Answer:
9
Step-by-step explanation:
Complete the chart. fraction decimals and percents. 40%=what in fraction form?
Given the expression x- + 8x + 5, find the equivalent
expression in vertex form.
(x+4)² – 11
(x+8)2 + 21
(x+4) +9
(x+8) ² – 59
Answer:
(x+4)^2-11
hope it's helpful ❤❤❤❤
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THANK YOU.
Divide. round your answer to the nearest hundredeth: 1 divided by 3 = the steps are decimals?
Answer: 1/3 or 1 divided by 3 is equivalent to 0.333333
Answer:
0,33
Step-by-step explanation:
this for sure.......
For any positive integer n, the value of n! is the product of the first n positive integers. For example, 4! = 4 * 3 * 2 * 1 =24. What is the greatest common divisor of 5! and 7! ?
The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.
the greatest common divisor of 5! and 7! is 120.
To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.
First, let's calculate the values of 5! and 7!:
5! = 5 * 4 * 3 * 2 * 1 = 120
7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040
Now, let's factorize both numbers:
Factorizing 120:
120 = 2^3 * 3 * 5
Factorizing 5,040:
5,040 = 2^4 * 3^2 * 5 * 7
To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).
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the similarly between constant and term
a constant is a term.
Explanation:A term refers to a number or variable or a combination of number and variable
A constant is a term without variables
For instance:
5x - 8
5x is a term as it is a combination of number and a variable
x is the variable
-8 is a number and a constant as it doesn't have a variable attached to it.
-8 is also a term.
Hence, a constant is a form of a term.
A package contains 20 golf balls. The total
weight of the golf balls is 32 ounces. Use the
model to show the number of ounces per
golf ball and the number of golf balls per
ounce. Write your answers in the blanks.
Answer: 1.6
Step-by-step explanation:
each golf is 1.6 ounces and you 20 golf balls in order to reach 32 ounces
Answer:
shown below
Step-by-step explanation:
golf balls per ounce = 5/8 or 0.625
ounces per gold ball = 8/5 or 1.6
Solve the system of inequalities by graphing.
y ≥ 2
y < 4
Select a line to change it between solid and dotted. Select a region to shade it.
The area between the solid line (y=x+4) and the dotted line (y=-2x-2) represents the system of inequalities solution set.
Two linear inequalities system on a coordinate plane. The first has a solid line graphed with a negative slope of one, a negative y-intercept, and a shaded origin area. The area encompassing the origin is shaded, and the second is a dashed vertical line 3 units to the left of the origin.
x ≥ –3; y ≥ x – 2
x > –3; 5y ≥ –4x – 10
x > –3; y ≥ –x + 1
x > –2; y ≥ –x – 1
The solution set for the system of inequalities is represented by the region between the solid line (y=x+4) and the dotted line (y=-2x-2).
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4. What is the value of the underlined digit?
4,506,204,395.9812
The underlined digit being 8
Answer:
hundreth, because it is the second digit after the decimal point.
Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars. At the counter, he received a discount. If he only paid 22 dollars total, how many dollars was the discount?
There was 4 dollar of discount on the total amount.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars.
At the counter, he received a discount. If he only paid 22 dollars total, then
Total cost 11 + 15 = 26
But 26 - 22 = 4
Therefore, the discount was 4 dollar.
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The total cost of 5 kg rice and 6 kg sugar is Rs 940. If the
rate of rice increases by 20% and the rate of sugar decreases
by 10%, the total cost of 4 kg rice and 3 kg sugar will be
Rs 627. By what percent the cost of 1 kg rice is more or less
than the cost of 1 kg sugar. Find it.
The percent cost of 1 kg rice is less than the cost of 1 kg sugar by 11 1/9%.
What is percent increase?We first calculate the difference between the original value and the new value when comparing a rise in a quantity over time. The relative increase in comparison to the initial value is then determined using this difference, and it is expressed as a percentage.
Let the cost price of rice is R and cost price of sugar is S.
Case 1 : total cost of 5 kg rice and 6 kg sugar is Rs. 940.
5R + 6S = 940 ...(1)
Case 2 : rate of rice increased by 20% and the rate of sugar decreased by 10%.
The new cost price of rice = R + 20% of R = 1.2R
The new cost price of sugar = S - 10% of S = 0.9S
So, the total cost of 4 kg rice and 3 kg sugar will be Rs. 627.
Thus,
4 × 1.2R + 3 × 0.9S = 4.8R + 2.7S = 627 ..(2)
From equations (1) and (2) we have,
(5R + 6S)/(4.8R + 2.7R) = 940/627
R/S = 8/9
Hence, if the price of rice is 8 then the price of sugar is 9.
It is clear that the price of sugar is more than that of rice.
The percent cost by which cost of rice is less than sugar is:
(9 - 8)/ 9 (100) = 11 1/9%.
Hence, the cost of 1 kg rice is less than the cost of 1 kg sugar by 11 1/9%.
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The tree in Pablo‘s backyard is 9.8 m high. how high is it in centimeters?
Answer:
980 cm
Step-by-step explanation:
Each meter is 100 cm. Multiply 9.8 by 100 to get 980
If Damien does a job in 21 hours less time than Caitlyn, and they can do the job together in 14 hours, how
long will it take each to do the job alone?
Answer: Damien = 7.5 hours and Caitlyn = 28.5 hours
Step-by-step explanation:
Damien = X -21
Caitlyn = X
2X - 21 = 14
2X = 14 + 21
X = (14+21)/2
X = 7.5
Given that EFJ = 2mKFG, find EFJ.
The measure of ∠EFJ is 60°. Option B is the correct option.
What is a linear pair?
When two lines cross at one point, a linear pair of angles are created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. These are also referred to as supplementary angles.
∠EFG is a linear pair of angle.
This means ∠E F G = 180°
Given that ∠J F K = 90° and ∠E F J = 2∠K F G.
∠E F G is the sum of angles ∠E F J, ∠J F K and ∠K F G
∠E F G = ∠E F J + ∠J F K + ∠K F G
Now putting the value of ∠E F G, ∠J F K
180° = ∠E F J + 90° + ∠K F G
Again putting ∠K F G = 1/2∠E F J:
180° = ∠E F J + 90° + 1/2∠E F J
180° - 90° = 3/2 ∠E F J
90° = 3/2 ∠E F J
∠E F J = 90° ×(2/3)
∠E F J = 60°.
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What is the value of x in the solution to this system of equations?
4x+y=18
x=15−2y
A. 2
B. 3
C. 4
D. 6
Step-by-step explanation:
(1 point)
No, there isn't a more efficient way to solve this system.
Yes, a more efficient way is to multiply the first equation by 4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate x, then solve for y.
A convex lens with focal length f centimeters will project the image of an object on a
point behind the lens. If an object is placed a distance of p centimeters from the lens,
then the distance q centimeters of the image from the lens is related to p and f by the
lens equation: 1/p+1/q=1/f
A. If the focal length of the convex lens is supposed to be 5 cm, and if the image is
formed 7 cm from the lens, find the distance from the lens to the object, p. (It’s not necessary to simplify your answer.)
B. Find an expression that gives q as a function of p, assuming that the focal length is a constant of 5 centimeters.
C. Sketch a graph of q as a function of p (i.e., q(p)), assuming that the focal length is a
constant of 5 centimeters. Show any important features of the graph.
D. Find limq(p) as p approaches infinity and limq(p) as p approaches 5from the positive side. What do these limits represent physically? What must
happen to the distance of the image and the object?
Answer:
A. Using the lens equation, 1/p + 1/q = 1/f, and substituting f = 5 cm and q = 7 cm, we can solve for p:
1/p + 1/7 = 1/5
Multiplying both sides by 35p, we get:
35 + 5p = 7p
Simplifying and rearranging, we get:
2p = 35
Therefore, the distance from the lens to the object, p, is:
p = 35/2 cm
B. Solving the lens equation, 1/p + 1/q = 1/f, for q, we get:
1/q = 1/f - 1/p
Substituting f = 5 cm, we get:
1/q = 1/5 - 1/p
Multiplying both sides by 5qp, we get:
5p = qp - 5q
Simplifying and rearranging, we get:
q = 5p / (p - 5)
Therefore, the expression that gives q as a function of p is:
q = 5p / (p - 5)
C. Here is a sketch of the graph of q(p):
The graph is a hyperbola with vertical asymptote at p = 5 and horizontal asymptote at q = 5. The image distance q is positive for object distances p greater than 5, which corresponds to a real image. The image distance q is negative for object distances p less than 5, which corresponds to a virtual image.
D. Taking the limit of q as p approaches infinity, we get:
lim q(p) = 5
This represents the horizontal asymptote of the graph. As the object distance becomes very large, the image distance approaches the focal length of the lens, which is 5 cm.
Taking the limit of q as p approaches 5 from the positive side, we get:
lim q(p) = -infinity
This represents the vertical asymptote of the graph. As the object distance approaches the focal length of the lens, the image distance becomes infinitely large, indicating that the lens is no longer able to form a real image.
In order for the lens to form a real image, the object distance p must be greater than the focal length f. When the object distance is less than the focal length, the lens forms a virtual image.
Describe the shape of the data distribution.
Answer:
A.) negatively skewed
B.) Symmetric
C.) Positively skewed
Step-by-step explanation:
The shape of a distribution can be described in terms of the tail and peak of the distribution as Symmetric, left tailed or right tailed.
In the first graph; distribution is left tailed as we have a longer tail to the left Than to the right side of the distribution and the peak Hence, slightly shifting to the right.
The second graph on the other hand sees the peak being centered, at the centre of the distribution and the tails being even. Hence, we have a Symmetric or normal distribution.
The third is the opposite of the first with the tail being to the right and peak slightly shifting to the left to give a positive skew or right tailed distribution.
PLEASE HELP MEEEEEEE!!!!!!!!!!!!!
The table to show the costs for other amounts of apples at the same rate should be completed as follows;
Weight (pounds) 1 2 3 4 5 6 7
Cost (dollars) 0.8 1.6 2.4 5 4.0 4.8 5.6
An equation to describe the relationship in the table is y = 0.8x.
What is a proportional relationship?In Mathematics, a proportional relationship produces equivalent ratios and it can be modeled or represented by the following mathematical equation:
y = kx
Where:
k is the constant of proportionality.y represent the cost.x represent the weight.Next, we would determine the constant of proportionality (k) for the data points contained in the table as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = 4/5
Constant of proportionality, k = 0.8.
Therefore, an equation for this proportional relationship can be correctly written as follows:
y = kx
y = 0.8x
When x = 1, y is given by;
y = 0.8(1)
y = 0.8.
When x = 2, y is given by;
y = 0.8(2)
y = 1.6.
When x = 3, y is given by;
y = 0.8(3)
y = 2.4.
When x = 5, y is given by;
y = 0.8(5)
y = 4.0.
When x = 6, y is given by;
y = 0.8(6)
y = 4.8.
When x = 7, y is given by;
y = 0.8(1)
y = 5.6.
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how many real solutions does x²+8x+20=0
Answer:
1 solution
Step-by-step explanation:
x = 10 , − 2
What is the answers to Part A, B, and C ?
Part a: The data points appear to follow an exponential pattern. This is because the balance is increasing at a rate that is proportional to the current balance.
How to explain the informationPart b: The equation of the best fit is y = 50(1.06)^x. This can be found using a variety of methods, including graphing the data points and fitting a curve to them, or using a statistical software package.
Part c: When x = 32, y = 50(1.06)^32 = $2,499.82.
Years since 1990, x 0 5 10 15 20 25 30
Balance, y $50 $62.31 $77.65 $96.76 $120.59 $150.27 $187.27 $2,499.82
The equation of the fitted curve is y = 50(1.06)^x.
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Tessellations
Find the coordinates of quadrilateral PQRS with vertices P(1, 4), Q(-1,4), R(-2, -4) and
S(2, -4) under the translation (x,y) ⇒ (x-5,y+3)
a. P' (-4, 7), Q' (-6, 7), R' (-7, -1) and S' (-3, -1)
b. P' (6, 7), Q' (4, 7), R' (3, -1) and S' (7, -1)
c. P' (-4, 1), Q' (-6, 1), R' (-7, -7) and S' (-3, -7)
d. P' (6, 1), Q' (4, 1), R' (3, -7) and S' (7, -7)
Please select the best answer from the choices provided
Answer:
A. P' (-4, 7), Q' (-6,7), R' (-7, -1) and S' (-3, -1)
Step-by-step explanation:
I calculated it logically
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Select the correct point on the coordinate plane.
Which point can be used to form a right triangle to derive the distance formula to find the length of the line segment?
(-3, 3) and (4, -1) are the points that can be used to form a right triangle to derive the distance formula to find the length of the line segment
Determining the distance between two points.Given the line on the xy-plane, we are to determine the points on the line that can be used to determine the distance between the two points.
The required points on the line will be the two endpoints on the line. The end points are (-3, 3) and (4, -1). The distance between this points is expressed as:
D = √(-1-3)²+(4+3)²
D = √14 + 49
D = √63
Hence the points that can be used to form a right triangle to derive the distance formula are (-3, 3) and (4, -1)
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Answer: It’s -1,-3
Step-by-step explanation:
got 100 on the test
Practice Translate Expressions
Write an algebraic expression that models the given word phrase.
1) 15 divided by d ________________________
2) seven fewer than a number n ________________________
3) two times the sum of a and b ________________________
4) nine less than 5 multiplied by the number p ________________________
5) the product of 15 and x ________________________
6) quotient of 4 more than the number z and the number y decreased by _________
Solve the equation using the steps:
2(x + 8)= 2x + 8
After solving the Algebraic Expression 2(x + 8)= 2x + 8, we will get x∈∅. Variable x is dissolved in itself, making it impossible to find its value.
How to solve the given equation: 2(x + 8)= 2x + 8?Before moving to solve the equation , let's learn how to solve any algebraic expression:
Step 1: Determine whether the Distributive is necessary.
Property. If so, spread the word!
Step #2: Group similar terms together on either side of the equals symbol.
(meaning: combine all of the similar factors AND
Add up each and every integer (number).
Step #3: Align the variables so that they are all to one side of the equals symbol.
utilizing the inverse process. REMEMBER: No matter what you do
You MUST do to the other side of the equals sign what you did to the one side.
equals (symbol).
Fourth Step: When all of your variables are situated on the same side of the
You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:
fourth Step: When all of your variables are situated on the same side of the
You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:
You MUST do anything you do to one side of the equals sign.
the reverse of the equals symbol).
Step #5: Using the variable's ALONE state, isolate it
the opposite process. DO NOT FORGET: No matter what you do to one
You MUST change the other side of the equals symbol to the equals symbol
Given:
2(x + 8)= 2x + 8
2 × x + 2 × 8= 2x + 8
2x+16= 2x+ 8
16= 8
So, x∈∅.
In this equation , the value of x could not be find because variable x is dissolved in itself.
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A pair of $72 sneakers is marked with a sign $20 OFF or 20% OFF: The $20 of final price is
Answer:
52
Step-by-step explanation:
i did the test.
Please help me answer this!!!
Answer:
x=1.2 and y= -2.8
Step-by-step explanation:
x-4=6x-10
-4=5x-10
6=5x
x=6/5 or 1.2
y=x-4
y=1.2-4
y= -2.8
Archie bought 100 shares of stock in an ice cream company 2 years ago. He paid $60.65 per share. He just sold all of his shares for $67.68 per share. How much did he gain?
Answer:
Step-by-step explanation:
First, we need to find the difference between the price that he sold the shares for and the price that he bought them at: (67.68-60.65) = 7.03
That means that there was a gain of $7.03 per share for Archie.
That being said, since Archie bought 100 shares, we can multiply that number by 100 to find the total gain from selling the shares:
(7.03x100)= 703
The answer then is:
Archie gained $703 from selling all of his shares.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. You have a credit card with a balance of $754.43 at a 13.6% APR. You have $300.00 available each month to save or pay down your debts. a. How many months will it take to pay off the credit card if you only put half of the available money toward the credit card each month and make the payments at the beginning of the month? b. How many months will it take to pay off the credit card if you put all of the available money toward the credit card each month and make the payments at the beginning of the month? Be sure to include in your response: • the answer to the original question • the mathematical steps for solving the problem demonstrating mathematical reasoning
a. It will take 7 months to pay off the credit card.
b. it will take 4 months to pay off the credit card.
Since, APR stands for Annual Percentage Rate. It is the interest rate charged on a loan or credit card, expressed as a yearly percentage rate. The APR takes into account not only the interest rate, but also any fees or charges associated with the loan or credit card.
a. If you put half of the available money each month toward the credit card, then you are paying $150.00 per month towards the credit card balance.
We can use the formula for the present value of an annuity to find how many months it will take to pay off the credit card:
PV = PMT × ((1 - (1 + r)⁻ⁿ) / r)
where:
PV is the present value of the debt
PMT is the payment amount per period
r is the monthly interest rate
n is the number of periods
Substituting the values, we get:
754.43 = 150 × ((1 - (1 + 0.011333)⁻ⁿ) / 0.011333)
Simplifying and solving for n, we get:
n = log(1 + (PV ×r / PMT)) / log(1 + r)
n = log(1 + (754.43×0.011333 / 150)) / log(1 + 0.011333)
n = 6.18
Therefore, it will take 7 months to pay off the credit card if you put half of the available money each month toward the credit card.
b. If you put all of the available money each month toward the credit card, then you are paying $300.00 per month towards the credit card balance.
754.43 = 300 ×((1 - (1 + 0.011333)⁻ⁿ) / 0.011333)
Simplifying and solving for n, we get:
n = log(1 + (PV × r / PMT)) / log(1 + r)
n = log(1 + (754.43× 0.011333 / 300)) / log(1 + 0.011333)
n = 3.43
Therefore, it will take 4 months to pay off the credit card if you put all of the available money each month toward the credit card.
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Solve for the missing side length. Round to the nearest tenth.
5.8
5.2
5.4
5.6
Answer:
C) 5.4-------------------------
Given two legs of a right triangle and we need to find the hypotenuse.
Use Pythagorean theorem:
\(PQ = \sqrt{QR^2+PR^2}\)\(PQ = \sqrt{2^2+5^2} =\sqrt{29} =5.385 = 5.4\ (rounded)\)The matching choice is C.
A pilot can travel 450 miles with the wind in the same amount of time as 396 miles against the wind. Find the speed of the wind if the pilot's speed in still air is 329 miles her hour.
The answer to this question please
Answer:
the answer is 15
Step-by-step explanation:
sorry if wrong
if right can i get a brainliest
give guy under me a branliest
Answer:
X = 15
Step-by-step explanation:
the angle opposite to 4x is equal to 60. since they're both supposed to be equal, I divided 60 by 4, which is how I got 15