PLEASE HELP QUICK
The costume jewelry and accessories for the show are bought from sales racks at two different stores on different days. Use x to represent the price of each item on the sales rack at the first store and y to represent the price of each item on the sales rack at the second store.

On the first day, the students spent $30 on 4 items from the first store and 7 items from the second store. On the second day, the students spent $22 on 3 items from the first store and 5 items from the second store. On the third day, the students need to buy 10 items from the first store and 17 items from the second store.

What is the amount of money the students will need on the third day? Find your answer by creating and solving a system of linear equations based on the first day and the second day. Explain your reasoning.

Answer:

c

Step-by-step explanation:

The probability that a randomly selected product will be assembled in less than 91.630 minutes or more than 130.35 minutes is 0.0474 or 0.033.

Given,

In a normal random variable

Mean , \(\mu\) = 110 minutes

Standard deviation , \(\sigma\) = 11 minutes

then

The probability that a randomly selected product will be assembled in less than 91.630 minutes or more than 130.35 minutes will be

a)

To find the Probability that a randomly selected product will be assembled in less than 91.630 minutes, first calculate the z-score at 91.360 minutes

\(z-score = \frac{x-\mu}{\sigma}\\\\z-score=\frac{91.63-110}{11}\\\\z-score=\frac{-18.37}{11}=-1.67\\\)

from z-score table , \(p(x < -1.67)=0.04746\)

b)

To find the Probability that a randomly selected product will be assembled in more than 130.35 minutes, first calculate the z-score at 130.35 minutes.

\(z-score = \frac{130.35-110}{11}\\\\z-score=\frac{20.35}{11}=1.85\)

From z-score table,

\(p(x > 1.85)\\\\=1-p(x < 1.85)\\\\=1-0.967\\\\=0.033\)

Thus, the probability for product assembled in more than 130.35 minutes is 0.033

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Answer:

H is -5

Step-by-step explanation:

5 -2x = 15

-2x = 15 -5

-2x = 10

x = -5

Answer:

Approx 3 hours.

Step-by-step explanation:

750 + 255c = 1605

255 c = 855

c = approximately 3 hours.

Answer:

The crew worked 6 hours.

Step-by-step explanation:

$255 x 6 = $1530

Add the "Per Day Fee" of $75

$1530 + $75 = $1605 Dollars

Answer:

k = 9

Step-by-step explanation:

Consider the pattern on the right side , that is

\(T_{k}\) = k(k + 2) + 1 = k² + 2k + 1

Equating

k² + 2k + 1 = 100 ( subtract 100 from both sides )

k² + 2k - 99 = 0 ← in standard form

(k + 11)(k - 9) = 0 ← in factored form

Equate each factor to zero and solve for k

k + 11 = 0 ⇒ k = - 11

k - 9 = 0 ⇒ k = 9

But k > 0 , then k = 9

Answer:

Step-by-step explanation:

$16 / 8 cans = $2 per can

Answer: So after solving and simplifying terms equation is\(x^4+10x^3-47x^2-360x+1296\)

Step-by-step explanation: Given we have two equations f(x) =\(x^{2} +4x-32\) and g(x) = \(x-4\)

we have been asked to find ( f +g)(x) that is f(x)+g(x)

So first we add them \(x^{2} +4x-32 + x-4\)

So we have an equation that is: \(x^{2} +5x-36\)

Then we need to multiply both

\((x^2+5x-36)(x^2+5x-36)\)

So we get\(\left(x^2+5x-36\right)^2\)

Distribute parentheses

\(x^2x^2+x^2\cdot \:5x+x^2\left(-36\right)+5xx^2+5x\cdot \:5x+5x\left(-36\right)-36x^2-36\cdot \:5x-36\left(-36\right)\)

On simplifying

\(x^4+10x^3-47x^2-360x+1296\)

So standard form of result is \(x^4+10x^3-47x^2-360x+1296\) .

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Given that the ordered pair makes the function and these pairs are

[ (2,5), (7,1), (5,9), (8,0), ( , ) ]

Since the function is the one that has the input having only one output.

Hence, the given options (3,4) is correct.

Therefore the ( 3, 4 ) is the pair.

Answer:i think its 115 degres

Step-by-step explanation:

Answer:

11 and 19

Step-by-step explanation:

X + (X+8) = 30

Open bracket

X plus X + 8 = 30

2x + 8= 30

Collect like terms

2x = 30 - 8

2x = 22

X=11

And x + 8 = 11 + 8= 19

The cost of the athletic shoe is $20 meanwhile the cost of the casual shoe is $35.

A system of equations is the given term of math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.

You can solve a system of equations by substitution or adding methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

Firstly, you should extract the main information of the question.

Next,  you should convert the given text information into equations. See below.

20A+10C=750 (1)

25A+20C=1200 (2)

From the substitution method, you can solve this question by following the steps below:

1) Multiply equation 1 by the number -2. Then, you have:

-40A-20C= -1500 (1)

25A+20C=1200 (2)

2) Sum the previous equations presented in step 1.

-15A=-300

15A=300

A=300/15

A=20

3) Find the variable C from equation 2. In step 2, you find  A=20, thus.

25A+20C=1200 (2)

25*20+20C=1200

500+20C=1200

20C=1200-500

20C=700

C=700/20

C=35

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Answer:

Step-by-step explanation:

This first step is to take the square root of the minus which is understood to be - 1

sqrt(-1) = i

So far what you have is

sqrt(-98) = i*sqrt(98)

sqrt(98) is just found the ordinary way

sqrt(98) = sqrt(7*7*2)

sqrt(7*7*2) = 7*sqrt(2)

Answer: 7 * i * sqrt(2) = i7*sqrt(2)

Pick the choice that looks like what you have done for homework.

The lower bound of the interval to determine the acceptance or rejection of VP's hypothesis is less than -1.28.

To find out the lower bound of the interval to test the VP's hypothesis we need to perform a one-sample t-test.

We will list the given values first:

Sample size (n) = 90

Sample standard deviation (s) = 32 minutes

Hypothesized mean (μ) = 216 minutes

Significance level (α) =  10 % (0.10)

Sample mean (x) = 206 minutes

Calculation of t-value by using the formula:

t = (x - μ) / (s / √n)

We will substitute the known values in the above formula.

t = (206 - 216 ) / (32 / √90)

t = -10 / (32 / √90)

t = -10 / (32 - 9.487)

t ≈ -2.77

We will find the critical t-value from the t-distribution table.

As we want the lower bound, we need to search for the critical value that leaves a 10 % probability in the left tail of the distribution table.

As the significance level is 10% the critical value will be -1.28.

We have to compare the t-value calculated before with the critical t-value to find out the acceptance or rejection of VP's hypothesis.

Suppose the calculated t-value is less than the critical t-value we will reject the VP's hypothesis.  

Whereas if the calculated t-value is greater than the critical t-value then we accept the VP's hypothesis.

For the given question the calculated t-value is less than the critical t-value. (-2.77 < -1.28 )

So the rejection of VP's hypothesis takes place.

So the lower limit for the interval to determine the acceptance or rejection of VP's hypothesis is -1.28.

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a. 2.0405 x 10^7

b. 2.0202 x 10^-2

c. 3.450 x 10^-1

d. 1.1111 x 10^-5

e. 1.0101 x 10^2

f. 9.0650 x 10^-2

a. To convert 20405000 to scientific notation, we move the decimal point to the left until there is only one non-zero digit to the left of the decimal point. This gives us 2.0405, and since we moved the decimal point 7 places to the left, we multiply by 10^7. Therefore, 20405000 can be expressed as 2.0405 x 10^7.

b. To convert 0.0202020 to scientific notation, we move the decimal point to the right until there is one non-zero digit to the left of the decimal point. This gives us 2.0202, and since we moved the decimal point 2 places to the right, we multiply by 10^-2. Therefore, 0.0202020 can be expressed as 2.0202 x 10^-2.

c. To convert 0.3450 to scientific notation, we move the decimal point to the right until there is one non-zero digit to the left of the decimal point. This gives us 3.450, and since we moved the decimal point 1 place to the right, we multiply by 10^-1. Therefore, 0.3450 can be expressed as 3.450 x 10^-1.

d. To convert 0.000011111 to scientific notation, we move the decimal point to the right until there is one non-zero digit to the left of the decimal point. This gives us 1.1111, and since we moved the decimal point 5 places to the right, we multiply by 10^-5. Therefore, 0.000011111 can be expressed as 1.1111 x 10^-5.

e. To convert 101010 to scientific notation, we move the decimal point to the left until there is only one non-zero digit to the left of the decimal point. This gives us 1.01010, and since we moved the decimal point 2 places to the left, we multiply by 10^2. Therefore, 101010 can be expressed as 1.0101 x 10^2.

f. To convert 0.090650 to scientific notation, we move the decimal point to the right until there is one non-zero digit to the left of the decimal point. This gives us 9.0650, and since we moved the decimal point 1 place to the right, we multiply by 10^-1. Therefore, 0.090650 can be expressed as 9.0650 x 10^-2.

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for (d), the x value has changed, as the (-1) in the series acts as a multiplier and flips the convergence of the original series. This means that when x = -4, the original series converges, but when x = -7, the series in (d) converges. Therefore, the series in (d) converges.

(a) Diverges

(b) Diverges

(c) Converges

(d) Converges: The original series converges when x = -4 and diverges when x = 6. For (a), (b), and (c), the x value remains the same as in the original series, so the convergence or divergence of the series is the same as the original series. However, for (d) the x value has changed. The (-1) in the series acts as a multiplier and flips the convergence of the original series, so the series converges.

The convergence or divergence of a series is determined by the value of x in the series. In this particular case, when x = -4 the original series converges, and when x = 6 it diverges. For (a), (b), and (c), the x value is the same as in the original series, so the convergence or divergence of the series is the same as the original series. However, for (d), the x value has changed, as the (-1) in the series acts as a multiplier and flips the convergence of the original series. This means that when x = -4, the original series converges, but when x = -7, the series in (d) converges. Therefore, the series in (d) converges.

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Based on the given sample input and output, it appears that the `invert_dict` Python function is correctly inverting the dictionary.

The function takes a dictionary as input and produces an output where the keys and values of the input dictionary are swapped.

In the given example, the input dictionary is `{1: 10, 2: 10, 3: 20}`. After applying the `invert_dict` function, the output is `{10: [1, 2, 3], 20: [3]}`. This output indicates that the keys from the input dictionary have become values in the output, and the values from the input dictionary have become keys in the output.

Additionally, the function correctly handles duplicate values in the input dictionary by creating a list of keys associated with each unique value in the output dictionary.

Therefore, based on the provided sample input and output, it can be concluded that the `invert_dict` function is implemented correctly and successfully inverts the given dictionary.

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The inequality expression given as -x/3 < 5 has a solution of x > -15

From the question, the inequality is given as

-x/3 < 5

The above inequality can be re-written as follows

-x/3 < 5

There is no constant to add or subtract in the expression

So, we start by multiplying both sides of the expression by a constant

Multiply both sides by 3

expression

-x < 15

Divide both sides by -1

So, we have the following representation

x > -15

Hence, the solution to the expression is x > -15

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Answer:

.42 n = p

Step-by-step explanation:

We can use ratios to write this

2.52/6 = p/n

.42 = p/n

Multiply each side by n

.42 n = p

Answer:

A is correct

Step-by-step explanation:

2.52 for 6 oranges

2.52/6=0.42, so 0.42 for one orange.

p=0.42n

A sample that does not represent the entire group of interest is called a biased sample.

A biased sample is a sample that doesn't reflect the real-world population it is supposed to represent. It happens when the sample is chosen in such a way that some members of the population are less likely to be included than others.

Therefore, a biased sample may not be an accurate representation of the entire population.

For example, if a researcher wants to know how many people in a given area have access to the internet and chooses a sample of people from a high-income neighborhood, the results may be biased because people from low-income areas may have lower rates of internet access.

A biased sample can lead to inaccurate conclusions, and therefore, it's important to ensure that the sample is representative of the population. A random sample, on the other hand, ensures that all members of the population have an equal chance of being included in the sample.

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Answer:

check online for more information

Answer:

Check online for more informations.

Answer:

335.6511628

Step-by-step explanation:

Ux258-336=168

U-336=0.6511628

U=336.6511628

Answer:

\(\sqrt{45} /3\) = \(\sqrt{5}\) = 2.236

b/c \(\sqrt{45} /3\) = \(\sqrt{45} /\sqrt{9}\) = \(\sqrt{45/9}\) = \(\sqrt{5}\)

Step-by-step explanation:

\(\sqrt{45/3}\) = \(\sqrt{15}\) = 3.873

The population size after four days is 121.

Given that,

a population of protozoa with a constant relative growth rate of 0.8603 per member per day

let P be the population size and let t be the time interval then the given system modeled by the differential equation

\(\frac{dP}{dt}\) = 0.8603

by solving the separable equation and expifying both sides we get,

P = A \(e^{0.8603t}\)

From the condition that on day zero the population consist of four members,

i.e. P(0) = 4, A = 4

Therefore population size after four days is

P(4) = 4\(e^{4(0.8603)}\)

      = 4 \(e^{3.441}\)  

      = 4 × 30.295

P(4) =  121.2

nearest whole number is 121

i.e P(4) = 121

Hence the population size after four days is 121.

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The area bounded by y=√x and y=1/2x, when rotated about x-axis, produces a solid of revolution. Therefore, the volume can be found using integration. Let's first sketch the area to get a sense of what is going on in the given problem.

The area we are looking at is shaded in pink. It is bounded by the two curves y = √x and y = (1/2)x. The intersection points are (0,0) and (4,2)Now that we have the sketch, we can proceed to find the volume generated using integration. Firstly, let's take a look at the method we will use to find the volume for the area bounded by y=√x and y=1/2x. This method is called the Disk/Washer Method.The Disk Method is a slicing technique that makes use of the perpendicular distance between the curve and the axis of rotation to determine the radius of the circular disk.In this case, the axis of rotation is the x-axis. Thus, the radius of the disk is y, the perpendicular distance between the curve and the x-axis. The area of the disk can be calculated using the formula for the area of a circle.The volume of the disk can then be found by multiplying the area of the disk with the thickness of the disk (dx).The integral that represents the volume of the solid of revolution is: V=∫[pi*r^2]dxWhere, r = y and y is a function of x.We need to take limits from 0 to 4. Therefore, the integral becomes:V=∫[0,4] [pi* y^2] dxNow, we need to express y in terms of x.

Therefore, let's solve the two curves for x.y=√x and y=(1/2)xLet's equate these to find the intersection points:√x=(1/2)x2√x=xSquare both sides of the equation:x = 4Therefore, the limits of the integral will be from 0 to 4. To get y in terms of x, we need to solve for y in the equation y=√x.y=√xNow that we have y in terms of x, we can substitute it in the integral we derived above.V=∫[0,4] [pi* y^2] dxV=∫[0,4] [pi*(√x)^2] dxV=∫[0,4] [pi*x] dxV= [pi/2*x^2] |[0,4] = [8pi]/2 = 4πTherefore, the is (B) None of these. The correct answer is 4π.Explanation:Area bounded by y=√x and y=1/2x is rotated around the x-axis and we need to find the volume generated. The method we will use to find the volume for the area bounded by y=√x and y=1/2x is the Disk/Washer Method.

The Disk Method is a slicing technique that makes use of the perpendicular distance between the curve and the axis of rotation to determine the radius of the circular disk. The integral that represents the volume of the solid of revolution is V=∫[pi*r^2]dx where r = y and y is a function of x.

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The linear system has a unique solution for values of the parameter s that are not equal to zero.

Cramer's Rule is a method used to solve a system of linear equations by finding the determinants of coefficient matrices. In this case, we are looking for the values of the parameter s that will result in a unique solution for the given linear system.

When we apply Cramer's Rule, we compute the determinant of the coefficient matrix and the determinants of matrices obtained by replacing one column of the coefficient matrix with the constants from the right-hand side of the equations. If the determinant of the coefficient matrix is non-zero, then the system has a unique solution.

In our case, let's assume the given linear system has the form:

a1x + b1y + c1z = d1

a2x + b2y + c2z = d2

a3x + b3y + c3z = d3

We can construct the coefficient matrix and compute its determinant. If the determinant is non-zero, then the system has a unique solution. However, if the determinant is zero, it means that the system either has infinitely many solutions or no solutions at all.

To describe the unique solution, we can use the values of x, y, and z obtained by applying Cramer's Rule. These values will be specific to the given system and will depend on the coefficients and constants in the equations.

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Answer:

44.2545

Step-by-step explanation:

you can find the third angle by taking 180-(90+55)=a

a=35

use law of sines

Sin(angle)/(opposite side of angle)=Sin(another angle)/(opposite side of another angle)

so, sin(a)/A=sin(b)/B

sin(35)/33=sin(55)/x

x=sin(55)/(sin(35)/33)

x=44.2545

Hope this helps :)

Answer:

\( x=12\sqrt 2\)

x = 100

Step-by-step explanation:

\( \sin \: 45 \degree = \frac{12}{x} \\ \\ \frac{1}{ \sqrt{2} } = \frac{12}{x} \\ \\ \huge \red{ x = 12 \sqrt{2} } \\ \\ \\ \sin \: 45 \degree = \frac{x}{100 \sqrt{2} } \\ \\ \frac{1}{ \sqrt{2} } = \frac{x}{100 \sqrt{2} } \\ \\ x = \frac{100 \sqrt{2} }{ \sqrt{2} } \\ \\ \huge \purple{ x = 100 } \)

Answer:

Use the distance formula to determine the distance between the two points.

Distance

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

Substitute the actual values of the points into the distance formula.

√

(

4

−

(

−

5

)

)

2

+

(

9

−

2

)

2

Simplify.

Tap for more steps...

√

130

The result can be shown in multiple forms.

Exact Form:

√

130

Decimal Form:

11.40175425

…

image of graph

([)]|√>≥

789÷<≤

456/×

Answer:

0.63661977

Step-by-step explanation:

I dont know if I'm answering this right, but to find the radius you'd use the formula C/2π, and im gonna assume 4 is your circumference