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3 years ago

Question:

Mathematics

1 answer:

aleksklad [387]3 years ago

4 0

Answer:

There are 10 blocks in a row (section). There are 6 rows (sections).

A. If each block has a value of one, what is the value for a section of blocks?

There are 10 blocks in a section. 10 * 1 = 10

B. What is the total value of all the blocks, write an equation?

There are 6 sections. There are 10 blocks in a section. 6 * 10 * 1 = 60

A. If each block has a value of ten, what is the value for a section of blocks?

There are 10 blocks in a section. 10 * 10 = 100

B. What is the total value of all the blocks, write an equation?

There are 6 sections. There are 10 blocks in a section. 60 * 10 * 10 = 600

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Mia and Melody made 38 bird feeders in 4 hours. The next day, they had more help and made 28 more bird feeders in the same amoun

mariarad [96]

<span>(38 + 28) / 4 = 16,5. A. 16.5 bird feeders per hour. </span>

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3 years ago

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A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 34.5 ft3. what dimensions

____ [38]

Answer:

$l \approx 3.3\,ft$ , $x = 3.2\,ft$

Step-by-step explanation:

The equations of volume and surface area are presented below:

$34.5 = l^{2}\cdot x$

$A_{s} = 2\cdot l^{2} + 4\cdot l \cdot x$

The length of the tank is:

$x = \frac{34.5}{l^{2}}$

The expression fo the surface area is therefore simplified into an univariable form:

$A_{s} = 2\cdot l^{2} + 4\cdot \left(\frac{34.5}{l} \right)$

$A_{s} = 2\cdot l^{2} + \frac{138}{l}$

The first and second derivatives of the expression are, respectively:

$A_{s}' = 4\cdot l -\frac{138}{l^{2}}$

$A_{s}'' = 4 +\frac{276}{l^{3}}$

The first derivative is equalized to zero and length of the square side is now found:

$4\cdot l -\frac{138}{l^{2}} = 0$

$4\cdot l^{3}-138 = 0$

$l^{3} = \frac{138}{4}$

$l = \sqrt[3]{\frac{138}{4} }$

$l \approx 3.3\,ft$

Now, the second derivative offers a criteria to determine if solution leads to an absolute minimum:

$A_{s}'' = 4 + \frac{276}{(3.3\,ft)^{3}}$

$A_{s}'' = 11.7$ (Absolute minimum)

The depth of the tank is:

$x = \frac{34.5\,ft^{3}}{(3.3\,ft)^{2}}$

$x = 3.2\,ft$

6 0

3 years ago

The data show systolic and diastolic blood pressure of certain people. Find the regression equation, letting the first variable

MakcuM [25]

Full Question:

The data show systolic and diastolic blood pressure of certain people. Find the regression equation, letting the first variable be the independent (x) variable. Find the best predicted diastolic pressure for a person with a systolic reading of 113. use a significance level of 0.05.

Systolic| 150 129 142 112 134 122 126 120

Diastolic| 88 96 106 80 98 63 95 64

a. What is the regression equation?

^y = __ + __x (Round to two decimal places as needed.)

b. What is the best predicted value?

^y is about __ (Round to one decimal place as needed.)

Answer:

A. yhat = a + bx = -10.64 + 0.75x

B. 74.0

Step-by-step explanation:

A. To find the regression equation here, we apply the formulas and then apply it to find the value of y given value of x:

calculate xbar and ybar which is the average of the variables:

Where n(number of values in x or y)=8

xbar = sum of x/n = 129.375

ybar = sum of y/n = 86.25

to calculate b

b= [Sum x^2 * Sum y - Sum x * Sum x*y] / [N*Sum x^2 - (Sum x)^2]

b = 0.74891

To calculate a

a = ybar - b * xbar = -10.64023

Regression equation:

y=mx+b= -10.64 + 0.75x

B. given x = 113,

y = -10.64023 + 0.74891 * 113

y= 74.0

5 0

3 years ago

How to write four-hundereths in standard form

tekilochka [14]

Answer:

0.04

Step-by-step explanation:

1 hundredth = 0.01 or 1/100

Four hundredths

4 × 0.01

0.04

6 0

4 years ago

Help please I’m literally desperate

ollegr [7]

Answer:

I think the answers are 9 and 18.

Step-by-step explanation:

i think this because 3 x 3 is 9 and 9 x 2 = 18 then add another 9 to get 27.

Have an amazing day!

Please rate!

4 0

3 years ago

Read 2 more answers