By using a dilation around the origin, the coordinates of vertex C' are C'(x, y) = (9, - 15).
What are the coordinates of a vertex of a rectangle?
In this problem we find the four vertices of a rectangle and a scale factor and we are asked to determine the coordinates of the image of one of its vertices by using a dilation. Under the assumption of dilation about the origin, then the transformation rule is defined below:
C'(x, y) = 3 · C(x, y)
Where:
C(x, y) - Coordinates of the original point.C'(x, y) - Coordinates of the resulting point.If we know that C(x, y) = (3, - 5), then the coordinates of vertex C' are:
C'(x, y) = 3 · (3, - 5)
C'(x, y) = (9, - 15)
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The sum of the first and third of three consecutive even integers is 156. Find the three even integers.
the temperature was 3 degrees celcius at midday. By evening, the temperature was -5 degrees celcius
Javier threw 54 pitches in game 1 of the playoffs. He threw 76 pitches in game 4 of the playoffs. In game 7 he was able to pitch in the whole game throwing 83 pitches. What is the average amount of piches he threw per game he pitched?
average amount of pitches he threw per game is [tex]\frac{213}{3}[/tex] = 71
According to the question,
Given that,
Javier threw 54 pitches in game 1,
He threw 76 pitches in game 4 and
He threw 83 pitches in game 7
total pitches in all 7 games is 54 + 76 + 83 = 213
average amount of pitches he threw per game is [tex]\frac{213}{3}[/tex] = 71
Definition
Pitches per inning pitched is a tool used to evaluate how efficient a pitcher is at getting his outs -- or how many pitches he typically needs to use to do his job. Calculating the number is easy enough. It's found by dividing a pitcher's total number of pitches thrown by his total number of innings pitched.
Pitchers with the game's best P/IP rate typically average fewer than 15 pitches per inning. A starting pitcher with those numbers would be able to go seven innings on fewer than 105 pitches.
For all games of eight or more innings, a starting pitcher must pitch at least five complete innings to receive credit as the winning pitcher. For all games of fewer than eight innings, the starting pitcher must pitch at least four innings to get credit for the win. Additionally, the winning pitcher’s team must be in the lead when he is replaced and must remain in the lead for the rest of the game.
b. If the starting pitcher does not pitch enough innings, the win is credited to a relief pitcher in the following manner:
1) The winning relief pitcher shall be the one who is the pitcher of record when his team goes ahead and remains ahead throughout the remainder of the game. No pitcher may receive credit for a victory if the opposing team ties the score or goes ahead after he has left the game.
Exception—If a relief pitcher conforms to the above regulations but pitches briefly and ineffectively, the scorer should not credit him with a win. If a succeeding relief pitcher pitches effectively and helps maintain the lead, the scorer should award the win to that succeeding pitcher.
2) If his team maintains the lead throughout the game, and more than one relief pitcher is used, the scorer shall award the win to the relief pitcher that pitches most effectively, regardless of the number of innings pitched.
3) By pre-arrangement, if three or more pitchers are to be used, the pitcher of record shall be considered the winning pitcher.
c. When a batter or runner is substituted for a pitcher, all runs scored by his team during that inning are to his credit in determining the pitcher of record.
d. The starting pitcher shall be charged with the loss if he is replaced at any time while his team is behind and remains behind for the remainder of the game. Similarly, any relief pitcher who is the pitcher of record when the opposing team assumes the lead and never relinquishes it is charged with the loss.
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Is this a translation, rotation, or reflection?
Answer:
rotation
Step-by-step explanation:
Math Math Math Math mTh
What’s the answer help!!! Help me please quick !!! I need help
Three students at a local community college ran for the position of Treasurer for the Student Government Association. The results of the election are shown below. Sherry Smith 36% Lakeisha Miller 29% Adrian Zargoza 31% If Sherry Smith received 600 votes, how many total votes were cast? Round your answer to the nearest whole number
Using proportions, it is found that 1,667 total votes were cast.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
Sherry Smith received 36% of the votes, which is equivalent to 600 votes, hence:
0.36x = 600
x = 600/0.36
x = 1,667.
1,667 total votes were cast.
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38) State the slope of a line parallel to 3x - 5y = 25
Answer: y= 3/5x-5
slope is 3/5
Step-by-step explanation:
Step-by-step explanation: I hope this helps.
Answer:
tomas makes balloon sculptures at6 a circus im 180 minutes he uses 252 balloons to make 36 identical sculptures what is tomam's unit rate for balloons per minute
By taking a quotient, we can see that while he works, he uses 1.4 ballons per minute to make scultures, so the unit rate is 1.4 balloons/minute.
What is Tomas' unit rate for balloons per minute?
The unit rate refers to the quotient between two quantities, if we want to find the rate for ballons per minute, we need to take the quotient between the number of ballons that he uses and the total time in which he does that. The unit rate will tell us how many ballons he uses per minute
Here we know that he uses a total of 252 balloons, and he does that in a total time of 180 minutes, then the unit rate is just the quotient:
R = (252 ballons)/( 180 min)= 1.4 ballons/minute
This means that while he works, he uses 1.4 balloons per minute to make sculptures, so the unit rate is 1.4 balloons/minute.
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1. What Can You Say About The Sign Of Two Numbers If Their Product Is Positive?
2. What Can You Say About The Sign Of Two Numbers Is Their Quotient Negative?
3. If You Have The Product Of Four Number One is Positive And Three Are Negative, What Will The Sign Of The Product Be?
all them correct right
the ratio of 25cm to 3m
what is the ratio
First change m to cm
1m = 100cm
3m = 300cm
25cm to 300cm
1cm to 12cm
Find the product. (x+5)(x+2)
Answer:
[tex]x^2 + 7x + 10[/tex]
Step-by-step explanation:
Use distributive property: (x+5)(x+2) = x^2 + 5x + 2x + 10
Combine like terms: x^2 + 7x + 10
Hope this helps :)
Have a nice day!
Answer:
[tex]x^{2} +7x+10[/tex]
Step-by-step explanation:
(x+5)(x+2)
x(x+2)+5(x+2)
x^2+2x+5(x+2)
x^2+2x+5(x+2)
x^2+2x+5x+10
x^2+7x+10
A group of 50 students were asked about their favorite color. Here are the results:
Red: 15 Blue: 11 Purple: 7 Yellow: 8 Pink: 6 Green: 3
Which of the following visual displays is most appropriate for this data?
Box plot
Histogram
Stem plot
Dot plot
Pie Chart
make S subject formula
[tex]t \: = 2p(s \div k)[/tex]
The S subject formula of the given expression will be given as s = tk/2p.
In order to find the S subject formula, we have to make the equation equal to s. This can be done by first making the equation in mathematical form and then taking s on one side and the other terms on the other side.
The equation given in the question is t = 2p (s ÷ k) which can also be written as t = 2p (s/k). Now, in order to make the s formula of the given expression we first cross multiply k on the left-hand side.
tk = 2p (s)
Now, we divide the expression 2p on the left-hand side.
tk/2p = s
=> s = tk/2p
This expression gives us the S formula.
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The toasters produced by a company have a normally distributed life span with a mean of 5.8 years and a standard deviation of 0.9 years, the company is willing to have a warranty that replaces at most 5% of their toasters sold. What is the longest a blender can last and still be in the lowest 5% of life spans?
4.6 years
7.3 years
4.3 years
5.9 years
The longest a blender can last and still be in the lowest 5% of life spans will be 4.6 years. The correct option is A.
What is a normal distribution?The z-score formula can be used to resolve issues with samples that have a normal distribution. The score of a measure X in a collection with mean and standard deviation is given by:
Z = ( X - μ ) / σ
The Z-score calculates the deviation of the measure from the mean in standard deviations. We glance at the z-score table after determining the Z-score to determine the p-value connected to it.
The likelihood that the measure's value is less than X, or the percentile of X, is represented by this p-value. The likelihood that the value of the measure is greater than X is obtained by deducting 1 from the value.
In this problem, we have that:
μ = 5.8, σ = 0.9
Only those on the 5th percentile or lower will be replaced. So the warranty is the value of X when Z has a value of 0.05.
The value of x will be:-
Z = ( X - μ ) / σ
-1.28 = ( X - 5.8 ) / 0.9
X = 4.6
Therefore, the longest a blender can last and still be in the lowest 5% of life spans will be 4.6 years. The correct option is A.
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The table shows the linear relationship between the playing time in minutes of high-definition videos and the file size of these videos in megabytes (MB) What is the rate of change of this function?
180
60
120
30
The rate of change of the linear relationship that between the playing time and the file size is: C. 120.
What is a Linear Function?A linear function can be described as a function whose graph is represented as a straight line graph on a coordinate plane with all its points plotted on the graph.
A linear function is modelled by the equation which is expressed in slope-intercept form as .f(x) = mx + b.
The "m" in the equation represents the rate of change of the function, which can also be called the slope of the graph while "b" represents the y-intercept where the line intercepts or crosses the y-axis.
What is the Rate of Change of a Function?The rate of change of a linear function = the slope = change in y / change in x.
Use two pairs of values from the table to find the rate of change, say, (2, 240) and (5, 600):
Rate of change (m) = (600 - 240) / (5 - 2)
Rate of change (m) = (360) / (3)
Rate of change (m) = 120
Therefore, the rate of change of the linear relationship that between the playing time and the file size is: C. 120.
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Answer:
120
Step-by-step explanation: when i took the test it was right
A car and a truck follow the same route on a pair of round-trip deliveries. The function c(x) = -72 ∣ x - 5 | + 360 represents the distance (in miles) of the car from the starting point after x hours. The truck’s distance from the starting point is shown in the graph
Which vehicle takes longer to complete the delivery? How much longer? Justify your answers.
The truck takes a time of 1 longer to complete the delivery than that of the vehicle.
How to interpret Linear Functions?We are given the function that represents the distance (in miles) of the car from the starting point after x hours as;
C(x) = -72|x - 5| + 360
Now, at a time of x = 5 hours, the distance covered by the car is;
C(5) = -72|5 - 5| + 360
C(5) = 0 + 360
C(5) = 360 miles
Thus, the car covers a distance of 360 miles in 5 hours
Now, from the given graph that represents the truck’s distance from the starting point, we see that after 6 hours, it has covered 360 miles. Thus, we say that the truck covers 360 miles in 6 hours.
Thus, the truck takes 1 longer to complete the delivery than that of the vehicle.
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If the number of different activities is represented by four consecutive odd integers what is the algebraic expression that represents the total number of activities they had to choose from in one day
The four consecutive odd integers are: 51 , 53 , 55 and 57.
An algebraic expression (or) a variable expression is a combination of terms by the operations such as,
addition, subtraction, multiplication, division, etc.
For example, let us have a look at the expression 5x + 7. Thus, we can say that 5x + 7 is an example of an algebraic expression.
Types of algebraic expressions may further be distinguished in the following five categories. monomial, polynomial, binomial, .trinomial. multinomial.
the expression: 3/4x + y/2 (4x + 7) By using the distributive property, the given expression can be written as,
3/4x + y/2 (4x) + y/2 (7).
Simplifying an expression is just another way to say solving a math problem. When you simplify an expression, you're basically trying to write it in the simplest way possible. At the end, there shouldn't be any more adding, subtracting, multiplying, or dividing left to do. For example, take this expression: 4 + 6 + 5.The sum of 4 consecutive odd integers is 336, how do you find the largest integer? because odd consecutive integers differ from each other by 4. Value of x can be determined by adding up assumed terms and equating it with 336.
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How do you do the following problem:
f(6)= square root of 6
The answer for the given function f(6)= square root of 6 is 2.449 approx.
Given :
f(6) = square root of 6
Function :A function relates an input to an output. In simple word it is a relation between a set of inputs having one output each.
"f(x) = ... " is the classic way of writing a function.
f(6) = √6
To determine the f(6) = √6 we will solve the square root of 6.
So, the value of √6 will be 2.449 approx.
Then,
f(6) = √6
f(6) = 2.449
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A borrower has two alternatives for a loan: (a) issue a $480,000, 60-day, 8% note or (b) issue a $480,000, 60-day note that the creditor discounts at 8%. (Assume a 360-day year is used for interest calculations.)
1) The determination of the amount of the interest expense in each alternative is as follows:
Alternative A: $6,400
Alternative B: $6,356.82
2) The determination of the proceeds received by the borrower in each alternative, based on their present values, is as follows:
Alternative A: $480,000
Alternative B: $473,643.18
Data and Calculations:Alternative A Alternative B
Note Payable $480,000 $480,000
Maturity period 60 days 60 days
Interest /Discount rate 8% 8%
Calendar Year = 360 days
The amount received $480,000 $473,643.18 (PV)
Interest paid $6,400 $6,356.82
Alternative A:Interest = $6,400 ($480,000 x 8% x 60/360)
Present Value for Alternative B:N (# of periods) = 60 days
I/Y (Interest per year) = 8%
PMT (Periodic Payment) = $0
FV (Future Value) = $480,000
Results:
PV = $473,643.18
Total Interest $6,356.82
Thus, the borrower received $480,000 using alternative A and $473,643.18 with alternative B based on the present value of the future cash flow.
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Question Completion:1) Determine the amount of the interest expense in each alternative.
2) Determine the proceeds received by the borrower in each alternative.
Write the expression as a number in scientific notation.
quantity 8 times 10 squared end quantity times quantity 3.2 times 10 to the fifth power end quantity all divided by the quantity 4 times 10 cubed
The expression written in the simplest scientific notation is 6. 4 × 10^4
What is scientific notation?
Scientific notation can be defined as a mathematical method of presenting numbers or figures too large or small in simpler forms.
It is also termed index form or standard form
From the information given, we have that;
8 times 10 squared = 8 × 10²3.2 times 10 to the fifth power = 3. 2 × 10^54 times 10 cubed = 4 × 10³Now, substitute the values
8 × 10² × 3. 2 × 10^5 / 4 × 10³
Using the rule of exponent, we have;
25. 6 × 10^2 + 5/ 4 × 10³
25. 6 × 10^7/ 4 × 10³
Divide the numbers, we have
6. 4
Take the inverse power of the denominator
6. 4 × 10^ 7 - 3
6. 4 × 10^4
Thus, the expression written in the simplest scientific notation is 6. 4 × 10^4
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What is £105.035 rounded to the nearest whole penny?
Answer:
£105.04
Step-by-step explanation:
To round an amount to the nearest cent, check the value of its thousandths. If the value is equal to 5 or greater, increase the value in the cent’s place by 1 and then remove all digits to the right after the second decimal place. If the value is equal to 4 or less, simply remove all the digits to the right after the second decimal place. For example with £105.035 the thousandths’ value is 5, so we round up: £105.035 --> £105.04
Esta semana ,laura trabajo 40 horas de tiempo regular y 3 horas adicionales. si ella percibe $12.00por horas regular y una vez y media esa cantidad por hora adicionales cuantos dinero obtuvo laura esta semana
The amount that Laura will earn for the week based on the information is $534.
How to illustrate the information?Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
As an illustration, the phrase x + y is one where x and y are terms with an addition operator in between. There are two sorts of expressions in mathematics: numerical expressions, which only contain numbers, and algebraic expressions, which also include variables.
In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.
A symbol without a set value is referred to as a variable.
A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.
In an expression, a coefficient is a number that is multiplied by a variable.
It should be noted that Laura works 40 regular hours and 3 hours overtime.
Therefore, the amount that she earns will be:
= (40 × $12) + (3 × $18)
= $480 + $54
= $534
The amount that she earns is $534.
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What is the solution set of {x | x > -5} u {x | x < 5}?
A) all numbers except -5 and 5
B) the numbers between -5 and 5
C) the empty set
D) all real numbers
On solving the inequalities The solution for this is option D
(D)All real numbers
For this case we must find the solution set of the following inequalities:
The solution is given by all values of x greater than -5.
The solution is given by all values of x greater than -5.
This is the union of both the inequalities a hence all the real numbers will justify the inequalities.
Then, the solution set is given by all real numbers.
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3. Estimate the value of -√90 to the nearest integer. (1 point)
A. 3
B. -5
C. 7
D. -9
4. Wei-Min makes a square quilt that has an area of 100 square inches. It has 25 square blocks,
each the same size. What is the length of each side of a block?
A. 2 inches
B. 4 inches
C. 6 inches
D. 10 inches
(1 point)
After using 25 square block, a quilt has been prepared by Wei-Min that has an area of 100 square inches. The length of each side of a block is 2 inches by calculating using concept of mensuration.
As per the question statement, Wei-Min makes a square quilt that has an area of 100 square inches and has got 25 square blocks, each the same size. We are supposed to find the length of each side of a block.
Using concept of mensuration,
Area of square quilt = 100 square inches
Number of block used = 25 square blocks
Therefore, area of each block = 100/25 = 4 square inches
As the block is a square, so each side will be equal in length.
Let's assume each side of square be "x" inches
Therefore x^2 = 4
or x = √4
or x = 2 inches
Mensuration: In the field of mathematics known as measurement, length, volume, shape, surface area, and other properties are measured for 2D and 3D objects. In other terms, it is the method of measuring based on mathematical formulas and algebraic equations.To learn more about Mensuration, click on the link given below:
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A company has 14 offices that need new carpeting. Each office
measures 22 feet by 17 feet. How much carpeting does the
company need?
HELP ME PLS If f(x) = 4x+1, find
f(a+h)-f(a)/h
Answer:
it's called the difference quotient of a function
Step-by-step explanation:
f(x+h)-f(x)/h is the slope of the secant line of a function
A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $70. A season ski pass cost$450. The skier would have to rent skis with either pass $30 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily basis
The skier have to go for 7 days skiing in order to make the season pass less expensive than the daily basis.
Cost of daily pass = $70
Cost of season ski pass = $450
Let the cost of skiing per day = 'x'
Now we will equate the season pass plus ski rentals to daily skiing plus ski rentals :
450 + 30x = 70x + 30x
We have 30x on both sides, so those can cancel out easily :
Then we get,
450 = 70x
Dividing both sides by 70 :
x = 6.42
We can't pay for a partial day, so the skier will have to ski for at least 7 days to make the season pass cheaper than getting daily passes.
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If Curtis needs 18 gallons of green paint in all, how many gallons of yellow paint will he need to keep the ratio of colors the Curtis is mixing paint to make a certain shade of green to paint props for the school play. The table shows how much of each color he mixes to get the shade he needs?
Answer:
Step-by-step explanation:
Answer:
the table shows how much of each
Step-by-step explanation:
. Mike is putting up a fence in the backyard. The fence comes in sections that are 4 2/3
feet long. If the yard is 34 feet long, how many sections will he need to buy?
Answer:
[tex]7\frac{2}{7}[/tex] sections of fence
Step-by-step explanation:
since we are trying to find how many sections we need and we are given the total length of the yard and the length of each section of the fence, we are going to divide.
you want to divide the 34 yards into the 4 2/3 feet. to make this easier, we can turn 4 [tex]\frac{2}{3}[/tex] into a mixed number. to do this we multiply the 4 by the denominator which is the number on the bottom and add it to the numerator which is the number at the top.
4x3=12
12+2 = 14
[tex]\frac{14}{3}[/tex]
[tex]\frac{34}{1}[/tex] ÷[tex]\frac{14}{3}[/tex]
to divide fractions we multiply by the reciprocal which would be
[tex]\frac{34}{1}[/tex]×[tex]\frac{3}{14}[/tex]
now we just multiply across
34x3= 102
1x14=14
[tex]\frac{102}{14}[/tex]
now the furthest we can simplify this is by dividing the whole thing by 2
51/7
now we turn this back into an improper fraction
we get [tex]7\frac{2}{7}[/tex]
you will need to buy [tex]7\frac{2}{7}\\[/tex] sections of fence
Solve for j.
j+ 14
6
=4
Submit
YesAnswer:
Step-by-step explanation:
yeah
Answer:
Step-by-step explanation:
j+146=4 the proper way t solve this is DCVS
1 DISTRIBUTE
2COMBINE
3VARIABLES ON side constants on another
4 Solve
1st things first J+146-146=4-146
so the answer is j= -142 hope you enjoyed please give me brainliesttt thank you