Answers
[tex]16^x=13\implies (2^4)^x=13\implies ((2^2)^2)^x=13\implies ((4)^2)^x=13 \\\\\\ 4^{2\cdot x}=13\implies 4^{x\cdot 2}=13\implies \left[4^x \right]^2=13\implies \boxed{4^x}=\sqrt{13} \\\\[-0.35em] ~\dotfill\\\\ 2^{2x+1}\implies 2^{2x}\cdot 2^1\implies (2^2)^x\cdot 2\implies 4^x\cdot 2\implies \boxed{\sqrt{13}}\cdot 2\implies 2\sqrt{13}[/tex]
Related Questions
What is the equation in slope-intercept form of the line that passes through the points (-4, 6) and (-2,5) ?
y=20 - 8
y=-30+4
y=-22 +4
y = -x + 8
Answers
[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{(-4)}}}\implies \cfrac{-1}{-2+4}\implies \cfrac{-1}{2}\implies -\cfrac{1}{2}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{-\cfrac{1}{2}}[x-\stackrel{x_1}{(-4)}] \\\\\\ y-6=-\cfrac{1}{2}(x+4)\implies y-6=-\cfrac{1}{2}x-2\implies \underset{\textit{slope-intercept form}}{y=-\cfrac{1}{2}x+4}[/tex]
9th grade math pls help
g(x)=2f(1/2x)
Answers
Answer:
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
g*(x)-(2*f*(1/2*x))=0
f=g
g=f
x=0/-f+g.
Tell me if you want step by step!
Hope this helped! :)
(I just solved for the variables I don’t know if you want be me to solve for something else.)
In which quadrant does the point (13 , 20) lie? A. Quadrant III B. Quadrant I C. Quadrant IV D. Quadrant II
Answers
Answer:
B.
Step-by-step explanation:
The first quadrant is the upper right-hand corner of the graph, the section where both x and y are positive. The second quadrant, in the upper left-hand corner, includes negative values of x and positive values of y. The third quadrant, the lower left-hand corner, includes negative values of both x and y.
Compute the total amount accumulated if you invested $3,000 for 6 years at 3% compounded
quarterly. Round your answer to the nearest cent and include '$' in your response.
Answers
Answer:
$3,582.16
Step-by-step explanation:
please help with this math
Answers
120 m
1:1000
Try this
2, 10 after a dilation by a scale factor of 1/2 centered at the
origin?
Answers
Answer:
(1, 5)
Step-by-step explanation:
When the center is the origin, the dilation factor multiplies each coordinate:
(2, 10) ⇒ (1/2)(2, 10) = (1, 5)
7.
Find all solutions to the following triangle. (Round your answers for angles A, C, A', and to the nearest minute. Round your answers for sides a and a'to two decimal places. If either triangle is not
possible, enter NONE In each corresponding answer blank.)
B = 65° 20', b = 5.38 inches, c = 4.88 inches
First triangle (assume C greater than or equal to 90°):
A= ____ degrees ____’
C=____ degrees ____’
a= ____ in
Answers
The measures of the angles and the lengths of the sides of the triangle can
be found using sine rule.
The correct responses are;
A = 59 degrees 9'C = Nonea = 5.083 in.Reasons:
The given parameter are;
∠B = 65°20', b = 5.38 inches, c = 4.88 inches
∠C ≥ 90°
By sine rule, we have;
[tex]\dfrac{5.38}{sin(65^{\circ} 20')} = \mathbf{ \dfrac{4.88}{sin(\angle C)}}[/tex]
[tex]sin(\angle C) = \mathbf{ \dfrac{sin(65^{\circ} 20') \times 4.88}{5.38}}[/tex]
[tex]\angle C = arcsin \left(\dfrac{sin(65^{\circ} 20') \times 4.88}{5.38} \right) \approx \mathbf{ 55.517 ^{\circ}}[/tex]
∠C = 55.517° < 90°, therefore, the correct response is; None
[tex]\dfrac{sin(65^{\circ} 20')}{5.38} = \dfrac{4.88}{sin(\angle C)}[/tex]
∠A = 180° - 65°20' - 55.517° = 59.15° = 59°9'
∠A = 59°9'
Therefore;
[tex]\dfrac{5.38}{sin(65^{\circ} 20')} = \mathbf{ \dfrac{a}{sin(59.15^{})}}[/tex]
[tex]a = \dfrac{5.38 \times sin(59.15^{\circ}) }{sin(65^{\circ} 20')} \approx \mathbf{ 5.083}[/tex]
a ≈ 5.083 inches
Learn more here:
https://brainly.com/question/15018190
!PLEASE ANSWER ASAP! THANK YOU!
Sarah’s school awarded 2000 raffle tickets as incentives. The principal will draw one winning ticket. The winner will receive an Ipad mini. Sarah received 4 tickets for good attendance, 5 for making the honor roll, and 10 for tutoring other students.
What is the probability that one of Sarah’s tickets will be selected by the principal? (write your answer as a %, once it is in % form round to the hundredths place)
Answers
Answer
400% Probability Of Sarah Getting Picked !
Step-by-step explanation:
So first 2000 x 19% = 380%
Round to the nearest the sum of 39 and 125
Answers
Answer:
160
Step-by-step explanation:
39 + 125 = 164
164 rounds to 160
Answer:
160
Step-by-step explanation:
39+125=164
164 rounded=160
Hope this helps :)
Someone who is unable to use a credit card after repeated failures to pay has
had their credit
A. garnished
B. defaulted
C. repossessed
D. suspended
SUBMIT
Answers
D. suspended
explanation:
Someone who is unable to use a credit card after repeated failures to pay has had their credit suspended.
Option D is the correct answer.
What is a suspended credit card?Credit card suspension is a temporary measure, and the credit card can usually be reinstated once the account is brought up up-to-date.
We have,
When a person repeatedly fails to make payments on their credit card, their credit card company may suspend their credit card.
This means that the person will not be able to use the credit card until they bring their account up-to-date and pay any outstanding balance or fees.
However, repeated failures to pay can have a negative impact on a person's credit score, which is a measure of their creditworthiness.
If the account remains delinquent, it may eventually lead to default, which is when the lender takes legal action to recover the unpaid debt.
Thus,
Someone who is unable to use a credit card after repeated failures to pay has had their credit suspended.
Learn more about suspended credit card here:
https://brainly.com/question/30940802
#SPJ7
Can I get help please..................
Sara bought 3/4 of a pound of bananas and 3/5 of a pound of pears. How much fruit did Sara buy?
Answers
Answer:
27/20
Step-by-step explanation:
¾ + ³/5= 27/20. .......................
Guys what's 1 9/15+ 1 5/15
Answers
Answer:
2 14/15. answer need to be 20
find the angle pls it's just 1 question
Answers
Answer:
70°
Step-by-step explanation:
isoceles so base angles are 55
55+55 is 110 so 180-110 is 70
Answer:
if the triangle is isosceles
Step-by-step explanation:
traingle angles= 180°
isosceles traingle= base angles are equal
180°-55°-55°= 70°
Determine the solution to each system of equations given in the table. Enter your answer in the box provided
Solution
System of Equations
Sy= 2x – 10
y=-3x + 5
Answers
Answer:
x=3 and y=-4
(3,-4)
Step-by-step explanation:
I searched it up :/
Answer:
x = 3 and y = -4
Step-by-step explanation:
Solve y = 2x-10 for y:
y=2x-10
Substitute 2x-10 for y in y = -3x+5:
y=-3x+5
2x-10=-3x+5
2x-10+3x=-3x+5+3x (add 3x to both sides)
5x-10=5
5x-10+10=5+10 (add 10 to both sides)
5x=15
5x/5=15/5 (divide both sides by 5)
x = 3
Substitute 3 for x in y = 2x-10:
y=2x-10
y=(2)(3)-10
y=-4 (simplify both sides of the equation.
Therefore your answer is x = 3 and y = -4.
a. Does it take more cups or gallons to measure the amount of water in a large
a
pot? Explain.
Answers
Juan has x quarters and y dimes, having a minimum of 16 coins worth at most $3 combined. No less than 4 of the coins are quarters. Solve this system
of inequalities graphically and determine one possible solution.
Answers
Answer:
See belowStep-by-step explanation:
Quarter - 25¢, dime - 10¢, total - $3 = 300¢
Inequalities:
x + y ≥ 1625x + 10y ≤ 300x ≥ 4See attached for graphical solution. There are many solutions.
Possible one solution:
5 quarters and 17 dimesHELP WILL GIVE BRAINLIEST
Answers
A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 14 cubic centimeters. Find the radius of the cylinder that produces the minimum surface area. (Round your answer to two decimal places.)
Answers
Answer:
Step-by-step explanation:
V = 4πR³/3 + πR²h
h = (V - 4πR³/3) / πR²
A = 4πR² + 2πRh
A = 4πR² + 2πR((V - 4πR³/3) / πR²)
A = 4πR² + 2((V - 4πR³/3) / R)
A = 4πR² + 2V/ R - (8πR³/3) / R
A = 4πR² + 2(14)/ R - 8πR²/3
A = (4π - 8π/3)R² + 28/R
A = (4π/3)R² + 28/R
dA/dR = (8π/3)R - 28/R²
0 = (8π/3)R - 28/R²
28/R² = (8π/3)R
R³ = 28(3 / 8π)
R = 1.49513...
R = 1.50 cm
which makes the cylinder height 0.00 cm. The figure is a sphere.
need help with this :)))))))
Answers
Answer:
C
Step-by-step explanation:
For Triangles to be similar, there have to be a corresponding length and angle
How is the product of 2 and -5 shown on a number line?
-10-98235
-3 -2 -1 0 1 2 3 4 5 6 7 8 10
-10 - -
-3
-2 -1 0 1 2 3 4 5 6 7 8
10
-10 -4 -8 -7 -3
4 -3 -2 -1 0
1
2
3
4
5
6
7
9
10
-10-9-4-7-3
-4-1 -2 -1 0 1 2
3
5
6
7
10
Answers
Answer:
d
Step-by-step explanation
Step-by-step explanation:It starts at 0 and goes in the negative
Sharon’s turtle escaped from her backyard sometime in the last few hours. According to her calculations, the farthest the turtle could have gone is 4 blocks down the road in either direction. If Sharon lives on the 112th block of town, which equation can be used to find the block numbers that represent the farthest distance that the turtle may be?
Answers
sooooooooooooooooooooooooooooooo who wants to help with my math
Answers
Answer:
I will what is the question?
Answer:
What is the question lol
Step-by-step explanation:
I can try to help!
Please help me with the worksheet
Answers
Answer:
9) a = ¾, vertex: (-4, 2), Equation: y = ¾|x + 4| + 2
10) a = ¼, vertex: (0, -3), Equation: y = ¼|x - 0| - 3
11) a = -4, vertex: (3, 1), Equation: y = -4|x - 3| + 1
12) a = 1, vertex: (-2, -2), Equation: y = |x + 2| - 2
Step-by-step explanation:
Note:I could only work on questions 9, 10, 11, 12 in accordance with Brainly's rules. Nevertheless, the techniques demonstrated in this post applies to all of the given problems in your worksheet.
Definitions:The given set of graphs are examples of absolute value functions. The general form of absolute value functions is: y = a|x – h| + k, where:
|a| = determines the vertical stretch or compression factor (wideness or narrowness of the graph).
(h, k) = vertex of the function
x = h represents the axis of symmetry.
Solutions:Question 9) ⇒ Vertex: (-4, 2)Solve for a:
In order to solve for the value of a, choose another point on the graph, (0, 5) and substitute into the general form (equation):
y = a|x – h| + k
5 = a| 0 - (-4)| + 2
5 = a| 0 + 4 | + 2
5 = a|4| + 2
5 = 4a + 2
Subtract 2 from both sides:
5 - 2 = 4a + 2 - 2
3 = 4a
Divide both sides by 4 to solve for a:
[tex]\LARGE\mathsf{\frac{3}{4}\:=\:\frac{4a}{4}}[/tex]
a = ¾
Therefore, given the value of a = ¾, and the vertex, (-4, 2), then the equation of the absolute value function is:
Equation: y = ¾|x + 4| + 2
Question 10) ⇒ Vertex: (0, -3)
Solve for a:
In order to solve for the value of a, choose another point on the graph, (4, -2) and substitute into the general form (equation):
y = a|x – h| + k
-2 = a|4 - 0| -3
-2 = a|4| - 3
-2 = 4a - 3
Add 3 to both sides:
-2 + 3 = 4a - 3 + 3
1 = 4a
Divide both sides by 4 to solve for a:
[tex]\LARGE\mathsf{\frac{1}{4}\:=\:\frac{4a}{4}}[/tex]
a = ¼
Therefore, given the value of a = ¼, and the vertex, (0, -3), then the equation of the absolute value function is:
Equation: y = ¼|x - 0| - 3
Question 11) ⇒ Vertex: (3, 1)
Solve for a:
In order to solve for the value of a, choose another point on the graph, (4, -3) and substitute into the general form (equation):
y = a|x – h| + k
-3 = a|4 - 3| + 1
-3 = a|1| + 1
-3 = a + 1
Subtract 1 from both sides to isolate a:
-3 - 1 = a + 1 - 1
a = -4
Therefore, given the value of a = -4, and the vertex, (3, 1), then the equation of the absolute value function is:
Equation: y = -4|x - 3| + 1
Question 12) ⇒ Vertex: (-2, -2)
Solve for a:
In order to solve for the value of a, choose another point on the graph, (-4, 0) and substitute into the general form (equation):
y = a|x – h| + k
0 = a|-4 - (-2)| - 2
0 = a|-4 + 2| - 2
0 = a|-2| - 2
0 = 2a - 2
Add 2 to both sides:
0 + 2 = 2a - 2 + 2
2 = 2a
Divide both sides by 2 to solve for a:
[tex]\LARGE\mathsf{\frac{2}{2}\:=\:\frac{2a}{2}}[/tex]
a = 1
Therefore, given the value of a = -1, and the vertex, (-2, -2), then the equation of the absolute value function is:
Equation: y = |x + 2| - 2
plss need help, question on pic below
Answers
Polygon KLHIJ ≅ Polygon VWSTU
Evaluate the expression 5(7 − 4)2 ÷ 3 + 11
Answers
Answer:
21
Step-by-step explanation:
5(7-4)*2/3+11
5*3*2/3+11
15*2/3+11
30/3+11
10+11
21
Answer:
21
Step-by-step explanation:
Subtract 4 from 7
5 ⋅ 3 ⋅ 2 ÷ 3 + 11
Multiply 5 by 3.
15 ⋅ 2 ÷ 3 + 11
Multiply 15 by 2.
30 ÷ 3 + 11
Divide 30 by 3.
10 + 11
Add 10 and 11.
21
15% tip on a bill of 99.99
Answers
Answer:
Your tip is $15.00
Step-by-step explanation:
Have a nice day ^^
Is this triangle not similar because it only has two proportional sides?
Answers
Answer:
The triangles are similar.
Step-by-step explanation:
They share a common angle (∠S) and the ratio of the two sides is the same, i.e. SP/SQ = SR/ST
The chart shows how many people have signed up to go on a field trip each day. 62 students are allowed to go on the field trip. On which day would you expect that number to be reached?A) 8B) 9C) 10D) 11
Answers
Answer:
C
I hope it helps.
What is the equation of this line in slope-intercept form? (-1,5) (1,-1)
y = 3x - 2
y = -1/3x + 2
y = -3x + 2
y = 3x + 2
Answers
Two integers are relatively prime if, and only if, their greatest common divisor is 1. For example, 2 and 3 are relatively prime, 1 and 1 are relatively prime, but 2 and 2 are not. You toss two dice, one blue and one gray. What is the probability that when the dice stop rolling that the pip count on the blue die is relatively prime to the pip count on the gray die and the gray die is showing six pips
Answers
Answer:
A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)
Step-by-step explanation:
A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)