Answer:
∠ C = 50°
Step-by-step explanation:
• each lower base angle is supplementary to the upper base angle on the same side.
then
∠ C + ∠ D = 180°
∠ C + 130° = 180° ( subtract 130° from both sides )
∠ C = 50°
I don’t know how to do big seven
Answer:
70
Step-by-step explanation:10 goes to 70 7 times drop down the 0 and u get 70 therefore final answer 70
What is the best math equation that I may need every time?
f(X) is the solid line graph below. G(X) is the dashed line below.
On what interval of x is f(X) increasing?
On what interval of x is f(X) decreasing?
In the graph, [tex]f(x)[/tex] is increasing in the interval (-7, -5).
What is a graph in mathematics?
A graph is a graphic that uses a line or a sequence of bars, dots, or other symbols to depict a connection between two variables, most typically sets of numbers. Whatever else is in your graph, you can't construct it without scales. A vertical scale and a horizontal scale are used in bar graphs.
From the given graph, it can be concluded that
[tex]f(x)[/tex] is increasing in the interval (-7, -5)
[tex]f(x)[/tex] is decreasing in the interval (2, 10)
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5/6-4/5 in simplest form
Answer:
1/30
Step-by-step explanation:
5/6 - 4/5
= 25/30 - 24/30
= 1/30
[tex]~\frak{Tsyaa01:)}[/tex]
What value of p makes the following equation true? p−9=−5(p−3)
The value of p that makes the equation true is 4
How to calculate the value of p ?
p-9= -5(p-3)
p-9 = -5p + 15
collect the like terms
p + 5p= 15 + 9
6p= 24
Divide both sides by the coefficient of p which is 6
6p/6= 24/6
p= 4
Hence the value of p that makes the equation true is 4
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Which expressions are equivalent to One-third + 8 d + StartFraction 5 Over 7 EndFraction? Check all that apply. 1 + 3 + 8 d + 5 + 7 8 d + one-third + StartFraction 5 Over 7 EndFraction StartFraction 1 Over 7 EndFraction + 8 d + StartFraction 5 Over 3 EndFraction One-third + StartFraction 5 Over 7 EndFraction + 8 d 3 + 8 d + 7 8 d + one-third + StartFraction 7 Over 5 EndFraction StartFraction 5 Over 7 EndFraction + one-third + 8 d Mark this and return
The equivalent expressions of One-third + 8 d + StartFraction 5 Over 7 EndFraction are option B,D and G.
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
Here, the given expression is :
One-third + 8 d + StartFraction 5 Over 7 EndFraction
and, the expression equivalent to this are :
1) 8 d + one-third + StartFraction 5 Over 7 EndFraction
2) One-third + StartFraction 5 Over 7 EndFraction + 8 d
3) StartFraction 5 Over 7 EndFraction + one-third + 8 d
Therefore, the equivalent expressions are option B,D and G.
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Is 11/7 equivalent or not?
bor
4. FIGURINES Pete and Rhonda paint figurines. They
can both paint 8 figurines per hour. One day, Pete
worked 6 hours while Rhonda worked 9 hours. How
many figurines did they paint that day? Show how to
get the answer using the Distributive Property.
Answer:
Together they painted 120 figurines.
Step-by-step explanation:
8(6+9)=
8(6) + 8(9) =
48 + 72
120
Ezra and his wife’s monthly payment includes $2,165.61 for principal and interest, as well one twelfth of the annual property taxes of $6,478.50 and one twelfth of the annual insurance premium on the property of $2,186. What is their total monthly payment?
Using proportions, it is found that their total monthly payment is of $2,887.37.
What is a proportion?A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.
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, involving operations such as division and multiplication, as they involve unit rates.
For this problem, the payments are given as follows:
$2,165.61 for principal and interest.1/12 = 0.0833 of $6,478.50 for taxes.1/12 = 0.0833 of $2,186 for insurance.Hence:
2165.62 + 0.0833 x 6478.5 + 0.0833 x 2186 = $2,887.37
Their total monthly payment is of $2,887.37.
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Please help me with this question.
Answer:
[tex]12 \frac{1}{4} [/tex]
Step-by-step explanation:
Put the whole numbers into the fraction
[tex] \frac{7}{2} [/tex]
Multiply 7/2 by 7/2
[tex]\frac{49}{4}[/tex]
You can simplify by making whole numbers with the fraction.
[tex]12 \frac{1}{4} [/tex]
Madelyn Logan is an office furniture dealer who earns a $19,000 base salary. She also earns a 4% commission on
sales. How much must she sell to earn a total of $58,000
The total sales done by Madelyn Logan is $975,000.
What is defined as the commission on sales?Sales commission is an important component of sales compensation. It is the value of the money earned by a salesperson in relation to the number of sales made. This is extra money that often supplements a regular salary.Madelyn Logan earns $58,000 in total.
Madelyn Logan's total commissions are;
$58,000 - $19,000 (base salary) = $39,000.
That is, $39,000 equals 4% of her sales.
So,
0.04x = $39,000, in which x would be the total sales amount.
Then, x = $39,000 /0.04
x = $975,000.
Therefore, Madelyn Logan must sell the goods of worth $975,000. for making the amount of $58,000.
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7. Match each polynomial with its end behavior. Some end behavior options may not have a
matching polynomial.
A. f(x)=2x² + 3x + x²-1
B. f(x)=1-3x + x²
C. f(x)=9+x¹
D. f(x) = 2x+5
1. As x gets larger and larger in either the positive or negative direction, f(x) gets larger and
larger in the positive direction.
2. As x gets larger and larger in the positive direction, f(x) gets larger and larger in the
positive direction. As x gets larger and larger in the negative direction, f(x) gets larger and
larger in the negative direction.
3. As x gets larger and larger in the positive direction, f(x) gets larger and larger in the
negative direction. As x gets larger and larger in the negative direction, f(x) gets larger and
larger in the positive direction.
4. As x gets larger and larger in either the positive or negative direction, f(x) gets larger and
larger in the negative direction.
End behavior of the polynomials f(x) = 2x² + 3x + x² - 1 and f(x) = 1 - 3x + x² is; As x gets larger and larger in the positive direction, f(x) gets more positive. As x gets larger and larger in the negative direction, f(x) gets more positive.
How to describe the end behavior of a Polynomial?
A) We are given the polynomial; f(x) = 2x² + 3x + x² - 1
This is a second degree polynomial with a positive leading coefficient. Thus, the end behavior is; As x gets larger and larger in the positive direction, f(x) gets more positive. As x gets larger and larger in the negative direction, f(x) gets more positive.
B) We are given the polynomial; f(x) = 1 - 3x + x²
This is a second degree polynomial with a positive leading coefficient. Thus, the end behavior is; As x gets larger and larger in the positive direction, f(x) gets more positive. As x gets larger and larger in the negative direction, f(x) gets more positive.
C) We are given the polynomial; f(x) = 9 + x¹
This is a first degree polynomial with a positive leading coefficient. Thus, the end behavior is; As x gets larger and larger in either the positive or negative direction, f(x) gets larger and larger in the negative direction.
D) f(x) = 2x + 5
This is a first degree polynomial with a positive leading coefficient. Thus, the end behavior is; As x gets larger and larger in either the positive or negative direction, f(x) gets larger and larger in the negative direction.
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Triangle ABC is translated 6 units to the left and 1 unit up to create
Answer:
can you add a picture of the triangle
Step-by-step explanation:
Pleas help me with this im trying to figure it out open the picture please
Answer:
21 because if you can add like terms
Which of the following represents an INEFFICIENT point of production?
a. Point A
b. Point B
c. Point D
d. None
e. Point C
In the graph the Inefficient point of production is represented by the point A , option(a)Point A is correct .
The graph given in the question is for Skateboards vs Bikers.
we need to find the point which represents the Inefficient point of Production.
The points in the Production Possibility Curve are said to be inefficient when the resources are not utilized to the fullest.
The given Production possibility curve between the Skateboards and the Bikers have Point A as the Inefficient Point .
Therefore , the point A represents the Inefficient point of production in the given Production possibility curve , the correct option is (a)Point A.
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x+4y=z=-7
2xy + 2z = 15
-3x+y=3z = -22
Answer:
x-4303
Step-by-step explanation:
Use the graph of the function to find its domain and range. Write the domain and range in interval notation.
Answer:
Domain: (-infinity, 5]Range: [-6, infinity]An auto company's sales volume can be modeled by 7.8x? + 3.2x + 3.5, and its cost
can be modeled by 3.4x2 - 0.8x + 3.5, where o represents the number of cars
produced, and y stands for money in thousand dollars. We can calculate the company's
net profit by subtracting cost from sales. Find the polynomial which models the
company's sales in thousands of dollars.
The polynomial which models the company's sales in thousands of dollars will be 4.4x² + 4x.
What is a profit?A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running, or creating anything.
The profit is given as,
Profit = Selling price - Cost price
Sales volume for an auto manufacturer may be calculated as 7.8x² + 3.2x + 3.5 and costs as 3.4x² - 0.8x + 3.5.
The net profit by subtracting cost from sales will be
Net profit = (7.8x² + 3.2x + 3.5) - (3.4x² - 0.8x + 3.5)
Net profit = 7.8x² + 3.2x + 3.5 - 3.4x² + 0.8x - 3.5
Net profit = 4.4x² + 4x
The polynomial which models the company's sales in thousands of dollars will be 4.4x² + 4x.
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evaluate 3^-2
which answer is it?
Answer: 1/9 ==> A
Step-by-step explanation:
3^-2=
3^(-2)=
3^(-1*2)=
(3^(-1))^2=
(1/3)^2=
1^2 / 3^2 = 1/9 ==> A
Solve this inequality, and then select which graph should be used to represent the inequality
6n − 18 ≤ −n+3
The inequality graph that represents n ≤ 3 is in the diagram attached below.
How to Solve an Inequality?An inequality can be solved just like a normal equation by finding the possible values of the variable.
Given the inequality, 6n − 18 ≤ −n + 3, combine like terms
6n − 18 + 18 ≤ −n + 3 + 18
6n ≤ - n + 21
Add n to both sides of the inequality
6n + n ≤ - n + 21 + n
7n ≤ 21
Divide both sides by 7
7n/7 ≤ 21/7
n ≤ 3
This means that the values of n are from 3 and below.
Therefore, the inequality graph that represents n ≤ 3 is in the diagram attached below.
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help asap math question
The two equations that represent the remaining angle relationships are
x = 2(y + z) - 20 and x = 3z - 20
Writing equationsFrom the question, we are to determine the two equations that represent the remaining angle relationships
From the given information, we have that
x is the largest angle, y is the next largest angle and z is the smallest angle
Also, from the information,
"The measure of the largest angle is 20 degrees less than twice the sum of the measure of the other two angles"
That is,
x = 2(y + z) - 20
and
"The largest angle is 3 times the smaller angle minus 20 degrees"
x = 3z - 20
Hence, the two equations that represent the remaining angle relationships are x = 2(y + z) - 20 and x = 3z - 20
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How do i divid 8.118 by 0.615
Answer: 8.118 / 0.615 = 13.2
Given that 4x4-12x³-b²x²-7bx-2 is exactly divisible by 2x + b,
(i) show that 3b³ +7b²-4 = 0,
(ii) find the possible values of b.
Given the following formula, solve for a.
s=a+b+c/2
We can rearrange it to the standard form perimeter a = s - b - C/2
In arithmetic, what is a perimeter?
The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.
The answer to your question is a = s - b - C/2
To solve for "a", we must get "a" on it's own side of the equal sign. We can first subtract "s" from both sides:
0 = a + b + C/2 - s
Then, we can subtract a from both sides:
-a = b + C/2 - s
Finally, we divide both sides by -1, so a is by itself.
a = -b - C/2 + s
And we can rearrange it to the standard form:
a = s - b - C/2
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If it takes three robots 17 hours to mow vast lawn how many robots would be needed to mow it under three hours
Answer:1/4 of robot
Step-by-step explanation:
Given that f(x) = x + 3
a) Find f(2)
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
In the above question, it is given that :
[tex]\qquad \sf \boxed{ \sf f(x) = \frac{x + 3}{2} }[/tex]
A.) Find f(2) :
[tex]\qquad \sf \dashrightarrow \: f(2) = \dfrac{2 + 3}{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: f(2) = \dfrac{5}{2} [/tex]
or
[tex]\qquad \sf \dashrightarrow \: f(2) = 0.5[/tex]
B.) Find [tex]{ \sf {f}^{-1}(x) } [/tex] :
[tex]\qquad \sf \dashrightarrow \: let \: y = f (x) [/tex]
so, we can write it as :
[tex]\qquad \sf \dashrightarrow \: y = \dfrac{x + 3}{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: 2y = x + 3[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 2y - 3[/tex]
Now, put x = [tex]{ \sf {f}^{-1}(x) } [/tex], and y = x and we will get our required inverse function ~
[tex]\qquad \sf \dashrightarrow \: f {}^{ - 1}(x) = 2x- 3[/tex]
C.) Find [tex]{ \sf {f}^{-1}(12) } [/tex] :
[tex]\qquad \sf \dashrightarrow \: f {}^{ - 1}(12) = 2(12)- 3[/tex]
[tex]\qquad \sf \dashrightarrow \: f {}^{ - 1}(12) = 36- 3[/tex]
[tex]\qquad \sf \dashrightarrow \: f {}^{ - 1}(12) = 33[/tex]
use pescals triangle to completely expand (3x-1)^4
The Pascal's Triangle expansion of (3 x-1)^4 is mathematically given as
[tex]$$\begin{aligned}&1(3 x)^4(-1)^0+4(3 x)^3(-1)^1 +6(3 x)^2(-1)^2+4(3 x)^1(-1)^3 +1(3 x)^0(-1)^4\end{aligned}$$[/tex]
This is further explained below.
What is Pascal's Triangle of (3 x-1)^4?Generally, the equation for the expansion is mathematically given as
(3 x-1)^4
Pascal's Triangle can be displayed as such:
1
1-1
1-2-1
1-3-3-1
1-4-6-4-1
The triangle can be used to calculate the coefficients of the expansion of (a+b)^n by taking the exponent n and adding 1 .
The coefficients will correspond with line n+1 of the triangle.
For (3 x-1)^4, n=4 so the coefficients of the expansion will correspond with line 5.
The expansion follows the rule
(a+b)^n=c_0 a^n b^0+c_1 a^{n-1} b^1+c_{n-1} a^1 b^{n-1}+c_n a^0 b^n
The values of the coefficients, from the triangle, are $-4-6-4-1.
[tex]$1 a^4 b^0+4 a^3 b+6 a^2 b^2+4 a b^3+1 a^0 b^4$[/tex]
Substitute the actual values of a 3 x and b-1 into the expression.
[tex]$$\begin{aligned}&1(3 x)^4(-1)^0+4(3 x)^3(-1)^1 +6(3 x)^2(-1)^2+4(3 x)^1(-1)^3 +1(3 x)^0(-1)^4\end{aligned}$$[/tex]
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To rent a certain meeting room, a college charges a reservation fee of $19 and an additional fee of $4 per hour. The chemistry club wants to spend at most $59 on renting the room. What are the possible numbers of hours the chemistry club could rent the meeting room? Use t for the number of hours. Write your answer as an inequality solved for t.
The set of numbers which represents the possible number of hours for which the chemistry club could rent the meeting room is; t <= 10 hours.
What is the possible number of hours for which the chemistry club could rent the meeting room?It follows from the task content that the possible number of hours for which the chemistry club could rent the meeting room is to be determined.
Since the linear inequality which represents the situation in discuss can be written as follows;
4(t) +19 <= 59
where t = number of hours.
Solving the inequality, we have;
4t <= 59 - 19
4t <= 40
t <= 10 hours.
Ultimately, The set of numbers which represents the possible number of hours for which the chemistry club could rent the meeting room is; t <= 10 hours.
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help with this pls explain how to calculate this in a calculator for brainliest
Answer:
Step-by-step explanation:
A boy who is 6 feet tall casts a shadow 3
feet long. A tree that he is standing beside
casts a shadow 15 feet long.
SIL.
3 ft
15 ft
What is the height of the tree?
Answer in units of ft.
Answer:
30
Step-by-step explanation:
We can use similar triangles. Letting the height of the tree be x,
[tex]\frac{x}{15}=\frac{6}{3} \\ \\ x=30[/tex]