Answer: (-2,-7)
Step-by-step explanation:
A function f(x-c) , where c>0 , represents the horizontal shift of original function to the right c units.
The function f(x-c) is going to add c to the x value, while keeping the y value the same.
Similarly,
The function f(x-5) is going to add 5 to the x value, while keeping the y value the same.
So, the corresponding point to (-7,-7) on f(x-5) = (-7+5,-7)
= (-2,-7)
hence, the corresponding point to (-7,-7) on f(x-5) = (-2,-7)
If Juan drives 50 mph for 1/2 hour then 60 mph for 1 1/2 an hour, how far does he drive?
Answer:
115 miles
Step-by-step explanation:
First find the distance at 50 mph
d = 50 mph * .5 hours
= 25 miles
Then find the distance at 60 mph
d = 60 mph * 1.5 hours
= 90 miles
Add the distances together
25+90
115 miles
Answer:
he drives a 115 miles
Step-by-step explanation:
if he drives 50 mph for half an hour he drove 25 miles then if he drives 60 mph for 1 hour and 30 minutes he would of drove 90 miles. 60 + 30=90
90+25=115 so he drove 115 miles.
Does the data in the table represent a direct variation or an inverse variation write an equation to model the data in the table x 6,8,12,20 y 9,12,18,30
Answer:
direct variation
Step-by-step explanation:
For direct variation k = [tex]\frac{y}{x}[/tex] ← k is the constant of variation
For inverse variation k = yx
Expressing the data as ordered pairs
(6, 9), (8, 12), (12, 18), (20, 30)
k = [tex]\frac{9}{6}[/tex] = [tex]\frac{12}{8}[/tex] = [tex]\frac{18}{12}[/tex] = [tex]\frac{30}{20}[/tex] = [tex]\frac{3}{2}[/tex] = 1.5 ← indicating direct variation
Equation is
y = kx = 1.5x
given sin theta=3/5 and 180°<theta<270°, find the following: a. cos(2theta) b. sin(2theta) c. tan(2theta)
I hope this will help uh.....
A local orchestra is holding a charity concert concert at the community center. Each adult ticket $12, and child ticket costs $8. The organizers of the event hope to raise no less than $2,500, and the community center can seat up to 280 people. This graph and system in inequalities represent this situation, where x represents the number of adult tickets and y represents the number of child tickets. 12x + 8y> 2,500. X + y < 280
The answer is (180,80)
To solve this problem, we have to plot the graph, using a tool. This question relates to an inequality and graphical method is a reliable approach to solve inequality problem.
InequalityThe given question is an inequality situation where we are asked to use graph to solve.
The data given are
adult ticket = $12child ticket = $8Total amount raised = $2500Total number of people = 280The inequality for this problem is given is as
[tex]12x + 8y > 2500\\x + y < 280[/tex]
Kindly find the attached image as the graph and solution to this problem.
Learn more on graphically solution for inequality here;
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A drawer is filled with 3 black shirts, 8 white shirts, and 4 gray shirts. One shirt is chosen at random from the drawer. Find the probability that it is not a white shirt. Write your answer as a fraction.
The probability that the shirt that is chosen at random from the drawer is not a white shirt, can be found to be 47 %
How to find the probability ?The probability that the shirt picked is not a white shirt can be found by first finding the number of shirts that are not white shorts in the drawer. This number is :
= Number of black shirts + Gray shirts
= 3 + 4
= 7 shirts
Then, find the total number of shirts in the drawer, including the white shirts :
= Number of black shirts + Gray shirts + White shirts
= 3 + 8 + 4
= 15 shirts
The probability that when a shirt is chosen at random, that it is not a white shirt is :
= Number of shirts that are not white / Total number of shirts
= 7 / 15
= 47 %
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In △ABC, m∠A=27 °, c=14 , and m∠B=25 °. Find a to the nearest tenth.
Answer:
a = 8.1
Step-by-step explanation:
Firstly, since we have a triangle, automatically, we have 3 interior angles
Mathematically the sum of these angles = 180
A + B + C = 180
27 + 25 + C = 180
52 + C = 180
C = 180-52
C = 128
We use the sine rule to find a
The sine rule posits that the ratio of a side to the sine of the angle facing that side is equal for all the sides of a triangle
Thus, mathematically according to the sine rule;
c/Sin C = a/Sin A
14/sin 128 = a/sin 27
a = 14sin27/sin 128 = 8.0657
which to the nearest tenth is 8.1
An accountant receives a salary of $262,000 per year. During the year, he plans to spend $99,000 on his mortgage, $54,000 on food, $32,000 on clothing, $41,000 on household expenses, and $28,000 on other expenses. With the money that is left, he expects to buy as many shares of stock at $250 per share as possible. Using the equation below, determine how many shares will he be able to buy? What was the sum of the accountant's expenses?
Answer:
Number of shares = 32 shares
Accountant total expenses= $254000
Step by step explanation:
The accountant salary is $262000
He spends $99000 on mortage
Spends $54000 on foods
Spends $32000 on clothing
Spends $41000 on household
Spends $28000 on others
Total expenses= 99000+54000+32000+41000+28000
Total expenses =$254000
Remaining money = 262000-254000
Remaining money= $8000
If shares = $250 for one
To know the amount he buys with the remaining money
We divide remaining money by shares cost
= $8000/$250
= 32 shares
i got 11 first but im not too sure cause sometimes it will ask me it's wrong Use the integers that are closest to the number in the middle.
Answer:
11 < √137 < 12
Step-by-step explanation:
the closest squares are 121 and 144; 11² and 12²
Please help ASAP!!! Thank you so much!!! Just want confirm my answer and it is A) -5. Consider the function f(x)= [tex]x^{3}[/tex] +4[tex]x^{2}[/tex]-25x-50. (x^3+4x^2-25x-50). If there is a remainder of 50 when the function is divided by (x-a) what is the value of a? A) -5 B) -2 C)-3 D)
Answer:
Correct is A
Step-by-step explanation:
Correct is A , notice that when you perform synthetic division you get that the reminder is 50, please refer to the image I attach to see it.
use the associative property to rewrite (26+92)+17
Answer:
(26+92)+17 = 26 + ( 92+17)
Step-by-step explanation:
The associative property of addition is
a + (b + c) = (a + b) + c
We want to move the parentheses
(26+92)+17 = 26 + ( 92+17)
A rectangle is to be inscribed in a right triangle having sides of length 6 in, 8 in, and 10 in. Find the dimensions of the rectangle with greatest area assuming the rectangle is positioned as in Figure 1. Figure1
Answer: width = 2.4 in, length = 5
Step-by-step explanation:
The max area of a right triangle is half the area of the original triangle.
Area of the triangle = (6 x 8)/2 = 24
--> area of rectangle = 24 ÷ 2 = 12
Next, let's find the dimensions.
The length is adjacent to the hypotenuse. Since we know the area is half, we should also know that the length will be half of the hypotenuse.
length = 10 ÷ 2 = 5
Use the area formula to find the width:
A = length x width
12 = 5 w
12/5 = w
2.4 = w
The dimensions of the rectangle with greatest area is length is 3 inch and the width is 4 inch.
Let the length and width of the rectangle be x and y.
Then Area of the rectangle = xy
Now, from the triangle we can conclude that
[tex]\frac{6-x}{y} =\frac{6}{8} \\y=8(\frac{6-x}{6} ).[/tex]
Put the value of y in Area we get
[tex]A(x)=x\frac{8}{6} (6-x)\\A(x)=\frac{8}{6}(6x-x^{2} )\\[/tex]
Differentiating it w.r.t x we get
[tex]A'(x)=\frac{8}{6}(6-2x )\\A''(x)=\frac{8}{6}(0-2 )\\A''(x)=\frac{-8}{3}[/tex]
Put A'(x)=0 for maximum /minimum value
[tex]A'(x)=0\\\frac{8}{6}(6-2x)=0\\x=3[/tex]
Now, [tex]A''(3)=-\frac{8}{3} <0[/tex]
Therefore the area of the rectangle is maximum for x=3 inch
Now,
[tex]y=\frac{8}{6} (6-3)\\y=4[/tex]
Thus the dimensions of the rectangle with greatest area is 3 inch by 4 inch.
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Which question is best modeled with a division expression? What is the sum of 3 and StartFraction 8 Over 11 EndFraction? What is the quotient of 3 and StartFraction 8 Over 11 EndFraction? What is the product of 3 and StartFraction 8 Over 11 EndFraction? What is the difference of 3 and StartFraction 8 Over 11 EndFraction?
Answer: B
Step-by-step explanation:
The sum, quotient, product, and difference of the numbers 3 and 8/11 will be 3.7272, 4.125, 2.1818, and 2.2727 respectively.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The numbers are given below.
3 and 8/11
The sum of the numbers is calculated as,
⇒ 3 + 8/11
⇒ (33 + 8) / 11
⇒ 41 / 11
⇒ 3.7272
The quotient of the numbers is calculated as,
⇒ 3 / (8/11)
⇒ 3 x 11 / 8
⇒ 4.125
The product of the numbers is calculated as,
⇒ (3) x (8 / 11)
⇒ 24 / 11
⇒ 2.1818
The difference between the numbers is calculated as,
⇒ 3 - 8/11
⇒ (33 - 8) / 11
⇒ 25 / 11
⇒ 2.2727
The sum, quotient, product, and difference of the numbers 3 and 8/11 will be 3.7272, 4.125, 2.1818, and 2.2727 respectively.
More about the Algebra link is given below.
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6. Look at the figure below.
Are triangles ABC and DEC congruent?
Explain why or why not.
Answer:
Yes
Step-by-step explanation:
They are congruent by the AAS postulate.
∠A corresponds to and is congruent to ∠D
Side BC corresponds to and is congruent to side EC
∠C is congruent to ∠C by the Vertical Angles Theorem.
So, ΔABC ≅ ΔDEC
Which expression is equivalent to g5?
О 9х5
О 5x5x5x5x5x5x5x5x5
О 9х9х9х9х9
О 9х9х9х9х9х5x5x5x5x5x5x5x5x5
Answer:
9 x 9 x 9 x 9 x 9
Step-by-step explanation:
9^5 = 9 x 9 x 9 x 9 x 9
Answer:
it is C
Step-by-step explanation:
You were recently hired by a company and will recieve a starting salary of $45,000 per year. You will receive a $2,500 raise each year you are with the company. What will your salary be in your 6th year with the company?
Answer:
$60,000
Step-by-step explanation:
$2500*6=15000
45000+15000=60000
Copy the problem, mark the givens in the diagram, and write a Statement/Reason proof. Given: MN ≅ MA ME ≅ MR Prove: ∠E ≅ ∠R
Answer:
Step-by-step explanation:
Given: MN ≅ MA
ME ≅ MR
Prove: ∠E ≅ ∠R
From the given diagram,
YN ≅ YA
EY ≅ RY
<EMA = <RMN (right angle property)
EA = EY + YA (addition property of a line)
NR = YN + RY (addition property of a line)
EA ≅ NR (congruent property)
ΔEMA ≅ ΔRMN (Side-Side-Side, SSS, congruence property)
<MNR ≅ MAE (angle property of congruent triangles)
Therefore,
<E ≅ <R (angle property of congruent triangles)
The equation of a line is y = 1.5x_2. What are it’s slope and y- intercet
Answer: the slope is 1.5 and the y-intercept is -2.
Step-by-step explanation:
Assuming you meant 1.5x-2 and accidentally pressed shift to turn - into _.
This equation is in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
Thus, the slope is 1.5 and the y-intercept is -2.
Hope it helps <3
━━━━━━━☆☆━━━━━━━
▹ Answer
[tex]Slope = 1.5\\\\Y-intercept = -2[/tex]
▹ Step-by-Step Explanation
(I'm assuming the underscore was meant as a minus sign)
[tex]Slope \\equation \\\\ y = mx + b\\\\[/tex]
mx represents the slope and b represents the y-intercept.
Therefore:
1.5 is the slope, and -2 is the y-intercept.
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
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Suppose a college student pays $750 for tuition fees. However, she also has to pay $300 for her textbooks (ouch!). What percent of her total education costs does she pay for her books?
Answer:
Total costs = $700 + $300 = $1000.
$300 / $1000 = 0.3 = 3%
Step-by-step explanation:
The graph for the equation y = 2 x + 4 is shown below. On a coordinate plane, a line goes through (negative 2, 0) and (0, 4). If another equation is graphed so that the system has one solution, which equation could that be?
Answer: x = 1
Step-by-step explanation:
x = 1 provides one solution for any linear equation, as it is a straight vertical line.
Hope it helps <3
Answer:
x=2
Step-by-step explanation:
Our equation is y=2x+4
the line goes through (2,0) and (0,4)
(2,0) is the x-axis intercept wich is given by y=0(0,4) is the y-intercept wich by y= 2*0+4This equation has one solution for y=0
there are millions of similar equations that has one solution like:
x = 2
What are the solutions to the system of equations graphed attached pic
Answer: C
Step-by-step explanation:
For system of equations, the solution is the point or points where the equations intersect. The point they meet signifies that they are the same at the x and y point.
Looking at the graph, we see 2 intersection points. They are (0,-8) and (4,8). Therefore, C is the correct answer.
please I need help with this question!
The weight of adult males in Boston are normally distributed with mean 69 kilograms and variance 25 kilograms.
I. what percentage of adult male in Boston weigh more than 72 kilograms?
ii. what must an adult male weigh in order to be among the heaviest 10% of the population?
Thank you in advance!
Answer:
I. 60%
II. 75.4 kg
Step-by-step explanation:
We will use the z-scores and the standard normal distribution to answer this questions.
We have a normal distribution with mean 69 kg and variance 25 kg^2 (therefore, standard deviation of 5 kg).
I. What percentage of adult male in Boston weigh more than 72 kg?
We calculate the z-score for 72 kg and then calculate the associated probability:
[tex]z=\dfrac{X-\mu}{\sigma}=\dfrac{72-69}{5}=\dfrac{3}{5}=0.6\\\\\\P(X>72)=P(z>0.6)=0.274[/tex]
II. What must an adult male weigh in order to be among the heaviest 10% of the population?
We have to calculate tha z-score that satisfies:
[tex]P(z>z^*)=0.1[/tex]
This happens for z=1.28 (see attachment).
Then, we can calculate the weight using this transformation:
[tex]X=\mu+z^*\cdot\sigma=69+1.28\cdot 5=69+6.4=75.4[/tex]
A certain mixture of paint contains 5 parts white paint for every 4 parts blue paint. If a can of paint contains 75 ounces of white paint, how many ounces of blue paint are in the can?
Answer:
60 ounces
Step-by-step explanation:
A certain mixture of paint contains 5 parts white paint for every 4 parts blue paint, that is, the white paint (w) to blue paint (b) ratio is 5:4. We can apply this ratio to different units such as ounces. This means that the mixture has 5 ounces of white paint to 4 ounces of blue paint. If a can of paint contains 75 ounces of white paint, the ounces of blue paint in the can are:
75 oz w × (4 oz b/5 oz w) = 60 oz b
plS I really need this question
Mai is making friendship bracelets. Each bracelet is made from 24.3 cm of string. If she has 170.1 cm of string, how many bracelets can she make? Explain or show your reasoning.
Answer:
❄️The answer is 7.0 or 7❄️
Step-by-step explanation:
It mostly depends on how many zeros will you put in 7.0
It actually doesn’t matter how many zeros you put after the decimal point.
Below I attached a picture of how to solve this kinds of problem.
Hope this helps! ^-^
By:❤️BrainlyMagic❤️
Note:if you ever need help, you can always ask me!
Answer:
It’s 7.0 or 7
Step-by-step explanation:
Trust me I got it right in my homework.
Find the slope of the line passing through the points (-4, 2) and (-6,5).
Answer:
-3/2
Step-by-step explanation:
Hey there!
Well to find the slope of a line with 2 points we use the following formula,
y2 - y1 / x2 - x1
5 - 2 = 3
-6 - -4 = -2
Slope = -3/2
Hope this helps :)
Answer:
[tex]Slope = -\frac{3}{2}[/tex]
Step-by-step explanation:
[tex](-4, 2) \:(-6,5).\\\\m =\frac{y_2-y_1}{x_2-x_1} \\\\x_1 = -4\\y_1 =2\\x_2 = -6\\y_2 =5\\\\m = \frac{5 -2}{-6-(-4)}\\ m = \frac{3}{-6+4}\\ m = \frac{3}{-2}\\ \\Slope = -\frac{3}{2}[/tex]
A weatherman stated that the average temperature during July in Chattanooga is 80 degrees or less. A sample of 32 Julys is taken. The correct set of hypotheses is:________. a. H0: μ ≠ 80 Ha: μ = 80b. H0: μ 80 Ha: μ > 80c. H0: μ < 80 Ha: μ > 80d. H0: μ 80 Ha: μ < 80
Answer:
u <= 80
u > 80
Step-by-step explanation:
The happiest would be
Null hypothesis: u <= 80
Alternative hypothesis: u > 80
The correct set of hypotheses for the sample in July is H0: μ ≠ 80 Ha: μ = 80.
What is the null and alternative hypothesis?The null hypothesis H0 which is also known as the default hypothesis states that there is no relationship between the population parameters. The alternative hypothesis (H1 ) states that there is a relationship between the population parameters.
To learn more about the null hypothesis, please check: brainly.com/question/4454077
helpppppppppppppppppppppppppppppp
Answer:
0
Step-by-step explanation:
Hope this helps
Find the dimensions of a rectangle with area 512 m2 whose perimeter is as small as possible. (If both values are the same number, enter it into both blanks.)
Answer:
√512 by √512Step-by-step explanation:
Length the length and breadth of the rectangle be x and y.
Area of the rectangle A = Length * breadth
Perimeter P = 2(Length + Breadth)
A = xy and P = 2(x+y)
If the area of the rectangle is 512m², then 512 = xy
x = 512/y
Substituting x = 512/y into the formula for calculating the perimeter;
P = 2(512/y + y)
P = 1024/y + 2y
To get the value of y, we will set dP/dy to zero and solve.
dP/dy = -1024y⁻² + 2
-1024y⁻² + 2 = 0
-1024y⁻² = -2
512y⁻² = 1
y⁻² = 1/512
1/y² = 1/512
y² = 512
y = √512 m
On testing for minimum, we must know that the perimeter is at the minimum when y = √512
From xy = 512
x(√512) = 512
x = 512/√512
On rationalizing, x = 512/√512 * √512 /√512
x = 512√512 /512
x = √512 m
Hence, the dimensions of a rectangle is √512 m by √512 m
For f(x) = 4x + 1 and g(x) = x2 – 5, find (f – g)(x).
Answer:
(f – g)(x) = - x² + 4x + 6Step-by-step explanation:
f(x) = 4x + 1
g(x) = x² – 5
To find (f – g)(x) subtract g(x) from f(x)
That's
(f – g)(x) = 4x + 1 - ( x² - 5)
Remove the bracket
(f – g)(x) = 4x + 1 - x² + 5
Group like terms
(f – g)(x) = - x² + 4x + 1 + 5
We have the final answer as
(f – g)(x) = - x² + 4x + 6Hope this helps you
During a camping trip, a group went one -third of the total distance by boat, 10km by foot and One – sixth of it by riding horses. Find the total distance of the trip.
Write down the first 6 elements of the following sequence (where n ∈ Z +), then give a recursive definition for an. Do not forget the base case. (You do not need to prove it is correct). (a) an = 3n − 10 (b) an = (1 + (−1)n ) n
Step-by-step explanation:
The first six terms for each of the following sequenses are:
(a) a_n = 3n - 10
1. a_1 = -7
2. a_2 = -4
3. a_3 = -1
4. a_4 = 2
5. a_5 = 5
6. a_6 = 8
(b) a_n = (1 + (-1)^n) ^n
1. a_1 = 0
2. a_2 = 4
3. a_3 =0
4. a_4 = 16
5. a_5 = 0
6. a_6 = 32
