What is this called ,

Answer:

The answer is 25.

Step-by-step explanation:

First, you solve 6+x=13. Minus 6 from each side. You get x=7.

Next, plug x into the equation 8x-31. You get 8(7)-31. Solve 56-31, which you then get 25.

Answer:

36

Step-by-step explanation:

12*3=36

Given:

\(7-2y>3y+13\)

To find:

The whether the value \(y=-1\) is a solution of the given inequality or not.

Solution:

We have,

\(7-2y>3y+13\)

It can be rewritten as

\(-2y-3y>13-7\)

\(-5y>6\)

Divide both sides by -5 and change the inequality sign.

\(y<\dfrac{6}{-5}\)

\(y<-1.2\)

All the value of y less -1.2 are the solutions of the given inequality but -1 is greater than -1.2.

\(-1>-1.2\)

Therefore, \(y=-1\) is not a solution of the given inequality.

The dot product of two vectors u and v can be represented using index notation as u_i v_i.

A mathematical language called index notation is used to describe the components of a vector or tensor. It consists of an element's position in the vector or tensor and a symbol, typically a Latin or Greek letter.

A mathematical language called index notation is used to describe the components of a vector or tensor. The element's position in the vector or tensor is indicated by a symbol (often a Latin or Greek letter) with an integer subscript. How to utilise index notation is as follows:

Vectors can be represented by a single letter with a subscript, such as v i, where I stands for the element's position in the vector.

Tensors are multidimensional arrays that can be described using an index notation for each element. For instance, T i,j can be used to represent the element in a matrix's ith row and jth column.

Executing operations: Index notation can be used to express operations like matrix multiplication and the vector dot product. For instance, u_i v_i can be used to denote the dot product of the two vectors u and v.

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Answer:

\(\large\boxed{\tt x^{\circ}= 90^{\circ}}\)

Step-by-step explanation:

\(\textsf{We are asked to find the value of x.}\)

\(\textsf{The value of x is an angle for this triangle.}\)

\(\textsf{Note that we are given 2 other angles, we can use what is given to us to solve for x.}\)

\(\large\underline{\textsf{What is a Triangle?}}\)

\(\textsf{A Triangle is a shape with 3 sides, and 3 angles. Sometimes these can be congruent,}\)

\(\textsf{other times, and most of the time they're not. These are called Equilateral}\)

\(\textsf{Triangles. Every Triangle consists of 3 angles that add up to 180}^{\circ}. \ \textsf{If the angles}\)

\(\textsf{don't add up to 180}^{\circ}, \ \textsf{then the shape is not a triangle.}\)

\(\textsf{Now that we know a Triangle has 3 angles that add up to 180}^{\circ}, \ \textsf{we can create an}\)

\(\textsf{equation where x is the \underline{subject}.}\)

\(\large\underline{\textsf{Solving;}}\)

\(\textsf{All 3 angles add up to 180}^{\circ}, \ \textsf{let's create an equation.}\)

\(\tt 180^{\circ} = 37^{\circ} + 53^{\circ} + x^{\circ}\)

\(\textsf{To make x the subject, move x to the other side of the equation by subtracting x.}\)

\(\tt 180^{\circ} - x^{\circ}= 37^{\circ} + 53^{\circ} + x^{\circ} - x^{\circ}\)

\(\textsf{We should also move 180}^{\circ} \ \textsf{to the other side of the equation as well.}\)

\(\tt 180^{\circ} - 180^{\circ} - x^{\circ}= 37^{\circ} + 53^{\circ} -180^{\circ}\)

\(\underline{\textsf{We should have;}}\)

\(\tt- x^{\circ}= -180^{\circ} + 37^{\circ} + 53^{\circ}\)

\(\textsf{We should remove the negative for x by dividing the whole equation by -1.}\)

\(\frac{\tt- x^{\circ}= -180^{\circ} + 37^{\circ} + 53^{\circ}}{-1} \rightarrow \tt x^{\circ}= 180^{\circ} - 37^{\circ} - 53^{\circ}\)

\(\underline{\textsf{Simplify the right side of the equation;}}\)

\(\large\boxed{\tt x^{\circ}= 90^{\circ}}\)

Answer:

-45

Step-by-step explanation:

Answer:-45

Step-by-step explanation:

-8-28+(-9)

-8-28-9

calculate the sum of the NEGATIVE NUMBERS

the data are normally distributed with a mean of 74.674.6 hours and a standard deviation of 9.19.1 hours. So  10.2% of gadgets were powered by batteries for fewer than 63 hours.

Given that,

Data have a mean of 74.6 hours and a standard deviation of 9.1 hours, and they are regularly distributed.

The standard deviation is defined as ?

The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability.

\(p(X\leq 63) = p(Z\leq 63-74.6/9.1)\)

From standard deviation,

         \(p(X\leq 63) = p(Z\leq -1.279)= 0.1061\)

a certain percentage of gadgets have battery life of less than 63 hours.

X= 63 hours

Percentage of devices ran on the batteries for fewer than 63 hours = 10.2%

Therefore, 10.2% of electronic devices had battery life of less than 63 hours

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Answer:

x = -8

Step-by-step explanation:

3x = 24 + 6x

3x - 6x = 24

-3x = 24

x = 24/-3

x = -8

The largest possible volume of the box, given the constraint of 1700 square centimeters of material, is approximately 18709.5437 cubic centimeters. This volume is achieved by making the base of the box with a side length of approximately 23.2379 centimeters.

To determine the largest possible volume of the box with a square base and an open top, we need to maximize the volume.

Let's assume that the length of each side of the square base is 's' centimeters, and the height of the box is 'h' centimeters.

The volume of a box with a square base is given by V = s² * h.

We have that the total surface area of the material available is 1700 square centimeters. The surface area of the box consists of the base and four sides, so we have:

Surface area = s²+ 4sh

Since the top is open, we don't need any material for it.

Now, we can rewrite the surface area equation as:

s² + 4sh = 1700

To maximize the volume, we can solve this equation for 'h' in terms of 's' and substitute it into the volume equation:

h = (1700 - s²) / (4s)

V = s² * [(1700 - s²) / (4s)

Simplifying further:

V = (1/4)(1700s - s³)

To determine the largest possible volume, we need to maximize this function. We can take the derivative of V with respect to s, set it to zero, and solve for 's'.

dV/ds = 1700/4 - (3/4)s²

Setting dV/ds = 0, we have:

1700/4 - (3/4)s² = 0

Simplifying further:

1700 = 3s²

s² = 1700/3

s ≈ 23.2379 cm

Substituting this value of 's' into the volume equation, we get:

V ≈ (1/4)(1700 * 23.2379 - (23.2379)^3)

V ≈ 18709.5437 cubic centimeters

Therefore, the largest possible volume of the box is approximately 18709.5437 cubic centimeters.

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The correct calculation that multiplies 23 by 0.01 is 23 * 0.01. This will give you the ans.23.0

1. 23%: This represents 23 percent of a whole. To convert a percentage to a decimal, you divide it by 100. So, 23% is equal to 0.23. This is not the correct calculation.

2. 23: This is simply the number 23 without any multiplication or division. This is not the correct calculation.

3. 23 + 0.01: This equation adds 23 and 0.01 together. The result is 23.01. This is not the correct calculation.

4. 24 - 0.01: This equation subtracts 0.01 from 24. The result is 23.99. This is not the correct calculation.

In summary, to multiply 23 by 0.01, you would use the equation 23 * 0.01, which equals 0.23.

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Answer:

C. $0 because $25.36 and -$25.36 are additive inverses.

Step-by-step explanation:

Additive inverses means 2 numbers that are the complete opposite.

When additive inverses are added together, their sum is 0.

Example: 1 and -1.

They're both additive inverses because they're on the opposite sides on the number line, if -1 had to be a positive, it wouldn't be an inverse.

Given:

Solve:

Let's add both -25.36 and 25.36.

-25.36 + 25.36 = 0.

C. is the correct choice, and the reasoning is valid.

At pH 12, the predominant form of methionine (pKa = 2.28 and 9.21) would be the deprotonated form, which is represented as -CH2-S-CH2-CH(NH3+)COO-.

At this high pH, both the carboxylic acid (-COOH) and the amino group (-NH3+) on the side chain of methionine will be deprotonated, resulting in a negatively charged side chain. This form of methionine has a net charge of -1. At this pH, the amino acid will exist predominantly in its anionic form since the pH is higher than both of its pKa values. Methionine's isoelectric point (pI) is 5.74, which is the pH at which its net charge is zero.

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Answer:

5 x + 2

Step-by-step explanation:

Answer:

y = (-1/5)x + 2

Step-by-step explanation:

A line perpendicular to y = 5x + 2 would have a flipped opposite slope. Note the slope in the slope-intercept form:

y = mx + b

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

Flip the slope:

y = 5x + 2

y = (-1/5)x + 2

y = (-1/5)x + 2 is your answer.

~

We have shown that the value of w + w² + w³ + ... + \(w^t\), where w₁ is a root of the equation \(2^x\) = 1, is equal to -1.

We have,

To show that the value of w + w² + w³ + ... + \(w^t\) is equal to -1, where w₁ is a root of the equation \(2^x\) = 1, we can use the properties of geometric series.

First, let's express the sum of the geometric series w + w² + w³ + ... + \(w^t\) as S:

S = w + w² + w³ + ... + \(w^t\)

Now, we can multiply both sides of the equation by w:

wS = w(w + w² + w³ + ... + \(w^t\))

Notice that in the expression w(w + w² + w³ + ... + \(w^t\)), every term after the first term is the same as the original series w + w² + w³ + ... + \(w^t\), except shifted by one power.

So we can rewrite the expression as:

wS = w² + w³ + ... + \(w^{t+1}\)

Now, let's subtract the original series from this expression:

wS - S = (w² + w³ + ... + \(w^{t+1}\)) - (w + w² + w³ + ... + \(w^t\))

On the right side, we can notice that most terms will cancel out:

\(wS - S = w^{t+1} - w\)

Now, let's factor out S on the left side:

\(S(w - 1) = w^{t+1} - w\)

Since we know that w₁ is a root of the equation \(2^x\) = 1, we have w₁ = 1.

Substituting w = 1 into the equation, we get:

\(S(1 - 1) = 1^{t+1} - 1\)

0 = 1 - 1

0 = 0

The equation holds true for any value of t, including positive integers.

Therefore,

We have shown that the value of w + w² + w³ + ... + \(w^t\), where w₁ is a root of the equation \(2^x\) = 1, is equal to -1.

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The complete question:

If w₁ is a root of the equation \(2^x = 1,\) show that the value of w + w² + w³ + ... + \(w^t\), where t is a positive integer, will be equal to -1.

Step-by-step explanation:

f/9+27f=21

f(1/9+27)=21

f(244/9)=21

f=189/244

Answer:

Part A

b. 14.6 ± 7.38

Part B

b. 3.43

Part C

a. P-value < 0.01

Part D

b. There is sufficient evidence to reject the null hypothesis

Step-by-step explanation:

Part A

The given data are;

The number of seedlings in the field = 20

The number of seedlings selected to receive herbicide A = 10

The number of seedlings selected to receive herbicide B = 10

The height in centimeters of seedlings treated with Herbicide A, \(\overline x _1\) = 94.5 cm

The standard deviation, s₁ = 10 cm

The height in centimeters of seedlings treated with Herbicide B, \(\overline x _2\) = 109.1 cm

The standard deviation, s₂ = 9 cm

The 90% confidence interval for μ₂ - μ₁, is given as follows;

\(\left (\bar{x}_{2}- \bar{x}_{1} \right )\pm t_{\alpha /2}\sqrt{\dfrac{s_{1}^{2}}{n_{1}}+\dfrac{s_{2}^{2}}{n_{2}}}\)

The critical-t at 95% and n₁ + n₂ - 2 degrees of freedom is given as follows;

The degrees of freedom, df = n₁ + n₂ - 2 = 10 + 10 - 2 = 18

α = 100% - 90% = 10%

∴ For two tailed test, we have, α/2 = 10%/2 = 5% = 0.05

\(t_{(0.025, \, 18)}\) = 1.734

\(C.I. = \left (109.1- 94.5 \right )\pm 1.734 \times \sqrt{\dfrac{10^{2}}{10}+\dfrac{9^{2}}{10}}\)

C.I. ≈ 14.6 ± 7.37714603353

The 90% C.I. ≈ 14.6 ± 7.38

b. 14.6 ± 7.38

Part B

With the hypotheses are given as follows;

H₀; μ₂ - μ₁ = 0

Hₐ; μ₂ - μ₁ ≠ 0

The two sample t-statistic is given as follows;

\(t=\dfrac{(\bar{x}_{2}-\bar{x}_{1})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}\)

\(t-statistic=\dfrac{(109.1-94.5)}{\sqrt{\dfrac{10^{2} }{10}+\dfrac{9^{2}}{10}}} \approx 3.43173361147\)

The two sample t-statistic ≈ 3.43

b. 3.43

Part C

From the t-table, the p-value, we have, the p-value < 0.01

a. P-value < 0.01

Part D

Given that a significance level of 0.05 level is used and the p-value of 0.01 is less than the significance level, there is enough statistical evidence to reject the null hypothesis

b. There is sufficient evidence to reject the null hypothesis.

Therefore, the vector form of the equation y = x² - 8x + 15 is y = (x - 4)² + 14. The vertex of the parabola is at the point (4, 14).

To convert the quadratic equation y = x² - 8x + 15 from standard form to vertex form, we need to complete the square by adding and subtracting a constant term. Here's the step-by-step explanation:

Factor the coefficient of x²: The coefficient of x² is 1, so we don't need to factor it.

Group the x terms: Rewrite the quadratic equation as y = (x² - 8x) + 15.

Complete the square: To complete the square, we need to add and subtract a constant term that will make the expression inside the parentheses a perfect square trinomial. The constant we need to add is half of the coefficient of x, squared: (8/2)² = 16.

y = (x² - 8x + 16 - 16) + 15 // add and subtract 16

y = (x - 4)² - 1 + 15 // factor and simplify

Simplify: Now we can simplify the expression by combining the constants -1 and 15 to get 14.

y = (x - 4)² + 14

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As per the given data of individual songs ,number of albums and the total money Jada spend on downloading music , the required equation is given by 1.25s + 5a = $20.

As given in the question,

Let s represent the number of downloading song

And a represent the number of albums

Cost of downloading individual song is $1.25

Cost of downloading album  is $5

Total money spend by Jada on downloading music is $20.

Required equation is

1.25s + 5 a = $20

When number of downloading individual songs = 4

Then ,

1.25(4) + 5a =20

⇒5a = 20 -5

⇒ a= 3

When number of downloading albums=1

Then ,

1.25s + 5(1) =20

⇒1.25s = 20 -5

⇒ a= 12

When number of downloading individual songs  = 1

Then ,

1.25(16) + 5a =20

⇒5a = 20 -20

⇒ a= 0

Therefore, for the given data of individual songs ,number of albums and the total money Jada spend on downloading music , the required equation is given by 1.25s + 5a = $20.

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Answer:

-14x+10

Step-by-step explanation:

-2(7x - 5)

-14x+10

well thats hard

Answer:

\(\rm{-14x+10\)

Step-by-step explanation:

Hi there!

The Distributive Property states that

a(b+c)=ab+ac

We multiply a by everything inside the parentheses.

-2(7x-5)

Multiply -2 by 7x and -5:

-14x+10

Thus, \(\rm{-14x+10\) is the answer.

\(\star\star\)Hope it helps!

Enjoy your day!

\(\bold{GazingAtTheStars}\)

Answer:

70

Step-by-step explanation:

because 70 times 6 equals 420

156 customers are expected to wear a black shoe.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes

As per the given data:

Customers with black shoes = 13 out of 30

Customers with brown shoes = 17 out of 30

Total customers in the mall = 360

Probability that a customer wears black shoes:

P(B) = 13/30 = 0.433

Number of customers out of 360 expected to wear black shoes:

= P(B) × 360

= 0.433 × 360

= 156 customers.

Hence, 156 customers are expected to wear a black shoe.

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Answer:

x = 3

Step-by-step explanation:

Given the linear function, f(x) = -4x + 2, for which we must determine the integer value of x that will provide an output of f(x) = -10:

The first step is to substitute the output value, f(x) = -10, into the given function, and solve for its corresponding input value, x:

f(x) = -4x + 2

-10 = -4x + 2

Subtract 2 from both sides:

-10 - 2 = -4x + 2 - 2

-12 = -4x

Divide both sides by -4 to solve for x:

\(\displaystyle\mathsf{\frac{-12}{-4}\:=\:\frac{-4x}{-4} }\)

x = 3

Hence, when x = 3, f(x) = -10.  

Substitute the value of x = 3 into the original function:

f(x) = -4x + 2

f(3) = -4(3) + 2

f(3) = -12 + 2

f(3) = -10  ⇒  f(x) = -10.

Therefore, the input value of x = 3 gives an output value of f(x) = -10.

The value of x is 4√6. The value of y is 4√2.

What are similar triangles?

If two triangles have the same ratio of corresponding sides and an equal pair of corresponding angles, they are similar. When two or more figures have the same shape but differ in size, they are referred to as similar figures.

Consider △ABC:

Height = AC = x, Hypoteneous = BC = 4+8 = 12.

Consider △ADC:

Height = DC = 8, Base = AD = y, Hypoteneous =  AC = x

Consider △ABD:

Height = AD = y, Base = 4.

The triangle ABC is similar to ADC, and ABC is similar to ABD. Since all have one right angle and one angle is common.

The ratio of the corresponding sides of similar triangles is constant.

Consider △ABC and △ADC:

AC/DC = BC/AC

x/8 = 12/x

x² = 12×8

x = 4√6.

Since ABC is similar to ADC and ABC is similar to ABD. Then ADC is similar to ABD.

Consider △ADC and △ABD:

DC/AD = AD/BD

8/y = y/4

y² = 4×8

y = 4√2

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Answer: not spend anything

Step-by-step explanation:

not spend anything :) YOUR WELCOME

The probability that there will be at least 4 typos on page 301 is 0.847

To solve this problem, we need to make some assumptions. Let's assume that the number of typos on each page follows a Poisson distribution with a mean of 6 typos per page, and that the number of typos on one page is independent of the number of typos on any other page.

Under these assumptions, we can use the Poisson distribution to calculate the probability of observing a certain number of typos on a given page.

Let X be the number of typos on page 301. Then X follows a Poisson distribution with a mean of 6 typos per page. The probability of observing at least 4 typos on page 301 can be calculated as follows

P(X ≥ 4) = 1 - P(X < 4)

= 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3)

Using the Poisson distribution formula, we can calculate the probabilities of each of these events

P(X = k) = (e^-λ × λ^k) / k!

where λ = 6 and k is the number of typos. Thus,

P(X = 0) = (e^-6 × 6^0) / 0! = e^-6 ≈ 0.0025

P(X = 1) = (e^-6 × 6^1) / 1! = 6e^-6 ≈ 0.015

P(X = 2) = (e^-6 × 6^2) / 2! = 18e^-6 ≈ 0.045

P(X = 3) = (e^-6 × 6^3) / 3! = 36e^-6 ≈ 0.091

Plugging these values into the equation above, we get

P(X ≥ 4) = 1 - (e^-6 + 6e^-6 + 18e^-6 + 36e^-6)

≈ 0.847

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Answer:

\(\rightarrow \sf x^2=\:17x\:+\:60\)

change sides

\(\rightarrow \sf x^2 -17x -60 = 0\)

breakdown, (60 : 20 * 3)

\(\rightarrow \sf x^2 -20x +3x-60 = 0\)

factor the following

\(\rightarrow \sf x(x -20) +3(x-20) = 0\)

collect into groups

\(\rightarrow \sf (x +3)(x-20) = 0\)

final answer

\(\rightarrow \sf x=-3, \ 20\)

Answer:

(x-20) (x+3) =0

Step-by-step explanation:

x ^ 2 = 17x + 60​

Subtract 17x from each side

x ^ 2 - 17x = 60​

Subtract 60 from each side

x ^ 2 - 17x - 60=0

What 2 numbers multiply by -60 and add to -17

-20 * 3 = -60

-20 +3 = -17

(x-20) (x+3) =0

​

Omar should go back and regroup the terms in step 1 as (3x^3 – 15x^2) – (4x + 20). In step 2, Omar should factor only out of the first expression.

When factoring polynomials, it is essential to look for common factors that can be factored out. In this case, Omar noticed that there are no common factors in the given polynomial. To proceed, he should go back and regroup the terms in step 1 as (3x^3 – 15x^2) – (4x + 20).

This regrouping allows Omar to factor out of the first expression, which can potentially lead to further factoring or simplification. However, without additional information about the polynomial or any specific instructions, it is not possible to determine the exact steps Omar should take after this point.

In summary, regrouping the terms and factoring out of the first expression is a reasonable next step for Omar to explore the polynomial further.

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Answer:

90

Step-by-step explanation:

So, you need to calculate both of the areas of the shapes and then subtract them.

so, 9×12=108

and

3×6=18

108-18=90

Answer:

90

Step-by-step explanation:

area of the big rectangle

minus

the area of the small rectangle

108 - 18 = 90

Hence, The selling price of the article is $48 .

Given that ,

The cost price of article is = $40

And the profit = 20% = 0.2

We have to find,

The selling price of the article.;

Then,

According to the question,

Selling price = Cost price of article + 20% profit

                     = $40 + 0.2 × $40

                     = $40 + $8

                     = $48

Hence, The selling price of the article is $48 .

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