Answer:
hope this helped
Step-by-step explanation:
Multiply the height of Rectangle by the scale factor. This will give you the height of Rectangle
Multiply the width of Rectangle by the scale factor. This will give you the width of Rectangle
Multiply the height and width of Rectangle to find the area
How to solve one of these - im very confused :(
The graph represents the inequality:
[tex]x<-3[/tex]The reason we used strictly less than (<) is that the circle is not shaded. Therefore, the correct inequality has to be either the first or last.
We will simplify the inequalities to see which one is equivalent.
First Inequality:
[tex]5(4x+3)<10(2x+1)+7[/tex]Expanding the brackets using the distributive property, we have:
[tex]\begin{gathered} 20x+15<20x+10+7_{} \\ 20x+15<20x+17 \end{gathered}[/tex]Subtracting 20x from both sides, we have:
[tex]\begin{gathered} 20x+15-20x<20x+17<20x \\ 15<17 \end{gathered}[/tex]This is not the inequality.
Last Inequality:
[tex]3x+10>5x+16[/tex]Subtract 5x from both sides:
[tex]\begin{gathered} 3x+10-5x>5x+16-5x \\ -2x+10>16 \end{gathered}[/tex]Subtract 10 from both sides:
[tex]\begin{gathered} -2x+10-10>16-10 \\ -2x>6 \end{gathered}[/tex]Divide both sides by -2. Dividing by a negative number will reverse the sign:
[tex]\begin{gathered} \frac{-2x}{-2}>\frac{6}{-2} \\ x<-3 \end{gathered}[/tex]Hence, this is the inequality.
ANSWER: The correct inequality is
[tex]3x+10>5x+16[/tex]
y varies inversely as x. y = 18 when x = 5. Find y when x = 3.
Answer:
If the variable
y
varies inversely as the variable
x
, then we can write this relationship as:
y
∝
1
x
Removing the proportionality sign and adding a proportionality constant, we have:
y
=
k
x
If the value of y is 18 when the value of x is 5, then:
18
=
k
5
k
=
18
×
5
=
90
Thus, the equation showing the relationship between the two variables is:
y
=
90
x
Using the above equation, the value of y when x = 3 is equal to:
y
=
90
3
=
30
8) A local food stand is selling different types of fruit. After taking inventory, it is determined that they have
24% more apples available than pears. If the food stand has 125 pears available, how many apples do
they have available then?
Answer:
155
Step-by-step explanation:
125 (1+24%) = 155
Solve 2x-y=8 for slope and y intercept
Given: The equation of a line below
[tex]2x-y=8[/tex]To Determine: The slope and the y intercept
Solution
The general form of slope-intercept form of a line is given as
[tex]\begin{gathered} y=mx+c \\ Where \\ m=slope \\ c=y-intercept \end{gathered}[/tex]Let us re-write the given equation in slope-intercept form
[tex]\begin{gathered} 2x-y=8 \\ 2x=8+y \\ 8+y=2x \\ y=2x-8 \end{gathered}[/tex]Let us compare the derived given equation to the general form
[tex]\begin{gathered} y=mx+c \\ y=2x-8 \\ m=2 \\ c=-8 \end{gathered}[/tex]The graph is as shown below
Hence, the slope is 2 and the y intercept is -8
Consider the first 2 terms of the sequence 28, 14,....
Suppose the sequence 28, 14,... is arithmetic
Determine the common difference
The common difference of the arithmetic sequence is found as -10.
What is defined by the term arithmetic sequence?The arithmetic sequence is indeed the sequence in which the common differences between any 2 successive terms remains constant. Let us review what a sequence is.We have two formulas for arithmetic sequences.The formula for determining the nth term in an arithmetic sequence.The formula for calculating the sum of an arithmetic sequence's first n termsFor the given question;
The arithmetic sequence is given as;
28, 14,....
Where 28 is the first term; a₁ = 24.
14 is the second term; a₂ = 14.
Then the common difference 'd' is calculated as;
d = a₂ - a₁
put the values.
d = 14 - 24
d = - 10
Thus, the common difference of the arithmetic sequence is found as -10.
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Ab technologies produces dc motors of which 5% are defective.the motors are packaged into boxes, each box contains 60 motors. a box is selected at random. find the probability that the box contains exactly one defective motor. at least two defective mtors
The probability that the box contains exactly one defective motor.
P(X=1)=0.5225
This is further explained below.
What is Poisson distribution?Generally, This follows a Poisson distribution and will be solved using:
[tex]P(X=x)=\frac{e^{-u} u^x}{x !}[/tex]
Where
u = Expected number of occurrences, and it is calculated as:
u=n p
u=60 * 4%
u=60 * 0.04
u=2.4
In conclusion,
[tex]P(X=x)=\frac{e^{-u} u^x}{x !}[/tex]
Therefore
[tex]P(X=1)=\frac{e^{-2.4} 2.4^2}{2 !}[/tex]
P(X=1)=0.5225
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At the beginning of spring, Allison planted a small sunflower in her backyard. When it was first planted, the sunflower was 15 inches tall. The sunflower then began to grow at a rate of 2 inches per week. How tall would the sunflower be after 9 weeks?
How tall would the sunflower be after w weeks?
Height after 9 weeks?
During plantation sunflower was 15 inches tall , then grow at the rate of 2 inches per week , after 9 weeks sunflower would be 33 inches tall.
As given in the question,
During plantation sunflower was 15 inches tall
Rate of growth per week = 2 inches
Let x be the number of weeks and y be the height of the plant.
Required height :
y = 15 + 2x
Change in the height of sunflower after 9 weeks
y =15 +2x
= 15 + 2(9)
= 15 +18
= 33 inches
Therefore, during plantation sunflower was 15 inches tall , then grow at the rate of 2 inches per week , after 9 weeks sunflower would be 33 inches tall.
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a college student bought 11 books for fall classes. if the cost of his anatomy textbook was three times the mean cost of the other 10 books, then the cost of the anatomy textbook was what fraction of the total amound he paid for the 11 books?
The fraction of the total amound he paid for the 11 books is 3/13.
What is a Fraction?The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line. It displays the total number of identical objects in a collection or the total number of equal sections the whole is divided into.According to our question-
Let C be the overall price of the remaining 10 books: Average cost of them = C/10(C/10) = (3/10)CT cost = (3/10)C + C (3/10)c + (10/10)C 13/10 C3/10*13/103/13Hence , The fraction of the total amound he paid for the 11 books is 3/13.
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Solve for x: -1 < x + 3 < 5
Answer:
Step-by-step explanation:
−1<x+3<5
−1+−3<x+3+ −3<5+−3 (Add -3 to all parts)
Therefore your answer is −4<x<2
A rental car company charges $40 per day to rent a car and $0.08 for every mile driven. Justin wants to rent a car, knowing that:
He plans to drive 125 miles.
He has at most $170 to spend.
Write and solve an inequality which can be used to determine xx, the number of days Justin can afford to rent while staying within his budget.
The inequality we want to find is:
$40 + $0.08*x ≤ $170
Where x is the number of miles Justin can drive, and the solution is:
x ≤ 1,625
How to write the inequality?We know that there is a fixed cost of $40 plus $0.08 for every mile driven. So if you rent the car and drive for x miles, the total cost is:
C(x) = $40 + $0.08*x
We know that Justin has at most $170 to spend, so we can write the inequality:
$40 + $0.08*x ≤ $170
Solving this for x, we get:
$0.08*x ≤ $170 - $40
$0.08*x ≤ $130
x ≤ $170 /$0.08
x ≤ 1,625
So Justin can drive at most 1625 miles with the money he has.
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Answer:
Inequality: 40x+10≤170
Answer: x 4x≤4
Step-by-step explanation:
trust me
A rectangle's area is 7 units larger than its perimeter. The width of the rectangle is 3 units. What is the length of the rectangle in units?
The length of the rectangle whose area is 7 units larger than its perimeter is 13 units.
What are the area and perimeter of a rectangle?The area of a rectangle is the product of its length and width.
The perimeter of a rectangle is the sum of the lengths of all the sides.
Given, Area of a rectangle is 7 units larger than its perimeter.
Assuming the length of the rectangle to be 'l' and the width to be 'w',
and the width is 3 units.
∴ (l×w) = 2(l + w) + 7.
(l×3) = 2(l + 3) + 7.
3l = 2l + 6 + 7.
l = 13 units.
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PLEASE HELP ASAPP. WILL GIVE BRAINLIEST AND 5 STAR RATINGG
If Emily wants to buy a 22 feet wire and Andy wants to buy a 14 yards wire then their total cost would be $23.04.
What is feet and yard?The length of a foot is 12 inches. A ruler can be used to calculate the length of a foot, which is usually one foot. The length of a piece of paper is about one foot.
3 feet make up one yard. A yardstick, which is equal to 1 yard, is typically used to measure yards. The length of a baseball bat is about one yard.
Using the conversion Rule we will convert feet into inches that is
22 feet = 264 inches
We will also convert yards into inches that is
14 yards = 504 inches
Total wire they need = 264 + 504 inches
= 768 inches
We have given that
100 inches wires costs = $3
1 inch wire costs = 3/100
768 inch wire costs = (3/100) × 768
= $23.04
Thus, If Emily wants to buy a 22 feet wire and Andy wants to buy a 14 yards wire then their total cost would be $23.04.
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Given: Kite ABDC with diagonals AD and BC intersecting at E.
Prove: AD bisects BC
с
E
B
Determine the missing reasons in the proof.
Statement
ABDC is a kite.
CD
AD
ACDA
ABDA
ZCDA ZBDA
ED ED
ACED ABED
CE BE
D
Reason
given
BD and AC AB definition of a kite
AD
reflexive property of congruence
CPCTC
reflexive property of congruence
CPCTC
Reflexive property of congruence CPCTC .
What is the congruence property?When two objects or figures have the same size and shape, the term "congruence" is used to describe it. Congruence has the transitive property, which states that if two sets of lines, angles, or triangles are congruent with a third pair of lines, angles, or triangles, then the first pair of lines, angles, or triangles are also congruent with the third pair of lines, angles, or triangles. As was previously mentioned, the transitive property creates an equivalence relationship between 3 lines, 3 angles, and 3 triangles. According to the definition of the transitive property of congruence in geometry, if any two angles, lines, or forms are, respectively, congruent with a third angle, line, or shape, then the first two angles, lines, or shapes are likewise congruent with the third angle, line, or shape.
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Answer:
The answer to the first box is SSS criterion, im not sure about the second box, i know it isnt ASA criterion, but i hope this helps!
Step-by-step explanation:
write a function to describe the following scenario. Billy wants to order business cards. there is a $20 minimum charge regardless of how many cards are purchased. on top of that, there is a charge of $0.06 per card
The function to describe the following scenario is f(x) = 0.06x + 20 if there is a $20 minimum charge.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
Let x be the number of cards:
The total cost for the card is f(x)
Then f(x) can be framed as:
f(x) = 20 + 0.06x
Or
f(x) = 0.06x + 20
Thus, the function to describe the following scenario is f(x) = 0.06x + 20 if there is a $20 minimum charge.
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The Trihn triplets were working on their homework together. After a while, Toby, Tyler, and Tim got hungry and decided to share a bag of popcorn.Each boy ate 1 3/4 cups of popcorn. How many cups of popcorn did the boys eat in all?
The cups of popcorn that the boys eat in all is 5 1/4 cups.
How to illustrate the information?From the information, Toby, Tyler, and Tim got hungry and decided to share a bag of popcorn and each boy ate 1 3/4 cups of popcorn.
It should be noted that the total popcorn and hat was eaten will be:
= Fraction eaten by each person × Number of people
= 1 3/4 × 3
= 7/4 × 3
= 21/4
= 5 1/4
This illustrates the concept of multiplication of fractions.
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PLEASE HELP!!!
Identify the domain and range of the function in interval notation. Find the zeros of the function. Then determine for which values of x the function is positive and for which it is negative
Answer:
Domain: (-5, ∞)
Range: [-4, 1]
Step-by-step explanation:
Domain is the set of all permissible values of x for the function. The smallest value of x is at x = -5. However note that there is an unfilled circle at x = -5 where y = -1. This means the point(-5, -1) is excluded in the function
The function flattens out at x = 3 and the arrow on the end of the function plot indicates that the x-value of the function goes up to ∞
The domain in interval form is (-5, ∞).
Be careful with the brackets. The regular parentheses ( and ) indicate that the extremes of the interval -5 and ∞ are not included in the interval. ∞ is never included. Such an interval is called an open interval.
The range is the set of y-values for the domain
Looking at the graph we can see that the lowest y value is -4 at x = -2 and it is a valid value for the function so included in the interval
The highest value of y is 1 and it becomes 1 at x =3 but since the plot after x = 2 is horizontal, that means the y value will be 1 for any value x >= 3
Therefore the range of the function is
[-4, 1]
Here note that we are using square brackets to indicate that -4 and 1 are included in the interval. Such an interval is called a closed interval.
1 1/2 divided by 3 equals what?
Answer:
4 1/2
Step-by-step explanation: First: Pls just trust <333 and Goodluck!! <3
WILL GIVE A FOLLOW AND BRAINLIEST
Answer: Neither Im prrtty sure but someone double check me
What is 5,028x1/5 (please answer fast)
Answer:
5
028x ·[tex]\frac{1}{5}[/tex]
I need HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Considering the angle relations when two parallel lines are cut by a transversal, the measures of the angles are given as follows:
18. <4 = 56º.
19. <3 = 132º.
20. <2 = 55º.
21. <8 = 120º.
22. <6 = 129.5º.
23. <2 = 61.3º.
Parallel lines cut by transversalWhen two parallel lines are cut by a transversal, there are multiple relations among the angles, which are going to be used to solve this question.
In item 18, the angles 1 and 4 are consecutive interior angles, hence they are supplementary angles, meaning that the measure of angle 4 is found as follows:
<4 + <1 = 180º
<4 + 124º = 180º
<4 = 56º.
In item 19, angles 2 and 3 are also consecutive interior angles, hence:
<2 + <3 = 180º
48º + <3 = 180º
<3 = 132º.
For item 20, angles 2 and 4 are alternate interior angles, hence they are congruent and their measures are given by:
<2 = <4 = <55º.
For item 21, angles 6 and 8 are alternate exterior angles, also being congruent, hence their measures are given as follows:
<6 = <8 = 120º.
For item 22, angles 7 and 6 are same side exterior angles, meaning that they are supplementary, hence:
<6 + <7 = 180º
<6 + 50.5º = 180º
<6 = 129.5º.
For item 23, the relation is the same as item 19, hence:
<3 + <2 = 180º
<2 = 180 - 118.7
<2 = 61.3º.
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Determine whether the equation $y=x\cdot x\cdot x$ represents a linear or nonlinear function.
The equation [tex]y =\frac{x}{c} *\frac{x}{c} *x[/tex] represents a non- linear function.
How is the function of the equation determined?
[tex]y =\frac{x}{c} *\frac{x}{c} *x\\\\y = \frac{x^{3}}{c^{2} }[/tex]
This equation does not make a straight line in a graph. So, the equation represents a non-linear function.(Refer figure for graph)
What is a non-linear function?
On a graph, information may only be represented in one of two ways, using linear or non-linear functions. A non-linear function does not have a straight line shape. There is some curvature in a nonlinear equation. When plotted on a graph, a linear function produces a straight line. The simplest way to identify if a function is linear or non-linear is probably by graphing it, but we can also discover if a function is linear by looking at its input/output table or equation.To learn more about non-linear functions, refer:
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help me pls i need help pls
The number of batches of cookies that can be made with 4 pounds of flour is 6 batches.
How many batches of cookies can be made?In order to determine the number of batches of cookies that can be made, divide the amount of flour by the fraction that represents the amount of flour needed for a batch of cookies.
Division is the operation that is used in mathematics to determine the quotient of two or more numbers. It entails grouping a number into equal parts using another number.
Number of batches that can be made = amount of flour ÷ amount of flour needed for one batch
4 ÷ 2/3
4 x 3/2 = 6 batches
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in hypothesis testing, type ii error occurs when: group of answer choices you reject the null hypothesis when the null hypothesis is true you fail to reject the null hypothesis when the null hypothesis is false you reject the null hypothesis when the null hypothesis is false you fail to reject the null hypothesis when the null hypothesis is true
A Type I error occurs in hypothesis testing when one is rejects the null hypothesis and the null hypothesis is true.
To reject the null hypothesis, statisticians conduct hypothesis testing. However, the process is always accompanied by the possibility of making a mistake. These are referred to as hypothesis testing errors.
Type I and Type II errors are the two mutually exclusive errors in hypothesis testing. Type II errors occur when a statistician fails to reject a false null hypothesis, whereas Type I errors occur when a statistician correctly rejects a genuine null hypothesis. So, c is the right response.
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The average income of those who work more and those who work less tends to be equal
What is the null hypothesis?The null hypothesis is a typical statical theory which suggest that no statical relationship and significance exists in a set of given single observed variable , between two sets of observed data and measured phenomena.
The null hypothesis is significant because it offers a rough description of the phenomena inferred from the available evidence. It enables researchers to empirically test the relationship statement in a study.
Example: The null hypothesis is that the population density is the same across all states.
The average income of those who work more and those who work less tends to be equal
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which one would this be?!!?!?
Answer:
A and D
Step-by-step explanation:
hope this helps
What is the absolute value of (4,-4) and (-3,-4)
Answer:
Absolute value means taking the positive value, ie drop the negative sign.
Absolute value brackets are: | value |
|(4,-4)| = (4,4)
|(-3,-4)| = (3,4)
Hope that helps
Which best describes the range of the function f(x) = -(6)* after it has been refle
all real numbers
all real numbers less than 0
O all real numbers greater than 0
O all real numbers less than or equal to 0
ANSWER:all real numbers less than or equal to 0.
Explanation:
When you reflect a function across the x-axis, you negate every y-coordinate in the function.
In our original function, our y-values will all be positive. Reflecting this across the x-axis will make all of the y-values negative; this means the range, or set of y-values, will be less than or equal to 0.
complete the diagrams to represent each fractions. ( a) , ( c ) and (d).
1) The fraction is given as,
[tex]\frac{1}{4}[/tex]c) The fraction is given as,
[tex]1\frac{3}{2}[/tex]d) The fraction is given as,
[tex]2\frac{1}{2}[/tex]Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use inverse operations to solve each equation. Explain each step and identify the property used to reach step.
19
=
h
3
−
8
Using the inverse operations, the value of h is 54.
How to use inverse operation to solve equation?An inverse operation can be defined as the operation that undoes what was done by the previous operation.
Therefore, the inverse operation of multiplication is division.
The equation is as follows:
19 = (h/3) - 8
Hence,
add 8 to both sides of the equation
19 = (h/3) - 8
19 + 8 = (h/3) - 8 + 8
27 = h / 3
Multiply both sides of the equation by 3
27 = h / 3
27 × 3 = h / 3 × 3
h = 54
Therefore,
h = 3
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A line passes through the point (-2, 5) and has a slope of -4.
Write an equation in slope-intercept form for this line.
The most appropriate choice for equation of line in slope intercept form will be given by-
[tex]y = -4x-3[/tex] is the required equation of line
What is equation of line in slope intercept form?
The most general form of equation of line in slope intercept form is given by y = mx + c
Where m is the slope of the line and c is the y intercept of the line.
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = [tex]tan\theta[/tex]
The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.
The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.
Here,
Slope of the line = -4
The line passes through (-2 , 5)
Equation of the required line =
[tex]y - 5 = -4(x - (-2))\\y - 5 =-4x - 8\\y = -4x - 8+5\\y = -4x-3[/tex]
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Which graph represents the solution set for p − 3.6 < −5.8?
number line with open circle on point negative 9.4 and arrow shaded to the left
number line with open circle on point negative 9.4 and arrow shaded to the right
number line with open circle on point negative 2.2 and arrow shaded to the left
number line with open circle on point negative 2.2 and arrow shaded to the right
The correct description of the graph of the inequality is:
"number line with open circle on point negative 2.2 and arrow shaded to the left"
Which graph represents the solution set of the inequality?Here we have the inequality:
p - 3.6 < -5.8
First, we need to solve this, to do so we need to isolate the variable p in one of the sides of the inequality, we will get:
p < - 5.8 + 3.6
p < -2.2
So p is strictly smaller than -2.2, then we will have an open circle at the number -2.2 and a line or arrow that extends to the left.
So the correct option is:
"number line with open circle on point negative 2.2 and arrow shaded to the left"
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