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3 years ago

−126 = 14k MAKE SURE TO SHOW YOUR WORK PLEASE HURRY

Mathematics

1 answer:

vovangra [49]3 years ago

3 0

Answer:

k = -9

Step-by-step explanation:

When a number (coefficient) is next to a letter (variable) that means you multiply. To solve you would to the opposite, which is to divide.

-126 ÷ 14 = -9

So -9 is equal to k.

Hope that helps and have a great day!

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A rectangular prism has a base length of 6 units, base width of 5 units, and height of 4 units. The bases are shaded.

Angelina_Jolie [31]

Answer:

Part 1) The lateral area is $LA=88\ units^2$

Part 2) The area of the two bases together is $2B=60\ units^2$

Part 3) The surface area is $SA=148\ units^2$

Step-by-step explanation:

Part 1) Find the lateral area

we know that

The lateral area of a prism is given by

$LA=Ph$

where

P is the perimeter of the base

h is the height of the prism

$P=2(6+5)=22\ units$ ----> perimeter of rectangle

$h=4\ units$ ---> given

substitute

$LA=22(4)=88\ units^2$

Part 2) The area of the two bases together is?

The area of the rectangular base B is equal to

$B=(6)(5)=30\ units^2$

therefore

The area of the two bases together is

$2B=2(30)=60\ units^2$

Part 3) The total surface area is

we know that

The surface area is equal to

$SA=2B+LA$

substitute

$SA=60+88=148\ units^2$

4 0

3 years ago

Read 2 more answers

A bank offers auto loans to qualified customers. The amount of the loans are normally distributed and have a known population st

vlabodo [156]

Answer: 1.467

Step-by-step explanation:

Formula of Margin of Error for (n<30):-

$E=t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size : n= 22

Level of confidence = 0.90

Significance level : $\alpha=1-0.90=0.10$

By using the t-distribution table ,

Critical value : $t_{n-1, \alpha/2}=t_{21,0.05}= 1.720743$

Standard deviation: $\sigma=4$

Then, we have

$E=(1.720743)\dfrac{4}{\sqrt{22}}=1.46745456106\approx1.467$

Hence, the margin of error for the confidence interval for the population mean with a 90% confidence level =1.467

5 0

3 years ago

Read 2 more answers

Help please! I'll give a brainliest for the best and the correct answer loves!

Fofino [41]

15x10=150
Subtract 5x5=25 small square cut out
150 -25= 125 sq ft
D

3 0

3 years ago

PLEEEEASE HELP!!!! QUICK

lana [24]

Answer:

By 25% :)

Step-by-step explanation:

5 0

3 years ago

Which ratio forms a proportion with 25/35 . A. 3/5 B. 15/21 C.24/34 D. 5/11

iogann1982 [59]

In order to find this out, we just needed to find out which one has the same smallest fraction

25 / 35. Divided this by 5 and we will get 5/7 >>> smallest fraction

15/21 . Divided this by 3 and we also will get 5/7 >> smallest fraction

So the answer would be : B. 15/21

hope this helps

3 0

3 years ago