- 4 × ( n + 8 ) = - 12
Divide both sides by - 4
( - 4 × ( n + 8 ) ) ÷ ( - 4 ) = - 12 ÷ ( - 4 )
Simplification
( n + 8 ) = 3
n + 8 = 3
Subtract both sides - 8
n + 8 - 8 = 3 - 8
n = - 5
help:
Find LaTeX: (f-g)(x)(f−g)(x) if LaTeX: f(x) = \sqrt{4x}f(x)=4x and LaTeX: g(x) = \sqrt{16x}g(x)=16x.
Step-by-step explanation:
Simplify the matrix.
f
2
x
2
−
2
f
g
x
2
+
g
2
x
2
,
f
(
x
)
=
2
√
x
f
x
=
4
x
,
g
x
=
4
√
x
g
x
=
16
x
Determine which sides/angles need to be congruent in order to prove the triangles are congruent by the desired theorem
PLEASE GIVE THE ANSWER
Triangle DEF has coordinates D(3, 4), E(4, 1), and F(1, -2). If the triangle is
dilated by a scale factor of 4, what are the coordinates of E?
Answer:
Hello! answer: coordinates of E' are (16, 4)
Step-by-step explanation:
4 × 4 = 16 4 × 1 = 4 therefore the new coordinates are (16, 4)
The coordinate of E after dilation is (16, 4).
What is a triangle?It is a two dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Triangle DEF has coordinates:
D = (3, 4)
E (4, 1)
F = (1, -2)
The coordinates are dilated with a scale factor of 4.
This means,
Multiply all the coordinates by 4.
Now,
D = (3 x 4, 4 x 4) = (12, 16)
E (4 x 4, 1 x 4) = (16, 4)
F = (1 x 4, -2 x 4) = (4 , -8)
Thus,
The coordinate of E is (16, 4).
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The probability distribution for a random variable x is given in the table. -5 -3 -2 0 2 3 Probability .17 .13 33 16 11 10 Find the probability that x < 0
Answer:
0.79
Step-by-step explanation:
add up the probability that is less than or equal to 0, which is 0.17+0.13+0.33+0.16 = 0.79
The probability [tex]$x \leq0$[/tex]. is 0.79.
What is probability distribution?
A probability distribution exists a statistical function that defines all the possible values and likelihoods that a random variable can consider within a provided range.
The probability distribution is given in the table.
Probability that [tex]$x \leq0[/tex]
The values that are 0 or lower are -3, -2 and -5. So
[tex]$P(X \leq0)=P(X=-3)+P(X=-2)$$[/tex]
From the table:
[tex]$&P(X=-3)=0.13, P(X=-5)=0.17, P(X=-2)=0.33[/tex] and [tex]P(X=0)=0.16[/tex]
So, [tex]$&P(X \leq-3)=P(X=0)+ P(X=-3)+P(X=-5)+P(X=-2)[/tex]
= 0.16 + 0.13 + 0.17 + 0.33
= 0.79
0.79 probability that [tex]$x \leq0$[/tex].
To learn more about probability distribution
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How can you tell if these are greatest common factor or difference of squares questions?
Answer:
When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).
For a school fundraiser, Mai will make school spirit bracelets. She will order bead wiring and alphabet beads to create the bracelets. Mai must spend $250 on wire and $5.30 per bracelet for beads. Write an expression for this situation.
what's the answer ?
[tex] \sqrt{25 \times 9} [/tex]
Answer:
[tex] \sqrt{25 \times 9} [/tex]
[tex] \sqrt{5² \times 3²} [/tex]
±(5*3)
±15 is a required answer.
Need help ASAP! I’ll give brainliest;) No links please, will report.
The perimeter of a triangle is 5x^4+5x^3+5x^2+50x+100. One side is 5x^2+103x+40 and the other side is 5x^3-43+100. What is the length of the third side of the triangle?
Answer:
side 1=5x^2+103x+40
side2=5x^3-43+100
side 3=A {let}
we have
perimeter of triangle=side 1+ side2 +side3
5x^4+5x^3+5x^2+50x+100=5x^2+103x+40+5x^3-
43+100+A
A=5x⁴+5x³+5x²+50x+100-5x³-5x²-103x-97
A=5x⁴-53x+3 is your answer
I NEED HELP WITH THIS PLEASE AND PLEASE DONT SEND LINKS
Answer:
The coins probability is 1/2 while the dice probability is 1/6
Step-by-step explanation:
The coin only has 2 sides so you split it into halves
The dice has 6 sides so you split it into sixths
Which of these symbols stands for less than or equal to?
Answer:
the far left one
Step-by-step explanation:
Kelly drove 385 miles to visit her friend. She drove at an average rate of 55 miles per hour.
How long did it take her to drive to her friend's house?
A: 5 hours
B: 7 hours
C: 9 hours
D: 11 hours
Answer:
B. 7 hours
Step-by-step explanation:
The formula for time (in this scenario) is t = d/s.
t - time
d - distance
s - speed
For this problem, d - 385 mi and s - 55 mph. To find the time this trip took, you would solve 385/55=7. In the end, Kelly drove for 7 hrs. Hope this helps!!
can you please solve this, the picture is in here
Answer:
no
Step-by-step explanation:
If you place a 26-foot ladder against the top of a building and the bottom of the ladder is 20 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot
Answer:
16.6
Step-by-step explanation:
somtimes you gotta pay attention to you're math teacher
there are 60 inches in 5 feet.how many inches are in 8 ft?
Answer:
63in
Step-by-step explanation:
All TVs are on sale at Target for 25% off.
The sales tax in Rochester is 7.875%
If Mrs. Winters wants to buy a TV that is regularly priced $800, what will her final cost be?
Answer:
$647.25
Step-by-step explanation:
Twenty-five percent off the regular $800 price comes to 0.75($800), or $600 (after the discount).
Calculating the 7.875% sales tax and adding it in, we find that the final price to be paid is (1 + .07875)($600), or $647.25.
17, 24, 31, 38, ... common diffrence Arithmetic Sequences
Ans: 10+7n
Step-by-step explanation: there you go
Answer:
d=7; equation=17+(n-1)7
Step-by-step explanation:
I dont know what your question is but it goes up by 7
The parent teacher association is raising money for a new swing set. They need $682.56 to purchase the swing set and receive a $200.00 donation. The remaining amount will be equally divided among 8 different student groups to raise. How much money will each student group need to raise in order to purchase the swing set?
Answer:
Each student will raise $60.32
Step-by-step explanation:
682.56-200.000 = 482.56
482.56/8 = $60.32
I don't understand this problem
Answer:
45%
Step-by-step explanation:
Step-by-step explanation:
It's asking you what the probablitiy of a red car is.
Since this looks like a test/homework, I'll give some hints.
Let's say that SUV's and car's are x.
Out of x, 60 percent is cars.
Let's call the amount of cars we have y.
Out of y amount car's, 15 percent is red.
It's asking that if you randomely chose a car, what the probability would be if you got a non-red car.
Of course, this problem only needs one variable, but for the sake of simplicity, I added 2.
Hope this helps!
how many solutions to
3x^2 -5x+20=0
equation
PLS HELP I BEG YOUU!!!
Answer:
Step-by-step explanation:
the balloon starts at (10, 0 )
it ends at 16,0)
in the middle it's at between 10 and 16 , so say about 13, where it reaches 27
so in the middle it's (13,27)
so ( 11, 9)
(12, 18)
got 13
(14, 18)
(15, 9)
got 16
:P
Help me with this one. I’m stuck with it since an hour and a bit more.
Answer:
1) 5 : 7 : 8.75
2) Happy = 168 . Juma = 210
3) Rima = 17800 . Happy = 24920 . Juma = 31150
Step-by-step explanation:
1) 5 : 7 : 8.75
Ratio Rima to Happy = 5:7
Ratio Happy to Juma = 4:5
7/4 = 1.75
1.75 x 5 = 8.75
Ratio = 5 : 7 : 8.75
2) Happy = 168 . Juma = 210
Ratio = 5 : 7 : 8.5
120 / 5 = 24
Happy = 24 x 7 = 168
Juma = 24 x 8.75 = 210
3)17800 : 24920 : 31150
5 + 7 + 8.75 = 20.75
73870 / 20.75 = 3560
3560 * 5 = 17800 = Rima
3560 * 7 = 24920 = Happy
3560 * 8.75 = 31150 = Juma
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
2
Steven has 2 different spinners. He spun each spinner several times and recorded the
results in the tables below.
Spinner 1
Outcome Frequency
Red
8
Orange
4.
Yellow
2
Green
6
Spinner 2
Outcome Frequency
Blue
2
Purple
2
Black
1
White
5
Based on these results, if Steven spins each spinner 60 times, which of the following is
the best prediction of his results?
F Spinner 1 would land on orange 6 more times than Spinner 2 would land on purple.
G Spinner 1 would land on orange 10 more times than Spinner 2 would land on purple.
H Spinner 1 would land on orange twice as many times as Spinner 2 would land on purple.
3 Spinner 1 would land on orange the same number of times that Spinner 2 would land
on purple
Answer:
ok so the answer would be h
Step-by-step explanation:
so basically the ratio is 4:2 -1:2 so purple is 2 and orange is 4. meaning purple is half of the orange. that ratio stays the same. if you were to multiply puplr by 60 you get 120. and if you multiply 4 by 60 you get 240. which 240 divided by 120 is 2 meaning h is the right answer choice.
The correct observation is Spinner 1 would land on orange the same number of times that Spinner 2 would land on purple.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
Total times spined = 60
Spinner 1 land on orange out 60 times
= 4/20 x 60
= 1/5 x 60
= 12
Spinner 2 land on Purple out 60 times
= 2/10 x 60
= 1/5 x 60
= 12
Hence, Spinner 1 would land on orange the same number of times that Spinner 2 would land on purple.
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Solve the proportion.
Answer:
y = 5
Step-by-step explanation:
cross-multiply:
6y = 30
y = 5
Help me please and explain for me
Answer:
1.575 × 10^6 gallons
Step-by-step explanation:
1.25 × 10^6 = 1.25 × 1,000,000 = 1,250,000 gals.
Dolphin tank = 325,000 gals.
total vol. = 1,250,000 + 325,000 = 1,575,000 gals.
scientific notation = 1.575 × 10^6 gallons
Please help me I’m stuck
Answer:
x = 3.2
Step-by-step explanation:
Apply pythagorean theorem, c² = a² + b²
Where,
c is the hypotenuse/longest side = √(10² - 9²) ≈ 4.4
a = x
b = 3
Substitute
4.4² = x² + 3²
19.36 = x² + 9
x² = 19.36 - 9
x² = 10.36
x = √10.36
x = 3.2 (nearest tenth)
Army needs to order a shade for a triangle-shaped window has a base of 6 feet and a height of 4 feet.what is the area of the shade
Answer:
The area of the shade is 12 feet
Step-by-step explanation:
To find the area you would do 6 * 4 which equals 24 but with every triangle you have to cut the area in half so the actual answer would be 12 feet
An 8-ft ladder leans against the side of a house. How far is the bottom of the ladder from the side of the house when the angle of elevation of the ladder is 75 7 Round your answer to the nearest tenth.
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
the side "?" is the Adjacent side (Adj) and we are given the angle and the Hypontenuse ( long side) (Hyp) of this triangle
so use CAH
cos(75) = Adj / 8
algebra to solve for the Adj side (which is the "?" for this problem )
8*cos(75) = Adj
2.07055 = Adj
so the "?" is 2.1 ft ( rounded to the nearest 10th )
Solve In(5x + 3) = 2.5
Answer:
[tex]x=\frac{e^{2.5}-3}{5}[/tex]
Step-by-step explanation:
Let y = 5x + 3
Then we get
㏑(y) = 2.5
Using exponentiation,
[tex]e^{lny} = e^{2.5}\\\textrm{But }e^{lny} \textrm{ is simply y (log rule)}\\\textrm{So we get}\\y = e^{2.5}\\\\\\\textrm{Substituting for y we get}\\\\5x + 3 = e^{2.5}\\x = (e^{2.5} - 3)/5\\[/tex]
This works out to x = 1.83649879
Which one of these is not congruent to angle 5?
Answer:
Step-by-step explanation:
The answer is 1 and 3
Can anyone answer ASAP