The vertices of triangle FGH are F(-5,1,) G(-2,4), and H(-1,2) the vertices of triangle F’G’H are F’(-5,-1) G(-2,-4) H (-1-2)Identify the transformation of triangle FGH to triangle F’G’H A. A translation across the x-axis B. A reflection across the x-axis C. A dilation D. A rotation
Answers
The transformation of △FGH to △F’G’H is (B) the reflection across the x-axis.
What do we mean by reflection across the x-axis?The x-coordinate remains constant when a point is reflected across the x-axis, but the y-coordinate is assumed to be the additive inverse. Point (x, y) is reflected across the x-axis as (x, -y).A graph will appear to be inverted or on the other side of an axis, such as the x-axis, when it is reflected along that axis.If you look closer, you'll notice that it's symmetrical, meaning that each point is equally spaced from the axis of reflection and the axis of its reflection.As a result, if you reflect a point (x, y) along the x-axis, its x abscissa will remain the same but its y ordinates will negate. So (x,y) becomes (x, -y)
So, the difference between the vertices of triangle FGH and F’G’H is the y-coordinates of the F’G’H triangle are inverse of the y-coordinates of the FGH triangle.
And as we know that in reflection across x-axis the x-coordinate remains constant when a point is reflected across the x-axis, but the y-coordinate is assumed to be the additive inverse.Therefore, the transformation of △FGH to △F’G’H is (B) the reflection across the x-axis.
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Related Questions
2 17/35+5 5/7 in simplest form.
PLS :(
Answers
Answer:
ur answer is 8 1/5
Step-by-step explanation:
ms. smith sharpened 135 pencils. her students used 88 of them how many sharpened pencils does Ms. smith have left.
Answers
Answer: 47
Step-by-step explanation:
Felipe is on his way home in his car his drive is 12 miles long he has finished one fourth of the drive so far how far is he driven
Answers
Answer: 3
Step-by-step explanation: We know that Felipe has driven 1/4 of the way, so 12 divided by 4 is 3.
Help find x-coordinate please
Answers
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ f(x)=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+6}x\stackrel{\stackrel{c}{\downarrow }}{+3} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 6}{2(1)}~~~~ ,~~~~ 3-\cfrac{ (6)^2}{4(1)}\right) \implies \left( - \cfrac{ 6 }{ 2 }~~,~~3 - \cfrac{ 36 }{ 4 } \right)\implies (\stackrel{x}{-3}~~,~~-6)[/tex]
Please explain The polynomial passes through the point of (-4, -8) and has end behavior of down, down. The
intercepts of the graph are x = -2, 1, 2, and 4.
Answers
Answer:
The y-value of the point (4, 8) is (obviously) 8. Since the line has a slope of zero, everywhere on the line will have a y-value of 8. So the equation of the line is y = 8. The x-value can be any number, but the y-value will always be 8
Use the ALEKS calculator to solve the following problems.
(a) Consider a t distribution with 5 degrees of freedom. Compute P (t≤ 1.05). Round your answer to at least three decimal
places.
P (t≤1.05)=
(b) Consider a t distribution with 26 degrees of freedom. Find the value of C such that P(-c
answer to at least three decimal places.
c=
Answers
1.Consider a 5-degree-of-freedom t distribution. P (t≤1.05)=0.829.
2. Think about a t distribution with 26 possible degree. P(t>c)=0.05 and c=1.7056
Given that,
We have 2 question
1. Consider a 5-degree-of-freedom t distribution.
We have to find P (t≤1.05) at least three decimal places, round your response.
From t- value cumulative distribution function
Given a t-value and the degrees of freedom, locate the area under the t-distribution from -t to t.
P(t≤1.05)=0.829.
Therefore, P(t≤1.05) is 0.829.
2. Think about a t distribution with 26 possible degree. P(t>c)=0.05.
We have to find c at least three decimal places.
From inverse t-value distribution function
t=invT(0.95,26)=1.7056
Therefore, c is 1.7056
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Last year, Josh biked b miles. This year, he biked 430 miles. Using b, write an expression for the total number of miles he biked.
Answers
Answer:430 + b
Step-by-step explanation:Last year he biked b miles. This year he biked 430 miles. Add the two to get your answer. Hope this helps!
Answer: b+430= total number of miles biked
Step-by-step explanation:
Suppose that y varies directly with x and that y=77 when x=7. What is the value of x when y=55? Responses 50 50 11 11 24 24 5
Answers
As y varies directly with x, the numerical value of x when y = 55 is 5.
How to solve direct variation problem?Proportional relationships are relationships between two variables where their ratios are equivalent.
A direct variation equation is a linear equation in two variables.
It is expressed as;
y ∝ x
Hence,
y = k(x)
Where k is proportionality constant.
Given that;
y = 77x = 7Proportionality constant k = ?First, we determine the proportionality constant of the direct variation.
y = k(x)
77 = k(7)
Divide both sides by 7
77/7 = k(7)/7
k = 77/7
k = 11
Now, we find the value of x when y = 55
y = k(x)
55 = 11(x)
Divide both sides by 11
55/11 = 11(x)/11
x = 55/11
x = 5
Therefore, the numerical value of x is 5.
Option D)5 is the correct answer.
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Find f(3) graph of function
Answers
Answer:Explanation:
(3)=5
In a graph, te value of f(x) is the cy-value for the given x-value.
Consider the graph below:
• When the x-value = 3
,• The corresponding y-value = 5.
[tex]f\mleft(3\mright)=5[/tex]Therefore, the value of f(3) is 5.
A sample of ore is found to be 0.0094 % silver and 0.037 % copper. What is the percentage of matter in the ore that is
neither silver nor copper? Round your answer to the nearest ten thousandth.
Answers
The proportion of the ore's composition that is neither silver nor copper is 99.9536 %.
What is percentage ?
Percentage , which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
The ore is found to be 0.0094 % silver and 0.037 % copper.
The percentage of matter in the ore that is
neither silver nor copper is = 100% - 0.0094 % - 0.037 %
= 99.9536 %
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A turkey casserole (30 servings) uses 3.75 pounds of turkey breast. To scale the recipe for 50 servings, how much turkey would be needed?
Answers
A turkey casserole (30 servings) uses 3.75 pounds of the turkey breast. To scale the recipe for 50 servings we need 6.75 pounds turkey.
What is a pound?The currency of the United Kingdom and nine of its affiliated territories is called sterling (stg; ISO code: GBP). The primary unit of sterling is the pound (sign: £), while the term "pound" is also frequently used to refer to the British pound or pound sterling in foreign settings.
The oldest currency that is still in the circulation and has been used continuously since its origin is sterling. After US dollar, the euro, and the Japanese yen, it is currently the fourth most traded currency on the foreign exchange market. It makes up basket of currencies used to determine the value of IMF special drawing rights along with other three currencies and the renminbi. Midway through 2021, sterling is also fourth most-held reserve currency in global reserves.
if 30 servings uses = 3.75 pounds
then, 1 serving = 3.75 pounds/ 30
50 servings = [tex]\frac{3.75}{30} * 50[/tex]= 6.25 pounds
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Per Share Seventy-Two Inc., a developer of radiology equipment, has stock outstanding as follows: 60,000 shares of cumulative preferred 3% stock, $20 par and 405,000 shares of $25 par common. During its first four years of operations, the following amounts were distributed as dividends: first year, $30,000; second year, $75,000; third year, $90,000; fourth year, $120,000. Determine the dividends per share on each class of stock for each of the four years. Round all answers to two decimal places. If no dividends are paid in a given year, enter "0.00". 2nd Year 3rd Year Preferred stock (dividends per share). Common stock (dividends per share) 1st Year 0.50 X 4th Year
please help we are stuck on 2nd year and explanation.
Answers
The dividends per share on each class of stock for each of the four years are as follows:
Cumulative Preferred Common Stock
First-year, $0.50 $0
Second year, $0.70 $0.08
Third year, $0.60 $0.13
Fourth year, $0.60 $0.21
How are the dividends per share determined?The dividends per share for each class can be determined by dividing the allocated dividend by the number of shares in the issue.
The allocated dividend to each class depends on the amount of dividend declared. For cumulative preferred stock, when their fixed dividend cannot be sufficiently settled, the arrears are carried forward.
3% Cumulative Preferred Common Stock
Par value $20 $25
Issued shares 60,000 405,000
Stock Value $1,200,000 $10,125,000
Preferred Fixed Dividend = $36,000 ($1,200,000 x 3%)
Distributed Dividends: Cumulative Preferred Common Stock
First-year, $30,000 $30,000 $0.50 $0 $0
Second year, $75,000 $42,000 $0.70 $33,000 $0.08
Third year, $90,000 $36,000 $0.60 $54,000 $0.13
Fourth year, $120,000 $36,000 $0.60 $84,000 $0.21
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Can somebody tell me the answer to 1293/18?
The remainder of the answer to 1293/18 needs to be written as a fraction.
Answers
The result of the 1293/18 in mixed fraction is [tex]71\frac{5}{6}[/tex] and 5 is the remainder
The mixed fraction is a fraction that represented with its quotient and remainder. So generally mixed fraction is a combination of a whole number and a simple fraction.
Simple fraction is a fraction that have whole number as numerator and denominator. Top term in the simple fraction is called numerator and bottom term is called denominator
The given expression is
1293/18 = [tex]71\frac{5}{6}[/tex]
Where 71 is the quotient
5 is the remainder
6 is the divisor
Hence, the result of the 1293/18 in mixed fraction is [tex]71\frac{5}{6}[/tex] and 5 is the remainder
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18. Given J(x. -8) and K(-1,-5) and the graph
of line / below, find the value of x so that
JK \\1.
Answers
answer: solutions is x = - 2
C(x)=0.08x+9.75
What is the total cost for an order of 30 copies?
Answers
Answer:
C^−1 (x) = 12.5 x − 121.875
Step-by-step explanation:
I believe this is the correct answer
0.0001 in scientific notation
Answers
Answer:
1 × 10^-4
Step-by-step explanation:
This is because after the decimal point there are 4 numbers so u have to put -4, and the 1 is there because of the last number
Answer:
1 × 10^-4
Step-by-step explanation:
what is the perimeter of a rectangle with a length of 60m and a width of 75m?
I'll mark brainlest
Answers
Answer: 270m
Step-by-step explanation:
The width is the same on both sides of the rectangle: 75m.
The length is also the same on each side of the rectangle: 60m each.
Add these all up for the perimeter: 75+75+60+60 = 270
Answer:
270 m is the answer
Step-by-step explanation:
add 75m + 60m + 75m + 60m
= 270m
a city planner wants to build a road perpendicular to D street. What is the slope of the new road?
Answers
The slope of the new road is zero.
How to find slope?The slope of a line is the change in y with respect to the change in x.
In other words, the slope of a line is rise over run.
Therefore, the new road the city planner wants to build is perpendicular to the the D street.
(5, 1)(5, 4)
slope of D street = 4 - 1 / 5 - 5
slope of D street = 3 / 0
slope of D street = infinity
An infinite slope is simply a vertical line. Therefore, it is only perpendicular to a horizontal line which will have a slope of 0. Hence, the new road should have a slope of 0.
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these five frames show a shapes different positions
Answers
From the attached image, we can tell that:
From 1 to 2: There is a shift from left to right along the same plane (x-axis).
From 2 to 3: There is a 90° rotation in the clockwise direction.
From 3 to 4: There is a negative vertical shift. Assuming a y-axis this would be from the top down.
From 4 to 5: There is a 180° rotation in the clockwise direction.
What is a rotation?It is to be noted that a rotation is a sort of transformation that rotates each point in a figure a specific number of degrees around a particular point.
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Full Question:
These five frames (in the attached image_ show shapes of different positions. Describe how the shape moves to get from its position in each frame to the next.
According to a candy company, packages of a certain candy contain % orange candies. Suppose we examine random candies. a. What value should we expect for our sample percentage of orange candies? b. What is the standard error? c. Use your answers to fill in the blanks below. We expect ____% orange candies, give or take _____%. Question content area bottom Part 1 a. We should expect 22% of the candies in the sample to be orange. (Type an integer or a decimal.) Part 2 b. What is the standard error? SE 0.021 (Round to three decimal places as needed.) Part 3 c. Use your answers to fill in the blanks below. We expect enter your response here% orange candies, give or take enter your response here%. (Round to one decimal place as needed.)
Answers
The sample percentage of orange candies is 0.22, and the standard error is 0.0195 and the expected 22% orange candies, give or take 1.95%.
a) It is assumed that there are 450 random candies with a p=0.22 percentage of orange candies.
As a result, the orange candy sample percentage should be 0.22.
b) Substituting the above data into the standard error formula, compute the needed value as shown below:
SE= √(p × q) ÷ n = √(0.22 × 0.78) ÷ 450 = 0.0195.
Therefore, the answer is 0.0195.
c) Fill in the blanks with the calculated values to get the following:
Therefore, expected 22% orange candies, give or take 1.95%.
We know that if a population proportion, p is drawn from n Bernoulli trials, then the sample proportion, p vector follows an approximately normal distribution, given the sample size is large. The sample proportion's standard error is given by √(p × q) ÷ n.
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Isaac wants to play miniature golf. Go Golf charges $2.50 for ball and club rental and $4.25 per game. Golf Games charges $3.25 for ball and club rental and $8.50 for two games. For how many games would the cost be the same? Write and solve an equation to determine the number of games for which the cost would be the same.
Answers
For 47 Go golf and 54 golf game would the cost be the same.
Given that -
Go Golf charges -
Ball and club rental = $2.50
For 1 game = $4.25 and
Golf Games charges -
Ball and club rental =$3.25
For 2 game = $8.50
Find out - For how many games would the cost be the same?
Total charges of Go golf per game = $2.50 + $4.25 = $6.75
Total charges of Golf game for 2 games = $3.25 + $8.50 = $11.75
For per game = $11.75 / 2 = $5.875
For Go golf let game = x and
for golf game let game = y
6.75 x = 5.875y
Transformation of the fraction
27/4 x = 47/8 y
After cross multplication
54x = 47y
x/y = 47 / 54
then x = 47
and y = 54.
Hence, The price would be the same for both the 47 and 54 golf games.
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Alan is excited to learn how to ski she went to White peaks Mountain rentals pair of skis for $45 and check for hours of group skiing lessons Alan paid 165 an hour which equation can use to find how much white peaks charges for each hour of group skiing lessons
4(h+45)=165
4h+45=165
45(h+4)=165
45h+4=165
Answers
Answer:
4h+45=165
Step-by-step explanation:
The cost of the skates does not fluctuate, therefore it always costs $45 no matter how long you use them for.
Answer:
4h + 45 = 165
Step-by-step explanation:
The question was a little hard to understand, but I made some assumptions based off of the answer choices and the information. If any of the assumptions I made sound incorrect, please don't use my answer!
Based off of the question and answer choices, I'm going to assume that Alan paid an initial price of $45 for the skis and then spent 4 hours skiing for an unknown hourly rate. The total amount of money she spent was $165.
Let h represent the hourly rate. Since Alan spent 4 hours skiing, 4 multiplied by h will represent the amount of money Alan paid for her skiing time.
Alan spent a total of $165. This means that the cost of the skis ($45) plus the cost of her ski time (4h) equals $165. This can be represented in this equation:
4h + 45 = 165
:)
Which of the following numbers is written in scientific notation?
Answers
The numbers that are written in scientific notation are:
1.8 x [tex]10^{9}[/tex]
3.2 x [tex]10^{-9}[/tex]
5.99 x [tex]10^{-9}[/tex]
What are scientific notations?Scientific notation is a method used in mathematics to compress large numbers to smaller numbers. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10. For example: 1 x 10² is equivalent to 100
The decimal point in scientific notation, must be between the first non zero digit number and the second non-zero digit number.
When writing numbers that are less than zero in scientific notation, the power would have a negative sign in front of it. For example, 1 x [tex]10^{-2}[/tex] is equal to 0.01.
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Vani needs to order some new supplies for the restaurant where she works. The restaurant needs at least 795 forks. There are currently 315 forks. If each set on sale contains 10 forks, write and solve an inequality which can be used to determine x, the number of sets of forks Vani could buy for the restaurant to have enough forks.
Answers
48 sets of forks Vani could buy for the restaurant to have enough forks.
What is inequality?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made. An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made. Polynomial inequality, rational inequality, and absolute value inequality are the various types of inequalities that can exist in mathematics.
Given Data
The restaurant needs at least 795 forks. There are currently 315 forks.
If each set on sale contains 10 forks
(10 ×(x)) ≥ (795-315)
10x ≥ 480
x ≥ 48
48 sets of forks Vani could buy for the restaurant to have enough forks.
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factorise this expression as fully as posaible
5x² + x³
Answers
Answer: 625/12
U just have to find the roots then the product then eliminate the exponent.
Mark branliest <3
Q 2. Using a standard deck of cards (which has 26 red cards and 26 black cards, with 13 cards of
every suit), what is the probability of selecting a red card, and then after replacing the card, selecting a
heart card?
Answers
Answer:
1/8
Step-by-step explanation:
First Pick P(red card) = 26/52 = 1/2
Second Pick after replacement P(heart) = 13/52 = 1/4
P(red on first pick and heart on second pick
= 1/2 x 1/4 = 1/8
Solve for x
Your answer must be simplified
-3 < x - 10
Answers
The simplified inequality is x > 7.
What is an inequality?
An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions. It is most commonly used to compare the sizes of two numbers on a number line. There are multiple notations used to denote various types of inequalities: (i)The symbol a b indicates that an is less than b. (ii)A > b indicates that an is greater than b. In either scenario, a and b are not equal. These are characterized as stringent inequalities because an is either strictly less than or strictly bigger than b. Equivalence is not allowed. In contrast to rigorous inequalities, there are two forms of non-strict inequality relations.
The given inequality -3 < x - 10
or, -3 + 10 < x
or, 7 < x
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What is the rule for 6,8,12,18
Answers
Answer: add 2 to the addends and then add that to the number itselx which would be like 6+2=8, 8+4=12, 12+6=18, 18 +8=26, 26+10=36, 36+12=48, so on and so forth
Step-by-step explanation: brainliest please? i could really use it
Answer:
you add 4 each time
Step-by-step explanation:
you need to add 4 to the number you have each time
PleSe help me solve this problem
Answers
Answer:
56
Step-by-step explanation:
[tex]\binom{8}{3}=\frac{8!}{5!3!}=56[/tex]
Triangle PQT and Triangle RSU are similar right triangles. Which proportion can be used to show that the slope of QT is equal to the slope of RS?
Answers
AAS congruency is used to show the required proportion.
What is AAS congruency?Angle-Angle-Side is referred to as AAS. The triangles are said to be congruent if two of a triangle's angles and one of its non-included sides are equal to the equivalent angles and sides of another triangle.
In the given question ΔPQT ≅ ΔRSU
because ∠QPR= ∠RUS [ each 90°]
∠PQR= ∠URS [ since QP is parallel to UR so these two angles are corresponding angles]
PT= US
thus from AAS congruency ΔPQT ≅ ΔRSU
Thus QT = US from cpct
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