Answer:
The vertex is the minimum point on the graph, which is (1,-2)
What is the area of a circle whose radius is 4 ft?
Answer:
16π ft²
Step-by-step explanation:
The formula is [ A = πr² ]
A = π(4)²
A = 16π
Best of Luck!
C 16
Step-by-step explanation:
i took the quiz
Diagrams like the one in problem 3-87 are referred to as area models. Area models represent multiplication of algebraic expressions. For each multiplication expression, sketch an area model Label the dimensions and the area of each part. Then write an equation showing that the area as a product equals the area as a sum. a (x + 1)(x + 2) b. 3(2x + 5) c. (2x - 3)(x + 2) d. (x - 1)(y-1) e. --2y(y + 3) f.(-2+1)(3x + y - 4)
We have to sketch an area model for the expression:
\(3(2x+5)\)We can write it mathematically as:
\(3(2x+5)=3\cdot2x+3\cdot5=6x+15\)Then, the product of the sides 3 and (2x+5) are equal to the sum of 6x and 15.
Answer: 3(2x+5) = 6x+15
A house blueprint has a scale of 1in : 10ft the length and width of each room in the actual house are shown in the table complete the table by finding the length and width of each room on the blueprint
Help me with this one
Answer:
30x40=3inx4in
50x50=5inx5in
40x20=4inx2in
30x40=3inx4in
30x30=3inx3in
35x40=3.5inx4in
Step-by-step explanation:
3 divided by 5/6=___
Answer:
2.5
Step-by-step explanation:
6. Subtract the polynomials.
2
(- 4g + 7g + 8) - (3g² - 4g - 5).
The polynomials 2(- 4g + 7g + 8) - (3g² - 4g - 5) is -3 g^2+10 g+21.
What is polynomials?
An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
\($$\begin{aligned}& 2(-4 g+7 g+8)-\left(3 g^2-4 g-5\right) \\& -4 g+7 g+8=3 g+8 \\& -\left(3 g^2-4 g-5\right)=-3 g^2+4 g+5 \\& =2(3 g+8)-3 g^2+4 g+5\end{aligned}$$\)
Expand \($2(3 g+8): \quad 6 g+16$\)
=6 g+16-3 g^2+4 g+5
Group like terms
=-3 g^2+6 g+4 g+16+5
Add similar elements: 6 g+4 g=10 g
=-3 g^2+10 g+16+5
Add the numbers: 16+5=21
=-3 g^2+10 g+21
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i need help. this is algebra 2 and im currently going “bootcamp for it*
Answers:
8
6
1
3
Reason:
Add 5 to each value in the f(x) column.
Example: 3+5 = 8 for the first row.
This will shift each point 5 units up. This is because we're moving 5 units up the y axis.
Aaron wants to draw the development of a cylinder. Which method of development should he use?
A.
parallel line
B.
approximate
C.
triangulation
D.
radial line
E.
non-curved to non-curved triangulation
Answer:
The correct option is A. Parallel line.
1. Is G (cost) a function of t (time)? Explain your reasoning
2. Is t (time) a function of G (cost)? Explain your reasoning.
{G} is the function of {t} and vice - versa is also true.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is a graph as shown in the image.
{ 1 } -
Yes, the given function G{t} is the function of {t}. It is a piecewise function.
{2} -
Let the given function is -
y = G{t}
We can find the inverse as -
t = G⁻¹{y}
Yes, {t] is also the function of {G}.
Therefore, it can be concluded that {G} is the function of {t} and vice - versa is also true.
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someone help me question below
(please NO LINKS)
Answer:
option A 12x is the correct answer
Please help worth 10 points is this true that line n is perpendicular to line p? I think the answer is C, is this correct or not?
Answer: A
because slope are
Hi guys, me again, need help on this pls.
Answer:
5/6, 30/36, 50/60
Step-by-step explanation:
remember, when changing the denominator via a multiplication factor, we need to multiply the numerator with the same factor to keep the actual value of the fraction unchanged, and only the optical appearance is changed, so that we can compare it more easily.
and what factor are we multiplying the denominator (and therefore also the numerator) with ?
whatever we need to change it to a denominator value that allows us then to compare the numerators.
so, 10/12 is the reference.
please notice, that this is also the same as 5/6 (after dividing numerator and denominator by 2).
we need to compare this with
2/3
what do I need to multiply 3 (the denominator) with to get 12 (or 6) ?
3x = 12
x = 12/3 = 4
or
3x = 6
x = 2
so, we need to multiply 2/3 by 4/4 or by 2/2 to compare it to our reference.
2/3 × 4/4 = (2×4) / (3×4) = 8/12
so, as 8/12 is not 10/12, this is not an equivalent answer option.
5/6
hey, this is the same as our simplified reference. so, this is correct.
just to be formally complete :
6x = 12
x = 2
5/6 × 2/2 = (5×2) / (6×2) = 10/12
=> again, correct
12/24 (= 1/2 => not correct)
again to be formally complete :
24x = 12
x = 12/24 = 1/2
12/24 × (1/2)/(1/2) = (12 × 1/2) / (24 × 1/2) = 6/12
6/12 is not 10/12
30/36
36x = 12
x = 12/36 = 1/3
30/36 × (1/3)/(1/3) = (30 × 1/3) / (36 × 1/3) = 10/12
correct.
50/60
60x = 12
x = 12/60 = 1/5
50/60 × (1/5)/(1/5) = (50 × 1/5) / (60 × 1/5) = 10/12
correct.
60/84
84x = 12
x = 12/84 = 1/7
60/84 × (1/7)/(1/7) = (60 × 1/7) / (84 × 1/7) = (60/7)/12
60/7 is not 10, so the fraction is not 10/12.
so, not equivalent.
The function f(x)=x(200-x) models the area of a pasture, in square yards, as a function of its length. Which are possible lengths of the pasture? 125 yards 200 yards 170 yards 225 yards 210 yards
Answer:
(a): x = 125 yards.
(c): x = 170 yards.
Step-by-step explanation:
Given
\(f(x) = x(200 - x)\)
\(x = length\\\\\)
\(f(x) = area\)
Required
Determine the possible length
For a length to be possible or usable, the calculated area must be greater than 0.
(a): x = 125 yards.
\(f(x) = x(200 - x)\)
Substitute 125 for x
\(f(125) = 125 * (200 - 125)\)
\(f(125) = 125 * 75\)
\(f(125) = 9375\)
(b): x = 200 yards.
\(f(x) = x(200 - x)\)
Substitute 200 for x
\(f(200) = 200 * (200 - 200)\)
\(f(200) = 200 * 0\)
\(f(200) = 0\)
(c): x = 170 yards.
\(f(x) = x(200 - x)\)
Substitute 170 for x
\(f(170) = 200 * (200 - 170)\)
\(f(170) = 200 * 30\)
\(f(170) = 6000\)
(d): x = 225 yards.
\(f(x) = x(200 - x)\)
Substitute 225 for x
\(f(225) = 200 * (200 - 225)\)
\(f(225) = 200 * (- 25)\)
\(f(225) = -5000\)
(e): x = 210 yards.
\(f(x) = x(200 - x)\)
Substitute 210 for x
\(f(220) = 200 * (200 - 210)\)
\(f(220) = 200 * (- 10)\)
\(f(220) = -2000\)
From the above calculations, only values of x that are 125 and 170 makes the function true
Choose the sentence with correctly placed commas.
Question 2 options:
A. New students, experience social stress to say the least, on top of the stress of change.
B. New students experience social stress, to say the least, on top of the stress of change.
C. New students experience social stress, to say the least on top of the stress of change.
D. New students experience social stress to say the least, on top of the stress of change.
Answer:
Step-by-step explanation:
Option D
Tom swam to the bottom of a swimming pool that was 9 feet deep and he touched the
bottom. He then swam back to the surface. How many feet did Tom swim?
Answer:
18 I guess if he can swim straightdown and straight up :-)
Step-by-step explanation:
9+9=18
Francisco invested $5,000 into an account that earns 3% compounded
quarterly. How many times will Francisco earn interest after keeping the money in
the account for 5 years?
What will be the value of his account in 5 years if he does not make any
additional deposits or withdrawals?
Answer: To calculate how many times Francisco will earn interest after keeping the money in the account for 5 years, we need to determine the number of quarters in 5 years.
Since there are 4 quarters in a year, the total number of quarters in 5 years is:
4 quarters/year x 5 years = 20 quarters
Therefore, Francisco will earn interest 20 times over the 5-year period.
To calculate the value of his account in 5 years, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = the final amount
P = the principal amount (initial investment)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the time the money is invested (in years)
In this case, P = $5,000, r = 0.03, n = 4 (since the interest is compounded quarterly), and t = 5. Substituting these values into the formula, we get:
A = $5,000(1 + 0.03/4)^(4x5)
A = $5,000(1.0075)^20
A = $5,866.02
Therefore, the value of Francisco's account in 5 years, if he does not make any additional deposits or withdrawals, will be $5,866.02.
Step-by-step explanation:
45 is what percent of 82
what percent of 5 is 26
Round each answer to the nearest TENTH!
HELP FINALS TODAY :(
Answer:
45 is 54.9 percent of 82.
26 is 520% of 5.
Answer:
45 is 55% of 82 and 520% of 5 is 26.
Step-by-step explanation:
First you want to set up a proportion, using the is over of formula (Is/of= %/100). In the first problem, 45 will be the is, 82 will be the of, for % will be the x, and 100 will go on the bottom (it will look something like this: 45/82=x/100). When you solve it, you get around 55 (45x100/82.) Same thing for the next equation, use the same formula (is/of=%/100) which turns into: 5/26= x/100 and you get 520%.
Evaluate the expression:
(4 * 5)2 – 6 + 3 = (pls help)
In a standardized IQ test, scores are normally distributed with a mean score of 100 and a standard deviation of 15. Find the probability that a randomly selected person has an IQ score higher than 125.
Answer:
0.0475
Step-by-step explanation:
First find the z-score.
z = (x − μ) / σ
z = (125 − 100) / 15
z = 1.67
Use a calculator or chart to find the probability. Using a chart:
P(Z > 1.67) = 1 − P(Z < 1.67)
P(Z > 1.67) = 1 − 0.9525
P(Z > 1.67) = 0.0475
The probability that a randomly selected person has an IQ score higher than 125 is 0.0475.
Given that, mean score(μ)=100, standard deviation (σ)=15 and an IQ score higher than 125.
What is standard deviation?Standard deviation is the positive square root of the variance. Standard deviation is one of the basic methods of statistical analysis. Standard deviation is commonly abbreviated as SD and denoted by 'σ’ and it tells about the value that how much it has deviated from the mean value.
First find the z-score, using
z = (x - μ)/σ
z = (125 - 100)/15
z = 1.67
Use a calculator or chart to find the probability, Using a z-score chart we get
P(Z > 1.67) = 1 - P(Z < 1.67)
P(Z > 1.67) = 1 - 0.9525
P(Z > 1.67) = 0.0475
Hence, the probability that a randomly selected person has an IQ score higher than 125 is 0.0475.
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What is the value of x in equation -2(x+6)=24-8x?
Please tell me I put 100 points for this
Answer:
it is a -3/-2
Step-by-step explanation:
Please help me someone my work is due in pretty soon somebody please help me
Somebody please answer
1 and 2 fully for me I will mark you as brainlest
Answer:
take a better pic, i cant read that. but i can help if u insert a new pic
Step-by-step explanation:
What graph represents the following piecewise defined function?
g(x)={x^2, x<0, 1/2x, 0 4
Answer:
option 2
Step-by-step explanation:
The graph represents the following piecewise defined function is attached below.
What is a function?A function is an expression that illustrates the connection between two or more variables and numbers. A function defined by several subfunctions, each of which is applicable to a distinct interval in the domain, is said to be piecewise.
We have a function,
g(x) = { x², x<0
1/2 x , 0<x<4
A function defined by several subfunctions, each of which is applicable to a distinct interval in the domain, is said to be piecewise.
The below-attached piecewise function is available.
Given the following piecewise function, the graph is attached below.
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Write the phrase as a variable expression..
The product of 3 and the sum of a number and 2
Using the graph determine the coordinates of the zeros of the parabola
Answer:
-5 and -The zeros of a parabola are the points on the parabola that intersect the line y = 0 (the horizontal x-axis). Since these points occur where y = 0,
Dividing integers, please help
Answer:
The percent of Dan's average did he score during this game is 11.11%
What percent of Dan's average did he score during this game?
Dan's score in the high school basketball team during last game= 18 points
Dan's score in the high school basketball team during this season = 20 points
Percent of Dan's score during this game = (20 - 18) / 18 × 100
= 2/18 × 100
= 11.11%
In conclusion, Dan scored an average percentage of 11.11% during this game.
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A bag of mixed sweets contains 20 fruit drops, 15 chewing gum and 12 toffees. If three sweets are chosen at random what is the probability that they are: All different, All fruit drops, All the same, All not fruit drops.
The probabilities that they are all different, All fruit drops, All the same, All not fruit drops are 2.22%, 7.03%, 11.2%, and 18.96%, respectively.
What is Probability?Probability helps us to know the chances of an event occurring. The sum of all the probabilities of an event is always equal to 1. The formula for probability is given as,
Probability= Desired Outcomes / Total Number of outcomes possible
Given that the bag of mixed sweets contains 20 fruit drops, 15 chewing gum and 12 toffees. Therefore, the probabilities can be written as,
Probability of getting a fruit drop = 20/47
Probability of not getting a fruit drop = 1 - (20/47) = 0.574468
Probability of getting a chewing gum = 15/47
Probability of getting a toffee = 12/47
Now, we can write the following probabilities as,
a.) Probability of getting All different
= (20/47) × (15/46) × (12/45)
= 0.2553 × 0.326 × 0.2667
= 0.02219
= 2.22%
b.) Probability of getting all fruit drops,
= (20/47) × (19/46) × (18/45)
= 6840 / 97290
= 0.0703
= 7.03%
c.) Probability of getting all the same
= Probability of getting all fruit drops + Probability of getting all chewing gum + Probability of getting all toffee
= [(20/47) × (19/46) × (18/45)] + [(15/47) × (14/46) × (13/45)] + [(12/47) × (11/46) × (10/45)]
= (6840/97290) + (2730/97290) + (1320/97290)
= 0.112
= 11.2%
d.) Probability of getting all not fruit drops
= (Probability of not getting a fruit drop)³
= 0.574468³
= 0.189582
= 18.96%
Hence, the probabilities are calculated for different cases as shown above.
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1. A cannonball is fired and its height, h, in meters above the
ground, t seconds after being fired is given by
h (t)= -5t² + 40t + 3. Determine how many seconds it takes
to reach its maximum height.
Step-by-step explanation:
any extreme point (incl. the requested max.) is a zero of the first derivation of the function.
h'(t) = -10t + 40
and that must be 0.
so,
0 = -10t + 40
10t = 40
t = 40/10 = 4
it takes 4 seconds to reach the max. height.
and that max. height is
-5×4² + 40×4 + 3 = -80 + 160 + 3 = 83 m.
Which equation can be simplified to find the inverse of y = 5x^2 + 10?
Answer:
Step-by-step explanation:
Here's the solution
f^(-1)(x)=(\sqrt(5(x-10)))/(5), -(\sqrt(5(x-10)))/(5)
Determine the turning points and distinguish between them when necessary y=x³ - 3x - 9x + 4
The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).
To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.
1. Find the derivative of the function:
y' = 3x² - 6x - 9
2. Set the derivative equal to zero and solve for x:
3x² - 6x - 9 = 0
3. Factorize the quadratic equation:
3(x² - 2x - 3) = 0
4. Solve the quadratic equation by factoring or using the quadratic formula:
(x - 3)(x + 1) = 0
This gives us two possible values for x: x = 3 and x = -1.
5. Substitute these critical points back into the original function to find the corresponding y-values:
For x = 3:
y = (3)³ - 3(3)² - 9(3) + 4
= 27 - 27 - 27 + 4
= -23
For x = -1:
y = (-1)³ - 3(-1)² - 9(-1) + 4
= -1 - 3 + 9 + 4
= 9
6. Therefore, the turning points are (3, -23) and (-1, 9).
Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.
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