Answer:
x² + 24x + 84
Step-by-step explanation:
4 * (x+3)(x+3) - 3 * (x+4)(x-4)
4(x²+6x+9) - 3(x²-16)
4x² + 24x + 36 - 3x² + 48
x² + 24x - 84
For the experiment of rolling an ordinary pair of dice, find the probability that the sum will be less than 3 or greater than 5.
According to the given statement the probability that the sum will be less than 3 or greater than 5 = 27/36.
What is Probability?Probability is simply the likelihood of something occurring. When we are uncertain about the result of an event, we might discuss the probabilities of several outcomes—how likely they are. Statistics is the study of occurrences guided by probability.
According to the given information:When two dice are rolled, the total number of possible outcomes is 36.
sum possibilities probability(favorable/ total outcomes of the event)
2 (1,1) 1/36
3 (1,2) , (2,1) 2/36
4 (2,2), (3,1) , (1,3) 3/36
5 (4,1), (1,4),(2,3),(3,2) 4/36
6 (1,5),(5,1),(2,4),(4,2),(3,3) 5/36
7 (2,5),(5,2)(1,6),(6,1),(3,4),(4,3) 6/36
8 (2,6),(6,2), (5,3),(3,5),(4,4) 5/36
9 (3,6),(6,3),(5,4),(4,5) 4/36
10 (5,5),(4,6),(6,4) 3/36
11 (6,5),(5,6) 2/36
12 (6,6) 1/36
probability that the sum will be less than 3 or greater than 5 = probability for the sum to be 2 + probability for the sum to be 6 + probability for the sum to be 7 + probability for the sum to be 8 + probability for the sum to be 9 + probability for the sum to be 10 + probability for the sum to be 11 + probability for the sum to be 12.
= (1/36) + (5/36) + (6/36) + (5/36) + (4/36) + (3/36) + (2/36) + (1/36)
= (1 + 5 + 6 + 5 + 4 + 3 + 2 + 1)/36
= 27/36
According to the given statement the probability that the sum will be less than 3 or greater than 5 = 27/36.
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Show that sec^2x+csc^2x/sec^2xcsc^2x
Answer:
[tex]\frac{1}{csc^{2}(x)}+\frac{1}{sec^{2}(x)}[/tex]
Step-by-step explanation:
The image below shows step-by-step on how to solve it.
Hope this helps! :)
Help PLEASE!!! This is urgent
Answer:
.3
Step-by-step explanation:
7+7+6=20
6 green out of 20 total
.30 chance
I need help on this math question please fully answer the question i need help.
Mark has taken 3 tests this semester and his average is a 78%. He really wants to
get his test average to an 80% after his next test. What does he need to get on test
#4 to do that?
Answer:
I would say 82 but it depends on how much each test was worth.
Step-by-step explanation:
Use the diagram to fill in the angle that makes the statement true.
Compare -8.9 and -9.3.
A.
-8.9 = -9.3
B.
-8.9 > -9.3
C.
-8.9 < -9.3
A number line will be helpful to compare the two of the given terms. The correct option is B, -8.9 > -9.3.
What is a number line?A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.
The two of the given numbers can be compared as shown below.
-8.9 > -9.3
This is because on a number line, numbers on left are of less value than numbers on the right. And since -8.9 is close to 0, then -9.3.
Hence, the correct option is B, -8.9 > -9.3.
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. A sea turtle made 460 dives in 12 hours. At this rate, how many dives did the sea turtle make in 3 hours?
Answer:
"3 hours* (460 dives/ 12 hours)= 115 dives."
"The sea turtle made 115 dives in 3 hours"
Step-by-step explanation:
"The sea turtle made 115 dives in 3 hours
Hope this helps :)
The table represents the functions f(x) and g(x) Which input value produces the same output value for
the two functions?
x= -12
x=-9
x=-6
x=-3
Please help
Answer:
x=-6
Step-by-step explanation:
g(-6)=3
f(-6)=3
Write the reciprocal of (-6/7)^5÷7^0
Answer:
1kekeo4oo4o2oqtñwkakksksjsjdjfjkgkg
The new pool cover is 35 feet long and 13 feet wide with the overhang.
What would be the area of the new solar pool cover for the swimming pool?
Square Feet
Answer:
455
Step-by-step explanation:
multiply the width by the length
Multiply the fractions. Select the answer that is in simplest form
9x2 1/3
The product of the given fractions is 21.
The given expression is 9 × [tex]2 \frac{1}{3}[/tex]
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Now, the product of fraction can be solved by multiplying numerators and write the result in numerator and multiplying denominators and write the result in denominators.
That is, 9 × [tex]2 \frac{1}{3}[/tex] = 9 × [tex]\frac{7}{3}[/tex] = 21
Therefore, the product of the given fractions is 21.
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If a driver uses 1/ 10 of gas every day what fraction of a tank will he use in 1 week
The fraction of gas the driver use in one week is 7/10 of a tank.
Fraction of gas the driver use in one weekA fraction is a number which has a numerator and a denominator. such as 7/10
Numerator refers to the upper or top value. 7 is the numerator.
Denominator refers to lower or bottom value. 10 is the denominator.
Fraction of gas used in a day = 1/10Number of days in a week = 7 daysFraction of gas the driver use in one week = Fraction of gas used in a day × Number of days in a week
= 1/10 × 7
= (1 × 7) / 10
= 7/10 of a tank
Therefore, the fraction of gas the driver use in one week is 7/10 of a tank.
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convert y=1/2x-5 into integers
Answer:
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
1
2
y-intercept:
5
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
Tap for more steps...
x
y
0
5
2
6
Graph the line using the slope and the y-intercept, or the points.
Slope:
1
2
y-intercept:
5
x
y
0
5
2
6
image of graph
Solve each system by elimnination.
5c- 4t= 8
14 + 4t = 3c
WILL GIVE BRAINLIEST IF CORRECT!!
How many different 7-digit positive integers exist? (Note that we don't allow "7-digit" integers that start with 0, such as 0123456; this is actually a 6-digit integer.)
[tex]\huge\boxed{\fcolorbox{red}{pink}{Answer}}[/tex]
[tex]\huge\pink{▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬}[/tex]
[tex] <marquee behaviour-move> <font color="blue"> <h1>9,000,000 seven</ ht> </marquee> [/tex]
[tex]\huge\pink{▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬}[/tex]
Write the given linear system without the use of matrices. Assume X = x y z . X' = 7 6 −9 5 1 1 0 −3 4 X + 0 3 1 e6t − 8 0 4 e−3t
Answer:
X= 3
Step-by-step explanation:
Which relation is NOT a function?
la primera ya que no se puede repetir
pls help I will fail 10th grade
Answer: A
Step-by-step explanation: Okay so there are plenty of steps to this equation but to save you time, the answer is A. If your puting
you answer into decimal form it woukd equal x= 4 x= -2.5
What is the perimeter of the parallelogram?
Answer:
P= 2 (a+b)
Step-by-step explanation:
The other answer choice is 30
Answer:
21 pencils
Step-by-step explanation:
b 21 pencils
Help I have like 10 minutes
Answer:
Option C
Step-by-step explanation:
please mark me brainliest and 5 star
Emmett surveyed his class about the number of books his classmates read over the summer. The results of his survey are shown in the
following table.
Number of books Number of students
0-1
9
2-3
8
4-5
2
6-7
5
8-9
3
Emmett created the following histogram from the data, but he made mistakes while constructing it.
Select the parts of the histogram that Emmett needs to fix for the histogram to accurately represent the data in the table.
Number of Books Read
During Summer Break
у
10
Number of Students
8
6
0
10
8
Number of Books Read
no
Answer:
The bar 4-6 and 8-10
Step-by-step explanation:
I got it correct.
solve this fraction
2 3/4 - 5 1/8
PLEASE HELP ME!!!!!!!!!!
Answer:
-7/10
Step-by-step explanation:
To find the slope of a line, you need to find the [tex]\frac{rise}{run}[/tex] between two points. I will be using the points (-3, 5) and (7, -2).
[tex]\frac{rise}{run}[/tex] = [tex]\frac{-2-5}{7-(-3)}[/tex]
= [tex]\frac{-7}{10}[/tex]
= -7/10
given x = 2^p and y = 2^q, express in terms of x and/or y
I) 2^p+q
II) 2^2p
III) 2^q-1
Answer:
|||)2^ (p + q) = 2^p • 2^q because you'd add the exponents, so xy2^ 2q = 2^(q + q) = 2^q • 2^q as above, so y^22^ (p-1) = 2^p / 2^1 because you subtract exponents when dividing, so x/2If xy = 32 then x = 32/yso 2xy^2 would = 2(32/y)•y^2 = 64y = 32 so y = 1/2making x = 64 since xy = 32so 64 = 2^p; p = 61/2 = 2^q; q = -1i am having trouble solving this. -2 1/3 - (-5)=
Answer:
8/3 or 2 2/3
Step-by-step explanation:
1. -2 1/3 -(-5)=
2. -2 1/3 + 5=
3. -7/3 + 5=
4. -7/3 + 15/3=
5. 8/3 = 2 2/3
[6TH GRADE] Kidneys are components of the urinary system, a subsystem that filters waste from the blood. A kidney is made up of millions of smaller units, called nephrons. Based on this information, which of the statements could be true? Select ALL that apply.
A. A nephron is a subsystem.
B. A kidney is a subsystem.
C. A kidney is an organ system.
D. A kidney is an organ.
help please:/ 11 points :D
im going to put this in mathematics because mathematics is most viewed.
Answer:
D. A kidney is an organ is correct.
Step-by-step explanation:
A kidney is a part of our body that cleans our blood, ridding it of all uncleanliness, similar to a water filter.
A kidney is an organ because it's one of the essential parts of our body that we need to survive. Our body couldn't live with too much/ too little salt and other substances in our blood.
Therefore, the correct answer is D. A kidney is an organ.
Hope this helps! :D
If you're reproducing a 3 inch by 3 inch postcard on an 18 inch by 18 inch poster, what ratio do you use?
Answer:
1:6
Step-by-step explanation:
Solve the system of equations by the addition method.−2x−y=0 10x+y=−8
Answer:
(-1, 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
-2x - y = 0
10x + y = -8
Step 2: Solve for x
Elimination
Combine equations: 8x = -8Isolate x: x = -1Step 3: Solve for y
Define equation: -2x - y = 0Substitute in x: -2(-1) - y = 0Multiply: 2 - y = 0Isolate y term: -y = -2Isolate y: y = 2Answer:
Step-by-step explanation:
-2x -y = 0
10x+ y= -8
8x = -8
x = -1
-10 + y = -8
y = 2
(-1, 2)