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suter [353]
3 years ago
12

Help please!!! Solve 49^ x = 7

Mathematics
2 answers:
Maru [420]3 years ago
7 0

The variable <em>x </em>is equal to 0.5

zzz [600]3 years ago
3 0
49^x=7

make bases same

{(7)^2}^x=(7)^1

(7)^2x=(7)^2

bases are same so powers are equal

2x=1
x=1/2
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What does the point (1994, 400) on the graph represent?
yuradex [85]

Answer: There are 400 tadpoles in the year 1994.

This is because any point is of the form (x,y) where in this case

x = year number

y = tadpole population number

So (x,y) = (1994, 400) means x = 1994 and y = 400 pair up together.

In short, the year x = 1994 corresponds to the population of y = 400 tadpoles.

From the years 1990 to 1992, the population is increasing since the curve goes upward when moving from left to right. Then from 1992 to 1993, the population decreases hitting its lowest point in that specific region. From 1993 to 1997, the population increases before it decreases again from 1997 to 1999.

5 0
3 years ago
6c - (3 – 3c) = 24<br> Solve equation step by step
kap26 [50]

Hi there! :)

\large\boxed{c = 3}

6c - (3 - 3c) = 24

Distribute the negative sign with terms inside the parenthesis;

6c - (3) - (-3c) = 24

6c - 3 + 3c = 24

Combine like terms:

9c - 3 = 24

Add 3 to both sides:

9c = 27

Divide both sides by 9:

c = 3.

7 0
2 years ago
Read 2 more answers
A gift bag is shaped like a rectangular prism and has a volume of 1152 cubic inches. The width of the bag is w, the length is 2w
Dafna11 [192]
1. You must use the formula for calculate the volume of a rectangular prism, which is:

 V=(h)(l)(w)

 V: It is the volumen of the rectangular prism (V=1152 inches³).
 h: It is the height of the rectangular prism (h=18-w).
 l:It is the lenght of the rectangular prism (l=2w+4).

 2. When you substitute these calues into the formula, you obtain:

 V=(h)(l)(w)
 1152=(18-w)(2w+4)(w)
 (18-w)(2w+4)(w)-1152=0

 3. Then, you should mutiply them:

 36w²-2w³+72w-4w²-1152=0
 32w²-2w³+72w-1152=0

 4. When you factor, you obtain:

 2(w-16)(w-6)(w+6)

 w1=16
 w2=6
 w3=-6

 5. The problem says that the height is greater than the width, therefore, the widht is:

 w=6 inches

 6. The length is:

 l=2w+4
 l=2(6)+4
 l=16 inches

 7. And the height is:

 h=18-w
 h=18-6
 h=12 inches

 What are the dimensions of the bag?

 The dimensions of the bag are:

 l=16 inches
 h=12 inches
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8 0
3 years ago
Can any negative integer be greater than a positive integer explain
Keith_Richards [23]

No, it is impossible. Intuitively, a negative number sits at the left of 0 on the number line, and a positive number sits at the right of 0 on the number line. And a number x is greater than another number y if x sits at the right of y on the number line. So, every positive number is greater than any negative number.

Also, by definition, a positive number is greater than 0, and a negative number is smaller than zero. So, if x is positive and y is negative, you have

y < 0 < x

and since the relation of order "<" is transitive, this implies

y < x

5 0
3 years ago
How to find trigonomic ratio ​
ycow [4]

Answer:divide the opposite sides, by the length of the hypotenuse. To get the cosine, divide the length of the adjacent side,by the length of the hypotenuse.

Step-by-step explanation:

divide the opposite sides, by the length of the hypotenuse. To get the cosine, divide the length of the adjacent side,by the length of the hypotenuse.

7 0
3 years ago
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