Answer:
2
Step-by-step explanation:
3:1=6:2
They buy 2 pepperoni pizzas.
write 2 binomials whose product includes the term 12.
The two binomials are:
x² + 7x + 12
6x² - 13x + 6
We have,
One possible set of binomials whose product includes the term 12 is:
(x + 4)(x + 3)
Expanding this product, we get:
x^2 + 7x + 12
And,
Another set of binomials whose product includes the term 12 is:
(2x - 3)(3x - 2)
Expanding this product, we get:
6x^2 - 13x + 6
Thus,
The two binomials are:
x² + 7x + 12
6x² - 13x + 6
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Could someone explain
Answer:
top one =75
bottom one=65
Step-by-step explanation:
all angles should equal to 180
so 180-40=140
the sum of th eother two angles will be 140
so 4x-5+3x+5=140
now solve for x
x=20
subsitute for x
4(20)-5=75
3(20)+5=65
please mark brainliest if correct
The time, t in seconds that it takes a car to travel a quarter-mile when starting from a full stop can be estimated by using the formula:
(see image)
Where w = weight of the car
p = power delivered by the engine in horsepower (hp)
If the quarter-mile time for a 3,590-pound car is 13.4 s, how much power does its engine deliver? Round to the nearest pound.
Assignment:
Natasha and Daniel worked out this problem. Natasha’s answer was 295 hp and Daniel’s was 679 hp.
1. Who was right?
2. How did you determine who was right? Show each step of how each of them solved the problem.
3. Set up your Fantasy Race. Research two different cars/trucks. What is the average hp and weight of each? Based on the formula, how fast can each reach a quarter-mile? Show all the work for each.
The computation of the power shows that Natasha was right as the value gotten is 295hp.
How to calculate power?From the information given, t is given as 5.825 to the cube root of w/p.
In this case, the value of p will be:
p = w/t³(5.823)³
p = 3590(5.823)³ / (13.4)³
p = 708828.13/2406.104
p = 295hp
In conclusion, Natasha was correct.
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The following question has two parts. First, answer part A. Then, answer part B.
Gabriel's father has a garden in the back yard. The dimensions of the garden are shown here.
A green rectangle is shown. The width is labeled as 2 and two-thirds feet. The length is labeled as 7 and three-fourths feet.
Part A
Calculate the area of the garden. Show at least one step before you show your solution.
Answer:
well the answer is 20 5/6
Step-by-step explanation:
Answer:
248/12
Step-by-step explanation:
8/3 x 31/4
hope this helps (i took the test)
I don't know about part b.
Solve the separable differential equation for u, du dt = e2u+7t Use the following initial condition: u(0) = 14. = u(t) =
Thus, the equation for the u using the separable differential equation is found as: \(e^{-4u}\) / (-4) = \(e^{9t}\)/9 + \(e^{-56}\) / (-4) - 1/9 .
Explain about the separable differential equation:Differential equations that can have their variables separated to determine the equation's solution are known as separable differential equations. The formula for a separable differential equation is dy/dx = f(x) g(y), where x and y are variables that are explicitly separable from one another.
du / dt= \(e^{4u+9t}\)
du/ dt = \(e^{4u}\).\(e^{9t}\)
Now, separate the u and t terms on different sides:
du/ \(e^{4u}\) = \(e^{9t}\).dt
\(e^{-4u}\) .du = \(e^{9t}\).dt
Now, integrating both side:
\(e^{-4u}\) / (-4) = \(e^{9t}\)/9 + c ..eq 1
u(0) = 14
Put t = 0, u = 14
c = \(e^{-4u}\) / (-4) - \(e^{9t}\)/9
c = \(e^{-4*14}\) / (-4) - \(e^{9*0}\)/9
c = \(e^{-56}\) / (-4) - 1/9
Put in eq 1
\(e^{-4u}\) / (-4) = \(e^{9t}\)/9 + \(e^{-56}\) / (-4) - 1/9
Thus, the equation for the u using the separable differential equation is found as: \(e^{-4u}\) / (-4) = \(e^{9t}\)/9 + \(e^{-56}\) / (-4) - 1/9 .
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Correct question:
Solve the separable differential equation for u:
du/dt = e^(4u+9t)
Use the following initial condition: u(0)=4 . Find u = ?
How many sides has a regular polygon if it's interior angles are:144 each, 135 each
The measure of each interior angle of a regular polygon is \(\frac{180(n-2)}{n}\) degrees, where n is the number of sides.
Question 1
\(144=\frac{180(n-2)}{n}\\\\144n=180(n-2)\\\\144n=180n-360\\\\-36n=-360\\\\n=10 \text{ sides}\)
Question 2
\(\frac{180(n-2)}{n}=135\\\\180(n-2)=135n\\\\180n-360=135n\\\\-360=-45n\\\\n=8 \text{ sides}\)
Name all the different types of factoring. Explain, in words, how to do each one.
And then give an example for each. (You do not have to solve your example).
Find the coordinates of the point for the reflection.
(−4, 8) across the x-axis
The coordinates of the reflection are
Answer:
The point after the reflection: \((-4,-8)\)
Step-by-step explanation:
-Statement: If you reflect the point \((x,y)\) across x-axis or the y-axis, then the \(x\) and the \(y\) of the point can change either positive, negative or the same, depending on where the point is located on a graph.
-So, if you reflect the point \((-4,8)\) across x-axis, then the point after the reflection, would be \((-4, -8)\) :
The following point: \((-4, 8)\)
The point after the reflection: \((-4,-8)\)
Which of the following is the product of the rational expressions shown
below?
x+6 2-6
x+3 x-3
A. 22-12
B. 2-12
C. 2-366
9
OA.
OD. 12
The product of the rational expression shown above include the following: B. x² - 36/(x² - 9).
What is a rational expression?In Mathematics, a rational expression simply refers to a type of expression which is expressed as a fraction. This ultimately implies that, a rational expression is composed of two (2) main parts and these include the following:
NumeratorDenominatorIn this exercise, we would determine the product of the numerator for this rational expression and the product of the denominator for this rational expression as follows;
Product of numerator = (x + 6)(x - 6)
Product of numerator = x² + 6x - 6x - 36
Product of numerator = x² - 36
For the denominator, we have the following:
Product of denominator = (x + 3) × (x - 3)
Product of denominator = x² - 3x + 3x - 9
Product of denominator = x² - 9
Therefor, the product of the rational expression is given by x² - 36/(x² - 9).
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Can someone help me please!!
Answer:
Im pretty sure it's C
Step-by-step explanation:
Tell me if im wrong
Represent 36÷4=9 using subtraction
Answer:
You can do 36-4 -4 -4 -4 -4 -4 -4 which equals 4.
Step-by-step explanation:
Hope this helps :)
what is tablespoon to ounces?
There are 2 tablespoons in an ounce. So for 2 ounces, you will need 4 tablespoons, for 4 ounces 8 tablespoons, and so on.
A tablespoon is a unit of volume measurement in United States, and some other countries. It is equal to approximately 15 milliliters (0.51 fluid ounces). One tablespoon can be further divided into three teaspoons, meaning that one tablespoon is equal to three teaspoons.
In the United States, one tablespoon is equal to 0.5 ounce, which is equal to 14.3 grams. This is slightly different in the UK, where one tablespoon is equal to 0.6 ounces (which is equal to 17.7 grams). To convert tablespoons to ounces, you can use the following formula is 1 tablespoon = 0.5 ounces.
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As a contestant on a televised game show, Daniel gets to spin the big prize wheel, which has a diameter of 4 meters. What is the prize wheel's area?
Which graph shows the solution to the system of linear inequalities?
x + 5y25
ys2x+4
The graph which shows the solution to the system of linear inequalities is given below.
How to draw regions covered by inequalities?Suppose there is inequality given as: y ≥ f(x)
The region it covers is the region of value pairs (x,y) for which this inequality holds true.
We've to draw the region covered by it.
For a function y = f(x), there is y > f(x) on one side of the graph of the function y = f(x) in XY plane, and on other side there is y < f(x).
We just need to figure out this fact at 1 point on either side of the graph of the function y = f(x) , and then the area where y > f(x) is true, along with the curve of the function y = f(x) is included in the region covered by inequality y ≥ f(x)
We are given that;
The system of linear inequalities x + 5y < 25 and y > 2x + 4
Now,
We would need to graph the two inequalities on the same coordinate plane and shade in the region that satisfies both inequalities.
The first inequality, x + 5y < 25, can be graphed by first graphing the line x + 5y = 25 (by solving for y, y = (25 - x)/5 = 5 - (1/5)x) and then shading in the region below the line.
The second inequality, y > 2x + 4, can be graphed by first graphing the line y = 2x + 4 and then shading in the region above the line.
The solution to the system of linear inequalities is the region that satisfies both inequalities, which is the shaded region that is below the line x + 5y = 25 and above the line y = 2x + 4.
Therefore, by the given inequalities the answer will be given below
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Match the plot with a possible description of the sample.
60 70 80 90 100
Choose the correct answer below
A. Wait time (in minutes) for a sample of doctors offices
B.Ages (in years) of a sample of residents of a retirement home.
C. Highest yearly temperatures (F) for a sample of deserts.
D. Time (in hours_ spent watching TV in a day for a sample of teenagers.
Ages (in years) of a sample of retirement home inhabitants is option B. For the lowest wait time, the maximum frequency is anticipated to be right-skewed. A desert cannot have a maximum annual temperature of 60°F, and it is not conceivable to watch 60+ hours of TV in a single day.
Residents of senior living facilities are typically 84 years old. While there are many couples in these communities, the majority of people who live in independent living are women. Some people move in at or near the minimum age (often around 65), but most people do so between the ages of 75 and 84. Residents come from all different backgrounds.
Many people are choosing senior living in a community environment, including teachers, nurses, small business owners, big business CEOs, university professors, housewives, lawyers, engineers, musicians, and more. Current residents will attest that the rich diversity of origins fosters amazing interactions and relationships. And contrary to popular belief, the majority of residents of independent living are quite active.
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Correct Question:
Match the plot with a possible description of the sample.
60 70 80 90 100
Choose the correct answer below
A. Wait time (in minutes) for a sample of doctors offices
B. Ages (in years) of a sample of residents of a retirement home.
C. Highest yearly temperatures (F) for a sample of deserts.
D. Time (in hours_ spent watching TV in a day for a sample of teenagers.
What is the subtotal of your purchase?
Food was $32.91
Drinks were $9.27
Answer:
42.18
Step-by-step explanation:
Hope this helps and I hope you have a wonderful rest of your day!!! :)
BRAINIEST is appreciated it would really help me
The point (6, -6) is reflected over the x-axis. What are the coordinates of the resulting point
Answer:
(-6,-6)
Step-by-step explanation:
(x,y) becomes (-x,y) when reflected over the x-axis
David is thinking of two numbers, x and y. He says that if he adds them together, the sum is negative. Select all the correct explanations of how this is possible. A. Both numbers are negative. B. x is negative, and |x| > |y|. C. x is negative, and |x| < |y|. D. y is negative, and |x| < |y|. E. David is wrong. The sum of two numbers cannot be negative.
Answer: A, B and D.
Step-by-step explanation:
We have two numbers, x and y.
And we know that:
x + y is a negative number.
Then it can happen if:
1) x and y are negative numbers.
remember that when we add two negative numbers, for example -2 and -3 we have:
-2 + (-3) = -5
The sum of two negative numbers is always negative.
2) we have a positive and a negative number, but the absolute value of the negative number is larger than the absolute value of the positive.
For example, if we have -5 and 3.
The positive number is 3 and the negative is -5
and I-5I > I3I
Then when we add those:
-5 + 3 = -2
The result is also a negative number.
Then the correct options are:
A. Both numbers are negative.
B. x is negative, and |x| > |y|. (here says that the negative number is larger in absolute value than the other)
D. y is negative, and |x| < |y|. (this is similar as above, but in this case the negative number is y)
need helpi dont really get it to need help
Answer:
C
Step-by-step explanation:
There are 12 months in 1 year , then
3 lots of 4 months in 1 year and
3 × 3 = 9 lots of 4 months in 3 years
cost of lessons = $174 × 9 = $1566 → C
2. determine whether f is a function from z to r if a) f (n) = ±n. b) f (n) = √n2 1. c) f (n) = 1∕(n2 − 4)
No, f is not a function from Z to R because it is undefined for n = ±2, and a function must be defined for all inputs in its domain.
(a) f(n) = ±n:
No, f is not a function from Z to R because for each n, it has two possible outputs, +n and -n. A function must have only one output for each input.
(b) f(n) = √(n^2 + 1):
Yes, f is a function from Z to R because for each n, it has only one possible output which is a real number.
(c) f(n) = 1/(n^2 - 4):
No, f is not a function from Z to R because it is undefined for n = ±2, and a function must be defined for all inputs in its domain.
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I need help I'm so tired and my brain can't think someone pls help a sista out
The table of equivalent ratios is as follows:
miles gallons
25 1
225 9
250 10
Her car uses 9 gallons of gas to drive 225 miles.
Sophia used 1 gallon of gas:Therefore,
9 gallons of gas drives 225 miles
1 gallon of gas will drive ?
cross multiply
distance drove = 225 / 9 = 25 miles.
Sophia covered 250 miles:
25 miles requires 1 gallon of gas
250 miles will require ?
cross multiply
gallons of gas = 250 / 25 = 10 gallons
The points coordinates are represented on the graph below:
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Greg has $30 in a savings account that earns 10% interest, compounded annually.
to the nearest cent, how much interest will he earn in 2 years?
Greg will earn $36.30 in 2 years, to the nearest cent. The interest earned will be $36.30 - $30 = $6.30.
To calculate the interest that Greg will earn in 2 years, you can use the formula for compound interest:
\(A = P(1 + r/n) ^ {nt}\)
where A is the total amount of money after earning interest, P is the principal (initial amount of money), r is the annual interest rate, n is the number of times per year that interest is compounded, and t is the number of years.
Plugging in the values for this problem, we get:
\(A = $30(1 + 0.10/1) ^ {1*2}\\= $30(1.10) ^ 2\\= $30(1.21)\\= $36.30\)
So Greg will earn $36.30 in 2 years, to the nearest cent. The interest earned will be $36.30 - $30 = $6.30.
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what proportion of the variation in y can be explained by the variation in the values of x? report answer as a percentage accurate to one decimal plac
The relation R is not reflexive, but it is symmetric and transitive.
What is transitivity?A homogeneous relation R over the set A, which comprises the elements x, y, and z, is known as a transitive relation. If R relates x to y and y to z, then R likewise relates x to z.
For x, y ∈ Z, xRy if and only if (x+y)² ≡ ±1.
(a) Reflexivity: For x ∈ Z, we have (x + x)² = 4x² ≡ 0 (mod 1), which is not equal to ±1. Therefore, xRx does not hold for any x ∈ Z, and R is not reflexive.
(b) Symmetry: For x, y ∈ Z, if xRy, then (x + y)² ≡ ±1. This implies that (y + x)^2 ≡ (x + y)² ≡ ±1. Therefore, yRx also holds, and R is symmetric.
(c) Transitivity: For x, y, z ∈ Z, if xRy and yRz, then (x + y)² ≡ ±1 and (y + z)² ≡ ±1. Expanding these expressions, we get:
(x + y)² ≡ ±1 => x² + 2xy + y² ≡ ±1
(y + z)² ≡ ±1 => y² + 2yz + z² ≡ ±1
Adding these two equations, we get:
x² + 2xy + y² + y² + 2yz + z² ≡ ±2
Simplifying, we get:
x² + 2xy + 2yz + z² ≡ ±2 - 2y²
Now, we need to show that (x + z)² ≡ ±1. Expanding (x + z)², we get:
(x + z)² = x² + 2xz + z²
Substituting x² + 2xy + 2yz + z² ≡ ±2 - 2y², we get:
(x + z)² ≡ 2 - 2y² + 2xz
To complete the proof, we need to show that there exists some integer k such that 2 - 2y² + 2xz - k² ≡ ±1. We can rewrite this expression as:
2xz - k² ≡ 2y² - 3 (mod 4)
Since the left-hand side is even, the right-hand side must also be even. Therefore, y² ≡ 1 (mod 4), which implies that y is odd.
Now, we can substitute y = 2m + 1 for some integer m, and simplify:
2xz - k² ≡ 8m² + 8m - 1 (mod 4)
We can rewrite the right-hand side as 4(2m² + 2m) - 1, which is congruent to -1 (mod 4). Therefore, there exists some integer k such that 2xz - k² ≡ ±1, which implies that (x + z)² ≡ ±1. Hence, xRz holds, and R is transitive.
In summary, the relation R is not reflexive, but it is symmetric and transitive.
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angels has a collection of nickels and quarters worth 8.80. if she has 68 nickels and quarters, how many quarters does she have?
Answer:
She has 27 quarters
Step-by-step explanation:
Let:
x = Number of nickels
y = Number of quarters
US$0.05 = 5 cents = monetary value of a nickel
US$0.25 = 25 cents = monetary value of a quarter
x + y = 68
x = 68 - y ---- -------- (equation i)
0.05x + 0.25y = 8.80----- (equation ii)
These two are linear simultaneous equations, which can be solved either by substitution, elimination or graphical method.
Substitution method:
Substitute (equation i) into (equation ii) to solve for y:
0.05(68 - y) + 0.25y = 8.80
Expand the brackets by applying the Distributive Law and then bring all the like terms together. y needs to be isolated and made the subject of the equation:
= 3.4 - 0.05y + 0.25y = 8.80
= 0.25y - 0.05y = 8.80 - 3.40
= 0.20y = 5.40
= y = \(\frac{5.40}{0.20}\)
∴ y = number of quarters = 27
Which angle measures are correct? Select three options,
OmZX= 55°
OmZW = 125°
OmZW = 55°
mZZ = 125°
mZZ = 55°
PLEASE ANSWER FAST TIMED TEST
Answer:
m∠W = 125°
m∠X = 55°
m∠Z = 55°
Step-by-step explanation:
The shape is parallelogram WXYZ. m∠Y = 125.
A parallelogram is a quadrilateral shape in which both opposite sides and opposite angles are equal to each other. The diagonals of a parallelogram bisect each other. Also consecutive angles in a parallelogram are supplementary.
Therefore in parallelogram WXYZ:
m∠Z + m∠Y = 180° (Consecutive angles in a parallelogram are supplementary)
m∠Z + 125 = 180
m∠Z = 180 - 125
m∠Z = 55°
m∠W = m∠Y (Opposite angles are equal)
m∠W = 125°
m∠W + m∠X = 180° (Consecutive angles in a parallelogram are supplementary)
m∠X + 125 = 180
m∠X = 180 - 125
m∠X = 55°
*PLS MUST ANSWER ASAP*
Answer:the 3rd option
Step-by-step explanation:
In a survey of 1316 people, 926 people said they voted in a recent presidential election. Voting records show that 68% of eligible voters actually did vote. Given that 68% of eligible voters actually did vote, find the probability that among 1316 randomly selected voters, at least 926 actually did vote, then determine what the results suggest.
The correct option is,
⇒ Some people are being less than honest because P (x ≥ 0.26) is less than 5%.
We have to given that,
In a survey of 1316 people, 926 people said they voted in a recent presidential election. Voting records show that 68% of eligible voters actually did vote.
And, 68% of eligible voters actually did vote.
We can used the formula,
z = √n (p' - p) / √p(1-p)
Substitute all the values, we get;
z = √1316 (925.5/1316 - 0.68) / √0.68 (1 - 0.68)
z = 1.80
Hence, The probability that among 1316 randomly selected voters, at least 926 actually did vote is,
P (X ≥ 926) = P (Z ≥ 1.809..) = 0.035 < 0.05
Therefore, The correct option is B.
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If the ratio between blue macaws and red macaws that live in Brazil is 272:208, how many blue macaws are there if 2,730 red macaws are living in Brazil?
2652 blue macaws are there if 2,730 red macaws are living in Brazil.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that the ratio between blue macaws and red macaws that live in Brazil is 272 : 208
We need to find the number of blue macaws are there if 2,730 red macaws are living in Brazil.
Let x be the number of blue macaws for 2,730 red macaws are living in Brazil.
Let us form a proportional equation
272/208=x/2730
Apply cross multiplication
272×2730=208x
742560=208x
Divide both sides by 208
2652=x
Hence, 2652 blue macaws are there if 2,730 red macaws are living in Brazil.
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Select all representations. That represent the number of squares in step n.
In ΔNOP, \overline{NP}
NP
is extended through point P to point Q, \text{m}\angle NOP = (3x+8)^{\circ}m∠NOP=(3x+8)
∘
, \text{m}\angle PNO = (2x+9)^{\circ}m∠PNO=(2x+9)
∘
, and \text{m}\angle OPQ = (8x-16)^{\circ}m∠OPQ=(8x−16)
∘
. What is the value of x?x?
Answer:
x=11
Step-by-step explanation:
Using the Exterior Angle Theorem. . .
(3x+8) + (2x+9) = (8x-16)
Solve to get x = 11