What is the scale factor for AXYZ to AUVW?
OA. 2
OB. 4
O C.
1
4
Y
8/37- 10
53
X 6 Z
16
V
37⁰
U
20
MANICH
53⁰
12 W
Answers
The scale factor for ΔXYZ to ΔUVW include the following: A. 2.
What is scale factor?In Mathematics and Geometry, the scale factor of a geometric figure can be calculated by dividing the dimension of the image (new figure) by the dimension of the pre-image (original figure):
Scale factor = Dimension of image (new figure)/Dimension of pre-image (original figure)
By substituting the given parameters into the formula for scale factor, we have the following;
Scale factor = Dimension of image/Dimension of pre-image
Scale factor = 20/10 = 16/8 = 12/6
Scale factor = 2.
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Related Questions
Which is greater 1.5 or 2/3?
Answers
Answer:
1.5
Step-by-step explanation:
If we turn 2/3 in to a decimal, it would be 0.6 with the 6 repeating. We can tell that 1.5 has a one that is whole, so 1.5 would be greater.
Using a standard deck of 52 cards, Lisa drew a card, recorded the suit of the card picked, then replaced it back in the deck. She continued this for a total of 40 draws. The table shows the frequency of each type of card drawn.
Answers
The experimental probability of not selecting a heart is (D)P(not heart) = 77.5%
How to find the experimental probability ?The experimental probability that a heart is selected is:
= Number of times hearts was selected / Number of times Lisa drew a card
= 9 / 40
This then means that the experimental probability of not selecting a heart is:
= 1 - experimental probability of selecting a heart
= 1 - 9 / 40
= 31 / 40
= 0. 775
= 77. 5 %
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The question is:
Determine the experimental probability of not selecting a heart.
(A) P(not heart) = 9%
(B) P(not heart) = 10%
(C) P(not heart) = 67.5%
(D)P(not heart) = 77.5%
Which of the following is a geometric sequence?A. -5,0,10,25,45B. 1,2,4,8,16C.-3,1,5,9D. 4,8,24,96,480
Answers
Solution:
We are required to determine which is a geometric sequence.
Firstly, let us look at what a Geometric sequence is .
In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
In summary, a Geometric sequence has a common ratio.
Let us take a look at the options one after the other
A. -5,0,10,25,45
\(\begin{gathered} \frac{0}{5}\text{ = 0} \\ \\ \frac{10}{0}=\infty \\ there\text{ is no common ratio here, hence it is not a Geometric sequence} \end{gathered}\)B. 1,2,4,8,16
\(\begin{gathered} \frac{2}{1}=2 \\ \\ \frac{4}{2}=2 \\ \\ \frac{8}{4}=2 \\ \\ \frac{16}{8}=2 \\ We\text{ can see that this sequence has a common ratio of 2, hence it is a geometric sequence} \end{gathered}\)C.-3,1,5,9
\(\begin{gathered} \frac{1}{-3}=-\frac{1}{3} \\ \\ \frac{5}{1}=5 \\ There\text{ is no common ratio here, hence it is not a geometric sequence} \end{gathered}\)D. 4,8,24,96,480
\(\begin{gathered} \frac{8}{4}=2 \\ \frac{24}{8}=3 \\ There\text{ is no common ratio here, hence it is not a geometric sequence} \end{gathered}\)Thus, the answer is B. 1,2,4,8,16
.
Describe how to find the product of the two terms 3x²y^5 and 4x³y^7
Answers
Answer:
see explanation
Step-by-step explanation:
using the property of exponents
• \(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)
given
3x²\(y^{5}\) × 4x³\(y^{7}\) ( separate like parts in the product )
= 3 × 4 × x² × x³ × \(y^{5}\) × \(y^{7}\)
= 12 × \(x^{(2+3)}\) × \(y^{(5+7)}\)
= 12\(x^{5}\)\(y^{12}\)
12x^5y^12.
Step by step solved:
Multiply the coefficients: 3 x 4 = 12.
3x²y^5 * 4x³y^7 = 12x²x³y^5y^7
Multiply the variables with the same base (x) by adding their exponents: x² x x³ = x^(2+3) = x^5.
12x²x³y^5y^7 = 12x^5y^5y^7
Multiply the variables with the same base (y) by adding their exponents: y^5 x y^7 = y^(5+7) = y^12.
12x^5y^5y^7 = 12x^5y^12
Combine the results of steps 1-3 to get the product of the two terms:
12x^5y^12
Therefore, the product of 3x²y^5 and 4x³y^7 is 12x^5y^12.
select whether the following numbers are rational or irrational. please help me
Answers
1)13/4: Rational (a fraction)
2)√17: Irrational (square root of a non-perfect square)
3)3π: Irrational (product of a rational number and an irrational number)
4)0.1 (1 bar): Rational (repeating decimal)
5)-√2: Irrational (negative square root of a non-perfect square)
6)√24: Irrational (square root of a non-perfect square)
7) -√49: Rational (negative square root of a perfect square)
1)13/4: Rational - This number is a fraction, and any number that can be expressed as a fraction is considered rational. In this case, 13/4 can be simplified to 3.25, which is a rational number.
2)√17: Irrational - The square root of 17 cannot be expressed as a simple fraction or terminating decimal. It is an irrational number, meaning it cannot be expressed as a ratio of two integers.
3)3π: Irrational - π (pi) is an irrational number, and when multiplied by a rational number like 3, the result is still an irrational number. Therefore, 3π is an irrational number.
4)0.1 (1 bar): Rational - This number is a repeating decimal, indicated by the bar over the 1. Although it does not have a finite representation, it can be expressed as the fraction 1/9, which makes it rational.
5)-√2: Irrational - Similar to √17, the square root of 2 is also an irrational number. Multiplying it by -1 does not change its nature, so -√2 remains an irrational number.
6)√24: Irrational - The square root of 24 is an irrational number because it cannot be expressed as a simple fraction or terminating decimal. It can be simplified to √(4 × 6), which further simplifies to 2√6, where √6 is an irrational number.
7)-√49: Rational - The square root of 49 is 7, which is a rational number. Multiplying it by -1 does not change its nature, so -√49 remains a rational number.
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The complete question is :
Select whether the following numbers are rational or irrational.
1. 13/4
2. \sqrt{17}
3. 3 π
4. 0.1 (1 bar)
5. - \sqrt{2}
6. \sqrt{24}
7. - \sqrt{49
Richard Gaziano is a manager for Health Care, Inc. Health Care deducts Social Security, Medicare, and FIT (by percentage method) from his earnings. Assume a rate of 6.2% on $118,500 for Social Security and 1.45% for Medicare. Before this payroll, Richard is $1,000 below the maximum level for Social Security earnings. Richard is married, is paid weekly, and claims 2 exemptions. What is Richard’s net pay for the week if he earns $1,700?
Answers
Richard's net pay for the week, considering Social Security, Medicare, and FIT deductions, can be calculated by subtracting the total deductions from his gross earnings.
First, let's determine the amount deducted for Social Security. The Social Security rate is 6.2%, and the maximum earnings subject to this deduction are $118,500. Since Richard is $1,000 below the maximum level, the amount subject to Social Security deduction is $1,000. Therefore, the Social Security deduction is 6.2% of $1,000.
Next, we calculate the Medicare deduction. The Medicare rate is 1.45%, and it is applied to the entire earnings of $1,700.
To calculate the FIT deduction, we need additional information about Richard's taxable income, tax brackets, and exemptions. Without this information, we cannot provide an accurate calculation for the FIT deduction.
Finally, we subtract the total deductions (Social Security, Medicare, and FIT) from Richard's gross earnings of $1,700 to obtain his net pay for the week.
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Manny’s Music Rental charges a fee of $40 plus $25 per month to rent a saxophone. Sid’s Saxophones charges $25 plus $30 per month to rent the same saxophone. Write the system of equation the represents the cost of Sarah's rental shop and another equation for David's rental shop.
Answers
Answer:
Manny's Music Rental: y = 40 + 25x
Sid's Saxophones: y = 25 + 30x
Step-by-step explanation:
Let x = number of months
Let y = total cost of renting a saxophone
Manny's Music Rental: y = 40 + 25x
Sid's Saxophones: y = 25 + 30x
Last year, the population of a small town was 1,140 people. This year, the population incrreased by 15%. What is the
population of the town this year?
Answers
Answer:
171
Step-by-step explanation:
1140 * 15
What is 20 dived by 5 +19-6
Answers
Answer:
17
Step-by-step explanation:
20 divided by 5 + 19 - 6
20 divided by 5 = 4
4 + 19 = 23
23 - 6 = 17
MARKING BRAILIEST!!!! Select the statement that describes this expression: 13 + fraction 1 over 2 x (6 ÷ 2 + 6)
a: 13 more than half of 6 more than the quotient of 6 and 2
b:13 more than half of the quotient of 6 and 6 minus 2
c:Half of 13 multiplied by the quotient of 6 and 2 plus 3
d:13 plus half of 6 divided by 2, then subtract 6
Answers
Answer: D
You get the same answer from doing both!
Answer:
a
Step-by-step explanation:
IF YOU HELP ILL GIVE U BRAINIEST!! HELPPPPPP
Solve for c in terms of x.
Answers
Answer:
c = x + 5
Step-by-step explanation:
using Pythagoras' identity in the right triangle
c² = 5² + (\(\sqrt{x^2+10x}\) )²
= 25 + x² + 10x
= x² + 10x + 25 ← a perfect square
c² = (x + 5)²
take the square root of both sides
c = \(\sqrt{(x+5)^2}\) = x + 5
A hiker walks 5 km/hr, how long does it take him to walk 48 km?
Answers
Answer:
\(\sf 9.6\:hours \:\: or \:\: 576\: minutes\)
Explanation:
\(\sf Time \ taken : \dfrac{Distance}{Speed}\)
Here given:
distance: 48 kmspeed: 5 km/hourApplying formula,
\(\sf Time \ Taken = \dfrac{48}{5} = 9.6 \ hours = 576 \ minutes\)
3. Marco orders a large pizza, with a diameter of 14 inches. It is cut into 8 congruent
pieces. What is the area of one piece?
A
B.
5.5 square inches
19.2 square inches
21.2 square inches
77.0 square inches
C.
D.
1/2
1 2
Answers
Answer:
Step-by-step explanation:
Hope this helped
The area of each piece will be 19.2 sq.in.
What is an area?The area is the region bounded by the shape of an object.
Given that, Marco orders a large pizza, with a diameter of 14 inches. It is cut into 8 congruent pieces.
Since, the pieces are congruent, so they will have equal areas too.
Area of a circular object = π*radius²
Area of the pizza = 3.14*7² = 153.86 sq.in
The area of one piece = 153.86/8 sq.in = 19.2 sq.in
Hence, The area of each piece will be 19.2 sq.in.
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Volume?? Please help giving out brainliest and 12 points for answering
Answers
Answer:
1395
Step-by-step explanation:
Since the Hight of the rectangular prism is 7 we can subtract that from 17 to get 10 for the Hight of the pyramid
volume of rectangular prism is 15·9·7=945
volume of pyramid is (15·9·10)/3=450
add
450+945=1395
3. Solve the following system of inequalities graph
on the set of axes below.
3x + y <7
X- - 4
State the coordinates of a point in the solution set.
Answers
Answer:
see attached
Step-by-step explanation:
The boundary line of the first inequality has a slope of -3 and a y-intercept of 7. It is a dashed line because it is not included in the solution set. y-values in the set are less than those on the line, so shading is below it.
The boundary line of the second inequality has a slope of 2/3 and a y-intercept of -4. It is a solid line because it is included in the solution set. y-value in the set are greater than or equal to those on the line, so shading is above it.
The solution set is in the left quadrant of the X that the lines make. Any point in that quadrant will be in in the solution set. We have shown (-3, -2) on the graph. (0, 0) is another point in the solution set.
__
Additional comment
When the inequality symbol is replaced with an equal sign (=), the resulting equation is the equation of the boundary line of the solution set. When that equation is written in the form ...
y = mx +b
the coefficient of x (m) is the slope of the line. It tells the rise/run of the line, the number of grid squares up for each square to the right. The constant (b) is the point on the y-axis where the line crosses. These values are usually sufficient to help you plot the line.
__
To determine shading, pick a variable term with a positive coefficient. (In this set of inequalities, they all have positive coefficients.) Look at the relation of the term to the inequality symbol. This tells you where the shading is.
3x < . . . . shading is left of the line
y < . . . . . shading is below the line
The first line has negative slope, so "left" and "below" are on the same side of the line.
y ≥ . . . . shading is above the line
≥ 2/3x . . . . shading is left of the line (x is less than or equal values on the line)
The second line has positive slope, so "above" and "left" are the same side of the line.
Factor the answer
5u-15
Answers
Answer:
5(u - 3)
Step-by-step explanation:
5u - 15
5(u - 3)
Answer:
5 (u - 3)
Step-by-step explanation:
Your station charges $6.50 for a lubrication job. As a promotion you sell six coupons for lubrication jobs for $32.50 What percentage discount are you offering for customers who purchase the 6-coupon lube booke (to the nearest tenth)
Answers
Answer:
16.7%
Step-by-step explanation:
The regular price for a lubrication job is $6.50. With the promotion, customers can purchase 6 coupons for $32.50.
To find the percentage discount offered, we need to compare the regular price with the discounted price.
The regular price for 6 lubrication jobs would be:
$6.50 x 6 = $39
With the coupon book, the customer pays $32.50 for 6 lubrication jobs.
The amount of discount is:
$39 - $32.50 = $6.50
Therefore, the percentage discount offered is:
($6.50 / $39) x 100% = 16.7%
So the station is offering a discount of 16.7% to customers who purchase the 6-coupon lube book.
Person 3 bought a brand new car for $22,000. A year later the car had depreciated 23%. How much did the car depreciate?
What is the value of the car now?
Answers
Welcome
Billy Bob has a fish tank shaped like a rectangular prism
that is 20 cm by 20 cm by 16 cm. What is the volume of the
tank? Show your work.
Answers
Answer:
\(6400{cm}^{3} \)
Step-by-step explanation:
Since this is a rectangular prism, simply multiply all the lengths together:
20×20×16 = 6400
Find the measure of angle BCA
Answers
Answer: I think it's 30 degrees. Sorry if I'm wrong.
Step-by-step explanation:
uhhh if you get all of these correct ill gib banana
Answers
Answer:
For the first one, I believe it's RT and TV - ST and TU
Second one, first and second answer.
And third is SSS I believe
Really hope this helps you out, I struggle a bit in Geometry as well, so I get what you're going through
PLEASE HELP ASAP THANK YOU, I'LL GIVE BRAINLIEST
Rebecca sells cupcakes for $3.50 each and charges customers an automatic $2 charge for a cupcake box as well. A customer walks in with $44 dollars. Represent the number of cupcakes that the customer can buy as an inequality.
Write the solution to the inequality in interval notation below.
Answers
Answer: The amount of cupcakes Rebecca can buy can be represented as: x < 45
Step-by-step explanation:
HELP PLEASE!! VERY FAST!!
Answers
Answer:
the correct answer is option B. V only
Manny goes bowling.
• He has $25.00 to spend.
• He spends $4.25 to rent shoes.
• He spends $2.50 for each game he bowls.
Which inequality can Manny use to determine x, the greatest number of games he can bowl?
A 2.5 + 4.25% > 25
B 4.25 +2.52 > 25
C 2.5 +4.25.0 < 25
D 4.25 +2.52 < 25
Answers
The pair of equations y = 0 and y = -7 has how many solutions?
Answers
Answer:
2 solutions so it can be inferred that it might be a quadratic
Step-by-step explanation:
Answer:
no solutions
Step-by-step explanation:
y = 0 and y = - 7 are horizontal parallel lines.
Since they are parallel, they never intersect and so have no solutions.
A plant has an initial height of 1 inch and grows at a constant rate of 3 inches each month.A second plant that also grows at a constant rate has an initial height of 4 inches and is 28 inches tall after 1 year. After how many months are the plants the same height?
Answers
Answer:
3 MONTHS
Step-by-step explanation:
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what is the average lexile score for an 8th grader?
Answers
A florist prepares an order of daisies and roses. For every 5 daisies, she orders 2 roses. What two equations show the relationship between the number of daisies and the number of roses.
Answers
Answer:
The answer is 10
Step-by-step explanation:
it says for every 5 daisies and 2 roses it like getting 2 and putting it into 5 groups which equals
10.
To evaluate 8^2/3 find
Answers
To evaluate \(8^{\frac{2}{3} }\) first find the square of 8 and then take the cube root.
What are exponents?The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.
Depending on the powers they possess, many rules of exponents are given.
Law of Multiplication: Exponents should be added while keeping the base constant when multiplying like bases.
Exponents should be multiplied while bases are kept constant when bases are raised by a power of two or more.
Division Rule: When dividing like bases, maintain the base constant and deduct the exponent of the denominator from the exponent of the numerator.
The given value can be written as:
\(8^{\frac{2}{3} } = \sqrt[3]{8^{2} }\)
Hence, to evaluate \(8^{\frac{2}{3} }\) first find the square of 8 and then take the cube root.
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4 if the mixing ratio of a sample of air is 2 grams/kilogram, and the temperature of the sample is 25 degrees celsius, yielding a saturation mixing ratio of 20 grams/kilogram, what is the relative humidity of the sample?
Answers
Because the temperature is greater, the relative humidity of the atmosphere is higher.
Relative humidity: What is it?Water vapor is also measured by relative humidity (RH), which is stated as a percentage but RELATIVE to the air's temperature. In plenty of other terms, it is a comparison between the quantity of water vapor that is really present in the air and the maximum amount water vapor that is possible for the air at the current temperature.
How can relative humidity be determined from temperature?By deducting the temperature just on wet-bulb thermometer from of the temperature just on dry-bulb thermometers and utilizing a relative humidity chart, one may determine the relative humidity.
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