Answer:
[tex] - \bigg(3a - \frac{5}{2} b) \bigg)^{2} [/tex]
Step-by-step explanation:
[tex]15ab-9a^2-6 \frac{1}{4} b^2 \\ \\ = 15ab-(3a)^2-\frac{6 \times 4 + 1}{4} b^2 \\ \\ = 15ab-(3a)^2-\frac{24+ 1}{4} b^2 \\ \\ = 15ab-(3a)^2-\frac{25}{4} b^2 \\ \\ = 15ab- (3a)^2- \bigg(\frac{5}{2} b \bigg)^2 \\ \\ = - \{ - 15ab + (3a)^2 + \bigg(\frac{5}{2} b \bigg)^2 \} \\ \\ = - \{ (3a)^2 + \bigg(\frac{5}{2} b \bigg)^2 - 15ab \} \\ \\ = - \bigg(3a - \frac{5}{2} b \bigg)^{2} [/tex]
A baby carriage that is carrying twins is sitting at the top of a knoll that is 21 m high. The carriage with the babies are 48kg. What is the Potential Energy of the twins and the carriage?
Answer:
The Potential Energy of the twins and the carriage is 9878.4 J.
Step-by-step explanation:
Given;
height of the knoll above the ground level, h = 21 m
mass of the carriage with the babies, m = 48 kg
The potential Energy of the twins and the carriage is given by;
P.E = mgh
where;
g is the acceleration due to gravity = 9.8 m/s²
Substitute the givens;
P.E = (48)(9.8)(21)
P.E = 9878.4 J
Therefore, the Potential Energy of the twins and the carriage is 9878.4 J.
Arthur tells you that he is thinking of an irrational number between 4 and 5, and he wants you to guess what it is. One possibility you could guess is _____.
Answer:
An example of an irrational number between 4 and 5 is √20 which is simply 2√5
Step-by-step explanation:
Here, we want to look for an irrational number between 4 and 5
Mathematically, irrational numbers can be represented as a sure
So in this case , a value of this between 4 and 5 is √20 which can be written as 2√5
Answer: ^(20)
Step-by-step explanation:
The square route of ^(20) is, 4.472135954999579; that is between 4 and 5
Austin made 5 quarts of his special from-scratch cupcake mix. He was able to make 32 identical cupcakes using 3.5 quarts of his special mix. Austin would like to bake 20 more identical cupcakes to ice each cupcake in the likeness of a playing-card. Does he have enough left to create 20 additional cupcakes? Explain.
9514 1404 393
Answer:
no
Step-by-step explanation:
We can write a proportion to find how much mix is required to make 52 cupcakes.
quarts/cupcakes = 3.5/32 = x/52
Multiplying by 52, we find ...
x = 52(3.5/32) = 5.6875 . . . quarts needed for 52 cupcakes
This is more mix than Austin made. He does not have enough left for 20 more cupcakes.
What is the inverse of function f?
f(x)=64x^3-1
The inverse function of f(x) is:
[tex]g(x) = \sqrt[3]{(x +1)/64}[/tex]
How to find the inverse function?
Here we have the function:
[tex]f(x) = 64*x^3 -1[/tex]
We want to find the inverse, we will say that is of the form:
[tex]g(x) = \sqrt[3]{a*x + b}[/tex]
If we evaluate f(x) on g(x), we get:
[tex]f(g(x)) = 64*(\sqrt[3]{ax + b})^3 - 1\\ \\f(g(x)) = 64*(ax + b) - 1[/tex]
If these are inverses, that must be equal to x:
[tex]64*(ax + b) - 1 = x\\\\64*a*x + 64*b - 1 = x\\[/tex]
Then:
64*a = 1
a = 1/64
64*b - 1 = 0
b = 1/64
So the inverse function is:
[tex]g(x) = \sqrt[3]{(x +1)/64}[/tex]
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If (4,-3) is the midpoint of the line segment ST and the coordinates of S are (1,5), find the
coordinates of T.
Answer:
[tex](7,-11)[/tex]
Step-by-step explanation:
Given
[tex]S = (1,5)[/tex]
[tex]M = (4,-3)[/tex]
Required
Determine the coordinates of T
Midpoint is calculated as:
[tex]M(x,y) = \frac{1}{2}(x_1 +x_2,y_1+y_2)[/tex]
Where:
[tex](x,y) = (4,-3)[/tex]
[tex](x_1,y_1) = (1,5)[/tex]
Substitute these values in the above formula:
[tex](4,-3) = \frac{1}{2}(1 + x_2,5+y_2)[/tex]
Multiply through by 2
[tex]2 * (4,-3) = 2 * \frac{1}{2}(1 + x_2,5+y_2)[/tex]
[tex](8,-6) = (1 + x_2,5+y_2)[/tex]
By direct comparison:
[tex]1 + x_2 = 8[/tex] and [tex]5 + y_2 = -6[/tex]
Solving for x2
[tex]1 + x_2 = 8[/tex]
[tex]x_2 = 8 - 1[/tex]
[tex]x_2 = 7[/tex]
Solving for y2
[tex]5 + y_2 = -6[/tex]
[tex]y_2 = -6 - 5[/tex]
[tex]y_2 = -11[/tex]
Hence, the coordinates of T is: [tex](7,-11)[/tex]
(02.02)
A rotation is shown in the drawing
Figure
Figure K
Which statement best describes the rotation? (4 points)
Clockwise 90-degree rotation
Clockwise 180-degree rotation
Counterclockwise 90-degree rotation
Counterclockwise 180-degree rotation
clockwise 180 degree rotation
An elevator is on Level 3, which is 45.25 meters
above the ground. It travels to the basement
level, which is 10.42 meters underground.
What is the total distance, in meters, that the
elevator traveled?
Enter your answer as a decimal in the box.
Answer:
55.67 m
Step-by-step explanation:
You just add the two numbers to get the total distance traveled.
Wich expression uses the commutative property to make it easier to evaluate 3/5÷1/4÷25 A 3/5 ÷ 25 ÷1/4 B 25÷4÷3/5 C 5/3 ÷25 ÷1/4 D 3/5 ÷ 1/25 ÷1/4
Answer:
A
Step-by-step explanation:
Trump or Biden.
I'm curious. Please no fightin and i'll make brainlest
Answer:
Biden
Step-by-step explanation: Well I mean Trump done many racist, and mess up stuff so my only choice would be Biden and well hopefully he doesnt do the same thing as Trump
Collateral can be beneficial for borrowers when applying for a loan by
a. offering lenders additional financial gain if borrowers defaults on their loans
b. lessening the total loan amount, making it easier for borrowers to be approved
C. giving lenders protection against financial loss and more reason to approve loans
d. demonstrating that borrowers have ownership of high-end goods and can obviously make their
loan payments
Please select the best answer from the choices provided.
A
B
C
D
When applying a loan, Collateral can be beneficial to the borrower because: (C). giving lenders protection against financial loss and more reason to approve loans
Meaning of Loan and collateralLoan is a form of debt incurred by an individual as a result of recieving money from an individual or organization that will repaid within a definite period.
collateral can be defined as any asset (example: car, house, land etc) that is offered by the borrower to the lender to secure a loan.
it is very important because the lender is secured that if you cant repay the loan he takes the asset.
In conclusion, when taking a loan, collateral is important.
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EXPONENTIAL FUNCTION
Evaluate the following:
1.) 2^-3
2.) 5^-3
3.)6^-6
4.) (5/2)^-2
5.) (7/3)^-3
Ima be doing this for the whole form sorry I’m failing math
Answer:
4,0 2,3 ans solutions this may help
Which angle measurements can form triangle ABC? Select all that apply.
m∠A = 40°, m∠B = 75°, m∠C = 65°
m∠A = 136°, m∠B = 28°, m∠C = 16°
m∠A = 57°, m∠B = 58°, m∠C = 63°
m∠A = 90°, m∠B = 35°, m∠C = 35°
m∠A = 60°, m∠B = 60°, m∠C = 60°
Answer:
A) m∠A = 40°, m∠B = 75°, m∠C = 65°
B) m∠A = 136°, m∠B = 28°, m∠C = 16°
E) m∠A = 60°, m∠B = 60°, m∠C = 60°
Step-by-step explanation:
edge
The angle measurements that can form triangle ABC are
m∠A = 40°, m∠B = 75°, m∠C = 65°m∠A = 136°, m∠B = 28°, m∠C = 16°m∠A = 60°, m∠B = 60°, m∠C = 60°How to determine the angle measurements?The angle measurements that can form a triangle must add up to 180 degrees.
i.e. a + b + c = 180
Using the above formula, we have:
40 + 75 + 65 = 180
136 + 28 + 16 = 180
60 + 60 + 60 = 180
Other angles do not add up to 180.
Hence, the angle measurements that can form triangle ABC are
m∠A = 40°, m∠B = 75°, m∠C = 65°m∠A = 136°, m∠B = 28°, m∠C = 16°m∠A = 60°, m∠B = 60°, m∠C = 60°Read more about triangles at:
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What is the area of the shaded triangle inside the square? Round your answer to the nearest square inch.
A triangle has a base of 16 inches and a height of 16 inches.
_____ in²
Answer:
I believe the answer is the triangle has an area of 256 inches. I may be wrong though.
Step-by-step explanation:
Answer:
128 in² but only type 128 to complete the answer
Step-by-step explanation:
Find the missing side lengths leave your answers as radicals
Answer:
Step-by-step explanation:
n = 20 (because it’s a 45° triangle so two angles are 45° which means two legs are equal)
to find m:
20^2 + 20^2 = m^2
400 + 400 = m^2
800 = m^2
m = square root(800)
m = square root(400)xsquare root(2)
m = 20square root(2)
The length of a bridge is 1.5 cm.Whet is the actual length of the bridge in meters if the map is drawn at a scale of 1:40000
Answer:
800
Step-by-step explanation:
1:5 and 1:40000
40000/5 is 800
Actual length is 800.
Hope this helps :D
pls pls help it closes in 40 minutes pls tell me how you got your answers ty
picture included
Step-by-step explanation:
u just have to draw a graph nd start at -2 which goes down -2 twice then go up 4 over 1 nd u just connect the lines nd find the slope of the lines that's how I learned it
Answer:
Hi, I'm not sure how to answer number 1 or 2 but here are my answers for 3-6
Step-by-step explanation:
3) 2
My work: y+3=2(x-2)
y+3=2x-4
y=2x-7
4) (2,25)
My work:
y-1=3(x+6)y-1=3x+18y=3x+19y=3(2)+19y=6+19y=25(2,25)5) 1/8
6) -7
Can someone please help me and tell me if this is correct or no I’ll give brainliest
Please be honest
Answer: B
Step-by-step explanation: i googled it
A carnival charges $5 to get in, plus $2 per ride. Which equation represents the relationship between the number of carnival rides a person rides x and the cost of attending the carnival y.
x= 2x+5
y= 2x-5
y= 2x+5
y= 5-2x
Answer: y= 2x+5
Step-by-step explanation:
The following table shows the distance from school as a function of time:
Time (in minutes)
x Distance (in meters)
f(x)
0 36
3 32
6 28
9 24
12 20
Find and interpret the meaning of the x‐intercept in this scenario.
(36, 0); the distance away from the school
(27, 0); the time it takes to reach the school
(36, 0); the time it takes to reach the school
(27, 0); the distance away from the school
Answer:
c
Step-by-step explanation:
It shows that The x intercept values are under the time label
Answer:
C
Step-by-step explanation:
Help urgently for brainliest
Answer: X= 10 buddy, tilt the triangle and it obvious.
Don't know wut dey meen by simplify but its 10.
What is the remainder after you divide 7*7*7... 124 times by 4
Answer:
1
Step-by-step explanation:
Remainder if 7*7*7... 124 times is divided by 4
The remainder when (7^124) / 4
Using python console:
a = 7**124
b = 4
c = a%b
print(c)
Output = 1
Hence, the remainder when 7^124 is divided by 4 is 1
Please answer this simple math question(CLICK TO SEE PICTURE) ITS MULTIPLE CHOICE. Answers are not exact! (it's not the one I chose) TY!
Please I need Help!!!!
Answer:
$1.19
Step-by-step explanation:
$2.38/2 weeks
Which of the following expressions are equivalent to -1/2 ?
Answer:
there are no other expressions....
Step-by-step explanation:
Raul makes aluminum poles in the shape of rectangular prisms. If he removes the covers on both
ends, he can lower his cost per pole. How much aluminum in square feet will Raul save per pole if he
chooses to remove the covers at the ends of the poles? Use the given figures.
Step-by-step explanation:
2feet
feet
feet
feet
feet
feet
feet
2
2
2
2
2
2
A graphic designer worked 20 hours last week. Their hourly rate is 19.52 per hour. How much money did they make last week before taxes
Answer:
20 * 19.52 = 390.40
Thank you and please rate me as brainliest as it will help me to level up
You have won the state lottery. There are two ways in which you can receive your prize. You can either have $1 million in cash now, or you can have $1.2 million that is paid out as follows: $300,000 now, $300,000 in one year’s time, $300,000 in two years’ time, and $300,000 in three years’ time. The interest rate is 20%. The present value of the payments over three years is:
Answer:
pv=z/(1+R)^N
Step-by-step explanation:
I hope this helps!!!
The present value of the payments over three years is $1600000.
Given that, the prize of lottery money is $1 million.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Simple interest is calculated with the following formula: S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years.
Now, P=$1,000,000, R=20% and T=3 years
So, S.I. = (1,000,000 × 20 × 3)/100
= 600000
Amount = 1,000,000+600000
= $1600000
Therefore, the present value of the payments over three years is $1600000.
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how many squares do I have to draw in(10 x 10 grid) for the percentage of 57.74%??
Answer:
There is obviously only 1 10x10 square. If we start with a 9x9 square in the top left corner, we can move it down 1, across 1 and back up 1, so there are 4 possible 9x9 squares.
For 8x8 we can move down 1, then 2 and we can move across 1 or 2 so that's 9 possible 8x8 squares.
For 7x7 we can go down 3 and across 3, so that's 4x4=16 possible squares.
The pattern is now clear the total number if squares is 1+4+9+16+…+100.
There's a formula for this, which I had to look up, but any the sum of the first n squared is 1/6n(n+1)(2n+1)1/6n(n+1)(2n+1), so the total number of squares is 10x11x21/6=5x11x7=385.
There are 3 cats in a room and no other creatures.each cat has 2 ears, 4 paws, and 1 tail
Answer: theres really no question here
Step-by-step explanation: