Marie donated 40% of her comic books to a school. If se donated 14p comic books how may did she own before her donation

Answer:

C. 1/1,000

Step-by-step explanation:

yes or no ?

Answer:-2>-5

Step-by-step explanation:

if u look at a number line u see that -2 is closer to 0 witch means its greater

Answer:

694

Step-by-stp explanation:

Answer:

25

Step-by-step explanation:

You plug in the g(x) function into the f(x) function as the x, after this you replace the x with -1 and solve for you answer, so it should look like

f(g(x))=(2x+7)^2

f(g(-1)=(2*-1+7)^2=25

Answer:

3

Step-by-step explanation:

\(\sqrt{9}=\sqrt{3*3} = 3\)

The quadrilateral's image points will be A(3, 3) A'(-3, 3) R(5, 7) R'(-7, 5) M(7, 5) M'(-5, 7) Y(5, 1) Y' (-1, 5).

What do math quadrilaterals mean?

If a point (x, y) is rotated 90 degrees counterclockwise with respect to the origin, the rotational rule is:

(x, y) → (-y, x) (-y, x)

Consequently, the image point's coordinates following rotation will be (-y, x).

According to this rule, the quadrilateral's image points will be A(3, 3) A'(-3, 3) R(5, 7) R'(-7, 5) M(7, 5) M'(-5, 7) Y(5, 1) Y' (-1, 5)

We may obtain the graph of the picture quadrilateral A'R'M'Y' by graphing the image points.

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Answer:

a) variable = X

N = 15

Mean = 50.0933

SE Mean = 1.58

StDev = 6.11

Variance = 37.3321

Sum = 751.40

b) 95% Confidence interval = (46.997, 53.190) = (47.00, 53.19)

Step-by-step explanation:

variable = X

N = ?

Mean = ?

SE Mean = 1.58

StDev = 6.11

Variance = ?

Sum = 751.40

To fill in the missing quantities, we need to use some of their formulas.

For N, the number of variables

SE = Standard Error of the mean = σₓ = (σ/√N)

σₓ = Standard Error of the mean = 1.58

σ = standard deviation of the sample = 6.11

N = sample size = ?

1.58 = (6.11/√N)

√N = (6.11/1.58) = 3.8671

N = 3.8671² = 14.954374299 = 15 to the nearest whole number.

For the Mean

Mean = (Sum of variables)/(Number of variables)

Mean = ?

Sum of variables = 751.40

Number of variables = N = 15

Mean = (751.40/15) = 50.0933333333 = 50.093

For Variance

Variance = (Standard deviation)² = (6.11)² = 37.3321

b) To compute the confidence interval.

idence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

Sample Mean = 50.0933

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error of the mean)

Critical value will be obtained using the z-distribution. This is because although, there is no information provided for the population standard deviation, the sample size is large enough for the sample properties to approximate the population properties.

To find the critical value from the z-tables,

z at 95% confidence level = 1.960 (from the z-distribution tables)

Standard error of the mean = σₓ = (σ/√N)

Already calculated to be 1.58

95% Confidence Interval = (Sample mean) ± [(Critical value) × (standard Error of the mean)]

CI = 50.0933 ± (1.960 × 1.58)

CI = 50.0933 ± 3.0968

95% CI = (46.9965, 53.1901)

95% Confidence interval = (46.997, 53.190) = (47.00, 53.19)

Hope this Helps!!!

Answer:

$42

Step-by-step explanation:

Answer:

m-1: 31 degrees & m-4: 149 degrees

Step-by-step explanation:

we can start with im very bad at explaining but will try my best.

Step 1:

look at what you're given and remember the rules and principles of finding angles. so were given m-6. when having parallel lines with a perpendicular line the opposing side of the intercept will be the same. meaning that if m-6 is 149 then its opposing side, m-8, will have the same degree. but we know that with straight lines are 180 degrees so now that we have that out of the way we can move to step 2

Step 2:

you have the given and the rules to go with, so now we will begin to apply it. like i was saying a line is 180 degrees, and when we put a line through that we end up having different degrees. although theres an intercept the line is still 180 degrees. so to find the aligning angle we just have to subtract the given angle by our own knowledge.

180-149=31 this aligns with everything in this. there are only 2 angles necessary. 149 and 31, all we have to do now is plug it in.

M-5: 31 degrees

m-6: 149 degrees

m-7: 31 degrees

m-8: 149 degrees

Step 3:

all those annoying angles we just got through, guess what, all you have to do is apply those same angles with m1-m4

M-1: 31 degrees

M-2: 149 degrees

M-3: 31 degrees

M-4: 149 degrees

Answer: it D :)

Step-by-step explanation:

The required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

Given the diagram of the hanger which one side has 10 + 5x  and other side has 11.

To find the equation, equate the expression of one side to the numerical value of the other side. On solving the equation gives the value of x.

Thus, the equation is 10 + 5x = 11.

Consider the equation 10 + 5x = 11

On subtracting 10 from each side gives,

5x = 1

Divide each side by 5 gives,

x = 1/5.

Hence,  the required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

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Answer:

Ans. Given, A1 = $2000 profit = A1 + (n-1)d d = $400 = -2000+(12-1)400 n = 12 = $2400

The required profit in the twelfth month is $2400.

Arithmetic progression is the series of numbers that have common differences between adjacent values

To solve this problem, we need to use the arithmetic sequence formula to find the profit of each month, then add up the profits for the first 12 months to find the profit in the twelfth month.

The first term (a₁) is -2000, the common difference (d) is 400, and we need to find the twelfth term (a₁₂).

We use the formula for the nth term of an arithmetic sequence:

an = a₁ + (n - 1)d

So, substituting the given values, we get:

a₁₂ = -2000 + (12 - 1)400

a₁₂ = -2000 + 11*400

a₁₂ = -2000 + 4400

a₁₂ = 2400

Therefore, the profit in the twelfth month is $2400.

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Answer:

\(y=5x^2-80x+324\)

Step-by-step explanation:

Answer:

$20.44

Step-by-step explanation:

The average of a set of numbers is defined as:

\(\dfrac{\textrm{sum of values}}{\textrm{number of values}}\)

In this problem, we are shown a table where each row has a coupon value in the left column and the number of that coupon value in the right column (e.g., if we look at the top row, we can see there are 70 coupons each valued at $10).

So, the sum of values in this problem (i.e., the total number of dollars given out by the store in the form of coupons) is defined as the sum of the product of each row.

\(\textrm{sum of values} = (\$10 \times 70) + (\$20 \times 40) + (\$40 \times 20) + (\$60 \times 4) + (\$120 \times 2)\)

\(\textrm{sum of values} = \$700 + \$800 + \$800 + \$240 + \$240\)

\(\textrm{sum of values} = \$2780\)

The number of values in this problem is just the sum of the numbers in the right column (i.e., the number of coupons given out).

\(\textrm{number of values} = 70 + 40 + 20 + 4 + 2\)

\(\textrm{number of values} = 136\)

Finally, to answer the problem, we can plug the two numbers that we just solved for into the formula for the average of a set.

\(\textrm{average savings} = \dfrac{\textrm{value of all tickets}}{\textrm{number of tickets}}\)

\(\textrm{average savings} = \dfrac{\$2780}{136}\)

\(\textrm{average savings} \approx \$20.44\)

Answer:

Since AB  = AC  ....the angles opposite these sides are also equal...

So   y   =    [ 180 - 24 ] / 2   =  156 /  2    =   78°

Step-by-step explanation:

Hope that helps, let me know if theres anything wrong with my answer

please click thanks button or something

thanks babe!

Answer:

13

Step-by-step explanation:

Translate the graph \(5\) units right, reflect over the \(x\)-axis, and then perform a vertical stretch with a factor of \(3\).

Step-by-step explanation:

d = dinner price

total bill:       d  +  .05 d   =  $ 315           ( .05 is 5% in decimal)

                      1.05 d = 315

                             d = 315 / 1.05 = $  300

Answer:

its pi equals 21 bruh moment squared.

Step-by-step explanation:

Answer:

\(\dfrac{5e^2}{2}\)

Step-by-step explanation:

Differentiation is an algebraic process that finds the slope of a curve. At a point, the slope of a curve is the same as the slope of the tangent line to the curve at that point. Therefore, to find the slope of the line tangent to the given function, differentiate the given function.

Given function:

\(y=x^2\ln(2x)\)

Differentiate the given function using the product rule.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Product Rule for Differentiation}\\\\If $y=uv$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}\)

\(\textsf{Let\;$u=x^2}\)\(\textsf{Let\;$u=x^2$}\implies \dfrac{\text{d}u}{\text{d}x}=2x\)

\(\textsf{Let\;$v=\ln(2x)$}\implies \dfrac{\text{d}v}{\text{d}x}=\dfrac{2}{2x}=\dfrac{1}{x}\)

Input the values into the product rule to differentiate the function:

\(\begin{aligned}\dfrac{\text{d}y}{\text{d}x}&=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}\\\\&=x^2 \cdot \dfrac{1}{x}+\ln(2x) \cdot 2x\\\\&=x+2x\ln(2x)\end{aligned}\)

To find the slope of the tangent line at x = e²/2, substitute x = e²/2 into the differentiated function:

\(\begin{aligned}x=\dfrac{e^2}{2}\implies \dfrac{\text{d}y}{\text{d}x}&=\dfrac{e^2}{2}+2\left(\dfrac{e^2}{2}\right)\ln\left(2 \cdot \dfrac{e^2}{2}\right)\\\\&=\dfrac{e^2}{2}+e^2\ln\left(e^2\right)\\\\&=\dfrac{e^2}{2}+2e^2\\\\&=\dfrac{5e^2}{2}\end{aligned}\)

Therefore, the slope of the line tangent to the graph of y = x²ln(2x) at the point where x = e²/2 is:

\(\boxed{\dfrac{5e^2}{2}}\)

a) The contents of register x31 after the following instruction is executed? addi x31, x5, 32 is 277968880 decimal.

b) The contents of register x28 after the following instruction is executed is 278427652 decimal.

c)The contents of register x29 after the following instruction is executed is 1056 decimal

d) The contents of register x29 after the following instruction is executed is 278427652 decimal

In computer architecture, registers are special storage locations within the CPU that hold data temporarily. These registers can hold values in binary, decimal, or hexadecimal formats. In this scenario, we have two registers x5 and x6, holding hexadecimal values. We will use these values to answer the given questions about register manipulation.

a) To determine the contents of register x31 after the instruction "addi x31, x5, 32", we need to add 32 to the value in x5 and store the result in x31. The value in x5 is 01a74cd0hex, which is equivalent to 277968848 in decimal. Adding 32 to this value, we get 277968880 decimal. Therefore, the contents of register x31 after the instruction is executed would be 277968880 decimal.

b) To determine the contents of register x28 after the instruction "add x28, x5, x6", we need to add the values in x5 and x6 and store the result in x28. The value in x5 is 01a74cd0hex, which is equivalent to 277968848 decimal. The value in x6 is 00467b44hex, which is equivalent to 458804 decimal. Adding these two values, we get 278427652 decimal. Therefore, the contents of register x28 after the instruction is executed would be 278427652 decimal.

c) To determine the contents of register x29 after the instruction "ld x29, 1056decimal (x30)", we need to load the value at memory location 1056decimal + the value in register x30 into register x29. The value in register x30 is not given in this scenario, so we cannot determine the contents of register x29.

d) To determine the contents of register x29 after the instruction "sd x28, 16 decimal (x29)", we need to store the value in register x28 at memory location 16 decimal + the value in register x29. The contents of register x28 is 278427652 decimal

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Answer:

The equation that can be used to solve for m∠1 is:

m∠1 = One-half(a – b)

This is because angle 1 intercepts arc a, which has a measure of a. By the same token, angle 2 intercepts arc b, which has a measure of b. The sum of the measures of angles 1 and 2 is equal to the measure of the angle formed by the two intersecting chords, which is one-half the sum of the measures of arcs a and b. Therefore, we have:

m∠1 + m∠2 = One-half(a + b)

Since m∠2 is not given, we cannot solve for m∠1 using this equation. However, we can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to get:

m∠1 + m∠2 + m∠3 = 180

where m∠3 is the measure of the angle formed by the two chords outside the circle. Since this angle is supplementary to angle 1, we have:

m∠1 + m∠3 = 180

Substituting the equation for the sum of the measures of angles 1 and 2, we get:

m∠1 + One-half(a + b) = 180

Solving for m∠1, we get:

m∠1 = 180 - One-half(a + b) = One-half(360 - a - b) = One-half(a - b)

Pamela would have to run approximately 4.29 hours to catch up with Tony.

To determine how long Pamela would have to run to catch up with Tony, we need to find the time it takes for Pamela to cover the distance Tony covered during the 15 hours he had already been traveling.

Since Tony traveled at a constant speed of 2 mph for 15 hours, the distance he covered is given by:

Distance = Speed * Time

Distance = 2 mph * 15 hours

Distance = 30 miles

Now, Pamela wants to catch up with Tony, so she needs to cover the same distance of 30 miles. Pamela runs at a speed of 7 mph.

To find the time it takes for Pamela to cover the distance of 30 miles, we can use the formula:

Time = Distance / Speed

Time = 30 miles / 7 mph

Using division, we find:

Time ≈ 4.29 hours

Therefore, Pamela would have to run approximately 4.29 hours to catch up with Tony.

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Answer:

Step-by-step explanation:

If the large Jar is $4.10 for 540g

and  small jar  $2.81 for 360 g

You need to show how much it cost for 1 g,so you can compare how much it cost per gram. You would divide the total cost by the grams to see how much it is for 1 g.

Large jar.   $4.10/540 = $.0076  for 1 gram

Small Jar.   $2.81/360 =$.0078 for 1 gram

Because the large jar is cheaper to buy per gram, the large jar is the best value for the money.

Answer: 0.3464 (correct upto 4 decimal places )

Step-by-step explanation:

\(\sqrt{3/25}\)= \(\sqrt{3} /\sqrt{25\\}\)     (as the square root of 25 is 5)

=1.73205/5

=0.3464