Answers
Answer:
Option C
Step-by-step explanation:
According to the graph, there are vertical asymptotes at [tex]x=-3[/tex] and [tex]x=7[/tex]. Therefore, C is correct because -3+3=0 and 7-7=0.
Related Questions
suppose that 16% of crimes of this type end up in a criminal charge. this district has a false conviction rate of 5% (meaning the subject was charged but did not commit the crime) and fail to charge at a rate of 10% (meaning the person committed the crime but was not charged). if a randomly chosen suspect is charged, what is the chance that the suspect actually committed the crime
Answers
Answer:
0.9 = 90% probability that the suspect actually committed the crime.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Charged
Event B: Committed the crime.
16% of crimes of this type end up in a criminal charge.
This means that [tex]P(A) = 0.16[/tex]
Probability of being charged and committing the crime:
90% of 16%, so:
[tex]P(A \cap B) = 0.9*0.16[/tex]
What is the chance that the suspect actually committed the crime?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.9*0.16}{0.16} = 0.9[/tex]
0.9 = 90% probability that the suspect actually committed the crime.
(−x3+26x2−7x−13)+(6x4−x3+8x+27)
Express the answer in standard form.
Enter your answer in the box.
Answers
Answer:
6x^4−2x^3+26x^2+x+14
Step-by-step explanation:
−x^3+26x^2−7x−13+6x^4−x^3+8x+27
= 6x^4−x^3−x^3+26x^2−7x+8x−13+27
= 6x^4−2x^3+26x^2+x+14
Answer:
Step-by-step explanation:
= -x3+ 26x2- 7x-13+6x4-x3+8x+27
=6x4-2x3+26x2+x+14
The perimeter of Tamara's suitcase is 8x - 3 and the perimeter of Anna's suitcase is
3x + 2. Write an algebraic expression that represents
the difference between the perimeter of Tamara's suitcase
and the perimeter of Anna's suitcase?
Answers
Answer:
perimeter: 2
Step-by-step explanation:
8x-3 = 6x
8x – 6x = 3
2x = 3
x = 3/2
The required algebraic expression that represents the difference between the perimeter of Tamara's suitcase and the perimeter of Anna's suitcase is 5x - 5.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
The difference between the perimeter of Tamara's suitcase and Anna's suitcase can be found by subtracting the expression for the perimeter of Anna's suitcase from the expression for the perimeter of Tamara's suitcase:
(8x - 3) - (3x + 2)
Simplifying the expression by removing the parentheses and combining like terms, we get:
8x - 3 - 3x - 2
= 5x - 5
Therefore, the algebraic expression that represents the difference between the perimeter of Tamara's suitcase and the perimeter of Anna's suitcase is 5x - 5.
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10 times a certain number plus 5 times the same number equals 90 what is the number
Answers
Let the number be x
ATQ
[tex]\\ \sf\longmapsto 10x+5x=90[/tex]
[tex]\\ \sf\longmapsto (10+5)x=90[/tex]
[tex]\\ \sf\longmapsto 15x=90[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{90}{15}[/tex]
[tex]\\ \sf\longmapsto x=6[/tex]
Instructions: Determine whether the lines
passing through the pairs of points are
parallel, perpendicular or neither.
• Line a: (5,3) and (5,7)
• Line b: (2,7) and (-1,7)
Select one:
O Perpendicular
Neither
Parallel
Answers
Answer: Perpendicular
Explanation
the gradient of line b is (7-7)/(-1-2) = 0/-3 = 0
Therefore it means that it is a horizontal line
Must click thanks and mark brainliest
The probability of a customer arrival at a grocery service counter in any one second is equal to 0.4. Assume that customers arrive in a random stream, so an arrival in any one second is independent of all others. (Round your answers to four decimal places.) (a) Find the probability that the first arrival will occur during the seventh one-second interval. 0.0187 Correct: Your answer is correct. (b) Find the probability that the first arrival will not occur until at least the seventh one-second interval.
Answers
Answer:
a. approximately 0.0187
b. 0.047
Step-by-step explanation:
q = 1-p
= 1-0.4
q = 0.6
a. the probability that the first arrival will occur during seventh one-second interval
probability(7) = 0.6⁷⁻¹ x 0.4
= 0.6⁶ x 0.4
= 0.046656 x 0.4
= 0.0186624
approximately 0.0187
b. probability that the first arrival will not occur until at least the seventh one second interval
p(y≥7) = 1-p(x<7)
= 1-[(0.4)(0.6)⁰ + (0.4)(0.6)¹ +(0.4)(0.6)²+(0.4)(0.6)³+(0.4)(0.6)⁴+(0.4)(0.6)⁵]
= 1-(0.4+0.24+0.144+0.0864+0.05184+0.031104
= 1-0.95334
= 0.04667
= 0.047
Use the Pythagorean theorem to find the missing lengths in the diagram below.
Answers
Answer:
anser b
Step-by-step explanation:
i had it
Answer:
x = √74
y = √17
Answered by GAUTHMATH
a bridge costs 94,500 to repair. if the state pays twice as much as the city, how much did each pay?
Answers
Probability that a person is chosen at random
Answers
Answer:
152 / 370
Step-by-step explanation:
Total number of people
152+218 = 370
P( own a dog) = people said yes / total
= 152 / 370
Hi so sorry this is so long, would rlly appreciate an answer
Answers
Answer:
Step-by-step explanation:
Please help me will vote the person who does brainiest person or something
Answers
Answer:
quadratic
y=mx+c
Step-by-step explanation:
what is the constant proportionality in the equation y=2.5x
Answers
Answer:
Step-by-step explanation:
The date is 3rd August. What was the date a week ago?
Answers
Answer:
27th July was a week ago
27th July
I could count backwards, but looking one line up in any calendar is way faster I guess. I see no gain in getting better in telling how many days each month has, but if you would like to it with counting, it's. 3red August -7, where the 31. July comes in the place of "the 0th August", si you could calculate it in two steps or just count backwards.
Simplify the given equation.
6 - (3x+10) + 4(2 - x) = 15
O 4-7 x = 15
O4 - 4 x= 15
O 12 - 7 x= 15
Answers
Answer:
-7x-11
Step-by-step explanation:
expand brackets
6-3x-10+8-4x=15
4-7x=15
move 15 to left side
-7x-11
Answer:
4-7x=15
Step-by-step explanation:
[tex]6 - (3x + 10) + 4(2 - x) = 15 \\ 6- 3x - 10 + 8 - 4x = 15 \\ - 7x = 15 + 10 - 8 - 6\\ - 7x = 11 \\ the \: same \: one \: is \\ 4 - 7x = 15[/tex]
Which graph represents the function h(x)=x+0.5
Answers
Answer:
The correct graph of h(x) will be number 3 (c).
Step-by-step explanation:
We have the function h(x) = |x| + 0.5
On putting x=0, in the function h(x), we get,
h(0) = |0| + 0.5
h(0)=0 + 0.5
h(0)=0.5
Thus, the point (0,0.5) lie on the graph of h(x).
The graph that represents the function h(x) is graph (c)
How to determine the graph?The equation is given as:
h(x) = |x| + 0.5
The above equation is an absolute value function
An absolute value function is represented as:
h(x) = a|x + h| + k
Where:
Vertex = (h,k)
By comparing h(x) = a|x + h| + k and h(x) = |x| + 0.5, we have:
h = 0 and k = 0.5
So, the vertex is (0,0.5)
The graph that has a vertex of (0,0.5) is graph (c)
Hence, the graph that represents the function h(x) is graph (c)
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The volume of a rectangular prism (shown below) is 48x^3+56x^2+16x Answer the following questions:
(1) What are the dimensions of the prism?
(2) If x = 2, use the polynomial 48x^3+56x^2+16x to find the volume of the prism.
(3) If x = 2, use the factors found in part a to calculate each dimension.
(4) Using the dimensions found in part c, calculate the volume. Show all work.
Answers
Answer:
(a)
[tex]Length = 8x\\Width = 3x + 2\\Height = 2x + 1[/tex]
(b)
[tex]P(2) = 640[/tex]
(c)
[tex]Length= 16[/tex]
[tex]Width = 8[/tex]
[tex]Height =5[/tex]
(d)
[tex]Volume = 640[/tex]
Step-by-step explanation:
Given
[tex]P(x) = 48x^3 + 56x^2 + 16x[/tex]
Solving (a): The prism dimension
We have:
[tex]P(x) = 48x^3 + 56x^2 + 16x[/tex]
Factor out 8x
[tex]P(x) = 8x(6x^2 + 7x + 2)[/tex]
Expand 7x
[tex]P(x) = 8x(6x^2 + 4x + 3x + 2)[/tex]
Factorize
[tex]P(x) = 8x(2x(3x + 2) +1( 3x + 2))[/tex]
Factor out 3x + 2
[tex]P(x) = 8x(3x + 2)(2x + 1)[/tex]
So, the dimensions are:
[tex]Length = 8x\\Width = 3x + 2\\Height = 2x + 1[/tex]
Solving (b): The volume when [tex]x = 2[/tex]
We have:
[tex]P(x) = 48x^3 + 56x^2 + 16x[/tex]
[tex]P(2) = 48 * 2^3 + 56 * 2^2 + 16 * 2[/tex]
[tex]P(2) = 640[/tex]
Solving (c): The dimensions when [tex]x = 2[/tex]
We have:
[tex]Length = 8x\\Width = 3x + 2\\Height = 2x + 1[/tex]
Substitute 2 for x
[tex]Length=8*2[/tex]
[tex]Length= 16[/tex]
[tex]Width = 3*2+2[/tex]
[tex]Width = 8[/tex]
[tex]Height = 2*2 + 1[/tex]
[tex]Height =5[/tex]
So, we have:
[tex]Length= 16[/tex]
[tex]Width = 8[/tex]
[tex]Height =5[/tex]
Solving (d), the volume in (c)
We have:
[tex]Volume = Length * Width * Height[/tex]
[tex]Volume = 16 * 8 * 5[/tex]
[tex]Volume = 640[/tex]
g (x) = f ( x + 1).
graph
Answers
In the picture below, which lines are lines of symmetry for the figure?
A. only 3
B. 1 and 3
C. 1, 2, and 3
D. none
Answers
Based on the lines drawn on the given picture, the number of lines of symmetry are D. none.
What are lines of symmetry?Lines of symmetry are those that divide a shape such that each side can be said to be a reflection of the other.
In the above image, there are no lines of symmetry because when any of the lines given divides the shape, either side would not be identical.
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What is the value of r2 for the following data to three decimal places?
Answers
Answer:
R² = 0.964
Step-by-step explanation:
y = 1.9694x - 0.6122
R² = 0.964
amortization for house costs 35,000.00 at 6.5% interest for 10 years and payments of 400.00 were paid for 36 months what is the remaining balance
Answers
Answer:
$26,640.22
Step-by-step explanation:
I really Need help solving this problem!
Answers
Answer:
Hello,
Answer A : 11.2 ≤ X ≤ 29.2
Step-by-step explanation:
[tex]Z=\dfrac{X-20.2}{4.5} \\\\X=4.5*Z+20.2\\\\For\ Z=-2, \ X=4.5*(-2)+20.2=11.2\\For\ Z=2, \ X=4.5*2+20.2=29.2\\[/tex]
(2 marks) Q12 A sandwich shop owner makes 1 sandwich with brown bread for every 4 sandwiches he makes with white bread. Today he needs to make 600 sandwiches altogether. How many sandwiches should he make with brown bread today? sandwiches (1 mark) 30
Answers
So the answer is 120
The shop owner makes total 120 sandwiches with brown bread today.
What is linear equation in one variable?The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.
According to the given question.
A sandwich shop owner makes 1 sandwich with brown bread for every 4 sandwiches he makes with white bread.
Let the total number of white bread sandwiches be 4x and white bread sandwiches be 1x.
Since, the shop owner have to make 600 sandwiches.
So, for the given scenario we have a linear equation in one variable.
[tex]\implies 600 = 4x+1x\\\implies 600 = 5x \\\implies x = \frac{600}{5} \\\implies x = 120[/tex]
Hence, the shop owner makes total 120 sandwiches with brown bread today.
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The Anthonys bought a home in January and borrowed $376000 to finance it. The mortgage interest and principal payment is $2011 per month. In the first year, they paid $22175 in interest, $7652 in principal, and $8312 in property taxes. They are in the 24% marginal tax bracket. Approximately, how much will they save in federal income taxes from home ownership the first year, if itemizing deductions?
Answers
What is the measure of 7 shown in the diagram below?
110°
O A. 74.5°
B. 32°
X
O C. 71°
Z
D. 35.5°
Answers
Answer:
c
Step-by-step explanation:
Answer:
the correct choice is B
Step-by-step explanation:
Find the formula for the geometric sequence 1, 5, 25, 125, .
Answers
To check our formula, we can find the 5th term. a5 = 1 * 5^5-1. This gives us 625. If we look at our last term provided, the 4th term, 125 * 5 is 625.
Ronald types 360 words in 9 minutes.
If he types at a constant rate, how many words does Ronald type in 1 minute?
Answers
360/9=40
Answer:
40 per minute.
Step-by-step explanation:
360/9=40
Consider the equation below.
-2(53 + 8) = 14 + 60
The equation was solved using the following steps.
-10.3 – 16 = 14 + 6.r
Step 1:
Step 2:
Step 3:
-165 - 16 = 14
-16.r = 30
Step 4:
30
=
-16
Step 5:
=
Complete the statements below with the process used to achieve steps 1-4.
-2 to 5x and 8.
6x
Step 1:
Step 2:
Step 3:
Step 4:
16.
-16.
Answers
Answer:
See explanation
Step-by-step explanation:
Given
[tex]-2(5x+8)=14+6x[/tex]
Required
Complete the steps
[tex]-2(5x+8)=14+6x[/tex]
Multiply 5x and 8 by -2
[tex]-10x - 16 = 14 + 6x[/tex]
Subtract by 6x
[tex]-10x - 6x- 16 = 14 + 6x - 6x[/tex]
[tex]-16x- 16 = 14[/tex]
Add 16
[tex]-16x- 16 + 16= 14 + 16[/tex]
[tex]-16x= 30[/tex]
Divide by -16
[tex]x= \frac{30}{-16}[/tex]
[tex]x= -\frac{15}{8}[/tex]
See attachment
What is the output of the function: f(x)=2x+5, if the input is 3?
Answers
Answer:
2*3+5=11
Step-by-step explanation:
Answer:
[tex]\boxed {\boxed {\sf 11}}[/tex]
Step-by-step explanation:
We are given the following function and asked to find the output if the input is 3.
[tex]f(x)= 2x+5[/tex]
The input is what is plugged into the function and its variable is x. The output is the result of plugging in the input and its variable is y.
Substitute 3 in for x,
[tex]f(3)= 2(3)+5[/tex]
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. Multiply 2 and 3.
[tex]f(3)= 6+5[/tex]
Add.
[tex]f(3)= 11[/tex]
If the input is 3, then the output is 11.
Find the length of the third side. If necessary, round to the nearest tenth.
6
8
PLS HELP
Answers
Answer:
a = 5.3
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
where a and b are the legs and c is the hypotenuse
a^2 + 6^2 = 8^2
a^2 +36 = 64
a^2 = 64-32
a^2 =28
Taking the square root of each side
sqrt(a^2) = sqrt(28)
a=5.29150
To the nearest tenth
a = 5.3
The length of the third side of the right triangle is; 5.3
What is the length of the third side of the triangle?The triangle given is a right triangle and hence, the length of the third side can be evaluated by using the Pythagoras theorem as follows;
a² = 8² -6²
a² = 64- 36
a² = 28
a = √28
a = 5.3
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Find the missing side of the right triangle.
Answers
Answer:
√65
Step-by-step explanation:
you have to use the pythagoras theorem to find x which is the hypotenuse
x²=7²+4²
x²=49+16
√x²=√65
x=√65
I hope this helps
