For the rational function f(x)=(-13x-27)/(x^(2)-4x-12), F(x)=2
Use the graph to solve the equation x2 - 2x - 8 = 0.
answer-
x=4,-2
Step-by-step explanation:
Which reactant (X) is missing from the equation shown?
X + PO4 → H3PO4
One hydrogen atom
One hydrogen atom
One phosphorus atom
One phosphorus atom
Three hydrogen atoms
Three hydrogen atoms
One oxygen atom
One oxygen atom
Answer:
three hydrogen atoms
Step-by-step explanation:
H3 + Po4 ----> H3Po4
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GEOMETRY HIGH SCHOOL
In rectangle ABCD, diagonals and AC BD intersect at E. If AC= 4x + 8 and BE = x + 2, then the length of diagonal AC is ____ ?
Answer:
AC = 8
Step-by-step explanation:
AC = 4x + 8
BE = x + 2
x + 2 = x + 2
2x = 2 - 2
2x = 0
2x\2 = 0/2
x = 0
AC = 4x + 8
AC = 4(0) + 8
AC = 0 + 8
AC = 8
When the AC= 4x + 8 and BE = x + 2, so the length of diagonal AC is to be considered as the 8.
Calculation of the length of diagonal AC:
Since
AC = 4x + 8
BE = x + 2
Now
x + 2 = x + 2
2x = 2 - 2
2x = 0
x = 0
Now
AC = 4x + 8
AC = 4(0) + 8
AC = 0 + 8
AC = 8
hence, the length of diagonal AC is to be considered as the 8.
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Christian was 145 cm tall when he was 12 years old. And 3 years later, he became 168.2 cm tall. By what percent did Christian's height increase?
Answer: 16%
Step-by-step explanation:
168.2 - 145 = 23.2
23.2/145 = 0.16
0.16 as a percent is 16%
The percentage change of the height is A = 16 %
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Christian's height increased by
168.2 - 145 = 23.2 cm
To find the percentage increase, we need to divide the increase by the original height and then multiply by 100:
Percentage increase = (23.2 / 145) x 100%
Percentage increase = 0.16 x 100%
Percentage increase = 16%
Hence , Christian's height increased by 16%
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.4^3Grafting, the uniting of the stem of one plant with the stem or root of another, is widely used commercially to grow the stem of one variety that produces fine fruit on the root system of another variety. Suppose grafts are done one at a time. A graft fails with probability 0.4, independently of the others. Given there were no failed grafts in the first seven done, what is the probability that there will be at least one failed graft in the next three done
Answer:
0.784 = 78.4% probability that there will be at least one failed graft in the next three done
Step-by-step explanation:
To solve this question, we need to understand the binomial probability distribution and conditional probability.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
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: No failed grafts in the first seven
Event B: At least one fail in the next three.
Intersection of events A and B:
Since the probability of a graft failling is independent of other grafts, we have that:
[tex]P(A \cap B) = P(A)*P(B)[/tex]
So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)*P(B)}{P(A)} = P(B)[/tex]
So we just have to find the probability of one fail in three trials.
Three trials means that [tex]n = 3[/tex].
The probability is
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.4)^{0}.(0.6)^{3} = 0.216[/tex]
Then
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.216 = 0.784[/tex]
0.784 = 78.4% probability that there will be at least one failed graft in the next three done
4. Sara has been using an online review program to take practice tests for her upcoming graduation exam. Her scores are shown in the table. What is the median of the data?
Captionless Image
17
79
84
86.5
Answer:
79
Step-by-step explanation:
b because I did the math and got that.
The table shows Mitch’s record for the last thirty par-3 holes he has played.
Based on this record, what is the probability that Mitch will score a 2 or 3 on the next par-3 hole?
a. 7/9
b. 3/5
c. 3/10
d. 9/50
Answer:c. 3/10
Step-by-step explanation:
Give the most precise classification for the figure. looks like rectangle but isnt
Answer:
your answer will be Isosceles trapezoid
Step-by-step explanation:
^_^
1/2(6g+2)=12 please answer quick
Answer:
He y I won't be able to help you, but I know where, search in the web Math way, that will help you. I wrote it like that because it won't let me but it goes together
D
+
32°
41°
A
C
B.
O
mZB =" [?]
Answer:
what is the question? where is the diagram?
Kathleen successfully solved the system of equations 4.2 + 3y = 15 and -- 5x – 2y = -24 by multiplying each equation by a constant and adding the two equations together to eliminate
the x-terms. She then solved for y and substituted the value of y back into one of the equations and solved for a. What could she have multiplied each equation by, and what was her final answer?
Answer:
72
Step-by-step explanation
PLEASE ANSWER
Liz and her two friends went out to lunch. Their bill came out to be $21.75. If they split the cost equally, how much does each girl owe?
SHOW YOUR WORK
Helpppppp Asapppp guys
Answer:
[tex]-20\frac{3}{4}[/tex] < [tex]-15\frac{1}{2}[/tex] < [tex]-14\frac{3}{4}[/tex] < [tex]-\frac{1}{4}[/tex]
Step-by-step explanation:
Just so you know, the larger a negative number is, the smaller the number's value is.
I need help with the graph I don’t I understand it
a) Simplify
X - 2 / 7(x - 2)2
Answer:
3x/7 + 8/7
Step-by-step explanation:
Which of the following expression is equivalent to 6^-7?
Answer:
B
Step-by-step explanation:
I NEED HELP ASAP I WILL MARK YOU THE BRAINLIEST
Choose the correct angle relationship for each angle pair.
7. If it takes 2 gardeners 6 hours to landscape a garden, how long would it take 3 gardeners?
12
8. Question 7 is an example of...
Direct proportion
Inverse proportion
find the circumference of the circle shown below. Remember to use 3.14 for LaTeX: \piπ, and be sure to round your final answer to the nearest hundredth, as needed.
Answer:
62.8 If rounded to the nearest hundredth it is 62.80
Step-by-step explanation:
1. Formula for circumference of a cirlcle is 2 (pi) r where for this problem,
2 =2,
pi= 3.14 and
r= 10 (1/2 of the diameter =radius)
2. 2 x 3.14 x 10
multiply all 3 numbers above, you get 62.8
3. Depending on your teacher or the test,
62.8 is your answer, if it HAS to be to the nearest hunderedth, and it's on a specific program, it might want you to enter the "0" at the end 62.80
A computer has the shape of a rectangular solid. Find the volume of the computer, with dimensions by 2 inches by 2 inches by 2.7 inches
What is the volume of the computer?
Answer:
10.8 in³
Step-by-step explanation:
2x2x2.7=10.8
In the rectangle below what is X?
Answer:
X= 82°
Step-by-step explanation:
Since we know ∠DAB is 41°, we also know that ∠CBA is 41°, since they must be equal. This tells us that the bottom angle of that triangle must be 98°, since the sum of all interior angles must equal 180°. Since this angle is supplementary to x, we know that x must equal 82°.
7/4 - 5/4 =
O 1
o 2/4
0 2/8
0 2/0
Step-by-step explanation:
7/4-5/4
2/4
2/4 is the answer but if you reduce it to it's lowest term it is 1/2
please give brainliest
Answer:
Option 2. 2/4
Step-by-step explanation:
[tex] \frac{7}{4} - \frac{5}{4} [/tex]
[tex] \frac{7 - 5}{4} [/tex]
[tex] \frac{2}{4} (ans)[/tex]
I need help. Alina drew a model of a square pyramid. The dimensions of the model are shown in the diagram. What is the volume of Alina’s model in cubic centimeters. Does anyone know what it means? I don’t get it.
Answer:
400 cm
I found the answer on Quizizz lol, I had the same question for a review :/ I still don't know how they got the answer though
The volume of Alina’s model in cubic centimeters when the side is 10 so here the volume should be considered as the 400.
Calculation of the volume:Since
The Height of the pyramid is 12 cm
The area of the base should be
[tex]= side^2\\\\= 10^2\\\\= 100[/tex]
Now the volume be
[tex]=1/3 * 100 * 12[/tex]
= 400
Hence, The volume of Alina’s model in cubic centimeters should be 400.
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у= -6х + 4
Solve for slope and y intercept
what is the value of x?
a. 10
b. 11
c. 3
d. 5
Answer:
5
Step-by-step explanation:
2 + 2+ + 13
2 + 15 + x 2
Combine like terms
2 + 1 5 + 3 +15
ok now when u get that answer u will get a different equation wich is
3 + 15
usually we can solve this by dividing 3 from both sides... 3x/3 = 15/3, getting x=5 as your answer.
1 point
3) ATTACH WORK FOR THIS QUESTION - WORTH 3 POINTS: Evaluate the
following expression below.
Answer:
(3⁰)×(4‐²)×(2³)
1×1/16×8
1/2
so th3 answer is option c.
The length of Juan’s math book is 10.5 inches. What is the approximate length of her book in centimeters?
Answer:
27 cm
Step-by-step explanation:
You go to a restaurant with 4 friends (total of 5 people), and decide to spli
the bill evenly. What portion of the bill are you responsible for?
As an estimation we are told 5 miles is 8 km.
Convert 45 miles to km.
Answer:
to get from 5 miles to 45 miles you multiply by 9 right so just times 8km by 9 which is 72 to get 45 miles into km.
Step-by-step explanation:
Answer:
72 km
Step-by-step explanation:
5m = 8km
÷5. ÷5
1m = 1.6km
×45. ×45
45m = 72km
