Solve: 3^x+1 + 3^x= 108
Answer:
x = 3
Step-by-step explanation:
[tex] {3}^{(x + 1)} + {3}^{x} = 108 \\ \\ {3}^{x} .3 + {3}^{x} = 108 \\ \\ {3}^{x} (3 + 1) = 108 \\ \\ {3}^{x} (4 )= 108 \\ \\ {3}^{x} = \frac{108}{4} \\ \\ {3}^{x} = 27 \\ \\ {3}^{x} = {3}^{3} \\ \\ \implies x = 3[/tex]
Solve for X!!! i neeed help
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Answer:
x=5
Step-by-step explanation:
All we have to do for this equation is cross multiply. This means we multiply 7 and 5 together and 5 and x+2 together. This will make the equation 35=5(x+2). Simplify this to get 35=5x+10. Subtract 10 from both sides to get 5x=25. You want to isolate x so you have to divide both sides by 5. This will make the equation x=5.
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the perimeter of the rectangular window glass is 26 dm. if the area is 36 sq dm, what are the dimensions of the window glass?
Answer:
w = 4 and l = 9 or
l = 4 and w = 9
Step-by-step explanation:
let l = length
let w = width
2l + 2w = 26
lw = 36
l = 36/w
2(36/w) + 2w = 26
72/w + 2w = 26
(72 + 2w²) ÷ w = 26
cross-multiply:
2w² + 72 = 26w
2w² - 26w + 72 = 0
factor:
2(w² - 13w + 36) = 0
2(w - 4)(w - 9) = 0
w = 4 and l = 9 or vice versa
The triangles below are similar. Find the length and round to the nearest tenth if necessary.
Answer:
x=48
Step-by-step explanation:
You start with the values of 4 and 16. Figure out how many times 4 goes into 16, which is 4. (4*4=16)
Now, since 4 is multiplied by itself to reach the value of 16, 12 will also be multiplied by 4 to give you the value of x.
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True or false: 12 + 18 is equivalent to 6(2+3).
Answer: True
Step-by-step explanation:
find the difference between 0.1 kg and 75g
Answer:
25 g
Step-by-step explanation:
0.1 kg can be written as 100 grams
& 75 g
while 1 kg is 1000 grams
so difference:-
(100- 75 ) grams
= 25 g
The difference between 0.1 kg and 75 g is 25 grams. To find the difference between 0.1 kg and 75g, you need to make sure both quantities have the same unit.
Since 1 kg is equal to 1000 g, you can convert 0.1 kg to grams:
0.1 kg = 0.1 * 1000 g = 100 g
Now, the two quantities are in the same unit:
0.1 kg - 75 g = 100 g - 75 g = 25 g
So, the difference between 0.1 kg and 75 g is 25 grams.
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160% of what number 56?
Answer:
160% of 35 is 56.
Step-by-step explanation:
[tex]\frac{56}{y} :\frac{160}{100}[/tex]
y · 160 = 56 · 100
160y = 5600
160y ÷ 160 = 5600 ÷ 160
y = 35
900% of what number is 7,470
Answer:
830
Step-by-step explanation:
7470/9 = 830
Answer:
900% of 7470=67230
Step-by-step explanation:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 7470 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 7470 is 100%, so we can write it down as 7470=100%.
4. We know, that x is 900% of the output value, so we can write it down as x=900%.
5. Now we have two simple equations:
1) 7470=100%
2) x=900%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
7470/x=100%/900%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 900% of 7470
7470/x=100/900
(7470/x)*x=(100/900)*x - we multiply both sides of the equation by x
7470=0.11111111111111*x - we divide both sides of the equation by (0.11111111111111) to get x
7470/0.11111111111111=x
67230=x
x=67230
now we have:
900% of 7470=67230
Use systems of linear equations solve x+2y=4
Must include;
Step to solve problem
Answer: y=2-2x
Step-by-step explanation:
What are the square roots of 100?
Answer:
10 and -10.
Step-by-step explanation:
10 * 10 = 100
-10 * -10 = 100.
Help me I don’t understand I’m very confused
Answer:
5 meters
Step-by-step explanation:
What is the distance between (2, 5) and (2, -7)?
Question 1 options:
2
5
12
14
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
You went out to dinner with your friends. You are going to leave an 18% tip; how much money should you leave if the bill is $36.00? Include the tip and the food cost. You will pay $
6m-8=16 solve plssssssss!!!!
From a standard deck of cards, your first draw is a black card. You replace the card, and the second draw is a diamond. Which THREE statements are correct for the outcome of the event? A) The probability of drawing the black card is 1/2 B) The probability of drawing the diamond is 1/4 C)The probability of the compound event is 1/6 D) The probability of the compound event is 1/8 E) The probability of the compound event is 3/4
Darell made a scale drawing if a house its lot he used the scale 1 inch: 9 feet in the drawing the backyard is 5inches wide what is the width of the actual yard
Answer:
Your answer is 45
Step-by-step explanation:
Hope this helps! :D
Zoe compares the price of a sweatshirt at two stores. At Store A, the sweatshirt costs $25. A friend told her that the sweatshirt costs 30% more at Store B.
Zoe wrote the expression 25+0.3(25) to find the price of the sweatshirt at Store B.
Which equivalent expression could she also use to find the price of the sweatshirt at Store B?
A) (1+0.3)25
B) (1−0.3)25
C) 1+0.3(25)
D) 25 + 0.3
Answer:
A) (1+0.3)25
Explanation:
Zoe's expression 25+0.3(25) equals to 32.5. So the only expression that equals to 32.5 is A) (1+0.3)25.
f(x) = x^2. what is g(x)?
Please help, im stuck and this is due in 10 minutes.
Plz help me well mark brainliest if you are correct!!
Answer:
B) 35°
Step-by-step explanation:
12.00P.M.= 85°
8.00A.M.= 50°
=85-50
=35°
There are 4 trucks for every 5 cars in a parking lot. How many trucks and cars could be in the parking lot?
Answer:
This depends on how many cars or trucks there are, but there could be 8 trucks when there is 10 cars, or 20 trucks when there is 25 cars.
Eight eagle stamps and two raccoon stamps cost $2.80. Three eagle stamps and four raccoon stamps cost $2.35. Find the cost of each kind of stamp
Show work please
Answer:
Cost of each eagle stamp = $0.25
Cost of each racoon stamp = $0.4
Step-by-step explanation:
Given:
Cost of 8 eagle stamp and 2 racoon stamp = $2.80
Cost of 3 eagle stamp and 4 racoon stamp = $2.35
Find:
Cost of each stamp
Computation:
Assume;
Cost of each eagle stamp = e
Cost of each racoon stamp = r
So,
8e + 2r = 2.80........... Eq 1
3e + 4r = 2.35 ........... Eq 2
Eq 1 x 2
16e + 4r = 5.6 .........Eq3
Eq 3 - Eq 2
13e = 3.25
e = 0.25
Cost of each eagle stamp = $0.25
8e + 2r = 2.80
8(0.25) + 2r = 2.80
2 + 2r = 2.80
r = 0.4
Cost of each racoon stamp = $0.4
Combine like terms to create an equivalent expression: 6.7+3.5x+3.3-4.7x
Step-by-step explanation:
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Evaluate the following expression if x= 2.14
3.35x + 25 - 2x
Answer:
The final answer is 27.889 (Feel free to round it)
Step-by-step explanation:
3.35 x 2.14 = 7.169
7.169 + 25 = 32.169
2 x 2.14 = 4.28
32.169 - 4.28 = 27.889
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
A carpenter is building a rectangular deck. The deck should have a width, f(x), to length, g(x), ratio of 2 to 3. The area of the deck is represented by the function h(x). Complete the table with the missing side lengths and areas of the deck.
Answer:
1. 6
2. 6
3. 10
4. 600
Step-by-step explanation:
edg :)
The complete table is given below.
x f(x) g(x) h(x)
1 2 3 6
2 4 6 24
5 10 15 150
10 20 30 600
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
A carpenter is building a rectangular deck. The deck should have a width, f(x), to length, g(x), and a ratio of 2 to 3. The area of the deck is represented by the function h(x).
The functions are given below.
f(x) = 2x
g(x) = 3x
h(x) = f(x) × g(x) = 6x²
Complete the table with the missing side lengths and areas of the deck.
x f(x) g(x) h(x)
1 2 3 6
2 4 6 24
5 10 15 150
10 20 30 600
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Which equation in rectangular form describes the parametric equations x=2-3 cos t and y=1+4 sin t?
Answer:
The parametric equations represents an ellipse by the rectangular equation [tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex].
Step-by-step explanation:
We proceed to use the following trigonometric identity to derive an expression in rectangular form:
[tex]\cos^{2} t + \sin^{2} t = 1[/tex] (1)
Where:
[tex]\cos t = \frac{2-x}{3}[/tex] and [tex]\sin t = \frac{y-1}{4}[/tex]
Then, we expand the expression as follows:
[tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex] (2)
The parametric equations represents an ellipse by the rectangular equation [tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex].
In each of the following equations, find all the integers x satisfying the equation:
a. | x-20 | = 20
b. | x | + 7 = 16
c. | 15x | = | -15x |
Answer:
b
Step-by-step explanation:
what is the answer to 3(x-2)+15=-3(x-3)
i will give brainliest
Answer:
x = 0
Step-by-step explanation:
3(x - 2) + 15= -3(x - 3)
3x - 6 + 15 = -3x + 9
3x + 9 = -3x + 9
3x + 3x = 9 - 9
6x = 0
x = 0
If the radius of a cylinder is 3 centimeters and the height of the cylinder is 4 centimeters, then the area of the lateral surface is 75.36 square centimeters. True False
Answer:
True
Step-by-step explanation:
The Answer is 75.36 cm
2 x (pi)3.14 = 6.28
6.28 x (r)3 = 18.84
18.84 x (h)4 = 75.36
The statement, "If the radius of a cylinder is 3 centimeters and the height of the cylinder is 4 centimeters, then the area of the lateral surface is 75.36 square centimeters." is true.
What is cylinder?"A cylinder is a three-dimensional geometrical structure which consists of two circular bases connected with a curved surface."
Formula to calculate the area of the lateral surface of a cylinder:For a cylinder with radius r and height h,
the curved / lateral surface area is,
A = 2 × π × r × h
Given: r = 3 cm, h = 4 cm
Using the formula for area of lateral surface of a cylinder:
⇒ A = 2 × π × 3 × 4
⇒ A = 24 × π
⇒ A = 24 × 3.14
⇒ A = 75.36 sq.cm.
Therefore, given statement is true.
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