EXPLANATION
Given the operation 18(54)+72(929), by applying the distributive property:
= 972 + 66,888
Adding numbers:
= 67,860
The solution is 67,860
Please help thanks so much
Answer:y=3x+11
Step-by-step explanation:
Use the points to calculate the slope. You would use the equation [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] to get a slope of [tex]\frac{12}{4}[/tex]. That can be simplified to a slope of 3. Now find the y intercept. Now use the point (-1,8) to figure out what it would be when x=0. Everytime you add 1 to x it goes up by 3 so the point would be (0,11) and the y intercept would be 11.
Factor the Expression: 6x +33
Answer:
3
Step-by-step explanation:
23
The scale of a map is 2.3 km = 78 km
Map : 3.4 km
Actual : ___ km
Please help!
IncomeFedEx Corporation (FDX) had the following revenue and expense account balances (in millions) for a recent year ending May 31:$2,6312,3992,108Depreciation ExpenseFuel ExpenseMaintenance and Repairs ExpenseOther Expense (Income) NetProvision for Income TaxesPurchased TransportationRentals and Landing Fees9,0869209,9662,854Revenues50,36518,581Salaries and Employee Benefits
First write, rearrange data
Balance = $2,631
Depreciation = 2,399
Fuel = 2,108
A pair of wireless headphones costs $125. Your friend has $40 and plans to save $15 each
month.
a. Write an inequality to show how many months your friend will need to save in order to
purchase the headphones.
5. Solve and graph the inequality.
The friend has to save for 5 and 2/3 of a month to in order to make up the remaining 85 to get the 125 headphone.
What is meant inequality graph?An inequality that consists of two or more parts is called a compound inequality. Either "or" or "and" may be used in these components. A number between 5 and 10 could be used as x in an inequality, for instance, if it states that "x is larger than 5 and less than 10". Any time one of the two inequalities is true when the two inequalities are united by the word or, the compound inequality is solved. The two separate solutions have been combined to form the final answer. Inequalities that are separated by "and" or "or" form a compound inequality. The intersection of the inequality graphs is shown by the graph of a compound inequality with a "and."
Cost of the headphone 125.
What the friend have: 40.
What need to save: 125-40 = 85
Let x = amount to be saved per month
Months to save up the 85 is 15
The equation would be 15 x = 85
Therefore x = 85/15
Which is 5 2/3 months.
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What is the image of the point (-1, 3) after a rotation of 270° counterclockwise
about the origin?
The image of the point (1,3) after a counterclockwise rotation of 270° is (3, -1).
What is rotation?Every point in a figure is transformed by a rotation, which rotates each point a predetermined amount of degrees around another point.
Given that : coordinate point is (1, 3)
When rotating a figure 270 degrees counterclockwise, each point must be changed from (x, y) to (y, -x) before the rotated figure may be graphed.
So, points (1,3) changed to (3, -1).
As a result, the image of the point (1,3) following a 270° counterclockwise revolution is (3, -1).
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Help me! im not sure what to do!
The frequency of the heights are:
a = 15
b = 20
c = 40
d = 15
Histogram :
A histogram is a visual representation of statistical data that makes use of rectangles to illustrate the frequency of data points over a range of successive numerical intervals of equal width. The independent variable and dependent variable are plotted along the horizontal axis and the vertical axis, respectively, in the most typical type of histogram.
A common tool for graphing is the histogram. It is employed to summarise continuous or discrete data that is measured on an interval scale. It is frequently used to provide a convenient manner of illustration for the main characteristics of the data distribution.
Now Calculating the frequency by studying the given histogram.
By studying the given histogram, 1 division of the x-axis = 0.5
For height, [tex]0\leq h\leq 50[/tex], the histogram reaches up to 30 divisions which indicates that the frequency is 15.
For height,[tex]50\leq h\leq 75[/tex], the histogram reaches up to 40 divisions which indicate that the frequency is 20.
For height, [tex]75\leq h\leq 100[/tex], the histogram reaches up to 80 divisions which means the frequency is 40.
For height,[tex]100\leq h\leq 150[/tex], the histogram reaches up to 30 divisions which indicate that the frequency is 15
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Are f(x)= 1/2x - 2 and g(x)= -2x -4 inverses of each other
The function f(x)= 1/2x - 2 and g(x)= -2x -4 are not inverses of each other.
What is an inverse function?An inverse function can be described as the function that can undo another function, it is relationship between two function which is not directly proportional to each other.
An inverse function will follow the expression f^{-1},
Inverse of 1(/2x - 2 ) = (2x - 2 )
Inverse of g(x)= (-2x -4) = 1/ (-2x -4)
This implies implies that Inverse of g(x) ≠ f(x)
Therefore, the function of f(x)= 1/2x - 2 and g(x)= -2x -4 can not be regarded as inverse of each other.
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PLEASE HELP ME QUICKK
75 degrees
All triangle angles will always add up to 180 degrees, so if A is 64 and B is 40, add those for 105. 180 minus 105 is 75. Therefore, C is 75.
Answers:
1st page
Angle A=65 degrees
Angle B=40 degrees
Angle C = 75
65+40+x=180 degrees
105+x=180degrees
x=180-105
x=75 degrees
2nd page
Angle A=59 degrees
Angle B=48 degrees
Angle C=73 degrees
To find x
x+x-11+73=180 degrees
2x+62=180 degrees
2x=180-62
2x=118
(equate both sides)
x=59 degrees
3rd page
Angle A=35 degrees
Angle B=100 degrees
Angle C=45 degrees
To find x
x+35+45=180 degrees
80+x=180degrees
x=180-80
x=100 degrees
4th page
Angle A=45 degrees
Angle B=110 degrees
Angle C=25 degrees
To find X
x+x+65+25=180 degrees
2x+90=180
2x=180-90
2x=90
(equate both sides)
x=45 degrees
5th page
Angle A=48 degrees
Angle B= 88 degrees
Angle C= 44 degrees
To find X
48+x+x-44=180 degrees
4+2x=180 degrees
2x=180-4
2x=176
(equate both sides)
x= 88 degrees
The population of a city increases by 0.8% per year. if this year's population is 101,000, what will next year's population be, to the nearest individual?
The population of the city till next year will be 101,808.
Given, a population of a city increases by 0.8% per year.
Presently the population of the city is = 101,000
Next year's population will be = ?
population increases by 0.8% per year = 1+0.8%
Hence the expression can be written as:
present population of city × population increases by 0.8% per year
= 101,000 × (1+0.8%)
= 101,000 × (1+0.008)
= 101,000 × (1.008)
multiply the terms.
=101808
Hence when the population of the city increases by 0.8% per year, then next year's population will be 101,808.
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A rectangle has length 4ab cm and width 6a² cm. Write a simplified expression for the area of the rectangle. 4ab cm 6q² cm
A baker's dozen (13) of cupcakes is sold for
$10.14. At this rate, how much does one cupcake
cost?
Answer:
0.78
Step-by-step explanation:
if divide 10.14 by 13 it will be 0.78 hope this helps
What is the product?
(3a^2b^7)(5a^3b^8)
===================================================
Explanation:
The coefficients of each term are 3 and 5. They are the first things mentioned in each parenthesis grouping. The coefficients multiply to 3*5 = 15. This is the coefficient of the final answer.
The 'a' terms are a^2 and a^3. They multiply to a^2*a^3 = a^(2+3) = a^5. Add the exponents because we're using the rule a^b*a^c = a^(b+c). The base must be the same for this rule to apply.
The b terms are b^7 and b^8. They multiply to b^7*b^8 = b^(7+8) = b^15
--------
To summarize
The coefficients multiply to 15. The 'a' terms multiply to a^5 The b terms multiply to b^15This is how we end up with 15a^5b^15 as the final answer
Edgar us using computer graphics to build the background images for a new animated film. He is using linear modeling, the process of using linear equations to describe real-world objects. Edgar had identified the functions needed to build an image in the graphics program.
A field of mathematics called linear equations is essential to computer graphics. It investigates matrices, linear transformations, and vectors. These subjects were covered in Subsection 2.3. 8 in a two-dimensional setting.
What is a linear model?A continuous response variable is described by a linear model as a function of one or more predictor variables. They can assist you in analyzing experimental, monetary, and biological data or in understanding and predicting the behavior of complex systems. A statistical technique used to build a linear model is called linear regression.
Depending on the context, the phrase "linear model" is used differently in statistics. The word is frequently used interchangeably with a linear regression model since it occurs most frequently in relation to regression models. The phrase has a different connotation when employed in time series analysis, though.
By using a linear combination of predictor variables, linear models can be used to describe a response variable. A continuous variable with a response that is at the very least roughly regularly distributed is required.
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100PT AND BRAINLIEST! Write a complete two-column proof for the following information.
Given: m∠1 = 62° and lines t and l intersect
Prove: m∠4 = 62°
I would greatly appreciate if every step were labeled with the property used, e.g. "subtraction property of equality," etc. Thanks in advance for any help you can give!
Answer:
Since Lines t and l are straight lines and are intersecting, Angle 1 and 4 are vertically opposite angles.
Angle 1 = Angle 4 (vertically opposite angles)
Angle 1 = 62 degrees
Therefore Angle 4 = 62 degrees
Step-by-step explanation:
What is the number for x??
In an endurance race Philip ran 3 3/4 hours at an average speed of 9 3/5 mph how far did he run 
Answer:
31 1/5 miles.
SOMEONE PLEASE HELP ME!!! PLEASE!!!!
Quadrilateral KLMN has points K(-1,1) , L(3,4) , M(6,0) , and N(2, -3)
Use the distance formula to find the side lengths of quadrilateral KLMN.
Use the slope formula to find and compare the slopes of quadrilateral KLMN.
Use the Properties of Shapes to identify what kind of quadrilateral KLMN must be
d=(x2−x1)2+(y2−y1)2
One pair of opposite sides are: KL and NM
KL=(4−−2)2+(6−3)2=45−−√=35–√
NM=(3−−3)2+(2−−1)2=45−−√=35–√
Using the substitution property KL=NM
The other pair is: KN and LM
KN=(−3−−2)2+(−1−3)2=17−−√
LM=(4−3)2+(6−2)2=17−−√
Using the substitution property KN=LM
Step-by-step explanation:
KN=(−3−−2)2+(−1−3)2=17−−√
LM=(4−3)2+(6−2)2=17−−√
need help with this pleaseee!!
The coordinate of B is option C (0,-2). A spherical or elliptical coordinate system known as the geographic coordinate system is used to measure and transmit positions on Earth as latitude and longitude. Of the several spatial reference systems in use, it is the most basic, traditional, and often utilized. It also serves as the foundation for the majority of others.
What is coordinates?Coordinates are numerical lengths or angles that uniquely identify locations on two-dimensional (2D) surfaces or in three-dimensional (3D) space. Mathematicses, scientists, and engineers frequently employ a variety of coordinate systems.
A coordinate system in geometry is a method for determining the location of points or other geometric objects on a manifold, such as Euclidean space, uniquely using one or more numbers, or coordinates.
the coordinates of B(-5,0)
the translation rule
(x,y)---------(x+5,y-2)
so
B(-5,0)-----B(-5+5,0-2)
(-5,0)--------(-5+5,0-2)----------(0,-2)
Hence, the correct answer is (0,-2)
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Which statements must be true about two similar figures? Select all that apply.
Group of answer choices
-The ratio of the corresponding angles equals 1.
-One triangle can be mapped onto the other triangles through a sequence of transformations.
-The ratios of corresponding side lengths are equal.
-The two triangles share a common side.
-The two triangles have exactly one pair of corresponding angles.
The statements that are true concerning two similar figures include:
The ratio of the corresponding angles equals 1.
The ratio of corresponding side lengths are equal. That is option A and C.
What is ratio?Ratio is defined as the number of time a proportion is doing in another proportion.
The similarity that exists between figures or shapes such as a triangle is being proven using Congruence & Similarity. That is,
To say that figures are similar, they must be congruent that is similar when superimposed.All the angle of their sides must also be equal and identical. There the ratio of the angel = 1.The sides of the figure must be proportional.Learn more about angles here:
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Aaden signed up for a streaming music service where there's a fixed cost for monthly membership and a cost per song downloaded. His total cost per month is given by the equation c=2.99+1.75xc=2.99+1.75x, where xx represents the number of songs he downloads and cc represents the total cost, in dollars and cents. What could the number 2.99 represent in the equation?
Answer:
2.99 is the fixed monthly membership fee
Step-by-step explanation:
Ali takes out a loan to pay for a new sound system. The sound system costs
R7 700 and interest on the loan is 11 % simple interest per year.
If Ali repays the loan in a lump sum after 3 years, how much must he pay?
Using Simple Interest, Ali has to pay 10241 after 3 years.
What is simple interest?Simple interest is the interest that is accrued at a specific rate and for a specific length of time on a particular principal. It is based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued. Consider making a $100 (the principal) investment at a 5% yearly rate for a year. To calculate simple interest, multiply $100 by.05 interest per year to get $5 after a year.
If P is the principal, r is the rate, t is the time
SI = [tex]\frac{P \times r \times t}{100}[/tex]
Here,
Cost of sound system = 7700
Rate = 11 %
Time = 3years
SI = [tex]\frac{7700 \times 11 \times 3}{100}[/tex]
= 2541
Amount Ali has to pay after 3 year = 7700 + 2541
= 10241
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HELP ASAP!
Explain how you would compare these two decimal numbers. Solve the problem.
4.246 _____ 4. 259
I know how to do this but I don't know HOW to explain... please explain it to me!!!! 100 points!!!!!
Answer:
4.259 is greater than 4.246 because its decimal places are higher values.
4.246 < 4.259
Hope that helps
to compare these two decimals we will have to compare the number in the hundredths and thousandths place becuase we already know the whole number and the tenths place number is the same. as you can see, 4.259 is greater becuase 5 tenths is greater than 4 tenths.
Chase filled up his car with gas before embarking on a road trip across the country.
The car uses 1.25 gallons of gas for every hour driven and the capacity of the gas tank
is 15 gallons. Make a table of values and then write an equation for G, in terms of t,
representing the number of gallons of gas remaining in Chase's gas tank after t hours
of driving.
Answer:
0-->15
1--->13.75
2--->12.5
3--->11.25
Step-by-step explanation:
question 9 (10 points)
HELP ME PLEASE AND THANK U
Find the slope if it exist of the line containing the pair of points
(5,-10) and (-3,-10)
The slope m=
The slope of the line containing the pair of points (5,-10) and (-3,-10) = m = 0.
Slope of a line
In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate. The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx.
Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
Given that the line containing the pair of points (5,-10) and (-3,-10).
Slope of a line = (y2 - y1)/ (x2 - x1)
Here
y1 = -10
x1 = 5
y2 = -10
x2 = -3
Therefore slope of a line = m = [-10 - (-10)]/ (-3 - 5)
= 0/ (-8)
= 0
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A fish tank has 150 gallons of water and is being drained at a rate of 1/2 gallon each second. A second fish tank has 120 gallons of water and is being filled at a rate of 1/4 gallon each second. After how many seconds will the two fish tanks have the same amount of water?
Answer: 40 seconds
Step-by-step explanation:
This is basically a very simple algebra problem.
Let x be the number of seconds it takes for the statement to be true
120 + x/4 = 150 - x/2
Add x/2 to both sides:
120 + 3x/4 = 150
Subtract 120 from both sides:
3x/4 = 30
Therefore x = 40.
Solve similar problems with an equation, where the variable is the thing you need to find.
Students on the soccer team and the rugby team at several high schools were surveyed to choose a vacation location: Aspen, Colorado, or New York, NewYork.
Which location would you most like to visit?
What is the joint frequency of soccer team students who would most like to visit New York?
•27
•35
•53
•62
Five mi is approximately equal to 8 km. Use mental math to estimate
the distance in kilometers to a town that is 30 mi away.
Using the conversion factor, we know that 30 miles are approximately 48 km.
What is the conversion factor?A conversion factor is a number that is used to multiply or divide one set of units into another. If a conversion is required, it must be done using the correct conversion factor to get an equal value. For instance, 12 inches equals one foot when converting between inches and feet.So, 30 miles is how many kilometers:
We know that 1 mile = 1.60934 kmThen, 5 miles:
1.60934 × 5 = 8.04672 kmSimilarly 30 miles:
1.60934 × 30 = 48.2803Rounding off: 48 km approximately
Therefore, using the conversion factor, we know that 30 miles are approximately 48 km.
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AB and CD lie in plane Z. If EF bisects either AB CD or, does EF lie in plane Z? If EF bisects both AB and CD, does EF lie in plane Z? Explain
your reasoning.
Answer:
If a b and c d lie in plane, z, so my screen is a plane, so let's just think of that here's a b! Now I didn't say they were parallel. It just said a b and c d, so they lie in a plane.
Step-by-step explanation:
I just did this on edge