Answer: x=8
Step-by-step explanation:
Given:
<A = 69
<B = 5x + 2
<C = 9y - 3
Rules to know:
>Those 2 lines on AB and BC means that the 2 sides are equal. That also means that the 2 angles that correspond to those sides are equal.
So <A=<C
>All angles of a triangle add up to 180
Solution:
<A = <C >substitute
69 = <C > You do not need to solve for y because <A=<C
>All angles of a triangle add up to 180
<A + <B + <C = 180
69 + <B + 69 = 180
138 + <B = 180
<B = 42
Substitute back in:
<B = 5x +2
42 = 5x + 2
40 = 5x
x = 8
what is the range of the following data 7,5,9,10,1,2,2,8
Answer:
9
Step-by-step explanation:
A student recorded a temperature of 75 degrees Fahrenheit at hour 9 and 95 degrees Fahrenheit at hour 13. calculate the rate of change between these temperatures
If the student recorded a temperature of 75 degrees Fahrenheit at hour 9 and 95 degrees Fahrenheit at hour 13. The rate of change between these temperatures will be 5 Fahrenheit per hour.
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables.
It is given that, A student recorded a temperature of 75 degrees Fahrenheit at hour 9 and 95 degrees Fahrenheit at hour 13.
The term "rate of change" refers to the pace at which one quantity changes with respect to another.
The rate of change is the ratio of temperature to the time elapsed,
Rate of Change = change in temperature/time elapsed
Rate of Change = (95°F - 75°F) / (13 -9) hour
Rate of Change =20 / 4
Rate of Change = 5 Fahrenheit per hour
Thus, if the student recorded a temperature of 75 degrees Fahrenheit at hour 9 and 95 degrees Fahrenheit at hour 13. The rate of change between these temperatures will be 5 Fahrenheit per hour.
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The amount of algae in a bloom, P, can be modeled by the equation P = t4 + 6t3 + 7t2 + 8t, where t is measured in weeks. When will the population of algae be greater than 500?
(0,416, infinity) is the best answer
Thank you for your question, your question is: The amount of algae in a bloom, P, can be modeled by the equation P = t4 + 6t3 + 7t2 + 8t, where t is measured in weeks. When will the population of algae be greater than 500?
Answer:
Much obliged to you for your inquiry, your inquiry is: The measure of green growth in a blossom, P, can be displayed by the condition P = t4 + 6t3 + 7t2 + 8t, where t is estimated in weeks. When will the number of inhabitants in green growth be more prominent than 500?
Lisa wrote a business plan for an entrepreneurship class, and now she has to make bound copies. Lisa could use a printer who charges a setup fee of $40 and $5 for every copy printed. Another possibility is to go to the office supply store, where she could pay an up-front fee of $30 and $10 per copy. There is a certain number of copies that makes the two options equivalent in terms of cost. How many copies is that?Write a system of equations, graph them, and type the solution.
The equation for the first option would be
\(y=40+5x\)Where "x" is the number of copies and y the cost.
The second equation will be
\(y=30+10x\)If we graph both equations we have
As we can see, they will be equal in terms of cost with 2 copies. The cost will be 50.
We can see it at the intersection of the two graphs! we can also do it with algebra, if the costs are equal (same "y") we can say
\(\begin{gathered} 40+5x=30+10x \\ \\ 10=5x \\ \\ x=2 \end{gathered}\)The number of copies is 2.
Sketch the graph of the solution set of the system of inequalities. Label the vertices of the region. 3x + 7y < 21 x > 0 y > 0
The graph of the equations 3x + 7y < 21, x > 0, and y > 0 are attached
The vertices are: (0, 0), (0, 3) and (7, 0) are identified in the graph
What are inequality graph?The regions that satisfy one or more inequalities can be seen when there are inequalities on a graph.
These inequalities are frequently linear and can be represented by straight line graphs.
To solve the inequalities, plot straight line graphs with either a solid line or a dashed line using the linear equations.
A solid line indicates that the line is present.
The line is not included if it is dotted.
The graphs for the equation is plotted and attached
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Find the volume of a region bounded by the functions y = 2x + 6, the y-axis, and the x-axis as it revolves
around the x-axis.
GRAPH !
V=
units3
(round to the nearest tenth)
The bounded region in question is a triangle in the second quadrant. The line y = 2x + 6 has intercepts (0, 6) and (-3, 0), so revolving the triangle about the x-axis forms a cone with height 3 and whose circular base has radius 6. Its volume would then π/3 • 6² • 3 = 36π ≈ 113.1 units³.
But you're probably supposed to use calculus. Using the disk method, the integral for the volume is
\(\displaystyle V=\pi\int_{-3}^0 (2x+6)^2\,\mathrm dx\)
\(\displaystyle V=\pi\int_{-3}^0(4x^2+24x+36)\,\mathrm dx\)
\(V=\pi\left(\dfrac43x^3+12x^2+36x\right)\bigg|_{-3}^0=\boxed{36\pi}\)
as expected.
When all n teams in a league play every other team twice, a total of N games are played, where N=n2−n. A soccer league has 5 teams and all teams play each other twice. How many games are played?
Step-by-step explanation:
using N=n^2-n
let n be 5 which is no of teams
N=5^2-5
N=25-5
N=20
where N is for only one match
so,let 2 matches be x
x=2N
x=2×20
x=40
so they played a total of 40 matches
please answer need help
2. Tina had $10. She spent $6 at the movie. a) What fraction of the money was not used? b) Calculate the percentage of money not spent.
Answer:
a) 2/5
b) 40%
Step-by-step explanation:
Tina had $10.
a)
10-6=4
4/10=2/5
b)
2/5x20/20=40/100
=40%
Hope this helps :)
6 pounds more than twice the weight, w
2x+6 is the required weight.
The weight of an object is defined as the force acting on the object due to gravity. It is a scalar quantity. Weight is measured in newtons.
In Physics, the gravitational force with which the earth attracts all the masses to its center is called weight.
In the given question,
Let the weight of an object is x.
6 pounds more than twice the weight means the required weight of an object will be the 2×weight of the object(x) + 6 pounds.
Therefore,
2x+6 is the required weight of the object.
The complete question is,
The weight of 1st object is x. The weight of the second object is 6 pounds more than twice the weight. What is the weight of the second object?
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The needed weight is 2x+6.
The force exerted on an object by gravity is known as the weight of the object. It has a scalar value. Newtons are a unit of weight.
Weight is the term used in physics to describe the gravitational force that pulls all masses toward the center of the earth.
In the posed query,
Let's say that an object weighs x pounds.
The needed weight of an object is the weight of the object(x) plus 6 pounds, which is 6 pounds more than twice the weight.
Therefore,
The object must weigh at least 2x+6.
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The complete question is:-
The first item weighs x pounds. The second object weighs 6 pounds more than it does, or more than twice as much. What does the second object weigh?
Edge Precalculus End Behavior of Limits
Answer:
ereee
Step-by-step explanation:
Answer:
c.
g(x)=-3/x
Step-by-step explanation:
6. The quotient of 5 and a number y, minus 10.
Answer:
5/y - 10
Step-by-step explanation:
I doubt the completeness of your question, however
the answer is
5/y - 10
why is 2 × 3/4 less than 2
Answer:
becuase 2*3 is 6, and 2*4 is 8, and when you simplfy it is 1 and 1/2, which in decimal form is 1.5, making it less than 2
Answer:
Is 2/4 smaller than 2/3? These are the same questions with one answer.
To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:
2/4 = 0.5
2/3 = 0.667
Then, we compare the two decimal numbers to get the answer.
0.5 is less than 0.667.
Therefore, 2/4 is less than 2/3 and the answer to the question "Is 2/4 less than 2/3?" is yes.
i think this will help
How much material would it take to cover the sandbox?
Answer:
D.6,600 ft
Step-by-step explanation:
I hope it helps
1. Given f(x) = x2 – 4x + 4. Solve for:
(a) f(3)
(b) f(x + 3)
2. Considering the function given in the previous number, is f(x + 3) the same as
f(x) + f(3)?
3. Given f(x) = +1
2−9
, for what values of x will be the evaluation of function NOT
possible?
4. Choose a real-life scenario where we can apply evaluation of functions and/or
piecewise functions. Explain why do we need the skill in evaluating functions.
Answer:
1 f(3) = 3*2-4*3 +4=-2
f(x+3) = (x+3)*2 - 4*(x+3) +4
= 2x +6 - 4x -12 + 4
= -2x-2
=-2(x+1)
Step-by-step explanation:
1 f(3) = 3*2-4*3 +4=-2
f(x+3) = (x+3)*2 - 4*(x+3) +4
= 2x +6 - 4x -12 + 4
= -2x-2
=-2(x+1)
The vet says that raise puppy will grow to be at most 28 inches tall raise. Puppy is currently 1 foot tall how much more will the puppy grow?
Write an inequality to solve the problem
Answer:
16 inches
Step-by-step explanation:
28 - 12 = 16 inches
1 foot = 12 inches
A gamer is observing her score, y, as she plays a video game. She currently has 2,500 points and is gaining 300 points for every minute, x, she plays. Which of the following equations can be used to describe this linear relationship? y = 300x − 2,500 y = 300x + 2,500 y = 2,500x − 300 y = 2,500x + 300
The linear equation that describes this situation is:
y = 2500 + 300*x
Which of the following equations can be used to describe this linear relationship?A general linear equation is written as:
y = ax + b
where a is the slope and b is the initial value.
Here we know that she starts with 2,500 points in the game, and then she wins 300 points for every minute.
Then the initial value is 2,500, and the slope is 300, then we can write the linear equation:
y = 2500 + 300*x
That is the correct option.
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Question
Use the discriminant to determine the number of real solutions to the quadratic equation.
-2a^2 – 11a – 10 = 0
Top
Previous
To determine the percentage of alcohol in a liquid contains?
Answer:
Formula for Calculating Alcohol in Beer
Step-by-step explanation:
Subtract the Original Gravity from the Final Gravity.
Multiply this number by 131.25.
The resulting number is your alcohol percent, or ABV%
Find the value of x that makes p || q
Answer:
x=40
Step-by-step explanation:
80°+(2x+20)°= 180°... (co-interior angles are supplementary)
2x=180 - 80 - 20
2x=80
(divide both sides by the coefficient of x which is 2)
x=80÷2
x=40
Check:
(2x+20) must be equal to 100
Let x=40
Therefore :
2X40+20
=100
Answer:
x = 40
Step-by-step explanation:
These angles are known as same-side interior angles. They are supplementary angles meaning they have a sum of 180°.
\(2x+20+80=180\\2x+100=180\\2x=80\\x=40\)
Asaaap
What is the mean, median and mode of the following test scores?
Answer:
The mean is 38, the median is 34, the mode is 34
Step-by-step explanation:
mean: add all the numbers then divide by how many numbers there are in the data set, there were 7 test scores so in this case, divide by 7
median: the number in the middle when you order the numbers from least to greatest
mode: most commonly used number; number that appears most often.
hope this helps!
of the five points $(3, 10),$ $(6, 20),$ $(12, 35),$ $(18, 40)$ and $(20, 50),$ what is the sum of the $x$-coordinates of the points that lie in the region above the line $y
The sum of the x-coordinates of the points that lie in the region above the straight line y = 2x + 7 in coordinate plane is thirty-eight.
A point lies above the straight line , y = 2x + 7 in co-ordinate plane . If its y -coordinate is greater than two times its x-coordinate plus 7. Now, we are checking the each ordered pair one by one ,
(i) plug x = 3 and y = 10
2x + 7 = 3×2 + 7 = 13 > 10
(ii) plug x = 6 in 2x+7
=> 2× 6 + 7 = 19 < 20
(iii) x = 12
=> 2x + 7 = 2× 12 + 7 = 31 < 35
(Iv) x = 18
=> 2x + 7 = 2× 18 + 7 = 43 > 40
(v) x = 20
2x + 7 = 2×20 + 7 = 47 < 50
We see (6, 20) , ( 12,35) and (20,50) satisfy this condition. Now, we determine the sum of x-coordinates . The sum of the x-coordinates of these points is 6 + 12 + 20 = 38 . So, required sum of x-coordinates is 38.
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Complete question:
Of the five points (3, 10), (6, 20),(12, 35), (18, 40)and (20, 50), what is the sum of the x-coordinates of the points that lie in the region above the line
y = 2x + 7 in coordinate plane.
Please help!! (Solve for x)
The value of x using the theorem of intersecting secants is 10
How to calculate the value of xFrom the question, we have the following parameters that can be used in our computation:
intersecting secants
Using the intersecting secants equation, we have
8 * (8 + x) = 6 * (6 + 18)
Evaluate the like terms
So, we have
8 * (8 + x) = 6 * 24
Divide both sides by 8
8 + x = 6 * 3
So, we have
8 + x = 18
Subtract 8 from both sides
x = 10
Hence, the value of x is 10
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-10-7. A total of 14 people visit a website on the day it launches. The number of visitors doubles every dayfor the next 7 days. (5 points)a. Write the function, f(x), that represents the number of visitors x days after the website launches.Hint: There are 14 visitors when x = 0 days. (2 points)b. How many visitors are there 7 days after the website launches? Show your work. (2 points forthe correct answer with work shown)c. Would you expect this growth to continue forever? Why or why not? (1 point)
Given:
The total number of people = 14 students.
The number of visits doubles every day for the next 7 days.
Required:
We need to find the function of the given situation.
Explanation:
Let x be the number of days.
The function f(x)
Ty received 3/5 of his CDs as gifts. If he has 60 CDs, how many were gifts?
Answer:
36 CDs were gifts-------------------
3/5 part of 60 CD's were gifts.
That makes:
3/5 * 60 = 180/5 = 36 CDsTo purchase $14,500 worth of restaurant equipment for her business, Debra made a down payment of $1300 and took out a business loan for the rest. After 2 years of paying monthly payments of $585.04, she finally paid off the loan.
(a) What was the total amount Debra ended up paying for the equipment (including the down payment and monthly payments)?
(b) How much interest did Debra pay on the loan?
The total amount Debra ended up paying for the equipment was $28,541.60 and the amount of interest Debra paid on the loan was $14,041.60
(a) To find the total amount Debra ended up paying for the equipment (including the down payment and monthly payments), we need to add the down payment to the total amount of the loan, and then add the total amount of the monthly payments made over the two years.
Total amount of the loan = $14,500 - $1,300 (down payment) = $13,200
Total amount paid = Down payment + Total amount of the loan + Total amount of monthly payments
Total amount paid = $1,300 + $13,200 + ($585.04 x 24) [since there are 24 monthly payments in 2 years]
Total amount paid = $1,300 + $13,200 + $14,041.60
Total amount paid = $28,541.60
Therefore, the total amount Debra ended up paying for the equipment (including the down payment and monthly payments) was $28,541.60.
(b) To find the amount of interest paid on the loan, we need to subtract the total amount borrowed from the total amount paid, and then subtract the down payment. This will give us the total amount of interest paid over the two years.
Total interest paid = Total amount paid - Total amount borrowed - Down payment
Total interest paid = $28,541.60 - $13,200 - $1,300
Total interest paid = $14,041.60
Therefore, the amount of interest Debra paid on the loan was $14,041.60.
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-b-
Note: Figure is not drawn to scale.
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
OA.
21 m
OB.
32 m
29 m
34 m
OC.
OD.
6 of 10 Answered
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C
After considering the given data we conclude that the perimeter of the given swimming pool is 23 meters which is Option A.
The perimeter of a rectangle is evaluated by adding up all its sides. For the given case, we possess a rectangle with sides
a = 5m,
b = 8m,
c = 8m and
d = 2m.
Perimeter regarding the swimming pool is evaluated as
a + b + c + d
= 5m + 8m + 8m + 2m
= 23 meters
Hence the option regarding the question which satisfy the perimeter is Option A.
Perimeter the counted measurement regarding the distance around the outside of a two-dimensional shape. In this system the length of the outline or boundary of any two-dimensional geometric shape is defined as perimeter .
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The complete question is
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
A.23 m
B. 32 m
C.29 m
D.34 m
The tables show the heights in inches of all the adult grandchildren of two sets of grandparents, the Smiths and the Thompsons. What is the difference in the medians as a multiple of the ranges? Round to the nearest hundredth if necessary. Heights of the Smiths' Adult Grandchildren (in.) 63, 64, 67, 65, 64, 67, 68, 65, 69,66 Heights of the Thompsons' Adult Grandchildren (in.) 78, 83, 81, 80, 82,79, 78, 82, 80, 77 x range. The difference in the medians as a multiple of the ranges is
Answer:
83
Step-by-step explanation:
when you combine all the numbers you will get the answer of 83 then you multiply
6
If the circumference of the circle is 50, find the approximate radius, diameter and area of the circle. (Use 3.14 for
)
How do i convert the follwing Powers Of Ten into standard numbers?
\(10^{7}\)
\(10^{5}\)
\(10^{8}\)
\(10^{12}\)
\(10^{6}\)
The standard numbers are obtained from the given numbers as follows;
10⁷ → 1000000010⁵ → 10000010⁸ → 10000000010¹² → 100000000000010⁶ → 1000000Which method can be used to express the numbers in standard form?The standard form of numbers is obtained by expressing the number completely and not using powers of 10
The given numbers in powers of 10 can be expressed in standard form by writing the specified number of zeros next to 1 given by the power of 10 as follows;
Number → Standard form
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