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leva [86]
3 years ago
13

A cost center’s performance report does not include

Mathematics
1 answer:
Ymorist [56]3 years ago
7 0

Answer:

‎‎‎‎‎

Step-by-step explanation:

‎‎‎

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Choose all the statements that are true about this sequence.
siniylev [52]

This is an arithmetic sequence

The value of the 3rd term is 72

There are 4 terms in this sequence

The sequence starts at 60 and adds 6 repeatedly

8 0
3 years ago
Read 2 more answers
Eric found that about 62% of 80 classmates at school like hip-hop music. However, 70% of his 60 relatives like hip-hop.
Lera25 [3.4K]
<h2><u>Answer:</u></h2>

More classmates liked hip-hop than relatives.

<h2><u>Step-by-step explanation:</u></h2>
  • First, turn the percentages into decimals by dividing them by 100:

        62 ÷ 100 = 0.62

        70 ÷ 100 = 0.7

  • Then, multiply the amount of people by the decimals towork out how many people like hip-hop:        
  • CLASSMATES = 80 × 0.62 = 49.6 (0r 50 when rounded tp the nearest person)
  • RELATIVES = 60 × 0.7 = 42 people

  • As 50 is more than 42, this shows that <u>more classmates liked hip-hop than relatives</u>

       

4 0
3 years ago
Read 2 more answers
Find the solutions to x⁴-5x²-36=0 and the x-intercepts of the graph of y=x⁴-5x²-36.
disa [49]

Answer:

The solutions x^4-5x^2-36=0 are x=3,\:x=-3,\:x=2i,\:x=-2i and the x-intercepts of y=x^4-5x^2-36 are x=3,\:x=-3

Step-by-step explanation:

Finding the solutions to x^4-5x^2-36 means finding the roots, a root is where the function is equal to zero.

The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero.

To find the roots you need to:

Rewrite the equation with u=x^2 and u^2=x^4

u^2-5u-36=0

Solve by factoring

\mathrm{Break\:the\:expression\:into\:groups}\\u^2-5u-36=\left(u^2+4u\right)+\left(-9u-36\right)

\mathrm{Factor\:out\:}u\mathrm{\:from\:}u^2+4u=u\left(u+4\right)

\mathrm{Factor\:out\:}-9\mathrm{\:from\:}-9u-36=-9\left(u+4\right)

u^2-5u-36=u\left(u+4\right)-9\left(u+4\right)

\mathrm{Factor\:out\:common\:term\:}u+4\\\left(u+4\right)\left(u-9\right)

u^2-5u-36=\left(u+4\right)\left(u-9\right)=0

Using the Zero factor Theorem: if ab = 0 then a = 0 or b = 0 (or both a = 0 and b = 0)

The solutions to the quadratic equation are:

\:u=-4,\:u=9

Substitute back u=x^2, solve for x

x^4-5x^2-36=(u-9)(u+4)=(x^2-9)(x^2+4)

Apply the difference of squares formula

x^4-5x^2-36=(x^2-9)(x^2+4)=(x-3)(x+3)(x^2+4)

(x-3)(x+3)(x^2+4)=0

Using the Zero factor Theorem: if ab = 0 then a = 0 or b = 0 (or both a = 0 and b = 0)

The solutions are:

\:x=3,\:x=-3,\:x=2i,\:x=-2i

Because two of the solutions are complex roots the only x-intercepts are x=3,\:x=-3

3 0
4 years ago
Name a pair of alternate interior angles in the picture below.
AnnZ [28]
The line which crosses two lines  is known as transversal and the pair of angles are formed on the opposite side of transversal but inside the two lines, that pair of angles are known as alternate interior angles.
if we see the picture C, D, E and F are the angles that are interior angles and the pairs that forms alternate interior angles are C and F and the other one is D and E.
From the given options, option B is right option.
C and F are pair of alternate interior angles.
3 0
3 years ago
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Find the expression for the area of the figure. Give your answer as a simplified radical.
Marizza181 [45]

Answer:

D

Step-by-step explanation:

Area of rectangle= length × breadth

Area of figure

= ( \sqrt{15x}) ( \sqrt{10x} ) \\  =  \sqrt{(10x)(15x)}  \\  =  \sqrt{150 {x}^{2} }  \\  =  \sqrt{6(25 {x}^{2}) } \\  =  (\sqrt{6} )( \sqrt{( {5x})^{2} } ) \\  = ( \sqrt{6} )(5x) \\  = 5x \sqrt{6}

8 0
3 years ago
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