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3 years ago

What is the constant of the expression? 5x−2y+2.4

2 answers:

6 0

The correct answer is the 2.4

The constant in an equation is the number(s) that don't have variables.

This is because variables can change the number they are attached to, making them not constant.

Hope this helps!

solong [7]3 years ago

6 0

The 2.4 is the constant, because that number will never change. You don't know x or y yet, and those will change once you find those variables.

Hope this helped:)

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Mr. Drew wants to build a square sandbox for his children. The area of the sandbox will be 70 ft squared . To the nearest tenth

ziro4ka [17]

Answer:

Mr. Drew needs 167.3 ft of wood

Step-by-step explanation:

we know that

The area of a square is

$A=b^{2}$

where

b is the length side of the square

we have

$A=70\ ft^2$

substitute in the formula and solve for b

$70=b^{2}$

square root both sides

$b=\sqrt{70}\ ft$

To determine the total length of wood , calculate the perimeter of the sandbox

The perimeter of the sandbox is equal to the perimeter of 5 squares

$P=5(4b)$

substitute the value of b

$P=5(4(\sqrt{70}))=167.3\ ft$

therefore

Mr. Drew needs 167.3 ft of wood

7 0

3 years ago

Find a unit vector that has the same direction as the given vector. 8i ? j + 4k

e-lub [12.9K]

Answer with Step-by-step explanation:

a.Let given vector

a=8i-j+4k

$\mid a\mid=\sqrt{(8)^2+(-1)^2+(4)^2}=9$

By using the formula

Magnitude of a vector= $\sqrt{x^2+y^2+z^2}$

Where x=Coefficient of i

y=Coefficient of j

z=Coefficient of k

Unit vector= $\hat{a}=\frac{a}{\mid a\mid}$

By using the formula

The unit vector= $\hat{a}=\frac{8i-j+4k}{9}=\frac{8}{9}i-\frac{1}{9}j+\frac{4}{9}k$

b.Let vector b=-2i+4j+2k

$\mid b\mid=\sqrt{(-2)^2+4^2+2^2}=2\sqrt 6$

$\hat{b}=\frac{-2i+4j+2k}{2\sqrt 6}$

Length of vector=6

Therefore, the vector in the direction of <-2,4,2> with length 6 is given by = $6\hat{b}=6\times \frac{-2i+4j+2k}{2\sqrt 6}$

The vector in the direction of <-2,4,2> with length 6 is given by = $-\sqrt 6(-i+2j+k)$

c. $\theta=\frac{\pi}{3}$

$\mid v\mid=8$

Let v= $v_x i+v_y j$

$v_x=\mid v\mid cos\theta$

$v_x=8cos\frac{\pi}{3}=8\times \frac{1}{2}=4$

$cos\frac{\pi}{3}=\frac{1}{2}$

$v_y=\mid v\mid sin\theta$

$v_y=8\times sin\frac{\pi}{3}=8\times \frac{\sqrt 3}{2}=4\sqrt 3$

$sin\frac{\pi}{3}=\frac{\sqrt 3}{2}$

Therefore, the vector v in component form= $4i+4\sqrt 3j$

7 0

3 years ago

What is ( 2 ^8 x 5^-5 x 19^0) ^-2 x ( 5^-2 / 2^3 ) ^4 x 2^28

Lera25 [3.4K]

(2^8x5^-5x19^0)^-2 x (5^-2/2^3)^4 x 2^28

(256x0.00032x1)^-2 x (0.04/8)^4 x 2^28

0.08192^-2 x 0.005^4 x 268,435,456

149.0116119384766 x 0.000000000625 x 268,435,456

0.000000093132257 x 268,435,456

= 25

7 0

3 years ago

if someone wants to buy something that costs $750.000 and it’s 35% off, how much does it costs after the discount?

Serggg [28]

Answer:487.5

Step-by-step explanation:

if it is a 35% discount it means you are trying to find 65% of the number because 65+35=100%

to find 65%, you find 5% first, then multiply by 13 to get 65%.

to find 5%, you divide by 20.

750/20=37.5.

37.5*13=487.5

7 0

2 years ago

13. The rate of ascent for the Discovery space shuttle is 114km in 8.5 minutes

kari74 [83]

Answer: 13.4km/min

Step-by-step explanation:

Speed in km/minutes will be calculatedby rate divided by time= 114/8.5

=13.4km/min

8 0

3 years ago

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