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2 years ago

8

Write a direct variation equation that shows the relationship between x and y.

1 answer:

Vlada [557]2 years ago

4 0

$\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we know that } \begin{cases} y = 15\\ x = 6 \end{cases}\implies 15=k(6)\implies \cfrac{15}{6}=k\implies \cfrac{5}{2}=k \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y = \cfrac{5}{2}x~\hfill$

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Please help!!!!<br> picture below

Vlada [557]

Answer:

7 ^ 6x + 2 = 7^15

taking log on both the sides

log 7^6x + 2 = log 7^15

6x + 2 log 7 = 15 log 7

log 7

7 0

1 year ago

Composite Figures Question 9.<br> A. 57 ft <br> B. 288 ft<br> C. 208 ft<br> D. 264 ft

Elden [556K]

Answer:

D

Step-by-step explanation:

find area of first rectangle

18 x 6 = 108

find area of second rectangle

20 x 5 = 100

find area of two triangles

7 x 8 =56

56/2 = 28

each triangle has an area of 28

28+28+100+108 = 264ft

8 0

2 years ago

In a random sample of 400 residents of Boston, 320 residents indicated that they voted for Obama in the last presidential electi

coldgirl [10]

Answer:

C.I = 0.7608 ≤ p ≤ 0.8392

Step-by-step explanation:

Given that:

Let consider a random sample n = 400 candidates where 320 residents indicated that they voted for Obama

probability $\hat p = \dfrac{320}{400}$

= 0.8

Level of significance ∝ = 100 -95%

= 5%

= 0.05

The objective is to develop a 95% confidence interval estimate for the proportion of all Boston residents who voted for Obama.

The confidence internal can be computed as:

$=\hat p \pm Z_{\alpha/2} \sqrt{\dfrac{ p(1-p)}{n } }$

where;

$Z_{0.05/2}$ = $Z_{0.025}$ = 1.960

SO;

$=0.8 \pm 1.960 \sqrt{\dfrac{ 0.8(1-0.8)}{400 } }$

$=0.8 \pm 1.960 \sqrt{\dfrac{ 0.8(0.2)}{400 } }$

$=0.8 \pm 1.960 \sqrt{\dfrac{ 0.16}{400 } }$

$=0.8 \pm 1.960 \sqrt{4 \times 10^{-4}}$

$=0.8 \pm 1.960 \times 0.02}$

$=0.8 \pm 0.0392$

= 0.8 - 0.0392 OR 0.8 + 0.0392

= 0.7608 OR 0.8392

Thus; C.I = 0.7608 ≤ p ≤ 0.8392

3 0

2 years ago

How do I find the surface area of a cylinder?

Inga [223]

Answer:

SA = 2πr² + 2πrh

Step-by-step explanation:

2πr² will provide the surface area of the top and bottom of the cylinder

2πrh will provide the surface area of the cylinder portion that connects the top and bottom

7 0

2 years ago

Read 2 more answers

A display of cans in a grocery store consists of 15 rows. There are 45 cans on the bottom , 42 cans on the next row, and so on,

Alchen [17]

Answer:

n = 9

Step-by-step explanation:

20 + 18 + ... + 6 + 4

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

a = 20 ; d = -2 ; n = ?

--------

4 = 20 + (n-1)(-2)

-16 = (n-1)(-2)

---------

n-1 = 8

n = 9

-------

S(9) = (9/2)(20+4)

S(9) = 4.5*24

S(9) = 108

8 0

3 years ago