this is the last one i need help on, please help

Step-by-step explanation:

D it's the biggest target on the chart

Answer:

.............................

Answer:

Explanation:

C ∝ √y

C = k√y

If C = 12.8, y = 16

12.8 = k√16

12.8 = k(4)

k = 3.2

So the expression:

C = 3.2√y

solve for C when y = 400

C  = 3.2(√400)

C = 3.2(20)

C = 64

The expression for C in terms of y where C is directly proportional to the square root of y is C=3.2√y and the value of C at y=400 is 64.

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

[tex]p = kq[/tex]

where k is some constant number called constant of proportionality.

This directly proportional relationship between p and q is written as

[tex]p \propto q[/tex] where that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

C is directly proportional to the square root of y. Thus, the relation can be represented with the proportionality sign as,

[tex]C\propto \sqrt{y}[/tex]

Let k is the proportionality constant. Thus, the equation can be rewritten as,

[tex]C=k \sqrt{y}[/tex]

Here, the value of  C is 12.8 and the value of y is 16. Put these values in the above equation as,

[tex]12.8=k \times\sqrt{16}\\12.8=k \times4\\k=\dfrac{12.8}{4}\\k=3.2[/tex]

Thus, the value of constant is 3.2.

The value of constant is 3.2. Thus, the expression for C in terms of y is given as,

[tex]C=3.2\sqrt{y}[/tex]

Put the value of y =400 in the above expression.

[tex]C=3.2\sqrt{400}\\C=3.2\times20\\C=64[/tex]

Thus, the expression for C in terms of y where C is directly proportional to the square root of y is C=3.2√y and the value of C at y=400 is 64.

Learn more about directly proportional relationship here:

https://brainly.com/question/13082482

[tex][Hello,BrainlyUser][/tex]

Answer/Step-by-step explanation:

38) 1/2 ÷ 5 = 1/10

39) 1 3/5 ÷ 3/5 = 2 2/3

40) 2 1/8 ÷ 1 /4 =8 1/2

41) 2/3 ÷ 2 1/3 =2/7

42) 5/6 ÷ 1 1 /4 = 2/3

[CloudBreeze]

Answer:

[38] 1/10

[39] 2 2/3

[40] 8 1/2

[41] 2/7

[42] 2/3

Step-by-step explanation:

Dividing Fractions Formula:

[tex]\frac{a}{b}[/tex] ÷ [tex]\frac{c}{d}=\frac{a * b}{b*c}[/tex]

=================================================================

[38]  [tex]\frac{1*1}{2*5}=\frac{1}{10}[/tex]

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

[39] [tex]\frac{8*5}{5*3}=\frac{40}{15}=2\frac{2}{3}[/tex]

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

[40] [tex]\frac{17*4}{8*1}=\frac{68}{8}=8\frac{1}{2}[/tex]

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

[41] [tex]\frac{2*3}{3*7}=\frac{6}{21}=\frac{2}{7}[/tex]

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

[42] [tex]\frac{5*4}{6*5}=\frac{20}{3}=\frac{2}{3}[/tex]

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

[RevyBreeze]

Answer:

In order:

[tex]\frac{16}{k^2}[/tex]

[tex]180c^{17}d^7[/tex]

[tex]-\frac{27y^4}{x^2}[/tex]

Step-by-step explanation:

[tex]48k^5/3k^7\\\\\frac{48k^5}{3k^7} \\\\\frac{16}{k^{7-5}} \\\\\frac{16}{k^2}[/tex]

[tex]12c^7d^4*15c^{10}d^3\\\\12*15c^{7+10}d^{4+3}\\\\180c^{17}d^7[/tex]

[tex](-xy)^4 *(-3x^{-2})^3\\\\x^4y^4*(-3x^{-2})^3\\\\x^4y^4*-27x^{-6}\\\\-27x^{-6+4}y^4\\\\-27x^{-2}y^4\\\\-27*\frac{1}{x^2} *y^4\\\\-\frac{27y^4}{x^2}[/tex]

Hope this helps!

[tex]\longrightarrow \sf \$ \: 307.2[/tex]

Since painting is done on outer surface of cubical block we will have to find its surface area which is given by-

[tex]\green{ \underline { \boxed{ \sf{Surface \: area \:of \:Cube = 6a^2}}}}[/tex]

[tex]\begin{gathered}\\\quad \sf Surface \: area \:of \:Cube = 6\times(3.2)^2 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies \quad \sf 6\times 3.2\times3.2 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies \quad \sf 61.44 cm^2 \\\end{gathered} [/tex]

Now,

[tex]\maltese \sf Cost \:of \:painting \: 1 \: cm² = \$ 5[/tex]

[tex] \sf Cost \: of \: painting \: 61.44 \:cm²=61.44×5[/tex]

[tex]\sf\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad=\$ 307.2[/tex]

[tex]\leadsto[/tex]Thus it would cost $ 307.2 to paint the entire cubical block.

Answer:

a) 4.75g + 5.15c

b) $83.40

Step-by-step explanation:

Gasoline = $4.75 per gallon

Oil = $5.15 per can

Let g = number of gallons

Let c = number of cans

a) Total spend = 4.75g + 5.15c

b) Given:

⇒ total spend = 4.75(7.8) + 5.15(9)

                       = 37.05 + 46.35

                        = $83.40

The total electricity cost for the fans during one year is $11.52. Then the correct option is C.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The climate in which jonah lives is mild all year long except during the hotter summer months.

For 3 months out of the year, jonah needs to use 4 portable fans to cool his home.

If the electricity to use one fan costs 1 cent per hour and each fan is on for about 96 hours per month.

Then we have the equation for the electric bill for x month for a fan,

Electric bill = 96 × 1 × x

Electric bill = 96x

For four fans we have electric bill will be

Electric bill = 4 × 96x

Electric bill = 384x

For three months that is x = 3, we have

Electric bill = 384 × 3

Electric bill = 1152

The electric bill is 1152 cents which are equal to $11.52.

More about the linear system link is given below.

https://brainly.com/question/20379472

Answer:

B. students 12, 60, and 74

Explanation:

All three numbers are in the random sample set given.

Answer:

Sry Im late but I hope I can help every one else

Step-by-step explanation:

THE ANSWER IS B

Answer:

-28

Step-by-step explanation:

Since the first number is 10 and they say and the equation said two numbers sum - 18 therefore 10 + x equals to -18

=> 10 + x = -18

now to find the second number collect like terms make x the subject of formula

=> x = -18 -10

substract -18 from -10

x = -28

-28 is your final answer

good luck with your assignment and enjoy

Answer:

errr not sure if it's 36%

hope it helps

Answer:

631

thx for points

Answer:

$58,000

Step-by-step explanation:

because i multiplied 2000 with 11 and got 22,000 and then i added that to the 36,000 and got 58,000 hope this helps

9 rooms / 3 rooms = 3

It will take him 3 times as long.

13 hours x 3 = 39 hours

answer: 39 hours

Answer:

39 hours

Step-by-step explanation:

13h = 3 rooms

3 x 3 = 9

13 x 3 = 3 x 3

39h = 9 rooms

Answer:

x = 10

Step-by-step explanation:

First distribute the 2 into the parentheses

2x+20 = 4x

20 = 2x

x = 10

Step-by-step explanation:

The reciprocal of 3=

[tex] \frac{1}{3} [/tex]

The reciprocal of ⅔ =

[tex] \frac{1}{ \frac{2}{3} } \\ 1 \div \frac{2}{3} \\ 1 \times \frac{3}{2} \\ \frac{3}{2} [/tex]

[tex]\mathbb{FINAL\:ANSWER:}[/tex]

[tex]\huge\boxed{\sf{reciprocal\:of\:3=\frac{1}{3} ; \:reciprocal\:of\: \frac{2}{3} =}\frac{3}{2} }[/tex]

[tex]\mathbb{SOLUTION\:WITH\:STEPS:}[/tex]

Hi! Hope you are having a nice day!

In order to find the reciprocal of a number, all we should do is flop the number over.

Sounds easy, right? Let's find the reciprocal of 3.

What is 3 flopped over? That's right, [tex]\displaystyle\frac{1}{3}[/tex].

We found the reciprocal of 3. :)

Now it's time to find the reciprocal of [tex]\displaystyle\frac{2}{3}[/tex].

Let's flop it over:

[tex]\displaystyle\frac{3}{2}[/tex]

Hope you could understand everything.

#CarryOnLearning

From the system of linear equations was verified that the value for z is equal to 87.45.

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

These numbers are represented by a ratio between two integers numbers ([tex]\frac{a}{b}[/tex]), where b[tex]\neq[/tex]0.  Besides, this ratio can be simplified in decimal form.

For solving this equation, firstly, rewrite the information given:

                                          [tex]y=\frac{5}{12} x \;(1)\\ \\ z=50.25+x \;(2)\\ \\ y=15.5 \;(3)[/tex]

As the question gives the values for y, you can find x.

                                        [tex]y=\frac{5}{12} x\\ \\ 15.5=\frac{5}{12} x\\ \\ 5x=12*15.5 \\ \\ x=\frac{186}{5}=37.2[/tex]

Applying x=37.2 in equation (3), you can find z.

                              [tex]z=50.25+x \\ \\ z=50.25+37.2\\ \\ z=87.45[/tex]

Learn more about the system of equations here:

https://brainly.com/question/384631

Answer:

A : 45

B : 22.5

second page is 4.5

third page is is 25.5

fourth page is 62.5

Answer:

25% of £90 = £22.50

25% of £18 = £4.50

85% of 30 = £25.50

15% of £24 = £3.60

Step-by-step explanation:

For some of the answers, I can see you've got the digits correct, but it is important that you add the 0 for the .5 since it is in money terms. e.g. not 4.5, but £4.50.

With percentages, it is useful to break them down into easier percentages to solve. For example, instead of thinking of 15%, think of 10% + 5%. Finding 10% of a number is easy - divide it by 10. So 10% of 24 would be 2.4. And 5% of 24 is just 10% divided by 2, because 10 divided by 2 is 5. So 5% of 24 is 2.4 divided by 2, so 5% of 24 = 1.2

10% + 5% = 15% = 2.4 + 1.2 = 3.6

And because it is in money terms, we need to add the 0, to make it:

£3.60.

If you need further explanation, please let me know! And if you found this most useful, a brainliest would be appreciated :)

- profparis

Answer:

D

the scatter diagram shows a slightly decreasing trend

Answer:

2 1/4

Step-by-step explanation:

The amount of paper needed to wrap the considered box which has dimension of 10 by 10 by 6 inches is 440 sq. inches

Let the three dimensions(height, length, width) be x, y,z units respectively.

The surface area of the cuboid is given by

[tex]S = 2(a\times b + b\times c + c\times a)[/tex]

A box is usually in shape of a cuboid.

For this case, its dimensions are 10 inches, 10 inches, and 6 inches.

The amount of wrapper we need is approx same as the area of its surface (assuming we're going to measure the paper needed in terms of its area).

Thus, we get:

Amount of the paper we need to wrap the considered box = surface area of that box = surface area of cuboid of dimension 10 inch by 10 inch by 6 inches = S (say), then:

[tex]S = 2(10\times 10+ 10\times 6 + 6\times 10)\\S = 440[/tex](in sq. inches)

Thus, the amount of paper needed to wrap the considered box which has dimension of 10 by 10 by 6 inches is 440 sq. inches

Learn more about surface area of cuboid here:

https://brainly.com/question/13522634

Using the z-distribution, as we have the standard deviation for the population, it is found that the sample provides enough evidence to conclude that self-esteem scores for these adolescents are significantly different from those of the general population.

At the null hypothesis, we test if the score for group-participation adolescents is the same as the general population, that is:

[tex]H_0: \mu = 50[/tex]

At the alternative hypothesis, we test if the score is different, that is:

[tex]H_1: \mu \neq 50[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

In this problem, we have that:

[tex]\overline{x} = 53.8, \mu = 50, \sigma = 15, n = 100[/tex].

Hence:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{53.8 - 50}{\frac{15}{\sqrt{100}}}[/tex]

[tex]z = 2.53[/tex]

Considering a two-tailed test, as we are testing if the mean is different of a value, with a significance level of 0.05, the critical value is [tex]|z^{\ast}| = 1.96[/tex]

Since the absolute value of the test statistic is greater than the critical value for the two-tailed test, it is found that the sample provides enough evidence to conclude that self-esteem scores for these adolescents are significantly different from those of the general population.

More can be learned about the z-distribution at https://brainly.com/question/26454209

Answer:

30

x+x+60+60=180( sum of angles in a triangle)

2x=60

x=30

Answer:

a

Step-by-step explanation:

if the two vertex angles are the same then the other two angles of both triangles have to be the identical since all three have to add to 180 then since the two base angles are the same the sides opposite them are congruent and the two triangles are similar by SAS(side angle side)

Answer:

(6,1)

Step-by-step explanation:

Moving down is associated with y coordinate.

Answer:

35 I think I hope it is correct

Answer:

756cm

Step-by-step explanation:

[tex]12 \times 7 \times 9 = 756[/tex]

Because length times height times width

Is the best way to solve Parallelogram