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3 years ago

Need help on 5. 6. And 7. 7.c is (6+x)-8 7.d is 8-(6+x)

Mathematics

1 answer:

enyata [817]3 years ago

7 0

#7 is A
For # 5 & 6 is there a multiplication sign between the numbers or is supposed to be a power or something else?

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Under his cell phone plan, Bentley pays a flat cost of $64.50 per month and $4 per gigabyte. He wants to keep his bill at $78.90

Ira Lisetskai [31]

Answer:

3.6 gB

Step-by-step explanation:

You can think of this question in terms of the y = mx+b equation.

$78.90 is y because it is the total amount per month, $4 is m because it is the cost per gB, and $64.50 is b because it is the flat rate.

78.9 = 4x + 64.5

4x = 14.4

x = 3.6 gB of data (or 3 if it wants a whole number)

7 0

3 years ago

Step 1 5x- y= 4

valkas [14]

Answer: C, In Step 2 the expression for y should be subsituted in the other equation.

5 0

3 years ago

Amy is pulling a wagon with a force of 30 pounds up a hill at an angle of 25°. Give the force exerted on the wagon as a vector a

Fofino [41]

Answer:

Vector (ordered pair - rectangular form)

$\vec F = (27.189,12.679)\,[lbf]$

Vector (ordered pair - polar form)

$\vec F = (30\,lbf, 25^{\circ})$

Sum of vectorial components (linear combination)

$\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]$

Step-by-step explanation:

From statement we know that force exerted on the wagon has a magnitude of 30 pounds-force and an angle of 25° above the horizontal, which corresponds to the +x semiaxis, whereas the vertical is represented by the +y semiaxis.

The force ( $\vec F$ ), in pounds-force, can be modelled in two forms:

Vector (ordered pair - rectangular form)

$\vec F = \left(\|\vec F\|\cdot \cos \theta, \|\vec F\|\cdot \sin \theta\right)$ (1)

Vector (ordered pair - polar form)

$\vec F = \left(\|\vec F\|, \theta\right)$

Sum of vectorial components (linear combination)

$\vec {F} = \left(\|\vec F\|\cdot \cos \theta\right)\cdot \hat{i} + \left(\|\vec F\|\cdot \sin \theta \right)\cdot \hat{j}$ (2)

Where:

$\|\vec F\|$ - Norm of the vector force, in newtons.

$\theta$ - Direction of the vector force with regard to the horizontal, in sexagesimal degrees.

$\hat{i}$ , $\hat{j}$ - Orthogonal axes, no unit.

If we know that $\|\vec F\| = 30\,lbf$ and $\theta = 25^{\circ}$ , then the force exerted on the wagon is:

Vector (ordered pair - rectangular form)

$\vec F= \left(30\cdot \cos 25^{\circ}, 30\cdot \sin 25^{\circ}\right)\,[lbf]$

$\vec F = (27.189,12.679)\,[lbf]$

Vector (ordered pair - polar form)

$\vec F = (30\,lbf, 25^{\circ})$

Sum of vectorial components (linear combination)

$\vec F = (30\cdot \cos 25^{\circ})\cdot \hat{i} + (30\cdot \sin 25^{\circ})\cdot \hat{j}\,[N]$

$\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]$

8 0

2 years ago

5.349 round to the nearest tenth

soldi70 [24.7K]

5.4 because the 9 bumps it to 5.35.

And the 5 bumps it to 5.4.

6 0

3 years ago

Read 2 more answers

Nickel-63 has half-life of about 96 years. after 336 years,about how many milligrams of an 800 mg sample will remain?

vagabundo [1.1K]

F=ar^t if the half-life is 96 years...

.5=r^96

ln(.5)=96lnr

ln(.5)/96=lnr

r=e^((ln.5)/96)

f=800e^(336(ln.5)/96)

f=70.71

So about 71mg will remain after 336 years.

5 0

3 years ago

Read 2 more answers