Let's see
[tex]\\ \rm\rightarrowtail x^2+4x-21[/tex]
[tex]\\ \rm\rightarrowtail x^2+7x-3x-21[/tex]
[tex]\\ \rm\rightarrowtail x(x+7)-3(x+7)[/tex]
[tex]\\ \rm\rightarrowtail (x-3)(x+7)[/tex]
The area of this rectangle is 132 square units.
h = 11
What is the base of the re
angle?
Please help begging u ..
Answer=12
Step-by-step explanation:
The area of a rectangle is h×b.
h=11
11×b=132
b=132/11=12 units
The area of a circle is 100π ft². What is the circumference, in feet? express your answer in terms of \piπ
Answer:
20π ft
Step-by-step explanation:
To find the circumference of the circle given its area, first find its radius.
[tex]\textcolor{steelblue}{\boxed{\text{Area of circle =}\pi {r}^{2} }}[/tex]
Substitute given area into the formula:
100π= πr²
Divide both sides by π:
100= r²
Square root both sides:
[tex]r = \sqrt{100} [/tex]
r= 10 ft
[tex]\textcolor{steelblue}{\boxed{\text{Circumference of circle = }2\pi {r}}}[/tex]
Since we have found the value of the radius, we can substitute r= 10 into the formula above to find the circumference.
Circumference of circle
= 2(π)(10)
= 20π ft
Tina's teacher wrote 7/8 on the whiteboard. What percentage is equivalent to the fraction that Tina's teacher wrote on the whiteboard?
I think it's like 0.88, but I believe that's it rounded up.
pls help ill give 15 brainliest and 5 starts question is down below
Answer:
1 is 9 sq units
2 is 12
3 is 24cm^2
Step-by-step explanation:
i
think of a number multiply it by seven then add 8 to it and the results is 29 find the number
Answer:
3
Step-by-step explanation:
29 - 8 = 21
21 / 7 = 3
Therefore, the answer is 3
Answer:
wouldnt it be 3? cause 3*7=21 then add 8 thats 29
Step-by-step explanation:
What is the simplified expression of (4-5r+8s)(5r-9)
Answer:
The simplified expression of (4-5r+8s)(5r-9) is
40r s-25r^2-72s+65r-36
(hope this helped)
The simplified expression of (4-5r+8s)(5r-9) is [tex]65r - 25r^2 + 9r + 40rs - 72s.[/tex]
The simplified expression of (4-5r+8s)(5r-9) step by step.
Understanding how to simplify expressions can be incredibly useful in algebra and will make solving equations much easier. By using the distributive property, we can multiply the terms inside the parentheses and then combine like terms to get the simplified expression.
To simplify the expression (4-5r+8s)(5r-9), we'll use the distributive property, also known as the FOIL method (First, Outer, Inner, Last). This property allows us to multiply each term in the first parentheses by each term in the second parentheses.
1. First, we multiply the term "4" in the first parentheses by each term in the second parentheses:
4 * 5r = 20r
4 * (-9) = -36
2. Next, we move to the second term in the first parentheses, "-5r," and multiply it by each term in the second parentheses:
-5r * 5r = -25r²
-5r * (-9) = 45r
3. Lastly, we move to the third term in the first parentheses, "8s," and multiply it by each term in the second parentheses:
8s * 5r = 40rs
8s * (-9) = -72s
Now, we have all the resulting terms:
20r - 36 - 25r² + 45r + 40rs - 72s.
To simplify further, we combine like terms. Like terms have the same variable(s) raised to the same power:
20r + 45r = 65r
-36 + 45r = 9r
So, the simplified expression is:
65r - 25r² + 9r + 40rs - 72s.
In mathematical terms, we applied the distributive property to multiply each term in the first parentheses by each term in the second parentheses. Then, we combined like terms to obtain the final simplified expression, 65r - 25r² + 9r + 40rs - 72s.
To know more about Algebra here
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What is the next time: 8:45, 6:15, 3:45, _______?
A) 11:15
B) 12:15
C) 1:15
D) 2:15
Answer:
A(11:15)
Step-by-step explanation:
3+3 is 6
then Is 6+2 so is 8 then ir repeats ats 3 Like 3 6 8 and then 11
2 1/3 + 3 1/8 + 1 1/24
Answer:
the answer is 6 1/2
Step-by-step explanation:
I solved using calculator
Answer:
6 1/2
Step-by-step explanation:
can someone answer this please
Answers:
Reason 23: Given
Reason 24: Reflexive Property
Reason 25: AAS
========================================================
Explanation:
Reason 23 is given because we simply restate the initial facts word for word. Whatever is said at the top "given" is copy/pasted into the table below. This explains why the second reason is "given" as well.
Reason 24 is "Reflexive Property" because any segment is congruent to itself. Think "reflexive" as in "mirror reflection".
For reason 25, we will use the AAS (angle angle side) congruence theorem. This is because we have two pairs of congruent angles (statement 1 and statement 2) as well as a pair of congruent sides (statement 3). We don't use ASA because the side FY is not between the angles mentioned. The order is important. Check out the diagram below. Take note of the color coding for the angles.
Determine whether each relation is a function. Explain. {(2,0), (2, 2), (2, 4), (2, 6)}
Would a compound event involving a standard number cube and a spinner be dependent or independent?
Since the result of the number cube and the result of the spinner do not effect each other, the events are independent.
What are dependent and independent events?When one trial affects the next trial, the events are called dependent. One example is taken a card without replacement from a standard deck, as in each trial, the number of cards remaining decreases, hence the probabilities are affected.When there is no effect of one trial on another, the events are called independent.In this problem, the result of the number cube does not affect the result of the spinner, as they are rolled separately, hence the events are independent.
More can be learned about independent events at https://brainly.com/question/14478923
ILL GIVE BRAINLIEST. ANSWER ASAP
Answer:
283 m^2
Step-by-step explanation:
To find the area of a circle, you need to times pi, in this case 3.14, by the radius,9.5 here, squared.
A= π (r^2)
Using the tree diagram below, what is the probability of getting tails and an even number?
Answer:
Can’t really help since there is no tree diagram presented.
But if you want to know the probability just in this context lets put
Tails / total
even / total
Multiply the two
(Tails / total) * (even / total)
The life spans of a computer manufacturer’s hard drives are normally distributed, with a mean of 3 years 6 months and a standard deviation of 9 months. what is the probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months? use the portion of the standard normal table below to help answer the question. z probability 0.00 0.5000 0.23 0.5910 0.33 0.6293 0.67 0.7486 1.00 0.8413 1.33 0.9082 1.67 0.9525 2.00 0.9772 32% 37% 42% 95%
The probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months is 32.22%
Given here,
Mean (μ) = 3 years 6 months
= (3×12)+6 = 42 months
Standard deviation (σ) = 9 months
We will find the z-score using the formula: z = (X - μ)/σ
Here X₁ = 2 years 3 months
= (2×12)+3 = 27 months
and X₂ = 3 years 3 months
= (3×12)+3 = 39 months
So, z (X₁ =27) =
and z (X₂ =39) =
According to the standard normal table,
P(z> -1.666...) = 0.0485 and P(z< -0.333...) = 0.3707
So, P(27 < X < 39)
= 0.3707 - 0.0485
= 0.3222
= 32.22 % [Multiplying by 100 for getting percentage]
So, the probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months is 32.22%
The probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months is approximately 0.279 or 27.9%.
What is a normal distribution?A normal distribution is a continuous probability distribution that describes a symmetric, bell-shaped curve of data.
It is also known as a Gaussian distribution or a bell curve.
The normal distribution is used to model many real-world phenomena, such as measurements of height, weight, blood pressure, and IQ scores, among others.
We have,
To solve this problem, we first need to standardize the values of 2 years 3 months and 3 years 3 months, using the mean and standard deviation of the distribution.
The mean of the distribution is 3 years 6 months, which is equivalent to 3.5 years, and the standard deviation is 9 months, which is equivalent to 0.75 years.
The standardized value of 2 years 3 months is:
z1 = (2 + 3/12 - 3.5) / 0.75 = -1.33
The standardized value of 3 years 3 months is:
z2 = (3 + 3/12 - 3.5) / 0.75 = -0.33
We can now use the standard normal table to find the probability of a randomly selected hard drive lasting between 2 years 3 months and 3 years 3 months.
P (-1.33 ≤ Z ≤ -0.33) = P(Z ≤ -0.33) - P(Z ≤ -1.33)
From the standard normal table, we find that:
P(Z ≤ -0.33) ≈ 0.3708
P(Z ≤ -1.33) ≈ 0.0918
Now,
P(-1.33 ≤ Z ≤ -0.33) ≈ 0.3708 - 0.0918 = 0.279
Thus,
The probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months is approximately 0.279 or 27.9%.
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In the figure below, triangle ABC undergoes a reflection and a translation to become triangle PQR. In triangle ABC, m
The angle measures of triangle PQR are: m
Answer:
Step-by-step explanation:
A corresponds to angle P, so angle P measues 70 degrees.
Similarly, angle Q measures 60 degrees and angle R measures 50 degrees.
(NEED ANSWER TODAY!) The dimensions of this figure are changed so that the new surface area is exactly 1/3 what it was originally.What is the new surface area?Enter your answer as a decimal in the box.
ANSWER: 202.46 if you need all the question answers just ask :D
40 points please help
IJKL is a rectangle, so opposite sides have the same length:
• IJ = KL ⇒ 6y - 6 = 2x + 20
• JK = IL ⇒ 3x + 21 = 6y
Substitute the second equation into the first and solve for x :
6y - 6 = 2x + 20
(3x + 21) - 6 = 2x + 20
3x + 15 = 2x + 20
x = 5
Solve for y :
3x + 21 = 6y
15 + 21 = 6y
36 = 6y
y = 6
How do you calculate the diameter of a circle
Answer: "How do u calculate the diameter of a circle"?
Step-by-step explanation: Calculating diameter is easy you just need the radius, the circumference, or the area. Even if you don't have any of those dimensions, you can still find the diameter if you have a drawing of the circle.
Five widgets and three gadgets cost $109. 90.
One widget and four gadgets cost $75. 70.
How much does one gadget cost?
Answer:
one gadget costs $15.80
Step-by-step explanation:
Let w = cost of one widget
Let g = cost of one gadget
Given:
Five widgets and three gadgets cost $109. 90⇒ 5w + 3g = 109.9
Given:
One widget and four gadgets cost $75. 70⇒ w + 4g = 75.7
Rewrite w + 4g = 75.7 to make w the subject:
⇒ w = 75.7 - 4g
Substitute into 5w + 3g = 109.9 and solve for g:
⇒ 5(75.7 - 4g) + 3g = 109.9
⇒ 378.5 - 20g + 3g = 109.9
⇒ 378.5 - 109.9 = 20g - 3g
⇒ 268.6 = 17g
⇒ g = 15.8
Therefore, one gadget costs $15.80
To find the cost of one widget, substitute the found value for g into
w = 75.7 - 4g and solve for w:
⇒ w = 75.7 - 4(15.8)
⇒ w = 75.7 - 63.2
⇒ w = 12.5
Therefore, one widget costs $12.50
The area of a circle is 36π cm². What is the circumference, in centimeters? Express your answer in terms of π
Answer: [tex]12\pi[/tex]
Step-by-step explanation:
The formula for area of a circle is [tex]\pi r^2=A[/tex]
The formula for circumference of a circle is [tex]2r\pi=C[/tex]
Where r is the radius
A is area
C is circumference
Knowing this we can sub our values in and solve for r in the formula for area
Divide both sides by [tex]\pi[/tex] to isolate r
[tex]\pi r^2=A\\\pi r^2=36\pi \\\frac{\pi r^2}{\pi } =\frac{36\pi }{\pi } \\r^2=36[/tex]
Take the square root of both sides
[tex]r^2=36\\\sqrt{r^2} =\sqrt{36} \\r=6[/tex]
Now sub the value of r into the formula for circumference
[tex]2r\pi =C\\2(6)\pi =C\\12\pi[/tex]
Answer:
[tex]12\pi \: c \: m[/tex]
step by step explanation:
[tex]area \: of \: a \: cirle = \pi \: r {}^{2} \\ circmferene \: of \: a \: circle = 2 \:\pi \: r \\ 36\pi = \pi \: r {}^{2} \\ 36 = r {}^{2} \\ r = 6 \\ for \: circmference \\ 2 \times \pi \: \times 6 = 12\ \: \pi \: cm [/tex]
Pls help i will give 5 starts and brainliest question is down below 9:22
Answer:
C) 390
Step-by-step explanation:
Area of Blue:
18 × 25 = 450 in
Area of White:
6 × 10 = 60 in
450 - 60 = 390
Therefore, 390 sq in is the correct answer.
Plan 1 costs $35 per month + $5 per gigabyte of extra data used Plan 2 costs $50 per month + $2 per gigabyte of extra data used
Answer:
40+52
Step-by-step explanation:
Solve the equation:
3/4x - 12 = 12
Answer:
32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
Freida tossed a coin 3 times and it always landed on head. Fine the probability of tossing a head.
Answer: 1/2
Step-by-step explanation: This is a coin. Having heads three times in a row will never change that a coin is two sided and random, meaning it will never affect the coin to always be heads. They were most likely just lucky to get heads all the time. It will always be 1/2 since the coin is inanimate and is not like selecting classmates from a team, it cannot know it's probabilities and affect it. Thus it is 1/2 probability.
This can be simplified in the equation: P(H) = 1/2, P(T) = 1/2, P(H | T) = 1/2
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
8 1/2
Step-by-step explanation:
14 inch - 5 1/2 inches = 8 1/2 inches
Aba's dog grew 8 1/2 inches.
Answer:
8.5 Inches, 2.78 pounds approximately
Step-by-step explanation:
14- n = 5.5. In this case you will have to subtract 5.5 from 14. 14 - 5.5 = 8.5. You get 2.5 pounds because, 1.10 x 2 = 2.20. 2.75 - 2.20= .55. $1.10 is 70 cents. 55/70 = 11/14= is around .78. 2+.78 = 2.78
Determine which of the following is true for expression x^3+x^2-2x
A. The equation is prime
B. x can be factored from each term of the trinomial to obtain x(x^2+x-2),which is completely factored.
C. x can be factored from each term of the trinomial to obtain x(x^2+x-1), and the resulting trinomial can be factored to obtain x(x+2)(x+1), which is completely factored
D. The trinomial is equivalent to (x+2)(x-1)
Answer:
D. The trinomial is equivalent to (x+2)(x-1)
Step-by-step explanation:
1. Factor out the common term x:
= x(x^2+x-2)
2. Factor the equation:
= x(x - 1)(x + 2)
From this, we can see that because the equation was factorable, it is not prime. Option B is not completely factored, so it is incorrect. The final ordered pair shown in Option C is has (x + 1), when it should be (x - 1), so it is also incorrect. Option D is the true statement.
Benjamin wants to purchase a new bike, but he does not have enough money in his bank account to pay for one.
Which of these is not an option for Benjamin?
He can save money and write a check once there is enough money in his account.
He can use his debit card to purchase the bike now.
He can save money and pay cash once he has enough.
He can use his credit card to purchase the bike now.
Fill in the table using this function rule.
-
y=6x-1
х
у
1
4
5
10
0
Answer:
Below
Step-by-step explanation:
According to a website, ebra
Solve for
N
by cross multiplying.
N
=
5
Tap to view steps...
Solve for s
Isolate the variable by dividing each side by factors that don't contain the variable.
s
=
8
r
−
5
t
Tap to view steps...
Solve for x
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x
>
−
6
Interval Notation:
(
−
6
,
∞
)
Tap to view steps...
Solve by Substitution
Move all terms that don't contain
x
to the right side and solve.
x
=
9
2
−
y
2
Tap to view steps...
3/31/2022 4:07 PM
How can I help you?
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Find the Function
Find the function by taking the integral of the derivative.
G
(
x
)
=
5
2
x
2
−
x
+
C
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How was this solution?
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Find the Function
I am unable to solve this problem.
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Find the Function Rule
The chosen topic is not meant for use with this type of problem. Try the examples below.
x
q
(
x
)
1
1
2
2
3
3
4
4
x
q
(
x
)
1
3
2
6
3
11
4
18
x
q
(
x
)
1
2
9
162
2
8
8
128
3
18
The height of the prism is the Blank between the bases.
Answer:
so how do i find the earea
Step-by-step explanation:
plss help!
Question: Find a,b and c
Answer:
See below, please
Step-by-step explanation:
The right：
[tex] {(y + c)}^{2} - b \times (x + a) \\ = ( {y}^{2} + 2yc + {c}^{2} ) - bx - ba = [/tex]
[tex] = {y}^{2} - bx + 2cy + {c}^{2} - ab[/tex]
The left:
[tex] = {y}^{2} - 7x - 18y + 109[/tex]
So, after comparing the right side and the left side of this equation, we know
1)
[tex]b = 7[/tex]
2)
[tex]2c = - 18 \\ so \\ c = - 9[/tex]
3)
[tex] {c}^{2} - ab = 109[/tex]
So,
[tex]a = \frac{ {c}^{2} - 109}{b} = \frac{ { (- 9)}^{2} - 109}{7} = \frac{ - 28}{7} = - 4[/tex]