Answer:
-5f + 6
Step-by-step explanation:
combining like terms
-4f - f = -5f
-9 + 15 = 6
a ____ is when a parent function experiences either movement or alteration.
Answer:
transformation
Step-by-step explanation:
the ratio of the side length of square A to the side length of square B is 3 : 5. the perimeter of square B IS 60 feet. what is the area of square A?
Answer:
81 square ft
Step-by-step explanation:
square B has a site lenght of 15ft
therefore square must have one of 3/5 of 15 which is 9
the area is 9x9=81
FIRST ONE TO ANSWER GET'S A BRAINLIEST!!! PLZ HELP ME!!!
Solve for y, if x= -3
Equation: 2x-5y=4
Answer:
-2/5
Step-by-step explanation:
The number of people living in a country is increasing each year exponentially so that the number of people 5 years ago was 15,000. The number of people now is 26,000. What is the present population of the country? What equation can we use to describe the situation, if we let the growth rate be represented by r? Solve the equation for r. What is the growth rate? What will the population be 5 years from today?
Answer:
The present population of the country is 26,000.
[tex]y=a(1+r)^{x}[/tex]
The growth rate is approximately 12%.
The population 5 years from today will be 45,821.
Step-by-step explanation:
(1)
The present population of the country is 26,000.
(2)
It is provided that the number of people living in a country is increasing each year exponentially.
Then the exponential growth function can be used to describe the situation.
The exponential growth function is:
[tex]y=a(1+r)^{x}[/tex]
Here,
y = final value
a = initial value
r = growth rate
x = time
(3)
It is provided that x = 5 years ago the population was a = 15,000 and at present the population is y = 26,000.
Compute the value of r as follows:
[tex]y=a(1+r)^{x}[/tex]
[tex]26000=15000\times (1+r)^{5}[/tex]
[tex](1+r)=[\frac{26000}{15000}]^{1/5}[/tex]
[tex]1+r=1.1163[/tex]
[tex]r=0.1163\\r\approx 0.12[/tex]
Thus, the growth rate is approximately 12%.
(4)
Compute the population 5 years from today as follows:
[tex]y=a(1+r)^{x}[/tex]
[tex]=26000\times (1+0.12)^{5}\\\\=26000\times 1.762342\\\\=45820.892\\\\\approx 45821[/tex]
Thus, the population 5 years from today will be 45,821.
Solve the equation x=3y for y
Step-by-step explanation:
x-3y=3y-3y
x-3y=0
hope this helps
Answer:
____________________
y = x / 3
x over 3
____________________
Find Y
..............
Answer:
y = 40 / sqrt(pi)
Step-by-step explanation:
The area is 400
We want to find the diameter
400 = pi r^2
Divide each side by pi
400/ pi = r^2
Take the square root of each side
sqrt(400/ pi) = sqrt(r^2)
20/ sqrt(pi) = r
The diameter is twice the radius
2 r = d
2 * 20/ sqrt(pi) = d
40 / sqrt(pi) =d
y is the diameter so
y = 40 / sqrt(pi)
The temperature of a town at 3:00 p.m. was
41 °C. The temperature recorded at 9:00 p.m.
was 29 °C. Find the fall in temperature per
hour, if the temperature falls at a constant rate
per hour.
Answer:
-2° per hour
Step-by-step explanation:
3 PM => 41°
9 PM => 29°
Find the temperature fall rate.
First, there are 6 hours between 3 and 9, and the temperature decreased 41 - 29 = 12° in those 6 hours. To find the rate, simply divide the degrees difference by the number of hours => 12/6 = 2° per hour; and since it's a descending rate, you put a negative ( -2°).
-7-7 (2m-7) = 7 (6+m)
Answer:
m= 0
Step-by-step explanation:
this is the right answer
-7-14m+49=42+7m
42-14m=42+7m
14m+7m=42-42
21m=0
m=0
Answer:
or,-14(2m-7)=7(6+m)
or,-28m + 98=42 + 7m
or,98-42=7m+28
or,56=35m
or,56/35=m
therefore,m=1.6 Ans
Calculate the volume of a cylindrical container, whose diameter is 24cm and height is 14cm
6336
6326
6226
6126
Answer:
[tex] \boxed{\sf Volume \ of \ the \ cylindrical \ container = 6336 \ cm^3} [/tex]
Given:
Diameter (d) = 24 cm
Height (h) = 14 cm
To Find:
Volume of the cylindrical container (V)
Step-by-step explanation:
[tex] \boxed{ \bold{\sf Volume \ (V) = \pi \frac{ {d}^{2} }{4} h}}[/tex]
Substituting values of π, d & h in the equation:
[tex] \sf \implies V = \frac{22}{7} \times \frac{ {(24)}^{2} }{4} \times 14[/tex]
[tex] \sf \implies V = \frac{22}{ \cancel{7}} \times \frac{576}{4} \times 2 \times \cancel{7}[/tex]
[tex] \sf \implies V = 22 \times \frac{144 \times \cancel{4}}{ \cancel{4}} \times 2[/tex]
[tex] \sf \implies V = 22 \times 144 \times 2[/tex]
[tex] \sf \implies V = 22 \times 288[/tex]
[tex] \sf \implies V = 6336 \: {cm}^{3} [/tex]
Answer:
V =6333.45079
Step-by-step explanation:
The volume of a cylinder is
V = pi r^2 h
We know the diameter is 24
r = d/2 =24/2 = 12
V = pi*12^2 * 14
V =2016 pi
Letting pi = pi button
V =6333.45079
Which value of x satisfies the equation 5(2x-9)+3=-7
Answer:
x = 7 / 2
Step-by-step explanation:
5(2x - 9) + 3 = -7 ---------- subtract 3 from both sides
5(2x - 9) + 3 - 3 = -7 - 3
5(2x - 9) = -10 ------ divide both side by 5
2x - 9 = -2 ---------- add 9 to both sides
2x - 9 + 9 = -2 + 9
2x = 7
x = 7 / 2
The Ivy Hill Sunshine Club collected 524 cans for a canned food drive. The cans were then split up equally into 8 boxes. How many cans were in each box??? (Hurry please)
twenty one and six hundred five thousandths
Answer:
21.605 in number form
Answer: 21.605000
This is twenty-one and six hundred five thousandths in number form. I hope this helps you out!
10) Workmen used 3/5 of a pallet of pavers to build some steps leading up to the
mansion. They used 1/10 of a pallet for each step. How many steps did they build?
Answer:
6 steps
Step-by-step explanation:
Step 1: Convert 3/5 to have the same denominator as 1/10
[tex]\frac{3}{5}=\frac{(3)(2)}{(5)(2)} =\frac{6}{10}[/tex]
Step 2: How many times does 1 fit into 6
6 / 1 = 6
Therefore the workmen built 6 steps
What is 3.248 repeating as a fraction
Answer:
Example 1: 3.248 repeating line over 8
Example 2: 3.248 repeating line over 48
Example 3: 3.248 repeating line over 248
Step-by-step explanation:
Angelina drew a net of a container in the shape of a triangular pyramid. The base is an isosceles triangle with sides measuring 24 cm, 20 cm, and 20 cm. A triangular pyramid. The base has a base of 24 centimeters and height of 16 centimeters. A side has a base of 24 centimeters and height of 21 centimeters. 2 sides have a base of 20 centimeters and height of 22 centimeters. [Not drawn to scale] Which statement about the area of the pyramid is true? The base area is 384 centimeters squared. The lateral area is 692 centimeters squared. The surface area is 740 centimeters squared The area of each congruent face is 264 centimeters squared.
Answer:
Bb
Step-by-step explanation:
Answer:
884
Step-by-step explanation:
Took the assignment on edg
Determine the coordinates of A’,B’ and C’ after the transformation r(180)
Answer:
A'(4, -2)
B'(3, 0)
C'(1, -2)
Step-by-step explanation:
Coordinates of the vertices of the given triangle are,
A(-4, 2), B(-3, 0) and C(-1, 2)
ΔABC is transformed by the rotation of 180° about the origin.
Rule for the rotation will be,
(x, y) → (-x, -y)
Coordinates of the image triangle A'B'C' will be,
A(-4, 2) → A'(4, -2)
B(-3, 0) → B'(3, 0)
C(-1, 2) → C'(1, -2)
Kathy measured her finger using a ruler with centimeters. Then she measured the same finger with a ruler using millimeters. Can Kathy compare the two measurements? Yes, 10 centimeters is the same as 1 millimeter. Yes, 10 millimeters is the same as 1 centimeter. Yes, 1 centimeter is the same as 1 millimeter. No, the student cannot compare them.
Answer:
Yes, 10 millimeters is the same as 1 centimeter.
Step-by-step explanation:
Kathy can compare the two measurement because 10 millimeters equals 1 centimeter
This means
10 millimeters of her finger = 1 centimeter of the same finger
100 millimeters of her finger = 10 centimeters of her finger
1000 millimeters of her finger = 100 centimeters of her finger
Therefore, Kathy can compare both measurement ( millimeters and centimeters).
Answer:
Yes, 10 millimeters is the same as 1 centimeter.
Step-by-step explanation:
what is the simplified expression for 74 x 76/ 78
Answer:
2812/39
Step-by-step explanation:
74 • (76/78)
76/78 = 38/39
74 • 38/39 = 2812/39
1. Two times the sum of a number and five is 26?
2. Eight times a number increased by nine?
Answer:
1. x = 8
2. 8(x+9)
Step-by-step explanation:
2(x + 5) = 26
2x + 10 = 26
2x = 26 - 10
2x = 16
x = 16/2
x = 8
8(x+9)
Answer:
Hey there!
1. 2(n+5)=26
n+5=13
n=8
2. 8(n+9)
Let me know if this helps :)
Please help with this.
Step-by-step explanat: c.18
[MA5T10 E] Name the property being illustrated.
45(25 - 5) = (45 x 25) - (45 x 5)
A) Commutative Property
B) Associative Property
C) Distributive Property
D) Subtraction Property
TW¯¯¯¯¯¯¯¯¯=3, CW¯¯¯¯¯¯¯¯¯=x, TU¯¯¯¯¯¯¯=x+7, VW¯¯¯¯¯¯¯¯¯=6. Find the value of x.
Answer:
x = 4
Step-by-step explanation:
TW = 3
WU = TU - TW = x + 7 - 3 = x + 4
CW = x
VW = 6
By the property of intersecting chords inside a circle, we have:
TW * WU = CW * VW
3(x + 4) = x * 6
3x + 12 = 6x
12 = 6x - 3x
12 = 3x
12/3 = x
4 = x
x = 4
The value of x is 4.
What is the intersecting chords theorem?The chord theorem is defined as a statement in basic geometry that explains the relationship between the four line segments formed by two intersecting chords inside of a circle. According to this statement, the products of the line segment lengths on each chord are equal. It is also known as the intersecting chords theorem.
According to given figure,
TW = 3,
CW = x,
VW = 6,
Chord TU = x + 7,
WU = TU - TW
Substitute the value of Chord TU in above equation,
WU = x + 7 - 3
WU = x + 4
According to property of intersecting chords inside a circle, the products of the line segment lengths on each chord are equal.
TW × WU = VW × CW
3(x + 4) = 6 × x
3x + 12 = 6x
12 = 6x - 3x
12 = 3x
x = 12/3
x = 4
Hence, the value of x is 4.
Learn more about intersecting chords theorem here :
https://brainly.com/question/14681467
#SPJ5
.
An angle measures 28° less than the measure of its complementarylangle. What is the
measure of each angle?
Answer:
59 degrees and 31 degrees.
Step-by-step explanation:
Complementary angles form a 90 degree angle. Let's say that one angle measures x degrees. If one angle is x degrees, the other measures 28 degrees less. So, the other measures x - 28 degrees.
x + (x - 28) = 90
2x - 28 = 90
2x = 118
x = 59 degrees.
The other angle measure will then be 59 - 28 = 31 degrees.
Hope this helps!
Answer:
59° and 31°
Step-by-step explanation:
Complementary angle sum 90°
a + b = 90
a = b - 28
then:
(b - 28) + b = 90
2b - 28 = 90
2b = 90 + 28
2b = 118
b = 118/2
b = 59°
a = b - 28
a = 59 - 28
a = 31°
Probe:
59° + 31° = 90°
What is the value of x?
Answer:
x = 21
Step-by-step explanation:
5x = (90 + 15)
5x = 105
x = 21
1. Seventy percent of the population of Texas lives within a 200-mile radius of Austin.
If the total area of Texas is 267,339 square miles, about what percent of the total
land area is within 200 miles of Austin?
Analyze Circle the information you know and underline what you are
trying to find. Is there any information you will not use?
Plan How will you solve this problem?
Solve Solve the problem. Show your steps below. What is the solution?
Justify and Evaluate Does your answer make sense? Can you solve the problem
another way to check your work? oop no
Answer:
47%
Step-by-step explanation:
Radius of Austin = 200 miles
Total area of Austin = [tex]\pi r^{2}[/tex]
where 'r' = radius of Austin
From this formula,
Area of Austin = [tex]\pi (200)^2[/tex]
= 125663.71 square miles
Percentage of total area which is within 200 miles of Austin will be,
= [tex]\frac{\text{Area of Austin}}{\text{Total area of Texas}}\times 100[/tex]
= [tex]\frac{125663.71}{267339}\times 100[/tex]
= 47%
In this question, information regarding population of Texas will not be used.
if c(x)= 5/x-2 and d(x)=x+3, what is the domain of (cd)(x)
Answer:
Step-by-step explanation:
cd(x) would equal c(x) multiplied by d(x) so we get [tex]\frac{5(x+3)}{x-2}\\[/tex] = [tex]\frac{5x+15}{x-2}\\[/tex].
The domain of [tex]\frac{5x+15}{x-2}[/tex] is anything except 2, so the domain of (cd)(x) is (-inf, 2) U (2, inf).
find the slope (0, -3) and (9, 0) PLEASE SHOW YOUR WORK, WILL MARK BRAINLEIST
===================================================
Work Shown:
Use the slope formula to get
m = (y2 - y1)/(x2 - x1)
m = (0 - (-3))/(9 - 0)
m = (0 + 3)/(9 - 0)
m = 3/9
m = 1/3
----------------
Basically we subtract the y coordinates, and do the same for the x coordinates as well (subtract in the same order). Afterward, divide the two results. Reduce the fraction as much as possible.
A slope of 1/3 means we move up 1 unit each time we move to the right 3 units.
The slope being positive means the line goes uphill as you read from left to right.
What number, c, completes the square? X^2 + 8x + c
Answer:
16
Step-by-step explanation:
If you divide 8 by 2 it is 4 and 4 times itself is 16. Because to complete the square you find half of b and square it for c.
maggie pays $9.28 for 8m of ribbon.
what is the cost of the ribbon per meter
Answer:
$1.16 per meter
Step-by-step explanation:
You need to divide the coat by the meters.
9.28/8
= 1.16
So one meter of ribbon would cost $1.16.
Answer: $1.16
Step-by-step explanation:
cost of ribbon per meter= cost/meter
$9.28/8m=$1.16/m
An ant starts at (0, 0), and only makes moves of length 1 in the positive x directions or the positive y direction. How many paths are there from the ant that end at (3, 3) but never pass through (2, 3)
Answer:
The number of paths that are there from the ant that end at (3, 3) but never pass through (2, 3) is 4.
Step-by-step explanation:
The possible pathways are as follows:
(0, 0) → (1, 0) → (2, 0) → (3, 0) → (3, 1) → (3, 2) → (3, 3)
(0, 0) → (1, 0) → (2, 0) → (2, 1) → (2, 2) → (3, 2) → (3, 3)
(0, 0) → (1, 0) → (1, 1) → (1, 2) → (2, 2) → (3, 2) → (3, 3)
(0, 0) → (0, 1) → (0, 2) → (1, 2) → (2, 2) → (3, 2) → (3, 3)
Thus, the number of paths that are there from the ant that end at (3, 3) but never pass through (2, 3) is 4.