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sergejj [24]
3 years ago
9

The diagram shows a square-based cuboid.

Mathematics
1 answer:
ale4655 [162]3 years ago
5 0

Answer:

400 cubic cm

Step-by-step explanation:

Given that base is square and is side is 10 cm

area of square is given by side^2

Thus, area of base of cuboid  = 10^2 square cm = 100 sq. cm

We know volume for any cuboid is area of base * height

height is 4cm

thus, volume of cuboid = area of base of cuboid * height

                                     = 100 * 4 cubic cm = 400 cubic cm

Volume of cuboid is 400 cubic cm.

Unit is cubic cm

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Be sure to explain your answer<br>as clear as possible.
vekshin1
Positive exponent? An index would imply that the base, x, had a fractional exponent.

My Dear Aunt Sally used to say, "If there's a negative exponent in your face, then flip your base!"

In other words, if the exponent is negative, take the reciprocal of the base, x → \frac{1}{x} and change the exponent to positive.

Therefore:   x^{-3} = \frac{1}{x^3}

I have cross the fraction bar line change the exponent sign.
4 0
4 years ago
Guysss plsss HEELPPP ME ILL MARK BRAINLIEST PLLLSSSSSS HELP
Vitek1552 [10]

Answer:

y=-2\,(x-6)^2+246

with the video game cost of x = $6

This agrees with the last option in the list of possible answers

Step-by-step explanation:

Recall that the maximum of a parabola resides at its vertex. So let's find the x and y position of that vertex, by using first the fact that the x value of the vertex of a parabola of general form:

y=ax^2+bx+c

is given by:

x_{vertex}=\frac{-b}{2\,a}

In our case, the quadratic expression that generates the parabola is:

y=-2x^2+24x+174

then the x-position of its vertex is:

x_{vertex}=\frac{-b}{2\,a}\\x_{vertex}=\frac{-24}{2\,(-2)}\\x_{vertex}=\frac{-24}{-4)}\\x_{vertex}=6

This is the price of the video game that produces the maximum profit (x = $6). Now let's find the y-position of the vertex using the actual equation for this value of x:

y=-2x^2+24x+174\\y_{vertex}=-2\,(6)^2+24\,(6)+174\\y_{vertex}=-72+144+174\\y_{vertex}=246

This value is the highest weekly profit (y = $246).

Now, recall that we can write the equation of the parabola in what is called "vertex form" using the actual values of the vertex position (x_{vertex},y_{vertex}):

y-y_{vertex}=a\,(x-x_{vertex})^2\\y-246=-2\,(x-6)^2\\y=-2\,(x-6)^2+246

Therefore the answer is:

y=-2\,(x-6)^2+246

with the video game cost of x = $6

6 0
3 years ago
A researcher surveyed 150 high school students and found that 68% played a musical insturment. What would be a reasonable range
maria [59]

Answer:

The reasonable range for the population mean is (61%, 75%).

Step-by-step explanation:

The interval estimate of a population parameter is an interval of values that consist of the values within which the true value of the parameter lies with a certain probability.

The mean of the sampling distribution of sample proportion is, \hat p.

One of the best interval estimate of population proportion is the 95% confidence interval for proportion,

CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

Given:

n = 150

\hat p = 0.68

The critical value of <em>z</em> for 95% confidence level is:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

Compute the 95% confidence interval for proportion as follows:

CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

     =0.68\pm1.96\sqrt{\frac{0.68(1-0.68)}{150}}\\\\=0.68\pm 0.0747\\\\=(0.6053, 0.7547)\\\\\approx (0.61, 0.75)

Thus, the reasonable range for the population mean is (61%, 75%).

5 0
4 years ago
A merchant travels with 269 pounds of silver goods, 167 pounds of fruit, and 51 pounds of herbs, but only has 11 camels to carry
AURORKA [14]

Answer: The number of pounds each camel have to carry=44 pounds

The pounds of goods left=3 pounds


Step-by-step explanation:

The total pounds of goods the merchant have=269+167+51

=487 pounds

The total number of camels the merchant have = 11

If each camel carry same weight of goods, then we divide total weight by 11, we get

487÷11=44.27

The number of pounds each camel have to carry=44 pounds

The pounds of goods left=487-44×11=487-484=3 pounds

7 0
4 years ago
A. Describe the three ways in which two lines may be related
nignag [31]
I think a and c. I really don’t know tho
4 0
3 years ago
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