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3 years ago

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Mathematics

2 answers:

Nitella [24]3 years ago

5 0

The answer is protractor 17 inc

Degger [83]3 years ago

3 0

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g(x)=−20−3x h(x)=( 2 1 ) x Evaluate. (g\circ h) (-2)=(g∘h)(−2)=left parenthesis, g, circle, h, right parenthesis, left par

malfutka [58]

Answer:

ion

Step-by-step explanation:

6 0

2 years ago

An artist wants to make alabaster pyramids using a block of alabaster with a volume of 576 cubic inches. She plans to make each

marta [7]

Answer:

144 pyramids

Step-by-step explanation:

The volume of a pyramid = 1/3*base area * height

Given: Base area = 3 sq.inches

Height = 4 inches

Volume of each pyramid = 1/3*3*4

= 4 cube inches.

To find the number pyramids can the artist make from block of alabaster artist, we need to divide 576 by 4.

= 576/4

= 144

Therefore, the artist can make 144 pyramids.

Thank you.

6 0

3 years ago

Read 2 more answers

What is the sum of the prime factors of the number 330?

Elena L [17]

Answer:

Step-by-step explanation:

prim factors: 2, 3, 5, and 11

3 0

2 years ago

The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 60 o

Gala2k [10]

Answer:

Step-by-step explanation:

Given that the Acme Company manufactures widgets, which have a mean of 60 ounces and a standard deviation of 7 ounces

We know that 95% of the area lie between -2 and 2 std deviations from the mean.

i.e. Probability for lying in the middle of 95%

Z score $(60+7(-2), 60+7(2))\\=(46, 74)$

Between 46 and 74 oz.

b) Between 12 and 57

convert into Z score

$(\frac{12-60}{7}$

P(-6.86<z<-0.43)

=0.5-0.1664=0.3336

c) X<30 gives Z<-4.83

i.e. P(X<30) =0.00

3 0

3 years ago

Find the slope of each line and then determine if the lines are parallel, perpendicular or neither. If a value is not an integer

Aleonysh [2.5K]

As given by the question

There are given that the point of two-line

$\begin{gathered} (1,\text{ 7) and (5, 5)} \\ (-1,\text{ -3) and (1, 1)} \end{gathered}$

Now,

From the condition of a parallel and perpendicular line

If the slopes are equal then the lines are parallel

If the slopes are negative reciprocal then the lines are perpendicular

If the slopes are neither of the above are true then lines are neither

Then,

First, find the slope of both of line

So,

For first-line, from the formula of slope

$\begin{gathered} m_1=\frac{y_2-y_1}{x_2-x_1} \\ m_1=\frac{5_{}-7_{}}{5_{}-1_{}} \\ m_1=-\frac{2}{4} \\ m_1=-\frac{1}{2} \end{gathered}$

Now,

For second-line,

$\begin{gathered} m_1=\frac{y_2-y_1}{x_2-x_1} \\ m_1=\frac{1_{}-(-3)_{}}{1-(-1)_{}} \\ m_1=\frac{4}{2} \\ m_1=2 \end{gathered}$

The given result of the slope is negative reciprocal because

$\begin{gathered} -\frac{1}{2}=-(-\frac{2}{1}) \\ -\frac{1}{2}=2 \end{gathered}$

Hence, the slope of line1 is -1/2, and slope of line2 is 2 and the lines are perpendicular.

5 0

1 year ago

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