Answer:
The systems of equation for the amount spent are as follows
[tex]Y= 0.99x+5[/tex]
[tex]Y= 0.79x+10[/tex]
Step-by-step explanation:
In this problem we are expect to give a model or an equation that represents the amount of money spent per month given a fix subscription amount and a variable fee which is based on extra minutes spent.
let Y represent the amount of money spent in total for the month
The first case:
Subscription =$5
charges per minutes = $0.99
therefore the amount spent can be modeled as
[tex]Y= 0.99x+5[/tex]
The second case:
Subscription =$10
charges per minutes = $0.79
therefore the amount spent can be modeled as
[tex]Y= 0.79x+10[/tex]
Translate the phrase into an algebraic expression. The product of 3 and w
(09.05)
Compare the functions shown below.
Which function has the greatest maximum y-value?
a. f(x)
b.g(x)
c.g(x) and h(x)
d.f(x) and h(x)
Answer:
a.
Step-by-step explanation:
f(x) has the highest or greatest maximum y value of 3
(-6127) + _____. = (-6127)
(+18) + _____ = (+20)
(+27) - ____ = (+20)
(+63) + _____= (+50)
(+21) - _____ = (+17)
Answer:
(-6127) + 0 = (-6127)
(+18) + 2 = (+20)
(+27) - 7 = (+20)
(+63) + (-13) = (+50)
(+21) - 4 = (+17)
Step-by-step explanation:
3. What is the length of LM?
Answer:
24[tex]\sqrt{3}[/tex]
Step-by-step explanation:
KML is a special right triangle with angle measures of 90-60-30 and side lengths represented by 2a-a[tex]\sqrt{3}[/tex]-a
|KL| is given as 48 so 2a = 48 and a = 24
ML is the side length that sees angle measure 60 so it's represented with a[tex]\sqrt{3}[/tex]
since a = 24
a[tex]\sqrt{3}[/tex] = 24[tex]\sqrt{3}[/tex]
After a 15% increase January receives a new salary of R23000. What was his salary before the increase
Answer:
His salory before Increse is 17250
Jun made a round tablecloth for his kitchen table. The tablecloth is 4.5 feet in diameter. Approximately how much fabric did Jun use for the tablecloth?
Answer:
the correct answer is 16ft^2
ANSWER ASAP THANK youuu
Answer:
A
Step-by-step explanation:
● -7x > 21
Divide both sides by 7
● -7x/7 > 21/7
● -x > 3
Multiply both sides by -1 and switch the sign since you have multiplied by a negative number.
● x < -3
The representation is A since -3 is represented by an empty dot ○ wich means it's out the solutions
The solution to the given inequality -7x/7 > 21/7 is x < -3 which is the correct answer that would be option (A).
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The inequality is given in the question
⇒ -7x > 21
Divide both sides by 7 both sides of the above inequality
⇒ -7x/7 > 21/7
⇒ -x > 3
Multiply both sides by -1 and because we multiplied by a negative quantity, flip the sign.
⇒ x < -3
The representation is A because -3 is represented by an empty dot which shows the solution of the graph.
The required graph has been attached which represents the solution to the given inequality -7x/7 > 21/7 is x < -3
Hence, the correct answer would be an option (A).
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100 Points!! Pls answer ASAP, short explanation as well. Thx!
Answer:
2/3 x [tex]\sqrt[4]{y^2}[/tex]
Step-by-step explanation:
( 16 x^11 y^8 / 81 x^7 y^6) ^ ( 1/4)
Simplify the expression inside the parentheses
Rewriting the constant
16/81 = 2^4 / 3^4 = (2/3) ^4
Next the x terms
x^11 / x^7
We know that a^b / a^x = a^ ( b-c)
x^ (11-7) = x^4
And finally the y term
y^8/ y^6 = y^( 8-6) = y^2
( (2/3) ^4 x^4 y^2) ^ ( 1/4)
We know that (ab) ^ c = a^ c * b^c
(2/3) ^4 ^ 1/4 ( x^4 ^ 1/4 ( y^2) ^ ( 1/4)
We know that a^ b^ c = a^ ( b*c)
(2/3) ^4 ^ 1/4 ( x^4 ^ 1/4 ( y^2) ^ ( 1/4)
( 2/3) ^ ( 4*1/4) * x^ ( 4*1/4) * y ^ ( 2 ^ 1/4)
2/3 * x * y ^ 2/4
2/3x y ^ 2/4
2/3 x [tex]\sqrt[4]{y^2}[/tex]
━━━━━━━☆☆━━━━━━━
▹ Answer
See below for attached work.
▹ Step-by-Step Explanation
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART
PLEASE GIVE EXPLANATION
Answer:
Second option
Step-by-step explanation:
The cosine function is represented in the graph. that eliminates two options. The period of the function can be calculated by finding the value of b, and then the wavelength. This eliminates the first option, because the period in the graph is pi. 2nd option is correct
odd numbers are closed under addition?
true or false
Answer:
true
Step-by-step explanation:
i think it's helping you... please reply me correct or no
y-3x=13 solve for y ♀️
Answer:
y = 3x+13
Step-by-step explanation:
y-3x=13
Add 3x to each side
y-3x+3x=3x+13
y = 3x+13
The value of y for the given equation y - 3x = 13 is calculated to be y = 3x + 13.
Given that:
y - 3x = 13
It is required to find the value of y.
In order to find the value of y, the equation has to be solved in such a way that y has to be kept on one side.
Consider:
y - 3x = 13
Add 3x on both sides.
y - 3x + 3x = 13 + 3x
y = 13 + 3x
Hence, the value of y is 13 + 3x.
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Hassan drove 78 miles in 1ị hours. If he drove at a constant rate, how far did he
travel in one hour? Enter your answer as a whole number, proper fraction, or mixed
number in simplest form.
Answer:
1 1/3 hours
Step-by-step explanation:
I took the same test
Find the distance across the lake. Assume the triangles are similar.
85 m
X
у
20 m
60 m
Answer:
B. 255 m
Step-by-step explanation:
use similar triangle
L / 60 = 85 / 20
L = (85 * 60) / 20
L = 255 m
The distance across the lake will be 255 meters. Then the correct option is B.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
If the two triangles are similar, the ratio of the corresponding sides will be constant.
In an isosceles triangle, two angles and their opposite sides are equal.
The dimensions of the first triangle are L, 85, and y. And the dimensions of the second triangle are 60, 20, and x.
It is given that the triangles are similar.
Then the ratio of their corresponding sides will be
L / 60 = 85 / 20 = x / y
From first two terms, then the equation will be
L / 60 = 85 / 20
L / 60 = 4.25
L = 4.25 x 60
L = 255 m
The distance across the lake will be 255 meters.
Then the correct option is B.
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chose the equivelent expresion 5⁶ a.(5⁴)² b.(5⁻²)⁻³ c.(5¹)⁵
Answer:
[tex]\Large \boxed{(5^{-2})^{-3}}[/tex]
Step-by-step explanation:
Applying the law of exponents : [tex](a^b)^c=a^{bc}[/tex]
[tex](5^4)^2 = 5^{4 \times 2} = 5^{8}[/tex]
[tex](5^{-2})^{-3}=5^{-2 \times -3}=5^6[/tex]
[tex](5^1)^5 =5^{1 \times 5}=5^5[/tex]
Answer:
[tex]\huge\boxed{Option \ B}[/tex]
Step-by-step explanation:
[tex]5^6[/tex] is equivalent to
=> [tex](5^4)^2 = 5^{4*2} = 5^ 8[/tex]
=> [tex](5^{-2})^{-3} = 5^{-2*-3} = 5^6[/tex] ← Correct
=> [tex](5^1)^5 = 5^{1*5} = 5^5[/tex]
What is the solution of −83 = b4? A. b = –332 B. b = –87 C. b = –79 D. b = –20.75
Answer:
D; b = -20.75
Step-by-step explanation:
Here in this question, we want to find solution to the given linear equation.
The linear equation is;
-83 = b4
Now, to find the value of b, we will need to divide both sides by its coefficient.
Looking at the question, the coefficient of b is 4
Mathematically, that would be :
-83/4 = b4/4
b = -83/4
b = -20.75
Answer:
b = -20.75
Step-by-step explanation:
Given:
-83 = b4
It can also be written as
-83 = 4b
divide both sides by the coefficient of b which is 4
-83 / 4 = 4b / 4
-20.75 = b
Therefore,
b = -20.75
Check:
-83 = b4
-83 = -20.75(4)
-83 = -83
Use the concept of slope to find t such that the three points are collinear. (-8,5) (0,t) (2,-1)
Answer:
t = [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Since the points are collinear they lie on the same line.
Thus the slopes between any of the 3 points are equal.
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 8, 5) and (x₂, y₂ ) = (2, - 1)
m = [tex]\frac{-1-5}{2+8}[/tex] = [tex]\frac{-6}{10}[/tex] = - [tex]\frac{3}{5}[/tex]
Repeat using
(x₁, y₁ ) = (- 8, 5 ) and (x₂, y₂ ) = (0, t) and equate to previous m
m = [tex]\frac{t-5}{0+8}[/tex] = [tex]\frac{t-5}{8}[/tex] = - [tex]\frac{3}{5}[/tex] ( cross- multiply )
5(t - 5) = - 24 , that is
5t - 25 = - 24 ( add 25 to both sides )
5t = 1 ( divide both sides by 5 )
t = [tex]\frac{1}{5}[/tex]
A group of 22 students participated in a math competition
Choose which is a statistical question: What are
the ages of the students in this class? or How
many pennies equal 1 dollar? Explain.
The statistical question is; "What are the ages of the students in this class?
What is a statistical question?A statistical question is always aimed at data collection which can subsequently used for analysis and decision making. Statistical questions are asked in the course of research.
Among the two questions, the statistical question is; "What are the ages of the students in this class?
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Helppp 100pts
A television network is about to telecast a new television show. Before a show is launched, the network airs a pilot episode and receives a report assessing favorable or unfavorable viewer response. In the past, 60% of the network's shows have received a favorable response from viewers, and 40% have received an unfavorable response. If 50% of the network’s shows have received a favorable response and have been successful, and 30% of the network’s shows have received an unfavorable response and have been successful, what is the probability that this new show will be successful if it receives a favorable response? A. 0.41 B. 0.53 C. 0.67 D. 0.70 E. 0.83
Answer:
.83
Step-by-step explanation:
If you take 100 shows 60 shows got favorable response and in that 50 shows were successful.
So probability for a show to be successful if it got a favorable response is = 50/60 = 0.83
Answer:
Ty for the free points
Step-by-step explanation:
✊✊✊
4(x—8)+10= -10
What is the solution to this equation?
how many are 2 raised to 2 ???
Answer:
[tex]\huge \boxed{4}[/tex]
Step-by-step explanation:
2 raised to 2 is also the base 2 with an exponent of 2.
[tex]2^2[/tex]
2 is squared or multiplied by itself.
[tex]2^2 =2 \times 2 = 4[/tex]
EXAMPLE 10 Show that the points (a, a),(-a, - a) and (-3a, 3a) are the vertices of an equilateral triangle. Also find its area.
Answer:
The triangle is not equilateral.
Step-by-step explanation:
Distance formula:
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Distance from (a, a) to (-a, -a):
[tex] d_1 = \sqrt{(-a - a)^2 + (-a - a)^2} [/tex]
[tex] d_1 = \sqrt{(-2a)^2 + (-2a)^2} [/tex]
[tex] d_1 = \sqrt{8a^2} [/tex]
Distance from (-a, -a) to (-3a, 3a):
[tex] d_2 = \sqrt{(-3a - (-a))^2 + (3a - (-a))^2} [/tex]
[tex] d_2 = \sqrt{(-2a)^2 + (4a)^2} [/tex]
[tex] d_2 = \sqrt{20a^2} [/tex]
Distance from (-3a, 3a) to (a, a):
[tex]d_3 = \sqrt{(-3a - a)^2 + (3a - a)^2}[/tex]
[tex]d_3 = \sqrt{(-4a)^2 + (2a)^2}[/tex]
[tex]d_3 = \sqrt{20a^2}[/tex]
The three sides do not have the same length, so the triangle is not equilateral.
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 11, 7, 3, ... This is_ sequence and the _ is equal to_
the sequence is arithmetic because it's incrementing by a constant ratio of -4
The sequence 11,7,3,... is arithmetic because there is a constant increase of (-4)
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bruce and krista are going to buy a new furniture set for their living room. they want to buy a couch, a coffee table, and a recliner. they have narrowed it down so that they are choosing between 4 couches, 5 coffee tables, and 9 recliners. how many different furniture combinations are possible? PLEASE ANSWER
Answer:
180
Step-by-step explanation:
This is becuase 4*5*9 is equal to 180, to find the total number of combinations, you multiply how many of each there are.
You are looking at your powwr bill for the month, you pay 11 cents per kilowatt hour. your power bill came out to $73.54. how many KWH of energy were used in your house this month?
Find the sum of the first five terms of the G.p 2,6,8..
Point E is on line segment DF. Given DE=9 and DF=11, determine the length EF.
Answer:
EF = 2 units
Step-by-step explanation:
Given:
Line segment DF and point E on it.
DF = 11 unit
DE = 9 Unit
Find:
EF
Computation:
We know that,
DF = DE + EF
11 = 9 + EF
EF = 11-9
EF = 2 units
In comparing two distributions, which attribute would you not compare?
A. Shape
B. Center
C. Marginal frequency
D. Spread
Answer:
The correct option is;
C. Marginal frequency
Step-by-step explanation:
The objective of comparison of two distributions is to check the significant difference from each other
The general measures used to compare the difference between distributions are the measures of centers such as the mean, the measures of spread such as the standard deviation and the shape of the compared distribution curves
Marginal frequencies are the values found in the total row and total column portion of a two way frequency distribution table
The marginal frequency is used to calculate the marginal relative frequency
The values of the marginal frequency, which is a sum, does not characterize the details of a distribution to a large extent.
Answer:
C. Marginal frequency
Step-by-step explanation:
Solve for x.
13(x-3) = 39
x=1
x=4
x=6
x= 10
Answer:
x=6
Step-by-step explanation:
13(x-3) = 39
Divide each side by 13
13/13(x-3) = 39/13
x-3 = 3
Add 3 to each side
x-3+3 = 3+3
x = 6
Answer:
x=6 ,is right.
6-3=3&multiply 13=39
so answer is x=6
mark brainleast plz
Jill has 120 feet of fencing to use for her horse paddock. To increase the area she can enclose, she plans on using the side of the barn as one side of her paddock as shown below. Determine which equation can be used to find the dimensions of the horse paddock when the area is 1,800 square feet. Let x represent the width of the paddock.
Answer:
D) -2x²+120=1800
Step-by-step explanation:
area=l*w
the area is 1800 (given)
the length is x (given)
the width would be 120-2x (120 feet of fencing minus the two lengths)
SO
1800=(x)(120-2x)
1800=120x-2x²
1800=-2x²+120
-2x²+120=1800
So the answer is D
The equation representing the area of the horse paddock is -2x² + 120x = 1800. The correct option is (D).
What is a rectangle?A rectangle is a type of parallelogram having equal diagonals.
All the interior angles of a rectangle are equal to the right angle.
The area of a rectangle can be found by taking the product of its length and breadth.
Given that,
The total length of the fence is 120 feet.
And, the area enclosed is 1800 square feet.
As per the given question, the expression for the length of fence is as below,
2x + l = 120
=> l = 120 - 2x
Since the horse paddock is in the shape of a rectangle, its area can be written as,
x(120 - 2x) = 1800
=> 120x - 2x² = 1800
=> -2x² + 120x = 1800
Hence, the equation that can be used to find the dimensions of the horse paddock is given as -2x² + 120x = 1800.
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