Answer:
The answer is = 4 - 12t + 9t^2
Step-by-step explanation:
(2-3t)^2
= 2^2 - 2*2*3t + (3t)^2
= 4 - 12t + 9t^2
Q- y = 7 is a line which is-(A) Parallel to y-axis (B) Parallel to x-axis (C) Passing through (7, 7) (D) Passing through origin
Answer:
(B) Parallel to x-axis
Step-by-step explanation:
y = 7
This is a constant line, in which the value of y is always of 7, no matter the value of x.
In a line in which the value of y is constant, this line is parallel to the x-axis, so the correct answer to this question is given by option b.
Find the rate, or percent, for each of the following items. Round your answers to the nearest 0.1%.
Base 72; percentage 12
Percentage 28; base 224
Base 20; percentage 40
Base 44; percentage 99
Percentage 126; base 8400
Answer:
The percentages are as follows: 1) 16.6%, 2) 12.5%, 3) 200%, 4) 225%, and 5) 1.5%.
Step-by-step explanation:
To find the rate, or percent, for each of the following items, the following calculations must be performed:
1) Base 72; percentage 12 = 12/72 = 0.1666 x 100 = 16.6
2) Percentage 28; base 224 = 28/224 = 0.125 x 100 = 12.5
3) Base 20; percentage 40 = 40/20 = 2 x 100 = 200
4) Base 44; percentage 99 = 99/44 = 2.25 x 100 = 225
5) Percentage 126; base 8400 = 126/8400 = 0.015 x 100 = 1.5
Therefore, the percentages are as follows: 1) 16.6%, 2) 12.5%, 3) 200%, 4) 225%, and 5) 1.5%.
Answer:
Step-by-step explanation:
Mr yates owns a smoothie shop. To mix a batch of his famous orange punch smoothies, he uses 18 ounces of freshly squeezed orange juice. Each day he squeezes 560 ounces of fresh orange juice. How many batches of orange punch smoothies can he make in a day?
Answer:
31 batches
Step-by-step explanation:
Find how many batches of orange punch smoothies he can make by dividing 560 by 18:
560/18
= 31.11
Since we can only have a whole number answer, round down.
So, he can make 31 batches of orange punch smoothies.
Which is equivalent to 3V8^1/4x
BROO SM PLS HELP
Answer:
= 24 3/4x
Step-by-step explanation:
3* 8 1/4x
Here 8 1/4 is a mixed fraction.
Convert it to improper fraction
8 1/4 = 33/4
So, 3*33/4 x
99/4 x
= 24 3/4x
That is
Hope this will helpful.
gimmie brainlist :)
1 2 3 4 5 6 7 8 9 10
TIME REMAINING
58:09
Fiona wrote out the description of each step for her multiplication of the binomial and trinomial (2x – 3)(5x2 – 2x + 7).
A table titled Fiona's Product with 2 columns and five rows. The first column is labeled steps with 4 steps shown. The second column is labeled result and shows 5 result expressions.
In which step did Fiona make an error?
Step 1
Step 2
Step 3
Step 4
Answer:
(2x – 3)(5x^2 – 2x + 7)
=103−192+20−21
Hope This Helps!!!
Mary has a rectangular driveway. She measures it and finds out it is 14 1/4 feet long by 17 1/2 feet wide. She wants to know how many square feet of paint she will need to completely cover the driveway.
Answer:
253.75 square feet
A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 80 pounds. The truck is transporting 60 large boxes and 65 small boxes. If the truck is carrying a total of 4975 pounds in boxes, how much does each type of box weigh? X Large box: pounds Small box: ( pounds 5 ?
Answer:
small = 35 pounds
large = 45 pounds
Step-by-step explanation:
Let x = large boxes
y = small boxes
two equations can be derived from the question
x + y = 80 equation 1
60x + 65y = 4975 equation 2
multiply equation 1 by 60
60x +60y = 4800 equation 3
subtract equation 2 from 3
5y = 175
y = 35
substitute for y in equation 1
x + 35 = 80
x = 80 - 35
x = 45
What is the probability of landing on a number on the spinner that is less than 3?
1/4
3/8
5/8
1/2
Answer: 1/4
Step-by-step explanation:
Reword the problem. It says what is the probability of landing on 2 or 1. That is 2 possibilities out of 8 so 2/8 = 1/4
Can you please help. Evaluate angles d and e, giving reasons for your answer.
Answer:
<d = 25 degrees and <e = 130 degrees
Step-by-step explanation:
We have a vertical angle, so the opposite sides of this angle are the same. This means that the angle opposite to 25 degrees also measures 25 degrees. We have one angle of the triangle. Since the triangle is isosceles, the angle d is the same as 25 degrees.
<d = 25 degrees
The interior angles of a triangle add up to 180 degrees, and we now have 2 angles, so:
<e = 180 - 25 - d
<e = 155-25
<e = 130 degrees
Answer:
<d = 25 degree and <e = 130 degree
Step-by-step explanation:
Let <d, <e and <f be the respective angles
<f = 25 degree (Vertically opposite angles are equal)
side fe = side ed (given)
Therefore, <f = <d (angles opposite to equal sides are equal)
Therefore, <d = 25 degree
<d + <e + <f = 180 degrees (Angle sum property)
25 + 25 + <e = 180
50 + <e = 180
<e = 180 - 50
<e = 130 degree
Therefore, <d = 25 degree and <e = 130 degree
Hope u understood
Please mark as brainliest
Thank You
Mary took 8 tests in science and received the following scores: 87,60,76,92,63,91,88,75
Answers:
mean = 79mode = nonemedian = 81.5=================================================
Explanation:
To get the mean, you add up the numbers and then divide by n = 8, since there are 8 scores
Adding the scores gets us: 87+60+76+92+63+91+88+75 = 632
Divide that over n = 8 to get 632/n = 632/8 = 79
The mean is 79
You have the correct answer. Nice work.
---------------
The mode is the most frequent value.
In this data set, we don't have any repeated values. Each unique number is listed one time only. So that tells us we don't have a mode here.
---------------
To get the median, we need to sort the items from smallest to largest
{87,60,76,92,63,91,88,75} sorts to {60,63,75,76,87,88,91,92}
Because we have n = 8 values, which is an even number, this tells us that the median is between slot n/2 = 8/2 = 4 and slot 5
The values 76,87 are in slots four and five in that order. Add them up and divide by 2: (76+87)/2 = 163/2 = 81.5 is the median
Does this graph show a function? Explain how you know
How do you solve this??
Answer:
[tex]a_n=-\frac{9}{4} +\frac{1}{4} *n; \ a_{45}=9.[/tex]
Step-by-step explanation:
1. the difference between two sequent term is: 2- 7/4=7/4 - 3/2 = 3/2 - 5/4=... = 1/4.
2. using the value of the calculated difference it is possible to make up the formula of the given sequence ('n' - the number of term):
[tex]a_n=-\frac{9}{4}+\frac{1}{4} n.[/tex]
3. for n=45:
[tex]a_{45}=-\frac{9}{4}+45*\frac{1}{4}=9.[/tex]
WILL GET BRAINLIEST
Which does NOT represent the interior angle measures of a triangle? A.5°, 75°, 100°B.10°, 80°, 90°C.20°, 60°, 100°D.45°, 45°, 45°E.50°, 50°, 80°
Answer:
3 * 45 = 135 which is NOT 180
45, 45, 90 would work
Step-by-step explanation:
hope it helps!
Find the equation of a line with a slope of -9, passing through the point (1, -3). Enter
this equation in slope/y-intercept form in the blank
Answer:
y=-9x+6
Step-by-step explanation:
y-y1=m(x-x1)
y-(-3)=-9(x-1)
y+3=-9(x-1)
y=-9x+9-3
y=-9x+6
What type of transformation does shape A undergo to form shape B?
Answer:
Rotated 90° counterclockwise, then reflected across the y-axis
Step-by-step explanation:
Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures cell phones can be modeled by the polynomial 2x2 + 55x + 10. The cost, in dollars, of producing the cell phones can be modeled by 2x2 – 15x – 40. The variable x represents the number of cell phones sold.
What expression represents the profit, and what is the profit if 240 cell phones are sold?
40x – 30; $2,400
40x – 30; $9,570
70x + 50; $16, 850
70x + 50; $28,800
Answer:
C
Step-by-step explanation:
Given that the equation of the revenue is R=2x2+55x+10 and the equation of the cost is C=2x2 – 15x – 40, you will get the profit by subtracting the revenue from the cost: R-C=P. Therefore, P=(2x2+55x+10)-(2x2 – 15x – 40). You will get P=70x+50 where x is is the number of cellphones sold. If 240 cellphones are sold, then the profit is 16850 dollars.
The profit, if 240 cell phones are sold, is $16,850.
Profit = 70x + 50
Option C is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example: so
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The profit, in dollars, can be found by subtracting the cost from the revenue:
Profit = Revenue - Cost
= (2x² + 55x + 10) - (2x² - 15x - 40)
= 70x + 50
The expression for profit is 70x + 50.
To find the profit if 240 cell phones are sold, we substitute x = 240 into the expression for profit:
Profit = 70x + 50
= 70(240) + 50
= 16,850
Therefore,
The profit, if 240 cell phones are sold, is $16,850.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ5
? What is the solution of a system defined by 5x + 2y = 30 and -5x + 4y = 0? 0 (0, 30) O (6, 15) O (4,5) 0 (6,0)
Answer:
(4,5)
Step-by-step explanation:
Hi there!
We are given the system of equations:
5x+2y=30
-5x+4y=0
and we need to find the solution
there are 3 ways to solve a system of equations, but let's use the elimination method, where we will add the systems together to clear one variable out, solve for the other variable, and use the value of the solved variable to find the other variable
When we clear a variable, the coefficients need to be opposites (ex. 2 and -2). In this case, the coefficients in front of x are 5 and -5 in the first and second equation respectively
5x+2y=30
-5x+4y=0
add the equations together
6y=30
divide both sides by 6
y=5
we found the value of y
now we need to find the value of x
substitute 5 as y into either one of the equations (ex. the first one) to solve for x
5x+2(5)=30
multiply
5x+10=30
subtract 10 from both sides
5x=20
divide both sides by 5
x=4
so the answer is x=4, y=5; as a point, it's (4,5)
Hope this helps! :)
the length of a pond is 1700 CM breadth is 14m and height is 1000 CM if a point is half filled calculate the volume of a water in the pond
Answer:
1190 m^3
Step-by-step explanation:
l = 1700 cm = 17 m
b = 14 m
h = 1000 cm = 10 m
Total volume = l × b × h
= 17 × 14× 10
= 2380 m^3
since it is half filled ,
Volume is half , so,
volume of water in pond = 2380 ÷ 2
= 1190 m^3
The school bought 957 science books, 1054 mathematics books, and 458 reading books. Put the books in order from least to greatest.
Answer:
reading books (458), science books (957), mathematics books (1054)
Step-by-step explanation:
458 is less than 957 and 1054, while 957 is less than 1054 but more than 458, and 1054 is more than 957 and 458.
458<957<1054
All swimming equipment is on sale with a 30% discount. A snorkeling set regularly sells
for $50. Find the discount.
Answer:
15
Step-by-step explanation:
50 * .30=15
What is the explicit formula for this arithmetic sequence?
-10,-17, -24, -31, ...
Answer:
D
Step-by-step explanation:
The starting term is a1.
That's the very first term.
a1 = - 10
The second term = -17 which means that you added - 7 to - 10.
So d must be - 7
The formula must be
an = a1 + (n - 1)*d
an = -10 + (n - 1)(-7)
You might wonder why it is n - 1. The reason is because the first term is already added on the right side. The -1 means that we have already included the first term.
We should try the formula out to see what it does. Let's find a4
a4 = -10 + (4 -1)*-7
a4 = -10 + 3(-7)
a4 = -10 - 21
a4 = - 31 which is what the question suggests.
х
f(x)
18
6
What is the decay factor of the exponential function
represented by the table?
-1
0
1
2.
WINNO
o
O 2
O 2
O 6
Answer:
winno o 6
Step-by-step explanation:
Evaluate 2(x + 1) - 3 when x= 6.
A. 8
B. 5
c. 11
D. 10
Answer:
11
Step-by-step explanation:
2(x + 1) - 3
Let x= 6
2(6+1) -3
Parentheses first
2(7) -3
Then multiply
14-3
Then subtract
11
x² + 8x + 16 =
I need the steps and the answer
and the box
Answer:
The answer is (x+4)
Step-by-step explanation:
Just write the expression as a product with the factor x and 4
x²+2×x×4+4+16
then write the number in the exponential form with an exponent of 2
x²+2×x×4+4²
then use a² +2ab +b² = (a+b)² yo factor the expression which you get (x+4)
Kharter goes to a gas station near his house where it costs $2.95 per gallon. Kharter’s car hold’s 13.2 gallons. The gas station near Devin’s house sells gas for $3.03 per gallon and his car holds 11.8 gallons
Which is the graph of the system x + 3y > -3 and y < 1/2x + 1
Answer:
4th graph
Step-by-step explanation:
x + 3y > -3
3y > -x - 3
y > -(1/3)x - 1
Blue Line
y < 1/2x + 1
Orange Line
y- intercepts = -1 and 1
which step in the construction of coping a lin segment ensures that the new line segment has the same length as the original line segment
Step-by-step explanation:
Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.
Here are the steps I think you probably will go through.
1. Draw a line that is longer than the segment but shorter than the width of the page.
1a. Make sure this line is at least 1/2 inch from the left hand side.
2. Use a compass to measure the length of the original segment. Never use a ruler. Rulers do not exist in pure geometry.
3. Measure out the distance on the line you just drew with the compass. One end is on the left hand edge and the other end (the pencil end) is marking the segment so it is the same length as the compass. You are done.
The key step either two or three.The steps to copy a line segment are given below:
1. Lets start with a line segment AB that we have to copy.
2. Now mark a point C. below or above AB, that will be one endpoint of the new line segment.
3. Now, put the compass tip on point A of the line segment AB.
4. Spread the compass up to point B, so as the compass width is equal to length of AB.
5. Without changing the compass width, now place the compass tip on the point C that you made in step 2.
6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.
7. Draw a line from C to D.
Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.
Sum of two digit number is9.When we interchange the digits it is found that the resulting new number becomes twice the other number. What are the numbers
Answer:
4 and 5
Step-by-step explanation:
Let the numbers be x and y
If their sum is 9, hence;
x + y = 9 ....1
When reversed
10y+x = 2(10x+y)
10y+x = 20x + 2y
10y - 2y = 20x - x
8y = 19x
y = 10x/8 ...2
Substitute equation 2 into 1;
From 1;
x+y = 9
x +(10x/8) = 9
18x/8 = 9
18x = 72
x = 72/18
x = 4
Since x+y =9
y = 9-x
y =9-4
y = 5
Hence the numbers are 4 and 5
Choose either YES or NO to tell whether the expression is equivalent to 179 x 44
(179 x 40) + (179 x 4)
(100x4)+(70 x 4)+(9 x 4)
4,000 + 2,800 + 360 + 400 + 280 + 36
(100 x 44) + (70 x 44)+ (9 x 44)
179 (4 + 4)
Answer:
Step-by-step explanation:
(179 * 40) + (179 * 4) = 179 *(40 + 4) = 179 * 44
YES
(100 * 4) + 70*4 + 9*4 = 4 * ( 100 +70 + 9) = 4 * 179
No
4000 + 2800 + 360 + 280 +36 = 7876 = 179 *44
YES
(100 *44) + (70*44) + (9*44) = 44 * (100 + 70 +9) = 44 * 179
YES
179 *(4 +4) = 179 * 8
NO
Which is the graph of f(x) = (x + 3)(x - 2
Answer:
Step-by-step explanation:
f(x) = (x + 3)(x - 2) has two zeros: One stems from (x + 3) = 0 and is (-3, 0); the other stems from (x - 2) = 0 and is (2, 0).
The axis of symmetry is a vertical line located halfway between -3 and 2:
x = -1/2.
The graph opens up because the given (x + 3)(x - 2) has a positive leading coefficient (+1).
With this information we can eliminate the last two possible answers. Note that the x-intercepts of the first graph are -3 and 2, Thus, the first graph is the correct one.
