EXPERTS/ACE/GENIUSES

Jaelyn works 6 hours per day on Thursday, Friday and Saturdays each week. She

VladimirAG [237]

Answer:

1,363.5

Step-by-step explanation:

$15.15 ×6 =90.9(for Thu,Fri,sat)

15.15×24=363.6(for other days)

90.9×3=272.7(total for Thursday, Friday and Saturdays)

363.6× 3( include other days like Monday Tuesday and Wednesday)

1,090.8

therefore total for 6hours days and full days

1,090.8+272.7=1,363.5

7 0

2 years ago

19) Find the acros F(x) = x4 + 8x? -

Yuri [45]

Answer:

F'(x)=4x3+16x

Step-by-step explanation:

6 0

2 years ago

Shannon burns 46 calories each hour while sleeping. When she plays basketball, she burns 11 times as many calories as she does w

OLga [1]

Answer: 1012 calories

Step-by-step explanation:

Shannon burns 46 calories each hour while sleeping.

When she plays basketball, she burns 11 times as many calories as she does when sleeping. The amount of calories burnt when she plays basketball will be:

= 11 × 46

= 506 calories

She burns twice as many calories each hour when she runs than when she plays basketball. The amount of calories burnt when she runs will be:

= 2 × 506 calories

= 1012 calories

The amount of calories that Shannon burn when she runs for 1 hour will be 1012 calories

6 0

3 years ago

What is the most precise name for a quadrilateral with the following vertices:

lozanna [386]

Answer:

The most precise name for a quadrilateral ABCD is a parallelogram

Step-by-step explanation:

we have

A(2,3) B(7,2) C(6,-1) D(1,0)

Plot the quadrilateral'

using a graphing tool

The quadrilateral ABCD in the attached figure

Verify the length of the sides

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find distance AB

A(2,3) B(7,2)

substitute

$d=\sqrt{(2-3)^{2}+(7-2)^{2}}$

$d=\sqrt{(-1)^{2}+(5)^{2}}$

$d_A_B=\sqrt{26}\ units$

step 2

Find distance BC

B(7,2) C(6,-1)

substitute

$d=\sqrt{(-1-2)^{2}+(6-7)^{2}}$

$d=\sqrt{(-3)^{2}+(-1)^{2}}$

$d_B_C=\sqrt{10}\ units$

step 3

Find distance CD

C(6,-1) D(1,0)

substitute

$d=\sqrt{(0+1)^{2}+(1-6)^{2}}$

$d=\sqrt{(1)^{2}+(-5)^{2}}$

$d_C_D=\sqrt{26}\ units$

step 4

Find distance AD

A(2,3) D(1,0)

substitute

$d=\sqrt{(0-3)^{2}+(1-2)^{2}}$

$d=\sqrt{(-3)^{2}+(-1)^{2}}$

$d_A_D=\sqrt{10}\ units$

step 5

Compare the length sides

AB=CD

BC=AD

Opposite sides are congruent

<em>Verify the slope of the sides</em>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find slope AB

A(2,3) B(7,2)

substitute

$m=\frac{2-3}{7-2}$

$m=\frac{-1}{5}$

$m_A_B=-\frac{1}{5}$

step 2

Find slope BC

B(7,2) C(6,-1)

substitute

$m=\frac{-1-2}{6-7}$

$m=\frac{-3}{-1}$

$m_B_C=3$

step 3

Find slope CD

C(6,-1) D(1,0)

substitute

$m=\frac{0+1}{1-6}$

$m=\frac{1}{-5}$

$m_C_D=-\frac{1}{5}$

step 4

Find slope AD

A(2,3) D(1,0)

substitute

$m=\frac{0-3}{1-2}$

$m=\frac{-3}{-1}$

$m_A_D=3$

step 5

Compare the slopes

$m_A_B=m_C_D$

$m_B_C=m_A_D$

The slope of the opposite sides are equal, that means, opposite sides are parallel

The slopes of consecutive sides are not opposite reciprocal, that means, consecutive sides are not perpendicular

therefore

The most precise name for a quadrilateral ABCD is a parallelogram

8 0

3 years ago

Simplify the expression. Explain each step 2 + (5 + y)

Inessa [10]

Answer:

7y

Step-by-step explanation:

2+(5+y)

2+5y

=7y.............

6 0

3 years ago