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NARA [144]
3 years ago
12

7^x=4 “Identify the closest integer value to X.”

Mathematics
1 answer:
vova2212 [387]3 years ago
7 0

Answer:

X=1

Step-by-step explanation:

X is supposed to be a constant number if i understand the question right the ^ is supposed to symbolised a gap so it is 7 + ^ +1 how the question is written is not based to standard acedemic level it would rather be something like the following

2x+2≤1

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An inner city revitalization zone is a rectangle that is twice as long as it is wide. The width of the region is growing at a ra
Ket [755]

Answer:

The area is changing at the point of  \mathbf{61200 m^2/year}

Step-by-step explanation:

From the given information:

Let's recall from our previous knowledge that the formula for finding the area of a rectangle = L × w

where;

L = length and w = width of the rectangle

Suppose the Length L is twice the width w

Then L = 2w --- (1)

From The area of a rectangle

A = L  × w

A = 2w  × w

A = 2w²

Taking the above differentiating with respect to time

\dfrac{dA}{dt }= 4w \times  \dfrac{dw}{dt} --- (2)

At the time t

\dfrac{dw}{dt}= 34 m \ per \ year ; w = 450 \ m

Replacing the values back into equation 2, we get:

\dfrac{dA}{dt }= 4 \times 450 \times 34

\mathbf{\dfrac{dA}{dt }= 61200 m^2/year}

7 0
3 years ago
the length of th hypotenuse of a 30,-60,-90 triangle is 22 meters. Find the length of the side opposite of the 30 angle
vladimir2022 [97]
The hypotenuse of the triangle is 2x
the one opposite of 30 is x
and the one opposite of 60 is sqrt(3)*x
since x=11, the side is 11
8 0
3 years ago
Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 4 and a horizontal side of 10. The ot
miskamm [114]
No, <span>hypotenuses of these two triangles won't lie along the same line </span><span>because one is larger than the other
</span><span>
In short, Your Answer would be Option B

Hope this helps!</span>
8 0
3 years ago
A newsletter publisher believes that 49% of their readers own a personal computer. A testing firm believes this is inaccurate an
Anettt [7]

Answer:

The conclusion regarding the publisher's claim is that the 49% of their readers  own a personal computer.

Step-by-step explanation:

The null hypothesis is always opposite of the claim . If the null hypothesis is rejected it means the claim is accepted.

The alternate hypothesis ( claim) is

Ha: u = 0.49

The null hypothesis  is

H0 : u ≠ 0.49

The null hypothesis is rejected. The claim is accepted.

The claim ( alternate hypothesis ) was the newsletter publisher believe which is accepted.

The conclusion is drawn that the newsletter publisher was accurate that 49% of their readers  own a personal computer.

4 0
3 years ago
Section 5.2 Problem 17:
Elina [12.6K]

This DE has characteristic equation

4r^2 - 12r + 9r = (2r - 3)^2 = 0

with a repeated root at r = 3/2. Then the characteristic solution is

y_c = C_1 e^{\frac32 x} + C_2 x e^{\frac32 x}

which has derivative

{y_c}' = \dfrac{3C_1}2 e^{\frac32 x} + \dfrac{3C_2}2 x e^{\frac32x} + C_2 e^{\frac32 x}

Use the given initial conditions to solve for the constants:

y(0) = 3 \implies 3 = C_1

y'(0) = \dfrac52 \implies \dfrac52 = \dfrac{3C_1}2 + C_2 \implies C_2 = -2

and so the particular solution to the IVP is

\boxed{y(x) = 3 e^{\frac32 x} - 2 x e^{\frac32 x}}

8 0
2 years ago
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