Since Suzy return took 1/4 hr longer, how far Suzy travelled to her appointment is 50 mi
To answer the question, we need to know what distance travelled by Suzy is
Distance between Suzy's home and hair appointmentThe distance between Suzy and her appointment is d = vt where
v = Suzy's speed = 50 mph and t = time it takes to teach her appointment.So, d = 50t (1)
Now, since Suzy returns home at a speed of v' = 40 mph and takes her 1/4 hr longer to return home,her return time is , t' = (t + 1/4) h
Since the distance she ruturns home is the same, we also have that
d = v't'
= 40(t + 1/4) (2)
Equating (1) and (2), we have
50t = 40(t + 1/4)
50t = 40t + 10
50t - 40t = 10
10t = 10
t = 10/10
t = 1 hr
How far Suzy travelled to her appointmentSubstituting t = 1 into d = 50t, we have
d = 50(1)
d = 50 m
So, how far Suzy travelled to her appointment is 50 mi
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solve the equation by graphing y = -x2 + 9 Y= 2x+1
Answer:
Please read the explanation
Step-by-step explanation:
I recommend using desmos (search it as "desmos graphing calculator") as it is the most popular website students use to graph equations of almost all kind.
type in both equations, and I don't know if you're supposed to find the X intercepts or Y intercepts. but this website will save you!
Function g can be thought of as a translated (shifted) version of f(x) = x2.
Write the equation for g(2).
g(x)=
If the function f(x) is translated at a point (2, 6). Then the function g(x) will be given as g(x) = (x - 2)² + 6.
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Function g can be thought of as a translated (shifted) version of f(x) = x².
Then the equation of the function g(x) will be
g(x) = (x - 2)² + 6
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Please help me please
What is the value of x? put your answer as a decimal.
Answer:
It should be 58.6 if Im not mistaken. Im so sorry if I'm wrong.
Step-by-step explanation:
Find the volume of a bird seed box with the following dimensions:
h = 26 cm
W = 10 cm
I = 17.5 cm
A small ranch is 0.4 of an acre. There is 0.2 of the piece of land that is used for vegetable crops. What part of the land is used for
the vegetable crops?
A. 0.12 of an acre
B. 0.08 of an acre
C. 0.18 of an acre
D. 0.06 of an acre
I WILL MARK YOU AS BRAINLESS IF YOU PLEASE HELP ME!!
Answer:
Correct answer is B. 0.08
Step-by-step explanation:
Paul's mom gave him $25.00 on Monday morning to use on lunches. At his school, the school lunch costs $1.50, which he bought
Monday through Thursday. On Friday, he decided to buy 4 slices of pizza instead of buying the school lunch. If the pizza costs $1.60 per slice, then how much of the money is left at the end of the school week?
A. $18.80
B. $14.10
C. $12.60
D. $14.20
Answer:
C. $12.60
Step-by-step explanation:
he has $25.00 for the whole week
monday through thursday, or four days, he buys school lunch for $1.50
1.5 x 4 = 6
on friday, he buys 4 slices of pizza for $1.60 per slice
4 x 1.6 = 6.4
Expenses together:
6.4 + 6 = 12.4
Find what he has left:
25-12.4 = 12.6
C. $12.60
why x^2=16 and x^2=-16 do not have the same solution
Step-by-step explanation:
x^2 = 16
x = ±4
x^2 = -16
x = -
as a negative number cannot be squareroot
Geometry is so hard help me!
Answer:
x = 2√5
Step-by-step explanation:
Isosceles right angle triangles have two congruent sides ( for more reference , kindly check the attached image ) making it a special 45-45-90 degree triangle.
Special triangles have simple easy rules to help identify the lengths of the other sides lengths. For the 45-45-90 degree triangle, the hypotenuse (longest side) is equal to the value of the triangles leg(shorter sides) times √2 ( for more reference kindly check the other attached image )
Here, the value of the leg it equal to √10
If the value of the hypotenuse (x) = leg × √2
Then the value of x = √10 × √2
x = √10 × √2 = √(10 × 2) = √20
==> simplify radical
x = 2√5
Sarah makes a red hair bow using 21 4/5 inches of ribbon. She makes a purple hair bow using 18 1/4 inches of ribbon.
How much more ribbon is used to make the red hair bow than the purple hair bow?
Answer:
91/20 or 4 11/20
Step-by-step explanation:
First, convert the 2 amounts into improper fractions
Red: 21 4/5 = 114/5
Purple: 18 1/4 = 73/4
Then, using cross multiplication, you can give them the same denominator
Red: 114/5 = 456/20
Purple: 73/4 = 365/20
Then just subtract the numerators and keep the denominator
456/20 - 365/20 = 91/20
So your answer is
91/20 or 4 11/20
you take out a cash advance of
Answer:
$0
Step-by-step explanation:
Since there is no useful data in this question, we will fill in the blanks with what we know:
Amount of cash taken: $0
Therefore, you have taken a cash advance of $0
LOL
Which of the following is both a natural and manmade contributor to the greenhouse effect and warming of our planet?
A. Nuclear radiation
B. Atmospheric radiation
C. Nitrogen footprint
D. Carbon cycle
what is the slope intercept of 3x-2y=-16.
- - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
What is the slope-intercept form of 3x-2y=-16?
[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
✥ First, we need to subtract 3x on both sides, which results in
-2y=-16-3x
Or
-2y=-3x-16
[tex]\bigstar[/tex] Now, divide by -2 on both sides:-
[tex]\bold{(-2y):-2=(-3x-16):-2}[/tex]
On simplification,
[tex]\bold{y=\dfrac{3}{2} x+8}[/tex]
Good luck with your studies.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Find the perimeter of the figure to the nearest hundredth. perimeter: about cm
The perimeter of the figure to the nearest hundredth is 50.26 cm.
Perimeter of a figure.The perimeter of a figure is the sum of the whole sides of the figure.
The perimeter of the figure can be found as follows:
perimeter of the figure = 12 + 5 + 5 + circumference of the semi circle
circumference of the semi circle = πr
where
r = radiusperimeter of the figure = 22 + πr
perimeter of the figure = 22 + 3.14(9)
perimeter of the figure = 22 + 28.26
perimeter of the figure = 50.26 cm
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True or False.
arcsin (sin theta ) = theta for all theta
The answer is true, but I am looking for an explanation.
The statement is true because the arcsin function is defined to be the inverse of the sin function.
What are inverse functions?
For invertible function f(x) (this means that f(x) has an inverse) we define the inverse function g(x) such that:
f(g(x)) = x
g(f(x)) = x
Now, particularly for the sin function, arcsin is defined as the inverse function.
Then by definition, arcsin must meet the conditions:
arcsin(sin(x)) = xsin(arcsin(x)) = xSo the answer is true for the definition of the arcsin function.
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What number line represents the solution to the inequality below
-6< -2x
Answer:
The answer is 3 or x<3.
What is the value of x
Answer:
x = 24
Step-by-step explanation:
Sinθ = opposite side / hypotenuse
Sin30° = AB/BC
½ = 12/x
x = 12 × 2
x = 24
Answer:
x = 24
Step-by-step explanation:
SOH (Sin = Opposite/Hypotenuse)
CAH (Cos = Adjacent/Hypotenuse)
TOA (Tan = Oppositie/Adjacent)
The angle 30 degrees is given. The two values we have are 12 and x. 12 is opposite of the angle and x is on the hypotenuse of the triangle. Because we know this, we can plug those values into one of our formulas from earlier. This gives us the formula for sine.
Sin(30) = 12/x
Plug Sin(30) into your calculator. This gives you the value Sin(30) = 0.5
0.5 = 12/x
Multiply each side by x
0.5x = 12
Divide off 0.5 from both sides
x = 24
Which is the graph of Y=Vx-5-1
Answer:
^^
Step-by-step explanation:
Answer:
Slope: 1
y-intercept: (0, -6)
NEED HELP WITH SLOPE
take two points
(2,4)(-3,-3)Slope
m=y2-y1/x2-x1m=-3-4/-3-2m=-7/-5m=7/5Answer:
[tex]m=\dfrac{7}{5}[/tex]
Step-by-step explanation:
To find the slope of a line, find two points on the line and define them as follows:
[tex]\textsf{let}\:(x_1,y_1)=(-3,-3)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(2,4)[/tex]
Substitute the points in the slope formula and solve for m:
[tex]\begin{aligned}\textsf{slope}\:(m) & =\dfrac{y_2-y_1}{x_2-x_1}\\\\ & =\dfrac{4-(-3)}{2-(-3)}\\\\ & = \dfrac{4+3}{2+3}\\\\ & = \dfrac{7}{5}\end{aligned}[/tex]
Therefore, the slope of the given line is [tex]\dfrac{7}{5}[/tex]
XY is dilated by a scale factor of to form X'Y'. X'Y' measures 2. What
is the measure of XY?
Answer:
11
Step-by-step explanation:
if the other things are the XY and XY, then the other one needs to measure 11.
The figure below shows parallelograms ABCE, PQRS, and TNLM on a coordinate plane.
10
9
8
7
E
R
M
s
0
N
А
B
-10
.
The coordinates and relations between the points are:
· A(-3,-3); B(5,-3); C(5,5); E(-3,5)
Points S, P, Q, and R are midpoints of ABCE
T,N, Q, and M are midpoints of PQRS
Write the equation of line M L. Show your work.
.
From the graph, the coordinate of M and L will be (-1, 3) and (3, 3). Then the equation of the line ML will be y - 3 = 0.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
The figure below shows parallelograms ABCE, PQRS, and TNLM on a coordinate plane.
The coordinates and relations between the points are:
A(-3,-3), B(5,-3), C(5,5), and E(-3,5)
Then the equation of the line ML will be
From the graph, the coordinate of M will be (-1, 3) and the coordinate of L will be (3, 3).
Then the equation will be
[tex]\rm y- 3 = \dfrac{3-3}{3+1} (x - 3)\\\\y - 3 = 0[/tex]
Then the equation of the line ML will be y - 3 = 0.
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Which number does not belong with the other three?
Answer:
Option D
Step-by-step explanation:
Option D is not proper scientific notation, as the exponent is not on the 10
2. Start with the parent function for a square root function. Perform the following translations:
-reflect the graph over the x-axis
-move the graph to the left 2 units
-move the graph down 3 units
1) Sketch the original function and the shifted function on the same graph.
2) Write the equation of the shifted function.
Answer:
2/23
Step-by-step explanation:
PLEASE HELP !!!!!!
If a prism is placed into a basin of water (density: 32.5 lb/ft3) and displaces 3.7 pounds of water, what is the volume of the water that was displaced (in cubic inches)?
The volume of the water that was displaced will be equal to 0.06 cubic feet.
How are the density, volume, and mass of a substance-related?Suppose that a finite amount of substance is there having its properties as:
mass of substance = m kg
density of substance = d kg/m³
volume of that substance = v m³
Then, they are related as:
[tex]d = \dfrac{m}{v}[/tex]
If a prism is placed into a basin of water (density: 32.5 lb/ft3) and displaces 3.7 pounds of water, then the volume of the water that was displaced will be
We know that the density of the water is 62.4 pounds per cubic foot.
Then we get
3.7 = 62.4 × volume
Volume = 0.059
Volume ≅ 0.06 cubic-foot
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Step-by-step explanation:
' MLB
ML Ĺ
bryon yuuù 6553w2 wasmay what is this portion insulator used for
A family buys a studio apartment for $240,000. They pay a down payment of $48,000.
a. Their down payment is what percent of the purchase price?
b. What percent of the purchase price would an $84,000 down payment be?
a. The down payment is
(Type a whole number.)
% of the purchase price.
Answer:
A. 20% B. 35%
Step-by-step explanation:
a. (48,000 divided by 240,000) x 100 = 20
B. (84,000 divided by 240,000) x 100 = 35
The table displays the scores of students on a recent exam. Find the mean of the
scores to the nearest 10th.
Score Number of Students
65
5
70
6
75
8
80
2
85
9
90
1
95
6
100
3
Answer:
43.75, or 43.8 to the nearest 10th
Step-by-step explanation:
The mean is the mathematical average of a set of two or more numbers. Summing the numbers in a set and dividing by the total number gives you the arithmetic mean.
The total of your numbers is 700.
There are 16 numbers.
700 divided by 16 is 43.75
Subtract;
233.66-66.24
43.12-21.11
24.6-19.777
Answer:
1. 167.42
2. 22.01
3. 4.83
233.66-66.24 = 167.42
43.12-21.11 = 22.01
24.6-19.777 = 4.823
What is the volume of a rectangular prism with the dimensions: base 238 cm, height 113 cm, and length 334 cm?
Answer: 8,982,596 cm
Step-by-step explanation:
Rectangular Prism Volume = Height * Length * Width/base
238 cm * 113 cm * 334 cm = 8,982,596 cm
The diameter is 57 cm what is the radius and area write your solution below
Answer: radius: 28.5
area: 2551.76
Step-by-step explanation:
radius is always half of the diameter and area is pi(r^2)
What is the value of tan(60°)?
A
01
12
300
03
03
2.
В
60°
6
п
с
Answer:
√3 is the answer
Step-by-step explanation:
the value of tan60 is √3
