Find the exact length of the third side.
10
6
PLEASE HELP GUH

Find The Exact Length Of The Third Side.106PLEASE HELP GUH

Answers

Answer 1

Answer:

8

Step-by-step explanation:

I'm using this equation: a^2+b^2=c^2

x^2+6^2=10^2

x^2+36+100

x^2= 64

x=sqrt64

x=8


Related Questions

A sphere has a radius of 6. Using 3.14 for pi, what is the volume?

Answers

Answer:

v= 904.78

Step-by-step explanation:

Answer:

904.77868423386 feet^3

Step-by-step explanation:

Step one the formula is 4/3 Pie R ^3

Step two you do 4/3 x PI x 6^3

Step three do exponents first so 6x6x6=216

Step four multiply 4/3 x 3.14 which equals 4.187

Step four finally you are going to multiply 216 by 4.187 to get   904.77868423386 feet^3

HELP ME PLS When solving a proportion to find the 12% tax, t, on a purchase price of $124.29, your cross multiplication led to the cross product equation:


100t = 1,491.48


Describe what step you can take from there in order to find the tax, t, and then state the amount of tax you calculated. Be sure to label your answer and round any decimal to the nearest hundredth.

Answers

Answer:

Below

Step-by-step explanation:

100t = 1491.48     divide both sides of the equation by 100 to get

t = 14.9148        round

t = 14. 91

Answer:

t = 14. 91

Step-by-step explanation:

Edward bought 4 t-shirts and 3 pairs of socks for $37. Zach bought 2 pairs of socks and 5 t-shirts for $41. How much does a pair of socks cost?​

Answers

Answer:

3$

Step-by-step explanation:

Let x be t-shirts and y socks.

4x + 3y= $37

2y + 5x= $41

x= (37 - 3y) ÷ 4

2y + 5((37-3y)÷4)=41

y=3

What is the class width for the class (65-72)kg?

Answers

Answer: Super Lightweight to Middleweight

Step-by-step explanation: I'm assuming you're talking about boxing weight class. If not, please let me know.

Write a chain rule formula for the following derivative.
di/dx for u = f(v); v = h(s, t)

Answers

The chain rule formula for di/dx is:

di/dx = (di/du) * (du/dv) * (dv/ds) * (ds/dx) + (di/du) * (du/dv) * (dv/dt) * (dt/dx)

How to write chain rule formula for a derivative?

To find di/dx for u = f(v); v = h(s, t), we can use the chain rule. The chain rule states that:

di/dx = (di/du) * (du/dv) * (dv/ds) * (ds/dx) + (di/du) * (du/dv) * (dv/dt) * (dt/dx)

Breaking down the chain rule, we have:

The first term (di/du) represents the derivative of i with respect to u, evaluated at u = f(v).The second term (du/dv) represents the derivative of v with respect to u, evaluated at v = h(s, t).The third term (dv/ds) represents the partial derivative of v with respect to s, evaluated at (s, t) corresponding to v = h(s, t).The fourth term (ds/dx) represents the derivative of s with respect to x.The fifth term (dv/dt) represents the partial derivative of v with respect to t, evaluated at (s, t) corresponding to v = h(s, t).The sixth term (dt/dx) represents the derivative of t with respect to x.

Therefore, the chain rule formula for di/dx for u = f(v); v = h(s, t) is:

di/dx = (di/du) * (du/dv) * (dv/ds) * (ds/dx) + (di/du) * (du/dv) * (dv/dt) * (dt/dx)

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Which is the last operation performed when evaluating (8 minus 2 x) squared + 4 for x = 3?
addition
multiplication
subtraction
applying the exponent

Answers

Answer:

Adding 4

Step-by-step explanation:

Pemdas

Answer:

Addition!

Step-by-step explanation:

Hope it helps <3

Which of the following demonstrates the correct first step in copying an angle?

Create a line that intersects the angle.

Draw a ray with one endpoint.

Create a point outside of the angle.

Swing an arc that intersects the angle's rays.

Answers

"Draw a ray with one endpoint" demonstrates the correct first step in copying an angle. This is further explained below.

What is the angle?

In general, the distance (which is sometimes stated as a degree) that occurs between two crossing lines or surfaces at or near the point where they meet. This distance might be positive or negative.

The formation of an angle is caused by the conjunction of two rays at a single point in space. The split or 'opening' that can be seen between these two rays is referred to as a 'angle,' and the symbol denotes this particular angle. The degree is the standard unit of measurement for angles, and its values include things like 60 degrees and 90 degrees, amongst other possible combinations.

In conclusion, "Draw a ray with one terminal" illustrates the correct first step in duplicating an angle. This step shows how to replicate an angle.

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Diana finished 5/8 of her homework. what percentage is equivalent to the fraction of homework that Diana completed

Answers

Answer:62.5%

Step-by-step explanation:

Is (2, 5) a solution of y < 3x − 2?

Answers

Answer:

No

Step-by-step explanation:

To determine whether (2, 5) is a solution of the inequality y < 3x - 2, we need to substitute x = 2 and y = 5 into the inequality and check whether the inequality holds.

y < 3x - 2

Substituting x = 2 and y = 5, we get:

5 < 3(2) - 2

Simplifying the right-hand side, we get:

5 < 6 - 2

5 < 4

This is not true, since 5 is not less than 4. Therefore, (2, 5) is not a solution of the inequality y < 3x - 2.

(L2) Given: PT¯ bisects ∠STR;PR¯ bisects ∠TRS;PS¯ bisects ∠RST;PX¯⊥RT¯;PY¯⊥ST¯;PZ¯⊥RS¯Prove: PX=PZ=PY

Answers

PS is the perpendicular bisector of ST, and P is equidistant from X and Y.

To prove that PX=PZ=PY, we need to show that P is the circumcenter of triangle XYZ, where X, Y, and Z are the midpoints of sides RT, ST, and RS, respectively.

First, we will show that P is equidistant from X and Z. Since PX is perpendicular to RT and PZ is perpendicular to RS, we have to show that PR is the perpendicular bisector of RT and RS. From the given information, we know that PR is the angle bisector of angle TRS and PS is the angle bisector of angle RST. Therefore, angle TPS is congruent to angle SPR, and angle SPR is congruent to angle RPS. This means that triangles RPS and TPS are similar, and we can use this similarity to show that PR is the perpendicular bisector of RT and RS. Specifically, we have:

PR/RS = PS/TS (by the angle bisector theorem)

PR/TS = PS/RS (by the same reasoning)

PR/TS = PR/RS (since PS/TS = PR/RS)

TS = RS (by cross-multiplying)

Therefore, PR is the perpendicular bisector of RT and RS, and P is equidistant from X and Z.

Next, we will show that P is also equidistant from X and Y. Since PY is perpendicular to ST, we have to show that PS is the perpendicular bisector of ST. Again using the angle bisector theorem, we have:

PS/RS = PT/RT

PS/TS = PT/RT

TS = RS

Therefore, PS is the perpendicular bisector of ST, and P is equidistant from X and Y.

Since P is equidistant from X, Y, and Z, it must be the circumcenter of triangle XYZ, and therefore PX=PZ=PY.

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help me please thank you !!
i’ll mark brain list !!

help me please thank you !!ill mark brain list !!

Answers

Answer:

G: 98.96017

Step-by-step explanation:

Kus math

V=πr2h=π·32·3.5≈98.96017

Answer:

The answer is (G) 98.96 cm cubed

Step-by-step explanation:

You would use the formula V=πr2h or V=Bh to solve this. :)

The answers to this question make no sense please help

The answers to this question make no sense please help

Answers

Answer:

Step-by-step explanation:

each die has numbers 1-6 thus there are 36 (6*6) possible outcomes

a) 18 of the 36 are even = 1/2 = .5 = 50%

b) (1,2) and (2,1) are the only 3's 2/36 = 1/18 = .055

c) there are 10 combos that are LESS THAN 6 (2,3,4,5)

   10/36 = .277 = 27.7%

2 3 4 5 6 7

3 4 5 6 7 8

4 5 6 7 8 9

5 6 7 8 9 10

6 7 8 9 10 11

7 8 9 10 11 12

0.0225×0.0256÷ 0.0015×0.48​

Answers

First, let's simplify the multiplication and division from left to right:

0.0225 × 0.0256 ÷ 0.0015 × 0.48 = 0.000576 ÷ 0.00072

Next, let's simplify the division by dividing the numerator by the denominator:

0.000576 ÷ 0.00072 = 0.8

Therefore, 0.0225 × 0.0256 ÷ 0.0015 × 0.48 simplifies to 0.8.


Answer:

0.18432

Step-by-step explanation:

Calculated using Desmos Graphing calculator.

Solve from left to right, paying order to order of operations, and you will get your answer.

7. use the data set hprice2. use lprice as y variable and (crime, nox, rooms, dist, radial, proptax, stratio, lowstat) as potential x variables. randomly split data into half, use one as training data and one as test data. estimate ridge and lasso regression with optimal chose by cross-validation. also estimate elas- tic net regression with with optimal and chose by cross-validation. which method gives the smallest mse?

Answers

1. Split the dataset equally into training and testing sets using "train_test_split" from "sklearn.model_selection".

2. Optimal regularization parameter values for ridge and lasso regression models minimize cross-validation MSE, found with "GridSearchCV".

3. The optimal value for elastic net regression minimizes cross-validation MSE, found with "GridSearchCV" over regularization and mixing parameter values.

4. Choose the method with the lowest MSE on the test set to determine the best-performing model.

To split the dataset into two equal halves for training and testing purposes, we can use a random sampling technique. One way to do this is to use the "train_test_split" function from the "sklearn.model_selection" module in Python. We can set the "test_size" parameter to 0.5 to split the data into two equal halves. This will give us a random split of the data that we can use for training and testing.

We can use the "GridSearchCV" function from the "sklearn.model_selection" module to perform a grid search over a range of regularization parameter values for both ridge and lasso regression. The optimal regularization parameter values for both models are the ones that minimize the mean squared error (MSE) during cross-validation.

To estimate the elastic net regression with optimal choice by cross-validation, we also need to tune the regularization parameter and the mixing parameter using cross-validation. We can use the "GridSearchCV" function to perform a grid search over a range of regularization parameter and mixing parameter values. The optimal values are the ones that minimize the MSE during cross-validation.

After estimating the models, we can evaluate their performance on the test set using the MSE metric. The method that provides the smallest MSE on the test set is the best-performing method. Therefore, we need to compare the MSE values of the test set for all three models and select the one with the lowest MSE value as the best performing method.

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--The complete question is, Suppose you have been given a dataset called "hprice2", which contains several variables including "lprice" as the dependent variable and "crime", "nox", "rooms", "dist", "radial", "proptax", "stratio", and "lowstat" as potential independent variables. Your task is to randomly split the dataset into two equal halves: one will be used as the training set, and the other as the test set.

You need to estimate the ridge and lasso regression models with optimal choices by cross-validation, and also estimate the elastic net regression with optimal choice by cross-validation. After estimating the models, you need to determine which method provides the smallest mean squared error (MSE) based on the test set.

To perform this task, please answer the following questions:

1. How would you split the dataset into two equal halves for training and testing purposes?

2. What are the optimal values chosen by cross-validation for ridge and lasso regression models, and how were they determined?

3. What is the optimal value chosen by cross-validation for the elastic net regression model, and how was it determined?

4. Which regression method provides the smallest MSE based on the test set?--

The cross section of a prism is an n sided polygon.
Circle the number of edges that the prism has.
2n
n+2
n+ 3
3n

Answers

The number of edges that the prism has is

n + 2

What does a prism's cross section look like?

When a plane intersects a prism, the shape formed is known as the cross section. The cross section of the prism will have the same form as the base if it is divided by a plane that runs horizontally and parallel to the base.

A prism is a 3-dimensional object with two congruent and parallel bases (which are polyggonal) connected by rectangular lateral faces. The number of edges of a prism is equal to the sum of the number of edges of the two bases and the number of lateral faces.

Each base of the prism has n edges, so the two bases together have 2n edges. The number of lateral faces of the prism is equal to the number of edges of one of its bases, so there are n lateral faces. Each lateral face has 4 edges, so the total number of edges of the lateral faces is 4n.

Therefore, the total number of edges of the prism is equal to the sum of the number of edges of the two bases (2n) and the number of lateral faces (4n), which is 2n + 4n = 6n.

In conclusion, the cross section of a prism is an n-sided polygon and the prism has n + 2 edges.

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6. Dashawn bought a CD that cost $18.99 and
paid $20.51, including tax. What was the percent
of tax he paid?
A. 5%
C. 3%
B. 2%
D. 8%

Answers

Answer:

b. 2%

Step-by-step explanation:

20.51/18.99

Answer:

First subtract 18.99 from 20.51

this equals 1.52

then divide 1.52 by 18.99

to find the percentage that 1.52 is of 18.99

this is 8%

• write each answer in simplest form.
1. 1/6 +2/6
2. 2/5 - 1/5

Answers

Answer:

1. 1/2

2. 1/5

Step-by-step explanation:

I used a calculator!

Answer:

1.3/6 or 1/2

2.1/5

Step-by-step explanation:

Just write that out, thats all the steps there is, 3/6 simplifies to 1/2 because they're equivalent

when a marketing researcher at burger king believes that local profits will increase by 5% if burger king increases its advertising budget in st. louis by $100,000 over the next three months, this is an example of a(n): secondary data analysis. experience survey. descriptive study. focus group. hypothesis.

Answers

This is an example of a hypothesis. A hypothesis is an educated guess or prediction about the relationship between variables based on prior knowledge or experience.

In this case, the marketing researcher has formed a hypothesis that increasing the advertising budget by $100,000 will result in a 5% increase in local profits in St. Louis over the next three months. This hypothesis can be tested through further research and data analysis to determine if it is supported by the evidence.

A hypothesis is a statement that proposes a potential relationship between two or more variables. It is often used in scientific research to provide a starting point for further investigation and to guide the development of experiments or studies. In the example you provided, the marketing researcher has formed a hypothesis that increasing the advertising budget by $100,000 in St. Louis will result in a 5% increase in local profits over the next three months.

The purpose of forming a hypothesis is to make predictions about what might happen in a certain situation based on prior knowledge or experience. In this case, the marketing researcher may have observed similar trends in the past or may have data to support their belief that increasing the advertising budget will lead to increased profits. The hypothesis provides a clear direction for the research, as the researcher can now design and conduct studies to test the hypothesis and see if it is supported by the evidence.

If the results of the studies support the hypothesis, it provides evidence that there is a relationship between advertising budget and local profits, and the researcher can make recommendations to the company to increase advertising budget in order to increase profits. On the other hand, if the results do not support the hypothesis, the researcher may need to revise the hypothesis or come up with a new one to explain the results.

In conclusion, a hypothesis is a critical component of the scientific research process, as it provides a starting point for further investigation and helps guide the development of studies

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Samantha and Henry are planting flowers and they decided that for every 5 tulips, they would like to plant 3 daisies. They need to plant 24 flowers to fill the garden. What number do they need to put into this tape diagram to get a total of 24 flowers?

Answers

Answer:

yw

Step-by-step explanation:

i dont get it

Answer:

Samantha and Henry are would need to plant 15 tulips and 9 daises.

or 3 sets.

Suppose 60% of a herd of cattle is infected with a particular disease. let p = the number of non diseased cattle in a sample of size 5. the distribution of y is

Answers

The distribution of y is \(P(y) = ^5C_y * (60\%)^y * (1 - 60\%)^{5-y}\)

How to determine the distribution?

The given parameters are:

Probability of success, p = 60%

Sample size, n = 5

The distribution of y is represented as:

\(P(y) = ^nC_y * p^y * (1 - p)^{n-y}\)

So, we have:

\(P(y) = ^5C_y * (60\%)^y * (1 - 60\%)^{5-y}\)

Hence, the distribution of y is \(P(y) = ^5C_y * (60\%)^y * (1 - 60\%)^{5-y}\)

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I really don't know what to do for this question! :( help?

I really don't know what to do for this question! :( help?

Answers

The amount of money she should deposit is 6131.14 dollars.

How to find the compound interest ?

The amount she should deposit can be found as follows:

\(p = \frac{A}{(1+\frac{r}{n} )^{nt} }\)

where

A = amount to depositr = raten = number of timest = timep = principal

Therefore,

p = \(\frac{20000}{(1+\frac{0.12}{4}{} )^{40} }\)

\(p=\frac{20000}{(1+0.03)^{40} }\)

\(p = \frac{20000}{1.03^{40} }\)

\(p=\frac{20000}{3.262037792}\)

Hence,

p = $6,131.14

Therefore, she should deposit 6131.14 dollars.

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By using long division, divide 4x3 + x2 – 36x - 9 by 4x + 1.​

Answers

Answer:

\(\frac{4x^{3}+x^{2}-36x-9}{4x+1}=\frac{x^{2}(4x+1)-9(4x+1)}{4x+1}\\ \\=\frac{(4x+1)(x^{2}-9)}{4x+1}\\ \\=x^{2}-9\\ \\=(x-3)(x+3)\)

The following equation y" - 2y = 2 tan^3 t has a particular solution yp(t) = tant. Find a general solution for the equation.

Answers

To find the general solution of the differential equation y" - 2y = 2 tan^3 t, we need to first find the complementary solution, yc(t), which is the solution to the homogeneous equation y" - 2y = 0.

The characteristic equation for this homogeneous equation is r^2 - 2 = 0, which has roots r = ±√2. Therefore, the complementary solution is yc(t) = c1 e^(√2t) + c2 e^(-√2t), where c1 and c2 are constants determined by any initial conditions given.

Now, to find the particular solution yp(t), we can use the method of undetermined coefficients. Since the non-homogeneous term is 2 tan^3 t, we guess a solution of the form yp(t) = A tan^3 t, where A is a constant to be determined.

Taking the first and second derivatives of yp(t), we get yp'(t) = 3A tan^2 t sec^2 t and yp''(t) = 6A tan t sec^4 t + 6A tan^3 t sec^2 t.

Substituting these into the original differential equation, we get:

yp''(t) - 2yp(t) = 6A tan t sec^4 t + 6A tan^3 t sec^2 t - 2A tan^3 t = 2 tan^3 t

Simplifying and equating coefficients, we get:

6A = 2, or A = 1/3

Therefore, the particular solution is yp(t) = (1/3) tan^3 t.

The general solution is then the sum of the complementary and particular solutions:

y(t) = yc(t) + yp(t) = c1 e^(√2t) + c2 e^(-√2t) + (1/3) tan^3 t.

This is the general solution to the given differential equation.
To find the general solution of the given equation y'' - 2y = 2 tan^3(t), we'll first consider the homogeneous equation and then find the particular solution.

Step 1: Solve the homogeneous equation y'' - 2y = 0
The characteristic equation is r^2 - 2 = 0. Solving for r, we get r = ±√2. Therefore, the general solution of the homogeneous equation is:

yh(t) = C1 * e^(√2*t) + C2 * e^(-√2*t)

Step 2: Find the particular solution using the given yp(t) = tan(t)
We are given that yp(t) = tan(t) is a particular solution to the non-homogeneous equation y'' - 2y = 2 tan^3(t). This means that when we plug yp(t) into the equation, it should satisfy the equation.

Step 3: Find the general solution by adding the homogeneous and particular solutions
The general solution is the sum of the homogeneous solution and the particular solution:

y(t) = yh(t) + yp(t)
y(t) = (C1 * e^(√2*t) + C2 * e^(-√2*t)) + tan(t)

So, the general solution for the given equation y'' - 2y = 2 tan^3(t) is:

y(t) = C1 * e^(√2*t) + C2 * e^(-√2*t) + tan(t)

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Solve the equation for x: 8x + 6 + 3x - 2 = 37

PLS HELP ASAPPPP

Answers

Answer: x = 3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

8x+6+3x−2=37

8x+6+3x+−2=37

(8x+3x)+(6+−2)=37(Combine Like Terms)

11x+4=37

11x+4=37

Step 2: Subtract 4 from both sides.

11x+4−4=37−4

11x=33

Step 3: Divide both sides by 11.

11x / 11 = 33 / 11

x = 3

Answer:x=3

HOPE IT HELPS:)

A coin is flipped five times. Find the number of possible sets of heads and tails that have at most 3 heads

Answers

Answer:

\(Sets = 27\)

Step-by-step explanation:

Given

\(Coin = 1\)

\(Toss = 5\)

Required

Number of outcomes with at most 3 heads

First, we list out the sample space of a toss of coin 5 times

\((HHHHH)\), \((HHHHT)\), \((HHHTT)\), \((HHTTT)\), \((HTTTT)\), \((TTTTT)\), \((TTTTH)\), \((TTTHH)\), \((TTHHH)\), \((THHHH)\), \((HTHTH)\), \((THTHT)\), \((HHTHH)\), \((TTHTT)\), \((HTTHT)\), \((THHTH)\), \((THHHT)\), \((HTTTH)\), \((THHTT)\), \((HTTHH)\), \((HHTTH)\), \((TTHHT)\), \((TTHTH)\), \((HHTHT)\), \((HTHTT)\), \((THTHH)\), \((THTTH)\), \((HTHHT)\), \((HTHTT)\), \((THTHH)\), \((HHHTH)\), \((TTTHT)\)

Next, we list out all outcomes with at most 3 heads

, , \((HHHTT)\), \((HHTTT)\), \((HTTTT)\), \((TTTTT)\), \((TTTTH)\), \((TTTHH)\), \((TTHHH)\), , \((HTHTH)\), \((THTHT)\), , \((TTHTT)\), \((HTTHT)\), \((THHTH)\), \((THHHT)\), \((HTTTH)\), \((THHTT)\), \((HTTHH)\), \((HHTTH)\), \((TTHHT)\), \((TTHTH)\), \((HHTHT)\), \((HTHTT)\), \((THTHH)\), \((THTTH)\), \((HTHHT)\), \((HTHTT)\), \((THTHH)\), \((TTTHT)\)

So, the number of set is:

\(Sets = 27\)

I really need help this is hard

I really need help this is hard

Answers

Answer:

y = 3x + 3

Step-by-step explanation:

Y intercept is 3 so that's at the end of the equation. Input the points and that equation fits.

simplify
\( \sqrt{12} \)

Answers

2 and then on the inside of a square root is 3

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

\(\huge\boxed{2\sqrt{3}}\)

»»————- ★ ————-««  

Here’s why:  

\(\boxed{\text{Simplifying the square root of 12}}\\\\\rightarrow\sqrt{12}\\\\\text{4 can be factored out of 12.}\\\\\rightarrow\sqrt{4(3)}\\\\\text{Two '2's can be factored out of 4.}\\\\\rightarrow\sqrt{2*2*3}\\\\\rightarrow\sqrt{2^2(3)}\\\\\text{Pulling out the terms from under the radical...}\\\\\rightarrow\boxed{2\sqrt{3}}\)

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

I'm struggling in this subject so if you'd give a step-by-step explanation that'd be great thx​

I'm struggling in this subject so if you'd give a step-by-step explanation that'd be great thx

Answers

A. First you must start by plugging in your equation solve Y = 2(5) + 1 then you must simplify by solving your 2×5+ 1 and then you end up with Y equals 11

B. Again plug in your equation Y = 2(-5) + 1 then you must simplify by solving your 2×-5+ 1 and then you end up with Y equals -10+ one which simplifies to y = -9

I hope this helps

Here the equation given to us is,

\({\blue{\boxed{\pink{y = 2x + 1}}}}\)

Now what we have to do is, we have to put the value of x in brackets () in both the equations . Why we have to put value of x in a bracket?

This is because 2 is being multiplied by the variable x. So let's solve the equations

a) When x = 5, what is the value of y?

Put the value of x here

y = 2x + 1

y = 2(5) + 1

y = 10 + 1

y = 11

b) When x = -5, what is the value of y?

y = 2x + 1

y = 2(-5) + 1

y = -10 + 1

y = -9

ANSWERS :-

a) y = 11

b) y = -9

k³-4j+12, when k=8, j=2​

Answers

The requried when k=8 and j=2, the value of the expression k³-4j+12 is 516.

Substituting k=8 and j=2 into the expression k³-4j+12, we get:

k³-4j+12 = 8³ - 4(2) + 12

= 512 - 8 + 12

= 516

Therefore, when k=8 and j=2, the value of the expression k³-4j+12 is 516.

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what’s (-5) x (-12)?? please show how so i can understand!!

Answers

Answer:

60

Step-by-step explanation:

Negative × negative = positive-5 × -12 = 60

I hope this helps!

Answer:

60

Step-by-step explanation:

Well when you have to multiply two negative numbers the result will be the positive number. So (-5)x(-12) is the same as 5x12, which will be 60

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Find the volume of the object. Darius takes his family on an afternoon boat ride.Going through York Canal, he drives 5 miles in 15 minutes.Later on as he crosses Stover Lake, he drives 30 minutes at the same average speed.Which statement about the distances is true?1. The distance traveled in York Canal is 15 miles less than the distance traveled on Stover Lake.2.The distance traveled in York Canal is twice the distance traveled on Stover Lake.3.The distance traveled in York Canal is one half the distance traveled on Stover Lake.4.The distances traveled in York Canal and Stover Lake are the same. A bond pays dividends of $110 at the end of each year. If the bond matures in 20 years, what is the face value at an interest of 12% compounded annually. The boind value is 1,319. suppose an automobile manufacturer designed a radically new lightweight engine and wants to recommend the greade of gggasoline The average daily volume of a computer stock in 2011 was million shares, according to a reliable source. A stock analyst believes that the stock volume in 2014 is different from the 2011 level. Based on a random sample of trading days in 2014, he finds the sample mean to be million shares, with a standard deviation of s million shares. Test the hypotheses by constructing a % confidence interval. Complete parts (a) through (c) below. (a) State the hypotheses for the test. : mu equals million shares : mu not equals million shares (b) Construct a % confidence interval about the sample mean of stocks traded in 2014. The lower bound is nothing million shares. The upper bound is nothing million shares. (Round to three decimal places as needed.) (c) Will the researcher reject the null hypothesis? Who was the 16th president in the United States? What is Cathode Ray Tube ? Do the points in this set form a proportional relationship? Why or why not?{(-3, -9), (1, -1), (3, 3), (6,9)}A)Yes, because the line connecting the points is a straight line.B)Yes, because the line connecting the points passes through the origin.C)No, because the line connecting the points is not a straight line.D)No, because the line connecting the points does not pass through the origin. which of the following is not a capital component when calculating the weighted average cost of capital (wacc) for use in capital budgeting? group of answer choices preferred stock. long-term debt. common stock. accounts payable. retained earnings. The balance of Susus savings account can be represented by the variable b. The inequality describing her balance is b greater-than 30 dollars. Which could be a solution to the inequality? Determine the direction of the magnetic field of the current-carrying wire in the vicinity of the loop. the best definition of a patent is a.the exclusive right to publish and sell literary, artistic, or musical compositions. b.a name, term, or symbol used to identify a business or its product. c.the exclusive right to produce and sell goods with one or more unique features. d.an asset created from favorable factors such as location, product quality, reputation, and managerial skills. What religion parallels with the Aryan culture eeWhich passage from the Article best supports the idea thatanxiety can get in the way of someone's daily activities?A. Thirteen-year-old Alexandra West understands. Shealso has an anxiety disorder. Throughout the day, shehas negative thoughts. She worries about even thesmallest things.B. Alexandra's got a tip for kids who may be sufferingfrom an anxiety disorder: Don't suffer in silence. "Talkto an adult, like a parent or the guidance counselor atschool," she says. "It helps to let people know howyou're feeling."C. There's a reason Margaret and Claire experiencesudden controlling fear. They both have an anxietydisorder. This anxiety can lead to panic attacks orother uncomfortable feelings.D. A 2019 report notes that one in three teens betweenthe ages of 13 and 18 has an anxiety disorder. The table shows the distribution of malestudents and left- and right-handed students in the mathclub. Find the probability that a student selected atrandom is left-handed, given that the student is female.Express your answer as a fraction in simplest form.Left-handed Right-handedMale244Female5 30 Which one of the following quantities is at a maximum when an object in simple harmonic motion is at its maximum displacement?A) VelocityB) AccelerationC) Potential energyD) Kinetic energy A patient presents with a headache, BP of 180/110 , and difficulty speaking. What nervous system condition these symptoms suggest? What would the appropriate tone be for the following sentence? I cannot believe I have the chicken pox and cannot go to the football game Friday.A. exasperationB. sadnessC. resentfulD. all of the ablove What is the purpose of cytokinesis?to divide the nucleusto divide the cytoplasmto make another copy of DNAto form a parent cell from a daughter cellThe anwser is B The revolution in color and form that began in the early twentieth century is epitomized by the two styles known as Fauvism and Cubism. Which of the following options relates to which style