Answer:
step by step as shown
Step-by-step explanation:
f(x) = x²-1
f(5) = 5² - 1 = 24
f⁻¹(x)
y = x²-1
x = y² - 1 swap x and y
y² = x+1 ... x+1 ≥ 0 x≥-1
y = √x+1
f⁻¹(x) = √x+1
f⁻¹(8) =√8+1 = √9 = 3
Matt paid $450 in interest on a 15 month note for
$5600. Find the rate of interest paid.
Answer:
The rate is 6.43%
Step-by-step explanation:
Given
[tex]I = 450[/tex] --Interest
[tex]P = 5600[/tex] -- Principal
[tex]T= 15\ months[/tex] --Time
Required
Determine the rate
Using simple interest formula:
[tex]I = PRT[/tex]
Make R the subject
[tex]R = \frac{I}{PT}[/tex]
Convert time to years
[tex]T= 15\ months[/tex]
[tex]T =\frac{15}{12}\ years[/tex]
[tex]T =1.25\ years[/tex]
Substitute values for I, P and T
[tex]R = \frac{450}{5600*1.25}[/tex]
[tex]R = \frac{450}{7000}[/tex]
[tex]R = 0.0643[/tex]
Convert to percentage
[tex]R = 0.0643*100\%[/tex]
[tex]R = 6.43\%[/tex]
11.) Is the equation below linear or nonlinear?
Y=9x-5
Answer:
liner
Step-by-step explanation:
Which property is illustrated by the statement 6 X 4=4 X 6?
Answer:
Commutative property
Step-by-step explanation:
Can someone help me please!!
9514 1404 393
Answer:
AE = CE = 23; BE = DE = 20
Step-by-step explanation:
Put the values of the variables in their place and do the arithmetic.
AE = 2u+5 = 2(9) +5 = 23
BE = 6v-1 = 6(3.5) -1 = 20
CE = 3u-4 = 3(9) -4 = 23
DE = 8v-8 = 8(3.5) -8 = 20
The diagonals cross at their midpoints, so the quadrilateral is a parallelogram.
Given that R= 7x + 7y
Find r when y = 2 and R=8
find x
Give your answer as a fraction in its simplest form.
Answer:
Step-by-step explanation:
564/5
Jordan bikes at a speed of 8 2/3 mph. How many miles will he bike in:
3 hours 6 minutes?
Answer:
He will bike 26.87 miles.
Step-by-step explanation:
Given:
Jordan bikes at a speed of 8 2/3 mph.
Now, to find the distance he will bike in 3 hours and 6 minutes.
Speed =
Time = 3 hours and 6 minutes
=
As, 60 minutes = 1 hour.
=
6 12 5 7 7 3 9 mean median range
Answer: Mean:7 Median 7 Range:9
Step-by-step explanation:
Solve
for x
2(2x + 1) -10=4
Help please and thank you
Answer: 3
Distribute
Subtract the numbers
Simplify
In the U.S., 51% of all births are boys, and 49% are girls. Use the binomial model to find the probability that 6 out of 10 births at a local hospital are boys.
P
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)
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p
x
q
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P
x
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-
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A.
17%
B.
21%
C.
49%
D.
51%
Answer: The correct answer is B) 21%
Step-by-step explanation:
This is a binomial model probability problem. We need to find the probability of 6 out of 10 new births at a hospital being boys. The information we need is the number of trials observed, the number of successes and the percentage chance you have of any birth being a boy. The number of trials are 10, with the number of successes being 6 (the number of trials we want to be boys) It states that 51% or 0.51 of all births in the US are boys so we can use this value to determine our answer using our binomial model formula. After simplifying we get our answer of 21% I hope this has been of use to you :)
Have a wonderful rest of your day!
The probability that 6 out of 10 births at a local hospital are boys is 21%, so option B is correct.
What is probability?The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.
Given data:
In the U.S., 51% of all births are boys, and 49% are girls
Calculate the probability by the formula given below,
[tex]P(x) = [n! / {x!(n-x)!}]P^xQ^{n-x}[/tex]
Here x = 6 and n = 10, put the values,
P(x) = [10! / {6!(10-6)!}] × 51⁶ × 49⁽¹⁰⁻⁶⁾
P(x) = [10! / {6!4!}] × 0.51⁶ × 0.49⁴
P(x) = 210 × 0.0176 × 0.0577
P(x) = 0.21
P(x) = 21 %
Therefore, the probability that 6 out of 10 births at a local hospital are boys is 21%.
To know more about probability:
https://brainly.com/question/743546
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If (-x^2 + y^2) is subtracted from (x^2 + y^2), the difference is
A.2x^2
B.0
C. -2x^2
D. —2x^2– 2y^2
Answer:
If [tex](-x^2 + y^2)[/tex] is subtracted from [tex](x^2 + y^2)[/tex], the difference is: [tex]\mathbf{2x^2}[/tex]
Option A is correct option.
Step-by-step explanation:
If [tex](-x^2 + y^2)[/tex] is subtracted from [tex](x^2 + y^2)[/tex], we need to find the difference.
When finding the difference the term after from comes first.
We can write:
[tex](x^2 + y^2)-(-x^2 + y^2)[/tex]
Now finding difference:
Multiply minus sign with terms inside the bracket
[tex]=x^2 + y^2+x^2 - y^2[/tex]
Now combine the like terms
[tex]x^2 +x^2+ y^2 - y^2\\=2x^2+0\\=2x^2[/tex]
So, If [tex](-x^2 + y^2)[/tex] is subtracted from [tex](x^2 + y^2)[/tex], the difference is: [tex]\mathbf{2x^2}[/tex]
Option A is correct option.
So can someone just kinda do these
Answer:
1.) -5/4
2.) 2
3.) 7/3
4.) 4
5.) -6
6.) -1
7.) 5/3
8.) -4
9.) 2
Step-by-step explanation:
this is what i got i hope they are all right
slope formula: (y2 - y1) / (x2 - x1)
PLEASE HELP ME I ONLY HAVE 5 MINUTES TO TURN THE WHOLE ASSIGNMENT IN
Answer: 2
Step-by-step explanation:
Answer:
Im pretty sure the answer is 2. Good luck<3
50 points
There are 63 female performers in a dance recital. The ratio of men to women is 4:9. How many men are in the dance recital?
Answer:
28
Step-by-step explanation:
63/9=7
7*4=28
What is the pow of a
4.5 x 10-3 M OH solution?
Answer:
p O H = 2.35
Step-by-step explanation:
Are the following functions linear or nonlinear? Drag the tiles to complete the statements.
Tiles may be used once, more than once, or not at all.
Answer:
I don't see anything like a graph or anything.
Answer:
Need help
Step-by-step explanation:
PLS HELP BRAINLIEST AND EXTRA POINTS !
What is the ratio of the total coins in Andrew's coin jar to the total coins in Staci's coin jar?
A. 98:51
B. 49:78
C. 1:1
D. 51:98
Answer:
D
Step-by-step explanation:
4 + 12 + 18 + 68= 102/2 51
40 + 28 + 52 + 76= 196/2 98
51:98
Anyone mind helping me? 4.5+x=11?
Move all terms not containing x to the right side of the equation.
x = 6.5
When is subtraction always the first operation done in an expression?
A Never
B When it follows addition in an expression.
C When it is the first operation in an expression, from left to right.
D When it is in parentheses in an expression.
Answer:
b
Step-by-step explanation:
t
What is the length of the segment shown below. Round your answer to the nearest hundredth. (2,5) (-4,-1)
Answer:
Step-by-step explanation:
use the distance formula Emily P1=(x1,y1)=(2,5) P2=(x2,y2)=(-4,-1)
d = [tex]\sqrt{(x2-x1)^{2}+ (y2-y1)^{2} }[/tex]
d = [tex]\sqrt{6^{2}+ 6^{2} }[/tex]
d = 8.48528
d = 8.49
Which of the following values for y makes the inequality True? 3y >12
answer:
a value of five or more would make the inequality true
t/(-11) = 11 what does t =
Answer:
t=-121 is the correct answer
Can someone help me find the complete square please?
Answer:
x= +-6 squareroot 2-10
Step-by-step explanation:
[tex]x=+-6\sqrt{2} -10[/tex]
For the right triangle find the missing length. Round your answer
to the nearest tenth.
Answer:
w = 5
Step-by-step explanation:
In the given right triangle, by trigonometric ratio, we have:
[tex] \tan \: 60 \degree = \frac{5 \sqrt{3} }{w} \\ \\ \sqrt{3} = \frac{5\sqrt{3}}{w} \\ \\ w = \frac{5 \cancel {\sqrt{3}} }{ \cancel {\sqrt{3}} } \\ \\ w = 5[/tex]
HELP PLEASEEEE IM BEGGING YOU
Answer:
40
3
9
70
6
7
10
2
42
8
Step-by-step explanation:
let's hope i didn't read naything wrong
In the mid term test Jesse scored 92%,89% and 90%.What was her main score
Answer:
100%
Step-by-step explanation:
Answer:
90.3%
Step-by-step explanation:
I think you have a typo. I'm pretty sure you meant mean score. To find the mean, we add up all the values and divide by the number of values. Let's add 92, 89, and 90. That gets us 271. Now, let's divide 271 by 3. That gets us 90.3. That means Jesse's mean score is 90.3%.
10. Peter had a policy with a $250 deductible which paid 80% of his covered charges less deductible. He had medical expenses of $18,240.00. What is the insurance company's payment?
O $14,392
O $14,300
O $250
O $15,000
Answer:
$14392
Step-by-step explanation:
The insurance company's payment is $14392. which is the correct answer would be an option (A).
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
The required insurance company's payment is the difference between 80% of medical expenses and 80% of the deductible amount.
According to the given question, the required solution would be as:
The insurance company's payment = 80% of $18,240.00 - 80% of $250
The insurance company's payment = (80/100)18,240.00 - (80/100)250
The insurance company's payment = (0.80)18,240.00 - (0.80)250
The insurance company's payment = 14592 - 200
Apply the subtraction operation,
The insurance company's payment = $14392
Therefore, the insurance company's payment is $14392. which is the correct answer would be an option (A).
Learn more about the percentages here:
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Julio tested the point (4, –2) to see whether it is a solution to this system of equations.
–3x – 2y = –8,
y = 2x – 5
His work is shown below.
Negative 3 (4) minus 2 (negative 2) = negative 8. Negative 12 + 4 = negative 8. Negative 8 = negative 8. Therefore, (4, negative 2) is a solution to the system.
Did Julio verify the solution?
No. He substituted 4 and –2 for the wrong variables.
No. He did not check the point in the second equation.
No. He simplified the equation incorrectly.
Yes. He verified that (4, –2) is a solution to the system of equations.
Answer:
the answer is B on edge
Step-by-step explanation:
B. No. He did not check the point in the second equation
can i get brainly so i can rank up?
Answer:
Like I said B
Step-by-step explanation:
simplify-18z3 +(-15z3)
Answer:
-18z3+(-15z3)
-18z3-15z3
-33z6
Help me out here pleaseeeeeee
Answer:
option C
Step-by-step explanation:
(6+3)= 9
9 × 4= 36
36-2= 34
hope it helps! please make me brainliest..
Thank you! Have a good day ahead!
Answer:
(6+3)*4-2
Step-by-step explanation:
(6+3)*4-2
9*4-2
36-2
34
PEMDAS
Parenthesis
Exponents
Multiply
Divide
Add
Subtract
Can anyone please help me?