Let a(x) be the amount of money remaining on Hillary's gift card after purchasing x apps on her phone.



Since a(12) = (38, 15,35, 65) Hillary will have
(35,15,38,12) dollars remaining on her card after purchasing
(12,15,35,38) apps.

The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

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Answer:x=-2

Step-by-step explanation:

Distribute 5 and 7 so you’ll get

30x+20+7x+42, then combine like terms

37x+62, then subtract 62 on both sides

-74=37x, then divide both sides by 37

-2=x

Answer:

he answer is 140 minutes to plant 14 saplings.

Step-by-step explanation:

30 divided by 3=10

so it takes 10 minutes to plant one sapling.

10x14=140 so this is how you get your answer. im 99% sure

Answer:

100.8÷3.6=28

he grew the plant for 28 days

Answer:

-10

Step-by-step explanation:

First, evaluate the terms with exponents.

7-3²·9+4³

With that, you get:

7-9·9+64

Multiply -9×9

7-81+64

Then, add or substract from left to right.

Your final answer is -10.

\(\textsf{Hey there!}\)

\(\mathsf{Equation: 6 \times 7- 3^2 \times9+4^3}\)

\(\mathsf{3^2 = 3\times3=9}\)

\(\mathsf{4^3= 4\times4\times4=16\times4 = 64}\)

\(\mathsf{6\times7 = 42}\)

\(\mathsf{9\times9= 81}\)

\(\mathsf{New\ equation: 42 - 81 + 64}\)

\(\mathsf{42 -81= -39}\)

\(\textsf{New equation: -39 + 64}\)

\(\mathsf{SOLVE\ ABOVE\ \uparrow\ \& you\ will\ have\ your\ answer\ to\ this\ problem}\)

\(\mathsf{-39 + 64 = 25}\)

\(\boxed{\textsf{Thus, your answer is: \boxed{\mathsf{\bf{25}}}}}\checkmark\)

\(\textsf{Good luck on your assignment and enjoy day!}\)

~\(\frak{LoveYourselfFirst:)}\)

Answer:

28.26 cm^2

Step-by-step explanation:

Mathematically, we have the area of a sector as;

theta/360 * pi * r^2

theta is the angle subtended at the center of the circle by the sector which is 90 degrees

r is the radius of the circle given as 6 cm

Substituting these values;

90/360 * 3.14 * 6^2 = 28.26 cm^2

To solve the equation 5x^2 - x - 5 = 0, you can use the quadratic formula.

First, rearrange the equation to have 0 on the right side:

5x^2 - x - 5 = 0

Next, use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a

where a = 5, b = -1, and c = -5.

Plug in the values:

x = (-(-1) ± √((-1)^2 - 4 * 5 * -5)) / 2 * 5

x = (1 ± √(1 + 100)) / 10

x = (1 ± √101) / 10

So the two solutions are:

x = (1 + √101) / 10

x = (1 - √101) / 10

--The question is incomplete, answering to the question below--

"How to solve 5x^2-x = 5?"

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Take into consideration the solid that results from rotating the area enclosed by the provided curves about the x-axis. y = 2/7 x^2, y = 9/7 - x^2 . the volume of the solid is approximately 1.412 cubic units.

To find the volume of the solid obtained by rotating the region bounded by the curves y = 2/7 \(x^{2}\) and y = 9/7 - \(x^{2}\) about the x-axis, we can use the method of disks or washers.

First, we need to find the limits of integration. The curves intersect when:

2/7\(x^{2}\) = 9/7 - \(x^{2}\)

Multiplying both sides by 7, we get:

2\(x^{2}\) = 9 - 7\(x^{2}\)

9\(x^{2}\) = 9

\(x^{2}\) = 1

x = ±1

Therefore, the limits of integration are x = -1 and x = 1.

Next, we need to express the curves in terms of y. Solving for x in each equation, we get:

x = ±√(7/2 y)

x = ±√(9/7 - y)

Using the method of disks, we can find the volume of the solid by integrating the areas of circular disks with radius y from y = 0 to y = 9/7.

The radius of each disk is given by the difference between the upper and lower curves evaluated at y:

r = √(9/7 - y) - √(7/2 y)

The area of each disk is given by:

A = π\(r^{2}\)

Substituting for r, we get:

A = π [√(9/7 - y) - √(7/2 y)]

Expanding and simplifying, we get:

A = π [9/7 - y + 7/2 y - 2√(9/7 y)]

A = π [9/7 + 3/2 y - 2√(9/7 y)]

Integrating with respect to y, we get:

V = ∫[0, 9/7] π [9/7 + 3/2 y - 2√(9/7 y)] dy

V = π [(9/7) y + (3/4) - (4/9) \(9/7^{3/2}\) \(y^{3/2}\)] [0, 9/7]

V = π [81/28 - (64/81)  \(9/7^{3/2}\)]

V ≈ 1.412

Therefore, the volume of the solid is approximately 1.412 cubic units.

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Step-by-step explanation:

Here f(x) = x² - 2x instead of f(x) = x². (typing error)

When (f + g)(x) = 0,

f(x) + g(x) = x² + 4x + 4 = 0.

Therefore (x + 2)² = 0, we have

x = -2.

Answer:

x = 2

Step-by-step explanation:

Step 1:

Simplify both sides of the equation.

Step 2:

Subtract 3x from both sides.

Step 3:

Add 2 to both sides.

Step 4:

Divide both sides by 5.

Hope this works, let me know if you didn't understand it

Answer:

the y is y=mx+b

Step-by-step explanation:

if this helps say also have a brillint day

Answer:

60 mph

Step-by-step explanation:

A train left New York at 10:00 am

The train arrived at Washington at 1:45pm

The distance between the two cities is 225 miles

The average rate of speed can be calculated as follows

Distance= 225 miles

Time= 3 hours 45 minutes

= 3.75hrs

= distance/time

= 225/3.75

= 60 mph

Hence the average rate of speed of the train is 60 mph

The system Ax = b has 2 free variables.

Given that A is a 5x7 matrix, and the transformation x → Ax is onto, we can determine the number of free variables in the system Ax = b.
Identify the dimensions of the matrix A:

A is a 5x7 matrix, which means it has 5 rows and 7 columns.
Determine the transformation type:

Since the transformation x → Ax is onto, it implies that every element in the codomain \((R^5)\) has a corresponding element in the domain\((R^7)\).

In other words, the system Ax = b has a solution for every b in \(R^5.\)
Determine the rank of matrix A:

Since the transformation is onto, the rank of A must be equal to the number of rows in the codomain, which is 5.
Calculate the number of free variables:

The number of free variables is the difference between the total number of columns in A and the rank of A.

In this case, it's 7 columns minus 5 (the rank of A).
Number of free variables = 7 - 5 = 2.

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The third word in the series is an a x r², and this is the answer to the given question based on the sequence.

A progression in mathematics is a particular form of sequence where the distance between succeeding terms is constant. A collection of numbers or other mathematical elements arranged in a specific order is called a sequence.

Arithmetic progressions, geometric progressions, and harmonic progressions are only a few of the several forms of progressions. The formula for the nth term of the sequence varies depending on the type of progression.

By dividing the first term by the common ratio r, one may get the second term in the sequence:

Second term = a x r

The second term can also be multiplied by the common ratio r to find the third term:

Third term = (a x r) x r = a x r²

As a result, an a x r² is the third term in the series.

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If Lionel has just received his monthly credit card statement. He placed 9 charges on his card in the last month with a mean of $29.02 per charge. The amount of the 9th charge is$10.97.

To determine the amount of the 9th charge, we can use the formula for the mean (average) of a set of numbers:

Mean = (Sum of all numbers) / (Number of numbers)

We know that the mean of the 9 charges is $29.02, and we know the sum of 8 of the charges, so we can use these values to find the 9th charge.

First, we need to find the sum of the 8 charges:

Sum of 8 charges = $29.88 + $35.21 + $32.93 + $28.18 + $34.08 + $26.89 + $26.76 + $36.28

= $250.21

Next, we can use the formula for the mean to find the sum of all 9 charges:

Mean = (Sum of all 9 charges) / 9

$29.02 = (Sum of all 9 charges) / 9

Multiplying both sides by 9, we get:

Sum of all 9 charges = (9× $29.02)

Sum of all 9 charges = $261.18

Finally, we can find the amount of the 9th charge by subtracting the sum of the 8 charges from the sum of all 9 charges:

Amount of 9th charge = Sum of all 9 charges - Sum of 8 charges

= $261.18 - $250.21

= $10.97

Therefore, the amount of the 9th charge is $10.97.

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The Average Rate of change of a function f on the interval [a , b] is given by

\(r=\frac{f(b) - f(a)}{b-a}\)

Now, the given interval is [1, 5]

⇒ b=5 and a = 1

Since, the graph passes through (1, 3) and (5, 5)

⇒ f(1) = 3 and f(5) = 5

Thus,

\(r=\frac{f(5) - f(1)}{5-1}\)

\(r=\frac{5- 3}{4}\)

\(r=\frac{2}{4}\)

\(r=\frac{1}{2}\)

\(r=0.5\)

∴ The Average Rate of change of the graph is equal to 0.5

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Answer:

here you can see that this angles formed is alternate interior angles because you can see SZ shape the angle formation in here angle relation is 100% sure it is alternate interior angles don't confuse with alternate exterior it is alternate interior angles

Answer:

option B

\(aleternate \: exterior\)

Step-by-step explanation:

\(hope \: it \: helps \: you\)

Answer:

Step-by-step explanation:

f(-1)=1-(-1)^2+(-1)^3

f(-1)=1-(1)+(-1)

f(-1)=1-1-1

f(-1)=-1

The transformation that would linearize the data for volume and time is ln(Seconds), ln(cm3).

The correct option is (D)

To determine which transformation will linearize the data, we can look at the form of the relationship between volume and time in the scatterplot. Since the pattern is curved, it suggests that the relationship may be exponential. Therefore, we can try taking the logarithm of the volume or the time or both and see which transformation produces a linear relationship.

A) Seconds, cm3: This transformation does not involve taking the logarithm of either variable, so it is unlikely to linearize the relationship.

B) ln(Seconds), cm3: This transformation takes the natural logarithm of the time variable. It may help to linearize the relationship if the relationship is exponential with respect to time.

C) Seconds, ln(cm3): This transformation takes the natural logarithm of the volume variable. It is unlikely to linearize the relationship because it does not address the potential exponential relationship with respect to time.

D) ln(Seconds), ln(cm3): This transformation takes the natural logarithm of both variables. It is a good choice because it can linearize an exponential relationship between the two variables.

Therefore, the transformation that would linearize the data for volume and time is D) ln(Seconds), ln(cm3).

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Answer:

29 adults went to the zoo

158 children went to the zoo

Explanation:

Let x represent the number of adults that went to the zoo

Let y represent the number of children that went to the zoo

From the question, we can go ahead and set up the below system of equations;

We'll go ahead and solve the above system of equations simultaneously following the below steps;

Step 1: Express y in terms of x in Equation 1;

Step 2: Substitute y in Equation 2 with (187 - x) and solve for x;

So 29 adults went to the zoo

Step 3: Substitute x in Equation 3 with 29 and solve for y;

So 158 children went to the zoo

Using inverse function concepts, it is found that the domains that make the function invertible are: \(t \in [0, 2.5]\) of \(t \in [2.5, 5]\).

-----------------------------------

-----------------------------------

Thus, the domains that make the function invertible are: \(t \in [0, 2.5]\) of \(t \in [2.5, 5]\).

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The probability that a daughter of an unaffected father and a mother who carries the dmd allele will develop the disease is 50 percent.

One from each parent, a girl receives the two X chromosomes. The daughters therefore have a 50% chance of acquiring the mutation and developing into carriers. Sons without DMD won't be carriers, but daughters without the condition will.

Carriers will always run the risk of giving birth to a child who carries the mutation or the disease, even if they don't show any symptoms of it themselves.

What is DMD?

Duchenne muscular dystrophy (DMD) is a genetic disorder characterized by progressive muscle degeneration and weakness caused by changes in a protein called dystrophin, which aids in the maintenance of muscle cells. DMD is one of four types of dystrophinopathies.

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The circumstance that the score is located 5 points above the mean a central value, relatively close to the mean is when the population standard deviation is much greater than 5.

Standard Deviation is a measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists. The standard deviation indicates a “typical” deviation from the mean. It is a popular measure of variability because it returns to the original units of measure of the data set.

Here, we have

We have to find under what circumstances is a score that is 5 points above the mean considered a central value--meaning it is relatively close to the mean.

We concluded from the above statement that when the population standard deviation is much greater than 5.

Hence, when the population standard deviation is much greater than 5 then, the score that is 5 points above the mean is considered a central value.

Therefore, the correct option is D.

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6. C. Given

7. C. L is the midpoint of EM

8. .D . Definition of midpoint

9. B . < FLE= <ALM

10. C .ASA Postulate

The expected value or the mean of X is 10 and the variance of X is 100/3 sec²

We are given that X is uniformly distributed between 0 and 20 seconds after pressing the elevator button. This means the probability density function (PDF) of X is:

f(x) = 1/20, 0 ≤ x ≤ 20

f(x) = 0, otherwise

a. To find the probability that the elevator takes less than 10 seconds to arrive, we need to integrate the PDF from 0 to 10:

P(X < 10) = ∫[0,10] f(x) dx = ∫[0,10] 1/20 dx = (1/20) * [x]₀¹⁰= 1/2

Therefore, the probability that the elevator takes less than 10 seconds to arrive is 1/2.

b. To find the probability that the elevator takes more than 18 seconds to arrive, we need to integrate the PDF from 18 to 20:

P(X > 18) = ∫[18,20] f(x) dx = ∫[18,20] 1/20 dx = (1/20) * [x]₁₈²⁰ = 1/10

Therefore, the probability that the elevator takes more than 18 seconds to arrive is 1/10.

c. To find the probability that the elevator takes between 10 and 15 seconds to arrive, we need to integrate the PDF from 10 to 15:

P(10 < X < 15) = ∫[10,15] f(x) dx = ∫[10,15] 1/20 dx = (1/20) * [x]₁₀¹⁵ = 1/4

Therefore, the probability that the elevator takes between 10 and 15 seconds to arrive is 1/4.

d. The expected value or the mean of X is:

E(X) = ∫[0,20] x * f(x) dx = ∫[0,20] x * 1/20 dx = (1/40) * [x²]₀²⁰ = 10

Therefore, the expected amount of time it will take the elevator to arrive is 10 seconds.

e. The variance of X is:

Var(X) = E(X^2) - [E(X)]²

We have already found E(X) to be 10. To find E(X²), we integrate x² * f(x) from 0 to 20:

E(X²) = ∫[0,20] x² * f(x) dx = ∫[0,20] x²* 1/20 dx = (1/60) * [x³]₀²⁰ = 200/3

Therefore, the variance of X is:

Var(X) = E(X²) - [E(X)]²= 200/3 - 10² = 200/3 - 100 = 100/3 seconds²

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Step-by-step explanation:

So for starters there are 100 centimeters in one meter.

therefore, you would multiply  whatever number of meters by 100-

in this case there would be 300 centimeters.

Hope this helped. Have an amazing day

- Birdy

Answer:

x = 1.4

Step-by-step explanation:

Visualize the figure as a rectangle with width 4 and height 1 combined with a triangle with base 1 and height 1.

Next, use the Pythagorean Theorem, a^2 + b^2 = c^2. Variables a and b represent the lengths of the legs, in this case 1 and 1, and variable c represents the length of the hypotenuse, in this case x.

1^2 + 1^2 = x^2

2 = x^2

x = 1.41421356237

Step-by-step explanation:

imagine that this shape is the combination of 2 shapes :

1. a rectangle 4×1

it goes from the top down the side of 4 until the tilted line x begins.

2. a right-angled triangle

x being the Hypotenuse (the baseline opposite of the 90° angle). and the legs are the invisible line of 1 (going from the top right of x in parallel to the 1 line all the way to the 5 line) and the part of the 5 line below the 4 line : 5-4 = 1.

so, x can be solved by using Pythagoras

c² = a² + b²

c being the Hypotenuse, a and b are the legs.

x² = 1² + 1² = 2

x = sqrt(2) = 1.414213562... ≈ 1.4

Answer:

\(d = \sqrt{5}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Step-by-step explanation:

Step 1: Define

Point A (2, 4)

Point B (3, 6)

Step 2: Find distance d

Answer:

450 cm ^3

Step-by-step explanation: