Answer:
The answer to this question is 6.
Step-by-step explanation:
To find the value of x we must find what minus 2 gets us 16. To find this we pretty much just see what 2 to the power gives us 16, therefore we find that 2^4 is 16. We now must solve for x. We take all of our possible solutions and find what minus 2 gets us 4. We then can see that 6-2 is 4 and that 2^4 is 16. Therefore, we can conclude that x is equal to 6.
If the linear equation with a single variable is 2x - 2 = 16. Then the value of the variable x is 9.
What is linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The linear equation with a single variable is given below.
16 = 2x - 2
Then the value of x will be given as
18 = 2x
x = 9
Then the value of the variable x is 9.
More about the linear system link is given below.
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Which of the following functions has a graph with a vertex that is a translation 5 units horizontally to the right of the vertex of the graph of y = (x - 1)2+3?
Answer:
[tex]g(x) = (x-6)^2 +3[/tex]
Step-by-step explanation:
Given
[tex]y = (x - 1)^2 + 3[/tex]
Required:
Shift 5 units to the right
f(x) = (x + 2)^2 + 2
The parabola is written as:
[tex]y = a(x-h) ^2 +k[/tex]
Where [tex](h,k)[/tex] is the vertex
Compare [tex]y = a(x-h) ^2 +k[/tex] to [tex]y = (x - 1)^2 + 3[/tex]
The vertex is:
[tex]Vertex =(1,3)[/tex]
Shift 5 units to the right
The rule is:
[tex](x,y) \to (x + 5,y)[/tex]
So, we have:
[tex](1,3) \to (1 + 5,3)[/tex]
[tex](1,3) \to (6,3)[/tex]
The new function is:
[tex]g(x) = a(x-h) ^2 +k[/tex]
[tex]g(x) = (x-6)^2 +3[/tex]
Show and explain how you would solve the following equation by graphing x - 2 = 5
Answer:
See below
Step-by-step explanation:
If you graphed x-2=5, you would see a vertical line crossing the point x=7, as shown in the graph because 7-2=5.
A reporter claims that 90% of American adults cannot name the current vice president of the United States. To investigate this claim, the reporter selects a random sample of 50 American adults and finds that 28 are unable to name the current vice president. The reporter would like to know if the data provide convincing evidence that fewer than 90% of American adults are unable to name the current vice president. Are the conditions for inference met?
Group of answer choices
Yes, the conditions for inference are met.
No, the Large Counts Condition is not met.
No, the 10% condition is not met.
No, the randomness condition is not met.
Answer: B
Step-by-step explanation:
No, the Large counts conditio is not met
The correct option is that, No, the Large Counts Condition is not met.
What are the Conditions for Inference?Conditions for inference are the three conditions on a mean are randomness, whether it is normal distribution and the independence of the test.
Given that,
The reporter selects a random sample of 50 American adults and finds that 28 are unable to name the current vice president.
So the sample is random.
10% condition is also met since the sample size is 50, which must be less than 10% of the total population.
So the 10% condition is also met.
Large counts condition is the condition which requires the sample size to be large enough for the distribution to be approximately normal.
So, the large counts condition is not met.
Hence the correct option is that condition of inference is not met since the Large Counts Condition is not met.
Learn more about Conditions for Inference here :
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Maurice fills a ball in the shape of a sphere with air. The diameter of the ball when it is filled is 24 inches. How much air, in cubic inches, is in the ball when it is filled? Solve in terms of π like the example above.
PLEASE HELP ME
Answer:
2304pi inches³
Step-by-step explanation:
volume of ball = 4/3pi r³
=4/3 x pi x 12³=2304 pi inches³
Evaluate.
f(x)=17-5x at x=x+h
Step-by-step explanation:
f(x)=17-5x
if x=x+h then you can insert x+h for x in the equation of f(x)
f(x)=17-(x+h)-5x
distrubute and simplify
f(x)=17-6x-h
So that line contains the points where 17-5x and x+h intersect.
Hope that helps :)
Find the area of the red region.
Brainliest Will Be given!!!
Xtra points!!
Thebecks if your're on still!!
PLZ!!!!!
NO INKS OR YOU WILL GET REPORTED!!!!!!!!
Answer:
11.59 cm²
Step-by-step explanation:
area of entire circle:
A = (3.14)(9.28²) = 270.41 cm²
area of 68.9° segment:
(68.9/360)(270.41) = 51.75 cm²
area of triangle:
the triangle is equilateral so both the corners opposite 68.9° are equal so they are = (180 - 68.9)/2 = 55.55° each.
1/2 the base will be:
cos 55.55 = b/9.28
b = 5.25, full base =10.5 cm
sin 55.55 = height/9.28
height = 7.65 cm
A = 1/2(10.5)(7.65) = 40.16 cm²
area of chorded section = 51.75 - 40.16 = 11.59 cm²
The equation P=2(l+w) gives the perimeter P of a rectangle, where l is the length and w is the width. Solve this equation for w.
Answer: P = 2(L + W) distribute the 2
P = 2L + 2W subtract 2L from both sides
P - 2L = 2W divide both sidesby 2
(P - 2L)/2 = W
In each equation, select an operation to make the equation true. 24 ____34=18 24 ____−34= - 32 12 ____ -15 = -3 12 ____ -15 = 27 -18 ____ −34= 24
Answer:
1) 24 - 40 + 34 = 18
2) 24 - 22 - 34 = -32
3) 12 + 0 -15 = -3
4) 12 + 30 -15 = 27
5) -18 + 76 -34 = 24
Step-by-step explanation:
The given equations are;
1) 24 _ 34 = 18
We have;
18 - (34 + 24) = -40
Therefore;
24 - 40 + 34 = 18
2) 24 _ - 34 = -32
We have;
-32 - (24 - 34) = -22
Therefore;
24 - 22 - 34 = -32
3) 12 _ -15 = -3
We have;
-3 - (12 - 15) = 0
Therefore;
12 + 0 -15 = -3
12 - 15 = -3
4) 12 _ -15 = 27
We have;
27 - (12 - 15) = 30
Therefore;
12 + 30 -15 = 27
5) -18 _ -34 = 24
We have;
24 - (-18 - 34) = 76
Therefore;
-18 + 76 -34 = 24.
1. 24 x 34=18
2. 24 ➗ -34=-32 (i dont have the division thing lol)
3. 12 - 15=-3
4. 12 - (-15)=27
5. -18 x -34=24
In the diagram of triangle FJH below, KG || JH, FK=3, KJ=15, and FG=4. What is the length of FH?
Given:
In triangle [tex]FJH,KG\parallel JH, FK=3, KJ=15,\text{ and }FG=4.[/tex]
To find:
The length of [tex]FH[/tex].
Solution:
Basic proportionality theorem(BPT): If a line intersect the two sides of a triangle and parallel to third side of the triangle, then it divides the sides proportionally.
In triangle [tex]FJH,KG\parallel JH[/tex].
Using BPT, we get
[tex]\dfrac{FK}{KJ}=\dfrac{FG}{GH}[/tex]
[tex]\dfrac{3}{15}=\dfrac{4}{GH}[/tex]
On cross multiplication, we get
[tex]3\times GH=4\times 15[/tex]
[tex]GH=\dfrac{60}{3}[/tex]
[tex]GH=20[/tex]
Now,
[tex]FH=FG+GH[/tex]
[tex]FH=4+20[/tex]
[tex]FH=24[/tex]
Therefore, the length of FH is 24 units.
Help please, and could you show the work?
Answer:
X = 5
Step-by-step explanation:
use the graph:
look at y = -3 and find the corresponding X value (X = 5)
solve for y -20x - 4y = 16
Answer:
y = -5x - 4
Step-by-step explanation:
-20x - 4y = 16
-4y = 20x + 16
4y = -20x - 16
y = -5x - 4
Write each equation in standard form -3x+5y=-5
Answer:
Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a ...
Step-by-step explanation:
Write an equation to represent the situation: Last summer, Gary trained 14
more dogs than Zina. Together they trained 82 dogs. How many dogs did Gary train?
Answer:
A. g + (g + 14) = 82
Bonus: Gary trained 48 dogs. Triana trained 34.
Step-by-step explanation:
Since Gary trained 14 MORE dogs, anything with a minus sign is definitely wrong. As a result, B & C are eliminated. D is also eliminated because that simplifies to 2g + 28 = 82, which signifies Gary trained 28 more dogs, which is not true. That leaves A as our answer.
g + g + 14 = 82
Combine g & g to get 2g.
2g + 14 = 82
Subtract 14 from both sides.
2g = 82 - 14
2g = 68
Divide both sides by 2.
g = 68/2
g = 34
With that, we now know Triana trained 34 dogs. Add 14 to that, and you get 48 dogs, which is how many Gary trained.
Find the diameter of the circle with a circumference of 27 centimeters. Use 3.14 for π. Round to the nearest tenth.
Answer:
Step-by-step explanation:
Circumference= πd = 27 cm
d = 27/π = 8.6 cm
The line L passes through the points (0,7) and (3,19). Work out the equation of the line L.
A) y = 4x +7
Or
B) y = 4x + 19
Can you help?
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (3, 19 )
m = [tex]\frac{19-7}{3-0}[/tex] = [tex]\frac{12}{3}[/tex] = 4
The line crosses the y- axis at (0, 7 ) ⇒ c = 7
y = 4x + 7 → A
What is another word for relative frequency?
Answer:
frequency, relative frequency(noun) the ratio of the number of observations in a statistical category to the total number of observations. Synonyms: frequency, oftenness, absolute frequency, frequence.Step-by-step explanation:
brainliest?
Answer: frequency; ratio.
Step-by-step explanation:
Solve the linear equation. 2 (3 + 2x) = 10
Answer:
-1
Step-by-step explanation:
2(3+2x)=10
6+4x=10
6-10=4x
-4=4x
x=-1
Help me With 1 and 3
Answer:
1. A
2. B
Step-by-step explanation:
They want to isolate x in both cases.
So the best choice for question 1 is A because if he adds 10 to both sides x will be positive.
On question 3 the best choice is subtracting 15 from both sides
9. Simplify the expression: 8(5x-3y) *
Answer:
40x- 24y
Step-by-step explanation:
Which statement is correct
can someone please help me? also please explain or you’ll get reported ;)
Answer:
PX = 2√11
Step-by-step explanation:
here's your solution
==> ZX = 12 m
==> ZP = 10 m
==> by using Pythagoras theorem
==> PX^2 = ZX^2 - ZP^2
==> PX^2 = 12^2 - 10^2
==> PX^2 = 144 - 100
==> PX^2 = 44
==> PX = √44
==> PX = 2√11
hope it helps
What is -1/2 times 1/4-3/8?
Answer:
The answer is -0.5
Step-by-step explanation:
A basket contains 10 red apples and 7 green apples. One apple is selected at random and is not replaced. A second apple is then selected What is the probability that the first apple!
green and the second apple is red?
The percentage of 7 green apples out of 17 total apples in means of getting one selected is 41%.
Therefore, finding the percentage of 10 out of 17 concludes that a then 58% chance of a red apple being chosen is present.
QUICK GIVING BRAINLIEST TO THE CORRECT ANSWER
Answer:
0.25
Step-by-step explanation:
Answer:
25% as a decimal is 0.25 I think
Step-by-step explanation:
HELP
NO LINKS
I NEED TO TURN THIS IN ASAP I APPRECIATE ALL HELP
Pls help me out!!!!!
Answer:
cab=62
cba=48
x=12
Step-by-step explanation:
70+x+50+4x=180
combine like terms
120+5x=180
-120. -120
5x= 60
isolate x
5x=60
x=12
A base is labeled on the triangle below (look at picture!)
Answer:
It's A.
Step-by-step explanation:
Solve for a
-1/4a- 4=7/4a- 3
Answer:
a=−1/2
Step-by-step explanation:
just some easy 5th grade math please help and don’t give me any link.
Answer:
6 x 3 x 1 = 18
4 x 8 x 3 = 96
18 + 96 = 114 ft cube
If the surface area of a cube is 390 in.² and which best describes the length of the side cube
Answer:
sqrt65, or 8.06225775
Step-by-step explanation:
390/6=65
sqrt65=8.06225775