Answer:
7 (2 + x ) ( 2 − x )
The factored form of the given binomial is 7(x+2)(2-x)
What are the factors?A factor is a number that divides another number, leaving no remainder.
Given is a binomial, we are asked to factorize it,
28 - 7x²
7(4) - 7(x²)
= 7(4-x²)
= 7(x+2)(2-x) {∵ a² - b² = (a+b)(a-b)}
Hence, the factored form of the given binomial is 7(x+2)(2-x)
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what is the value of x
Answer:
73
Step-by-step explanation:
2x+x+53+88=360
Add up the numbers together.
3x+141=360
Subtract 141 from 360
3x=219
Divide 219 by 3
x=73
Please Help me solve it. Thanks in Advance!
Answer:
27π
Step-by-step explanation:
First, find the area as though the circle were complete.
A = πr²
A = π(6)²
A = 36π
Now, if you look at the diagram, you can see that the chunk missing forms a 90 degree angle. In a circle, there is 360 degrees in total. This means that only 3/4 of the circle is left. Multiply the area by 3/4.
36π × 3/4 = 27π
The area is 27π.
If the size of a scale drawing is 50 x 36 cm and the scale factor is 5:1 what is the size of the actual object?
Answer:
50*30=1500
Step-by-step explanation:
PLS HELP ASAP!!!!!
(Classify △LMN. Choose 2 answers).
Ans : A and F
Step-by-step explanation:
Answer:
As shown in picture:
Triangle LMN has 3 angles which are smaller than 90
=> Acute triangle (option C)
Triangle LMN has 2 sides which are equal in length (LM and LN)
=> Isosceles triangle (Option F)
Hope this helps!
:)
Find the volume of the sphere with a radius of 2 Either enter an exact answer in terms of pi or use 3.14 for pi and round your final answer to the nearest hundredth
Answer:
33.51
Step-by-step explanation:
The volume for finding a sphere is V= 4/3 x π x r ^3
(V=volume, r= radius)
V= 4/3 x π x r ^3
V= 4/3 x π x 2 ^3
2^3= 8
Calculator: 4 ÷ 3 x 3.14 (OR PI SYMBOL) x 8
ANSWER: 33.51
What is 1/4 written as a precent
So the right answer is 25%.
Look at the attached picture
Hope it will help you..
Good luck on your assignment
~pragya
Answer:
25%
Step-by-step explanation:
1/4
Multiply the numerator and denominator by 25
25/100
Write as a division expression
25 ÷ 100
Divide
0.25
Multiply the decimal by 100 to get a percentage
0.25 * 100
25%
Hope this helps :)
x + 12.2 = 42.33
Please solve for x
☺ Please Mark Brainliest ☺
Answer:
x=30.13
Step-by-step explanation:
x + 12.2 = 42.33
-12.2 = -12.2
----------------------
x=30.13
Answer:
x=30.13
Step-by-step explanation:
i think idrk i put in my calculator and got this
wanna make me brainliest
Which of the following functions is graphed below?
Answer:
idk man if you want to add a picture click the paperclip thingy though
What’s 0.005 recurring as a fraction
Answer:
0.005 = 5/1000 = 1/200
Hope it helps
The park closes at 2:30 P.M. There is a 15−minute break between each game played at the park, and each game takes the same amount of time as Hamid's soccer game. How many more games can be played before the park closes?
Complete question:
The park closes at 2:30 P.M. There is a 15−minute break between each game played at the park, and each game takes the same amount of time as Hamid's soccer game. How many more games can be played before the park closes? Hamid's soccer game time is 7:00 to 9:15
Answer:
2 more games can be played before the park closes.
Step-by-step explanation:
Given that Hamid's soccer game time is from 7:00 to 9:15 and there's a 15 minute break between games played, the next game time would be: 9:15 + 15 = 9:30
The time for each game would be calculated as:
stop time - start time = 9:15 - 7:00 = 2:15.
Thus, each game time = 2hrs 15mins
The next game time would be:
9:30 + 2:15 = 11:45
This means the next game would be from 9:30 to 11:45
After this, there would be another game(a second extra game) since the park closes at 2:30PM.
Therefore, the next game time would be:
11:45 + 15 mins break = 12:00
The game duration =
12:00 + 2hrs 15 mins = 14:15 or 2:15PM
Considering the fact that the park closes by 2:30 PM, 2 more games will be played.
A rectangle has a height of xxx and a width of 7x-47x−47, x, minus, 4.
Express the area of the entire rectangle.
Answer:
[tex]7x^{2}-4x[/tex]
Step-by-step explanation:
Area of a rectangle is expressed as Length * Width
Given the length/height = x
width = 7x-4
Area of the rectangle = [tex]x(7x-4)[/tex]
On opening the bracket;
Area of the rectangle = [tex]7x^{2}-4x[/tex]
A plane is flying at an elevation of 25000feet. It is within the sight of the airport and the pilot finds that the angle of depression to the airport is 14 degrees. Find the diagonal distance between the plane and the base of the airport.
Answer:
The distance between the plane and the base of the airport = 103339.14 ft
Step-by-step explanation:
Consider the diagram attached.
We can notice that the a triangle (ABC) can be formed between the plane, the airport, and a vertical line drawn from the ground to the plane showing its altitude.
The angle of depression is 14 degrees. This means that angle BAC is 90 - 14 = 76 degrees.
From triangle laws, we will have that [tex]cos 76 = \frac{Altitude}{AC}[/tex]
[tex]AC = \frac{25000}{(cos 76)} = 103339.14 ft[/tex]
Hence, the distance between the plane and the base of the airport = 103339.14 ft
The diagonal distance between the plane and the base of the airport is 103339.14 ft.
This situation forms a right angle triangle.
The plane is flying at an elevation of 25000 ft.
The elevation is the height or opposite side of the triangle.
The diagonal distance between the plane and the base of the airport is the hypotenuse of the triangle.
Therefore, using trigonometric ratio,
sin 14° = opposite / hypotenuse
sin 14° = 25000 / d
d = 25000 / sin 14
d = 25000 / 0.2419218956
d = 103339.137361 ft
Therefore, the diagonal between the plane and the base of the airport is 103339.14 ft.
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What is the volume of a sphere whose radius is 6 yards?
Answer:
[tex] 904.32 \: {yard}^{3} [/tex]
Step-by-step explanation:
[tex]V_{sphere} = \frac{4}{3} \pi {r}^{3} \\ \\ = \frac{4}{3} \times 3.14 \times {6}^{3} \\ \\ = \frac{4}{3} \times 3.14 \times 216 \\ \\ = \frac{4 \times 3.14 \times 216}{3} \\ \\ = \frac{2,712.96}{3} \\ = 904.32 \: {yard}^{3} [/tex]
If you invest $1,000 at the age of 15 and it earns 9% annually, what will the
original investment be worth at the age of 62? *
Answer:
4230
Step-by-step explanation:
I=PRT
I=1000*9/100*62-15
I=1000*9/100*47
I=4230
Dan buys a car for £900.
It depreciates at a rate of 1.2% per year.
How much will it be worth in 4 years?
Give your answer to the nearest penny where appropriate.
$857.58 is the price of car after 4 years.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
Dan buys a car for £900.
It depreciates at a rate of 1.2% per year
We need to find the cost of car after 4 years.
1.2/100=0.012
Now multiply 0.012 with 900
10.8
So for first year it will be 900-10.8=889.2
0.012×889.2
10.67
For second year 889.2-10.67=878.53
0.012×878.53=10.54
For third year 878.53-10.54=867.99
0.012×867.99=10.41
For fourth year 867.99-10.41=857.58
Hence, after 4 years the price of car will be 857.58.
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Evan has x red marbles, twice as many as blue marbles as red marbles and y yellow marbles. How many marbles does Evan have all together in terms of x and y?
Answer:
3x+y
Step-by-step explanation:
x+2x+y
=3x+y
NEED YOUR HELP ASAP!!!!
Answer:
1 thing that would be true is that one green triangle weighs the same as three blue squares. One thing that cannot possibly be true is that a green triangle weighs the same as a blue square.
Step-by-step explanation:
Given the function g(x) = 7x - 14 find its inverse function.
Answer:
The inverse is 1/7x +2
Step-by-step explanation:
y = 7x - 14
Exchange x and y
x = 7y-14
Solve for y
Add 14 to each side
x+14 = 7y-14+14
x+14 = 7y
Divide each side by 7
(x+14)/7 = 7y/7
1/7x +2 = y
The inverse is 1/7x +2
Answer:
g^-1(x)=x/7+2
Step-by-step explanation:
y=7x-14
7y-14=x
7y=x+14
y=1/7x+2
g^-1(x)=x/7+2
PLEASE HELP ME!!
Read this passage from Part 1 of “The Purloined Letter.”
“And what, after all, is the matter on hand?” I asked.
“Why, I will tell you,” replied the Prefect, as he gave a long, steady, and contemplative puff, and settled himself in his chair. “I will tell you in a few words; but, before I begin, let me caution you that this is an affair demanding the greatest secrecy, and that I should most probably lose the position I now hold, were it known that I confided it to any one.
“Proceed,” said I.
What is the most likely reason Poe uses a slow pace in this part of the scene?
The Purloined Letter, Part 1
to provide foreshadowing of the story (not correct, i tried)
to reduce the tension in the story
to summarize the story that is about to be told
to increase suspense about the story to come
Answer:
To increase suspense
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
To increase suspense about the story to come
I just took the test and got it right. Hope this helps!! :)
correct answer.
Consider the two similar cylinders. The heights of both cylinders are given, along with the diameter of the smaller cylinder. What is the diameter
of the larger cylinder?
48 in
32 in
12 in
Figures not drawn to scale
А
28 inches
B
20 inches
18 inches
Answer:
18 inches
Step-by-step explanation:
Given: The heights of both cylinders are 48 inches and 32 inches. Diameter of the larger cylinder is 12 inches
To find: diameter of the larger cylinder
Solution:
Height of the larger cylinder (H) = 48 inches
Height of the smaller cylinder (h) = 32 inches
Diameter of the smaller cylinder (d) = 12 inches
Radius of the smaller cylinder (r) = d/2 =12/ 2= 6 inches
As two cylinders are similar, their heights and radii are proportional.
[tex]\frac{r}{h}=\frac{R}{H}\\\frac{6}{32}=\frac{R}{48}\\R=\frac{6}{32}\times 48=9\,\,inches[/tex]
Diameter of the larger cylinder = 2R = 2(9) = 18 inches
In the derivation of the quadratic formula by completing the square, the equation is created by forming a perfect square trinomial. What is the result of applying the square root property of equality to this equation?
Answer:
The result is
x + b/2a= ±√[(b² - 4ac)/2a]
Step-by-step explanation:
In the derivation of the quadratic formula by completing the square, the equation is created by forming a perfect square trinomial
ax² + bx + c = 0
x² + (b/a)x + c/a = 0
x² + 2(b/2a)x + b²/4a² - b²/4a² + c/a = 0
(x + b/2a)² - b²/4a² + c/a = 0
(x + b/2a)² = b²/4a² - c/a
(x + b/2a)² = (b² - 4ac)/2a
Apply square roots to both sides
x + b/2a= ±√[(b² - 4ac)/2a]
it can also be explained as B on edg :)
I will give the brainliest to whoever answers correctly.
Write the expression in radical form
(144x)^1/2 (simplify your answer) thankyou!!
Answer:
12[tex]\sqrt{x}[/tex]
Step-by-step explanation:
(144x)^1/2
(ab) ^ 1/2 = a^1/2 b^1/2
144 ^ 1/2 x^1/2
12 x^1/2
In radical form
12[tex]\sqrt{x}[/tex]
Divide and answer in simpilist form: 1/2 ÷4
Answer:
1/8
Step-by-step explanation:
1/2 ÷4
Copy dot flip
1/2 * 1/4
1/8
Answer:
1/8
I want brainliest!!! :)
Step-by-step explanation:
1/2 divided by 4
1/2/4 = 1/8
Serena bought 4 packs of pencils and 12 notebooks
for fall semester which cost her $60.00. She then
bought 14 packs of pencils and 7 notebooks for
spring semester which cost her $70.00. How much
did each pack of pencils and each notebook cost?
Answer:
6
Step-by-step explanation:
that is what it said the correct answer was
Answer: pencil (x) = 3.00, notebook (y) = 4.00
Step-by-step explanation:
Let pencils be denoted using 'x', and notebooks 'y'.
4x+12y = 60, 14x+7y=70
Let us use the method of elimination. However, neither variable has the same coefficient, so let us multiply the first equation using 7, and the second using 2.
7(4x+12y = 60) => 28x+84y=420
2(14x+7y=70) => 28x+14y=140
Let us subtract the second equation from the first. This eliminates the first variable x, and gives the equation 70y=280
Dividing either side of the equation by 70, we get y=4.
If we substitute (plug in) y=4 for the first equation we get x=3
Sam paid 75 for 15hamburgers what is the unit price of one hamburger
The cost of one hamburger is 5
look at the attached picture
Hope it will help you
Good luck on your assignment
｡☆✼★ ━━━━━━━━━━━━━━ ☾
15 burgers = 75
Divide by 15 to get the price of 1
1 burger = 5
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
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NEED HELP ASAP - 35 Pts. + BRAINLIEST for the best answer!!! (Please show your work)
Question:
The smallest insects that a bat can detect are approximately the size of one wavelength of the sound the bat makes (sonar). What is the minimum frequency of sound waves required for the bat to detect an insect that is 0.60 cm long? (Assume the speed of sound is 340 m/s.)
Answer:
a.
f
≅
580
k
H
z
b.
T
=
1.7
⋅
10
−
6
s
Explanation:
a. The formula that relates frequency and wavelength is
f
=
v
λ
where f is frequency, v is the velocity of propagation (velocity of sound in this case), and
λ
is the wavelength.
To detect this fly,
λ
needs to be
5.7
⋅
10
−
4
m
, (or shorter). Using
331
m
s
for the speed of sound,
f
=
331
m
s
5.7
⋅
10
−
4
m
=
58.07
⋅
10
4
s
−
1
≅
580
k
H
z
b. Period,
T
, is the reciprocal of frequency.
T
=
1
f
=
1
58.07
⋅
10
4
s
−
1
=
0.0172
⋅
10
−
4
s
≅
1.7
⋅
10
−
6
s
I hope this helps,
Step-by-step explanation:
what is the value of 4x+3y
Answer: 25
Step-by-step explanation:
(4)(4)+(3)(3)
square root of 476 is?
Answer:
The square root of 476 is 21.8
Answer: The answer is 21.817 I hope that helps!
Step-by-step explanation:
There are 250 freshman at Central High School. You survey 50 randomly selected freshmen and find that 35 plan to go to the school party on Friday. How many freshmen are likely to be at the party?
I think the answer is 175.
Hopefully this helps.
Which system of equations has one solution?
On a coordinate plane, 2 lines intersect at one point.
On a coordinate plane, 2 lines are parallel to each other.
On a coordinate plane, a line has a positive slope.
Answer:
A
Step-by-step explanation:
Hence, the option (A) is the correct answer i.e., On a coordinate plane, two lines intersect at one point
What are the one solution ?
One Solution Equation is when an equation has only one solution. This means that when you solve an equation, the variable can only be subsituted by one number to make an equation true.
So, when the two lines passes and intersect at one point it forms one solution so that is why option (A) is correct i.e., On a coordinate plane, two lines intersect at one point.
Hence, the option (A) is the correct answer i.e., On a coordinate plane, two lines intersect at one point
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