Answers
Answer:
correct value of x = 5
Step-by-step explanation:
[tex] \frac{ {( - 2)}^{4x + 2} }{ {( - 2)}^{2x} } = {( - 2)}^{12} \\ = \frac{ {( - 2)}^{4 \times 5 + 2} }{ { ( - 2)}^{2 \times 5 } } \\ = \frac{ {( - 2)}^{22} }{ { ( - 2)}^{10} } \\ = \frac{4194304}{1024} \\ = 4096 = 4096(i.e \: {( - 12)}^{12} = 4096) \\ [/tex]
Related Questions
Solve for x. Choose the best answer.
Answers
Answer:
x = 15
Step-by-step explanation:
cross multiply -->
8x = 120 *divide by 8 on both sides*
x = 15
CHECK:
5/8 + 15/24
multiply by 3 to get the second fraction
Answer:
x=15
Step-by-step explanation:
what is the answer to
5 x plus 8 plus 3 x equals 26 plus 6 x
Answers
Answer:
Step-by-step explanation:
according to the question equation is
5x+8+3x=26+6x
8x+8=26+6x
8x-6x=26-8
2x=18
x=18/2
x=9
Answer:
x=9
Step-by-step explanation:
plzzzzzzzzzzzzz helpppppppppppppp
Answers
Answer:
Question 25:[tex]6[/tex]
Question 19:[tex]16[/tex]
Step-by-step explanation:
Question 25:[tex] \frac{x}{12} + \frac{y}{3} = 2[/tex]
[tex] \frac{y}{3 } = 2 - \frac{x}{12} [/tex]
[tex]y = 3( 2 - \frac{x}{12} )[/tex]
[tex]y = 6 - \frac{x}{4} [/tex]
[tex]y = - \frac{x}{4} + 6[/tex]
Question 19:[tex] {x}^{2} - 8x + c[/tex]
[tex] {x}^{2} + c - 18[/tex]
To find the c value ,
[tex]c = ( \frac{b}{2} {)}^{2} [/tex]
divide the coefficient of x by 2 and square the result.
[tex]( - 1 \times 4 {)}^{2} [/tex]
[tex]( - 4 {)}^{2} [/tex]
[tex]16[/tex]
Hope it is helpful....The dog-to-cat ratio at the adoption center is 7:3 The total number of dogs and cats is 110. How many dogs are at the adoption center? How many cats?
Answers
Answer:
77 dogs
33 cats
Step-by-step explanation:
7+3 = 10
110 ÷ 10 = 11
11 x 7 = 77
11 x 3 = 33
The city of Redmond is planning to build a new park by enlarging the current park by a scale factor of 3. The current park has an area of 30,125 yd².
The area of the new park is ___ yd².
Answers
Answer: I think it’s Area of the new park is 602000 yd
Answer:
90,375 yd^2
Step-by-step explanation:
A scale factor of three means that the park will be 3 times larger than the original, they may use fancy words, but it’s that simple.
30,125 * 3 = 90,375 yd^2
-2x + 4 = 3
how would you solve this problem?
Answers
move the 4
-2x+4=3
-4 -4
-2x=-1
then you would move the -2 by using division
-2x=-1
__ __
-2 -2
x=0.5
Which set shows a subset of the set of natural numbers?
A
B.
C.
{19, 22, 34, 56 )
{16.9, 34.5, 67.2, 78.3}
{0, 22, 43, 78)
22.
-1
100)
7
D.
Answers
simplify
√(8+2√15)
Please hurry
Answers
Decimal form is 3.96811878
11. Find the H.C.F of 96 and 120.
Answers
Answer:
24.
Step-by-step explanation:
The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Then the greatest common factor is 24.
Thirty students were asked what their favorite number from 1 through 9 was. The results were 8 students said 3. 6 students said 4, 9 students said 7, and 2 students said 9. What is the experimental probability that the number 7 was picked as the favorite number?
Answers
Answer:
3/10
Step-by-step explanation:
From the question, we have the total number of sampled students as 30
9 students said 7 was their favorite
So the experimental probability that we have 7 picked as the favorite number will be the number of respondents who chose 7 as their favorite divided by the total number of respondents
We have this as;
9/30 = 3/10
In the diagram below of triangle UVW, X is a midpoint of UV and Y is a
midpoint of VW. If mZXYV = 7x + 21, and mZUWY = 91 – 7x,
what is the measure of ZXY?
V
X
Y
U
W
Answers
Given:
In triangle UVW, X is the midpoint of UV and Y is the midpoint of VW.
[tex]m\angle XYV=7x+21[/tex]
[tex]m\angle UWY=91-7x[/tex]
To find:
The measure of angle XYV.
Solution:
Since X is the midpoint of UV and Y is the midpoint of VW, therefore XY is the mid-segment of the triangle UVW and parallel to the base of the triangle, i.e., UW.
If a transversal line intersect two parallel lines, then the corresponding angles are congruent and their measures are equal.
[tex]\angle XYV \cong \angle UWY[/tex] [Corresponding angle]
[tex]m\angle XYV=m\angle UWY[/tex]
[tex]7x+21=91-7x[/tex]
We need to solve this equation for x.
[tex]7x+7x=91-21[/tex]
[tex]14x=70[/tex]
[tex]x=\dfrac{70}{14}[/tex]
[tex]x=5[/tex]
Now,
[tex]m\angle XYV=7x+21[/tex]
[tex]m\angle XYV=7(5)+21[/tex]
[tex]m\angle XYV=35+21[/tex]
[tex]m\angle XYV=56[/tex]
Therefore, the measure of angle XYV is 56 degrees.
helppppp meeeee plz i'll give brainliest!!!
Answers
Answer:
1
Step-by-step explanation:
2m + 4 = 6
2m = 6 - 4
2m = 2
m = 1
the answer is one.. ....
The frequency of vibration (f) of a string varies directly as the square root of the tension (T) and inversely as the length (L) of the string. If the frequency is 60 vibrations per second with the tension is 121 lb and the length of the string is 12 feet, find the frequency with the tension is 81 lb and the string is 9 feet.
Answers
Answer:
[tex]f = \frac{720}{11}[/tex]
Step-by-step explanation:
Given
[tex]f\ \alpha\ \frac{\sqrt T}{L}[/tex] --- The variation
[tex]f = 60; T = 121; L = 12[/tex]
Required
Find f, when T =81; L = 9
We have:
[tex]f\ \alpha\ \frac{\sqrt T}{L}[/tex]
Express as equation
[tex]f = k\frac{\sqrt T}{L}[/tex]
Make k the subject
[tex]k = \frac{fL}{\sqrt T}[/tex]
When [tex]f = 60; T = 121; L = 12[/tex]
[tex]k = \frac{60 * 12}{\sqrt {121}}[/tex]
[tex]k = \frac{60 * 12}{11}[/tex]
[tex]k = \frac{720}{11}[/tex]
To solve for f, when T =81; L = 9
We have:
[tex]f = k\frac{\sqrt T}{L}[/tex]
[tex]f = \frac{720}{11} * \frac{\sqrt{81}}{9}[/tex]
[tex]f = \frac{720}{11} * \frac{9}{9}[/tex]
[tex]f = \frac{720}{11} * 1[/tex]
[tex]f = \frac{720}{11}[/tex]
I need help asap plz.
Answers
For which function does f decrease by 15% every time x increase by 1? A: f(x)= 0.15^x B: f(x)=8.5^x C: f(x)=15^x. D: f(x)=85^x
Answers
Answer:
[tex]f(x) = (0.85)^x[/tex]
Step-by-step explanation:
Exponential amount of decay:
The equation for an amount that decays exponentially has the following format:
[tex]A(x) = A(0)(1 - r)^x[/tex]
In which r is the decay rate, as a decimal.
Decrease by 15%
This means that [tex]r = 0.15[/tex]. So
[tex]f(x) = (1 - r)^x = (1 - 0.15)^x = (0.85)^x[/tex]
So
[tex]f(x) = (0.85)^x[/tex]
GEOMETRY HELP ASAP !!!!
Answers
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
copy the above onto your computer for future reference
sin(g) = 420/427
tan(z) = 77/420
cos(z) = 420/427
sin(m) = 427/427
part (E) the sin of any right angle will be 1 :)
Answer:
Solution given:
Sin G=opposite/hypotenuse=420/427
TanZ=Opposite/adjacent=77/420
CosZ=adjacent/hypotenuse=420/427
Sin M=opposite/hypotenuse=427/427=1
Solve for x.
0.5x+78.2=287
Answers
Answer:
x =417.6
Step-by-step explanation:
0.5x+78.2=287
Subtract 78.2 from each side
0.5x+78.2-78.2=287-78.2
.5x =208.8
Divide each side by .5
.5x/.5 = 280.8/.5
x =417.6
A bag contains 4 green marbles, 5 yellow marbles and 6 red marbles. What is the
probability of selecting a yellow or red marble? Justify your answer.
Answers
Answer:
11/15
Step-by-step explanation:
P('Y' or 'R') = 5/15 + 6/15 which is 11/15
If −2x + 3 = 13, then 2x =____?
Answers
-3 = -3
-2x = 10 divide -2 on each side and get -5, so x=-5, plug that in 2x would be 2( -5) would be -10
ANSWER: -10
Kaitlyn loves to roller skate. Since she skates so much, she decided to buy her own
skates. She looked at several stores and found a pair she liked for $74.79. She has
$193.42 in her savings account. If she takes out the money to buy the skates, how much
money will be left in her savings account?
$268.21
$124.65
$118.63
$256.86
Answers
Answer:
118.63
Step-by-step explanation:
Select all that are equivalent to 4/16
1/5
0.25
0.252525
25%
Answers
Answer:
0.25 and 25% are equivalent
Step-by-step explanation:
Ace pool company sells portable spas as shown. The inside diameter of the spa is 2.5 m and the depth is 1.5 m. The sides and the bottom are each 10 cm thick.
a) Calculate the total amount of vinyl required for the spa (on both the interior and exterior)"
Answers
Step-by-step explanation:
the area of :
1) inside surface = (3.14× 1.25²)+(3.14×2.5×1.5)
= 4.90625 + 11.775 = 16.68125 m²
2) upper side surface= (3.14 × (1.35²-1.25²))
= 3.14× (1.8225-1.5625)= 3.14×0.26=0.8164m²
3) lateral surface= 3.14×2.7×1.6=13.5648m²
the total amount of vinyl required for the spa =
16.68125+0.8164+13.5648 = 31.06245 m²
Please someone help me ?!?!?
Answers
Answer:
I believe it would be B. SAS
Step-by-step explanation:
You have two sides and one angle that are congruent in both
A sports team is building a new stadium on a rectangular lot of land. If the lot measures 7x by 7x and the sports field will be 5y by 5y, how much of the lot will be left over to build bleachers on?
Answers
Answer:
Area of rectangular lot= l * f
Step-by-step explanation:
Area of rectangular lot= l * f=7x*7x = 49x^2
Area of stadium= 5y*5y = 25y^2
Area left of build bleachers = 49x^2 - 25y^2
Which of the following is equal to g(x)?
A. 1/3 (x)
B. (x+3)
C. (x) - 3
D. (x - 3)
Answers
if there are 300 calories in 100 g of a certain food, how many calories are there in a 30 g portion of food
Answers
Answer:
90 calories
Step-by-step explanation:
Calories : quantity of food
there are 300 calories in 100 g of a certain food
300 calories : 100 g food
how many calories are there in a 30 g portion of food
Let x = number of calories
x calories : 30 g food
Equate both ratios
300 calories : 100 g food = x calories : 30 g food
300/100 = x/30
300 * 30 = 100 * x
9000 = 100x
x = 9000/100
x = 90
x = number of calories = 90 calories
For the right triangles below, find the values of the side lengths h and b.
Round your answers to the nearest tenth
Answers
Answer:
5.8
Step-by-step explanation:
The distribution of the values of a population is shown below, and a simple Random sample is drawn from the population. Based on this information alone, can the same will be used to make inferences about the population?
Answers
Answer: C
Step-by-step explanation:
Yes, because the population values appear to be normally distributed
i give u brainliest if u answer
Answers
Answer: B & D
Step-by-step explanation:
Which of the following is a classified as a trinomial
Answers
Answer:
A
Step-by-step explanation:
theres 3 ( x³, -3x, 3)
Answer:
A) x² - 3x + 3
Step-by-step explanation:
A trinomial is an algebraic expression consisting of three terms, which usually include a quadratic variable, a coefficient multiplied by a variable, and an integer.
In other words, a trinomial is a polynomial consisting of three monomials.