The length of a rectangle 3yd is less than twice the width, and the area of the rectangle is 14yd^2. Find the dimensions of the rectangle.
Answer: 4 yd x 3.5 yd
Step-by-step explanation:
A = LW
L = 2x - 3
W = x
14 = (2x - 3)(x)
14 = 2x^2 - 3x
2x^2 - 3x - 14 = 0
(x + 2)(2x - 7)
x = - 2, 7/2 or 3.5 (length cannot be negative)
x = 3.5 (width)
Length
2x - 3
2(3.5) - 3
7 - 3 = 4
Mark as brainliest please TT. Thank you :D
Hope it helps!!!
reflect the point worksheet
Answer:
I don't know the answer I thinkWhich point is located at -8.65−8.65minus, 8, point, 65?
The question is an illustration of a number line, and the point located at -8.65 is B
How to determine the point?From the complete question, we have the following highlight
Point B is between -8 and -9, and point B is closer to -9 than -8
No other point is between -8 and -9
So, we can conclude that the point located at -8.65 is point B
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Match each equation to its graph. use the drop-down menus to describe the equations. y = x 1 y = x2 y = ( 3 2 ) x y = x2 2 x2 − 2
The following equations are described as follows:
y = x+1 Lineary = x² Quadraticy=[tex](3/2)^{x}[/tex] Exponentialy = x²+2/x²-2 Rational.What are equations?An equation is a mathematical expression that shows the relationship between two or more mathematical variables that are equal to one another using the equal sign.
The following are various types of equations:
Linear QuadraticRationalExponential etc.Learn more about equations at:
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Does anyone know a math equation using the distributive property that equals 15
Answer:
3(5)=x
Explenation:
3*5 is equal to 15
If a galapagos tortoise lives for an average of 180 years how many years. How many years in total will be accumulated for 8 tortoises of the same age
If only half of those tortoise live to be that old and other half are half that age what is the total number of years between them now?
Answer:
1440 Years
Step-by-step explanation:
hope it helps
mary has 3 blouses (red, black, and white), 2 pairs of pants (black and blue), and 4 pairs of shoes ( red, blue, black, and white). if mary picks each part of her outfit randomly, what is the probability that mary's outfit will be black bouse, black pants, black shoes?
The probability that Mary's outfit will be black blouse, black pants, black shoes is 1/24 if the Mary has 3 blouses, 2 pairs of pants, and 4 pairs of shoes.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
We have:
Mary has 3 blouses (red, black, and white), 2 pairs of pants (black and blue), and 4 pairs of shoes (red, blue, black, and white).
P(black blouse) = 1/3
P(black pants) = 1/2
P(black shoes) = 1/4
Probability that Mary's outfit will be black blouse, black pants, black shoes:
= (1/3)(1/2)(1/4)
= 1/24
Thus, the probability that Mary's outfit will be black blouse, black pants, black shoes is 1/24 if the Mary has 3 blouses, 2 pairs of pants, and 4 pairs of shoes.
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help me pls! giving out brainliest
Answer:
1) 3/2
2) 13/10
3) 1/3
4) 9/7
5) 13/20
Step-by-step explanation:
Please help me!!!!!!!!!!!!!!!!!!!!!!!
Answer:
120(I'm not definitely sure)
Step-by-step explanation:
IQR= Q3- Q1= 170 - 50 = 120
What is the exact value of the other root?
The exact value of the other root to the quadratic equation is [tex]x = -2 - \sqrt 6[/tex]
How to express the solution?One of the root is given as:
[tex]x = -2 - \sqrt 6[/tex]
As a general rule, the solution to a quadratic equation is represented by:
[tex]x =\frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]
This means that the actual root of the given root is:
[tex]x = -2 \pm \sqrt 6[/tex]
Split the equation
[tex]x = -2 - \sqrt 6[/tex] and [tex]x = -2 + \sqrt 6[/tex]
Hence, the exact value of the other root to the quadratic equation is [tex]x = -2 - \sqrt 6[/tex]
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anyone knows this?!
Answer:
I would get two news article that have done research on lets say the weather next week, and compare how they used data, and probability citing sources of course i know it sounds complicated
Step-by-step explanation:
i dont know if this helps- but i hope it does Lol
find the value of sinx if tanx=5/4
Answer:
sinx=5/√41
Step-by-step explanation:
tanx=5/4=p/b
According to Pythagoras's theroem;
h=√p^2+b^2
or, h=√5^2+4^2
or, h=√25+16
:-h=√41
Now,
sinx=p/h
=5/√41
Find the equation of a line that is parallel to 2x + 6y - 7 = 0 and crosses the x - axis at x=3
Bottom part, I need a answer quick please help!
Answer: 1/2, -12
Step-by-step explanation:
[tex]y = (2x - 1)(2x + 24)[/tex]
Set both sets of expressions in parenthesis equal to 0
[tex]2x-1=0, 2x+24 = 0[/tex]
solve...
[tex]x=\frac{1}{2}, x=-12[/tex]
Solve this system of linear equations. Separate
the x- and y-values with a comma.
7x = -63 - 11y
Adding both
15x=30x=2Putting in second one
8(2)=93+11y11y=16-9311y=-77y=-7Answer:
2, -7
Step-by-step explanation:
QuestionSolve the system of linear equations:
8x = 93 + 11y7x = -63 - 11y-------------------------------------------------------------------------------------
SolutionAdd the equations together to eliminate y:
8x = 93 + 11y
+ 7x = -63 - 11y
-------------------
15x = 30
⇒ x = 30 ÷ 15
⇒ x = 2
Now substitute the found value of x into one of the equations and solve for y:
⇒ 7x = -63 - 11y
⇒ 7(2) = -63 - 11y
⇒ 14 = -63 - 11y
⇒ 11y = -63 - 14
⇒ 11y = -77
⇒ y = -77 ÷ 11
⇒ y = -7
Therefore, x = 2 and y = -7
Do I reflect if up word or to the left? Help please
Answer:
Upward
Step-by-step explanation:
On a standard graph, the horizontal line is the x-axis and thr vertical is the y-axis
Help me with this question please
The figure of the cube of the length of a side is given as 18.5 in. Hence, The volume of that cube will be 6331.62 cubics in.
How to find the volume of a cube?Suppose that:
The side length of the considered cube is L units.
Then, we get:
The volume of that cube = L³ cubic units.
We have given a figure of the cube of the length of side 18.5 in.
WE need to find the volume of the cube,
The volume of that cube = L³ cubic units.
The volume of that cube = 18.5³ cubic in.
= 6331.62cubicsc in.
Hence, The volume of that cube will be 6331.62 cubics in.
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10. The Harlem Renaissance of the 1920’s could be described as:
a) a period when African Americans gained political leadership
b) a major urban renewal project providing new houses for African Americans
c) a time of increased recognition of African American athletes
d) a rebirth of African American culture as seen through the experiences of musicians and writers
Answer:
Answer is A.
Step-by-step explanation:
I'm pretty sure lmk if I'm wrong.
A carpenter is making a wooden window frame that has a width of 1 inch.
A window with a one-inch frame is shown. The frame is comprised of a rectangle and a semicircle. The rectangle has side lengths of 12 inches and 48 inches. The semicircle has a radius of 6 inches. The frame is 1-inch wider than the window.
How much wood does the carpenter need to build the frame?
5.5 + 106 square inches
5.5 + 116 square inches
5.5 + 153 square inches
5.5 + 162 square inches
Answer:
5.5 + 106 square inches
Step-by-step explanation:
It's the first option.
Answer:
A. 5.5 + 106 square inches
Step-by-step explanation:
3.
In the diagram shown below, AC is tangent to circle o at A and to circle Pat C, OP intersects AC at B, OA
AB = S, and PC = 10.
10
X
B
Р
5
A
What is the length of BC?
A. 6.4
B. 8
C 12.5
D. 16
Answer: 12.5
Step-by-step explanation:
12.5 is the length of BC.
Here, we have,
given that,
In the diagram shown below, AC is tangent to circle o at A and to circle Pat C, OP intersects AC at B, OA = 5, AB = 5, and PC = 10.
now, we know that,
∠OAB and ∠BCP are right angles, because of the tangents.
and, ∠OBA ≅ ∠CBP (vertical angles)
thus, we get,
ΔAOB ≅ ΔCBP, by AA rule.
so, we can set up the proportion:
10/4 = x/5
or, x = 12.5
Hence, 12.5 is the length of BC.
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Write an explicit formula for an, the nth term of the sequence 4, 20,100. WILL GET BRAINLIEST!!!!!
Answer:
aₙ = 4(5)ⁿ⁻¹
Explanation:
To identify a geometric series: second term = √(first term * third term)
Here given:
1st term: 42nd term: 203rd term: 100check ============
20 = √(100*4)
20 = √400
20 = 20 Hence its a geometric term.
Find common difference (r):
20/4 = 5 or 100/20 = 5
Geometric term formula:
aₙ = a₁(r)ⁿ⁻¹ [where a1 is the 1st term, r is common difference]
insert values found
aₙ = 4(5)ⁿ⁻¹ ......this is the nth term.
4,20,100
First term=a=4Common ratio
r=20/4=5Now
explicit formula
a_n=ar^{n-1}a_n=4(5)^{n-1}Find the value of x in each of the following
2x/7-3=2
Answer:
22x/7=52x=35x= 35/2
Step-by-step explanation:
hope this helps
Steven's family traveled 7/10 of the distance to his aunt’s house on Saturday. They traveled 2/3 of the remaining distance on Sunday. What fraction of the total distance to his aunt’s house was traveled on Sunday?
Answer:
Step-by-step explanation:
Answer: 1/5 of the total distance to his grandmothers house was traveled on Sunday
The total distance to to his grandmothers house is assumed to be 1
Marks family traveled 7/10 of the distance to his grandmothers house on Saturday. The remaining distance would
1 - 7/10 = 3 /10
They traveled 2/3 of the remaining distance on Sunday. This means that the distance that they travelled on Sunday is
2/3 × 3/10 = 2/10 = 1/5
What is the mean absolute deviation of 10,9,3,8,10
Answer:9
Step-by-step explanation:
please help mehhhhhhhhhhh
Answer:
c would be a good answer I am not sure but c would be the answer
Maria is camping when she starts to smell smoke. She turns on her radio and hears
that a forest fire is heading her way. How can Maria's organ systems interact to help
keep her safe? Include at least five organ systems in your response.
Maria's organ systems interact to help keep her safe Nervous system, Respiratory system, Endocrine System, Integumentary System and Muscular System.
What are the organ systems?The organ systems is the system of body which consist of different organs of the body. These organs help to work the body freely.
Maria is camping when she starts to smell smoke. She turns on her radio, to get the news that a forest fire is heading her way. The organs which help her to keep safe from fire are listed below:
Nervous system- It helps to react the body against the hazard.Respiratory system-This organ system help Maria to keep breath with increasing the breathing rate.Integumentary System-This system help to protect her inner body from external environment.Endocrine System- It will help to maintain energy level. Muscular System-This system will help to run and do physical task in the fire.Thus, Maria's organ systems interact to help keep her safe Nervous system, Respiratory system, Endocrine System, Integumentary System and Muscular System.
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Suppose you write the numbers 1 to 10 on separate index cards. You randomly choose one card, place it back in the set, and then randomly choose another card. What is the probability that the first card you choose is the number 1 or the second card you choose is the number 2?.
Answer:
1/100
Step-by-step explanation:
From 1 to 10 there are 10 numbers, so the fraction would be:
# / 10
Since you are putting the cards back into the deck, the denominator will never change.
The chances of getting " 1 " are 1 / 10.
And the chances of getting " 2 " are also 1 / 10
To find the odds of getting one-after-the-other, you multiply these 2 chances.
( 1 / 10 ) x ( 1 / 10 ) = ( 1 / 100 )
There is a 1 / 100 chance that you will draw 1, then 2 if you put the cards back after drawing.
Jacob wants to buy a $500,000 15-year term life policy, and the annual premium rate (per $1000 of face value) for his age group is $6.78. if jacob lives until the end of the term of his policy, how much will jacob have paid in premiums overall? a. $101,700 b. $3,390 c. $50,850 d. $73,746
If Jacob lives until the end of the term of his policy, the total amount he would have paid in premiums overall is $50,850.
How much would he have paid in premiums?
Total premium payment = (face value / average premium rate) x number of years x premium
($500,000 / 1000) x $6.78 x 15 = $50,850
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Answer:
C
Step-by-step explanation:
A quantity y varies inversely with the square of x. If y=8 when x=3, find y when x is 4
A. 3/2
B. 7/3
C. 9/2
D. 5/3
Answer:
look at the explanation
Step-by-step explanation:
In order to solve this, we'll set up a proportion.
Since y is inversely related to the square of x, therefore:
y=4/63 ----->9 (square of x)
y=?
25 (square of x)
According to the inverse relation:
y=4/63------->25
y=? --------
-->9 and y=4/175
A train travels from City A to City B. The table below shows the distance and
the amount of time it takes on the train.
Distance (km)
12
24
42
Time (in minutes)
2 4 7
O The train does not always go the same distance each minute.
O The train appears to go the same distance each minute.
Predicted distance traveled in 9 minutes: km
Based on the information provided in the table, the train appears to go the same distance each minute.
Does the train go the same distance each minute?
In order to determine if the train travels the same distance each minute, the average speed of the train has to be determined. Average speed is the total distance travelled per time.
Average speed = total distance / total time
Average speed when distance is 12km = 12 km /2 = 6km/hrAverage speed when distance is 24km = 24 km /6 = 6km/hrAverage speed when distance is 42km = 42 km /7 = 6km/hrTo learn more about average speed, please check: https://brainly.com/question/21734785
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