Find the distance between the points (3, -5) and (-6, -5).

Answer:

[tex]\large\boxed{A.\ \dfrac{1}{x^2y^2}}[/tex]

Step-by-step explanation:

[tex]\dfrac{x^0y^{-3}}{x^2y^{-1}}=\dfrac{1\cdot\dfrac{1}{y^3}}{x^2\cdot\frac{1}{y}}=1\cdot\dfrac{1}{y^3}\cdot\dfrac{1}{x^2}\cdot\dfrac{y}{1}=\dfrac{1}{y^2x^2}[/tex]

[tex]\text{Used}\\\\a^0=1\ \text{for all real numbers except 0}\\\\a^{-n}=\dfrac{1}{a^n}[/tex]

Answer:

37

Step-by-step explanation:

Pamela's age can be repesented with the variable, p .

Pamela is 11 years younger than Jerry. Jerry's age can be represented with the expression p + 11.

So,

Pamela: p

Jerry: p + 11

If their total, combined age is 63, the following equation can be used to represent their ages.

p + (p + 11) = 63

Now, solve.

p + (p + 11) = 63

p + p + 11 = 63

2p + 11 = 63

2p = 52

p = 26

Now, remember that 26 is how old Pamela is. We're looking for Jerry's age.

We established before that Jerry's age can be represented with the expression p + 11.

We know what p is, so substitute the value of p into the equation.

p + 11

26 + 11

37

So, Jerry is 37 years old.

If you'd like to double check your answer, add 37 [Jerry's age] and 26 [Pamela's age] and you get 56.

I hope this helps you!!! :)

Answer:

Step-by-step explanation:

[tex]y-2x>-8\qquad\text{add}\ 2x\ \text{to both sides}\\\\y>2x-8\\-------------------------\\\\<,\ >-\ dotted\ line\\\leq,\ \geq-\ solid\ line\\<,\ \leq-\ \ shading\ below\ the\ line\\>,\ \geq-\ shading\ above\ the\ line\\-------------------------\\\\y=2x-8-\text{It's a linear function.}\\\text{We only need two points to draw a graph.}\\\text{Choice two arbitrary values of x, substitute to the equation,}\\\text{and calculate the values of y}.\\\\for\ x=4\to y=2(4)-8=8-8=0\to A(4,\ 0)\\for\ x=0\to y=2(0)-8=0-8=-8\to B(0,\ -8)[/tex]

Answer:

Step-by-step explanation:

Look at the picture.

The graph of an exponential function  [tex]f(x)=a^x[/tex], a > 0

is above the x-axis and lie in I and II Quarter.

Answer: Option B.

[tex]b=\frac{5}{4}[/tex]

Step-by-step explanation:

If a varies directly with b then when a increases b it also increases by a factor k.

Then we can write that

[tex]a = kb[/tex]

We know that when a = 28 then b = 7. So

[tex]28 = k * 7[/tex]

[tex]k=\frac{28}{7}[/tex]

[tex]k=4[/tex]

Therefore the equation of proportionality is:

[tex]a=4b[/tex]

So when [tex]a=5[/tex]  then:

[tex]5=4b\\\\b=\frac{5}{4}[/tex]

ANSWER

The correct choice is B.

EXPLANATION

If 'a' varies directly as 'b' then we write the equation of variation,

[tex]a = kb[/tex]

Where k is the constant of variation.

We have that a = 28 when b = 7.

This implies that,

[tex]28= 7k[/tex]

[tex]k = 4[/tex]

The equation now becomes

[tex]a = 4b[/tex]

When we a=5, we have

[tex]5 = 4b[/tex]

[tex]b = \frac{5}{4} [/tex]

The correct answer is B

Answer:

12 cm

Step-by-step explanation:

The total surface area of the cone = area of base + area of curved surface

Subtract the base area from total area, that is

πrs = area - πr²

r is the radius and s the slant height

πrs = 417.8 - (π × 7²) = 263.86

Divide both sides by πr

s = [tex]\frac{263.86}{7\pi }[/tex] ≈ 12 cm

Answer: the exact form would be 14/9, decimal form would be 1.5 and the mixed number for would be 1 5/9

Step-by-step explanation:

Answer:

1 5/9

Step-by-step explanation:

3 1/2 divided by 2 1/4

convert to fractions; 7/2 divided by 9/4

invert the last fraction; 7/2 * 4/9

cross multiply; 7/1 * 2/9

multiply; 14/9

Convert to a mixed number; 1 5/9

Answer: 4

Explanation: Every other drink is a cappuccino (or half of the total drinks). All you need to do is divide 8 by 2, which gives you 4.

The answer is 4 because if 5 of the ten drinks were cap.’s then that means half are those, therefore, half of 8 is 4

Answer:

D

Step-by-step explanation:

3x=3(x)

x is an unknown number which there is no value.when there is number next to it.it will become times

Answer:

$152.50

Step-by-step explanation:

Moths   savings

Sep        $145.00

Oct        $166.00

Nov       $204.00

Dec       $180.00

Jan       $70.00

Feb      $150.00

Now we are supposed to find hat did Harry save per month on average

So, Mean = [tex]\frac{\text{Sum of all savings}}{\text{Total no. of months}}[/tex]

Mean = [tex]\frac{145+166+204+180+70+150}{6}[/tex]

Mean = [tex]\frac{915}{6}[/tex]

Mean = [tex]152.50[/tex]

So, Option A is correct.

Hence Harry saved $152.50 per month.

Answer:

20,030,000

Step-by-step explanation:

You find 10⁷ times 2. then 10⁴ times 3. then add them together

Answer:

one A has a diameter of 10 inches and Cone B has a diameter of 50 inches. If the cones are similar, find the volume ratio of Cone A to Cone B.

Step-by-step explanation:

The surface area of Cone A when  the surface area of Cone B is 725 ft² for the case when Cone A is similar to Cone B with a scale factor of 3:5 is 2013.89 ft²

Similar figure are zoomed in or zoomed out (or just no zoom) version of each other. They are scaled version of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.

So, if a side of a figure is of length L units, and that of its similar figure is of M units, then:

[tex]L = k \times M[/tex]

where 'k' will be called as scale factor.

The linear things grow linearly like length, height etc.

The quantities which are squares or multiple of linear things twice grow by square of scale factor. Thus, we need to multiply or divide by [tex]k^2[/tex]

to get each other corresponding quantity from their similar figures' quantities.

Similarly, increasing product derived quantities will need increased power of 'k' to get the corresponding quantity. Thus, for volume, it is k cubed. or

It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.

For this case, we're given that:

The scale factor between cone A and cone B is 3:5

That can be taken as: [tex]3/5 = 0.6[/tex] scale factor.

It means,

side length of cone A = [tex]0.6 \times[/tex] corresponding side length of cone B

Also, as given, we have:

Surface area of cone B = 725 ft²

Assume that cone A's surface area is S, then we get:

surface area of cone A = [tex]0.6^2 \times[/tex] surface area of cone B

[tex]725 = 0.6^2 \times S\\S =\dfrac{725}{0.6^2} \approx 2013.89 \: \rm ft^2[/tex]

Thus, the surface area of Cone A when  the surface area of Cone B is 725 ft² for the case when Cone A is similar to Cone B with a scale factor of 3:5 is 2013.89 ft²

Learn more about scale factor here:

https://brainly.com/question/11178083

#SPJ2

8 + 4 (2x+7) = 2 (2+6x), 4 (2x+7) + 8 = 2 (6x+2), (4 x 2x + 4x7) + 8 = 2 (6x+2)

x = 9

Answer:

A. y=-3x + 29

Step-by-step explanation:

The slope shows up in the equation as the coefficient of x. Only answer choice A has an x-coefficient of -3. It also happens to describe a line that goes through (7, 8).

y = -3x +29

___

Check

y = -3·7 +29 = -21 +29 = 8 . . . . as required

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 3, so

y = - 3x + c ← is the partial equation of the line

To find c substitute (7, 8) into the partial equation

8 = - 21 + c ⇒ c = 8 + 21 = 29

y = - 3x + 29 → A

Answer:

x = 18.

Step-by-step explanation:

x / 1.2 = 15

To isolate x we multiply both sides of ther equation by 1.2:

x = 15 * 1.2

x =  18 (answer).

For this case we must find the value of the variable "x" of the following equation:

[tex]\frac {x} {1.2} = 15[/tex]

To do this, we must multiply both sides of the equation by "1.2":

[tex]\frac {x} {1.2} * 1.2 = 15 * 1.2\\x = 18[/tex]

Thus, the value of the variable x is 18.

Answer:

[tex]x = 18[/tex]

Answer:

50000 times

Step-by-step explanation:

Since these are given in scientific notation, we can convert them to have the same powers of 10. Converting 4*10^12 to something times 10^7, we can get 4*10^5*10^7. So we divide 400000 by 8 to see how many times larger it is than 8. So we get 50000 times as our answer.

Final answer:

To determine how many times larger [tex]4 * 10^{12}[/tex] is than [tex]8 * 10^7[/tex], divide the two numbers to get [tex]0.5 * 10^5[/tex], which simplifies to [tex]5 * 10^4[/tex] or 50,000 times larger.

Explanation:

To find out how many times larger [tex]4 * 10^{12}[/tex] is than [tex]8 * 10^7[/tex], we can divide the first number by the second:

[tex]4 * 10^{12}[/tex] ÷ [tex]8 * 10^7[/tex] = (4/8) x [tex]10^{(12-7)}[/tex]

Now, simplify:

First, simplify the division of the coefficients (4/8) which equals 0.5.

Then, subtract the exponents of 10, which is 12 - 7 = 5.

So, the final answer is:

[tex]0.5 * 10^5 = 5 * 10^4[/tex]

This means that [tex]4 * 10^{12}[/tex] is 50,000 times larger than [tex]8 * 10^7[/tex].

[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=106.76 \end{cases}\implies 106.76=2\pi r \\\\\\ \cfrac{106.76}{2\pi }=r\implies 33.98\approx r[/tex]

Answer:

Radius= 16.991381724491

Step-by-step explanation:

Circumference:106.76

Diameter:33.982763448981

The sides of the transformed figure A'B'C'D' describes A'D' is congruent to A'B' . The correct answer is option A

Translating a figure ABCD down by 6 units results in a congruent figure A'B'C'D', meaning the sides of the transformed figure are of the same length and angles as the original.

When a figure is translated, all of its sides remain parallel and congruent to the corresponding sides of the original figure. Therefore, the sides of the transformed figure A'B'C'D' are all parallel to the corresponding sides of the original figure ABCD.

In particular, we can see that A'D' is parallel to A'B' because they are both horizontal lines. Additionally, we can see that A'D' is congruent to A'B' because they are both the same length.

Therefore, the correct answer is option A. A'D' || A'B'.

he has to make a bank account and it'll help in the long run

[tex] \frac{3.4}{5.1} = 0.666667[/tex]

Your answer is 0.6 repeating

Answer:

C. 19.23%

Step-by-step explanation:

We simply have to sum up all the times he had a six then divide that by all the times he rolled the die.

Total times he got 6: 5 + 3 + 11 + 11 = 30

Total times he rolled the die: 39 + 21 + 55 + 41 = 156

The experimental probability is then 30 / 156 = 19.23%

It's a bit higher than expected (1/6 or 16.66%), but the sampling is relatively small.  If he were to throw it a thousand times, he'd probably be much close to the theoretical probability.

ANSWER

The x-coordinate of the solution to the system of equations is 1.

EXPLANATION

The given equations are:

y = -x - 2

and

y = 2x - 5.

We want to find the x-coordinate of the solution to the system of equations.

We equate the two equations to obtain an equation in x.

This implies that,

2x-5=-x-2

Group similar terms to obtain:

2x+x=-2+5

Simplify

3x=3

Divide both sides by 3.

x=1

The x-coordinate of the solution to the system of equations is 1

The solution to the system of equations y = -x - 2 and y = 2x - 5 is found by setting them equal to each other and solving for x, which yields the x-coordinate of the solution as 1.

To find the x-coordinate of the solution to the system of equations y = -x - 2 and y = 2x - 5, we can solve the equations simultaneously since they are both linear equations. Here are the steps to finding the solution:

So, the x-coordinate of the solution to the system of equations is 1.

Answer:

0.4

Step-by-step explanation:

so, Katherine can do 0.1 of the job per hour. (if she needs 10 hours for the job, each hour she can do the whole divided by the time, so 1/10, which is 0.1)

if in two hours she and Marina can be done, then Marina will do 1(the whole job)-2/10 (twice as much as she can do in an hour)=0.8 of the job. So if Marina does 0.8 of the job in two hours, each hour she will do half of it: 0.4 - and this is the correct answer 

Multiply her pay by the FICA tax rate:

325 x 0.0625 = $20.31

Now look in the table for her pay and then find her number of deductions ( 2) and find what the corresponding number is, then add that to her tax.

See picture:

20.31 + 2 = $22.31

Answer:

12,2,4,7

I think those are the coefficients

For this case we have to, given a monomial of the form:

[tex]ax ^ ny ^ m[/tex]

We have to:

a: Represents the coefficient of the monomial

x, y: Are the variables

n, m: They are the exponents

Then, according to the given expression we have that the coefficients are:

12,2, 4 and 7

ANswer:

12,2, 4 and 7

32√2

-5√5

3√7 + 7√6;

Find the highest perfect square and non-perfect square that will give you the product of what is inside the radicals, multiply the square roots of those perfect squares by their outside terms, and you will have your simplified radicals.

Answer:

(x + 3)(x + 1)(x - 1)

Step-by-step explanation:

Given

x³ + 3x² - x - 3

Factor the first/second and third/fourth terms

= x²(x + 3) - 1(x + 3) ← factor out (x + 3) from each term

= (x + 3)(x² - 1) ← (x² - 1) is a difference of squares, hence

= (x + 3)(x + 1)(x - 1) ← in factored form

Easily you can try each formula with x=-2

because we know f(-2)=-1

So ,in this way D is correct Only!!

Answer:

D) f(x) = (x + 2)³ -1.

Step-by-step explanation:

Given  : the graph of f(x), shown below in pink, has the same shape as the graph of g(x)=x^3, shown in gray.

To find :  which of the following is the equation for f(x).

Solution : We have given

Graph of f(x) is pink and graph of  g(x) is gray.

We can see graph of f(x) is shifted to 2 unit left and 1 unit down

Because  gray is at (0 ,0 ) and pink is at ( -2,-1)

By the transformation rule  f(x) →→ f(x+h) -k.

It shows that graph is shifted  to left by h unit and shifted down by k unit.

Then the equation of pink graph is :

f(x) = (x + 2)³ -1.

Therefore,D) f(x) = (x + 2)³ -1.

Answer:

4 cm is the correct answer

Answer:

[tex]\large\boxed{\dfrac{1}{45}}[/tex]

Step-by-step explanation:

1.

2 yellow marables of 10 all marables

[tex]P(A_1)=\dfrac{2}{10}=\dfrac{1}{5}[/tex]

2.

1 yellow marable of 9 all marables

[tex]P(A_2)=\dfrac{1}{9}[/tex]

[tex]P(A)=P(A_1)\cdot P(A_2)\\\\P(A)=\dfrac{1}{5}\cdot\dfrac{1}{9}=\dfrac{1}{45}[/tex]