Frank just bought a refrigerator for 1036. He paid 103.60 in a down payment and will pay the rest in 4 equal installments. How much does he need to pay for each installment?

Answer:

9.6km

Step-by-step explanation:

3200/(1/3)=

3200*3/1=9600 m=9.6km

Answer: Figure B is 2x bigger on all sides

Explanation: You can see that each of the numbers times 2 would equal all of the numbers on B.

The integral of (42³ - 2r + 7) dz is equal to (42³ - 2r + 7)z + C.

To integrate the function (42³ - 2r + 7) dz, we treat r as a constant and integrate with respect to z. The integral of a constant with respect to z is simply the constant multiplied by z:

∫ (42³ - 2r + 7) dz = (42³ - 2r + 7)z + C

where C is the constant of integration.

Note: The integral of a constant term (such as 7) with respect to any variable is simply the constant multiplied by the variable. In this case, the variable is z.

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The image of the coordinates after a dilation of (9, −7) by a scale factor of 4 centered at the origin include the following: (36, -28).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage (9, -7) by using a scale factor of 4 centered at the origin as follows:

Coordinate A (9, -7) → Coordinate A' (9 × 4, -7 × 4) = Coordinate A' (36, -28).

In conclusion, the coordinates of the image after a dilation are  (36, -28).

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Answer:

-11, -2, 3, 6

-16, -5, 21, 29

Step-by-step explanation:

Answer:

You are almost correct

2. -11, -2, 3, 6

3. -16, -5, 19, 21

Step-by-step explanation:

This is the answer because:

1) Whenever we are comparing integers, the larger the negative number, the smaller value they have, and for positive numbers the larger the number, the more value they have

2) Therefore, the answers would be

2. -11, -2, 2, 6

3. -16, -5, 19, 21

Hope this helps! :D

Answer:

The answer would be plot D.

Step-by-step explanation:

Answer:

The correct equation is: 6x+12 = 30.75

And 3 people went to the movies

Step-by-step explanation:

We will write the equation to represent this scenario.

Let x be the number of people who went for movies.

Then the price of ticket for x people will be: 6.25x

They spent $12 on refreshments and a total of $30.75 so the equation will be:

\(6.25x+12=30.75\)

solving the equation will give us total number of people

So,

\(6.25x+12 = 30.75\\6.25x = 30.75-12\\6.25x = 18.75\\\frac{6.25x}{6.25} =\frac{18.75}{6.25}\\x = 3\)

Hence,

The correct equation is: 6x+12 = 30.75

And 3 people went to the movies

• Integer values: ,numbers including 0, and negative and positive numbers; it can never be a fraction, a decimal, or a percent.

Based on the definition, the integer values included in the interval [-5, 0] are: -5, -4, -3, -2, -1, and 0.

To evaluate if the integer satisfies the inequality, we have to evaluate each integer.

• -5

As -13 is smaller than -9, then -5 does not satisfy the inequality.

• -4

As -9 is equal to -9, then -4 does not satisfy the inequality (as in the sign of the inequality it is not included -9).

• -3

As -5 is bigger than -9, -3 satisfies the inequality.

• -2

As -1 is bigger than -9, -2 satisfies the inequality.

• -1

As 3 is bigger than -9, -1 satisfies the inequality.

• 0

As 7 is bigger than -9, 0 satisfies the inequality.

Also we can try by solving the inequality:

Meaning that all the values that are greater than -4 but not -4.

Answer:

• [-3, 0]

• x = -3, -2, -1, 0

• x > -4

The probability that a randomly selected carton has a weight greater than 12.31 ounces is approximately 0.2676.

To calculate the probability that a randomly selected carton has a weight greater than 12.31 ounces, we can use the z-score and the standard normal distribution.

(a) Probability for a single carton:

Step 1: Calculate the z-score using the formula: z = (x - μ) / σ

Where:

x = 12.31 (the given weight)

μ = 12 (mean weight)

σ = 0.5 (standard deviation)

z = (12.31 - 12) / 0.5 = 0.62

Step 2: Find the probability associated with the z-score using a standard normal distribution table or a calculator. The probability of a weight greater than 12.31 ounces is equivalent to finding the area to the right of the z-score of 0.62.

Using a standard normal distribution table or calculator, the probability is approximately 0.2676.

Therefore, the probability that a randomly selected carton has a weight greater than 12.31 ounces is approximately 0.2676.

Note: Make sure to round the result to four decimal places as requested.

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To solve the given system of differential equations, we can use the substitution method to obtain first-order linear differential equations and solve them for x and y. Alternatively, we can apply the operator method to rewrite the system as a second-order linear differential equation.

1. To solve the given system of differential equations using three different methods - substitution method, operator method, and eigen-analysis method - we start by representing the system in matrix form:

2. Let X = [x y]' and X' = [x' y']'. The given system can be written as:

X' = A * X + B, where A is the coefficient matrix and B is the vector of constants.

Substitution Method:

In this method, we substitute the expressions for x' and y' from the given system into the equations and solve for x and y. By substituting the given expressions, we obtain two first-order linear differential equations. We can then solve these equations using standard methods such as separation of variables or integrating factors to find the solutions for x and y.

Operator Method:

The operator method involves defining operators D = d/dt and E = d/de, where t is the independent variable and e is the exponential function. We can rewrite the given system as a single second-order linear differential equation in terms of these operators. By manipulating the equations using operator algebra, we can find the characteristic equation and the solutions for x and y.

Eigen-analysis Method:

The eigen-analysis method involves finding the eigenvalues and eigenvectors of the coefficient matrix A. By calculating the eigenvalues, we can determine the type of critical points in the system. The eigenvectors corresponding to the eigenvalues provide the basis for the solutions. Using the eigenvalues and eigenvectors, we can construct the general solution for the system. Lastly, the eigen-analysis method helps us determine the critical points and construct the general solution using eigenvalues and eigenvectors.

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The recursive sequence that produces the sequence 4, -6, 4 is:

a(1) = 4

a(n+1) = -a(n) + 8, for n ≥ 1

In mathematics, a recursive sequence or function is one where each term or value is defined in terms of the previous one or ones. The term "recursive" comes from the word "recursion," which means to repeat or iterate.

A recursive sequence is often defined by a recursive formula or rule, which gives a formula for each term in terms of the previous ones. For example, the Fibonacci sequence is a b sequence where each term is the sum of the two previous terms.

To generate the sequence 4, -6, 4 using a recursive formula, we need to determine the pattern or rule that relates each term to the previous ones. We can see that the first and third terms are the same, and the second term is negative.

One possible recursive formula that generates this sequence is:

a(1) = 4

a(n+1) = -a(n) + 8, for n ≥ 1

Using this formula, we can find each term of the sequence by applying the rule to the previous term:

a(2) = -a(1) + 8 = -4 + 8 = 4

a(3) = -a(2) + 8 = -4 + 8 = 4

Therefore, the recursive sequence that produces the sequence 4, -6, 4 is:

a(1) = 4

a(n+1) = -a(n) + 8, for n ≥ 1

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Answer:

O 7x2 + 3y2 - 4x

.........

\(\qquad \qquad\huge \underline{\boxed{\sf ᴀɴsweʀ}}\)

The Correct choice is ~ A

\(\qquad \sf  \dashrightarrow \: 7 {x}^{2} + 3 {y}^{2} - 4x\)

\(\large \boxed{ \mathrm{Step\:\: By\:\:Step\:\:Explanation}}\)

\(\sf  \dashrightarrow \:(12 {x}^{2} - 11y { }^{2} - 13x) - (5 {x}^{2} - 14y { }^{2} - 9x)\)

\(\sf  \dashrightarrow \:12 {x}^{2} - 11y { }^{2} - 13x- 5 {x}^{2} + 14y { }^{2} + 9x\)

\( \sf  \dashrightarrow \: 12 {x}^{2} - 5 {x}^{2} - 11y { }^{2} + 14 {y}^{2} - 13x + 9 \)

\(\sf  \dashrightarrow \: 7 {x}^{2} + 3 {y}^{2} - 4x\)

Assuming that the events of each executive receiving a pay raise are independent, we can use the multiplication rule for independent events to find the probability that all four received a raise.

Let's denote the event that an executive receives a raise by "R". Then, the probability that an executive receives a raise is P(R) = 0.78, and the probability that an executive does not receive a raise is P(not R) = 1 - P(R) = 0.22.

The probability that all four executives receive a raise is:

P(R and R and R and R) = P(R) x P(R) x P(R) x P(R)

= 0.78 x 0.78 x 0.78 x 0.78

= 0.37 or 0.0037 (rounded to 4 decimal places)

Therefore, the probability that all four executives received a raise when they asked for one is approximately 0.0037 or 0.37%.

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Answer:

7.65x10^-2  should be your answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a) and (b) see diagram

(c) you can see from the graph, the purple line hits the parabola twice which is y=6   or k=6

(d)  Solving simultaneously can mean to set equal

6x - x² = k                        >subtract k from both sides

6x - x² - k = 0                  >put in standard form

- x² + 6x - k = 0               >divide both sides by a -1

x² - 6x + k = 0

(e) The new equation is the same as the original equation just flipped (see image)

(f)  The discriminant is the part of the quadratic equation that is under the root. (not sure if they wanted the discriminant of new equation or orginal.  I chose new)

discriminant formula = b² - 4ac

equation:   x² - 6x + 6 = 0            a = 1      b=-6    c = 6

discriminant = b² - 4ac

discriminant= (-6)² - 4(1)(6)

discriminant = 36-24

discriminant = 12

Because the discriminant is positive, if you put it back in to the quadratic equation, you will get 2 real solutions.

Answer:

-2

Step-by-step explanation:

Answer:

X = 2

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Therefore, the equation x^3 - 15x + c = 0 has at most one root in the interval (-2, 2).

To show that the equation x^3 - 15x + c = 0 has at most one root in the interval (-2, 2), we can use the concept of the Intermediate Value Theorem and Rolle's Theorem.

Let's assume that the equation has two distinct roots, denoted as a and b, in the interval (-2, 2). Without loss of generality, we assume a < b.

Since the function is continuous on the closed interval [-2, 2] and differentiable on the open interval (-2, 2), we can apply Rolle's Theorem. According to Rolle's Theorem, there exists a point c in the open interval (a, b) such that the derivative of the function at c is zero.

Consider the derivative of the function f(x) = x^3 - 15x + c:

f'(x) = 3x^2 - 15

Setting f'(c) = 0, we have:

3c^2 - 15 = 0

c^2 - 5 = 0

c^2 = 5

Taking the square root of both sides, we get:

c = ±√5

Now, let's consider the function values at the endpoints of the interval (-2, 2):

f(-2) = (-2)^3 - 15(-2) + c = -8 + 30 + c = 22 + c

f(2) = (2)^3 - 15(2) + c = 8 - 30 + c = -22 + c

If c = √5, then f(-2) = 22 + √5 and f(2) = -22 + √5.

If c = -√5, then f(-2) = 22 - √5 and f(2) = -22 - √5.

In either case, the function values at the endpoints have different signs. This implies that there exists at least one value, say k, in the interval (-2, 2) such that f(k) = 0, according to the Intermediate Value Theorem.

However, we assumed at the beginning that there are two distinct roots in the interval (-2, 2), denoted as a and b. This contradicts our finding that there is at most one root in the interval. Hence, our assumption of having two distinct roots is false.

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As per the given height of the wall, the approximate weight is 149kN

The term Hydrostatic refers to the force exerted by static water on the plate or object and its magnitude depends upon the positioning of the object inside the water.

Here we have given the following values,

Height = 2.76 upright

Width = 10 m

Here we have to consider the hydrostatic force acting on the wall about the pinned point say P then the expression is looks like,

=> F = ωAx

=> F =  9810(10 × 4) × 2

=> F = 784800 N = 785KN

Now, the weight is calculated as per the Hydrostatic method as,

=> W = (1.33/7) x 785

=> W = 149 kN

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Answer: 26

Step-by-step explanation: Since you are given the measures of two legs which are 24 (XY) and 10 (XS), you just need to use the formula a^2+b^2=c^2 to find the hypotenuse which is RY.

10^2 + 24^2 = c^2

100 + 576 = c^2

676 = c^2

26 = c

RY = 26

Answer:

x=7

Step-by-step explanation:

t(x) = 7x, t(x) = 49

Due to the transitive property, you can say that

7x=49

divide both sides by 7

x=7

Hope it helped!

Answer:

Step-by-step explanation:

7

49/7=7

The correct answer is option b. 15.77%. The annual discount rate, also known as the discount rate or the rate of return, can be calculated using the present value formula.

Given that a cash flow of £52 million in 5 years' time is currently valued at £25 million, we can use this information to solve for the discount rate.

The present value formula is given by PV = CF / (1 + r)^n, where PV is the present value, CF is the cash flow, r is the discount rate, and n is the number of years.

In this case, we have PV = £25 million, CF = £52 million, and n = 5. Substituting these values into the formula, we can solve for r:

£25 million = £52 million / (1 + r)^5.

Dividing both sides by £52 million and taking the fifth root, we have:

(1 + r)^5 = 25/52.

Taking the fifth root of both sides, we get:

1 + r = (25/52)^(1/5).

Subtracting 1 from both sides, we obtain:

r = (25/52)^(1/5) - 1.

Calculating this value, we find that r is approximately 0.1577, or 15.77%. Therefore, the annual discount rate is approximately 15.77%, corresponding to option b.

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In one sweep, the area covered by the sprinkler is 77.19 sq ft (approx). The area of the lawn, to the nearest square foot, that receives water from this sprinkler is 616 sq ft (approx).

We know that a rotating sprinkler can reach up to 14 feet through a 300-degree angle. Area covered by the sprinkler in one sweep = area of the sector whose radius = 14 feet and angle = 300°Area of sector = (θ / 360) × πr²Where θ = 300°, r = 14 ftArea of sector = (300/360)× π(14)²= 77.19 sq ft (approx) Therefore, the area covered by the sprinkler in one sweep is 77.19 sq ft (approx).

We need to find the total area of the lawn that receives water from this sprinkler. The sprinkler rotates 360 degrees, so it will cover a full circle whose radius is 14 feet. Area of a circle = πr²= π(14)²= 615.752 sq ft (approx) Therefore, the area of the lawn, to the nearest square foot, that receives water from this sprinkler is 616 sq ft (approx).

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Answer:

3,6,9,12,etc

Step-by-step explanation:

In math, a multiple is the product of any quantity and an integer. In other words, for the quantities a and b, we say that b is a multiple of a if b = na for some integer n, which is called the multiplier. If a is not zero, this is equivalent to saying that b/a is an integer. 

There were three different treatments: erythropoietin, darbepoetin, and no treatment. This selection exemplifies the principle of randomization principle.

In experiments, the word treatment refers to the use of a specific medicine, therapy, or condition that is controlled by the research to test the effect of the treatment on subjects. For example, if the researcher wants to find out the ideal amount of water for a plant to grow, the treatment would be the amount of water.

In the case presented, there are three treatments:

Randomization is the principle applied because the subjects are selected randomly for each of the groups and this reduces bias.

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Answer:

y-intercept= (0, 0.4)

x-intercept = (0.3, 0)

Step-by-step explanation:

The intercept is where the line crosses the axis, and a coordinate is written out as, (x,y).

With this knowledge in mind, for the y-intercept, the x coordinate would be 0, and the y coordinate would be 0.4, which is where it crosses the y axis. This would make the y-intercept (0, 0.4).

For the x-intercept, the y coordinate would be 0, and the x coordinate would be where the line crosses the axis, making it 0.3. With these numbers and coordinates in mind, the coordinate for where the line intercept the x axis is (0.3, 0).

Answer:

c: 5 x 3/5

Step-by-step explanation:

so the is 15 blocks shaded on the 25 grid

so i would work out each fraction answer and find which one makes 15/25

5 x 5/3 = 25/25

3/5 + 3/5 + 3/5 + 3/5 + 3/5 + 3/5 = 21/5

5 x 3/5 = 15/25

hope this helps :)

if the answer is wrong plz comment and i will fix thanks :)

Answer:

c) 5x3/5

Step-by-step explanation:

Look at one of the bars only. We see that 3 blocks out of 5 are colored in.

So that means the fraction is 3/5. But since there are 5 bars, we must multiply the fraction by 5.

Therefore, the answer is c) 5x3/5

hope this helped:)

P.S. If you like the answer, could you mark as brainliest plz?

Answer:

264

Step-by-step explanation:

because it is mulitplying by 4

Answer:

1,4,16,64,256,1024,4096.......

Step-by-step explanation: Because you have to multiple by 4 for here: 1*4=4, 4*4=16, 16*4=256, 256*4=1024, 1024*4=4096....

Answer:

Step-by-step explanation:

A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height hope this helped somehow ;-; sry if not