Answer:
4x(2x-1)
Step-by-step explanation:
Using GCF, you can be able to take out a factor of 4x from 8x^2 and 4x.
A baseball is thrown into the air from a height of 5 feet. the ball reaches a maximum height of 43.5 feet and spends a total of 3.2 seconds in the air. which equation models the height of the baseball? assume that acceleration due to gravity is –16 ft/s2. h(t) = 16t2 49.64t 5 h(t) = -16t2 5t 49.64 h(t) = -16t2 49.64t 5 h(t) = 16t2 5t 49.64
The equation that models the height of the baseball is determined as H(t) = 5 + 49.64t -16(t)².
Maximum height reached by the base ball
The maximum height reached by the baseball is calculated as follows;
H = y₀ + v₀yt + ¹/₂gt²
Assuming negative direction for upward motion
H = y₀ + v₀yt - ¹/₂gt²
0 = y₀ + vt -16(t)²
0 = 5 + 3.2v - 16(3.2)²
0 = 5 + 3.2v - 163.84
3.2v = 158.84
v = 158.84/3.2
v = 49.64
Required equation modelH(t) = 5 + 49.64t -16(t)²
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Answer:C?
Step-by-step explanation:
edge
Olivia’s power went outa at midnight she knows that during a power outage if is important to leave the freezer and refrigerator doors closed
Based on the fact that there is power outage, it is important to leave the freezer and refrigerator doors closed as when it is open, it may lead to heating off fast.
What is power outage?This is known to be when there is no electrical power due to unforeseen reasons.
Based on the fact that there is power outage, it is important to leave the freezer and refrigerator doors closed as when it is open, it may lead to heating off fast and thus things on it may get bad easily. The right thing to do is to leave it closed.
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A triangle cannot have one obutse angle and one right angle. True or flase?
Answer:
No
Step-by-step explanation:
Since an equilateral triangle has equal sides and angles, each angle measures 60°, which is acute. Therefore, an equilateral angle can never be obtuse-angled. A triangle cannot be right-angled and obtuse angled at the same time. Since a right-angled triangle has one right angle, the other two angles are acute.
Answer:
false
Step-by-step explanation:
the prom committee is made up of 8 boys and girls. If there are 12 boys and 15 girls in the group to pick the committee from, how many ways can the committee be organized?
1). 1860 ways
2). 3185325 ways
3). 2220075 ways
4). 675675 ways
Thanks guys!!
The number of ways can the committee be organized will be 2220075. Then the correct option is 3.
What are permutation and combination?A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
The prom committee is made up of 8 boys and girls.
If there are 12 boys and 15 girls in the group to pick the committee from.
Then the number of ways can the committee be organized will be
Then the number of ways is given by the combination formula. Then we have
Number of ways = ¹²C₀ x ¹⁵C₈ + ¹²C₁ x ¹⁵C₇ + ¹²C₂ x ¹⁵C₆ + ¹²C₃ x ¹⁵C₅ + ¹²C₄ x ¹⁵C₄ + ¹²C₅ x ¹⁵C₃ + ¹²C₆ x ¹⁵C₂ + ¹²C₇ x ¹⁵C₁ +¹²C₈ x ¹⁵C₀
Number of ways = 6435 + 77220 + 330330 + 660660 + 675675 + 360360 + 97020 + 11880 + 495
Number of ways = 2220075
Thus, the correct option is 3.
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Work out the surface area of this cylinder. 8 cm 16.8 cm
The complete question is
" Work out the surface area of this cylinder if the diameter of the cylinder is 8 cm and height is 16.8 cm."
The surface area of the cylinder of diameter 8 cm and height 16.8 cm would be 547.616 cm sq.
What is the surface area of the cylinder?The surface area of the cylinder of the radius of the base r and the height h,
A = 2πr ( r + h)
We have been given as
diameter = 8 cm
Height = 16.8cm
The radius = 8/2 = 4cm
The surface area of the cylinder
A = 2πr ( r + h)
A = 2 x 3.14 x 4 ( 4 + 16.8)
A = 25.12 (21.8)
A = 547.616 cm sq.
Hence, The surface area of the cylinder of diameter 8 cm and height 16.8 cm would be 547.616 cm sq.
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Which points are 19 units apart?
(-14, 12) and (5, 12)
(-5, 19) and (-12, 19)
l(-20, 5) and (1, 5)
(14, 12) and (5, 12)
ous Activity
#1
√(-14-5)²+(12-12)²√19²√36119Yes
#2
√(-5+12)²√7²7No
#3
√(-20-1)²√21²21No
#4
√(14-5)²√9²9No
Answer:
(-14, 12) and (5, 12)
Step-by-step explanation:
From inspection of the points given, we can see that all pairs of points share the same y-values.
Therefore, each pair of points are on the same horizontal line.
To find the distance between the points, simply find the difference between the x-values.
Given points: (-14, 12) and (5, 12)
⇒ Difference between x-values = 5 - (-14) = 19 units
Given points: (-5, 19) and (12, 19)
⇒ Difference between x-values = 12 - (-5) = 17 units
Given points: (-20, 5) and (1, 5)
⇒ Difference between x-values = -20 - 1 = -21 = 21 units
Given points: (14, 12) and (5, 12)
⇒ Difference between x-values = 14 - 5 = 9 units
Multiplying 10 by what number will produce an irrational number?
O √4
O 3π
O 10
O 10.5
Answer:
Multiplying 10 by pi will produce an irrational number.
Step-by-step explanation:
10 and 10 are both rational, 10 and 10.5 are both rational, 10 and √4 are both rational (I researched to double check), leaving 10 rational and 3π irrational, meaning that the answer is B 3π.
What are the domain and range of the function f(x)=-log(5-x)+9?
Answer:
Domain: x < 5
Range: all numbers, -∞, ∞
This is because the problem will be able to be solved with multiple solutions as long as there are no specific values assigned to x. The problem will have a solution from a range of negative infinity to infinity, meaning every number or solution you can think of.
In the diagram below, GH is parallel to DE . If GH is 3 more than EH FH=10, and DE=12 find the length of EH. Figures are not necessarily drawn to scale. State your answer in simplest radical form, if necessary.
Answer: 5
Step-by-step explanation:
Since [tex]\overline{GH} \parallel \overline{DE}[/tex], by the corresponding angles theorem, [tex]\angle FGH \cong \angle FDE, \angle FHG \cong \angle FED[/tex]. This means [tex]\triangle FGH \sim \triangle FDE[/tex] by AA.
As corresponding sides of similar triangles are proportional,
[tex]\frac{10}{x+3}=\frac{10+x}{12}\\(10)(12)=(10+x)(x+3)\\120=x^{2}+13x+30\\x^{2}+13x-90=0\\(x+18)(x-5)=0\\x=-18, 5[/tex]
However, as distance must be positive, we consider the positive solution, x=5.
Therefore, the answer is 5
Which of the following choices lists the values of the side lengths of a triangle with 45-45-90 degree angles and a hypotenuse = 24?
√2, √2, 24
24√2, 24√2, 12
24, 24, 24√2
12√2, 12√2, 24
The sides of the triangle are (d) 12√2, 12√2, 24
How to determine the side lengths?The given parameters are:
Hypotenuse = 24Angle = 45-45-90 degree anglesIn a 45-45-90 degree angle triangle, we have:
Hypotenuse = Opposite√2 and Hypotenuse = Adjacent√2
This means that:
Opposite =Adjacent
So, we have:
24 = Adjacent√2
Divide both sides by √2
Adjacent = 24/√2
Evaluate
Adjacent = 12√2
This means that:
Opposite = 12√2
Hence, the sides of the triangle are (d) 12√2, 12√2, 24
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Does the table below represent a function? Why or Why Not?
Answer:
A.
Step-by-step explanation:
For the x value (6) there are two different output values(y) 5 and 6.
If it's a function then there must be one output value for every input.
the squared paper shows the nets of cuboid q and cuboid b. do the two cuboids have the same surface area? show calculations to show how you know.
please explain as well :))
Answer:
You are to write a five paragraph literary essay based on one of the 4 prompts and what you have read and learned in this module. These are your options:
1. How do the events of "The White Umbrella" teach the narrator a lesson about shame and acceptance?
2. What role does creativity play in "The Bat-Poet"?
3. How does the character of Squeaky change over the course of "Raymond's Run"?
4. Discuss the influences of older family members on the protagonists and speakers in the stories and poems of this unit.
You are to write a five paragraph literary essay based on what you have read and learned in this module. Your final submission should meet the following requirements.
• Submit completed pre-writing and outline documents.
• Write an essay that contains an introduction with hook and thesis statement, supporting paragraphs with evidence and at least one quotation, and a conclusion that restates the thesis and reviews main points.
• Use transitions appropriate to the pattern of organization.
• Use vocabulary to create tone and voice.
• Cite primary source (quotation).
• Submit completed revision checklist.
• Vary sentence structure.
• Create sentences with parallel structures.
• Use technology in the writing process.
Step-by-step explanation:
Question 1 of 10
The slope of the line below is - Write a point-slope equation of the line -1/7
using the coordinates of the labeled point.
10
610
(3, 3)
10
610
Step-by-step explanation:
How many combinations of 3 playing cards (from a 52-card deck) exist?
25,000
1,649
523
its not 22,100 btw....
Answer:
Step-by-step explanation:
To determine the number of combinations of 3 playing cards from a standard 52-card deck, we can use the formula for combinations, which is given by:
C(n, k) = n! / (k!(n-k)!)
Where n is the total number of items (in this case, the number of cards in the deck) and k is the number of items chosen (in this case, 3 cards).
Plugging in the values:
n = 52 (total number of cards in the deck)
k = 3 (number of cards chosen)
C(52, 3) = 52! / (3!(52-3)!)
Calculating the factorial terms:
52! = 52 x 51 x 50 x ... x 3 x 2 x 1
3! = 3 x 2 x 1
(52-3)! = 49! = 49 x 48 x ... x 3 x 2 x 1
Simplifying the equation:
C(52, 3) = 52 x 51 x 50 / (3 x 2 x 1)
Cancelling out the common factors:
C(52, 3) = (52 x 17 x 25) / (3 x 2 x 1)
C(52, 3) = 22,100
Therefore, there are 22,100 combinations of 3 playing cards that can be chosen from a 52-card deck.
The outside edges of the walkway form a rectangle whose length and width are proportional to the sides of the garden, increased by a scale factor of 3. the sides of the garden are (2x+4) and (3x+2). determine the lengths of the outside edges of the garden. write your answer in
simplest form.
The length and the width of the outside edge of the garden will be ( 6x + 12 ) and ( 9x + 6 ) respectively.
What is the scale factor?In mathematics, a scale factor is the proportion of related dimensions of an object to a description of that object.
Given that:-
The outside edges of the walkway form a rectangle whose length and width are proportional to the sides of the garden, increased by a scale factor of 3. the sides of the garden are (2x+4) and (3x+2)The length and width of the outside edge will be:-
The sides are Dilated by factor 3 so the edges of the rectangle will be calculated as;-
Length = 3 ( 2x+4 ) = 6x + 12
Width = 3 ( 3x+2 ) = 9x + 6
Therefore the length and the width of the outside edge of the garden will be ( 6x + 12 ) and ( 9x + 6 ) respectively.
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The following graph models the height of a model rocket, in feet, measured over time, in seconds.
How many seconds does it take for the rocket to reach the ground after takeoff?
Enter your answer as a number, like this: 42
Do not round your answer if it is a decimal.
Answer:
5.04 seconds
Step-by-step explanation:
The time taken for the rocket to reach the ground can be found on the graph by finding the x-intercept, at which the height (y-value) will be 0According to the graph :
The x-intercept is (5.04, 0)Hence, it takes the rocket 5.04 seconds to reach the ground after takeoffObserve the end points on x axis of the parabola
They are
(0,3)(5.04,0)Time is x axis
So total time
5.04-05.04si like cheese burger do u liek cheese burgers 2+2+12-21+492
First correct answer gets brainly! No Spamming or will report
Slope question
What is Y?
Y=2x+8
(04.01 MC)
The tables show some input and output values:
Table A
Table B
Input Output
Input Output
1
7
6
1
2
9
7
3
3
7
2
4
5
8
5
Which tables represent functions?
O Only A
O Only B
O Both A and B
ONeither A nor B
Answer:
table a represents functions table b does not
The following is the number of red dresses each student owned.
1 3 5 2 1 4 2
2 4 7 3 8 8 6
9 1 1 2 5 3 3
A. Organize the data above using an Ungrouped Frequency Distribution table. B. Write interesting things you can see from the data after you have organized in a Frequency Distribution
Answer:
From the given data:
[tex]\large\begin{array}{| c | c | c |}\cline{1-3} \sf No.\:of\:red\:dresses & \sf Tally & \sf Frequency\\\cline{1-3} 1 & \sf llll & 4 \\\cline{1-3} 2 & \sf llll & 4 \\\cline{1-3} 3 & \sf llll & 4 \\\cline{1-3} 4 & \sf ll & 2 \\\cline{1-3} 5 & \sf ll & 2 \\\cline{1-3} 6 & \sf l & 1 \\\cline{1-3} 7 & \sf l & 1 \\\cline{1-3} 8 & \sf ll & 2 \\\cline{1-3} 9 & \sf l & 1 \\ \cline{1-3}\end{array}[/tex]
More than half of the students own the least number of red dresses, so the data is positively skewed (skewed to the right).
As the number of red dresses owned increases, the number of students owning this number of red dresses generally decreases.
4 x2-5x-6=0 quadratic form
Step-by-step explanation:
[tex]4 {x}^{2} -5x-6=0 [/tex]
Solve using quadratic formula
Solution:
We know that
[tex] \rm \: Quadratic \: Formula = \cfrac{ - b± \sqrt{ {b}^{2} - 4(ac) } }{2a} [/tex]
ATQ,here,
a = 4b = -5c = -6Substitute the values into the quadratic formula.
[Let Quadratic Formula = x][tex]\rm\implies x = \cfrac{5 ± \sqrt{( - 5) {}^{2} - 4 \times (4 \times - 6) } }{2 \times 4} [/tex]
[tex]\rm\implies{x} = \cfrac{5 ± \sqrt{25 - 4 \times (24) } }{2 \times 4} [/tex]
[tex] \implies \rm \: x = \cfrac{5 ± \sqrt{25 - 96} }{8} [/tex]
[tex] \implies \rm \: x = \cfrac{5± \sqrt{121} }{8} [/tex]
[tex] \implies \rm \: x = \cfrac{5± \sqrt{11 \times 11} }{8} [/tex]
[tex] \implies \rm \: \: x = \cfrac{5±11}{8} [/tex]
The answer will be the combination of both solutions[tex]\boxed{x = 2}[/tex]
OR
[tex]x = \boxed{- \cfrac{3}{4}} [/tex]
Solve for the value of s.
(s+1)°
(2S-1)°
Answer
90*
Step-by-step explanation:
Answer:
s = 30
Step-by-step explanation:
The three angles lie on a line.
The sum of angles on a line are supplementary, meaning they add up to 180 degrees.
s + 1 + 90 + 2s - 1 = 1803s = 90s = 302+7x1232 = what pls help its matth
Answer:
8626
Step-by-step explanation:
use a calculator in instead of here this was a EZ question but thanks for the points and if you have a harder question i'll be waiting
Answer: 8,626
Step-by-step explanation:
PEMDAS
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Multiplication comes first:
2+ (7x1232)
Next, addition:
2+8624
8626
Hope this helps :)) Brainliest would be appreciated :D
(Refer to the attached image)
===========================================
Work Shown:
side a = 8side b = 5angle C = 88 degreesApplying the law of cosines
c^2 = a^2 + b^2 - 2*a*b*cos(C)
c^2 = 8^2 + 5^2 - 2*8*5*cos(88)
c^2 = 64 + 25 - 80*cos(88)
c^2 = 86.2080403
c = sqrt(86.2080403)
c = 9.2848285
c = 9
Technically he needs 10 meters of rope because of the extra 0.28 portion, but I'll stick with 9 meters since your teacher said to round to the nearest whole number.
What is the equation in point slope form of the line that is parallel to the given line and passes through the point (4,1)?
A Y-1=-2(x-4)
B y-1=-1/2(x-4)
C y-1=1/2(x-4)
D y-1=2(x-4)
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
[tex]y-1=\stackrel{\stackrel{m}{\downarrow }}{2}(x-4)\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}[/tex]
so we're really looking for the equation of a line with a slope of 2 and that it passes through (4 , 1)
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{2}(x-\stackrel{x_1}{4})[/tex]
kinda twins.
Select the correct answer.
What is the correct rational exponent form of the expression √?
Submit
12
2
x²
x-1
Answer:
2√3
√2
x
√x-1
are the answers
What are two possible measures of the angle below?
Use for #3 and #4. The 8th grade had a cooler of water for the pass the cup competition. It had 15 gallons of water. Each cup of water held 8 oz. of water. (There are 128 oz of water in 1 gallon.) 4. Solve for x. (awnsers) 240 270 200 210
Answer:
I believe the answer is 240
Which if the following r-values represents the strongest correlation?
A. 0.35
B. 0.45
C. 0.25
D. 0.55
Answer:
0.55 hope it will help you
A school had a lot of problems with
student absences and wanted to try a
intervention program to see if it
encouraged students to come to school
more often. As a trial, 20 students were
split into two equal size groups. Group 1
would get the new intervention and
Group 2 got no intervention. The mean-
number of absences was calculated after
one month for each group, as shown in
the table below. What inference can be
made about the results?
The inference is that the results of the study are statistically significant.
How to make the inference about the results?For group 1, we have:
Mean = 1.7
For group 2, we have:
Mean = 3.3
The mean of group 2 is greater than group 1, and the mean difference is:
Difference = 3.3 - 1.7
Evaluate
Difference = 1.6
Based on the sample values, the mean difference of 1.6 is significant.
Hence, the inference is that the results of the study are statistically significant.
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