Answer:
66 77498474848484487474847
Answer:
\( \frac{y - ( - 2)}{x - ( - 5)} = - 4 \\ y + 2 = - 4x - 20 \\ \boxed{y = - 4x - 22} \\ \frac{y - 2}{x - 1} = - 3 \\ y - 2 = - 3x + 3 \\ \boxed{y = - 3x + 5} \\ \frac{y - 2}{x - ( - 1)} = - 2 \\ y - 2 = - 2x - 2 \\\boxed{ y = - 2x}\)
(c) What is the value of p if 4x² + 20x + p is a
perfect square
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\(( {a + b})^{2} = {a}^{2} + 2ab + {b}^{2} \)
_________________________________
\(4 {x}^{2} + 20x + p = \)
\(( {2x})^{2} + 2(2x)(5) + p = \)
Thus ;
\(p = {5}^{2} \)
So
\(p = 25\)
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What are the prime factors of 625?
A. 1,5,5.5.5
B. 5 5.5.5
C. 25. 25
D. 5. 5. 25
Answer:
the answer would be b 5.5.5.5
Step-by-step explanation:
Stephen Simmons received a single payment loan for a loan for $6,200. he agreed to repay the loan and 160 days at an interest rate of 10% ordinary interest. What is the maturity value of his loan when he pays it back in 160 days. 
9514 1404 393
Answer:
$6475.56
Step-by-step explanation:
The maturity value is ...
A = P(1 +rt)
where P is the principal amount, r is the annual rate, and t is the number of years. For ordinary interest, a year is 360 days, so the number of years is 160/360 = 4/9.
The loan value is ...
A = $6200(1 + 0.10×4/9) ≈ $6475.56
Stephen's loan has a maturity value of $6,475.56.
The 2017 senior class from Glen Haven High School raised funds for an end of the year party at Club Cool. It costs $3,000 to rent out Club Cool plus $25 per student for food and drinks. Write an equation to model how many students can attend the end of year party if the senior class raised $12,000.
Answer:
12000 = 25x + 3000 is your equation
Answer:
12000=3,000+25x
Step-by-step explanation:
In the equation , c denotes consumption and i denotes income. What is the residual for the 5th observation if =$500 and =$475?
Residual for the 5th observation if =$500 and =$475 is -$166.25 The consumption function C = 300 + 0.75i represents the relationship between consumption and income in a simple economy with no taxes. In this function, C is the dependent variable, while i is the independent variable.
To find the residual for the 5th observation, we need to first calculate the predicted value of consumption (C1 ) for the given value of income (i). We can do this by plugging the value of i into the consumption function and solving for C1 :
C1 = 300 + 0.75i
For the first scenario where i = $500, the predicted value of consumption is:
C 1= 300 + 0.75($500) = $675
To calculate the residual, we need to subtract the predicted value of consumption from the actual value of consumption (C):
Residual = C - C1+
For the 5th observation where C = $500, the residual would be:
Residual = $500 - $675 = -$175
This means that the actual value of consumption is $175 less than the predicted value based on the consumption function.
Similarly, for the second scenario where i = $475, the predicted value of consumption would be:
C1 = 300 + 0.75($475) = $641.25
And the residual would be:
Residual = $475 - $641.25 = -$166.25
In both cases, the residuals are negative, indicating that actual consumption is less than predicted consumption. This could be due to factors such as unexpected changes in consumer behavior, fluctuations in the economy, or measurement errors in the data.
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The equation for a consumption function in a simple economy, where there are no taxes, is given by C = 300 + 0.75i, What is the residual for the 5th observation if =$500 and =$475?c denotes consumption and i denotes income.
example: a statistics class for engineers consists of 25 industrial, 10 mechanical, 10 electri- cal, and 8 civil engineering students. if a person is randomly selected by the instructor to answer a question, find the probability that the student chosen is an industrial engineer. let i: denote the event that an industrial engineer is selected. let c: denote the event that a civil engineer is selected. what is the probability that the student is a civil or electrical engineering student?
The probability that the student chosen is an industrial engineer is approximately 0.4717, and the probability that the student is a civil or electrical engineering student is approximately 0.3396.
The total number of students in the class is:
Total number of students = 25 + 10 + 10 + 8 = 53
The probability of selecting an industrial engineering student is:
P(i) = number of industrial engineering students / total number of students
= 25 / 53
≈ 0.4717
To find the probability that the student is a civil or electrical engineering student, we can use the formula:
P(c or e) = P(c) + P(e) - P(c and e)
We need to find the probability of selecting a civil engineering student (P(c)) and the probability of selecting an electrical engineering student (P(e)). Since the selection is random and there are no restrictions on the number of times a student can be selected, we can assume that these events are independent. Therefore:P(c) = number of civil engineering students / total number of students
= 8 / 53
≈ 0.1509
P(e) = number of electrical engineering students / total number of students
= 10 / 53
≈ 0.1887
To find the probability that both a civil and electrical engineering student is selected (P(c and e)), we need to know if any student belongs to both categories. If not, then P(c and e) = 0. If there are students who belong to both categories, we need to subtract the number of students who belong to both categories from the total number of civil and electrical engineering students to avoid double counting.Assuming there are no students who belong to both categories, we get:
P(c or e) = P(c) + P(e) - P(c and e)
= 0.1509 + 0.1887 - 0
≈ 0.3396
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Evaluate -2x+6y when x= -3 y=-1
Answer:
0
Step-by-step explanation:
Substitute x for -3 and y for -1:
= -2(-3) + 6(-1)
= 6 + -6 (or 6 - 6)
= 0
Find the value of x. Round to the nearest tenth.
Answer:
x = 11.8
Step-by-step explanation:
Side a = 11.78983
Side b = 3
Side c = 10
Angle ∠A = 120° = 2.0944 rad = 2/3π
Angle ∠B = 12.731° = 12°43'50" = 0.22219 rad
Angle ∠C = 47.269° = 47°16'10" = 0.82501 rad
The answer for x is 11.8
11. Martin's suitcase has a volume of 1,080 cubic inches. Lily's suitcase measures 9 inches wide, 13 inches long, and 21 inches high. What is the combined volume of the two suitcases?
Answer: 3,348 cubic inches
Step-by-step explanation:
1. Since we know that volume= length x width x height, then we can plug our values into this equation.
2. So, we would do volume= 9 x 12 x 21.
3. 9 x 12 = 108, and 108 x 21 =2,268.
4. Now that we have both of the volumes, we have to add them together.
5. 1,080 + 2,268 = 3,348
6. The combined volume is 3,348 cubic inches.
Amanda and her brother, Brian, are making chocolate milk. Amanda mixes 1 ounce of chocolate syrup and 6 ounces of milk in her cup. Brian mixes 2 ounces of chocolate syrup and 10 ounces of milk in his cup. Whose milk is more chocolaty?
Answer:
Brians milk is more chocolaty
Step-by-step explanation:
Between what values of X is there a slight decrease?
We roll two dice. Find the conditional probability that at least one of the numbers is even, given that the sum is 8.
Answer:
0.599 or 0.6
Step-by-step explanation:
We will be using the alphabets M and N in this solution.
Let M be that one of the number is even
Let N be that the sum is 8
The sample space of these two dice when rolled is 36
Probability of 8 and even numbers is (4,4),(6,2),(2,6)
= 3/36 = 0.08333
Probability of sum of 8 is (4,4),(5,3)(3,5),(6,2),(2,6)
= 5/36 = 0.1389
P(M|N) = 0.08333/0.1389
= 0.599
Approximately 0.6
Answer:
0.6
Step-by-step explanation:
A line passes through the point (-4, 7) and has a slope of -5/4
Write an equation in slope-intercept form for this line.
Answer:
\(y=-\frac{5}{4} x+2.\)
Step-by-step explanation:
1) slope-interception form is: y=s*x+i, where 's' and 'i' are slope and interception;
2) according to the condition s= -5/4, then the required equation is: y= -5/4 *x +i, where i - interception;
3) if to substitute (-4;7) into the required equation y= -5/4 *x +i, it is possible to calculate 'i':
7= -5/4*(-4)+i; ⇒i=2, then
\(4) \ finally, \ y=-\frac{5}{4}x+2.\)
13) A rectangular garden has an area of 45 square meters. The garden will be 4 meters longer than its width Write and sowe an equation to find the dimensions in meters.
Answer:
9m ×5m
Step-by-step explanation:
Area of a rectangle= length ×width
Let the width be W meters and the length be L meters.
2 equations can be written from the given information:
45= WL -----(1)
L= W +4 -----(2)
Substitute (2) into (1):
45= W(W +4)
Expand:
45= W² +4W
-45 on both sides:
W² +4W -45= 0
Factorise:
(W +9)(W -5)= 0
W+9=0 or W-5=0
W= -9 or W= 5
(reject)
Substitute W= 5 into (2):
L= 5 +4
L= 9
∴ The dimensions of the garden is 9m ×5m.
please help me with math i’ll give you brainlist
Answer: False
Step-by-step explanation:
25% of the data is between Q1 and the median.
3.) The ratio of dogs to cats at the animal shelter is 4:1. If there are a total of 85 dogs and cats
at the shelter, how many dogs are at the shelter?
Answer:
Step-by-step explanation:
The ratio of dogs to cats is
quantities relative to each other. There are two cats and one dog. This means there are twice as many cats as dogs, or half as many dogs as cats.
...
Equivalence.
cats : dogs
8 : 4
Answer:
d
Step-by-step explanation:
yes
The theater was full when the movie began. Seventy-six people left
before the movie ended. One hundred twenty-four people remained.
How many people were in the theater when it was full?
The number of people were 200 in the theater when it was full.
What is a theater?
In architecture, a theatre, usually spelled theatre, is a structure or area where a play can be conducted in front of spectators. The term comes from the Greek theatron, which means "a place of seeing." The actual performance usually takes place on a stage in a theatre.
Given that, the theater was full when the movie began.
76 people leave the theater before end the movie. At the end of the movie, there is 124 people left.
Apply algebraical operation that is addition to find the required answer.
Therefore, the number of people that was present at the beginning of the movie is (76 + 124) = 200.
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please help me i really need help please
Answer:
Savannah, GA
Step-by-step explanation:
I just looked it up.
Can anyone help me please
HELP PLEAES ASAP!!!!!
Volume is a three-dimensional scalar quantity. As per the Cavaleri's principle the volume of both the figures will be the same.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
What is Cavaleri's principle?According to Cavalieri's principle, if two figures have the same height and cross-sectional area throughout each point along that height, they have the same volume.
The height of both the objects is 16 cm, also the base area of both the objects is 96 cm². As it can be observed that for both the object there base area is the same through out their height.
Hence, as per the Cavaleri's principle the volume of both the figures will be the same.
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What is the period of the following periodic function? to 3 decimal places
y= .5csc(x+9)-6
Model the data in the table with a linear equation
in slope-intercept form. Then tell what the slope and y-intercept
represent.
Write the linear equation in slope-intercept form.
y =
(Use integers or decimals for any numbers in the expression.)
Time Worked, Wages Earned
x (h)
1
3
6
9
y (S)
8.00
24.00
48.00
72.00
The data in the table can be modeled by this linear equation in slope-intercept form: y = 8x - 5.
The slope is 8, which means the wages earned increases at rate of 8 dollars per hour as the time increases.
The y-intercept is -5 and it represent the initial wages earned.
How to determine an equation of this line?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is represented by this mathematical expression;
y = mx + c
Where:
m represent the gradient, slope, or rate of change.x and y represent the data points.c represent the vertical intercept.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (24.00 - 8.00)/(3 - 1)
Slope (m) = 16.00/2
Slope (m) = 8
At data point (1, 3), a linear equation in slope-intercept form for this line can be calculated as follows:
y - y₁ = m(x - x₁)
y - 3 = 8(x - 1)
y = 8x - 8 + 3
y = 8x - 5
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I need help please!:D
Answer:
30
Step-by-step explanation:
Answer: It would be 30
Step-by-step explanation: When you divide 8 by 240, you get 30, divide the inside of the bar by the outside for questions like these, 240/8.
The mean age at which the population of babies first stand without support is normally distributed with a mean of 13.20 months with a standard deviation of 2.00 months. What is the probability of randomly selecting a sample of 25 children who stood on their own by the average age of 12.2 months or earlier
Answer:
0.00621
Step-by-step explanation:
We solve the above question using the
Z score formula. This is given as:
z = (x-μ)/σ/√n
where
x is the raw score = 12.20 or earlier
This means x ≤ 12.20
μ is the population mean = 13.20
σ is the population standard deviation = 2
n is the random number of samples = 25
z = 12.2 - 13.2/2/√25
z = -1/2/5
z = -1/0.4
z = -2.5
Probability value from Z-Table:
P(x≤ 12.2) = 0.0062097
Approximately = 0.00621
Therefore, the probability of randomly selecting a sample of 25 children who stood on their own by the average age of 12.2 months or earlier is 0.00621
5. SPIDERMAN - THE MOVIE Start 7:45 pm End 9:15 pm How long is the Spiderman movie? Answer
Answer:
an hour and thirty minutes
Answer
an hour and 30 minutes
Step-by-step explanation:
because it starts at 7:45 so you count until 9:15
Which of these would not produce a representative sample that determines the favorite
sport of the students at the local high school?
Answer:
1 the first one
Step-by-step explanation: its biased as you are asking people wearing football jerseys, hinting that they like football.
Please help!!
I need to solve for X
Answer:
\( \frac{7x - 11}{20} = \frac{4x - 2}{15} \)
\(15(7x - 11) = 20(4x - 2)\)
\(105x - 165 = 80x - 40\)
\(25x = 125\)
\(x = 5\)
how many years will it take for a sum of money to double at 10% compounded annually
Answer:
t=7.27 years
Step-by-step explanation:
Let the money be p and t will be the number of years that will be needed for the money to get double.
ATQ, 2p=p*(1+0.1)^t
2=(1.1)^t
log(2)/log(1.1)=t, t=7.27
Simplify the algebraic expressions -6x(2x-5)
Answer:
-12x^2 + 30x
Step-by-step explanation:
-6x(2x-5)
(-6x * 2x)
-12x^2
(-6x * -5)
30x
I need alot of help with this question???
Answer:
no clue bro just help yourself
Step-by-step explanation:
add them
or multiply or divide or subtract and you'll get it