Which statements correctly describe the fraction bar diagram shown at left? Check all that apply.
A fraction bar labeled 1 whole divided into 7 parts. 1 part is shaded.
The unshaded portion of the fraction bar represents a unit fraction.
Each part of the whole fraction bar is equal to one-seventh.
The shaded portion of the fraction bar represents a unit fraction.
The shaded portion of the fraction bar represents .
Each part represents a unit fraction.
The statements that describe the fraction bar diagram shown are:
B. Each part of the whole fraction bar is equal to one-seventh.
C. The shaded portion of the fraction bar represents a unit fraction.
E. Each part represents a unit fraction.
What is a fraction bar?A fraction bar is a visual representation of fractions that helps in comparing fractions and carrying out operations with fractions.
Here, each part of the whole fraction bar is equal to one-seventh, the shaded portion of the fraction bar represents a unit fraction, and each part represents a unit fraction.
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Does the order in which the two transformations in a composite transformation affect the final
answer? provide an example to illustrate your answer.
The order in which the two transformations in a composite transformation affect the final answer
How to determine the composite transformation?To determine if order matters or not, I will use the following example and illustration.
Let the coordinate of point A be:
A = (2, 5)
Perform the following transformations:
Translate by (x, y + 1)Dilate by a scale factor of 2First order: Translation before dilation
The translation by (x, y + 1) would give:
A' = (2, 5 + 1)
A' = (2,6)
The dilation by a scale factor of 2 would give
A" = 2 * (2,6)
A" = (4,12)
Second order: Dilation before translation
The dilation by a scale factor of 2 would give
A' = 2 * (2,5)
A' = (4,10)
The translation by (x, y + 1) would give:
A'' = (4, 10 + 1)
A'' = (4,11)
See that the final coordinates in both orders are not the same.
Hence, the order in which the two transformations in a composite transformation affect the final answer
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Lisa kicked a ball against the wall at the indicated angle. what is the measure, in degrees, of <1?
The measure of angle ∠1 will be 68 degrees.
The missing graph is given below.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The diagram is given below.
Then the measure of angle ∠1 will be
68° + 44° + ∠1 = 180°
∠1 = 68°
The measure of angle ∠1 will be 68 degrees.
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Find the value that completes the proportion. 27/90 = 3/?
a. 10
b. 27
c. 9
d. 3
Answer:
a. 10.
Step-by-step explanation:
27 / 3 = 9
90/10 = 9
So it's 10.
Antra calculated the product 2222 × 2223 × 22 × 24 and got a number. What will be the remainder when the product is divided by 10?
Answer:
the remainder is 8
Step-by-step explanation:
2222 x 2223 x 22 x 24 = 2,608,059,168
2,608,059,168 ÷ 10 = 260,805,916.8
so the remainder is 8
Please answer
i need this for my mathhhh
The two column proof for the given angle addition has been carried out below.
How to Carry out two column proof?
1) m∠CZE = m∠1 + m∠2
Reason: Angle Addition Property
2) m∠FXH = m∠3 + m∠4
Reason: Angle Addition Property
3) m∠CZE = m∠FXH
Reason: Given
4) m∠1 + m∠2 = m∠3 + m∠4
Reason: Substitution Property
5) m∠1 = m∠3
Reason: Subtraction Property
6) m∠3 + m∠2 = m∠3 + m∠4
Reason: Substitution Property
7) m∠2 = m∠4
Reason: Subtraction Property
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factorize x^4 + 2x^3 - 11x^2 - 12x + 36
I need the steps.
Please i need this for today.
[tex]x^4 +2x^3 -11x^2-12x+36\\ \\=x^4-2x^3+4x^3-8x^2-3x^2 +6x-18x+36\\\\=x^3(x-2) +4x^2(x-2) -3x(x-2) -18(x-2)\\\\=(x-2)(x^3 +4x^2 -3x -18)\\\\=(x-2)(x^3+3x^2+x^2+3x-6x-18)\\\\=(x-2)\textbf{[}x^2(x+3)+x(x+3)-6(x+3)\textbf{]}\\\\=(x-2)(x+3)(x^2 +x -6)\\\\=(x-2)(x+3)(x^2 +3x -2x-6)\\\\=(x-2)(x+3)\textbf{[}x(x+3) -2(x+3)\textbf{]}\\\\=(x-2)(x-2)(x+3)(x+3)\\\\=(x-2)^2(x+3)^2[/tex]
given f(x)=5(4-x) what is the value of f(-7)
So we replace "x" with the necessary value (-7):
[tex]f( - 7) \: = \: 5(4 \: - \: ( - 7))[/tex]
[tex]f( - 7) \: = \: 5(4 \: + \: 7)[/tex]
[tex]f( - 7) \: = \: 5 \: \times \: 11[/tex]
[tex]f( - 7) \: = \: \boxed{ \bold{55}}[/tex]
Answer:[tex] \boxed{ \bold{55}}[/tex]
MissSpanishChristian owns a small business selling bagels. He knows that in the last week 10 customers paid cash, 14 customers used a debit card, and 38 customers used a credit card. Based on these results, express the probability that the next customer will pay with a credit card as a decimal to the nearest hundredth.
The probability that the next customer will pay with a credit card is 0.61.
What is probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.
Given that Cristian's customers pay using, cash, debit cards and credit cards,
He knows that in the last week 10 customers paid cash, 14 customers used a debit card, and 38 customers used a credit card.
We need to find the probability that the next customer will pay with a credit card,
Therefore,
The favorable outcomes = 38
Total outcomes = 38+10+14 = 62
Therefore,
P(credit cards) = 38/62 = 0.61
Hence the probability that the next customer will pay with a credit card is 0.61.
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It+is+said+60%+of+families+own+a+pet. +of+a+sample+of+95+families,+70+owned+pets. +perform+a+hypothesis+test+to+determine+whether+the+percent+of+families+who+own+pets+is+different+than+60%
There is sufficient evidence to conclude that, the percentage of the families who own a pet is different than 60%.
What are null hypotheses and alternative hypotheses?In null hypotheses, there is no relationship between the two phenomena under the assumption that it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
It Is said That 60% of families own a pet.
Of a sample of 95 families, 70 owned pets.
Whether the percent of families who own pets is different than 60%.
Let P be a proportion of the family who owns pets
Then by the test, we have
H₀: P = 0.60
Hₐ: P ≠ 60
Then by the test statistic, we have
[tex]z_o = \dfrac{\bar{P} - P_o}{\sqrt{\dfrac{P_o(1 - P_o)}{n}}}[/tex]
Where
[tex]\bar P[/tex] = sample proportion
P₀ = hypothesis proporion
n = sample size
Then we have
[tex]\bar P[/tex] = x/n
[tex]\bar P[/tex] = 70/95
[tex]\bar P[/tex] = 0.74
Then the test statistic will be
[tex]z_o = \dfrac{0.74-0.60}{\sqrt{\dfrac{0.60(1-0.60)}{95}}}[/tex]
z₀ = 2.785
Then the critical region will be
Critical value = ± [tex]z_{\alpha /2}[/tex]
α = 0.05
α/2 = 0.025
Then we have
z₀.₀₂₅ = 1.96
Then the critical value will be
Critical value = ± 1.96
We reject if [tex]|z_o| > |z_{\alpha /2}|[/tex]
We have
[tex]|z_o| > |z_{\alpha /2}|\\[/tex]
2.79 > 1.96
We reject the null hypothesis at a 5% significance level.
There is sufficient evidence to conclude that, the percentage of the families who own a pet is different than 60%.
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Where is the other endpoint located if the midpoint is at (0,-5) and one of the endpoints is (-3,-2)?
Answer:
3,-8
Step-by-step explanation:
x: from -3 to 0 is +3 add +3 more 3
y: from -2 to -5 is -3 add -3 more -8
what is 6÷2(1+2)
someone help
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{6\div2(1 + 2)}[/tex]
[tex]\mathsf{= \dfrac{6}{2}(1 + 2)}[/tex]
[tex]\mathsf{= \dfrac{6}{2}\times(1 + 2)}[/tex]
[tex]\mathsf{= \dfrac{6}{2}\times \bf 3}[/tex]
[tex]\mathsf{= \bold{3}\times3}[/tex]
[tex]\mathsf{= \bf 9}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\frak{9}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Maria is on a hike. If she hikes to the scenic lookout on the following map first, she will have to hike farther than if she
went straight to the end of the hike.
Y
end
scenic lookout
5 6 7
1
765
4
6+
5+
432
23
-2+
-3+
-4+
-5+
67
7-6-5-4-3-2
Maria
Coordinate values on the map are in kilometers.
1
1
N
HE
Based on the distance to the end of the hike and the distance to the scenic lookout, we can calculate that the straight route is 2 km shorter than the scenic lookout route.
Which route is shorter for Maria?If Maria took the straight route to the end of the Hike from the coordinates, (4, -4) to (-5, 5), she would have to walk 13 km.
If she went the scenic lookout route, she would have to first go to (2,3) before going to (-5,5) which is 15 km.
The difference is:
= 15 - 13
= 2 km
A more readable version of the question is:
Maria is on a hike. If she hikes to the scenic lookout on the following map first, she will have to hike farther than if she went straight to the end of the hike.
3 connected points on a coordinate plane. The point labeled, "Maria," is at 4, -4. The point labeled, "end," is at -5, 5.
A solid line connect the points "Maria" and "end." The point labeled, "scenic lookout," is at 2, 3. Dashed lines connect "Maria" to "scenic lookout" and connect "scenic lookout" to "end."
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Answer:
2KM
Step-by-step explanation:
Find the sum of the following series.
PLEASE SOMEONE HELP!!!
The given sum for n = 1 to n = 15 is equal to 255, so the correct option is B.
How to find the sum of the given series?
We want to find the sum of the series whose elements are of the form:
(2n + 1)
From n = 1 to n = 15.
Then our sum will be:
(2*1 + 1) + (2*2 + 1) + ... + (2*15 + 1).
3 + 5 + ... + 31
This is the sum of all odd numbers in the interval [3, 31]
Which gives:
[tex]S = 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 + 31 = 255[/tex]
So the correct option is B.
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The ruins of a pyramid has 49 blocks in the bottom row. Each additional row has two less blocks than the first. If there are 15 rows in total:
There are 18 blocks in the first row
The missing part of the questionCalculate the number of blocks on the first row
How to determine the number of blocks?The ruin is given as:
Ruin = 49
The common difference is given as:
d = -2
The number of block on each row is then represented as:
Blocks = 48 - 2n
Where n represents the number of rows.
In this case, the first row would have a value of n = 15
So, we have:
Blocks = 48 - 2 * 15
Evaluate
Blocks = 18
Hence, there are 18 blocks in the first row
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Create a cylinder with a height of 14 cm and a radius of 10 cm. what can be concluded about the cylinder’s volume when the radius is halved? the volume is one-fourthof the original. the volume is one-thirdof the original. the volume is one-halfof the original. the volume is twice the original.
The conclusion about the cylinder volume when the radius is half is that the volume is one-fourth of the original
How to find the volume of a cylinder?
The volume of a cylinder can be represented as follows;
volume = πr²h
volume = π × 10² × 14
volume = 1400π cm³
Let's half the radius as follows:
radius = 10 / 2 = 5 cm
volume = π × 5² × 14
volume = 350π cm³
Therefore, the new volume is one fourth of the original when the radius is halved.
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Answer:
a
Step-by-step explanation:
2x + 5y = -16 solve for Y
Answer:
y = -(2x+16) / 5
Step-by-step explanation:
2x + 5y = -16
5y = -2x - 16
y = (-2x - 16) / 5
y = -(2x+16) / 5
there is 1 litre of tea in a teapot, alex pours 275ml of the tea into a cup what percentage of the tea has alex poured
Answer:
27.5%
Step-by-step explanation:
Given:
1 Liter In TeapotAlex poured 275 milliliters of the tea into a cupReview:
1,000 Milliliters = 1 LiterConcepts:
A liter is a noun meaning a unit of capacity redefined in 1964 by a reduction of 28 parts in a million to be exactly equal to one cubic decimeter. It is equivalent to 1.0567 U.S. liquid quarts and is equal to the volume of 1 kilogram of distilled water at 4°C.A millimeter is a noun meaning a unit of capacity equal to one thousandth of a liter, and equivalent to 0.033815 fluid ounce, or 0.061025 cubic inch.Formula:
The mℓ to ℓ formula is [L] = [mL] / 1000.Now we must convert 275 milliliters to liters.
1. Divide the volume by 1,000.
275 ÷ 1000 = 0.275
2. Add the Unit Symbol for Liter.
0.275 ⇒ 0.275 L
Now we have to find how much of 1 liter- 0.275 liters as a percentage is.
To convert 0.275 to percent multiply 0.275 by 100. The result is 27.5 percent, or, using the percent sign, 27.5 %.
Mallory took out a loan for $1500. She paid the loan back in 1 year with 7% simple interest. How much did Mallory pay in total?
Answer:
$1605
Step-by-step explanation:
Because this is simple interest, you can convert the 7% into a decimal
Because she payed an EXTRA 7% she payed 107% total
107% is the equivalent to 1.07
By multiplying 1500 x 1.07 = 1605
PYTHAGOREAN THEOREM IN 3D URGENT PLEASE PHOTO INSERTED
To find the length of the diagonal, we need to calculate the length of the base first and then use the value to calculate the diagonal since we are given the value of height of the triangle.
Pythagorean TheoremThis theorem is used to find the missing side of a right angle triangle given that we have the length of two sides.
To calculate the base of the triangle, let's use Pythagorean theorem here
[tex]x^2 = y^2 + z^2\\x^2 = 2^2 + 3^2\\x^2 = 4 + 9 \\x^2 = 13\\x = \sqrt{13} \\x = 3.61[/tex]
Having the length of the base, let's consider the height of the triangle which is 6 and substitute the values.
[tex]d^2 = 6^2 + 3.61^2\\d^2 = 36 + 13.0321\\d^2 = 49.0321\\d = \sqrt{49.0321} \\d = 7.00[/tex]
From the calculations above, the values of the triangle are
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For tax purposes, a car rental company assumes each car in their fleet depreciates by 6% per year. If the initial value of a car is $38,800.00, what will the value be when the car is 10 years old?
Options:
a.) $20,898.27
b.) $31,702.42
c.) $28,612.06
d.) $62,694.80
The value of a car after 10 years be $20898.27 if the car rental company assumes each car in their fleet depreciates by 6% per year option (a) $20898.27 is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]
where a is a constant and a>1
We can solve this problem by exponential function:
The word depreciate means the price is decreasing.
We can find the value be when the car is 10 years old:
p = 38800(1 - 0.06)¹⁰
p = 38800(0.94)¹⁰
p = 20898.266 ≈ $20898.27
Thus, the value of a car after 10 years be $20898.27 if the car rental company assumes each car in their fleet depreciates by 6% per year option (a) $20898.27 is correct.
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The mean percent of childhood asthma prevalence in 43 cities is 2.25%. A random sample of 31 of these cities is selected. What is the probability that the mean childhood asthma prevalence for the sample is greater than 2.7%? Interpret this probability. Assume that σ= 1.27%.
The probability is
(Round to four decimal place)
The Probability that the mean childhood asthma prevalence for the sample is greater than 2.7% is 0.0357.
What is Probability ?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
For a Normal Distribution, the z-score formula
[tex]z = \dfrac{X-\mu}{\sigma}[/tex]
Here X is the mean and sigma is the standard deviation.
Mean of 2.25% = 2.25
The standard deviation of 1.27%, sigma = 1.27
For Sample 31 the value of the standard deviation is
s = 1.27/√31
s = 0.2442
Substituting the values
Z = ( 2.25 -1.27)/0.2442
Z = 1.8
the p-value from the graph of z and p = 0.9643
To determine value of probability greater than X is 1 - 0.9643 = 0.0357
The Probability that the mean childhood asthma prevalence for the sample is greater than 2.7% is 0.0357.
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In multiplication, what is the inverse
of this number?
Give your answer in lowest terms.
1000
450
The multiplicative inverse of 1000/450 is 9/20
How to determine the inverse of the number?The multiplicative inverse of a number x is:
Inverse = 1/x
The number is given as: 1000/450.
So, we have:
Inverse = 1/(1000/450)
Evaluate the expression
Inverse = 450/1000
Simplify
Inverse = 9/20
Hence, the multiplicative inverse of 1000/450 is 9/20
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Use the diagram to answer the question
Step-by-step explanation:
cos(a) = 1/2 or 0.5
that means a = 60°
the cosine value is the x coordinate, the sine value the y coordinate.
so, only an answer with 1/2 as x coordinate can be right.
and therefore, the 4th answer (bottom right) is correct.
How do I simplify this expression?
Answer:
[tex]a=1\\\\b=7[/tex]
Step-by-step explanation:
[tex]\dfrac{x^2 (y^3)^4}{xy^5}\\\\\\=x^{2 -1} \cdot \dfrac{y^{3 \times 4}}{y^5}\\\\\\=x^1 \cdot \dfrac{y^{12}}{y^5}\\\\\\=x^1 \cdot y^{12-5}\\\\\\=x^1 \cdot y^7\\\\\text{Hence a = 1, b = 7}[/tex]
What is the percent increase of going from 40 to 60
The percent increase of going from 40 to 60 is 50%.
We have the Formula
Percent Increase = (New Value - Original Value) / Original Value x 100
As, the values changes from 40 to 60.
So, Percent Increase = (60 - 40) / 40 * 100
Percent Increase = 20 / 40 * 100
Percent Increase = 0.5 * 100
Percent Increase = 50%
Therefore, going from 40 to 60 represents a percent increase of 50%.
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The original price of a sweatshirt is $50. The sale price is 75% off the original price. Find the sale price of the sweatshirt.
Answer:
$87.5
Step-by-step explanation:
Original price also means COST PRICE
C.P=$50
S.P=75% of $50-$50
To find the sale price it will be 75% of C.P -C.P
75% × $50 + $50= 0.75 × $50-$50
=$37.5-$50.
= $12.5
therefore the sale price is $12.5
THANK YOU
The price of the sweatshirt at the sale is $12.5 which is 75% off of the original price.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, The original price of a sweatshirt is $50.
Also given that the sale price is 75% off the original price So, the cost of the sweatshirt is (100 - 75)% = 25% of the original price which is,
= (25/100)×50.
= $12.5.
So, The sale price of the sweatshirt is $12.5.
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hat is the slope of the linear relationship shown in this table of values?
x y
-4 11
2 -1
5 -7
By using any two of the points in the table, we will see that the slope is -2.
How to get the slope for the linear relationship?
A general linear relationship is:
y = a*x + b
Where a is the slope and b is the y-intercept.
Remember that if the line passes through (x₁, y₁) and (x₂, y₂), the slope is:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here we can use the first two points on the table:
(-4, 11) and (2, -1), so the slope is:
[tex]a = \frac{11 - (-1)}{-4 - 2} = 12/-6 = -2[/tex]
Then the slope of the line is -2.
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Question meant for only the smartest. Please help would be much appreciated!
Answer:
the length of DE is 1/2*9 = 4.5
the surface area of a cylinder is 140 pie square feet, and its height is 9 feet. find its radius
Answer:
the radius is 2.02
Step-by-step explanation:
use the formula to solve the radius of a cylinder