Nixon has a square piece of wrapping paper that has a total area of 200 square inches. Which point on the number line below represents the measurement closest to the side length of the piece of wrapping paper
Answers
Answer:
x = 14 inches
Step-by-step explanation:
The area of a square piece of paper is 200 square inches.
We need to find the point on the number line below represents the measurement closest to the side length of the piece of wrapping paper. It is shown in the attached figure.
Area of a square = x², x is the side length
[tex]x=\sqrt{A} \\\\x=\sqrt{200} \\\\x=14.142\ \text{inches}[/tex]
or
x = 14 inches
So, the side length of the square is 14 inches. It is shown in point A.
Related Questions
find the slope
13. y=-x+0
14. y=(7/14)x+2
15. y=(2/4)x+1
16. y=3x-4
Answers
13) -1
14) 7/14
15) 2/4 or 1/2
16) 3
What is the answer to the following question?
1.8
2.2
3.3
4.12
?
Answers
Answer:
1.8
Step-by-step explanation:
1.8
Inequality to Verbal
-3 < x < 7
A. The domain is greater than or equal to -3 and less than
or equal to 7.
B. The range is greater than -3 and less than 7.
C. The domain is greater than -3 and less than 7.
D. The range is greater than or equal to -3 and less than or
equal to 7.
Answers
Answer:
C. The domain is greater than -3 and less than 7.
Step-by-step explanation:
Just like the other one
x is domain
< = less than
≤ = less than or equal to
Answer:
c
Step-by-step explanation:
should b. cause most true usagw 'the domain'
good luck
(2,-4), (x,\ y), A, and B all lie on the line. Find an equation relating x and y.
Answers
Answer:
I can't see the picture, sorry. :(
Step-by-step explanation:
Answer:
y=3/4x-5.5
Step-by-step explanation:
y=mx+b
B=starting point 5.5
x= variable
M=slope 3/4
Four identical right triangles whose sides measure 5x, 12x, and 13x are arranged to form a small square inside a large square, as shown. The perimeter of the large square is 17 units. What is the perimeter of the small square? Explain.
Answers
Answer:
The perimeter of the small square is approximately 9.154 units
Step-by-step explanation:
The given parameters are;
The sides of the four identical right triangles = 5·x, 12·x, and 13·x,
The perimeter of the large square = 17 units
Therefore, we have;
The hypotenuse side of the right triangles = The longest side = 13·x
The sides of the large square are formed by the hypotenuse sides of the right triangle
Therefore, the perimeter of the large square = 4 × 13·x = 52·x = 17 units
x = 17/52 ≈ 0.3269
x ≈ 0.3269 units
The sides of the small square = The difference between the longer and the shorter of the two legs = 12·x - 5·x = 7·x
∴ The sides of the small square = 7·x = (7 × 0.3269) units ≈ 2.2885 units
The perimeter of the small square = 4 × The sides of the small square
The perimeter of the small square ≈ (4 × 2.2885) units ≈ 9.154 units
The perimeter of the small square ≈ 9.154 units.
1. The slope of the line below is 2. Write the equation of the line in point-slope form using the coordinates of the
labeled point.
Answers
Answer:
y=2x
Step-by-step explanation:
What is the answer to this question
Answers
Answer:
C
Step-by-step explanation:
Lines that are parallel AND have different y-intercepts will never intersect each other, therefore will have no solutions.
The only correct choice is C as the lines are parallel and have different y-intercepts which means they'll never intersect each other. All the other choices will have their lines intersect each other at some point.
1 point
1) Taylor and her family took a road trip. She explains that the equation y =
60x describes the proportional relationship between the number of miles,
y, her family traveled, to the number of hours, x, the trip took. Which
statement represents the same proportional relationship? *
Taylor's family traveled 50 miles in 1 hour.
Taylor's family traveled 120 miles in 2 hours.
Taylor's family traveled 180 miles in 4 hours.
Taylor's family traveled 200 miles in 5 hours.
Answers
Answer:
120 miles in 2 hours
Step-by-step explanation:
120 = 60(2)
Can you solve?
|x+5|=12
What is the answer please
Answers
x + 5 = 12
x = 7
X + 5 = -12
x = -17
The answer is 7 and -17
how you to transform a polynomial equation in standard form? state some steps
Answers
Answer:
A very common way to transform a polynomial equation in standard form is usually by writing a polynomial in its standard form.
This is mainly achieved by checking the degree of the terms involved and writing them in the order of degree which should follow the pattern of from highest to lowest, left to right.
What statement is true about DCB and ACF
Answers
both angle are equal
DCB is equals to FCA
Please help me find the missing length
Answers
Answer:
The tower is 48 ft tall.
Step-by-step explanation:
Refer to the figure attached.
Triangle ACD is similar to triangle BCE.
This means the proportion to some sides is the same, for example:
[tex]\displaystyle \frac{CE}{CD}=\frac{BE}{H}[/tex]
Substituting the values:
[tex]\displaystyle \frac{8}{64}=\frac{6}{H}[/tex]
Multiplying by 64H:
[tex]8H=64*6[/tex]
Dividing by 8:
[tex]H=64*6/8=48[/tex]
The tower is 48 ft tall.
how many solutions are there to this problem
|m-2|=2
Answers
Answer:
2 solutions
-4 and 4 are possible answers
Step-by-step explanation:
Colton bounces a ball 3.268 feet infront of his feet. The path of the ball from the time it hits the ground until it lands on the floor is represented by
Answers
here is the complete and correct question. Colton bounces a ball 3.268 feet in front of his feet. The path of
the ball from the time it hits the ground until it lands on the floor is represented by
f(x) =-4(x - 5)2 + 12
Assuming that Colton's feet are located at the origin, (0, 0), what is the maximum height of the ball (in feet)?
Answer:
12ft
step by step explanation:
This equation has been written in vertex form, and it has its vertex at (5, 12). Because the scale factor is not positive, it has a negative value, the graph for the question is going to open downward, such that the vertex,
that is the maximum height is 12 ft.
we have The equation of a parabola with vertex (h, k) to be
f(x) = a(x -h)² + k
when put in Comparison to your question function, we get that
a=-4
h=5
k=12
so the vertex (h, k) = (5, 12).
Using the similar triangles, which equation could be used to find the slope of line AB?
A)slope=p/q
B)slope=q/p
C)slope=n/m
D)slope=q/n
Answers
Answer:
A) slope = p/q
Step-by-step explanation:
Slope of any given can be found using the formula, [tex] \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1} [/tex].
In this case, using similar triangles, the rise over the run of any of the given similar triangles will give us the slope of line AB.
This means, slope of line AB would be:
[tex] \frac{rise}{run} = \frac{m}{n} = \frac{p}{q}
[/tex].
✅Therefore, slope of line AB = p/q
What does (f+g)x mean?
Answers
Answer:
(f + g)(x) means f(x) + g(x)
General Formulas and Concepts:
Alg I
Function NotationCombining like termsAlg II
Composite FunctionsStep-by-step explanation:
(f + g)(x) is the number form of "f plus g of x", meaning that we add the functions f and g together respect to x.
Another way to write (f + g)(x) is f(x) + g(x), which is the number form of "f of x plus g of x", still meaning that we are adding the 2 functions together.
solve the equation
1.2²(4a-8)=16
Answers
Answer:
I would love to help you because you are my favorite follower. But I do not know the answer. Sorry I feel very guilty
Answer:
Step-by-step explanation:
Can someone please help me it’s due in a few minutes.
Answers
Answer:
150
Step-by-step explanation:
go submit it
Anyone know how to do this, I’m lost!
Answers
Total angle degree for a parallelogram is 360 degrees
The angles added up is 6x
So 6x=360
X=60
The 4 angles inside EVERY 4-sided figure ALWAYS add up to 360 degrees.
Now you have been found !
Help me plzzzzzzz I really need help
Answers
Answer:
41
Step-by-step explanation:
y = 4x + 21
y = 4 x 5 + 21
y = 20 + 21
y = 41
Answer:
The answer is 41
y=4x+21
Step-by-step explanation:
y=4x+21
y=4(5)+21
y=20+21
y=41
Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line through the points rises from left to right, falls from left to right, is horizontal, or is vertical. (3.-5) and (2-2)
А. -3, falls
В. 1/3, rises
C. 3, rises.
D. -1/3, falls
Answers
Answer:
Slope of line having points (3,-5) and (2,-2) is 3 and since the slope is positive do it rises. Option C is correct option.
Step-by-step explanation:
The formula calculate to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given points (3,-5) and (2,-2) so,
[tex]x_1=3, y_1=-5, x_2=2, y_2=-2[/tex]
Putting values in formula and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{2-3}\\Slope=\frac{-2+5}{1}\\Slope=3[/tex]
So, Slope of line having points (3,-5) and (2,-2) is 3 and since the slope is positive do it rises. Option C is correct option.
A random sample of 400 voters in a certain city are asked if they favor an additional 4% gasoline tax to provide badly needed revenues for street repairs. If more than 220 but fewer than 260 favor the sales tax, we shall conclude that 60% of the voters are for it.a.) Find the probability of committing a type I error if 60% of the voters favor the increased tax.b.) What is the probability of committing a type II error using this test procedure if actually 48% of the voters are in favor of the additional gasoline tax?
Answers
Answer:
A) α = 0.04136
B) β = 0.00256
Step-by-step explanation:
We are given;
Sample size; n = 400
Proportion; p = 60% = 0.6
Formula for mean is;
μ = np
μ = 400 × 0.6 = 240
Standard deviation is given by;
σ = √npq
Where q = 1 - p = 1 - 0.6 = 0.4
σ = √(400 × 0.6 × 0.4)
σ = √96
σ = 9.8
A) our null hypothesis is at p = 0.6
Probability of making a type I error means we reject the null hypothesis when it is true.
This can be expressed in reference to the question as;
α = P(x < 220) + P(x > 260) all at p = 0.6
Now,
P(x < 220) = z = (x¯ - μ)/σ = (220 - 240)/9.8 = -2.04
Also;
P(x > 260) = z = (260 - 240)/9.8 = 2.04
Now, from z-distribution table probability of a z-score of -2.04 is 0.02068.
Also, probability of z-score of 2.04 is (1 - P(z < 2.04) = 1 - 0.97932 = 0.02068
Thus;
α = 0.02068 + 0.02068
α = 0.04136
B) Type II error occurs when we fail to reject the null hypothesis even though it's false.
In this case our alternative hypothesis is at p = 48% = 0.48
Thus;
μ = np
μ = 400 × 0.48 = 192
Standard deviation is given by;
σ = √npq
Where q = 1 - p = 1 - 0.48 = 0.52
σ = √(400 × 0.48 × 0.52)
σ = √99.84
σ = 9.992
Type II error would be given by;
β = [((x1¯ - μ)/σ) < z > ((x2¯ - μ)/σ)]
β = [((220 - 192)/9.992) < z > ((260 - 192)/9.992)]
β = (2.8 < z > 6.81)
Rearranging this gives us;
β = P(z < 6.81) - P(z < 2.8)
From z-distribution tables, we have;
β = 1 - 0.99744
β = 0.00256
In this exercise, we have to calculate the gasoline rates, and the answer will be:
A)[tex]\alpha= 0.04136[/tex]
B)[tex]\beta= 0.00256[/tex]
We are given that the sample size; n = 400, proportion; p = 60% = 0.6 so the formula for mean is;
[tex]\mu= np\\\mu=(400)(0.6)= 240[/tex]
Standard deviation is given by;
[tex]\sigma= \sqrt{npq}[/tex]
Where:
[tex]q = 1 \\p= 0.6\\q-p=0.4[/tex]
[tex]\sigma= \sqrt{(400)(0.6)(0.4)} \\=\sqrt{96} = 9.8[/tex]
A)Our null hypothesis is at p = 0.6. Probability of making a type I error means we reject the null hypothesis when it is true. This can be expressed in reference to the question as:
[tex]\alpha= P(x<220)+P(x>260)[/tex]
Now,
[tex]P(x < 220) = z = (x^-- \mu)/\sigma = (220 - 240)/9.8 = -2.04\\P(x > 260) = z = (260 - 240)/9.8 = 2.04[/tex]
Now, from z-distribution table probability of a z-score of -2.04 is 0.02068. Also, probability of z-score of 2.04 is:
[tex](1 - P(z < 2.04) = 1 - 0.97932 = 0.02068[/tex]
Thus;
[tex]\alpha= 0.02068+0.02068\\\alpha= 0.04136[/tex]
B) Type II error occurs when we fail to reject the null hypothesis even though it's false. In this case our alternative hypothesis is at p = 48% = 0.48. Thus:
[tex]\mu= np\\\mu= (400)(0.48)=192[/tex]
Standard deviation is given by;
[tex]\sigma= \sqrt{npq} \\=\sqrt{(400)(0.48)(0.52)} = 9.992[/tex]
Type II error would be given by:
[tex]\beta= [((x^{-1} - \mu)/\sigma) < z > ((x^{-2} - \mu)/\sigma)]\\= [((220 - 192)/9.992) < z > ((260 - 192)/9.992)]\\= \beta = (2.8 < z > 6.81)\\[/tex]
Rearranging this gives us:
[tex]\beta = P(z < 6.81) - P(z < 2.8)\\= 0.00256[/tex]
See more about statistics at : brainly.com/question/7412334
Estimate by rounding the largest number to hundreds and then divide.
869 ÷ 6 is approximately
Answers
Answer:
150
Step-by-step explanation:
Round: 869 → 900900 ÷ 6 = 150I hope this helps!
Find the slope pls help !!!
Answers
therefore from dot to dot on the graph, it moves down 3 and over 5.
change in y = 3
change in x = 5
Answer: 3/5
This table shows a linear relationship.
x 6 7 8 9 10
y 17 19 21 23 25
Based on the information in this table, which equation can be used to model the relationship between x and y?
y = 2x + 5
y = 5x
y = 2x
y = 5x + 2
Answers
Answer: I think it's A. But I'm not entirely sure,
Step-by-step explanation:
Answer:
its y=2x + 5
explanation:
I took the test and got it right
Cody rented a bicycle from Cycle Factory for $65. How many hours did Cody rent the bike for if their cost is $16 to rent the bike plus $7 per hour?
Answers
Answer: Cody rented the bike for 7 hours.
Step-by-step explanation:
$65-$16=$49
$49/$7=7 hours
There are 500 students in the 8th grade. Three percent were absent Friday. How many 8th graders were NOT absent Friday?
Answers
Answer:
485
Step-by-step explanation:
500/100=5
5*3=15
500-15=485
Hope this helps;)
Answer:
485
Step-by-step explanation:
How do you name the median of this triangle?
Answers
Answer:
F
Step-by-step explanation:
The median is always the letter in the middle
Why do people pretend they have depression, Depression is not something to joke about
Answers
Answer:
they want more attention than they already have,or they think its funny
Step-by-step explanation:
Answer:
It seems like most people joke about depression for attention.
Step-by-step explanation:
Find m∠BOC in the figure if m∠AOC = 77°.
Question 18 options:
A)
71°
B)
18°
C)
65°
D)
59°
Answers
Answer:
Answer of this is... D... 59
According to the figure the value of ∠BOC is 59. So, the correct option is option D.
Given:
∠AOC = 77°
According to the figure ∠AOB = 3X and ∠BOC = 7X + 17
∠AOC = ∠AOB + ∠BOC.
Plugging the values in this equation.
Then we get,
77 = 3X + 7X + 17
Subtract 17 on both sides.
77 - 17 = 3X + 7X + 17 - 17
60 = 3X + 7X
After simplify we get,
60 = 10x.
X = 6
To find the ∠BOC.
∠BOC = 7X + 17.
Plugging the value of X in this equation.
∠BOC = 7 * 6 + 17
∠BOC = 42 + 17
∠BOC = 59.
Therefore, the value of ∠BOC is 59.
Learn more about Angle here:
https://brainly.com/question/9409171
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