Answer:
15 q4. + 7p2q2 is the correct answer
Express the following terms in the exponential form: (2a) 4
Answer:
16a^4
Step-by-step explanation:
Answer:
16a^4
Step-by-step explanation:
The expression (2a)^4 can be written in exponential form as 2^4 * a^4. Using the laws of exponents, we can simplify this to:
2^4 = 2 * 2 * 2 * 2 = 16
a^4 = a * a * a * a
So, (2a)^4 = 16a^4
Find three additional points on the parabola that has vertex (1, -2) and passes through (0,– 5). Select all that apply. A. (2,-3) B. (-1,-14) C. (3,2) D. (2,-5) E. (3,-14) F. (-2,7)
Answer: The vertex form of a parabola is:
y = a(x - h)^2 + k
Where (h, k) is the vertex of the parabola.
In this case, we are given that the vertex is (1, -2), so the equation of the parabola will be:
y = a(x - 1)^2 - 2
We know that the parabola passes through (0, -5), and it is given by the equation.
-5 = a(0 - 1)^2 - 2
so,
a = 1/3
The final equation of the parabola is :
y = 1/3(x-1)^2 - 2
so, the points that are on the parabola are:
A. (2,-3)
B. (-1,-14) is not true,
y = 1/3 (-1 -1)^2 - 2 = -1/3 + 2 = 1/3 ≠ -14
C. (3,2)
D. (2,-5)
E. (3,-14) is not true
y = 1/3 (3-1)^2 - 2 = -4/3 ≠ -14
F. (-2,7) is not true
y = 1/3 (-2-1)^2 - 2 = -7/3 + 2 = -1/3 ≠ 7
Therefore A, C and D are the correct answers.
Step-by-step explanation:
Emily is using glass to make a display case in the shape of a triangular prism the net of the display shown exactly how much glass is needed to make a display case
The net of the display consists of one rectangle and two right triangles. 168 ft² is needed to make a display case. Hence option D is the correct option.
What is surface area?
The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
The surface area of the triangular prism is the display area of the glass.
The surface area of a triangular prism consists of one rectangle and two right triangles.
The length of the rectangle is (10ft + 6 ft + 8ft) = 24ft.
The width of the rectangle is 5 ft.
The area of a rectangle is the product of length and width.
The area of the rectangle is 24ft × 5ft = 120 square ft
The length of the base of the triangle is 8 ft and the height is 6ft
The area of the triangle is 1/2 × base × height = 1/2 × 8 × 6 = 24 square ft
The display area is 120 square ft + 2 ×24 square ft = 120 + 48 = 168 ft².
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please help asap. i need help.
The slope of the linear equation that passes through the two given points is 1/7.
How to find the slope of the line?A general linear equation can be written in the slope-intercept form as:
y = a*x + b
Where the coefficients are:
a: the slope.
b: the y-intercept.
If a line passes through two known points (x₁, y₁) and (x₂, y₂), then the slope is equal to:
a = (y₂ - y₁)/(x₂ - x₁)
In this case, we know that the line passes through (-10, -9) and (-3, -8), then the slope of this linear equation will be:
a = (-8 + 9)/(-3 + 10) = 1/7
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i need help ive been stuck on it for ages
Answer:
Don't join the points with lines
Make the numbers on the vertical axis larger
Label the axes
Step-by-step explanation:
Make all the points different colours → I don't think that would be useful. Unless the teacher asked you to in class, it's probably not a good answer.
Put the title on the bottom → Same. Unless the teacher asked you to in class, it's not really useful and probably not a good answer.
Don't join the points with lines → Teachers ask indeed not to do this, so I think it's a good answer. Most of the time they prefer students to use curves (hope it's the good translation).
Make the numbers on the vertical axis larger → Since both axes represent notes, it would be easier to compare with the same scale. If that's what the teacher meant, then I think it's correct.
Label the axes → This one is interesting, because right now we don't what they represent at all.
Hope it helps, good luck for your exercices :)
The ratio of the number of model cars that jim owns to the number of model cars Terrence owns is 8:6. Terrence owns 36 model cars
Part A
How many model cars does Jim own?
___
Part B
How will the ratio change if Jim and Terrence each sell ten of their model cars?
O The new ratio would stay the same
O The new ratio would be 4:3
O The new ratio would be 23:29
O The new ratio would be 19:13
When Jim's model car ownership is compared to Terrence's model car ownership, the ratio is 8:6, Jim possesses 48 model vehicles.
what is equation ?An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, according to the definition given by the term in its most basic form. When two terms are placed on each side of an equal sign, a simple equation is used to show their relationship. The four mathematical operations of addition, subtraction, multiplication, and division may be used singly or in combination in simple equations.
given
You are aware that Jim and Terrence both own four model automobiles in comparison to three owned by Jim.
Let's assume that Jim owns Jim has the following number of model cars, then you can answer the task as follows:
4/3 = x/36
x = (4* 36)/ 3
x = 48
Therefore, Jims owns 48 model cars.
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How do you start elimination with 3 variables?
The goal of elimination is to remove one of the variables by combining the equations together.
Let's say we have an equation with 3 variables:
a + b + c = 0
The goal of elimination is to remove one of the variables by combining the equations together.
Multiply the first equation by a number, n, such that nb + nc = 0
For example:
Let n = -2
-2b + -2c = 0
Add the two equations:
a + b + c = 0
-2b + -2c = 0
a - b = 0
Solve for b:
a - b = 0
b = a
Therefore, the final equation is:
a + a + c = 0
2a + c = 0
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A family drives 4 1/4 miles in 1/10 of an
hour. How many miles will they drive
in 3/4 hour?
Therefore because of this, the answer to the speed problem is that a family can travel 31.875 miles in 3/4 of an hour.
Describe speed.Speed is a tempo that is determined by the distance an entity travels in a predetermined period of time. Numerous methods exist for measuring speed, including miles per hour, laps per minute, and meters per second. The measurements of speed, distance, and time are related. The relationship can be expressed in three different ways:
D = RT, R = DT, & T = DR.
Here,
We are given that
Distance drives by a family=4[tex]\frac{1}{4}[/tex] miles
Time = 1/10
We have to find the rate of speed in miles per hour.
The speed formula will be used to get the velocity in miles per hour.
Distance traveled in a given amount of time equals speed.
=> Speed = 17/4 * 10
=> Speed = 42.5
So, using the calculation, we arrive at 42.5 miles per hour.
The miles traveled in 3/4 miles are therefore:
Distance is calculated as speed times time,
therefore 42.5 * 3/4 would equal 31.875 miles in distance.
Because of this, the answer to the speed problem is that a family can travel 31.875 miles in 3/4 of an hour.
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The sales tax in one town is 8%.So, the total cost of an item can be written as c=0.08cents .what is the total cost of an that sells for $12 ?its due tmrr asap
The total cost of an item that sells for $12 is $12.96
How to determine the total cost of an item that sells for $12?From the question, we have the following parameters that can be used in our computation:
Selling price = $12
Sales tax = 8%
The total cost of an item that sells for $12 is then calculated as
Total cost = Selling price * (1 + Sales tax)
Substitute the known values in the above equation, so, we have the following representation
Total cost = 12 * (1 + 8%)
Evaluate
Total cost = 12.96
Hence, the total cost is $12.96
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At the movie theatre, child admission is $5.70 and adult admission is $9.60. On Monday, three times as many adult tickets as child tickets were sold, for a total sales of $1345.50. How many child tickets were sold that day
The total number of child ticket and adult ticket that were sold was: 270 and 810 respectively.
How many child tickets were sold that day?On Monday, three times as many adult tickets as child tickets were sold at the movie theatre.The adult admission was $9.60, and the child admission was $5.70.The total sales for the day were $1345.50.In order to find out how many child tickets were sold that day, the total sales for the adult tickets must first be calculated. Since three times as many adult tickets were sold, the number of adult tickets can be calculated by dividing the total sales by three. This results in $448.50.To calculate the total sales for the child tickets, the total sales must be subtracted from the adult ticket sales.This results in $897.00. Since the price of the child tickets was $5.70, the total number of child tickets sold can be calculated by dividing the total sales by this price.This results in 157 child tickets sold.To learn more about the application of linear equations refer to:
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If total employee benefits are calculated as a percentage of their gross pay, which of the following employees receives
the largest percentage of their gross pay in employee benefits?
a. Employee A: gross pay $32,600, total job benefits $33,600
b. Employee B: gross pay $32,900, total job benefits $34,000
c. Employee C: gross pay $33,400, total job benefits $33,900
d. Employee D: gross pay $33,700, total job benefits $34,700
The employee who receives the largest percentage of their gross pay in employee benefits is Employee D.
What is percentage?
Percentage is a way of expressing a number as a fraction of 100. It is often denoted using the percent sign, "%", or the abbreviation "pct". For instance, 45% (read as "forty-five percent") is equal to 45/100, or 0.45. Percentage can be used to express part-to-whole relationships, such as "25% of the students in the class". It can also be used to compare two or more values, such as "the temperature rose by 3% over the course of the day". In some cases, percentage can be used to calculate a quantity from a given value, such as finding the percentage increase from one number to another.
This is because they have the highest total job benefits ($34,700) when compared to their gross pay ($33,700). This results in a percentage of 103.3%, which is the highest of the four employee options.
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(b) Felipe is deciding how many people to take to the movies. The table below
shows the cost for different sized groups of people.
Check
Number in group
Cost (in dollars)
2
10
3 9
15 45
The cost for each person is not always the same.
OThe cost for each person appears to be the same.
Predicted number in group for a cost of $50:
Answer:
Step-by-step explanation:
from the form we know, 10/2=15/3=45/9=5.so we need select the second choice, the number of group 50 dollar is 50/5=10
the anwser is second choice, fill 10 in blank.
if u like this, pls 5 stars. tku!
Find the volume of each cylinder. Round your answers to the nearest tenth if necessary. Use 3.14 for T.
2.5 cm
2 cm
cubic centimeters.
What is the equation of the Y axis?
Answer:
x=0
Step-by-step explanation:
The general form of the equation of y-axis is x = 0. hence, the equation of line parallel to the y-axis is given by the equation: x = k.
Can a polynomial have no real roots?
Odd degree polynomials can have no real roots.
A polynomial of even degree can have any number from 0 to n distinct real roots. A polynomial of odd degree can have any number from 1 to n distinct real roots.
polynomials
A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division.
Real root
A real root is a solution to an equation which is also a real number.
Real number
Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.
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How did you compute sums ofdollar amounts that were not whole numbers? For example, how did you compute the sum of$5. 89 and$1. 45? Use this example to explain your strategy.
How did you compute products ofdollar amounts that were not whole numbers? For example, how did you compute the cost of4 pounds of beef at $5. 89 per pound? Use this example to explain your strategy
To compute the sum of dollar amounts that are not whole numbers and to compute products of dollar amounts that are not whole numbers you can use the standard arithmetic operation and place decimal point correctly.
To compute the sum of dollar amounts that are not whole numbers, such as $5.89 and $1.45, you can use the standard arithmetic operations of addition, just like you would with whole numbers.
$5.89 + $1.45 = $7.34
When adding or subtracting decimal numbers, you align the decimal points and perform the operation column by column, just like you would with whole numbers.
To compute products of dollar amounts that are not whole numbers, such as 4 pounds of beef at $5.89 per pound, you can use the standard arithmetic operation of multiplication.
4 × $5.89 = $23.56
When multiplying decimal numbers, you multiply as you would with whole numbers and place the decimal point in the product to the right of the last digit in the product that corresponds to the number of decimal places in the original factors.
In both examples, it is important to pay attention to the placement of the decimal point and to use proper arithmetic operations. In general, it is important to consider the decimal places when working with decimal numbers and ensure that the final result is rounded to the appropriate number of decimal places, if necessary.
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giving brainliest to the best answer
If two even integers are multiplied, then the product is also even. Hypothesis: Two even integers are multiplied. Hypothesis starts after the word "if". Conclusion starts after the word "then".
How do you identify a hypothesis and conclusion?The sentence that comes just after the word "if" in a conditional statement is known as the hypothesis. The sentence that comes after the word then in a conditional statement is the conclusion.
If you earn high grades, the portion that follows the "if" is referred to as a hypothesis, and if you get good grades, the part that follows the "then" is referred to as a conclusion.
An if-then statement, also known as a conditional statement, is a set of hypotheses followed by a conclusion.
p → q
Read this: if p, then q.
If the hypothesis is correct but the conclusion is untrue, a conditional statement is false. If the statement in the example above read, "If you achieve good marks then you will not get into a good college," it would be untrue.
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If two even integers are multiplied, then the product is also even. Hypothesis: Two even integers are multiplied. Hypothesis starts after the word "if". Conclusion starts after the word "then".
How do you identify a hypothesis and conclusion?The sentence that comes just after the word "if" in a conditional statement is known as the hypothesis. The sentence that comes after the word then in a conditional statement is the conclusion.
If you earn high grades, the portion that follows the "if" is referred to as a hypothesis, and if you get good grades, the part that follows the "then" is referred to as a conclusion.
An if-then statement, also known as a conditional statement, is a set of hypotheses followed by a conclusion.
p → q
Read this: if p, then q.
If the hypothesis is correct but the conclusion is untrue, a conditional statement is false. If the statement in the example above read, "If you achieve good marks then you will not get into a good college," it would be untrue.
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What is the rate of change for y= 0.75-2?
Answer:
The slope is 0.75.
The equation is y=0.75x-2
Step-by-step explanation:
How many solutions do the pair of linear equations 3x 2y 5 and 2x 3y 7 have?
The pair of linear equations 3x + 2y = 5 and 2x + 3y = 7 has no solution.
To solve these equations, we will use the method of elimination.
We start by multiplying the first equation by 2:
6x + 4y = 10
Now we add both equations together:
6x + 4y + 2x + 3y = 10 + 7
Combining like terms, we have:
8x + 7y = 17
We can now solve for x by dividing both sides by 8:
x = 17/8
Now we can substitute this value of x into either of the original equations to solve for y:
3(17/8) + 2y = 5
51/8 + 2y = 5
2y = 5 - 51/8
2y = -41/8
y = -41/16
However, this value for y is not a real number, so there is no solution for the pair of linear equations.
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y2−10y+24+6x−9x2
[tex]factorization[/tex]
Answer:
y(2-10)2(12+3x)...
Step-by-step explanation:
first make groups of the numbers
y2 with 10 y they both have y in common
so you can write it as y(2-10)
after 24 with 6x they both have 2in common (2×12=24)
so you can write it as 2(12+3x)
and you can do the rest with the same technique
graphing piece wise functions
Answer:
thats by step overr.ic. yttt. .
Dollhouse furnishing comes in different sizes depending on the size of the dollhouse. Write a ratio of the size of the dollhouse item to the size of the larger item.
dollhouse sofa: 1 1/2 in. Long
real sofa: 6 ft long
The ratio of the size of the dollhouse item to the doll house is 14 : 9.
What are ratios?
When b does not equal 0, an ordered pair of numbers a and b, represented as a / b, is said to be a ratio.
A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as 1: 3 (for every one boy, there are three girls), which means that 14 of the population is made up of boys and 34 of the population is made up of girls.
The ratio is a mathematical expression that can be used to represent one item as a percentage of another.
First convert feet to inches
1 feet = 12 inches
12 x 6 = 72 inches
dollhouse item : doll house
112 : 72
14 : 9
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What is the name of σ?
In mathematics, the symbol " σ" is "σ" (sigma) which is commonly used to represent the sum of a set of values.
It is used to indicate that a series of values are to be added together. For example, the notation "Σx" is read as "the sum of x" and it means to add all values of x together. It is often used in mathematical analysis, statistics, and physics.
For instance, in statistics, the symbol "σ" is used to represent population standard deviation, which is a measure of the dispersion of a set of data points from the mean.
In probability theory, the symbol "σ" is also used to represent the standard deviation of a random variable.
In general, the specific meaning of the symbol "σ" depends on the context in which it is used.
It is also known as Summation notation.
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HELP PLEASE QUICK!!
Use the graph of the equation to answer the question.
Part A: What is the domain of the equation?
A. All real numbers
B. x≤2
C. x≥-4
D. x≥2
Part B: What is the range of the equation?
A. y≥-4
B. All real numbers
C. y≤-4
D.y≥2
The domain of the equation is (A) All real numbers and the range of the equation is (A) y≥-4.
What is the domain and range of the equation?The range of values that can be plugged into a function is known as its domain. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
In order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x). Simply put, x=g(y) will calculate the function's range after we identify g's domain (y).
The domain of the equation is (A) All real numbers because the value of x is all real numbers.
and the range of the equation is (A) y≥-4, because the value of variable y is greater than and equal to -4 for all values of x.
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Which of the following are possible examples of sampling distributions? (Select all that apply.) O all mean trout lengths in a sampled lake O mean trout lengths based on samples of size 5 O heights of college students at a sampled university O average SAT score of a sample of high school students
O average male height based on samples of size 30 X
The potential instances of sample distribution are options C and E.
Option E. Average male height based on samples of size 30.
Option C. Mean trout lengths based on samples of size 5.
The sampling distribution of the mean is the distribution of the variable x (all feasible sample means of size n) for a variable x and a given sample size n.
The mean is the most typical kind of sample distribution. Plotting the data points and computing the means of each sample group drawn from the population are its main goals.
This idea, which is a form of the probability distribution, is frequently used to gather precise data from a sizable population that is divided into a number of randomly chosen samples. This idea is further divided into three categories: T-Sampling, proportional sampling, and the sampling distribution of the mean.
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The correct questions should be like this:
Which of the following are possible examples of sampling distributions? (Select all that apply.) average SAT score of a sample of high school students
all mean trout lengths in a sampled lake
mean trout lengths based on samples of size 5
heights of college students at a sampled university
average male height based on samples of size 30
What is the mole of o2?
The number of mole O₂ is 2. Since the subscript of oxygen denotes the number of moles.
What is a diatomic element?
Diatomic molecules—so named because they only contain two atoms of the same or different chemical elements—are molecules that are made up of two atoms. A diatomic molecule is considered to be homonuclear if it contains two atoms of the same element, such as oxygen (O₂) or hydrogen (H₂).
One mole consists of an Avogadro number of atoms. If you are aware of the mole quantity, you can convert a mole into grams.
The mole (symbol: mol) is the unit of material quantity used by the International System of Units. The amount of a substance determines how many elementary entities of that substance are present in an object or sample. The mole must contain precisely 6.02214076×10²³ elementary entities.
The subscript part of a chemical compound represents the number of moe of the chemical compound. The subscipt of O₂ is 2. Thus the number of mole is 2.
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Angie is working on solving the exponential equation 23x = 6; however, she is not quite sure where to start. Using complete sentences, describe to Angie how to solve this equation.
Hint: Use the change of base formula: log base b of y equals log y over log b.
Step-by-step explanation:
continuation of the previous answer:
now, for the final step angie should use the change of base formula in order to make the logarithmic expression simpler to analyze.
[tex]x = \frac{ log(6) }{ log(23) } [/tex]
after applying this formula Angie has successfully solved her exponential equation.
Answer:
Angie should use the change of base formula to make this equation faster. Which would be x= log(6)/log(23). Then, after using this formula and just plugging it into your calculator, Angie should have successfully answered her question.
Step-by-step explanation:
I took the exam
It costs c dollars each to manufacture and distribute backpacks. If the backpacks sell at x dollars each, the number sold is given by n = a/(x-c) + b(95-x), where a and b are positive constants. What selling price will bring a maximum profit? Express the total profit P in terms of X. P(x) The selling price that will maximize profit is $
The total profit P in terms of x can be expressed as
P(x) = (a - c) (a/(x-c) + b(95-x))
The selling price that will maximize profit is the positive constant, a in dollars.
To find the selling price that will bring a maximum profit, we need to find the derivative of the profit function P(x) and set it equal to 0.
The profit function P(x) is given by P(x) = nx - nc,
where n is the number of backpacks sold and c is the cost to manufacture and distribute each backpack.
Substituting the given expression for n into the profit function gives:
P(x) = (a/(x-c) + b(95-x))x - c(a/(x-c) + b(95-x))
P(x) = (a - c) (a/(x-c) + b(95-x))
To find the selling price that will maximize profit, we need to find the critical points of P(x) by taking the derivative of P(x) with respect to x and setting it equal to 0:
P'(x) = (a - c) (-a/(x - c)² - b) = 0
Thus P'(x) = 0 at c = a or (x - c)² = -a/ b
a and b are positive constants, so -a/ b is negative but (x - c)² is never negative, so it is not a possible solution.
So only solution is c = a, that is for maximum profit selling price, c should be equal to the positive constant, a.
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Find four consecutive odd integers such taht 4 times the sum of the first and third is 4 larger than 4 times the fourth
The four consecutive odd integers = 15, 17, 19, 21
What are integers ?Positive, negative, and zero are all examples of integers.
The Latin word "integer" signifies "whole" or "intact."
As a result, fractions and decimals are not included in integers.
All whole numbers and negative numbers are considered integers.
This means that if we combine negative numbers with whole numbers, a collection of integers results.
An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion.
Here are a few instances of integers: -5, 0, 1, 5, 8, 97, and 3,043. a collection of numbers, denoted by the symbol Z.
According to our question-
x + x + 6 = -(x + 4) + 55
x + x+6 = (-x - 4) + 55
2x + 6 = -x + 51
Collect like terms
2x + x = 51 - 6
3x = 45
x = 15
Second integer = x + 2 = 15 + 2 = 17
Third integer = x + 4 = 15 + 4 = 19
Fourth integer = x + 6 = 15 + 6 = 21
The four consecutive odd integers = 15, 17, 19, 21
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A cat can run 30 miles per hour. At this rate, how many minutes would it take a car to run 1.5 miles?
Answer:
3 minutes
Step-by-step explanation:
30÷1.5=20
1h=60mins
60÷20=3minutes