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3 years ago

Paul is saving for a video game. It costs $70, including tax. He has already saved $35. How much more does he need to save?

Mathematics

2 answers:

11111nata11111 [884]3 years ago

8 0

Answer:

the answer is $35

Step-by-step explanation:

70 - 35 = 35

MrMuchimi3 years ago

7 0

Answer:

Step-by-step explanation:

70 takeaway 35 is 35 which is what is left over.

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Identify the vertex, the axis of symmetry, the maximum or minimum value, and the domain and range of the function for f(x)=(x-9)

Rzqust [24]

Identify the vertex, the axis of symmetry, the maximum or minimum value, and the domain and range of the function for f(x)=(x-9)^2-29

we have

f(x)=(x-9)^2-29

This is a vertical parabola, open upward

The vertex represent a minimum

The vertex of the parabola is the point (9,-29)

The domain is all real numbers

The range is the interval {-29, infinite)

$y\ge-29$

The axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

In this problem

axis of symmetry is x=9

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1 year ago

The curves y = √x and y=(2-x) and the Cartesian axes form two distinct regions in the first quadrant. Find the volumes of rotati

makkiz [27]

Answer:

Step-by-step explanation:

If you graph there would be two different regions. The first one would be

$y = \sqrt{x} \,\,\,\,, 0\leq x \leq 1 \\$

And the second one would be

$y = 2-x \,\,\,\,\,, 1 \leq x \leq 2$ .

If you rotate the first region around the "y" axis you get that

$A_1 = 2\pi \int\limits_{0}^{1} x\sqrt{x} dx = \frac{4\pi}{5} = 2.51$

And if you rotate the second region around the "y" axis you get that

$A_2 = 2\pi \int\limits_{1}^{2} x(2-x) dx = \frac{4\pi}{3} = 4.188$

And the sum would be 2.51+4.188 = 6.698

If you revolve just the outer curve you get

If you rotate the first region around the x axis you get that

$A_1 =\pi \int\limits_{0}^{1} ( \sqrt{x})^2 dx = \frac{\pi}{2} = 1.5708$

And if you rotate the second region around the x axis you get that

$A_2 = \pi \int\limits_{1}^{2} (2-x)^2 dx = \frac{\pi}{3} = 1.0472$

And the sum would be 1.5708+1.0472 = 2.618

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4 years ago

Can someone help me with this problem?

Shalnov [3]

I got k ≥ -7. Hope this helps!

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4 years ago

You want to estimate the mean weight loss of people one year after using a popular weight-loss program being advertised on TV. H

maria [59]

Answer:

At least 6907 people.

Step-by-step explanation:

Population std deviation = sigma= 10.6

Since population std deviation is known, we can use normal probability table to get sample size from confidence interval.

The sample mean weight loss is within 0.25 lb of the true population mean.

Hence margin of error < 0.25

Margin of error = z critical (std dev/n) where n = sample size

Z critical for 95% = 1.96

Hence 0.25 >1.96(10.6)/sq rt n

Simplify to get

sq rt n > 1.96(10.6)/0.25 = 83.104

Square both the sides to get

n > 83.104 square = 6906.27

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3 years ago

Find the perimeter of the triangle defined by the coordinates (9, 0), (-5, 0), and (-10, 6). (Round to nearest tenth)

Masteriza [31]

The perimeter is 41.7

Find the length of each side using the distance formula:
$d=\sqrt{(0-0)^2+(-5-9)^2}=\sqrt{0^2+14^2}=\sqrt{196}=14
\\
\\d=\sqrt{(6-0)^2+(-10--5)^2}=\sqrt{6^2+(-5)^2}=\sqrt{36+25}=\sqrt{61}=7.8
\\
\\d=\sqrt{(6-0)^2+(-10-9)^2}=\sqrt{6^2+(-19)^2}=\sqrt{36+361}=\sqrt{397}=
\\19.9$

Adding the side lengths, we have
14+7.8+19.9=41.7

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3 years ago

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