Answers
Answer:
Hello,
Step-by-step explanation:
1)
[tex]g(x)=4*\dfrac{x-3}{5} \\g(-7)=4*\dfrac{-7-3}{5} =4*\dfrac{-10}{5} =4*(-2)=-8\\\\[/tex]
2)
[tex]f(a)=-|-3a-1|\\f(-1)=-|-3*(-1)-1|=-|3-1|=-|2|=-2\\\\[/tex]
3)
[tex]f(a)=4^{a+2}+3\\f(1)=4^{1+2}+3=4^3+3=64+3=67\\\\[/tex]
4)
[tex]p(t)=\dfrac{5\sqrt{2t+8} }{4} +3\\p(4)=\dfrac{5\sqrt{2*4+8} }{4} +3\\=\dfrac{5\sqrt{16} }{4} +3\\=\dfrac{5*4 }{4} +3\\=5+3\\=8\\[/tex]
Related Questions
Which function has a range of y < 3? y=3(2)x y = 3(3)x y = -(2)x+ 3 y = (2)x-3
Answers
Answer:
Third option is the correct answer
[tex]y = -(2)x+ 3[/tex]
Step-by-step explanation:
Given functions are:
[tex]y=3(2)x\\ y = 3(3)x\\ y = -(2)x+ 3\\ y = (2)x-3[/tex]
To find:
The function which has a range [tex]y <3[/tex] ?
Solution:
First of all, let us learn about the terms Domain and Range for a function:
[tex]y = f(x)[/tex]
Domain is the value of [tex]x[/tex] which is given as input to the function and gives a valid value of output as [tex]y[/tex] (i.e. function is defined).
Range of a function is the value [tex]y[/tex] that comes as output when given a valid value of [tex]x[/tex] as input.
Now, let us consider the given options above.
Third option is the correct answer.
[tex]y = -(2)x+ 3[/tex]
As we can see, [tex](2)x[/tex] is subtracted from 3 so [tex]y[/tex] will have a value which is lesser than 3.
i.e. range will be [tex]y <3[/tex].
No other function has such condition present in it.
[tex]y = -(2)x+ 3[/tex] is the correct answer.
What is the factorization of 2x^2 + 5x + 3?
A. (x+3)(x + 3)
B. (x+3)(x + 1)
C. (2x+3)(x + 1)
D. (2x + 3)(x + 3)
Answers
Answer:
( 2x +3) (x+1)
Step-by-step explanation:
2x^2 + 5x + 3
2 factors to 2 and 1
3 factors to 3 and 1
We need to get 5x in the middle
( 2x +3) (x+1)
PLS HELP THIS IS DUE TODAY
Answers
Answer: You can find after i explain how
Step-by-step explanation:
Add the x's together
So the problem is 6x + 1 =
This is a triangle so it = 180
6x + 1 = 180
__________
Subtract 1 from itself so 6x crosses out
Then subract 1 from 180
Which = 179
Now, divide 6 from both sides 6x is crosses out
You are left with x = (the number you got when dividing 179 / 6)
Solve A=1/2(bh) for h
Answers
Answer: 2A/b = h
Step-by-step explanation: First, get rid of the fraction by multiplying both sides of the equation by 2. That gives us 2A = bh.
Don't be thrown off by the capital A in this problem.
Just treat it like any other variable.
To get h by itself on the right side of the equation, we now simply
divide both sides of the equation by b and our answer is 2A/b = h.
Take a look back at the formula now in the
original problem, A = 1/2bh, does that look familiar?
Last week Andi had exams in Chemistry and in Spanish. On the chemistry exam, the mean was µ = 30 with σ = 5, and Andi had a score of X = 45. On the Spanish exam, the mean was µ = 60 with σ = 6 and Andi had a score of X = 65. For which class should Andi expect the better grade?
Answers
Answer:
Chemistry
Step-by-step explanation:
To solve the above question, we use the z score formula
Andy took two Exams, Chemistry and Spanish. So we find the z score for both exams.
a) Chemistry Exam
On the chemistry exam, the mean was µ = 30 with σ = 5, and Andi had a score of X = 45
z-score is given as: z = (x-μ)/σ
where x is the raw score,
μ is the population mean
σ is the population standard deviation
z = (x-μ)/σ
z = (45 - 30)/5
z = 15/5
z = 3
b) On the Spanish exam, the mean was µ = 60 with σ = 6 and Andi had a score of X = 65.
z-score is given as: z = (x-μ)/σ
where x is the raw score,
μ is the population mean
σ is the population standard deviation
z = (x-μ)/σ
z = (65 - 60)/6
z = 5/6
z = 0.8333333333
Comparing the z score of both Exams,
Andy had a z score of 3 in the Chemistry exam and 0.8333333333 in the Spanish exam.
Therefore, Andy should be expecting a better grade in the Chemistry exam because his z score in the Chemistry exam was higher than that of the Spanish exam.
Last year, there were 245 pies baked for the bake sale. This year, there were k pies baked . Using k, write an expression for the total number of pies baked in the two years.
Answers
Answer:
245 + k
Step-by-step explanation:
Since we know that,
245 = amt. of pies baked for the bake sale last year.
--> and k = (unknown) amt. of pies baked for the bake sale this year.
Using k, we need to write the total amt. of pies baked for bake sales in the 2 years.
last year + this year =>
respectively, 245 and k
Thus, we get 245 + k
Use a calculator to find the mean of the data. {21.6, 25, 20.6, 24.6, 20.3, 25.2, 22.8, 24.1, 22.5, 22.5, 22.6, 22, 24.6, 23.6, 23.5, 22, 24.4, 20.9, 21.4, 20.5, 23.2}
Answers
Answer:
22.8
Step-by-step explanation:
I just did the math :)
The mean of a given set of data is 22.8.
What is the arithmetic mean?Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean. One of the basic methods used to acquire a result, the term "Mean" is commonly used in the field of statistics.
The formula for the mean of a given set of data is as follows:
Mean = Sum of Observations/Total number of observations
Given the set of observations as :
{21.6, 25, 20.6, 24.6, 20.3, 25.2, 22.8, 24.1, 22.5, 22.5, 22.6, 22, 24.6, 23.6, 23.5, 22, 24.4, 20.9, 21.4, 20.5, 23.2}
Here, n = 21
⇒ ∑x = Sum of Observations
⇒ ∑x = 478.8
Mean = ∑x/n
Mean = 478.8/21
Mean = 22.8
Hence, the mean of the given data is 22.8.
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The loudness, L , of a sound (measured in decibels, dB) is inversely proportional to the square of the distance, d , from the source of the sound. When a person 14 feet from a jetski, it is 70 decibels loud. How loud is the jetski when the person is 46 feet away?
Answers
Answer:
Loudness (L) = 6.48 dB
Step-by-step explanation:
Given:
Loudness (L) = k / d² , where k = constant
So,
70 = k / 14²
k = 13,720
New distance = 46 feet
Find:
Loudness (L) = ?
Computation:
Loudness (L) = 13,720 / 46²
Loudness (L) = 13,720 / 2,116
Loudness (L) = 6.48 dB
the sum of 35 and one fifth part of itself is added to the sum of one seventh of 11 and 8
Answers
Answer:
313/7
Step-by-step explanation:
Here, we are interested in turning the wordings of the statement to numeric values.
We take it one at a time.
Sum of 35 and 1/5(35) = 35 + 7 = 42
This is added to 1/7(11 + 8)
= 1/7(19) = 19/7
So we have;
42 + 19/7 = (294 + 19)/7 = 313/7
Type the correct answer in the box. Use numerals instead of words. Use the order of operations to evaluate this expression: 7 + (5 – 9)2 + 3(16 ÷ 8).
Answers
By using PEDMAS rule, 7 + (5 – 9)2 + 3(16 ÷ 8) is 5.
What is PEDMAS Rule?PEDMAS is an acronym used to mention the order of operations to be followed while solving expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, D- Division, M- Multiplication, A- Addition, and S- Subtraction.
Given
7 + (5 – 9)2 + 3(16 ÷ 8)
By using PEDMAS rule,
= 7 + (-4)2 + 3(2)
= 7 + (-8) + 6
= 7 - 8 + 6
= -1 + 6
= 5
By using PEDMAS rule, 7 + (5 – 9)2 + 3(16 ÷ 8) is 5.
Find out more information about PEDMAS rule here
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The solution of equation, 7 + (5 – 9)2 + 3(16 ÷ 8) is,
⇒ 29
Since, We knw that,
PEMDAS stands for P- Parentheses, E- Exponents, D- Division, M- Multiplication, A- Addition, and S- Subtraction.
We have to given that,
Expression is,
7 + (5 - 9)² + 3(16 ÷ 8)
Now, Simplify By using PEDMAS rule,
= 7 + (5 - 9)² + 3(16 ÷ 8)
= 7 + (-4)² + 3(2)
= 7 + 16 + 6
= 23 + 6
= 29
Thus, By using PEDMAS rule, 7 + (5 – 9)2 + 3(16 ÷ 8) is, 29
Learn more about the equation visit:
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help me plz plz....
Answers
Answer:
4775.9 [tex]cm^3[/tex]
Step-by-step explanation:
To find the volume of a cone use the expression [tex]\pi r^2\frac{h}{3}[/tex]
r = radius
h = height
Now substitute h for 27 and r for 13, [tex]\pi 13^2\frac{27}{3}[/tex]
First do 13 x 13 (because of the exponent), then divide 27 and 3, which is 9
169 x 9 = 1521
Lastly multiply by pi or use 3.14
1521 x 3.14 = 4775.94
Since it asks to round to the tenth it is just 4775.9
Answer:
4778.4 cm^3
Step-by-step explanation:
The formula for the volume of a cone is [tex]V=\pi r^2\frac{h}{3} \\[/tex].
In this case, the height is 27 and the radius is 13, so we plug in the values and get [tex]V = \pi (13)^2 \frac{27}{3}\\[/tex].
We solve and get the volume of the cone as [tex]1521\pi[/tex] or 4778.4 cm^3.
2.5 kg of oranges cost $ 1.40, what is the cost of
1 kg of orange?
Answers
Work:
2.5/1.40 = 1/x
- Cross-multiply
2.5x ÷ 2.5 = x
1.40 ÷ 2.5 = 0.56
x = 0.56
3T-2 + T -5T= -1
Solve it out please
Answers
Answer: T = -1
Step-by-step explanation:
**Disclaimer** I assume that the [T] is a variable. If it was, then you may refer to my answer. If it was not, then you may point it out and I'll redo it.
Given
3T - 2 + T - 5T = -1
Combine like terms
-T - 2 = -1
Add 2 on both sides
-T - 2 + 2 = -1 + 2
-T = 1
Divide -1 on both sides
-T / (-1) = 1 / (-1)
T = -1
Hope this helps!! :)
Please let me know if you have any questions
In 2000, U.S. Airways burned about 115 litres of fuel per passenger. In 2014 that dropped
to 90 litres of fuel per passenger. What is the percentage reduction in fuel used? Give you
answer to the nearest whole percentage.
Answers
Answer:
22% reduction
Step-by-step explanation:
Find the percent decrease by dividing the difference in amounts by the original amount.
Find the difference:
115 - 90 = 25
Divide this by the original amount:
25/115
= 0.217
So, the percent decrease is 21.7%. Round this to the nearest whole percentage:
= 22
The percent reduction in fuel used was approx. 22%
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The students in Shawn's class got to choose whether to visit the zoo or the aquarium. 3 students went to the zoo and 15 students went to the aquarium. What is the ratio of the number of students who went to the zoo to the number of students who did not go to the zoo?
A. 1:6
B. 1:1
C. 1:3
D. 1:5
Answers
Answer:
D. 1:5
Step-by-step explanation:
3 students went to the zoo
15 students went to the aquarium, which is no the zoo
students who went to the zoo : students who did not go to the zoo =
= 3:15
Now we simplify the ratio by dividing both numbers by 3.
= 1:5
Answer: D. 1:5
one tree is 6 feet tall. Another tree is 3 1/4 feet tall. How much taller is the larger of the two trees?
Answers
Answer:
2 3/4 feet
Step-by-step explanation:
(6e−3f−4)⋅2= what is the answer for this?
Answers
Answer:
12e-6f-8 is the answer
Step-by-step explanation:
did work on peice of paper
Answer:
12e - 6f - 8
Step-by-step explanation:
By using the distributive property,, the answer is
(6e x 2) - (3f x 2) - (4 x 2)
12e - 6f - 8
Katherine's class is selling raffle tickets for $3 to raise money for charity. Katherine's class raised $504. Which equation would you use to find the number of tickets sold?
Answers
Answer:
3T=504
Step-by-step explanation:
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.
Answers
Answer:
[tex]\huge\boxed{x = 36\°}[/tex]
Step-by-step explanation:
According to secant angle theorem:
[tex]x = \frac{1}{2} (mCDF-mBJH)[/tex]
Where mCDF = 140 , mBJH = 68
[tex]x = \frac{1}{2} (140-68)[/tex]
[tex]x = \frac{1}{2} (72)[/tex]
x = 36°
Solve the equation
(If possible please show work)
Answers
Answer:
Step-by-step explanation:
-8 + 8a = -12 + 4a
4a - 8 = -12
4a = -4
a = -1
Answer:
a = -1
Step-by-step explanation:
[tex]4(-2+2a) = -12 +4a\\-8+8a=-12+4a\\8a = -4 +4a\\4a=-4\\\frac{4a}{4} =\frac{-4}{4} \\a=-1[/tex]
I hope that makes since... I tried to show my work the best I could.
PLEASE HELP ME !!!!!!!!!!!!!!!!!
Answers
Answer:
2
Step-by-step explanation:
The series is a geometric series with a common ratio (r) of 1/2 and a first term (a1) of 1/2^0 = 1. The sum of such a series is given by ...
S = a1/(1 -r) 1/(1 -1/2) = 2
The sum of the series is 2.
What’s the function of the Unit Circle and why is it called the unit Circle?
Answers
Answer:
It is a unit of radius that is radius of 1. Thus, the distant to the middle to any edge is always 1.
Step-by-step explanation:
To bake 12 cookies, I use 2 quarts of milk. There are 2 pints in a quart. How many pints of milk do I need to bake 3 cookies?
Answers
Answer:
1 pint
Step-by-step explanation:
You need 2 * 2 = 4 pints to make 12 cookies. Since 3 cookies is 1/4 of 12 cookies, you would need 1/4 * 4 = 1 pint of milk to make 3 cookies.
Answer:
1 pint
Step-by-step explanation:
12c=4p
divide both sides by 4
3 cookies needs 1 pint!!!!
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
Suppose the graph in part A can be represented by the function f(x)=1.5x+750/x . What is the domain of this function? Consider the context of the function in your answer.
Answers
Answer:
Domain:
( − ∞ , 0 ) ∪ ( 0 , ∞ ) , { x | x ≠ 0 }
Step-by-step explanation:
i used math. way for help
a car averaged 72 kph .on a trip if the car travelled for 9 hours how far did it go
Answers
648 km
Explanation:
d = v x t
d = 72 x 9
d = 648 km
Answer:
648 km
Step-by-step explanation:
distance travelled= speed * time
distance= 72kph * 9 hours
distance= 648 km
Solve for a. Worth 10 pts!
[tex] \frac{1}{5} a - 5 = 20[/tex]
Answers
+5. +5
1/5a=25
Divide 1/5 on both side
a=125
Answer:
Step-by-step explanation:
1/5 a-5=20 addition properties
1/5 a -5+5=20+5
1/5=25 multiply both sides by 5
5/5 a=25*5
a=125
check the answer:
125/5 -5=20
25-5=20
20=20 correct
— 12 — бр – (-2)
HELP ASAP
Answers
Answer:
-10 - 6p
Step-by-step explanation:
-12 - 6р - (-2)
~Combine like terms
-10 - 6p
Best of Luck!
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{-12 - 6p - (-2)}\\\\\huge\text{COMBINE the LIKE TERMS}\\\huge\textsf{\underline{\underline{-12 - (-2)}} + \underline{\underline{\underline{(-6p)}}}}\\\\\\\huge\text{\underline{\underline{-12 - (-2)}}}\\\huge\textsf{= -12 + 2}\\\huge\textsf{= \bf -10}\\\\\\\huge\textsf{-6p \text{does not have any like terms so it}}\\\huge\textsf{stays the same}\\\\\\\huge\textsf{= \bf -6p - 10}\\\\\boxed{\boxed{\huge\text{Answer: \bf -6p - 10}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\boxed{\huge\boxed{\frak{Amphitrite1040:)}}}[/tex]
what is the answer to -22/9r = 11/9
Answers
Answer:
2
Step-by-step explanation:
for this question you've to cross multiply
-22/9r=11/9
99r=-198
then you divide both sides by 99 inorder to remain with r on one side
99r/99=198/99
r=2
I hope this helps
Proportion problems
8 chickens would lay 20 eggs in 3 days.
If chickens always lay eggs at the same rate,
a) how many days would it take to chickens to lay 100 eggs?
= 10 days
b) how many chickens would be required if a farmer needed 30 eggs each day?
i need help how to do question b. i know answer bu,.t i need explaining.
:]
Answers
5/6 = b/12 help please
Answers
Answer:
[tex]b = 10[/tex]
Step-by-step explanation:
We can use the cross products property and solve for b.
[tex]\frac{5}{6} = \frac{b}{12}\\\\\\b=(12\cdot5)\div6\\b=60\div6\\b=10[/tex]
Hope this helped!
Answer:
The answer is b=10
Step-by-step explanation:
All you need to do is think 12/6 is what, the answer would be 2, then you would multiply the numerator by 2, which would be 5*2 which is 10.
Thank you, Hope this helps you.