The expression for h(x) is,
⇒ h (x) = √(x - 2) + 4
Now, Given that;
Initially the graph f (x) is shifted horizontally to the right.
When the graph shifts to right the function then becomes
f (x) → f (x-b)
Where b is the units by which it is shifted towards right .
So, in the figure we can see that it is shifted 2 units to the right .
So, f(x) → f(x-2)
Since f(x) is,
⇒ f (x) = √x
So, f (x-2) = √x - 2
Now, the new obtained graph is again shifted vertically upward
When the graphs shifts upward;
⇒ f(x) → f(x) + b
where b is the units by which it is shifted upward
So, our obtained f(x-2) when shifted upward by 4 units so using the above given transformation of upward shift
i.e. f(x) → f(x) + b
So, Our new graph h(x) = f(x-2) + 4
⇒ h (x) = √(x - 2) + 4
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What is the total length of all meteors that are 1 6/8 inches?
Answer:
3 4/8
Step-by-step explanation:
Black & Decker Manufacturing sold a set of saws to True Value Hardware. The list price was $3,800. Black & Decker offered a chain discount of 8/3/1. The net price of the saws is:
The net price of the saws that Black & Decker Manufacturing sold to True Value Hardware on a chain discount of 8/3/1 is $3,357.21.
What is a chain discount?A chain discount refers to a type of discount offered to customers, which is sequentially applied to the list price to arrive at the net price.
Chain discounts involve a series of trade discounts applied in sequence.
Data and Calculations:List price = $3,800
Chain discount = 8/3/1
First net price = $3,496 ($3,800 x 1 - 8%)
Second net price = $3,391.12 ($3,496 x 1 - 3%)
Third net price = $3,357.21 ($3,391.12 x 1 - 1%)
Thus, the net price based on a chain discount of 8/3/1 is $3,357.21.
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Find 4 + 20, if ü -< -3, -7> and =< 4, -2 >
<-4,-32 >
<7,-3>
<-8, -30
< 5, -11 >
2 0 0 0
Given statement solution is :- The Vector Calculations and Addition results are as follows:
ü -< -3, -7 > = < -3, -7 >
=< 4, -2 > - < -4, -32 > = < 0, -34 >
< 7, -3 > - < -8, -30 > = < 15, 27 >
< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >
And 4 + 20 = 24.
To find the sum of 4 + 20, we simply add the two numbers together:
4 + 20 = 24
As for the given vectors, let's perform the requested calculations:
ü -< -3, -7 > = < -3, -7 >
=< 4, -2 > - < -4, -32 > = < 4 + (-4), -2 + (-32) > = < 0, -34 >
< 7, -3 > - < -8, -30 > = < 7 - (-8), -3 - (-30) > = < 15, 27 >
< 5, -11 > + < 2, 0, 0, 0 > = < 5 + 2, -11 + 0, 0 + 0, 0 + 0 > = < 7, -11, 0, 0 >
Therefore, the Vector Calculations and Addition results are as follows:
ü -< -3, -7 > = < -3, -7 >
=< 4, -2 > - < -4, -32 > = < 0, -34 >
< 7, -3 > - < -8, -30 > = < 15, 27 >
< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >
And 4 + 20 = 24.
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Determine the domain :y=|x+5|+1
Answer:
B im pretty sure
Step-by-step explanation:
Answer:
Domain: ( − ∞ , ∞ ) , { x | x ∈ R }
Range: [ 1 , ∞ ) , { y | y ≥ 1 }
Step-by-step explanation:
ind the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.
What is the area under the normal curve between the z-scores of −1 and 0?
Enter your answer as a decimal, rounded to the nearest hundredth, like this: 0.42
Answer:
0.34
Step-by-step explanation:
You know from the empirical rule that 68% of the area of the normal distribution lies in the range z=-1 to z=1. The distribution is symmetrical, so half that area lies in the range z = -1 to z = 0.
area = 68%/2 = 34% = 0.34
__
Your calculator can tell you the same thing.
Steve is turning half of his backyard into a chicken pen. His backyard is a 24 meter by 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner.
How many meters of fencing will Steve need?
Answer: 12 is the awnser
Step-by-step explanation: simple math.
Which expression is NOT equivalent to 60+1260+12?
Answer:60+1260+13 isnt equivalent
Step-by-step explanation:
A river is currently 3 feet deep. Due to rainfall and resulting runoff from the surrounding hills, the depth of the river rises over time. After 2 inches of rainfall, the river is 11 feet deep. Assume that the depth of the river will continue to rise at this same rate with each new inch of rainfall.
Therefore , the solution of equation comes out to be the depth of the river is 5+(6.5/3)*x.
What algebraic fundamentals are there?Algebraic fundamentals include: Algebraic expression addition and subtraction, algebraic expression division and multiplication, figuring out equations, literal formulas and equations, Applying verbal issues
Here,
Given : Let x = amount of rainfall (inches)
Let D = depth of river (feet)
Depth of river increases due to rainfall. Relationship of the depth of increase (in feet) to the amount of rainfall (inches) is:
6.5 feet / 3 inches rainfall
Depth will increase by (6.5/3)*x
Depth of river will be the initial depth plus the amount of increase due to rainfall. So:
D = 5 + (6.5/3)*x
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Petra is making necklaces to sell at craft. the hardware for each necklace is 3.75 and each bead costs 0.50. The number of beads Petra needs depends on the design she chooses. which expression gives the total cost to make 30 necklaces.
Answer:
T=112.5+0.50*b (since there was not a given number of beads)
What is the area of a rectangle with a length of 7 feet and a width of 3 ¾ feet?
Answer:
105/4 ft^2
Step-by-step explanation:
Multiply length and width: 7*15/4 = 105/4 ft^2
A sample of 15 participants took part in a hearing experiment. Among other things, the absolute hearing threshold (in
participant. The 15 measurements were as follows:
25, 22, 18, 35, 37, 34, 31, 27, 24, 36, 36, 36, 33, 33, 33
Send data to calculator
Draw the histogram for these data using an initial class boundary of 17.5 and a class width of 6.
A histogram to show the data distribution is shown in the image below.
How to complete the frequency table and use it to make a histogram?In this scenario and exercise, you are required to complete the frequency table and create a histogram to show the data distribution. First of all, we would determine the midpoint, absolute frequency, relative frequency, and cumulative frequency;
Class width Midpoint Absolute frequency Rel. frequency
[15, 20] 17.5 1 0.066667
[20, 25] 22.5 2 0.133333
[25, 30] 27.5 2 0.133333
[30, 35] 32.5 5 0.333333
[35, 40] 37.5 5 0.333333
Mathematically, the relative frequency of a data set can be calculated by using this formula:
Relative frequency = absolute frequency/total frequency × 100
Relative frequency = 1/15 × 100 = 0.066667
Relative frequency = 2/15 × 100 = 0.133333
Relative frequency = 5/15 × 100 = 0.333333
For the cumulative frequency, we have:
0.066667
0.066667 + 0.133333 = 0.2
0.2 + 0.133333 = 0.333333
0.333333 + 0.333333 = 0.066667
0.066667 + 0.333333 = 1.
In conclusion, the y-axis of the histogram would be labeled frequency while the x-axis would be labeled absolute hearing threshold, for 15 participants.
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If i am in texas then I am in the south
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Of the United States, true, you are in the south.
Texas is a southern state of the USA.
Of the world, false, you are more north than south, and also you are around the middle north of the world.
The pictures I attached are maps of the USA and the world.
As you can see in the USA map, Texas is one of the states are are the lowest.
But if you look at the world map, Texas is not very south.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
The instructor noted the following scores on the last quiz of the semester for 8 students. Find the range of this data set 59,61,83,67,81,80,81,100
answer: the range is 41.
to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.
then we subtract the minimum from the maximum.
59 - 100 = 41.
Which function represents the inverse of function f?
= 3x + 5
O A. T (2)
O B.
O c.
O D.
=-3x - 5
x+ //
– ž
g(x) =
p(x) =
8(x) = 3z +5
x
The inverse function of f(x) = 3x + 5 is given as follows:
C. p(x) = 1/3x - 5/3.
How to obtain the inverse function?The function in the context of this problem is defined as follows:
f(x) = 3x + 5.
To obtain the inverse function, first we must exchange the variables x and y, hence:
y = 3x + 5
x = 3y + 5.
Now we must isolate the variable y, hence:
3y = x - 5
y = (x - 5)/3.
p(x) = 1/3x - 5/3.
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The following equation is true for all values of x. What number completes the equation?
Show your work.
5y + 2(3y − 1) = ⬜y − (y + 2)
The number that can complete the equation 5y + 2(3y − 1) = ⬜y − (y + 2) is
5y + 2(3y − 1) = 12 y − (y + 2)
How to find the number that can complete the equationThe number that can complete the equation is computed by simplifying the equation at the left hand side of the equality sign and comparing with the right side of the equality side
The comparison will show the number that can fit in the blank
Simplifying the equation at the left hand side of the equation
= 5y + 2(3y − 1)
= 5y + 6y − 2
= 11y - 2
Simplifying the equation at the right hand side of the equation
= ⬜y − (y + 2)
let x represent the missing number
= xy − (y + 2)
= xy − y - 2
comparing both equations
11y - 2 = xy − y - 2
11y = xy − y
11y + y = xy
12y = xy
x = 12
The missing value = 12
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Simplify: 35( 1/7n + 3/5n ) + n
Answer:
Simplified: 27n
Step-by-step explanation:
The side of a triangle are in the ratio 4:4:3 what kind of triangle is it (b) calculate the smallest angle of the triangle to the nearest degree
The smallest angle of the equilateral triangle is 60 degrees
If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.
To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.
For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:
Smallest angle \(= \frac{180}{3} = 60\)\) degrees.
Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).
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The figure shows three tennis balls in a can with each tennis ball having a diameter of 2.5 inches. What is the total volume of the air space around the three tennis balls?
The total volume of the air space of spherical ball is A = 12.265625 inches³
Given data ,
Since each tennis ball has a diameter of 2.5 inches, the radius of each ball is 1.25 inches.
The air space around the balls can be thought of as a cylinder with a height equal to the diameter of one ball and a radius equal to the radius of one ball.
The height of the cylinder is 2.5 inches, and the radius is 1.25 inches.
The formula for the volume of a cylinder is:
V = πr²h
V = ( 3.14 ) ( 1.25 )² ( 7.5 )
V = 36.796875 inches³
where V is the volume, r is the radius, and h is the height.
So, the volume of the one ball is:
V₁ = ( 4/3 )π(1.25)³
V₁ = 8.177083 inches³
The total volume of three balls is = volume of 3 spherical balls
V₂ = 3V₁ = 3(8.177083) ≈ 24.53125 cubic inches
Therefore, the total volume of the air space around the three tennis balls is approximately A = 36.796875 inches³ - 24.53125 inches³
A = 12.265625 inches³
Hence , the volume of air space is A = 12.265625 inches³
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Rumus suatu fungsi di nyatakan dengan f (x) = 2x + 5. Jika f(a) = 7, nilai a adalah
Step-by-step explanation:
As my previous answer got deleted for being wrong (in which it was right), I will answer again.
The answer is 1. Why? Just plug it into the equation. F(1) = 2(1) + 5 = 7.
This is proof that it is right, and that there are some corrupt admins on brainly.
How to get to this solution?
Well notice how we are given what f(a) is. It is 2a + 5. So plug this in for f(a).
If we do so, we get 2a + 5 = 7.
Solving this equation, we get a = 1.
neil runs every day after school. the table shows the distance run in minutes.
No. one variable is always a constant value times the other. That constant is know as the "constant of proportionality". This does not have that. Hope this helped
=3
<3
Suppose you are standing near a tree and observe that the angle of elevation to the top of the tree is 64 degrees. You then walk 100 ft further away from the tree and observe that the angle of elevation to the top of the tree is now 46 degrees.
How tall is the tree?
Round your answer to the nearest foot.
Answer:
yes
Step-by-step explanation:
proportianal or not pls answer
Help ASAP!
Question 1:
Check attached file for question 1
Question 2:
A new lake was populated with a small number of trout. The number of trout in the lake can be modeled by the function: P(t)=740 / 1+73e^−0.07 where t is the number of months since the population of trout was first introduced. Round all answers to the nearest whole number
A. what is P(0)= I got 10
B. What does the answer from part A tell us about the trout population?
C. How many trout were in the lake after 1 year?
D. How many trout were in the lake after 10 years?
E. lim t→∞P(t)= I got 740
F. What does the answer from part E tell us about the trout population?
The answer from part A tells us that the trout population was 10 in the first month after it was introduced.
How solve the problem?A. P(0) = 740 / (1 + 73e^-0) = 740 / (1 + 73) = 740 / 74 = 10, so the answer is 10.
B. The answer from part A tells us that the trout population was 10 in the first month after it was introduced.
C. To find the number of trout in the lake after 1 year, we need to find P(12): P(12) = 740 / (1 + 73e^-0.07*12) = 740 / (1 + 73e^-0.84) ≈ 490, so the answer is 490.
D. To find the number of trout in the lake after 10 years, we need to find P(120): P(120) = 740 / (1 + 73e^-0.07*120) = 740 / (1 + 73e^-8.4) ≈ 740, so the answer is 740.
E. lim t→∞ P(t) = 740, so the answer is 740.
F. The answer from part E tells us that as the number of months t approaches infinity, the trout population will approach 740. This means that the trout population will eventually stabilize at 740 if no other factors such as predators, disease, or lack of food affect the population.
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Standard deviation is ________. a mean of squared differences the square root of the variance unit-free the covariance
Standard deviation is the square root of the variance. A mean of squared differences the square root of the variance unit-free the covariance.
What is standard deviation?The standard deviation is a measure of variance from the mean that includes spread, dispersion, and spread. The standard deviation displays a "typical" deviation from the mean. It is a well-liked measure of variability because it retains the original units of measurement from the data set. There is a small variation when data points are near the mean, and a large variation when they are far from the mean. The values' distance from the mean is determined by the standard deviation. The most common method of measuring dispersion is standard deviation, which is based on all values.
Hence, standard deviation is the square root of the variance.
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Enter the equation of a circle that is congruent to circle C and is centered at point P
The equation of a circle that is congruent to circle C and is centered at point P is (x - 5)² + (y - 1)² = 5².
What is the equation of a circle?In Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;
(x - h)² + (y - k)² = r²
Where:
h and k represent the coordinates at the center of a circle.r represent the radius of a circle.Based on the information provided, we have the following parameters for the equation of this circle:
Center (h, k) of P = (1, 5)Radius (r) of P = 5 units.By substituting the given parameters, we have:
(x - h)² + (y - k)² = r²
(x - 5)² + (y - 1)² = 5²
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A sports ball has a diameter of 19 cm. Find the volume of the ball and select the correct units. Round your answer to 2 decimal places.
Answer:
The volume of a sports ball with a diameter of 19 centimeters is approximately 3,591.364 cubic centimeters.
(Hope this helps! Btw, I am the first to answer. If this answer is wrong, I apologize..)
Answer: 3591.36 cm cubed
Step-by-step explanation:
volume formula for a sphere
(4πr^3)/3
diameter = 19
radius = 9.5
4π(9.5^3)/3
4π(857.375)/3
10774.092/3
3591.364
rounded
3591.36 cm cubed
Tell which angles are congruent to the given angle measure.
Generally:
- Vertical angles are congruent. An example of vertical angles on the diagram are angles 1 and 4; they are opposite each other on the two intersecting lines.
When two parallel lines are intersected by a transversal:
- Corresponding angles are congruent. Corresponding angles are angles on the same side of the transversal with corresponding positions, such as angles 2 and 5 in the diagram.
- Alternate interior angles are congruent. Angles 3 and 5 are an example of alternate interior angles on the diagram. They are contained within the interior of the two parallel lines, and are on opposite sides of the transversal.
- Alternate exterior angles are congruent. These angles lie on the outside of the parallel lines and on opposite sides of the transversal. Angles 1 and 7 are an example of alternate exterior angles.
Looking at the diagram, we can recognize that our given angle of 56° creates a vertical angle pair with angle 7; these angles are congruent. Additionally, since corresponding angles are congruent, angles 4 and 7 are congruent. Notice that angle 4 creates a vertical angle pair with angle 1, and that angle 1 also corresponds to the given angle.
Answer:The angles which are congruent to the given angle measure are:
∠1, ∠4 and ∠7
what does mean mean
There are more than one mean. The most used mean is the arithmetic mean (generally referred just as mean), which is the average of a set of numerical values. Other commonly used mean is the geometric mean. The objective of the means is to indicate the central tendency or typical value of a set of numbers.
Plz help this is due today NO LINKS OR GROSS PICTURES OR I Will REPORT And please show work
This is a scalene triangle. There are 3 sides, and each side length is different, according to the diagram. This means it's a scalene triangle. Hope this helped!
How do I write -x + 2y= -4 in slope intercept form
Answer:
ok so slope intercept for is y=mx+b, or y=slope x + y intercept. Sooo it would be y=0.5x-2 :) hope this helps
Step-by-step explanation:
Answer:
y = 1/2 x - 2
Step-by-step explanation:
Slope-intercept form:
y = mx + b
You need to solve for y.
-x + 2y = -4
2y = x - 4
y = 1/2 x - 2