Answer:
[tex]g(x)=x^2+1[/tex]
Step-by-step explanation:
The given function is
[tex]h(x)=x^2-3[/tex]
If a function translated vertically upward by p units, then we need to add p in the function value to get the new function.
It is given that if the graph of h is translated vertically upward by 4 units, it becomes the graph of a function g. So,
[tex]g(x)=h(x)+4[/tex]
[tex]g(x)=x^2-3+4[/tex]
On simplification, we get
[tex]g(x)=x^2+1[/tex]
Therefore, the required function is [tex]g(x)=x^2+1[/tex].
A rectangle has width twice its height. If the perimeter is 12cm what are the dimensions of the rectangle?
Answer: height = length = 2 cm
Width = 4 cm
Step-by-step explanation:
P = 2 (l + b)
12 = 2 (x + 2x)
12 = 2x + 4x
12 = 6x
X = 12/2 = 2 cm
Does the function model exponential growth or decay?
h(t) = 0.25 - 1.5t
A.) growth
B.) decay
Answer: it’s growth
Step-by-step explanation:
What is the volume of the pyramid h=9.6 l=8.5 w=8.5
Answer:
V = 231.2
Step-by-step explanation:
v = (l * w * h )/3
Answer:
V ≈ 231.2
Step-by-step explanation:
Using the formula: V = 1/3 x L x W x H
Consider the graph of function, f, below.
Select the true statement.
Α. The graph has a slope of
B. The graph is negative on the interval (-4,-2).
C. The graph has a y-intercept of 2.
D. The graph is increasing on the interval [4, 6].
Find the diameter of the object.
A circular steering wheel with radius labeled 0.8 feet.
diameter:
ft
in order to find the diameter, you multiply the radius times 2.....so you would do 0.8 times 2 which equals 1.6
The diameter of the circular steering wheel is 1.6 feet
How to determine the diameter?The radius of the object is given as:
r = 0.8 feet
Multiply both sides by 2, to determine the diameter
d = 2 * 0.8 feet
Evaluate
d = 1.6 feet
Hence, the diameter of the circular steering wheel is 1.6 feet
Read more about diameter at:
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Which ordered par Woud form a proportional relationship with the point graphed Below?
A (10,10)
B (25,35)
C (70,50)
D (90,60)
Help!!!!!!
Describe the process you can use to solve a system of equations using a matrix.
Answer:
To solve a system of linear equations using an inverse matrix, let A be the coefficient matrix, let X be the variable matrix, and let B be the constant matrix.
Step-by-step explanation:
It just be that way sometimes
Which statement about the credibility of this source is most accurate ? A.
Answer:
C. The source is credible because it contains facts and information that are accurate.
Step-by-step explanation:
The statistics(60%) used provide facts on the topic that make the source credibleNEED HELP ASAP
Find the volume of the cylinder. r measures 7 inches, height measures 8 inches
Answer:
1230.88
Step-by-step explanation:
Volume= pi(r^2)h
Volume=3.14(49)(8)
Volume=1230.88
Need Help Please, Stressing out :( and Thank you:)
Answer:
please don't be stressed :)
2. c
Step-by-step explanation:
2. if 1,000 is one kilogram then 1,412 = 1.412.
sorry i could only answer 1 but hope this helps
If you need 4 tables spoons of golden syrup to make 10 cupcakes, how many tables spoons of golden syrup will you need to make 4 cupcakes.
Answer:
1.6 tablespoons
Step-by-step explanation:
Let’s make a proportion
syrup/cupcakes=syrup/cupcakes
4 tablespoons are needed for 10 cupcakes and x tablespoons are needed for 4 cupcakes.
4/10=x/4
Now we have to solve for x. x is being divided by 4. To reverse this, multiply both sides by 4, because multiplication is the opposite of division.
4*4/10=x/4*4
The 4s on the right will cancel, so we are left with:
4/4*10=x
1.6=x
So, 1.6 tablespoons are needed for 4 cupcakes.
The triangles are congruent by SSS or HL. Triangle A B C is reflected across B C to form triangle A prime B C. Triangle A prime B C is then rotated about point A to form A prime B prime C prime. Triangle A prime B prime C prime is then shifted to the right to form A double-prime B double-prime C double-prime. The diagram shows the sequence of three rigid transformations used to map TriangleABC onto TriangleA"B"C". What is the sequence of the transformations? rotation, then reflection, then translation rotation, then translation, then reflection reflection, then translation, then rotation reflection, then rotation, then translation
Answer:
reflection, then rotation, then translation
Step-by-step explanation:
Read the problem statement. It tells you the sequence:
Triangle A B C is reflected across B C to form triangle A prime B C. Triangle A prime B C is then rotated about point A to form A prime B prime C prime. Triangle A prime B prime C prime is then shifted to the right to form A double-prime B double-prime C double-prime.
The transformations are ...
reflection, then rotation, then translation
Answer:
Reflection, Rotation, translation
Step-by-step explanation:
Read the problem statement. It tells you the sequence:
Triangle A B C is reflected across B C to form triangle A prime B C. Triangle A prime B C is then rotated about point A to form A prime B prime C prime. Triangle A prime B prime C prime is then shifted to the right to form A double-prime B double-prime C double-prime.
The transformations are ...
Two sides of a triangle are as follows: 2 centimeters and 5 centimeters. Describe the possible lengths of the third side
Answer:
3cm < Third side < 7cm
Thus third side can take any value between 3cm and 7 cm
(note: excluding 3 cm and 7 cm)
If the value are integral then possible values of third side are
4cm, 5cm,6cm
Step-by-step explanation:
This question can be solved using given by Triangle Inequality Theorem Given below.
Sum of two sides is always greater than value of third sideDifference of two sides is always less than value of third sideGiven two sides are 2cm, 5cm
Sum of two sides = (2+5)cm = 7 cm
Difference of two sides = (5-2) = 3 cm
Let the third side be X
thus according to Triangle Inequality Theorem
X < Sum of two sides of given triangle
X < 7cm -----1
X > Difference of two sides
X > 3cm ----1
combining expression 1 and 2 we have
3cm < X < 7cm
Thus third side can take any value between 3cm and 7 cm
(note: excluding 3 cm and 7 cm)
If the value are integral then possible values are
4c, 5cm,6c
PLEASE HELP 35 POINTS!!!!!!
In two or more complete sentences discuss the advantages and disadvantages of investing in a 529 plan versus investing in a money market account.
Answer:
Step-by-step explanation:
A 529 plan (Qualified tuition plan) is a tax-advantaged savings plan for future education costs while a money market account refers to a investment or a deposit with a financial institution that earns interest based on the current rates.
Money market deposit accounts are better choices than 529 plan for money you might need to tap at a moment’s notice to cover an emergency or an unexpectedly large expense. They pay higher interest than ordinary savings accounts and give you immediate access to your money
While in 529 savings plan, If you don’t use the money invested for college tuition, you will be penalized 10 percent when you withdraw the money to use it for something else. In addition, both your state and the federal government will tax the earnings on your account in your current tax bracket.
The basic advantage of 529 plan over money market account is the tax-advantage that is the amount invested or withdrawn is tax free. It also has high return and funds from it can be used for another beneficiary who is a qualified family member. Whereas the disadvantage is that the 529 plan is a specified fund for future education purposes. This makes it restricted as the fund can not be transferred for a different use. Unlike the money market account whose use is not restricted. It can be withdrawn to meet diverse financial needs including education. More so, funds in the money market account are insured and can be easily accessed.
In essence, the 529 plan is a specific investment while a money market account is more general in nature.
Answer:
im grounded bc i cheated with this
Step-by-step explanation:
Find the value of X
X=
Part B
Find the measure of RPS
A. 45
B. 36
C. 60
D. 64
Answer:
x=8
RPS = 36
Step-by-step explanation:
QPS = 180
The two angles that form QPS
QPR + RPS = 180
7x+88 + 3x+12 = 180
Combine like terms
10x+100 =180
Subtract 100 from each side
10x = 180-100
10x = 80
Divide by 10
x =80/10
x = 8
RPS = 3x+12
= 3(8)+12
24+12
36
Find the value of x and y
Answer:
x=24 y=19
Step-by-step explanation:
2y=y+19
y=19
2x-8=x+16
x=16+8
x=24
Answer:
x = 24
y = 19
Step-by-step explanation:
Set the expressions with the x-variables together, and the y-variables together, like so:
2x - 8 = x + 16
Subtract x from both sides:
x - 8 = 16
Add 8 to both sides:
x = 24
Solving for y:
2y = y + 19
Subtract y from both sides:
y = 19
Based on the boxplot, which statement below is true?
A) The range of both box plots is about the same.
B) The means of both plots are approximately equal.
C) Plot B contains more data points than Plot A.
D) The mediums are approximately equal.
Answer:
A
Step-by-step explanation:
how do you write the algebraic notation when the scale factor is 3
Answer:
(x,y) = (3x,3y)
Step-by-step explanation:
Answer:
I can agree
Step-by-step explanation:
Find the length of arc KN.
can a genius help me??please
Answer:
Length KN = 2π/3 = 2.094
Step-by-step explanation:
Length KN = (mKN/360)2πr
Length KN = (40/360)2π3
Length KN = (1/9)6π
Length KN = 6π/9
Length KN = 2π/3 = 2.094
Which set of side lengths is a Pythagorean triple?
A) 1, 3, 10
B) 4, 5, 9
C) 9, 40, 41
D) 16, 30, 44
Answer:
A 1,3,10
Step-by-step explanation:
3, 4, 10. This means that 3 and 4 are the lengths of the legs and 5 is the hypotenuse.
A square pyramid has a base with a total area of 144 m2 and the volume of 384m3, what is the slant height of the pyramid
Answer:
8mStep-by-step explanation:
Volume of a square based pyramid is expressed as [tex]V = a^{2} \frac{h}{3}[/tex] where;
a is the base edge
a² is the base area
h is the slant height
Given Volume of the pyramid V = 384m³
Base area a² = 144m²
h =?
On substituting to get the slant height;
[tex]384 = 144*\frac{h}{3}\\ 1152 = 144h\\h = \frac{1152}{144} \\h = 8m[/tex]
The slant height of the pyramid is 8m
Amy must choose a number between 55 and 101 that is a multiple of 3, 6, and 7. Write all the numbers that she could choose. If there is more than one number, separate them with commas.
Answer:
84
Step-by-step explanation:
L.C.M. of 3,6,7=42
42×1=42
42×2=84
42×3=126
55<84<101
If a=3i-7j and b=5i+2j, find a-b
A.2i-9j
B.2i-5j
C.8i-5j
D.8i-9j
Please explain how you solve this because i am confused
Answer:
- 2i - 9j
Step-by-step explanation:
a - b
= 3i - 7j - (5i + 2j) ← distribute
= 3i - 7j - 5i - 2j ← collect like terms
= - 2i - 9j
None of the answers on your list
If I have a probability of 2/5, what is the percentage of probability.
A. 52%
B. 40%
C. 2.5%
D. 80%
Answer: 40%
Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.
So to write 2/5 as a percent, we need to find a fraction equivalent to 2/5 that has a 100 in the denominator.
We can do this by setting up a proportion.
[tex]So[/tex] [tex]we[/tex] [tex]have[/tex] [tex]\frac{2}{5} = \frac{n}{100}[/tex].
Now, we can use cross-products to find the missing value.
So we have (2)(100) which is 200 is equal to (5)(n) or 5n.
So we have 200 = 5n.
Next, dividing both sides of the equation by 5, we have 40 = n.
So 2/5 is equal to 40/100 or 40%.
Find the interquartile range (IQR) of the data in the box plot below.
Asap ASAP Please PLZ
Answer:
3
Step-by-step explanation:
IQR is the difference between the upper and lower medians so the IQR = 7 - 4 = 3
The interquartile range (IQR) of the data in the given box plot is: 3.
What is the Interquartile Range (IQR) of a Data?In a box plot, the interquartile range (IQR) is the difference between the upper quartile and the lower quartile which are represented as each edge of the rectangular box.
Upper quartile = 7Lower quartile = 4Interquartile range (IQR) = 7 - 4
Interquartile range (IQR) = 3
Learn more about Interquartile range (IQR) on:
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The hourly wages earned by 20 employees are shown in the first box-and-whisker plot below. The person earning $15 per hour quits and is replaced with a person earning $8 per hour. The graph of the resulting salaries is shown in plot 2. A box-and-whisker plot is shown. The number line goes from 7 to 15. The whiskers range from 8 to 15, and the box ranges from 8.8 to 10.2. A line divides the box at 9.5. Plot 1 A box-and-whisker plot is shown. The number line goes from 7 to 15. The whiskers range from 8 to 11, and the box ranges from 8.7 to 10. A line divides the box at 9.6. Plot 2 How does the mean and median change from plot 1 to plot 2? The mean and median remain the same. The mean decreases, and the median remains the same. The mean remains the same, and the median decreases. The mean and median decrease.
Answer:
The mean decreases, and the median remains the same.Step-by-step explanation:
Remember that a box plot is made by the quartiles of the distribution, the maximum value and the minimum value. So, from a box plot we can deduct the range, the median and the interquartile range.
In this case, the median remains the same at $9.5 per hour. The median is indicated by the middle line of the box, and you can observe that it doesn't change.
Now, the range of the data set decreases from 7 to 3.
On the other hand, the mean must decrease, because data greater than $11 doesn't exist in the box plot number 2, and the mean is a central measure sensible to those changes.
Therefore, the right answer is The mean decreases, and the median remains the same.
Answer:
the awswer is b
Step-by-step explanation:
took the test
Which of the situations describes a temperature of –2 degrees?
2 degrees colder than 1 degree
2 degrees colder than 0 degrees
2 degrees warmer than 1 degree
2 degrees warmer than 0 degrees
Answer:
B
Step-by-step explanation:
Fill out the following table.
Do you see a pattern? Do you think this will always be true? Why or why not?
Answer:
I had the same question just without the why or why not, But it will always be true :)
Step-by-step explanation:
Hope It Helps :)
Which function describes the graph shown below?
On a coordinate plane, a curve crosses the y-axis at (0, negative 2), increases to negative 2.5, decreases to negative 2.5, and then increases again.
y = one-half sine (x) minus 2
y = 2 sine (x) minus one-half
y = one-half cosine (x) minus 2
y = 2 cosine (x) minus one-half
Answer: A
Step-by-step explanation:
The amplitude is .5 and the vertical translation is -2. So, y= 1/2sin(x)-2
Answer:
A. y= 1/2 sin(x)-2
Step-by-step explanation:
Correct in edge 2021!
(-15)+(-45)/-5 .........please help
Answer:
60
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
I added (-15) + (-45) and got -60.
And i divided it by -5 and got 12.
