Answer:
x=-1, x=3
Step-by-step explanation:
find the x intercepts
(x+1)(x-3)=0
x=-1
x=3
The soccer net in Peter's back yard is 5 1/2 feet high, but only 4 feet wide. Jill's soccer net is also 5 1/2 feet high, but is 12 feet wide How many times larger is the area of Jills soccer net? Explain your solution.
The area of Jill's soccer net is 3 times larger than area of Peter's soccer net.
Area of Peter's soccer net
The area of Peter's soccer net is determined by using area of rectangle as shown below;
A1 = 5.5 ft x 4 ft
A1 = 22 ft²
Area of Jill's soccer netA2 = 5.5 ft x 12 ft
A2 = 66 ft²
Ratio of the area of their soccer netA2/A1 = 66/22
A2/A1 = 3
Thus, the area of Jill's soccer net is 3 times larger than area of Peter's soccer net.
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Find the value of the following expression:
(3^8 ⋅ 2−5 ⋅ 9^0)^ −2 ⋅ 2 to the power of negative 2 over 3 to the power of 3, whole to the power of 4 ⋅ 3^28 (5 points)
Write your answer in simplified form. Show all of your steps. (5 points)
Answer:
[tex]2^2=4[/tex]
Step-by-step explanation:
[tex](3^8 \cdot 2^{-5} \cdot 9^0)^{-2} \cdot \left(\dfrac{2^{-2}}{3^3}\right)^4 \cdot3^{28}[/tex]
Using exponent rule [tex]a^0=1[/tex]
[tex]\implies (3^8 \cdot 2^{-5} )^{-2} \cdot \left(\dfrac{2^{-2}}{3^3}\right)^4 \cdot3^{28}[/tex]
Using exponent rule [tex](a^b \cdot a^c)^d=(a^{bd} \cdot a^{cd})[/tex]
[tex]\implies 3^{(8\times-2)} \cdot 2^{(-5\times-2)} \cdot \left(\dfrac{2^{-2}}{3^3}\right)^4 \cdot3^{28}[/tex]
[tex]\implies 3^{-16} \cdot 2^{10} \cdot \left(\dfrac{2^{-2}}{3^3}\right)^4 \cdot3^{28}[/tex]
Using exponent rule [tex]\left(\dfrac{a^b}{a^c}\right)^d=\left(\dfrac{a^{bd}}{a^{cd}}\right)[/tex]
[tex]\implies 3^{-16} \cdot 2^{10} \cdot \left(\dfrac{2^{(-2\times4)}}{3^{(3\times4)}}\right) \cdot3^{28}[/tex]
[tex]\implies 3^{-16} \cdot 2^{10} \cdot \left(\dfrac{2^{-8}}{3^{12}}\right) \cdot3^{28}[/tex]
Rewrite as one fraction:
[tex]\implies \dfrac{3^{-16} \cdot 2^{10} \cdot2^{-8}\cdot3^{28}}{3^{12}}[/tex]
Using exponent rule [tex]a^b \cdot a^c=a^{b+c}[/tex]
[tex]\implies \dfrac{3^{(-16+28)} \cdot 2^{(10-8)}}{3^{12}}[/tex]
[tex]\implies \dfrac{3^{12} \cdot 2^{2}}{3^{12}}[/tex]
Cancel the common factor [tex]3^{12}[/tex]
[tex]\implies 2^2[/tex]
[tex]\implies 4[/tex]
A park administrator wants to estimate the proportion of visitors who bring a dog with them to the park. She surveys the first 50 people entering the park one morning. Which sampling method best describes this scenario?
Answer:
Was the park administrator girl? I have never seen a Female park adminstrator especially one who is counting people who bring dogs.
well i think she should use a machine or ask the gaurd and give extra salary to him for counting.
HELLPPPP
The following spinner has four sections. There are equal sections for 1, 4, and 3. The section for 2
is twice as large as each of the other sections. The spinner has four sections as described in the problem. What is the probability of spinning the spinner and landing on 2?
Answer:
Step-by-step explanation:
Let the section size for section 1, section 4 and section 3 = x for each of them
Let the section size for Section 2 = 2x
Total size for the three = sections = 3x + 2x = 5x
P(2) = 2x/5x = 0.4 The xs cancel
Answer: P(2) = 0.4
How do i figure this out?
Answer:
Step-by-step explanation:
put the left hand numbers into your calculator, find the answers.
put the equations at the bottom in your calculator and figure out which is equal to which
1. fourth answer on the botton
2. first one
3. third one
4. second one
HELP PLEASE AND SHOW WORK!!!
Answer:
awnser is A
Step-by-step explanation:
Multiply all sides by 2 then add then up and you get 432.
clara’s gross monthly salary is $3,425
what is the maximum amount she can afford to borrow for a home mortgage ?
$138,096
$82,200
$41,100
$120,430
The maximum amount she can afford to borrow for a home mortgage is: $41,100.
Home mortgageAn employees who receive gross monthly salary will get 12months paychecks per year.
Using this formula
Maximum amount= Gross monthly salary× 12 paychecks
Let plug in the formula
Maximum amount=$3,425×12 months
Maximum amount=$41,100
Inconclusionhe maximum amount she can afford to borrow for a home mortgage is: $41,100.
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Mr. Bloss scored 16 out of 20 on his Knitting Instructor Qualification Exam. What percent of the test did he get wrong?
Answer:
20%, or 4 questions
Step-by-step explanation:
16 / 20 or 8 / 10 = 80%
What's left over?
100 - 80 = 20
20%
please help!!! WILL MARK BRAINLIEST
the voterturnout in 1996 was approximatley 9.6 x 10^7 in 2012 the voter turnout was 1.3 x 10^8 how many more people voted in 2012 then in 1996
3.4 * 10⁷ more people voted in 2012 than they voted in 1996.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given that the voter turnout in 1996 was approximately 9.6 x 10⁷ in 2012 the voter turnout was 1.3 x 10⁸, hence:
Difference in turn out = 1.3 x 10⁸ - 9.6 x 10⁷ = 3.4 * 10⁷
3.4 * 10⁷ more people voted in 2012 than they voted in 1996.
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Jimmy can run 7.5 miles in 30 min. If he keeps this constant rate, how many hours will it take him to run 150 miles?
Answer:
10 hours
Step-by-step explanation:
1. Create a chart.
miles - hours
7.5. - 0.5 (30 minutes = 0.5 hours)
150. - x (let's use a variable to represent number of hours Jimmy ran)
2. Cross multiply:
7.5(x) = 150(0.5)
7.5x. = 75
3. To isolate x, divide both sides of equation by 7.5
7.5x/7.5 = 75/7.5
4. 7.5 crosses out with itself on the left side of the equation.
5. 75/7.5 = 10
x = 10
Therefore, Jimmy ran 150 miles in ten hours.
What is X? Just need to know how to do it and the next questions should be easy.
THANKS!
Answer:
[tex]x=11[/tex]
Step-by-step explanation:
[tex]\frac{24}{3x-3} =\frac{44}{5x}[/tex]
[tex]\frac{8}{x-1} =\frac{44}{5x}[/tex]
[tex]44(x-1)=8(5x)[/tex]
[tex]44x-44=40x[/tex]
[tex](44-40)x=44[/tex]
[tex]4x=44[/tex]
[tex]x=11[/tex]
Hope this helps!
Arrange the following numbers in order from least to the greatest
9
9.1
9.2
[tex]\sqrt{83} = 9.11[/tex] (you can get testing different values of 9)
Thus the order from least to greatest
9, 9.1, [tex]\sqrt{83}[/tex] , 9.2
What does n=
Because my teacher got 459 and I got 359
Answer:
You're right, it is 359!
Let's break down the problem.
The equation is...
21 - 359 / 26 = 13
Therefore,
The missing number, n, is 359.
Did I do this problem right?
Answer:
It is right. But if I was you I would have skipped the 2nd and the 6th line.
I feel like they are unnecessary.
Step-by-step explanation:
You throw a ball straight up with a velocity of 40 meters per second. What is the ball's velocity after 3 seconds?
Answer:
120 meters
Step-by-step explanation:
40x3 because the ball went up with a velocity of 40 meters a second and it went for 3 seconds so 40+40+40=120 or 40x3=120 (if this is wrong I'm sorry)
Answer:
13.33
Step-by-step explanation:
40÷3=13.33 is gonna be your answer
A football team earns 6 points for a touchdown and 3 points for a field goal. In one game, a team scored a touchdown and some field goals. The total points the team scored is 18 points. Write an equation using the variable fthat can be used to find the number of field goals the team scored.
Answer:
6+3(f)=18
6+3f=18
3f=12
f=4
Step-by-step explanation:
A population of 30 swans halves every 10yr. Which graph represents the population growth?
Answer:
The second graph
Step-by-step explanation:
If the population halves every 10 years, the population at year 10 would be half as mush as year 0, and year 20 would have half as much as year 20, and so on, graph 2 is the only one with a decreasing slope.
Answer:
B
Step-by-step explanation:
I got it right on my test
2x +4 (3 - 2x) = 3(2x + 2)/6 + 4
from my math book
Answer:
x = 1
Step-by-step explanation:
2x +4 (3 - 2x) = 3(2x + 2)/6 + 4
2x+12-8x = (6x+6)/6 +4
-6x + 12 = x+1+4
12-5 = 7x
7x = 7
x=1
Hope this helps!
2x + 4(3-2x) = 3(2x+2)/6 +4
Break the brackets :
2x + 12 - 8x = (6x+6)/6 + 4
2x + 12 - 8x = x + 5
2x + 12 - 8x - (x+5) = 0
2x + 12 - 8x - x - 5 = 0
-7x + 7 = 0
-7x = -7
x = 1.
Hope it helps :)
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS
Answer:
A. 9 vertically and -3 horizontally
Explanation:
shifts 9 ↑ vertically upwards so positive.
shifts -3 ← horizontally towards left so negative.
note: vertically is up ↑ and bottom ↓ , horizontal is right → and left ←
Answer:
9 vertical and -3 horizontal
Step-by-step explanation:
So, lets take a coordinate from block 1. Choice: (-2, -7)
Lets take the coordinate from the same point on block 2. Choice: (-5,2)
Now lets find the difference.
The difference between x1 and x2 is the difference between -2 and -5, which is -3. Since to go from -2 to -5 you go down -3.
This is a horizontal translation of -3
The difference between y1 and y2 is the difference between -7 and 2, which is 9. Since to go from -7 to 2 you go up 9.
This is a vertical translation of 9
So the answer is:
9 vertical, -3 horizontal
Hope this helps! :3
Hey guys can any of you guys math geniuses help me out on this math question? 3 3/5 + 1/3=?
Answer:
[tex]\dfrac{59}{15}=3 \frac{14}{15}[/tex]
Step-by-step explanation:
Convert the mixed number into an improper fraction:
[tex]3 \frac35=\dfrac{3\times5+3}{5}=\dfrac{18}{5}[/tex]
Now convert fractions so that their denominators are the same:
[tex]\implies \dfrac{18}{5}+\dfrac13=\dfrac{18\times3}{5\times3}+\dfrac{1 \times5}{3 \times 5}=\dfrac{54}{15}+\dfrac{5}{15}[/tex]
As the denominators are now the same, we can simply add the numerators:
[tex]\implies \dfrac{54}{15}+\dfrac{5}{15}= \dfrac{54+5}{15}=\dfrac{59}{15}[/tex]
Now convert back into a mixed number (if required):
[tex]\implies \dfrac{59}{15}=3 \frac{14}{15}[/tex]
Answer:
3 14/15
Step-by-step explanation:
Separate the numbers between their round numbers and fractions: 3 and 3/5, 0 and 1/3.
The round number parts: 3 + 0 = 3
The fraction parts:
3/5 + 1/3
= 3*3/5*3 + 5/5*3
= 9/15 + 5/15
= (9 + 5)/15
= 14/15
Combining the two parts: 3 3/5 + 1/3
= 3 14/15
a solution to the system y = 2x 7 and x +y= 5? Why or why not
Answer:
given that, y=2×7
y=14
and
x+y=5
x+14=5
x=5-14
x=9
x not equal to 5
What value of x will make these two expression equivalent?
-3/7 and x/21
A X=-3 B x=7 Cx=9 Dx=-9
Answer:
D. x = -9
Step-by-step explanation:
We want -(3/7) = (x/21)
Cross multiply: 7x = - 63
x = - 9
Check:
Does (-9/21) = -(3/7)?
(-9/21) reduces to -(3/7) YES
5 to 7 and please solve with equations thx
Answer:
See attached image
Step-by-step explanation:
The starting point for an e=inequality will have either an empty of filled-in circle. When empty, it signifies that the exact point is NOT included. If the inequality is x < 2, for example, the line would begin at 2, but marked with an empty circle. If, however, the inequality is x =< 2, then the circle is filled in, signifying that the number 2 is included in the set.
What is the measure of the missing length? Round to the nearest tenth.
HELP PLEASE IREALY NEED HELP
Find the slope of the line.
Please help!
Answer: The slope is undefined.
Step-by-step explanation:
The slope of a line is (y2-y1)/(x2-x1) given two points (x1,y1) and (x2,y2).
We can plug in the coordinates given.
= (-3-2)/(-1-(-1))
= -5/0
That value is undefined beacuse you cannot divide a value by 0.
h(n)=n+2
g(n) = 2n + 1
Find h(n) − g(n)
[tex]h(n) - g(n) = (n+2)-(2n + 1) = n + 2 - 2n -1 = -n + 1[/tex]
Hope that helped!
[tex]\\ \rm\rightarrowtail h(n)-g(n)[/tex]
[tex]\\ \rm\rightarrowtail n+2-2n-1[/tex]
[tex]\\ \rm\rightarrowtail n-2n+2-1[/tex]
[tex]\\ \rm\rightarrowtail 1-n[/tex]
all of my faces are congruent.
I have 8 vertices
I am a 3D figure
what am I?
All the faces are the same and 8 vertices would make a cube.
Answer: cube
All of its faces are congruent, it has 8 vertices and it is a 3D figure, so it is a cube.
A cube is a three-dimensional geometric shape that meets the given criteria.
Let's break down the reasons why:
All Faces Congruent: In a cube, all six faces are congruent to each other.This means that each face has the same shape and size, and all angles within the cube are right angles (90 degrees).
8 Vertices: A cube has 8 vertices (corners).Each vertex is the point where three edges of the cube meet.
3D Figure: A cube is a three-dimensional object.It has length, width, and height, making it a 3D geometric figure.
A cube is a special type of rectangular prism where all sides are equal in length.
Its symmetry and regularity in terms of congruent faces, edges, and vertices make it a fundamental and easily recognizable three-dimensional shape.
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Evan is using the dot plots to compare two sets of data. Both plots use the same number line. What is the difference between the mean of each data set?
Two number lines have arrows on both ends and entries labeled 0 to 30. Each has x marks above some numbers. The first has 2 x marks above 5, 1 for 6, 1 for 8, 2 for 10, 1 for 14, 1 for 15, 1 for 17, and 1 for 10. The second has 1 x for 3, 1 for 5, 1 for 7, 1 for 10, 1 for 15, 1 for 18, 1 for 10, 1 for 22, and 2 for 25.
Answer:
4
Step-by-step explanation:
First you add all of the numbers one the first line and divide it by that amount of dots there are. In our case, 10.
Do the same thing to the bottom and then find the difference.
The altitude of the base of a cloud
formation is called the ceiling. To find the ceiling
one night, a meteorologist directed a spotlight
vertically at the clouds. Using a theodolite placed
83 meters from the spotlight and 1. 5 meters above
the ground, he found the angle of elevation to be
62. 7º. How high was the ceiling?
The height of the ceiling is 162.31 meters
The situation will form a right angle triangle.
Right angle triangle:Right triangle has one of its angles as 90 degree. Therefore, the sides can be found using trigonometric ratios
The triangle formed, the theodolite distance from the spotlight is the adjacent side. Therefore,
tan 62.7 = opposite / adjacent
tan 62.7 = x / 83
cross multiply
x = 83 × tan 62.7
x = 160.809554025 m
Therefore, the height of the ceiling form the ground is as follows:
160.809554025 + 1.5 = 162.309554025 mlearn more on right angle triangle here; https://brainly.com/question/13481976
A force of 2000N pulls a load at angle of 60 degrees with the horizontal. calculate the coefficient of static friction
Answer:
√3
Step-by-step explanation:
From the formula used in calculating Friction, we have:
Frictional Force = coefficient of Friction × Reaction
i.e Fr = μ × R
Resolving Frictional Force and Reaction of a body moving with on an Inclined plane,
Frictional Force = mass × g × sin a
where a = to the angle given
Reaction = mass × g × cos a
Therefore,
mass × g × sin a = μ × mass × g × cos a
mass and g cancels out on both sides.
Therefore,
sin a = μ × cos a
make "μ" subject.
μ = sin a/cos a
(recall: tan a = sin a /cos a)
μ = tan a
recall a = angle given = 60°
μ = tan 60°
μ = √3
or simply recall that
μ = tan a
μ = tan 60°
μ = √3