Answer:
Step-by-step explanation:
The total amount of hours worked at the shopwell is 12.75 (3.5+3+2.75+3.5).
12 hours of work= 153
.75 = 3/4 = 45 minutes= 162.5625 or 162.6
The total amount of hours worked babysitting = 13.5
13.5 times 7.5=101.25
Money earned= 263.8125
10% of 263.8125 = .1 x 263.8125= 26.38125
Money donated= 26.38125
Money saved= money earned- money donated.
Money saved= 263.8125-26.38125
Money saved = 237.43125
Answer:
A
B
D
Step-by-step explanation:
What is the inverse of the function f(x)= 1/4x-12
Answer:
The inverse is 4x+48
Step-by-step explanation:
y = 1/4x - 12
Exchange x and y
Solve for y
x = 1/4y -12
Add 12 to each side
x+12 = 1/4 y -12+12
x+12 = 1/4y
Multiply each side by 4
4(x+12) = 4*1/4y
4x+48 = y
The inverse is 4x+48
Answer:
4x + 48
Step-by-step explanation:
f(x) = 1/4x-12
y = 1/4x - 12
Switch variables.
x = 1/4y - 12
Solve for y.
x = 1/4y - 12
Add 12 on both sides.
x + 12 = 1/4y - 12 + 12
x + 12 = 1/4y
Multiply both sides by 4/1.
4/1(x + 12) = 1/4y × 4/1
4x + 48 = y
Find the solution(s) to 22 +57-3 = 0. Check all that apply.
DAX=3
O B x=-3
O x=2
Ex=-
SU
Answer:
x = -3 and x = 1/2
Step-by-step explanation:
To find the solutions to
2x² + 5x - 3 = 0
we can use the quadratic formula, as follows:
[tex] x = \frac{-b \pm \sqrt{b^2- 4(a)(c)}}{2(a)} [/tex]
[tex] x = \frac{-5 \pm \sqrt{5^2- 4(2)(-3)}}{2(2)} [/tex]
[tex] x = \frac{-5 \pm 7}{4} [/tex]
[tex] x_1 = \frac{-5 + 7}{4} [/tex]
[tex] x_1 = 0.5 [/tex]
[tex] x_2 = \frac{-5 - 7}{4} [/tex]
[tex] x_2 = -3 [/tex]
Please help me find the surface area please?????
Answer: 4032 squared feet
Step-by-step explanation:
1. Identify the figure. Rectangular Pyramid
2. Find the area of the four triangle faces. 1/2*47*32 = 752. Then, 752*4 = 3008.
3. Find the area of the rectangular base. 32*32 = 1024
4. Add the areas together, 3008+1024 = 4032
Please help me for precalculus ):
Answer:
The correct answer would be D.
Step-by-step explanation:
given that (-3 3) is on the graph of f(x) find the corresponding point for the function f(x+1)
Answer:
(-3, 4).
Step-by-step explanation:
When f(x) becomes f(x + 1), all that is happening is that the y-value increases by 1.
So, (-3, 3) becomes (-3, 3 + 1). That is (-3, 4).
Hope this helps!
Answer:
(-2, 3)
Step-by-step explanation:
Find f(x + 1) by adding 1 to the x-coordinate -3 of (-3, 3): (-2, 3)
Solve equation by using the quadratic formula.
15x2 + 13x = 0
13
x = -—,0
15
a.
C.
13
x= —.0
15
b. x=0
d.
13
x=+—
15
Answer:
Step-by-step explanation:
Here the coefficients of the x terms in this quadratic are a = 15, b = 13 and c = 0. The discriminant is b^2 - 4ac, or 13^2 - 4(15)(0) = 169 - 60, or 109.
The solutions are:
-13 ± √109
x = -----------------
30
Hence, the roots of the quadratic equation is
[tex]x=0,x=-\frac{13}{15}[/tex]
What is the quadratic equation?
A quadratic equation is any equation that can be rearranged in standard form as + or offer insight into other areas of mathematics.
Here given equation is [tex]15x^2+13x=0[/tex].
As the general formula is
[tex]x=\frac{-b+-\sqrt{b^2-4ac}}{2a}\\\\[/tex]
Here, [tex]a=15,b=13[/tex]
Substituting these values in general formula
[tex]x=\frac{-13+-\sqrt{(13)^2-4(15)(0)}}{2(15)}\\\\x=\frac{-13+-\sqrt{169-0}}{30}\\\\x=\frac{-13+-\sqrt{169}}{30}\\\\x=\frac{-13+-13}{30}\\\\\\x=\frac{-13-13}{30},x=\frac{-13+13}{30}\\\\x=\frac{-26}{30},x=0\\\\x=\frac{-13}{15},x=0[/tex]
Hence, the roots of the quadratic equation is
[tex]x=0,x=-\frac{13}{15}[/tex]
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310
Which law would you use to simplify the expression
quotient of powers
power of a quotient
product of powers
power of a product
power of a quotient
edge 2021
The law used to simplify the expression is quotient of powers.
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is an expression, 3¹⁰ / 3⁴, we need to determine the law used to simply the expression,
3¹⁰ / 3⁴
For this case we have an expression formed by a division of powers of the same base in which we must apply a law to simplify said expression.
By the definition we have the property of the power quotient of the same base set:
xᵃ / xᵇ = x⁽ᵃ⁻ᵇ⁾
So, using the same,
3¹⁰ / 3⁴ = 3⁽¹⁰⁻⁴⁾ = 3⁶
Thus, to simplify the expression we must use the property of the power quotient of the same base.
Hence, the law used to simplify the expression is quotient of powers.
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. The perimeter of a rectangle is 38 inches. If the length is 3 inches more than the width, find the width.
Answer:
w = 8 inchesStep-by-step explanation:
P = 2w + 2l
l = 3 + w
38 = 2w + 2(3 + w)
38 = 2w + 6 + 2w
38 - 6 = 4w
32 = 4w
w = 32 : 4
w = 8 inches
l = 3 + w
l = 3inches + 8inches
l = 11 inches
Standing on the roof of her apartment building, the top of Carla’s head is 15 yards above the ground.
She spots a curb 20 yards from the base of the building. What is the height of the flagpole?
Answer:
9 yards.
Step-by-step explanation:
We would solve for this using proportion
Top of Carla's head / Distance of the curb from the building = Height of the flag/ distance of the flag to the building
Top of Carla's head = 15 yards
Distance of the curb from the building = 20 yards
Height of the flag pole = unknown = X
Distance of the flag from the building = 12 yards
Hence,
15/ 20 = X/12
Cross Multiply
20 × X = 15 × 12
20X = 180
X = 180/20
X = 9
Therefore, the height of the flag pole = 9yards
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HELP FAST
Figure ABCD is a parallelogram.
What is the value of x?
A
B
6
7
5x + 3
8
38
9
D
с
Answer:
hope it helps uh.......
Solve the following system of equations. x+y+8z=16 2x+7z=19 4x-4y+4z=4
What is the surface area of the right prism below?
O A. 120 sq. units
O B. 146 sq. units
O C. 150 sq. units
O D. 156 sq. units
The surface area of the right prism is 156 sq. units, Option D is correct.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The formula for finding the surface area is the same for all right prisms and is:
Surface area = 2B + hP.
Where B is area , h is height and P is perimeter
Base= 4 x 12= 48
Triangles= 3 x 4= 12
Side of the prism= 3 x 12= 36
9+16= √25 = 5
Now let us add the area of each face of the prism
= 48+ 12+ 36+ 60
=156 cm²
Hence, the surface area of the right prism is 156 sq. units, Option D is correct.
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Oliwia made a scaled copy of the following triangle. She used a scale factor greater than 111. What could be the height of the scaled copy of the triangle? Choose 3 answers: (A) 3 1/3 units (B) 10.5 units (C) 11.1 units (D) 18 units (E) 35 1/2 units
Answer:
C & D & E
Step-by-step explanation:
The correct options are C, D, and E.
Scaled copyA scaled copy is an enlarged image of the previously given figure.
Scale factorA scale factor is a factor by which the image is been enlarged. for example, the scale factor of 10 means each side will be multiplied by 10, resulting in a figure that is 10 times the real figure.
As given in the problem the scale factor is anything greater than 1.
We know that when we multiply 11 by 1 or a number greater than 1 the value will be the same or changed.
Therefore, the height of the scaled copy of the triangle will be anything equal to 11 or greater than 11.
Looking at the options available,
(A) 3 1/3 units
It is less than 11, therefore, not the right option.
(B) 10.5 units
It is less than 11, therefore, not the right option.
(C) 11.1 units
It is greater than 11, therefore, can be the possible option.
(D) 18 units
It is greater than 11, therefore, can be the possible option.
(E) 35 1/2 units
It is greater than 11, therefore, can be the possible option.
Thus, the correct options are C, D, and E.
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Choose the word that has the same connotation as the word fouled
Answer:
contaminated
Step-by-step explanation:
The word fouled is used in the "The grapes of wrath"
where in writer says that "the water fouled the ignition wire and water fouled the carburetors".
In this context fouled means that some impurity is being added to the carburetor and wire frames.
Hence the best suitable word from the option will be "contaminated".
Contamination means " the act of making anything impure "
Which statement about the function is true?
The graph of the function f(x) = (x - 4)(x + 1) is shown
below.
The function is increasing for all real values of x
where
x<0.
O The function is increasing for all real values of x
where
x < -1 and where x>4
6
4-
2
O The function is decreasing for all real values of x
where
-1<x<4.
The function is decreasing for all real values of x
where
x < 1.5.
2
4
6
-6-4-2
-2
X
27
4
6
Answer:
The correct option is:
The function is decreasing for all real values of x where x < 1.5.
Step-by-step explanation:
We are given a function f(x) which is a product of two linear polynomial as:
Now, we know that on multiplying the two linear polynomial we will obtain a quadratic polynomial.
So, the function f(x) will be represented as:
So, we will plot the graph of the function and check which statements about the function hold true.
1)
The function is increasing for all real values of x where x < 0.
This statement is false.
Since we get from the graph that function f(x) is decreasing for x<0.
2)
The function is increasing for all real values of x where x < –1 and where x > 4.
This option is incorrect as the function is decreasing for x<-1
whereas it is increasing for x>4.
3)
The function is decreasing for all real values of x where –1 < x < 4.
This option is incorrect.
Since, the function is both decreasing as well as increasing in the interval (-1,4).
4)
The function is decreasing for all real values of x where x < 1.5.
This option is correct.
Since it could be observed from the graph that the function is decreasing for x<1.5.
Find the y-intercept and x-intercept of the line.
-x+4y = 8
Answer:
x-intercept(s): ( − 8 , 0 )
y-intercept(s): ( 0 , 2 )
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x . To find the y-intercept, substitute in 0 for x and solve for y.
PLSSSSS HELP!!
The graph below shows the price of different numbers of mats at a store: A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 21, 42, 63, 84, and 105. Points are shown on ordered pairs 0, 0 and 2, 21 and 4, 42 and 6, 63 and 8, 84. These points are connected by a line. The label on the x axis is Number of Mats. The title on the y axis is Price in dollars. Which equation can be used to determine p, the cost of b mats? p = 10.50 + b b = 10.50 + p b = 10.50p p = 10.50b
Answer:
p = 10.5b
Step-by-step explanation:
The equation has this form:
y = ax+c
a = [tex]\frac{21-0}{2-0}[/tex] a = 21/2 a= 10.5so the slope is 10.5
c is the y-intercept wich is given by the output of 0
here it's 0
0⇒0so the equation is y = 10.5x ⇒ p=10.5b
Answer:
P=10.5b
Step-by-step explanation:
On a coordinate plane, a curved line with minimum values of (negative 1.5, negative 2) and (1.5, 2), and a maximum value of (0, 4), crosses the x-axis at (negative 2, 0), (negative 1, 0), (1, 0), and (2, 0), and crosses the y-axis at (0, 4). Which is an x-intercept of the graphed function?
Answer:
(-2, 0), (-1, 0), (1, 0), (2, 0)
Step-by-step explanation:
The x-intercept of function can be defined as the values of x at which the graph of the function intercepts the x-axis, or where the values of the function, y, is equals to zero.
As it is already given that the graph crosses x-axis at points (-2, 0), (-1, 0), (1, 0), and (2, 0), and as we know that the point where the graph crosses x-axis has the value of the function equal to zero, so the x-intercepts of the given function are (-2, 0), (-1, 0), (1, 0), and (2, 0)
Answer:
(–3, 0) and (1,0)
Step-by-step explanation:
on edge
5.
Solve the inequality.
9 +6 > 5
9 > 11
g > 1
g> -1
Answer: g> -1
Step-by-step explanation:
The given inequality is [tex]g+6>5\ .[/tex]
To solve the above inequality for g, we just need to remove 6 from the left side by subtracting it, for that we have to subtract 6 from both the sides, we get
[tex]g+6-6>5-6\\\\\Rightarrow\ g>-1[/tex]
i.e. The value of g is strictly greater than -1.
Hence, the correct answer is g> -1.
Subtraction Property of Inequality says that if the same number is subtracted from both sides on the inequality then the sense (equality symbol) of the inequality remains unchanged.
approximately 13% of the USA population is left handed. Hiw many lefties would expect in a school of 420 students
Answer:
Approximately 55 students
Step-by-step explanation:
13% of 420 is 54.6 which you can then round up to 55
Hope this helped!
Answer:
55 students
Step-by-step explanation:
Take the percent and multiply by the number of students
13% * 420
.13 * 420
54.6
Rounding up
55 students
A grid map marks the plot of Harold’s garden in meters. The coordinates of the quadrilateral-shaped property are G(–8, 3), A(4, 8), R(10, 0), and D(–2, –5). He wants to build a short fence around the garden. The perimeter of his garden is meters.
Answer: 46
Step-by-step explanation:
Given that the coordinates of the quadrilateral-shaped property are G(–8, 3), A(4, 8), R(10, 0), and D(–2, –5).
You need to find length GA, GD, RA and RD by using the formula
L = sqrt[ ( X2 - X1)^2 + ( Y2 -Y1 )^2 ]
Length GA will be
L = sqrt [ ( 8-3 )^2 + ( 4+8 )^2 ]
L = sqrt ( 5^2 + 12^2 )
L = sqrt(25 + 144)
L = sqrt (169)
L = 13.
Length GD will be
L = sqrt [ ( -5-3 )^2 + ( -2+8 )^2 ]
L = sqrt ( -8^2 + 6^2 )
L = sqrt(64 + 36)
L = sqrt (100)
L = 10.
Length RA will be
L = sqrt [ ( 10-4 )^2 + ( 0-8 )^2 ]
L = sqrt ( 6^2 + 8^2 )
L = sqrt(36 + 64)
L = sqrt (100)
L = 10.
Length RD will be
L = sqrt [ ( 10+2 )^2 + ( 0+5 )^2 ]
L = sqrt ( 12^2 + 5^2 )
L = sqrt(144 + 25)
L = sqrt (169)
L = 13.
The perimeter P will be
Substitute all the parameters into the formula below
P = GA + GD + RA + RD
P = 13 + 10 + 10 + 13
P = 46
Image attached: Triangle measurement Theorem
Answer:
17
Step-by-step explanation:
Using Triangle Midsegment theorem, it states that if :
Q is the midpoint of MN and R is the midpoint of NP
Then, QR is parallel to MP and QR = 1/2 of MP
Mathematically
QR = 1/2MP
From the above question, we are given the following values:
QR = 3x - 4
MP = 55 - 3x
Since
QR = 1/2MP
3x - 4 = 1/2(55 - 3x)
3x - 4 = 55/2 - 3x/2
Collect like terms
3x + 3x/ 2 = 55/2 + 4
9x/ 2 = 31.5
Cross Multiply
9x = 31.5 × 2
9x = 63
x = 63/9
x = 7
Since QR = 3x - 4
x = 7
QR = 3×7 - 4
= 21 - 4
= 17
Hence, QR = 17
Angelo cuts a piece of wood for a project. The first cut is shown and can be represented by the equation y - 5x-1. The second cut needs to be parallel to the first. It will pass through the point (0,6). Identify the equation that
represents Angelo's second cut.
PLEASE HELP!
Answer:
y=5x+6
Step-by-step explanation:
Please see attached
If a stretch of mountain road covers a horizontal distance of 0.5 mile and has a vertical drop of 200 feet, find the percent grade of the road and the length of the actual stretch of road.
Answer:
3x-x+2=4
Step-by-step explanation:
The % grade is: rise/run = 20/2640 = 0.76%
sqrt(20^2+2640^2) = sqrt(6970000) = 2640.1 feet is the length of the actual stretch of road, or 0.5 miles
What's true about a regular polygon?
Both the angles and sides are congruent.
None of these.
Only the sides are congruent.
Only the angles are congruent.
Answer:
Both the angles and sides are congruent.
Step-by-step explanation:
Regular polygons are considered to be equiangular and equilateral.
This means regular polygons have angles and sides that are all congruent.
Jalen and Monique will usually both run 7.5 miles each time they go running. This month, Jalen ran an additional 32 miles. Which answer choice shows an expression that represents the total distance Jalen and Monique ran this month if j = the number of times that Jalen ran and m = the number of times that Monique ran?
1 .15j + 15m
2. 15jm
3. 7.5j + 7.5m + 32
4. 7.5jm + 32
Answer:
Option 3.
Step-by-step explanation:
It is given that Jalen and Monique will usually both run 7.5 miles each time they go running.
Let,
j = the number of times that Jalen ran.
m = the number of times that Monique ran.
So, according to this
Distance covered by Jalen in this month = 7.5j
Total distance covered by Monique in this month = 7.5m
It is given that this month, Jalen ran an additional 32 miles.
Total distance covered by Jalen in this month = 7.5j +32
The total distance Jalen and Monique ran this month is
[tex]Distance=7.5j+7.5m+32[/tex]
Therefore, the correct option is 3.
Answer:
3. 7.5j + 7.5m + 32
Step-by-step explanation:
Will give you brainiest
Answer:
[tex]\boxed{<a = 62 degrees}[/tex]
[tex]\boxed{<b = 118 degrees}[/tex]
Step-by-step explanation:
A) If AB is a diameter, Then ACB is a 90 degrees angle because In a semi-circle (AB is a diameter which divides the circle into 2 equal parts), the angle opposite to the diameter is of 90 degrees.
So, <ACB = 90 degrees
Then <a = 180-90-28
=> <a = 62 degrees
B) The opposite interior angles of a quadrilateral inscribed in a circle add up to 180 degrees.
So,
=> <a + <b = 180
=> <b = 180-62
=> <b = 118 degrees
Which function has the same graph as x+y= 11?
A. Ax) = -y + 11
B.
Rx) = -x + 11
C.
A x) = x-11
D.
*x) = y- 11
Answer:
the answer is b= -x+11
Answer:b
Step-by-step explanation:
x2+6x+c what is the c value
Answer:
c = 9
Step-by-step explanation:
(a + b)² = a² + 2ab + b²
x² + 6x + c =
= x² + 2x·3 + c
2x·3 = 2a·b => √c = 3 => c = 3² => c = 9
Solve the geometric probability scenario that you created for question #1. Include all appropriate geometric formulas, and when applicable, leave your answer in terms of and include all necessary calculations.
Answer:
π/100
Step-by-step explanation:
"A baseball is hit inside a baseball diamond with a length and width of 90 feet each. What is the probability that the ball will bounce on the pitcher's mound, if the diameter of the mound is 18 feet? Assume that the ball is equally likely to bounce anywhere in the infield. When applicable, leave your answer in terms of π and include all necessary calculations."
The probability that the ball lands in the pitcher's mound is:
P = area of mound / area of field
P = πr² / s²
P = π (9)² / (90)²
P = π/100
If the diameter of the mound is 18 feet then the probability that the ball will bounce on the pitcher's mound will be π/100.
How to find the geometric probability?When probability is in terms of area or volume or length etc geometric amounts (when infinite points are there), we can use this definition:
E = favorable event
S = total sample space
Then:
[tex]P(E) = \dfrac{A(E)}{A(S)}[/tex]
where A(E) is the area/volume/length for event E, and similar for A(S).
The probability that the ball lands in the pitcher's mound is,
P = area of mound / area of field
P = πr² / s²
P = π (9)² / (90)²
P = π/100
Hence, the probability that the ball will bounce on the pitcher's mound will be π/100.
The complete quesiton is
"A baseball is hit inside a baseball diamond with a length and width of 90 feet each. What is the probability that the ball will bounce on the pitcher's mound, if the diameter of the mound is 18 feet? Assume that the ball is equally likely to bounce anywhere in the infield. When applicable, leave your answer in terms of π and include all necessary calculations."
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