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3 years ago

8

Which number is a solution of the inequality? X+4<7

1 answer:

Svetradugi [14.3K]3 years ago

4 0

The answer for the last one at the bottom, 5x + 17 > = 7, the answer is D. x> = -2

For the 1st one up top, the answer is B. 3.

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In order for a button to fit through its buttonhole, the hole needs to be the size of the button's diameter. What size buttonhol

solong [7]

Formula for the circumference:
C = π d
Use the estimate of 3.14 for π: 9.42 = 3.14 d
Divide both sides by 3.14: d = 9.42 / 3.14 They have very conveniently given you a round number: d = 3 so your answer is A

8 0

3 years ago

We will now use energy considerations to find the speed of a falling object at impact. Artiom is on the roof replacing some shin

ohaa [14]

Answer:

v = 8.49 m/s rounded off to 3 significant figures

Step-by-step explanation

Using Energy Conservation

U = Tk + Vp (Sum of kinetic Tk Energy and gravitational potential Vp Energy)

At height = 3.67 m, the hammer was still or the velocity was negligible; hence, vi = 0 m/s.
Ui = 0 + mgh
At ground all potential energy is converted to kinetic; hence, Uf = $\frac{1}{2}$ mv².
Since total energy of the system remains constant we equate Ui to Uf.
Ui = Uf
mgh = $\frac{1}{2}$ mv²
After cancelling out masses and making v the subject of the formula we get:

v = $\sqrt[2]{2gh}$ = $\sqrt[2]{2*9.81*3.67}$ = 8.49 m/s rounded off to 3 significant figures

3 0

3 years ago

In the rhombus m1 = 10x, m2 = x + y, m3 = 18z. Find the value of each variable

Blababa [14]

I think the question is missing some details. I found a similar question with an image as i attached in this question.

From this image, it its clear that m1, m2 and m3 refers to the angles in the middle of the rhombus

Answer:

x = 9

y = 81

z = 5

Step-by-step explanation:

Note that in rhombus, all sides are the same. If the diagonal lines are made, it will create 4 division of angles of 90 degrees.

Therefore m1 = m2 = m3 = 90 degrees

m1 = 10x and m1 =90

So, 10x = 90. Rearrange it to get x = 90/10 = 9

x = 9

m2 = x + y and m2 = 90

So, x + y = 90

9 + y = 90

y = 90 - 9 = 81

m3 = 18z and m3 = 90

So, 18z = 90

z = 90/18 = 5

3 0

3 years ago

A solution set always includes

valentina_108 [34]

Answer:

D negative infinty

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

solve the given matrix equation for X. Simplify your answers as much as possible. (In the words of Albert Einstein, "Everything

vova2212 [387]

a.

$XA^{-1}=A^3$

$(XA^{-1})A=A^3A$

$X(A^{-1}A)=A^4$

$X=A^4$

b.

$AXB=(BA)^2$

$A^{-1}(AXB)B^{-1}=A^{-1}(BA)^2B^{-1}$

$(A^{-1}A)X(BB^{-1})=A^{-1}(BA)^2B^{-1}$

$X=A^{-1}(BA)^2B^{-1}$

c.

$(A^{-1}X)^{-1}=(AB^{-1})^{-1}(AB^2)$

$X^{-1}A=(BA^{-1})(AB^2)$

$X^{-1}A=B(A^{-1}A)B^2$

$X^{-1}A=B^3$

$(XX^{-1})A=XB^3$

$XB^3=A$

$X(B^3(B^3)^{-1})=A(B^3)^{-1}$

$X=A(B^3)^{-1}$

d. Not totally sure what the equation is supposed to be, but I guess it's

$ABXA^{-1}B^{-1}=A$

$ABX(BA)^{-1}=A$

$((AB)^{-1}(AB))X((BA)^{-1}(BA))=(AB)^{-1}A(BA)$

$X=(AB)^{-1}A(BA)$

$X=(B^{-1}A^{-1})A(BA)$

$X=B^{-1}(A^{-1}A)(BA)$

$X=(B^{-1}B)A$

$X=A$

7 0

3 years ago