Answer:
To find the resultant force of an object, we need to add up all the forces acting on it. The resultant force is the overall force that the object experiences, taking into account all the individual forces.
In this case, we are given four objects, A, B, C, and D, and the forces acting on them. To find the object with the largest resultant force, we need to calculate the resultant force for each object by adding up all the forces acting on it.
For object A, the forces acting on it are: 10 N, 10 N, and 10 N, for a total of 10 N + 10 N + 10 N = 30 N.
For object B, the forces acting on it are: 5 N, 5 N, 5 N, and 5 N, for a total of 5 N + 5 N + 5 N + 5 N = 20 N.
For object C, the forces acting on it are: 30 N and -5 N, for a total of 30 N + (-5 N) = 25 N.
For object D, the forces acting on it are: 10 N and -5 N, for a total of 10 N + (-5 N) = 5 N.
Therefore, the object with the largest resultant force is object C, with a resultant force of 25 N.
The makers of the movie Harry Potter need to
create Hogwarts. The maker created a scale
drawing of Hogwarts before he began building
the model. The length of the drawing for
Hogwarts is 13 inches. The length of the actual
model is 78 feet. What scale did the maker use
to create the scale drawing of Hogwarts?
A.
B.
1 inch represents 13 feet
6 inch represents 13 feet
1 inch represents 78 feet
1 inch represents 6 feet
Answer:
78 ft x 1 in/ 13 in = 6 ft
1 inch represent 6 ft
please help me i really need help please help me
Answer:
The total surface is 48 ft
Step-by-step explanation:
The sample proportion of Americans who are dissatisfied with education in kindergarten through grade 12 is 0.55 with sample of size 1000. We are interested in testing at the 5% significance level, if this sample provides evidence that the proportion of Americans who are dissatisfied with education in kindergarten through grade 12 differs significantly from 50%.
Required:
What is the p-value?
Answer:
p-value = 0,000755
We reject H₀. We can support that Americans who are dissatisfied with education in kindergarten throug grade 12 differs significantly from 50%
Step-by-step explanation:
Sample proportion : p₁ = 0,55
Sample size n = 1000
q₁ = 1 - p₁ q₁ = 1 - 0,55 q₁ = 0,45
Hypothesis Test:
Null Hypothesis H₀ p₁ = 0,5 ( 50 % )
Alternative Hypothesis Hₐ p₁ ≠ 0,5
Alternative hypothesis indicates that we have to develop a two-tail test
as n = 1000
p₁*n = 0,55 * 1000 = 550 q₁*n = 0,45*1000 = 450
Both products are bigger than 5. We can use the approximation of binomial distribution to normal distribution.
Significance level α = 5% α = 0,05 and α/2 = 0,025
z(s) = ( p₁ - 0,5 ) / √p₁*q₁/1000
z(s) = 0,05 * 31,62 / 0,4974
z(s) = 3,1785
From z-table we find p-value = 0,000755
Therefore p-value < 0,025
We are in the rejection region, we reject H₀
2. Construct Arguments Explain why -7 has a
greater absolute value than the absolute value
of 6.
5.-9
7.1-5
9. --
11.-1
Answer:
See below
Step-by-step explanation:
Absolute value is the positive distance from 0, so |-7| = 7 because -7 is 7 from 0, whereas 6 is 6 away from 0. Because 7>6, then -7 has a greater absolute value than 6
20 x 321-15 x 141
What is the value of the expression?
Answer:
4305
Step-by-step explanation:
The data reflects the amount of time spent on homework (x), paired with a corresponding test grade (y).
How can the y-intercept of the line be interpreted?
The minimum time spent on homework is approximately 72 hours.
The average time spent on homework is approximately 7.9 hours.
If no time is spent on homework, the test grade is approximately 72.
If no time is spent on homework, the test grade is approximately 7.9.
Answer:
If no time is spent on homework, the test grade is approximately 72.
Step-by-step explanation:
The y-intercept of the line can be interpreted if no time is spent on homework, the test grade is approximately 72.
What is the y intercept?
A graph can be described as a pictorial representation of data. A graph is made up of a x-axis and a y-axis. The y-intercept is the point where the line crosses the y-axis. The y-intercept is the value of the data set when x is zero.
If x is zero, y = 0 + 72
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Deborah is x year old and Sarah is y years old. The sum of their ages are 58. If Deborah is 4 years young then Sarah. Find the ages of both woman
Answer:
Hello! answer:
Deborah is 27
Sarah is 31
Step-by-step explanation:
31 - 27 = 4 31 + 27 = 58 therefore x = 27 and y = 31 Hope that helps!
Age of Sarah is 31 and age of Deborah is 27.
What is proportionality?If every pair of data values is related in the same way, by multiplying by a factor, then the relationship is proportional. A proportionate relationship can be identified by looking at data, an equation, or a graph.
Given, Deborah is x years old and Sarah is y years old. The sum of their ages is 58. If Deborah is 4 years young then Sarah is. Hence,
Deborah's age + Sarah's age = 48
x + y = 48
Also given, Sarah's age = Debora's age + 4
y = x +4
comparing both equations.
x = 27 and y = 31
Therefore, the age of Deborah is 27, and age of Sarah is 31.
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Need help ASAP! See images below
Answer and Step-by-step explanation:
The kite area formula:
A = [tex]\frac{pq}{2}[/tex]
P = Line RP
Q = Line QS
A = [tex]\frac{38 + 16}{2}[/tex] = [tex]\frac{54}{2}[/tex] = 27
27 is the answer.
#teamtrees #PAW (Plant And Water)
There was 5/6 of the pizza left,and Malachi ate 1/2 of that.What fraction of the pizza did Malachi eat.
Answer:
She ate 1/10 of the pizza.
Hope this helps!!
Ramon and 2 of his friends will run a relay race. The length of the race is 1/3 mile. If each person runs the same distance, how far will
Ramon run?
Answer:
Ramon will run 1/9 of a mile.
Step-by-step explanation:
The relay race is 1/3 of a mile and there are three of them in his relay squad, himself and his two friends.
If three of them finish each sector and each sector is the same, that means that each of the members will run a third of that distance.
[tex]\frac{1/3}{3}\\=\frac{1}{3} (\frac{1}{3} )\\=\frac{1}{3(3)}\\=\frac{1}{9}[/tex]
PLS HELP!! Thank you so much
Perimeter stuff
Answer:
Perimeter = 9x + 6
Step-by-step explanation:
Perimeter = x+14 + x-1 + x+5 + 3x + 2x-10 + x-2
Perimeter = 9x + 14 + 5 - 1 - 10 - 2
Perimeter = 9x + 19 - 13
Perimeter = 9x + 6
can someone please help will give brainliest Links will be banned
Answer:
Starting is 10 going up by 5x
Step-by-step explanation:
When you look at a graph there is a y and x axis's. 10 is on the y axis and its going up by 5x.
Find the distance between the two points.
✓ [?]
(-1,-2)
(3,-1)
Enter the number that
goes beneath the
radical symbol.
Answer:
d = √17, meaning that the number that goes beneath the radical symbol is 17.
Step-by-step explanation:
Refresh if you are unable to see below.
[tex]\text{Use the distance formula.}\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\text{Substitute the points.}\\d=\sqrt{(3-(-1))^2+((-1)-(-2))^2}\\\text{Subtract.}\\d=\sqrt{(4)^2+(1)^2}\\\text{Evaluate the powers of 2.}\\d=\sqrt{16+1}\\\text{Add.}\\d=\sqrt{17}[/tex]
I eh need the Answer to this please i am timed!!
Answer:
pro tip: crop your screen before you post it....
I think it's B
I did this 2 years ago in middle school
Estimate a 15% tip on a dinner bill of $49.35 by first rounding the bill amount to the nearest ten dollars.
9514 1404 393
Answer:
$7.50
Step-by-step explanation:
Rounded to the nearest $10, the $49.35 bill becomes $50.
We can find 10% of that amount by moving the decimal point to the left. 10% of $50 is $5.00.
Then 5% of $50 is half of 10%, so is $5/2 = $2.50.
The estimated tip of 15% is the sum of 10% and 5% of the bill, so is ...
15%($50) = 10%($50) +5%($50) = $5.00 +2.50 = $7.50
The estimated 15% tip is $7.50.
A student is graduating from college in 12 months but will need a loan in the amount of $10,958 for the last two semester. The student may receive either an unsubsidized Stafford Loan or a PLUS Loan. The terms of each loan are:
Unsubsidized Stafford Loan: annual interest rate of 3.85%, compounded monthly, and a grace period of six months from time of graduation
PLUS loan: annual interest rate of 4.15%, compounded monthly, with a balance of $11,421.51 at the time of repayment
Which loan will have a higher balance, and by how much at the time of repayment?
Answer:
To determine which loan will have a higher balance at the time of repayment, we need to calculate the balance of each loan after the interest has been compounded over the repayment period.
The unsubsidized Stafford Loan has an annual interest rate of 3.85% and a grace period of six months from the time of graduation. This means that the loan will accrue interest for a total of 12 months - 6 months = 6 months.
The balance of the unsubsidized Stafford Loan at the time of repayment can be calculated using the following formula:
Balance = Principal * (1 + Interest rate / Number of compounding periods per year)^(Number of compounding periods)
Plugging in the given values, we have:
Balance = $10,958 * (1 + 0.0385 / 12)^(6) = $10,958 * (1.003125)^(6) = $11,283.16
The PLUS loan has an annual interest rate of 4.15% and a balance of $11,421.51 at the time of repayment.
The balance of the PLUS loan at the time of repayment can be calculated using the same formula:
Balance = $11,421.51 * (1 + 0.0415 / 12)^(6) = $11,421.51 * (1.003479)^(6) = $11,973.54
Therefore, the PLUS loan will have a higher balance at the time of repayment, by $11,973.54 - $11,283.16 = $690.38.
Step-by-step explanation:
A kite is flying 24 ft off the ground. Its line is pulled taut and casts a 7-ft shadow. Find the length of the line. If necessary, round your answer to the nearest tenth.
The side lengths are;
tan x = e/f
cos x = e/d
sin x = f/d
What is a right angled triangle?We know that a right angled triangle is the kind of triangle that one of the sides of the triangle would be 90 degrees.
There are some ratios that are associated with the right angled triangle and we call them the trigonometric ratios. These include the sine the cosine and the tangent. All of these ratios does depend on the lengths of the sides of the right angled triangle.
The sides of the right angled triangle are the opposite, the adjacent and the hypotenuse and these can be obtained based on the relative position of the angle.
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Emily is single and has earned both qualified and nonqualified dividends this year. Her taxable income is $125,000. Using this
information and the tables provided, determine how much tax Emily will pay on each type of dividend.
Type the correct answer in each box. Use numerals instead of words.
Single Taxpayers: Income Brackets
Tax Rate
10%
12%
22%
24%
32%
35%
37%
Income Bracket
O to 9,525
9,526 to 38,700
38,701 to 82.500
82,501 to 157.500
157.501 to 200.000
200,001 to 500.000
> 500,000
Single Taxpayers: Qualified Dividends
and Long-Term Capital Gains
Tax Rate
Income Bracket
0%
15%
20%
The tax rate on Emily's nonqualified dividends is
The tax rate on Emily's qualified dividends is
0 to 38.600
38,601 to 425,800
> 425,800
96. Her taxes on $500 in ordinary dividends will equal
96. Her taxes on $2,000 in qualified dividends will equal
On solving the provided question, we can say that - the value of the percentage = 1/10; 12/100
What is percentage?
A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
10%; 12%; 22% and 24%
1/10; 12/100; 11/50 and 6/25
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find -2/6 + (5/6) model the expression on the number line
The final point on the number line will be at 2/3 from 0 point, which represents the value of the expression -2/6 + (5/6).
Modelling -2/6 + (5/6 on the number lineTo correctly model the expression -2/6 + (5/6) on a number line, we can use the following steps:
Start at 0 on the number line.Move to the left by 1/3. This represents the value of -2/6 which is equivalent to -1/3.Move to the right by 5/6. This represents the value of 5/6.The final point on the number line will be 2/3 to the right of the point (-1/3) which we reached in step 2, this represents the sum of -2/6 and 5/6, which is the final result.So to model the expression -2/6 + (5/6) on a number line, we start at 0 and move 1/3 to the left, to represent -2/6, and then move 5/6 to the right to represent 5/6. The final point on the number line will be at 2/3 from 0 point, which represents the value of the expression -2/6 + (5/6).
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Which expression is equivalent to 4(x + 2)?
12x
6x
4x + 2
4x + 8
Answer:
4x +2
Step-by-step explanation:
4( x + 2)
= 4*x +4*2
= 4x +2
How many total lines of symmetry may be found in the image?
O 16
8
12
4
There are total 12 lines of symmetry may be found in the image.
We have to given that;
A image is shown in figure for find the lines of symmetry .
Since, We know that;
Exactly dividing a form in half, a line of symmetry exists. This indicates that the form would fold perfectly in half if you did so along the line.
Hence, By definition of line of symmetry we get;
There are total 12 lines of symmetry may be found in the image.
Thus, The correct answer is,
⇒ 12 line of symmetry
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Pls help Whats the equation?
Answer: y = -5x + 6
Step-by-step explanation:
First, we need to find the slope, which would be m in the equation. To find m, we can use the formula called "rise over run". Here's the formula: [tex]m=\frac{y2-y1}{x2-x1}[/tex]
So, to use this formula, you pick two points from the line that you're given and solve for m.
Let's use the points (1,1) and (0,6). x1 would be 1, x2 would be 0, y1 would be 1, y2 would be 6
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{6-1}{0-1}[/tex]
[tex]m=\frac{5}{-1}[/tex]
[tex]m=-5[/tex] So, the slope is -5
Then, we need to find the y intercept, which would be b in the formula.
We can see that the point where the line meets the y axis is at (0.6), so the y intercept would be 6.
Now let's put everything together:
y = mx+b
y = -5x + 6
need help asappppppp
Plz help I will give brainiest
Answer:
50% for all of em
Step-by-step explanation:
Find the surface area of the composite figure,
5 cm
10 cm
10 cm
8 cm
4 cm
4 cm
5 cm
12 cm
The surface area of the composite figure is 416 square cm because the composite figure is made up of two figures.
What is a rectangular prism?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape. It is also called a cuboid.
We have a composite figure shown in the picture.
As we can see in the picture the composite figure is made up of two figures.
The first one is a rectangular prism
Second one is a triangular prism.
The surface area of the composite figure:
= area of the two triangle shapes + area of the two rectangles in triangular prism + surface area of the rectangular prism - (12x5)
= 2(1/2)12x10 + 2(10x5) + 2(4x5 + 12x5 + 12x4) - 12x5
= 120 + 2(50) + 2(20 + 60 + 48) - 60
= 120 + 100 + 2(128) - 60
= 120 + 100 + 256 - 60
= 416 square cm
Thus, the surface area of the composite figure is 416 square cm because the composite figure is made up of two figures.
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Eastern Aviation Equipment pays Donald Simmons a $1760 monthly salary plus a 12% commission on merchandise he sells each month. Assume Donald's sales were $90,800 for last month. Calculate the following amounts:
1. Amount of Commission:
2. Gross Pay:
The equation that represent the gross pay is y = 0.12x + 1760. The commission was $10896 and gross pay was $12656
What is an equation?An equation consists of numbers and variables linked together by mathematical operations to form an expression.
A linear equation is in the form:
y = mx + b
Where m is the rate of change and b is the initial value
Let y represent the gross pay for x total sales.
Donald Simmons a $1760 monthly salary plus a 12% commission on merchandise he sells each month, hence:
y = 1760 + 12% of x
y = 0.12x + 1760
Donald's sales were $90,800 for last month. Hence:
a) Commission = 0.12 * $90800 = $10896
b) Gross pay:
y = 10896 + 1760 = $12656
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Can y’all help me on question 4?!
Answer:
D
Step-by-step explanation:
Frank is at point G: (-6,-1)
Jimmy is at point B: (4,1)
find the mean in the picture
Ayuda porfa doy corona
3/4 > 1/5
6/9 > 2/5
6/7 > 3/10
2/11 < 4/9
Answer:
3/4 > 1/5
6/9 > 2/5
6/7 > 3/10
2/11 < 4/9
Step-by-step explanation:
Manera facil de comparar fracciones:.
3/4 1/5
Multiplica el denominador (numero abajo) de cada fraccion por el numerador de la otra fraccion y escribe el producto arriba del numerador.
El numero mas grande esta arriba de la fraccion mas grande.
5 x 3 = 15 arriba de 3/5
4 x 1 = 4 arriba de 1/5
Como 15 > 4, 3/4 > 1/5
30 18
6/9 2/5
6/9 > 2/5
60 21
6/7 3/10
6/7 > 3/10
18 44
2/11 4/9
2/11 < 4/9
3/4 of a cup of sugar is needed to make 3 1/3 batches of banana bread.How much is needed to make 1 batch?
Answer:9/40
Step-by-step explanation:
3/4=10/3x
3/4*3/10=x
9/40=x