Answer:
x =6
Step-by-step explanation:
8(x - 4) = 16
8x-32=16
8x=32+16
8x=48
x=6
☁️ Answer ☁️
8(x + -4) = 16
8(-4 + x) = 16
(-4 * 8 + x * 8) = 16
(-32 + 8x) = 16
-32 + 8x = 16
Add '32' to each side of the equation.
-32 + 32 + 8x = 16 + 32
-32 + 32 = 0
0 + 8x = 16 + 32
8x = 16 + 32
(Combine like terms) 16 + 32 = 48
8x = 48
And Divide each side by eight
x = 6
Hope it helps.
Have a nice day noona/hyung.
Plz help will mark brainliest
Solve each of the following equations. Show its solution set on a number line. Check your answers |5x|=3
Answer:
|5x|=3
5x=3 or 5x=-3
divide both side by 5
x=3/5 or -3/5
here's the answer :))
answer answer answer
Help! (Easy, but I’m making it way too hard)
A 50-ounce bottle of cranberry juice has 30 ounces of water, What percent of the bottle of cranberry juice is water?
Answer:
60%
Step-by-step explanation:
30 60
---- = ---- = 60%
50 100
Given the function f(x)=x^2-8x+13f(x)=x, determine the average rate of change of the function over the interval −1≤x≤6.
Given:
Consider the given function is:
[tex]f(x)=x^2-8x+13[/tex]
To find:
The average rate of change of the function over the interval [tex]-1\leq x\leq 6[/tex].
Solution:
The average rate of change of the function f(x) over the interval [a,b] is:
[tex]m=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
We have,
[tex]f(x)=x^2-8x+13[/tex]
At [tex]x=-1[/tex],
[tex]f(-1)=(-1)^2-8(-1)+13[/tex]
[tex]f(-1)=1+8+13[/tex]
[tex]f(-1)=22[/tex]
At [tex]x=6[/tex],
[tex]f(6)=(6)^2-8(6)+13[/tex]
[tex]f(6)=36-48+13[/tex]
[tex]f(6)=1[/tex]
Now, the average rate of change of the function f(x) over the interval [tex]-1\leq x\leq 6[/tex] is:
[tex]m=\dfrac{f(6)-f(-1)}{6-(-1)}[/tex]
[tex]m=\dfrac{1-22}{7}[/tex]
[tex]m=\dfrac{-21}{7}[/tex]
[tex]m=-3[/tex]
Therefore, the average rate of change of the function f(x) over the interval [tex]-1\leq x\leq 6[/tex] is -3.
Solve for x:
(x+3)²=1
Answer:
x = -4 or x = -2
Step-by-step explanation:
(x + 3)² = 1
x² + 6x + 9 = 1
x² + 6x + 8 = 0
(x + 4)(x + 2) = 0
x = -4 or x = -2
x2 + y2 -2x + 24y +120 = 0
Find the center and radius of this circle by converting it to (x-h)2 + (y-k)2 =r2
Answer:
r=5 O(1;-12)
Step-by-step explanation:
x² + y² -2x + 24y +120 = 0
⇒ x²-2x+1+ y²+ 24y+144-145+120 = 0
⇒ (x-1)²+ (y+12)²=25 and (x-h)² + (y-k)² =r²
so, h=1 k=-12 r=√25=5
center is O(h;k) O(1;-12)
Find the term that must be added to the equation x^2−6x=7 to make it into a perfect square.
A. 36
B. 18
C. -7
D. 9
What is the distance D across the chemical spill? ASAP help
Answer:
10
Step-by-step explanation:
There's probably a lot of ways you could solve this. I think what I would do is find the top angle of the big triangle first because it will be the same as the angle accross from it in the little triangle. We'll call this angle X1 for the big triangle and X2 for the little triangle.
X1 = X2
TAN(X1) = opposite/adjacent
TAN(X1) = 50/40
X1 = CoTAN(50/40)
X1 = 51.34 = X2
TAN(X2) = d/8
TAN(51.34) = d/8
d = TAN(51.34) * 8
d = 10
If you're unfamiliar with trig functions you could also use a proportion.
[tex]\frac{50}{40} =\frac{d}{8}[/tex]
cross multiply to get
400 = d*40
divide by 40
d = 10
Now that I look at it, that's probably the way they want you to do it, but as you see, it works either way!
A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area formed by the watering pattern is 1661 square feet? Use 3.14 for .
Answer: 23 feet
Step-by-step explanation:
The question simply means that we should calculate the radius of the circle. In this case, the area has been given to be 1661ft².
Area of a circle = πr²
πr² = 1661ft²
3.14(r²) = 1661
r² = 1661 / 3.14
r² = 528.98
r = ✓528.98
r = 23
The solution is 23 feet.
HELLLLLLLP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Answer:
80 miligrams
Step-by-step explanation:
100 / 250 = 0.4
0.4 * 200 = 80
Which property explains why these two expressions are equal?
(w+ 2/3) + 5 = w + (2/3 + 5)
A)
associative
B)
commutative
C)
distributive
D)
transverse
NOTE: Angles not necessarily drawn to scale.
Do 12/15 and 8/10 have the same value? Explain your answer in complete sentences. (NO LINKS PLEASE)[tex]\frac{12}{15} and\frac{8}{10}[/tex]
Answer:
They are the same.
Step-by-step explanation:
12 divided by 15 = .8 and 8 divided by 10= .8
.8=.8
Hope this helps!
Answer:
Yes, and see below for sentences.
Step-by-step explanation:
Yes, they do have the same value. If you create equivalent fractions for each of them with a common denominator, you can compare the numerators to each other.
12/15 is equal to 24/30 when you multiply numerator and denominator by 2, and 8/10 is equal to 24/30 when you multiply numerator and denominator by 3.
Please let me know if you have any questions.
Mr. Morris deposits $3,000 into a savings account that compounds annually by 16%. If 2 years
pass, how much money does Mr. Morris have in his savings account?
Answer:
$4036.8
Step-by-step explanation:
Given data
Principal= $3,000
Rate=16% = 0.16
Time= 2 years
The expression for the compound interest is
A=P(1+r)^t
substitute our data into the expression to solve for A
A=3000(1+0.16)^2
A=3000(1.16)^2
A=3000*1.3456
A=$4036.8
Hence the savings after 2 years is $4036.8
Solve for the roots in simplest form using the quadratic formula:
x^2+14x=-94
Answer:
х2=-94+4
х2=80
х=80÷2
х=40
PLeaase answer it, its really important ill give out brainliest
Answer:
y=-4
Step-by-step explanation:
If an event is unlikely to occur, its probability will be a negative number.
A) true
B) false
Answer
False
Step-by-step explanation:
The max number is 1 and so the unlikelier the number, the less value the number will be.
For example: The likelyhood of fliping a coin and landing on heads: 0.5
Hopes this makes sense!
can somebody please answer this. I will give brainliest answer.
Answer:
121.21 people per square mile
Step-by-step explanation:
area = 1/2(12 + 21)(14) = 231 mi²
28,000/231 = 121.21 people per square mile
Can anyone help please
Use the interactive graph below to sketch a graph of y=-3 • 2^x-4
The exponential function y = -3× 2⁽ˣ⁻⁴⁾ shows an exponential decay in the graph.
What is Exponential Function?An exponential graph is a curve that represents an exponential function. An exponential graph is a curve that has a horizontal asymptote and it either has an increasing slope or a decreasing slope. The graphs of exponential functions are nonlinear because their slopes are always changing, like curves, not straight lines
In the function given, we have that
y = -3× 2⁽ˣ⁻⁴⁾
This can be represented on a graph which shows an exponential decay of the function.
Learn more on exponential function here;
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what is 999,999,999,999.99 x 500?
Answer:
5e+14
Step-by-step explanation:
999,999,999,999.99 x 500=5e+14
hope i helped
can u plzz mark me brainlest
These box plots show daily low temperatures for a sample of days in two
different towns.
Town A
15 20
30
40
45
Town B
15 20
25 30
58
0
5
10
15
45
50 55
60
20 25 30 35 40
Degrees (F)
Compare the shapes of the box plots.
A. The distributions for both towns are positively skewed.
OB. The distribution for town A is symmetric, but the distribution for
town B is positively skewed.
C. The distribution for town A is symmetric, but the distribution for
town B is negatively skewed.
D. The distributions for both towns are symmetric.
Answer:
The answer is B.
Step-by-step explanation:
As you can see, box plot A is symmetrical so that applies to answers A and B. However, box B is very skewed to the right which makes it positively skewed so answer B is the only one that matches the correct description of the two box and whisker plots.
We can conclude that the distribution for town A is symmetric, but the distribution for town B is positively skewed.
What is the interquartile range?An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.
W can find the values of the upper and lower quartile and median from a box plot.
The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.
The formula used is Upper quartile - Lower quartile.
We have,
The distribution for town A is symmetric, but the distribution for town B is positively skewed.
We can determine the skewness of the distributions by comparing the position of the median with respect to the quartiles.
In town A,
The median (30) is located at the center of the box, and the first and third quartiles (20 and 40, respectively are equidistant from the median.
This indicates a symmetric distribution.
In town B,
The first and third quartiles (20 and 30, respectively) are closer to the median (25) on the left-hand side of the box than on the right-hand side. This indicates a positively skewed distribution.
Therefore,
We can conclude that the distribution for town A is symmetric, but the distribution for town B is positively skewed.
Learn more about the interquartile range here:
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HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
D
Step-by-step explanation:
to get average you need to add everything and divide by the number of the datas there are, which is the mean
Franco bought two shirts at a local store. The regular price for each shirt was r dollars.
The store charged Franco the regular price for the first shirt and gave him a 75% discount
on the second shirt. He was charged 6% sales tax on the entire purchase. Which of the
following expressions gives the total, in dollars, Franco paid including sales tax?
Hi thats the answer.
what is the use of yellow card in a football match
Answer:
The Yellow card is used as a warning as a result of the actions of a player on the field
Find the area of the shaded region.
Give the exact answer.
60°
0
6
A =
Answer:
25.35
Step-by-step explanation:
Area of the shaded portion = Area of semicircle - Area of the right triangle
Area of semicircle = πr²/2
Area of semicircle = 3.14(6)²/2
Area of semicircle = 3.14 * 18
Area of semicircle = 56.52
Area of triangle = 1/2 * base * height
Get the height using the SOH CAH TOA identity
sin 60 = H/12
H = 12sin60
H = 12(0.8660)
H = 10.39
Get the base
12² = b²+10.39²
144 = b²+108
b² = 144 - 108
b² = 36
b = 6
Area of triangle = 1/2 * 6 * 10.39
Area of triangle = 3 * 10.39
Area of triangle = 31.17
Area of shaded portion = 56.52 - 31.17
Area of shaded portion = 25.35
What is the value of t, the critical value of the t distribution with 8 degrees of freedom, which
satisfies the condition that the probability is 0.10 of being larger than t?
a) 1.415
(b) 1.397
(c) 1.645
(d) 2.896
(e) 0.90
The critical value of t has probability 0.10 to the right with 8 degrees of freedom is 1.3968.
What is the probability?The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.
Given:
The t-distribution with 8 degrees of freedom has probability 0.10 to the right of t.
That is, df = 8,
α = 0.10 by using these values, the critical value of t is obtained.
From the t-distribution table:
The critical value is 1.3968.
The critical value of t has probability 0.10 to the right with 8 degrees of freedom is 1.3968.
Therefore, the critical value of t has probability 0.10 to the right with 8 degrees of freedom is 1.3968.
To learn more about the probability;
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[2m-n+p]^2-[2m+n-p]^2
Answer:
( 2m - n + p )² - ( 2m + n - p )² = 4m² + n² + p² - 4mn + 4mp - 2np - ( 4m² + n² + p² + 4mn - 4mp - 2np ) = 4m² + n² + p² - 4mn + 4mp - 2np - 4m² - n² - p² - 4mn + 4mp - 2np = -8mn + 8mp
HELP DUE IN 15 MINS!
If a regular polygon has an interior angle of 160°, how many sides does the regular polygon have?
n =??
Answer:
n = 18Step-by-step explanation:
Sum of interior angles of a polygon:
(n - 2)180 = 160n180n - 360 = 160n20n = 360n = 18DONT ANSWER IF YOU DONT KNOW, if you do please answer
Answer:
the answer is c 253.5
Step-by-step explanation:
6.5×6.5+6.5×6.5+6.5×6.5+6.5
×6.5+6.5×6.5+6.5×6.5
=253.5