Answer:
g(6) = 106 and f(4) = - 17
Step-by-step explanation:
g(x) = - 3x² - 2 and f(x) = - 4x - 1; f(4) and g(6)
Now,
g(x) = 3x² - 2
g(6) = 3(6)² - 2
= 3 × 36 - 2
= 108 - 2
g(6) = 106
Similarly,
f(x) = - 4x - 1
f(4) = - 4(4) - 1
= - 16 - 1
f(4) = - 17
Thus, g(6) = 106 and f(4) = - 17
-TheUnknownScientist
Can someone help me simplify the expression? Show your work :) ! Picture below !!!
Answer:
$$\sqrt[3]{27x^6y^4}=3 x^2\sqrt[3]{y^4}$$
Step-by-step explanation:
[tex]\sqrt[3]{27x^6y^4}= \sqrt[3]{3^3x^6y^4}\\\sqrt[3]{27x^6y^4}=\sqrt[3]{3^3} \sqrt[3]{x^6} \sqrt[3]{y^4}[/tex]
therefore,
[tex]\sqrt[3]{27x^6y^4}=3 x^2\sqrt[3]{y^4}[/tex]
A hot air balloon travels 18 miles in 3 hours. At this rate, how many miles will the hot air balloon travel in 3/4 of an hour? (UNIT RATE)
Answer:
jeidiekwskdiduekdidjejefjekene
I need help plz thanks
Answer: 11
Step-by-step explanation:
good luck:) follow me Joe.Biden.vp.com
How much is 10% of 10 litters of milk
Answer:
1 litter of milk
Step-by-step explanation:
I Hope That This Helps! :)
Please help! Will mark brainliest. The answer is 1.96 but I need to know to they got the answer.
Determine the critical value Z to test the claim about the population proportion p not equal to 0.325 given n=42 and p hat=0.247. Use alpha=0.05
Here we are looking to find the critical value Z.
When alpha is 0.05:
0.05/2=.025
Using your z chart this would equal 1.96 positive or negative. Hope this helps!
Parallel Lines M and N are cut by Transversal T as shown.
Which statement is true?
A:
Step-by-step explanation:
1. Given the following geometric sequence: 10.9, 5.45, 2.725, ...
(a)
Is this a geometric sequence or an arithmetic sequence? Explain.
(b)
Find the 7 th term of the sequence.
(c)
Find the sum of the first 7 terms.
Answer:
a. This is a geometric sequence because the common ratio is same.
b. 7th term is: 0.1703
c. Sum of 7 terms is: 21.6296875
Step-by-step explanation:
Given sequence is:
10.9, 5.45, 2.725, ...
Here
a1 = 10.9
a2 = 5.45
a3 = 2.725
We can clearly see that the difference between consecutive terms is not same so it is not an arithmetic sequence
So now common ratio will be found to check if it is a geometric sequence.
Common ratio is the ratio between consecutive terms of a geometric sequence.
So
[tex]r = \frac{5.45}{10.9} = \frac{2.725}{5.45} = 0.5[/tex]
The common ratio is same so the given sequence is a geometric sequence.
The rule for geometric sequence is:
[tex]a_n = a_1 . r^{(n-1)}[/tex]
Putting the values, we know
[tex]a_n = 10.9* (0.5)^{n-1}[/tex]
Now for finding 7th term, putting n=7
[tex]a_7 = 10.9 * (0.5)^{7-1}\\a_7 = 10.9 * 0.5^6\\a_7 = 10.9 * 0.015625\\a_7 = 0.1703[/tex]
The sum of geometric sequence is given by:
[tex]S_n = \frac{a(r^n-1)}{r-1}\\S_7 = \frac{10.9(0.5^7-1)}{0.5-1}\\S_7 = \frac{10.9(-0.9921875)}{-0.5}\\=\frac{-10.81484375}{-0.5}\\=21.6296875[/tex]
Hence,
a. This is a geometric sequence because the common ratio is same.
b. 7th term is: 0.1703
c. Sum of 7 terms is: 21.6296875
X^2-5x+2=0. HELP SOLVE PLEASE
Answer:
this is not a equation even Google can not answer this
4) Evaluate the function when f(2).
f(x) = (x-2)(x+2)
Answer:
0
Step-by-step explanation:
f(2) = (2-2)(2+2) = (0)(4) = 0
The quantities X and Y are proportional find the constant of proportionality (r) in the equation y=Rx
Answer:
y/x = R
Step-by-step explanation:
The two quantities x and y are proportional means they have a relation.
The equation is;
y= Rx ------to find the proportional R you make R the subject of the formula;
y/ x = R
HELP HELP PLS PLS PLS A class makes origami cubes. Each cube requires 6 sheets of paper. The class makes as many cubes as possible with 550 sheets of paper. How many more sheets of paper does the class need to make one more cube?
Answer:
2
Step-by-step explanation:
550 / 6 = 91 with a remainder of 4. They need 2 more to get to the required 6.
The number of sheets of paper the class need to make one more cube is 2.
Given that, a class makes origami cubes. Each cube requires 6 sheets of paper.
What is the division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
The class makes as many cubes as possible with 550 sheets of paper.
Here, 550/6
6|550|91
54
_____
10
6
_____
4
Remainder =4, so we need 2 more papers to make cube
Hence, the number of sheets of paper the class need to make one more cube is 2.
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.) Tyler has two cube-shaped storage spaces in his apartment building, one large and one
small. The small storage space has a volume of 12 ft. Tyler wants to know the total
volume of both storage spaces.
•) s = length (ft) of one side of the large storage space
• Which expression represents the total
volume of the two storage spaces?
12 ft3
33 + 12
• What is the total volume of both storage
spaces if one side of the large storage
space is 4 feet long?
?
ft
Answer:76
Step-by-step explanation:
The volume of larger storage is 248.8 cubic ft and the total volume of both the storages is 260.8 cubic feet.
Given information:
Tyler has two cube-shaped storage spaces in his apartment building, one large and one small.
The small storage space has a volume of 12 cubic ft.
One side of the large storage space is 4 feet long.
Let a be the side of the smaller cube. The value of a can be calculated as,
[tex]a^3=12\\a=2.289[/tex]
The side of the larger cube will be,
[tex]b=a+4\\b=2.289+4\\b=6.289[/tex]
So, the volume of the larger cubical space will be calculated as,
[tex]V=b^3\\=6.289^3\\=248.8[/tex]
The total volume of both the spaces will be,
[tex]248.8+12=260.8[/tex]
Therefore, the volume of larger storage is 248.8 cubic ft and the total volume of both the storages is 260.8 cubic feet.
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df+gh=k
solve for h.
please help!!
Answer:
15
Step-by-step explanation:
Caitlin earns $17 per hour tutoring students after school. If Caitlin tutored for 12 hours this month, how much money did she earn this month?
Answer:
204
Step-by-step explanation:
For an activity in class, students used pieces of string to measure roads on a map. They used a map scale to determine the distance between two cities. One group measured the distance between Fort Myers and Miami on a Florida state map. The string distance was 7.75 inches, which represents a real-life distance of about 155 miles. Another group measured the distance between Tampa and Orlando on the same map and found that distance to be 4.25 inches. What is the real-life distance to the nearest mile between Tampa and Orlando?
a85 miles
b44 miles
c152 miles
d282 miles
Answer:
152
Step-by-step explanation:
Your welcome
$19.92 for 2.4 pounds of walnuts what is the price per pound of walnuts
Answer:
$8.3
Step-by-step explanation:
Given
2.4 pounds of walnuts=$19.92
Solution
the price per pound of walnuts=19.92/2.4
=$8.3
Price of per pound walnuts is $8.3
PLS HELP MEE!!
oranges cost $0.25 each. how much will 7 oranges cost?
$7.25
$1.75
$1.50
Answer:
1.75 !
Step-by-step explanation:
0.25 x 7
One orange price is 0.25, so you would multiply that by 7 to get the price of 7 oranges!
I'm not sure how to explain this, but if you write it out, and do the math, and move the decimal point correctly, you will get this answer!
The cost of 7 oranges is $1.75
What is a unit price?A unit price is the price for one item or measurement, such as a pound, a kilogram, or a pint, which can be used to compare the same type of goods sold in varying weights and amounts. Multiple pricing is selling two or more of the same item at a price that is lower than the unit price of a single item.
Given that, oranges cost $0.25 each. how much will 7 oranges cost,
The unit prices of oranges is given = $0.25
It is asking for the cost of 7 oranges,
If we have unit price of any object them we can find the cost of n items by just multiplying it to unit price.
Therefore, cost of 7 oranges = 7 x 0.25 = 1.75
Hence, the cost of 7 oranges is $1.75
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Which of the following is an equivalent ratio to 5:8
Answer:
10/16
Step-by-step explanation:
All you have to do is multiply or divide the top and bottom number to get an equivalent
Which of the following relations describes a function?
OA. {(-3,0), (0,3), (3, 0), (0, -3))
OB. ((-4,4), (-3,-3), (-3, 3), (0, 0)}
OC. {(0, 0), (3,-3), (3, 3), (4,4)}
OD. {(-4,4), (-3, 3), (3, 3), (4,4)}
Answer:
D. {(-4,4), (-3, 3), (3, 3), (4,4)}
Step-by-step explanation:
the error is what? please help
Answer:
27 and the 125 they are odds but don't match after x it
Step-by-step explanation:
Answer:
The 27
Step-by-step explanation:
Each number can divide by the number before, for example:
125/25=25 or 9/3=3
27 divided by 9 is 3 so it doesn't follow the pattern.
simplify. -2 3/4 -1 2/3
Answer:
-4 5/12
Step-by-step explanation:
-2 3/4 - 1 2/3
3/4*3/3= 9/12 2/3*4/4= 8/12
-2 9/12 - 1 8/12
-3 17/12
-4 5/12
6.24 divided by 6 dividing with decimal
Answer:
1.04
Step-by-step explanation:
6.24 divided by 6= 1.04
6 goes into the 6, 1 time
6 goes into the .24, .04 times
2×3×10 to the 9th power = (1×10 to the 3rd power) (2×3 × 10n)
Answer:
this is what my calculator said sorry: 1.0077696E16
Step-by-step explanation:
calculator
help please I dont understand what its asking.
Answer: so those double lines on the sides of the triangle mean they're congruent to the other sides of the triangle. so it would be
angle BCD is congruent to angle GHI
Step-by-step explanation:
What is the second step to solve this equation?
5X-8=27
Answer:
The next step is to Divide 35 by 5 then solve for x
Step-by-step explanation:
Answer:
Divide 35 by 5
Step-by-step explanation:
5x-8=27
+8 +8. first step
5x=35
x=35/5 second step
A line has a slope of 2/3 while another line has a slope of -3/2 What can you conclude about the lines
Answer:
They are perpendicular
Step-by-step explanation:
If 2 slopes are negative reciprocals of each other, it means they are perpendicular
Answer:
The lines are perpendicular because they have opposite reciprocal slopes.
Step-by-step explanation:
Olivia types 224 words in 4 minutes. Charlotte types 348 words in 6 minutes. Who types faster?
Answer:
to get who types faster look at the number of words per minute so in this case it's Charlotte any more questions
Answer:
Charlotte
Step-by-step explanation:
Uh, 224÷4 is 56 meaning Olivia types 56 words per minute, while, 348÷6 is 58, so Charlotte types 58 words per minute. So, I shall say that Charlotte types faster than Olivia.
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Hel
Tim bought an antique vase 15 years ago for $25. Today, the vase is
valued at $1,200. Tim knows the increase in the value followed an
exponential growth pattern. Which equation can be solved to find r, the
rate of increase in the vase's value during the 15-year period?
Answer:
48%
Step-by-step explanation:
$1200 divided by %25 = 48%
what is the discriminant of the polynomial below 4x^2+4x+1
Answer:
discriminant is b²-4*a*c
16-4*4*1 =0
this signifies that there is one rational double root
Step-by-step explanation:
sorry if its wrong
I need help fast thanks
Answer:
Step-by-step explanation: 5/8= 21/32
