Answer:
m = 8
Step-by-step explanation:
Expand the left side
Each term in the second factor is multiplied by each term in the first factor
7a²(4a² - 1) + 2a(4a² - 1) - 3(4a² - 1) ← distribute parenthesis
= 28[tex]a^{4}[/tex] - 7a² + 8a³ - 2a - 12a² + 3 ← collect like terms
= 28[tex]a^{4}[/tex] + 8a³ - 19a² - 2a + 3
Comparing the coefficients of like terms with those on the right , then
m = 8
Alyssa is getting gas for her car. Her car's 15-gallon tank has 15 of a tank of gas left. If gas costs $2.699 per gallon, how much will she pay for gas, rounded to the nearest cent?
Answer: $32.39
Step-by-step explanation:
The car's tank has a capacity of 15 gallons and has only 1/5 of a tank left which means that the quantity left is:
= 1/5 * 15
= 3 gallons
If Ayssa is going to fill up the tank, the number of gallons needed is:
= 15 - 3
= 12 gallons
Gas is $2.699 per gallon so cost is:
= 12 * 2.699
= $32.39
Help me plssssssssssss.
Answer:
5
Step-by-step explanation:
If Johnny borrowed $1,300 for 5 years on a 7% interest rate, how much interest will Johnny have to pay total?
Answer:
฿₹Ø: 1391 US$
Step-by-step explanation:
NO LINKS!
Select the correct answer from each drop-down menu.
Consider the end behavior of the function
g(x) = | x-2 | -3
As x approaches negative infinity, f(x) approaches
[BLANK] infinity
Options :
Negative, Positive
As x approaches positive infinity, f(x) approaches [BLANK] infinity
Options :
Negative, Positive
Answer: negative, positive
Step-by-step explanation:
FOR PLATO!
Positive
Positive
If the value of "y" varies directly with "x"
and y = -8 when x = 4.
Find "y" when x = -4.
Enter the number that belongs in the green box.
y = [?]
Select the correct answer.
The function g(x) = x2 is transformed to obtain function h:
h(x) = g(x) + 1.
Which statement describes how the graph of h is different from the graph of g?
A.
The graph of h is the graph of g vertically shifted down 1 unit.
B.
The graph of h is the graph of g vertically shifted up 1 unit.
C.
The graph of h is the graph of g horizontally shifted right 1 unit.
D.
The graph of h is the graph of g horizontally shifted left 1 unit.
Answer:
the answer is D
Step-by-step explanation:
The graph of h is the graph of g horizontally shifted left 1 unit.
Given that,
The function [tex]\rm g(x) = x^2[/tex]is transformed to obtain function h:
h(x) = g(x) + 1.
We have to determine,
Which statement describes how the graph of h is different from the graph of g?
According to the question,
The first transformation is vertical transformation.
This type of transformation shifts the graph up or down relative to the parent graph.
The graph will shift up if we add a positive constant to each y- coordinate whereas the graph will shift down if we add a negative constant.
This type of transformation shifts the left or right relative to the parent graph.
This takes place when we add or subtract coordinates from the x-axis before the function is applied.
The h(x) is horizontally shifted left 1 unit
The equation is,
[tex]\rm h(x) = g(x)-1[/tex]
The h(x) is horizontally shifted left 1 unit,
The equation is,
[tex]\rm h(x) = g(x)+1[/tex]
Hence, The graph of h is the graph of g horizontally shifted left 1 unit.
To know more about Transformation of Graph click the link given below.
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Elijah bought a chest of drawers originally priced at $50.40 but on sale for 40% off. After 6.25% sales tax, what was the total cost
Answer:
$32.13
Step-by-step explanation:
IXL
The total cost will be;
⇒ $32.05
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
Elijah bought a chest of drawers originally priced at $50.40 but on sale for 40% off.
Now,
Since, Elijah bought a chest of drawers originally priced at $50.40 but on sale for 40% off.
Hence, The sale price = 40% of $50.60
= 40/100 × $50.60
= $20.24
Thus, The price chest of drawers become = $50.40 - $20.24
= $30.16
Since, The sales tax = 6.25%
Hence, The sales price = 6.25% of $30.16
= 6.25/100 x 30.16
= $1.89
Thus, The total cost = $30.16 + $1.89
= $32.05
Therefore, The total cost will be;
⇒ $32.05
Learn more about the percent visit:
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pls help i need the answer
Linda is training for a half marathon. She ran
3 34 miles Monday, 3 miles Tuesday, and 2 12 miles Wednesday. How many miles did she
run in those three days?
Answer:
8 14
Step-by-step explanation:
Jose is trying to pick out an outfit for the first day of school. He can choose from 2 pairs of pants, 6 t-shirts, and 3 pairs of shoes. How many different outfits does Jose have to choose from?
Jose has to choose from 36 different ways.
What is the Combination?The various ways in which objects from a set may be selected, generally without replacement to form subsets is known as combination.
For the given situation,
Pairs of pants = [tex]2[/tex]
T-shirts = [tex]6[/tex]
Pairs of shoes = [tex]3[/tex]
The formula to find the number of ways using combination = [tex]nC_{r}[/tex]
Number of ways of picking the outfit = [tex](2C_{1}) (6C_{1}) (3C_{1} )[/tex]
⇒ [tex](2)(6)(3)[/tex]
⇒ [tex]36[/tex]
Hence we can conclude that Jose has to choose from 36 different ways.
Learn more about combinations here
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PLS HELP ITS TIMED TYSM!!!
If (X+2,4) and (5,y-1 are equal ordered pairs ,Find the value of X and y
Answer:
x = 3, y = 5
Step-by-step explanation:
Since the ordered pairs are equal, then equate the x and y coordinates
x + 2 = 5 ( subtract 2 from both sides )
x = 3
y - 1 = 4 ( add 1 to both sides )
y = 5
- 13.4h + 4.2h
It’s the last one pls help
Answer:
The correct answer is -9.2h
Answer:
-9.2h i hope you can use it
yeah please help me I’ll give brainliest if correct
Answer:
p=20
6p=120
Step-by-step explanation:
Answer:
A: 6p = 120
Solution:
6 / p = 120 / 6
p = 20
dont forget to five-star and heart! ;)
Which expression is equivalent to the one below? 6÷9 A. 9.1/6 B. 6.1/9 C. 54 D. 9/6
Answer:
None
Step-by-step explanation:
6÷9=0.666...
9.1÷6=1.5166..
6.1÷9=0.6777...
54 is 54
9÷6=1.5
So none are equal
Answer:
the answer is 6 × 1/9
Step-by-step explanation:
6÷ 9 = 0.666
9 × 1/6 = 1 1/2
6 × 1/9 = 2/3 same as 0.666
54 = 54
9/6 = 1.5
HELP 5TH GRADE ,]\\ MADEGVGUGU MATH
Answer:
i think base. i might be wrong.
Step-by-step explanation:
Answer:
Its period................
Please help on this!!! Thanks!!
Answer:
7y=4y +9(corresponding sides of congruent triangle)
or,7y-4y=9
or, 3y=9
or,y=9/3
so,y=3
now
ST=7y=7×3=21
again
TU=4y+9=4×3+9=21
hope this will help you more
I need help please, I’m stuck
Answer:
x = 15
Step-by-step explanation:
What is the value of y-x?
A. 20
B. 30
C. 45
Here is a pattern made from sticks:
a)
How many sticks would be in pattern number 6?
b)
How many sticks would be in pattern number n?
Answer: 2, 5
Step-by-step explanation:yes
I would really like help for this, if anyone is willing to help me.
Answer:
It's bc
Step-by-step explanation:
Find x.
A. 4/6
B. 6
c. 4√3
D.3/2
How do you do this?
Find M
Answer:
Step-by-step explanation:
Let angle ABZ be angle 1 and angle ZBC be angle 2.
Angle 1 = 85 degree
Angle 2 = 6x + 9
measure of angle ABC = 24x+4
Angle 2 = ABC - 85
6x + 9 = 24x + 4 - 85
6x - 24x = 4 - 85 - 9
-18x = -90
x = -90/-18 = 90/18 =
x = 5
Therefore the measure of angle 2 = 6*5 + 9 = 30+9 = 39 degree
Therefore the measure of angle ZBC = 39 degree
Hope you understand
Please mark as brainliest
Thank You
14. Twelve more than seven times a number equals the number less six
Answer:
The number is -3.
Step-by-step explanation:
Set up an equation:
Variable n = number
12 + 7n = n - 6
Assuming the question is solve for n, isolate the variable:
Subtract n from both sides:
12 + 6n = -6
Subtract 12 from both sides:
6n = -18
Divide by 6 on both sides:
n = -3
Check your work:
12 + 7(-3) = -3 - 6
12 - 21 = -3 - 6
-9 = -9
Correct
Seven gallons of a sugar solution was mixed with 4 gallons of a 80 percent sugar solution to make an 72 percent sugar solution. Find the percent concentration of the first solution. (a) 70% (b) 61% (c) 69% (d) 67%
Answer:
67%
Step-by-step explanation:
Let the percentage of the first solution = x
7 gallons + 4 gallons = 11 gallons
Our system of equation is
Seven gallons of a sugar solution was mixed with 4 gallons of a 80 percent sugar solution to make an 72 percent sugar solution.
7 gallons × x % + 4 gallons × 80% = 72% × 11 gallons
= 7x + 3.2 = 7.92
Collect like terms
7x = 7.92 - 3.2
7x = 4.72
x = 4.72/7
x = 0.6742857143
Converting to percentage
0.6742857143 × 100
= 67.42857143%
Approximately, the percent concentration of the first solution is 67%
There are 20 marbles in the box. 4 marbles are black, 6 marbles are blue, 10 are red. What is the probability of drawing a black OR a red marble?
Answer:
7/10 or 70% or 0.7
Step-by-step explanation:
4 black, 10 red
10+4=14
now you put it over the total marbles
14/20=7/10
i don't know how your teacher wants you to give the answer but it is 7/10 or 0.7 or 70%
it took samatha 325 minutes to cook an 18 lb turkey.How many minutes per pound did it take to cook the turkey ?
Answer:
Below.
Step-by-step explanation:
325/18
= 18.055... minutes
= 18 minutes to nearest minute.
Identify the volume and surface area of the sphere in terms of π.
The figure shows a sphere. The sphere has a radius of 9 centimeters.
V = 972π cm3; S = 324π cm2
V = 243π cm3; S = 324π cm2
V = 972π cm3; S = 162π cm2
V = 243π cm3; S = 162π cm2
Answer:
Volume is: 972 and Surface area is 324
Step-by-step explanation:
How to get the volume is 9^3
That is 729
Times 4/3
972.
The surface area is 4 times 9^2
324.
You dont use the pie.
<3 pwease help will do anything lol <3
2. A 480 Ω resistor is connected in series to a 360 Ω resistor and a 120-V power supply.
a. Draw the circuit.
b. Calculate the equivalent resistance of the circuit.
c. Calculate the current through the battery.
d. How much current is passing through each resistor?
e. Calculate the voltage drop across each resistor.
f. How does the voltage drop across each resistor compare to the voltage of the battery
I just answered a so let's start with b :
______________________________
b. The equivalent resistance of series
resistances is equal to their sum
Thus :
equivalent resistance = 480 + 360
equivalent resistance = 840
_______________________________
c.
I = V ÷ R
I = 120 ÷ 840
I = 0.1428 A
_______________________________
d. 0.1428 A
_______________________________
e. 480 ===》 120 - ( 480 × 0.1428 ) =
120 - 68.544 =
51.456
360 ===》 120 - ( 360 × 0.1428 ) =
120 - 51.408 =
68.592
_______________________________
f. 480 ===》68.544 lower than battery
360 ===》 51.408 lower than battery
PLEASE ANSWER EEEEEEEEEEEEEEEEEEE
Answer:
5 x 4 x 3 = 60
Step-by-step explanation:
Do - H x L x W
H is 5
L is 4
W is 3