Ask question

Ask question

All categories

3 years ago

10

The graph below shows four straight lines, W, X, Y, and Z.

2 answers:

rosijanka [135]3 years ago

6 0

The answer is X- the gradient is +5, and the line goes through +5 on the graph

Digiron [165]3 years ago

3 0

The y intercept (when x = 0) is at y=5 as y=3(0) + 5 allows y to equal 5. Therefore the answer is line x as it also goes through 5 when x = 0

You might be interested in

Evaluate 2(x+4)^2 - (3y+5)^3 for x= -3 and y= -1

UNO [17]

<span>2(x+4)^2 - (3y+5)^3
at x=-3 and y=-1

2(-3+4)^2 - ((3*-1)+5)^3
2 (1)^2 - (2)^3
2 - 8
(-6)</span>

5 0

4 years ago

What is the volume of a cone that has a radius of 4 cm and a height of 9 cm?

vodka [1.7K]

For any sort of pyramid or cone, the volume is 1/3 of the volume of a prism with the same base and height. Since the volume of a prism/cylinder is $V=Bh$ , the volume of a pyramid/cone is $V=\frac{1}3Bh$ .

In this case, our base is a circle, which has a radius of 4 cm.
The area of a circle is $A=\pi r^2$ where r is the radius.
$A=\pi (4)^2=\pi (4\times4)=16\pi=B$

We now know that our base is 16π cm.
We also know that our height is 9 cm.
Let's plug these into our volume formula.

$V=\frac{1}3\times16\pi \times9$

Use 3.14 to approximate pi as the question states. 16 × 3.14 = 50.24.

$V\approx\frac{1}3\times50.24\times9$

We could punch all of that into our calculator to get the same answer, but since 1/3 of 9 is clearly 3, let's just go with that.

$V\approx3\times50.24$

$\boxed{V\approx150.72\ cm^3}$

8 0

3 years ago

Read 2 more answers

. Gold has a density of 19.32 g/cm3. If a square pyramid has a base edge length of 5 cm, height of 6 cm, and a mass of 942 g, is

trapecia [35]

Answer:

The answer to your question is: It is not made of gold.

Step-by-step explanation:

Data

density = 19.32 g/cm³

side = 5 cm

height = 6 cm

mass = 942 g

Formula

V = $\frac{1}{3} L^{2} h$

L² = 5 x 5 = 25 cm²

V = $\frac{1}{3} 25 x 6$

V = 50 cm³

density = 942 g / 50 cm³

= 18.84 g/cm³

It is not made of gold because the density calculated is lower than the density reported in books.

3 0

4 years ago

Read 2 more answers

A random sample is made of 256 middle managers concerning their annual incomes. The sample mean is computed to be $35,420. If th

ziro4ka [17]

Answer: a. $128.125

Step-by-step explanation:

The standard error of the mean is given by :

$SE=\dfrac{\sigma}{\sqrt{n}}$ , where $\sigma$ = population standard deviation , n= sample size.

Given: $\sigma=\$2,050$

n= 256

Then, the standard error of the mean:-

$SE=\dfrac{2050}{\sqrt{256}}\\\\=\dfrac{2050}{16}=\$128.125$

Hence, option a. is correct.

3 0

3 years ago

Bayside Insurance offers two health plans. Under plan A, Giselle

LiRa [457]

Answer:

Step-by-step explanation:

Let x represent the amount of medical bills that Giselle has to pay.

Assume she has over $160 in bills,

it means that

x > 160

Under plan A, Giselle would have to pay the first $110 of her medical bills, plus 35% of the rest. Therefore, she will have to pay for

35/100 × (x - 110) = 0.35(x - 110)

Under plan B, Giselle would pay the first $160, but only 20% of the rest. Therefore, she will have to pay for

20/100 × (x - 160) = 0.2(x - 160)

Therefore, the amount of medical bills that plan B will save is

0.35(x - 110) - 0.2(x - 160) = 0.35x - 38.5 - 0.2x + 32

0.15x + 6.5

Substituting x = 160 into 0.15x + 6.5, it becomes

0.15 × 160 + 6.5 = $30.5

Total bills would be 160 + 30.5 = 190.5

Therefore, Giselle would save $30.5 with plan B if she had more than $190.5 in bills.

4 0

4 years ago