4 Use the sequence below to complete each task. -6, 1, 8, 15, ... a. Identify the common difference (a). b. Write an equation to represent the sequence. C. Find the 12th term (a) our Wilson (All Things Algebral. 2011 Enter your answer(s) here

Answers

Answer 1

we have

-6, 1, 8, 15, ...

so

a1=-6

a2=1

a3=8

a4=15

a2-a1=1-(-6)=7

a3-a2=8-1=7

a4-a3=15-8=7

so

the common difference is

d=7

Part 2

write an equation

we have that

The equation of a general aritmetic sequence is equal to

an=a1+(n-1)d

we have

d=7

a1=-6

substitute

an=-6+(n-1)7

an=-6+7n-7

an=7n-13

Part 3

Find 12th term

we have

n=12

a12=-7(12)-13

a12=71


Related Questions

Can anyone help? I’ve asked this same question 6 times!

Answers

Answer: 54080

Since the first number cannot be 0 or 1, there would be only 8 possible numbers for the first number. For the second number, we can now have all 10 numbers.

The number of different combinations of numbers would then be:

[tex]8\times10=80[/tex]

Then, for the first letter, we have 26 possible letters, as well as the second letter. The number of different combinations of letters would then be:

[tex]26\times26=676[/tex]

So, for a license plate that has 2 numbers and 2 letters, where the first number cannot be 0 or 1, there would be:

[tex]8\times10\times26\times26=54080[/tex]

mr dudzic has above ground swimming pool thatbis a circular cylinder. the diameter of the pool is 25 ft. and the height isb4.5 ft. in order to open he needs to shock it with chlorine. if one gallon of liquid chlorin treats 3000 gallons of water, how many full gallons will he need to buy. (1 foot^3=7.48 gallons)

Answers

The volume of the cylinder is

[tex]V=\pi\text{ }\times r^2\times h[/tex]

The diameter of the cylinder is 25 feet, then

The radius of it = 1/2 x diameter

[tex]r=\frac{1}{2}\times25=12.5ft[/tex]

Since the height is 4.5 ft

Substitute them in the rule above

[tex]\begin{gathered} V=3.14\times(12.5)^2\times4.5 \\ V=2207.8125ft^3 \end{gathered}[/tex]

Now we will change the cubic feet to gallons

[tex]\because1ft^3=7.48\text{ gallons}[/tex]

Then multiply the volume by 7.48 to find the number of gallons

[tex]7.48\times2207.8125=16514.4375gallons[/tex]

Now let us divide the number of gallons by 3000 to find how many gallons of liquid chlorin he needs to buy

[tex]\frac{16514.4375}{3000}=5.5048125[/tex]

Then he has to buy 6 full gallons

Solve for k 4k – 6/3k – 9 = 1/3

Answers

hello

to solve this simple equation, we need to follow some simple steps.

[tex]4k-\frac{6}{3}k-9=\frac{1}{3}[/tex]

step 1

multiply through by 3

we are doing this to eliminate the fraction and it'll help us solve this easily

[tex]\begin{gathered} 4k(3)-\frac{6}{3}k(3)-9(3)=\frac{1}{3}(3) \\ 12k-6k-27=1 \end{gathered}[/tex]

notice how the equation haas changed suddenly? well this was done to make the question simpler and faster to solve.

step 2

collect like terms and simplify

[tex]\begin{gathered} 12k-6k-27=1 \\ 12k-6k=1+27 \\ 6k=28 \\ \end{gathered}[/tex]

step three

divide both sides by the coefficient of k which is 6

[tex]\begin{gathered} \frac{6k}{6}=\frac{28}{6} \\ k=\frac{14}{3} \end{gathered}[/tex]

from the calculations above, the value of k is equal to 14/3

4. Which of the following represent the distance
formula? Select all that apply.
A d = √(x₁-x₂)² + (y₁ − y₂)²
B d = √(x₂− ×₂)² + (⁄₂ − y,}²
C d = √(x₂+x₂)² + (y₂ + y,)²
D d=√√₂-X₁1² + VY₂ − Y₁1²

Answers

A appears to be the only correct answer

a^2+b^2=c^2

you are solving for c when finding distance, so (a^2 + b^2) must be square rooted, as a whole, not separately

and a = (x1-x2)

and b = (y1-y2)

you can flip the 1 and 2 but you have to flip for both x and y

like x1-x2 means you have to do y1-y2

like x2-x1 means you have to do y2-y1

so both above are correct as long as the order of 1 and 2 stays the same for both x and y

Create three different proportions that can be used to find BC in the figure above. At least one proportion must include AC as one of the measures.

Answers

We are given two similar triangles which are;

[tex]\begin{gathered} \Delta AEB\text{ and }\Delta ADC \\ \end{gathered}[/tex]

Note that the sides are not equal, but similar in the sense that the ratio of two sides in one triangle is equal to that of the two corresponding sides in the other triangle.

To calculate the length of side BC, we can use any of the following ratios (proportions);

[tex]\frac{AE}{ED}=\frac{AB}{BC}[/tex][tex]\frac{AB}{AC}=\frac{AE}{AD}[/tex][tex]\frac{AE}{AB}=\frac{AD}{AC}[/tex]

Using the first ratio as stated above, we shall have;

[tex]\begin{gathered} \frac{AE}{ED}=\frac{AB}{BC} \\ \frac{8}{5}=\frac{6.5}{BC} \end{gathered}[/tex]

Next we cross multiply and we have;

[tex]\begin{gathered} BC=\frac{6.5\times5}{8} \\ BC=4.0625 \end{gathered}[/tex]

ANSWER:

[tex]BC=4.0625[/tex]

Find the lateral area of the cylinder .The lateral area of the given cylinder is _ M2(Round to the nearest whole number as needed .)

Answers

The lateral area of a cylinder is:

[tex]LA=2\pi rh[/tex]

r is the radius

h is the height

For the given cylinder:

As the diameter is 4m, the radius is half of the diameter:

[tex]r=\frac{4m}{2}=2m[/tex]

h=12m

[tex]\begin{gathered} SA=2\pi(2m)(12m) \\ SA=48\pi m^2 \\ SA\approx151m^2 \end{gathered}[/tex]Then, the lateral area of the given cylinder is 151 square meters

0> -2x^2+4x+4Solve each inequality by graphing. Sketch it.

Answers

To solve the inequality we need to find the x-values that are the roots of the quadratic equation, let's use the quadratic formula:

[tex]\begin{gathered} \text{For an equation in the form:} \\ ax^2+bx+c=0 \\ The\text{ quadratic formula is:} \\ x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \text{Then a=-2, b=4 and c=4} \\ x=\frac{-4\pm\sqrt[]{4^2-4(-2)(4)}}{2(-2)} \\ x=\frac{-4\pm\sqrt[]{16+32}}{-4} \\ x=\frac{-4\pm\sqrt[]{48}}{-4} \\ x=\frac{-4\pm6.93}{-4} \\ \text{Then} \\ x1=\frac{-4+6.93}{-4}=\frac{2.93}{-4}=-0.732 \\ x2=\frac{-4-6.93}{-4}=\frac{-10.93}{-4}=2.732 \end{gathered}[/tex]

Now, let's try values less or greater than these roots:

If x=-1:

[tex]\begin{gathered} 0>-2(-1)^2+4(-1)+4 \\ 0>-2\cdot1-4+4 \\ 0>-2\text{ This is right, then number less than -0.732 are solutions of the inequality} \end{gathered}[/tex]

Now let's try x=3:

[tex]\begin{gathered} 0>-2(3)^2+4(3)+4 \\ 0>-2\cdot9+12+4 \\ 0>-18+16 \\ 0>-2\text{ This is correct two, then the values greater that 2.732 are solutions to the inequality too} \end{gathered}[/tex]

Then, the graph of the inequality is:

The red-shaded area are the solution to the inequality, then in interval notation we have:

[tex](-\infty,-0.732)\cup(2.732,\infty)[/tex]

In builder notation it would be:

[tex]x|x<-0.732orx>2.732[/tex]

Which problems can be solved using the equation 3 X 6 = |? Circle all the correct answers. A Cleo has 3 times as many bananas as Arianna has. Cleo has 6 bananas. A How many bananas does Arianna have? B Dylan has 6 oranges. Jane has 3 times as many oranges as Dylan. В How many oranges does Jane have? C Liam has 3 cherries. Brian has 6 times as many cherries as Liam. How many cherries does Brian have? D Tina has 3 more peaches than Charlie. Charlie has 6 peaches. How many peaches does Tina have? E Jaclyn has 6 times as many grapes as Kaitlyn. Kaitlyn has 3 grapes. How many grapes does Jaclyn have?

Answers

[tex]3\times6=?[/tex]

A. Cleo (C) has 3 times as many bananas as Arianna (A) has. Cleo has 6 bananas. How many bananas does Arianna have? Equation:

[tex]\begin{gathered} 3A=C \\ \\ C=6 \\ \\ 3A=6 \\ \\ ?=\frac{6}{3} \end{gathered}[/tex]

It doesn't correspond to the given equation

_______________

B. Dylan (D) has 6 oranges. Jane (J) has 3 times as many oranges as Dylan. How many oranges does Jane have? Equation:

[tex]\begin{gathered} D=6 \\ J=3D \\ \\ J=3\times D \\ \\ \text{?}=3\times6 \end{gathered}[/tex]

It correspond to the given equation

___________

C. Liam (L) has 3 cherries. Brian (B) has 6 times as many cherries as Liam. How many cherries does Brian have? Equation:

[tex]\begin{gathered} L=3 \\ B=6L \\ \\ \text{?}=6\times3 \end{gathered}[/tex]

It correspond to the given equation

_______________

Tina (T) has 3 more peaches than Charlie (C). Charlie has 6 peaches. How many peaches does Tina have? Equation:

[tex]\begin{gathered} T=3+C \\ C=6 \\ \\ T=3+6 \\ \\ \text{?}=3+6 \end{gathered}[/tex]

It doesn't correspond to the given equation

___________________

E. Jaclyn (J) has 6 times as many grapes as Kaitlyn (K). Kaitlyn has 3 grapes. How many grapes does Jaclyn have?​ Equation:

[tex]\begin{gathered} J=6K \\ K=3 \\ \\ J=6\times3 \\ \\ \text{?}=6\times3 \end{gathered}[/tex]

It correspond to the given equation

____________

Answer: B, C and E

StatusRecovery8Help ResourcessAABC ~ AXYZFind the missing side length, s.B.3 65А&Х-ZCross multiplySE ][?] = [ ]153s

Answers

Since triangles ABC and XYZ are similar, the ratio between their corresponding sides is constant; thus,

[tex]\begin{gathered} \frac{AB}{XY}=\frac{BC}{YZ} \\ \Rightarrow\frac{3}{5}=\frac{6}{s} \end{gathered}[/tex]

Solving for s,

[tex]\begin{gathered} \frac{3}{5}=\frac{6}{s} \\ \Rightarrow\frac{3}{5}\cdot s=\frac{6}{s}\cdot s \\ \Rightarrow\frac{3s}{5}=6 \\ \Rightarrow\frac{3s}{5}\cdot5=6\cdot5 \\ \Rightarrow3s=30 \\ \Rightarrow s=\frac{30}{3} \\ \Rightarrow s=10 \end{gathered}[/tex]

Thus, the result of the cross multiplication is 3s=30 and the answer is s=10

If the expression 1/ square root of x was placed in form x^a, then which of the following would be the value of a?

Answers

4) -1/2

1) Rewriting the expression:

[tex]\frac{1}{\sqrt[]{x}}[/tex]

2) As a power we can write this way, considering that we can rewrite any radical as a power and that when we have a radical on the denominator we can rewrite it as a negative rational exponent. So we can write it out:

[tex]\frac{1}{\sqrt[]{x}}=\frac{1}{x^{\frac{1}{2}}}=x^{-\frac{1}{2}}[/tex]

3) Hence, the answer is 4) -1/2

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment n=10, p=0.2, x=2

Answers

The binomial probability of x successes is 0.302.

How to calculate the probability of x successes?

Since we are dealing with a binomial probability experiment. We are going to use the binomial distribution formula for determining the probability of x successes:

P(x = r) = nCr . p^r . q^n-r

Given: n=10, p=0.2, x=2

The failures can be calculated using q = 1 - p = 1 - 0.2 = 0.8

P(x = 2) =  10C2 x 0.2²  x 0.8¹⁰⁻²

            = 10!/(10-2)! 2!  x 0.2² x 0.8⁸

            = 10!/(8!2!)  x 0.2² x 0.8^8

            = 10x9x8!/(8!2!)  x 0.2² x 0.8⁸

            = 45 x 0.2² x 0.8⁸

           = 0.302

Therefore, the probability of x successes in 10 trials is 0.302

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Calculate Sample Variance for the following data collection: 10, 11, 12, 13, 14,18.

Answers

The Variance of a set of data is defined as the average of the square of the deviation from the mean.

The first step is to calculate the mean of the data.

[tex]\frac{10+11+12+13+14+18}{6}=13[/tex]

Now we take the difference from the mean, square it, and then average the result.

[tex]\frac{(10-13)^2+(11-13^2)+(12-13)^2+(13-13)^2+(14-13)^2+(18-13)^2}{6}[/tex][tex]\Rightarrow\frac{9+4+1+0+1+25}{6}[/tex][tex]\Rightarrow6.67[/tex]

Hence, the variance of the data is 6.7 (rounded to the nearest tenth)

x = 3y for y how should we solve it

Answers

If x=3y is the equation then y = x/3.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given expression x equal to three y.

Here x and y are two variables.

The value of x is three times of y.

The value of y is x over three. If we know the value of x we can substitute in place of x and we can calculate it.

Divide both sides by 3.

y=x/3.

Hence the value of y is x/3.

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Preston drove to his new college and then back home.Round trip he traveled 642 miles. Preston drives aHonda Civic and gets 38 miles for every gallon of gas. IfPreston needs to make 15 round trips a year how muchwill it cost him in gas assuming the price of gas stays at$2.48 a gallon for all his trips?$Round all answers to the nearest hundredthsDo not put a label, just the numeric value

Answers

1) Gathering the data

Preston

642 miles

38 miles/gallon

15 round trips

1 gallon = $2.48

2) Considering that each round trip consists of 642 miles

So Preston in 15 roundtrips is going to make

15 x 642 miles =9,630 miles

His car gets 38 miles per gallon. So we can write a proportion for that:

38 miles ---------1 gallon

9,630 miles ----- x

Cross multiplying it:

38x = 9,630 Divide by 38

x =9630/38

x=253.42 gallons

Finally, let's set another proportion to find out the cost of it

1 gallon -------------- $2.48

253.42 -------------- y

y= 253.42 x 2.48

y=628.4816

3) Rounding off to the nearest hundredth

$628. 48 That's how much Preston will spend.

Write a recursive formula for the following sequence. You are welcome to submit an image of handwritten work. If you choose to type then use the following notation to indicate terms; a_n and a_(n-1). To earn full credit be sure to share all work/calculations and thinking.a_n = { \frac{3}{5}, \frac{1}{10}, \frac{1}{60}, \frac{1}{360} }

Answers

Answer:

[tex]a_n=a_{n-1}\left(\frac{1}{6}\right)[/tex][tex]a_n=\frac{3}{5}\left(\frac{1}{6}\right){}^{n-1}[/tex]

Explanation:

we can see for the fractions with 1 as the numerator that the denominator is multiplied by 6 and the numerator remains the same, that corresponds to multiply the previous fraction by 1/6 and when verifying with the first fraction we observe that applies for all the terms.

an art teacher makes a batch of green paint by mixing 5/8 cup of yellow paint with 5/8 cup of blue paint if she mixes 29 batches how many cups will she have with green paint

Answers

1 lote = 5/8 cup yellow + 5/8 cup blue

29 lotes = 29(5/8) +29(5/8) cups

29 lotes = 58(5/8)= (58*5)/8=290/8=145/4

145/4 =35.25 cups of paint

A pool is built in the shape of an ellipse, centered at the origin. The maximum vertical length is 40 feet, and the maximum horizontal width is 18 feet. Which of the following equations represents the pool?

Answers

If the maximum vertical length of pool is 40 feet, and the maximum horizontal width of pool is 18 feet , then the equation that represent the pool is x/81 + y/400 = 1 , the correct is option is (B) .

In the question ,

it is given that

the shape of the pool is ellipse .

the maximum vertical length is 40 feet

the maximum horizontal length is 18 feet .

the general equation of the ellipse , is given by x/a + y/b = 1 ,

where a is the length of horizontal axis from origin

and b is the length of the vertical axis from the origin ,

So , the equation that represents the pool is x/81 + y/400 = 1

Therefore , if the pool is in the shape of ellipse , then the equation of the pool is x/81 + y/400 = 1  .

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Find the greatest common factor of the following monomials. 28g^5h^2 12g^6h^5

Answers

The GCF of these monomials i.e, 28g^5h^2 and 12g^6h^5 is 4h^2g^5

What is monomials?

Monomial expressions include only one non-zero term. Numbers, variables, or multiples of numbers and variables are all examples of monomials.

First take the coefficient ie, 28 and 12 to find the GCF

The GCF of 28 and 12 is 4

Now, find out the GCF of the variables for that you take the lowest exponent from both the variables g and h

for g variable it will be g^5 and,

for h variable it will be h^2

Therefore, the GCF of these monomials is 4h^2g^5

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Write the first six terms of each arithmetic sequence,Please see the photo

Answers

Answer: - 9, - 3, 3, 9, 15, 21

Explanation:

The given formula is

an = a(n - 1) + 6

a1 = - 9

where

n, n - 1 and 1 are subscripts

This is a recursive formula. Each term is defined with respect to the term before it.

From the information given,

first term = a1 = - 9

Second term = a2 = a(2 - 1) + 6 = a1 + 6 = - 9 + 6

a2 = - 3

Third term = a3 = a(3 - 1) + 6 = a2 + 6 = - 3 + 6

a3 = 3

Fourth term = a4 = a(4 - 1) + 6 = a3 + 6 = 3 + 6

a4 = 9

Fifth term = a5 = a(5 - 1) + 6 = a4 + 6 = 9 + 6

a5 = 15

Sixth term = a6 = a(6 - 1) + 6 = a5 + 6 = 15 + 6

a6 = 21

Thus, the first six terms are

- 9, - 3, 3, 9, 15, 21

Write the Distance Formula
Replace c with d to write the distance formula. Use the Distance Formula to Find the Distance Between Two Points
Find the distance, d, between G and H using the distance formula.
The distance between any two points (x1,y₁) and (x2,y2) on a
coordinate plane can be found by using the distance formula. Let (x,y)= (-2,1) and (x2,y2) =(4,-3). Substitute these values into the
distance formula and evaluate.

Answers

The distance between the two points is [tex]2\sqrt{13} units[/tex]

What is distance formula?

Distance formula is the measurement of distance between 2 points. It calculates the straight line distance between the given points. The formula can be given as [tex]distance=\sqrt{(c-a)^{2} +(d-b)^{2} }[/tex] Where A(a, b) B(c, d) Are the coordinates.

We are given the coordinates as (-2, 1) and (4, -3)

We substitute the values in the distance formula we get

[tex]distance=\sqrt{(c-a)^{2} +(d-b)^{2} } \\distance=\sqrt{(4+2)^{2} +(-3-1)^{2} }\\ distance=\sqrt{36+16 } \\distance=\sqrt{52 } \\distance =2\sqrt{13}[/tex]

Hence the distance between two points is [tex]2\sqrt{13} units[/tex]

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95-a(b+c) when a= 9, b = 3 and c=7.4 I don’t get how to solve this please put an explanation

Answers

Notice that in the statement of the exercise are the values of a, b and c. Then, to evaluate the given expression, we replace the given values of a, b, and c. So, we have:

[tex]\begin{gathered} a=9 \\ b=3 \\ c=7.4 \\ 95-a\mleft(b+c\mright) \\ \text{ We replace the given values} \\ 95-a(b+c)=95-9(3+7.4) \\ 95-a(b+c)=95-9(10.4) \\ 95-a(b+c)=95-93.6 \\ 95-a(b+c)=\boldsymbol{1.4} \end{gathered}[/tex]

Therefore, the result of evaluating the given expression when a = 9, b = 3, and c = 7.4 is 1.4.

vertical anges are always equal to each other

Answers

Given the statement:

Vertical angles are always equal to each other

The answer is: True

Because they are inclosed by the same lines

12. Suppose you roll a pair of six-sided dice.(a) What is the probability that the sum of the numbers on your dice is exactly 4? (b) What is the probability that the sum of the numbers on your dice is at most 2? (c) What is the probability that the sum of the numbers on your dice is at least 12?

Answers

Probability is computed as follows:

[tex]\text{probability}=\frac{\text{ number of favorable outcomes}}{\text{ total number of outcomes}}[/tex]

When rolling a pair of six-sided dice, the total number of outcomes is 36 (= 6x6)

(a) number of favorable outcomes: 3 (dice: 1 and 3, 2 and 2, 3 and 1)

Then, the probability that the sum of the numbers on your dice is exactly 4 is:

[tex]\text{probability }=\frac{3}{36}[/tex]

(b) number of favorable outcomes: 1 (dice: 1 and 1)

Then, the probability that the sum of the numbers on your dice is at most 2 is:

[tex]\text{probability }=\frac{1}{36}[/tex]

(c) number of favorable outcomes: 1 (dice: 6 and 6)

Then, the probability that the sum of the numbers on your dice is at least 12 is:

[tex]\text{probability }=\frac{1}{36}[/tex]

In solving for the inverse function for y = sqrt(3x + 2) - 1 , which of the following represents the first step?

Answers

we know that

The first step to find out the inverse of the function is to exchange the variables (x for y and y for x)

therefore

the answer is the second option

help meeeeeeeeee pleaseee !!!!!

Answers

The composition will be:

(g o h)(x) = 5*√x

By evaluating in x = 0, we get:

(g o h)(0) = 0

How to evaluate the composition?

Here we have the two functions:

g(x) = 5x

h(x) = √x

And we want to get the composition:

(g o h)(x) = g( h(x))

So we need to evaluate g(x) in h(x), we will get:

g( h(x)) = 5*h(x) = 5*√x

And now we want to evaluate this in x = 0, we will et:

(g o h)(0) = 5*√0 = 0

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Hello! I need some guidance please. Having trouble with which graph is correct

Answers

Given:

[tex]y\ge3x+3[/tex]

Required:

to show which graph is correct for the inequality.

Explanation:

Given graph is correct for the equation.

Required answer:

The given graph is correct.

Find the area of the sector interms of pi.2460°Area = [?]

Answers

Answer:

Area= 24π.

Explanation:

The area of a sector is calculated using the formula below:

[tex]A=\frac{\theta}{360\degree}\times\pi r^2[/tex]

From the diagram:

• The central angle, θ = 60°

Diameter of the circle = 24

• Therefore, Radius, r = 24/2 = 12

Substitute these values into the formula:

[tex]\begin{gathered} A=\frac{60\degree}{360\degree}\times\pi\times12^2 \\ =24\pi\text{ square units} \end{gathered}[/tex]

The area of the sector in terms of pi is 24π square units.

Select from these metric conversions1 kg = 1000 g1 g = 1000mgand use dimensional analysis to convert 4.59 kg to g.4.59 kg X 1

Answers

Since

[tex]1kg=1000g,[/tex]

then:

[tex]1=\frac{1000g}{1kg}.[/tex]

Then:

[tex]4.59kg=\frac{4.59kg}{1}\times\frac{1000g}{1kg}=4590g.[/tex]

Answer:

[tex]\frac{4.59kg}{1}\times\frac{1000g}{1kg}=4590g.[/tex]

Write standard form for the equation of the line: y = 1/2x - 5*

Answers

[tex]-\frac{1}{2}x+y=-5\Rightarrow s\tan dard\text{ form}[/tex]

Explanation

the standard form of a line is in the form Ax + By = C where A is a positive integer, and B, and C are integers

so, we need to write in this form

[tex]Ax+By=C[/tex]

Step 1

subtrac 1/2x in both sides

[tex]\begin{gathered} y=\frac{1}{2}x-5 \\ \\ y-\frac{1}{2}x=\frac{1}{2}x-5-\frac{1}{2}x \\ \\ y-\frac{1}{2}x=-5 \\ \text{reorder} \\ -\frac{1}{2}x+y=-5 \end{gathered}[/tex]

I hope this helps you

Question 2-22
A cake is cut into 12 equal slices. After 3 days Jake has eaten 5 slices. What is his wealty rate of eating the cale
5
36
.
B
TH
cakesliveek
er
9

Answers

Using the concept of Fraction, the weekly rate of Jake eating the cake is 11.2.

What is Fraction?

Fraction represents parts of a whole or group of objects. A fraction consists of two parts. The numerator is the number at the beginning of the line. It specifies the number of equal parts taken from the whole or collection. The number below the line is the denominator. It shows the total number of equal parts into which the whole is divided or the total number of identical objects in a collection.

We know that,

The cake is cut into 12 equal slices.

After 3 days Jake eats 5 slices then,

For 1 day = [tex]\frac{5}{3}[/tex]

= 1.6

Then for 7 days,

1.6 × 7 = 11.2

Hence, Jake's weekly rate of eating the cake is 11.2.

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The complete question would be

'A cake is cut into 12 equal slices. After 3 days Jake has eaten 5 slices. What is his weekly rate of eating the cake?'

Other Questions
A motorboat takes 3 hours to travel 108 miles going upstream. The return trip takes 2 hours going downstream. What is the rate in still water and what is the rate of the current?Rate of the boat in still water: mi/hRate of the current: mi/hmi/h= miles per hour given the function m(a)=27a^2+51a find the appropriate values:solve m(a)= 56a= strategies used to attempt to reduce the risk of being attacked are group of answer choices offensive competitive strategies. generic strategies. defensive competitive strategies. none of the above flag question: question 6 when the protein gramicidin is integrated into a membrane, an h channel forms and the membrane becomes very permeable to protons ( h ions). if gramicidin is added to an actively respiring muscle cell, how would it affect the various processes involved in cellular respiration and oxidative phosphorylation? (assume that gramicidin does not affect the production of nadh and fadh2 during the early stages of cellular respiration.) Writing the equation of a circle centered at the origin given its radius or appoint on the circle Determine the equation of the graphed circleReminder that the equation should look like the example I provided A periodic wave has a wavelength of 1.6 m and a speed of 16 m/s. What is the wave frequency? Which property is used in the following calculation?4 (18) (5)4 (5) (18)20 (18) 360A. Identity Property of MultiplicationB. Distributive PropertyC. None of theseD. Associative Property of MultiplicationE. Associative Property of Addition Greg is at his house he gets in his car drives north 8.9 miles and stops at a store then he turns around and drives south 7.7 miles to his friends house how far is the friends house from Gregs houses estimate 1/4% of 798 You have to multiple the whole number and the fraction if you dont know how to do it what is the molar mass of anhydrous solid, mol 4. Your doctor is preparing to treat a young girl who has warts on her feet. Write an explanationyou would give to the patient about what the doctor is going to do Answer For Brainiest!What 3D Objects' do EACH Net Make? An aluminum rod and a nickel rodare both 5.00 m long at 20.0C.The temperature of each is raisedto 70.0C. What is the differencein length between the two rods?AluminumNickela = 23.10-6C+ B = 69.10-6 0-1a = 13.10-6C1 B = 39.10-6-1(Unit = m)Enter Write an essay that explains how the foreshadowing in "The Monkey's Paw" by W. W. Jacobs creates tension, suspense, or both. Your essay will have an introduction paragraph, several body paragraphs, and a conclusion paragraph. The ideas in your essay must be linked by transitions.Make sure you show a good understanding of what foreshadowing, tension, and suspense mean. Also make sure you can pick out examples of these elements in "The Monkey's Paw" so that you can support your essay's claim with evidence.Your essay should include the following elements:A claim about how the foreshadowing in W. W. Jacobs's story creates tension or suspenseAn introduction paragraph, at least two body paragraphs, and a conclusion paragraphEvidence from the story that supports your claimTransitions that link words and ideasYou should have completed a draft of this assignment in the activity before this one. If you haven't done so, go back and complete that activity now. Simplify using the laws of exponents. Use the box to the right of the variable as its simplified exponent. I need help!Use the given information to select the factors of f(x). f(4)=0 f(-1)=0 f(3/2)=0. Make sure to select all correct answers for full credit. Solve the equation 5x = 85 for x. 17 17 90 80 Taras dog weighs 9.25 pounds. Jennas dog weighs 3 1/2 times as much as Taras dog. How much does Jennas dog weigh?