Answer:
-2Step-by-step explanation:
hello :
f(x)=-2x and g(x)=(1/2)^x
f(-2)=-2(-2) =4
g(-2)=(1/2)^-2 = 1/2^-2 = 2²=4
a. 9
b. 10
c. 16
d. 17
17. Determine whether the two figures are similar. If so, give the similarity ratio of the smaller
figure to the larger figure. The figures are not drawn to scale.
3
24
4
32
14
112
OOOO
yes; 1:4
yes; 1:6
yes; 1:8
no
Answer: yes, 1:8
Step-by-step explanation:
Each side multiplied by 8 equals the corresponding sides on the larger figure, which means the larger figure is 8 times bigger than the smaller one.
PLEASE GIVE BRAINLIEST
Both the figure is similar by the scale factor of 1:8. Option C is correct.
It is to be determine that both the figure are similar or not. If similar than by what factor.
The scale factor is defined as the ratio of modified change in dimension to original dimensions.
Both the figure will similar if the ratio of the sides are equal. i.e.
⇒ 3/24=4/32=14/112
1/8 = 1/8 = 1/8
Ratio of the sides are equal by factor of 1/8.
Thus, both the figure is similar by the scale factor of 1:8.
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True or false: the height is always twice the length of the base edge for any triangular pyramid
Answer:
FALSE
Step-by-step explanation:
The length of the base edge of a triangular pyramid may vary.
The height is not always twice the length of the base edge for any triangular pyramid, the dimensions are not fixed for any shape and can vary from one design to another.
more so, i may require a particular size or dimension of triangular based pyramid for my application that may not suit your application.
A cereal box has the dimensions shown. A drawing of a rectangular prism shaped cereal box with length 9 inches, width 4 inches and height 12 inches. a. Find the surface area of the cereal box.
Answer:
surface area of the rectangular shaped cereal box = 384 ft²
Step-by-step explanation:
The cereal box is a rectangular prism . The rectangular prism has a length of 9 inches, height of 12 inches and width of 4 inches . The surface area can be computed below .
Surface area of the prism is the sum of the area of all the faces. Therefore,
surface area = 2wl + 2lh + 2hw
where
l = length
w = width
h = height
surface area = 2wl + 2lh + 2hw
l = 9 inches
w = 4 inches
h = 12 inches
surface area = 2(4 × 9) + 2(9 × 12) + 2(12 × 4)
surface area = 2(36) + 2(108) + 2(48)
surface area = 72 + 216 + 96
surface area of the rectangular shaped cereal box = 384 ft²
Answer:
The cereal box is a rectangular prism . The rectangular prism has a length of 9 inches, height of 12 inches and width of 4 inches . The surface area can be computed below .
Surface area of the prism is the sum of the area of all the faces. Therefore,
surface area = 2wl + 2lh + 2hw
where
l = length
w = width
h = height
surface area = 2wl + 2lh + 2hw
l = 9 inches
w = 4 inches
h = 12 inches
surface area = 2(4 × 9) + 2(9 × 12) + 2(12 × 4)
surface area = 2(36) + 2(108) + 2(48)
surface area = 72 + 216 + 96
surface area of the rectangular shaped cereal box = 384 ft
Step-by-step explanation:
How many x-intercepts does the graph of y = 4x2 + 5x + 2 have?
Answer:
Step-by-step explanation:
hello : y= 4x² + 5x + 2
the x-intercepts when y=0 means : 4x² + 5x + 2=0
a=4 b= 5 c=2
∆ = b²- 4ac ∆ = (5)²- 4(4)(2) =25-32 = -7
∆ < 0 no reals solutions no x-intercepts
Find the length of the diagonal of an 8cmx 6cmx 10cm rectangular prism. Round to the nearest tenth. (HELP PLEASE!!)
Answer:
14.1 cm
Step-by-step explanation:
first find the base diagonal :
base di = Square root (8^2 + 6^2) = 10cm
so,
diagonal = Square root (10^2 + 10^2) = 14.1 cm (ANS)
<>) Melinda
Melinda says that 500 divided by 50 is 10. Use the drop-down menus to explain
why Melinda's statement is true.
Click the arrows to choose an answer from each menu.
The value of a Choose... " in the hundreds place is Choose...
of a 5 in the Choose... place.
times the value
Answer:
The statement "500 divided by 50 is 10" is a true statement
Step-by-step explanation:
In mathematics, we have a term that we refer to as Place Value.
Place Value in mathematics can be defined as the value that a digit has based on its position or place in a number.
Examples of place value is:
Thousands represented by Th
Hundreds represented by H
Tens represented by T
Units represented by U
In the above question,
500 ÷ 50 gives us 10.
This is true because, 500 as a number, the Digit 5 has a place value of hundreds
50 as a number , the digit 5 has a place values of Tens.
10 as a number, the digit 1 has a place value of Tens.
In mathematics, the multiplication of 2 numbers in a place value of Tens always gives us a place value of hundreds.
For example, 10 × 50 = 500
Likewise, when we divide, a number with a place value of hundreds by a number with a place value of tens, we have a number with a place value of tens.
For example: 500 ÷ 50 = 10.
Therefore, the statement "500 divided by 50 is 10" is a true statement
Natalie has $250 in savings. At the end of 6 months, she has $450 in savings. What is the percent increase in the amount of her savings?
80 percent. 80 percent of 250 is 200 and 250 increased by a total of 200 therefore 80%
Answer: 80%
Step-by-step explanation:
Rule of 3.
Let's put the money on the left side and the percents on the right side.
[tex]\frac{250}{450}=\frac{100}{x}[/tex]
Solve for x:
[tex]x=\frac{450*100}{250}[/tex]
[tex]x=180[/tex]
Subtract 100 from 180
180-100=80
Triangle RST is rotated using the origin as the center of rotation. The preimage and image are shown in the graph below.
On a coordinate plane, triangle T R S has points (negative 2, negative 3), (2, negative 3), (0, negative 5). Triangle T prime R prime S prime has points (3.5, 0.8), (0.7, 3.8), (3.5, 3.8).
The figure is rotated counterclockwise. Which rotation could have taken place?
a 45° rotation
a 90° rotation
a 135° rotation
a 225° rotation
Answer:
a 135° rotation.Step-by-step explanation:
As you can observe in the image attached, the preimage RST is a tringle "pointing" to the negaitve side of the vertical axis (taking point S as reference).
The transformed triangle R'S'T' is pointing to the diagonal of the first quadrant, with a 45°, approximately.
The rotation needed in such transformation would be 90° + 45° = 135°, becasue from -y to +x there're 90°, then we rotate 45° to reach the position of R'S'T'.
Therefore, the right asnwer is a 135° rotation.
Answer:
a 135° rotation.
Step-by-step explanation:
As you can observe in the image attached, the preimage RST is a tringle "pointing" to the negaitve side of the vertical axis (taking point S as reference).
The transformed triangle R'S'T' is pointing to the diagonal of the first quadrant, with a 45°, approximately.
The rotation needed in such transformation would be 90° + 45° = 135°, becasue from -y to +x there're 90°, then we rotate 45° to reach the position of R'S'T'.
Therefore, the right asnwer is a 135° rotation.
Michelle tried to solve an equation step by step. \begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45+\dfrac35&\green{\text{Step } 1}\\\\ t&=1&\blue{\text{Step } 2} \end{aligned} t− 5 3 t− 5 3 + 5 3 t = 5 4 = 5 4 + 5 3 =1 Step 1 Step 2 Find Michelle's mistake. Choose 1 answer: Choose 1 answer:
Answer:
Step 2
Step-by-step explanation:
Michelle's step in trying to solve the equation is given below:
[tex]\begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45+\dfrac35&\green{\text{Step } 1}\\\\ t&=1&\blue{\text{Step } 2} \end{aligned}[/tex]
Michelle made a mistake in Step 2.
The right hand side of Step 1: [tex]\dfrac45+\dfrac35\neq 1[/tex]
Rather, the correct sum is:
[tex]\dfrac45+\dfrac35=\dfrac75\\\\=1\dfrac25[/tex]
Answer:
Its 1/5
Step-by-step explanation:
Khan
Solve the following inequality
2(x – 3) – 5x < 9
Answer:
Step-by-step explanation:
hello : here is an solution
What is the inverse of the function f(x) =2x - 10?
Answer:
D
Step-by-step explanation:
f(x) =2x - 10
(f(x) + 10)/2 =h(X)
x/2 + 5 = h(x)
Consider circle C with angle ACB measuring 3 pi/4 radians if minor arc AB measures 9 pi inches what is the length of the radius of circle C if necessary round your answer to the nearest inch
Answer:
r = 12 inches
Step-by-step explanation:
In this question, we are asked to calculate the length of the radius of the circle.
This is accessible from using the length of an arc.
Mathematically, the length of an arc can be calculated using the formula;
Theta/360 * 2 * pi * r
Where Theta is the angle subtended at the center and r is the radius of he circle.
According to the question, Theta is 3pi/4 radians or let’s just say 0.75pi . This to degrees will be 135 degrees ( pi = 180 degrees)
Thus we have;
9 pi = 135/360 * 2 * pi * r
divide through by pi
9 = 270r/360
360 * 9 = 270r
r = (360 * 9)/270
r = 12 inches
Answer:
b
Step-by-step explanation:
Keith makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.
Answer:
P=8h
Step-by-step explanation:
P is the total amount of dollars that Keith will make, while h is the number of hours he will work for. If you multiply the number of hours he works for and how much he makes in an hour which is 8. You will get the total amount.
A store employee counts 285 different lawn decorations. He wants to organize them and place the lawn decorations on 9 shelves. About how many lawn decorations will go on each shelf? A About 30 B About 40 C About 50 D About 90
Answer: C) About 30
Step-by-step explanation: 285/9= 31.6666666667 which rounded to the nearest ten is equal to 30
There should be about 30 decorations on each shelf.
What is division?The opposite of multiplication is division. Assuming that 3 gatherings of 4 make 12 in augmentation, 12 isolated into 3 equivalent gatherings give 4 in each gathering in division.
The primary objective of partitioning is to perceive the number of equivalent gatherings that are shaped or the number of are in each gathering while sharing decently.
Given total lawn decorations = 285
and to arrange in 9 shelves
each shelves will have
285/9 = 31.6667
the nearest ten is 30.
Hence each shelf have about 30 decorations.
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Louis wants to carpet the rectangular floor of his basement. The basement has an area o f605 square feet. The width of the basement is 1/5 its length. What is the length of Louis's basement?
Answer:
Length = 55 ft
Step-by-step explanation:
Given:
Area of rectangular floor= 605ft²
Length= x
Width= 1/5x
Formula for area of rectangular floor= Length × width
Put the given into the formula.
605 ft² = x × 1/5x
605 ft² = x²/5
multiplying both sides by 5
605 ft² × 5 = x²/5 × 5
x² = 605 ft² × 5
= 3025 ft²
x= √3025 ft²
x= 55 ft
Put x into the unknown above.
Length= x
Width= 1/5x
Length = 55 ft
Width= (1/5)×55 = 11 ft
The leaning Tower of Pisa was completed in 1372 and makes 86 degree angle with the ground. The tower is 50 meters tall, measured vertically from the ground to the highest point. If you were to climb to the top then accidentally drop your keys, where would you start looking for them?
How far from the base of the tower would they land?
I made having no luck in figuring this out.
Answer:
The distance where the keys would drop from the base is 3.5m
Step-by-step explanation:
Height of the tower = 50m
Angle it makes to the ground = 86°
To solve this question, you have to understand that the tower isn't vertically upright and the height of the tower is different from the distance from the top of the tower to the ground.
The tower makes an angle 86° to the ground and that makes it not vertically straight because a vertically straight building is at 90° to the ground.
See attached document for better illustration.
The distance from where the keys drop to the base of the tower can be calculated using SOHCAHTOA
We have to use cosθ = adjacent / hypothenus
θ = 86°
Adjacent = ? = x
Hypothenus = 50m
Cos θ = x / hyp
Cos 86 = x / 50
X = 50 × cos 86
X = 50 × 0.06976
X = 3.488 = 3.5m
The distance where the keys would drop from the base of the tower is approximately 3.5m
Nancy has 3.5 gallons of gasoline. She paid $10.43. How much was it for each gallon
Answer:
$2.98
Step-by-step explanation:
$10.43 / 3.5 = $2.98
If it takes 10 women 8 days to make 3 treehouses, how many days does it take 6 women to make 36 treehouses
Answer:
160 days
Step-by-step explanation:
If it takes 8 days with 10 women to make 3 tree houses, then the rate of woman per tree house is 3/80. Multiplying this by 6 and dividing by 36, you get a rate of 1/160 or 160 days. Hope this helps!
In the inequality, what are all the possible values of x?
−8x + 6 ≤ 2(−3x + 1)
A) x ≥ 2
B) x ≤ 2
C) x > 1/2
D) x < −1
Answer:
A
Step-by-step explanation:
-8*2+6≤2(-3*2+1)
= -10≤-10
Find the focus and the directrix of the parabola with the equation y = –1∕2 (x – 8)2 – 6.
A) Focus = (–8,–61∕2), directrix is y = –51∕2
B) Focus = (–8,–51∕2), directrix is y = –61∕2
C) Focus = (8,–61∕2), directrix is y = –51∕2
D) Focus = (8,–51∕2), directrix is y = –61∕2
Answer:
c
Step-by-step explanation:
The focus of the parabola is (–8,–51∕2), directrix is y = –61∕2 option (C) is correct.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
(x - h)² = 4a(y - k)
(h, k) is the vertex of the parabola:
a = √[(c-h)² + (d-k²]
(c, d) is the focus of the parabola:
We have an equation for the parabola:
The parabolic equation also in the form of quadratic equation.
Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
y = (-1∕2)(x – 8)² – 6
The vertex of the parabola is (h, k)
h = 8, k = -6
The focus of the parabola:
(c, d)
c = -6
d = -6 - 1/2 = -13/2 = -6 1/2
Directrix of the parabola:
y = -6 - (-1/2)
y = -6 + 1/2
y = -11/2 = -5 1/2
Thus, the focus of the parabola is (–8,–51∕2), directrix is y = –61∕2 option (C) is correct.
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Tabitha's Time Spent on Homework
Which best explains who spends more time on homework?
Ayana, because she has a higher maximum time spent
Ayana, because she has more variability in her time spent
Tabitha, because she has a higher median time spent
Tabitha, because she has more variability in her time spent
Answer:c Tabitha, because she has a higher median time spent
Step-by-step explanation:
Answer:
CStep-by-step explanation:
simplify 5x+5(2x+2)+7
Answer:
12x+14
Step-by-step explanation:
5x+5(2x+2)+7
5x+7x+7+7
12x+7+7
12x+14
Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A double prime B double prime?
Complete question:
Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A double prime B double prime?
A) segment a double prime b double prime = segment ab over 2
B) segment ab = segment a double prime b double prime over 2
C) segment ab over segment a double prime b double prime = one half
D) segment a double prime b double prime over segment ab = 2
Answer:
A) segment a double prime b double prime = segment ab over 2.
It can be rewritten as:
[tex] A"B" = \frac{AB}{2} [/tex]
Step-by-step explanation:
Here, we are given triangle A″B″C which was formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin.
We know segment A"B" equals segment AB multiplied by the scale factor.
A"B" = AB * s.f.
Since we are given a scale factor of ½
Therefore,
[tex] A"B" = AB * \frac{1}{2} [/tex]
[tex] A"B" = \frac{AB}{2} [/tex]
The equation that explains the relationship between segment AB and segment A"B" is
[tex] A"B" = \frac{AB}{2} [/tex]
Option A is correct
How many points of intersection are on the graph?
y=x2+3x-7
y - X=9
The linear-quadratic system has (select) points of intersection.
Answer:
2 and 1
Step-by-step explanation:
[tex]y = {x}^{2} + 3x - 7 \: will \: have \: two \: points \: of \: \\intersection \\ \\ y - x = 9 \: will \: have \:only \: one\: point \: of \:\\ intersection[/tex]
a. Two local supermarkets sell watermelons grown at McDowell's
farm. But Biggy Market sells their watermelons for $3.99 each,
regardless of size, whereas Harmless Trail Market sells their
watermelons for $0.19 per pound. For what weight will a
watermelon at Harmless Trail cost the same as any watermelon at
Biggy? If the largest watermelon grown at McDowell's farm
weighs 18 pounds, at which place should you buy your
watermelons?
Answer:
For the watermelon at Harmless to cost the same as any watermelon at Biggy, the watermelon needs to be 21 pounds.
You should buy your watermelon at Harmless.
Step-by-step explanation:
1. So in order to figure out the number of pounds, you need to divide 3.99 by 0.19 which should give u 21 pounds.
2. So in order to figure out where u should buy the watermelon from, u have to do 18 pounds times $0.19 which should give u $3.42 at Harmless while at Biggy it would cost $3.99
Help Me
I don't quite understand this...
Answer:
(x-3)^2 = 4
Step-by-step explanation:
2 (x-3)^2 + 6 = 14
Subtract 6 from each side
2 (x-3)^2 = 8
Divide each side by 2
2/2 (x-3)^2 + 6 = 8/2
(x-3)^2 = 4
Han is hiring laborers to cut down and remove 8 large trees from his
lot. Company A charges a flat rate of $1,000 for one full day of work
with 4 laborers. They guarantee the work will be done in 1 day or
additional days will be free. Company B charges a flat equipment fee
per day of $200. plus $90 per tree. They do not guarantee the work will
be done in 1 day. Which company should Han choose? Why?
please help me
company a
Step-by-step explanation:
if the work for company b takes more than two days is gonna be more than 1,000 dollars and if he pick company a he would owe 1,000 no matter how many days it takes
Two angles are complementary. If one angle measures 50 degrees, what is the measure of the second angle
Answer:
The other angle is 40 degrees
Step-by-step explanation:
Complementary angles add to 90 degrees
x+50 = 90
Subtract 50 from each side
x+50-50 = 90-50
x = 40
The other angle is 40 degrees
The concrete company pours 8 sections of sidewalk each of which is 2 5/6 feet long. What is the length of the entire sidewalk that the concrete company pours
Answer: 22 2/3 feet
Step-by-step explanation:
From the question, a concrete company pours 8 sections of sidewalk each of which is 2 5/6 feet long. The length of the entire sidewalk that the concrete company pours will be calculated by multiplying 8 by 2 5/6 feet. This will be:
= 8 × 2 5/6
= 8 × 17/6
= 136/6
= 22 2/3 feet
