{y:y is an integer AND y>10} is a set of integers that are greater than 10. Some examples of elements that would be included in this set are 11, 12, 13, 14, and so on.
What is the area, measured in square centimeters, of the triangle below? Do
not include units in your answer.
Answer here
Answer:
The area of this triangle is (1/2)(9)(8) = 36.
What is the surface area of this triangular prism?
Answer:
Hi, Jordan here! :D
Step-by-step explanation:
A triangular prism is a prism that has two congruent triangles as its bases connected by three rectangular lateral faces. The surface area of the triangular prism is the sum total of the areas of its bases and its lateral faces. Formula to find the surface area of a triangular prism. The Surface Area = 2 B + p h.
I hope this helps, let me know if it's wrong :D
Find the common difference of the sequence 4, 12, 20, ....
8
In this pattern, we have 4 12 then 20.
We can see that the difference 4 and 12 is 8.
Since the difference between 12 and 20 is also 8, the common difference of the sequence is 8.
Find an expression which represents the difference when (4x – 2y) is subtracted
from (4x – 5y) in simplest terms.
Answer:
-3y
Step-by-step explanation:
"(4x – 2y) subtracted from (4x – 5y)"
(4x – 5y) - (4x – 2y) =
Drop the first set of parentheses since it is unnecessary.
= 4x – 5y - (4x – 2y)
Distribute the negative sign to the left of the parentheses by changing each sign inside the parentheses.
= 4x – 5y - 4x + 2y
Combine like terms.
= 4x - 4x - 5y + 2y
= 0 - 3y
= -3y
The expression -3y represents the difference when (4x – 2y) is subtracted
from (4x – 5y).
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations,
The given expressions are,
4x - 2y and 4x - 5y
To find the expression, which represents the difference between, 4x - 2y and 4x - 5y.
Subtract 4x - 2y from 4x - 5y.
4x - 5y - (4x - 2y)
4x - 5y - 4x + 2y
0 - 3y
-3y
The required expression is -3y.
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What is the greatest common factor of 8, 28, and 32?
Answer:
4
Step-by-step explanation:
8 = 2 x 4
28 = 4 x 7
32 = 4 x 8
G.C.F = 4
Answer:
4
Step-by-step explanation:
Which graph represents points on the polar curve r = –4sin(3θ)?
The graph which represents the polar curve r = -4 sin ( 3θ ) is plotted
What are Polar coordinates?Polar coordinates describe the position of a point P in the plane by its separation from the origin, r, and the angle formed between the positive x-axis and the line segment leading to P.
To graph the polar curve, we make use of the following representations:
r represents the y-axis
θ represents the x-axis
Polar coordinates can also be extended into three dimensions using the coordinates (ρ, φ, θ), where ρ is the distance from the pole, φ is the angle from the z-axis ( called the co-latitude or zenith and measured from 0 to 180° ) and θ is the angle from the x-axis ( as in the polar coordinates ).
Given data ,
Let the polar curve be represented as A
Now , the polar coordinates is given as
r = -4 sin ( 3θ )
And , To graph the polar curve, we make use of the following representations:
r represents the y-axis
θ represents the x-axis
So , on simplifying , we get
The graph which represents the polar curve r = -4 sin ( 3θ ) is plotted
Hence , the polar curve is r = -4 sin ( 3θ )
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Answer:
D
Step-by-step explanation:
Solve the formula 6x−4y=−22 for y when x=−7.
Answer:
6x−4y=−22
Agrega 4y a ambos lados.
6x=−22+4y
La ecuación está en formato estándar.
6x=4y−22
Divide los dos lados por 6.
6
6x
=
6
4y−22
Al dividir por 6, se deshace la multiplicación por 6.
x=
6
4y−22
Divide −22+4y por 6.
x=
3
2y−11
Resolver para y
y=
2
3x+11
Step-by-step explanation:
10 plus 30 equals what i ont know it
Answer: 10+30=40 :)
Step-by-step explanation:
Grant obtained a balloon mortgage but was late on a few payments during
the period of the loan. Which of the following is an unlikely option for him
once the balloon payment becomes due?
A. Sell the home
O B. Foreclosure
O c. Pay balloon payment in full
O D. Refinance the balloon payment
Answer: Refinance the Ballon Payment
f(x) = 4x - 12
F1(x)=
What is the length of the base of a right triangle with an area of 20 square meters and a height of 4 meters? 5 m 10 m 80 m 160 m
Answer:
The answer is 10 20/4=5*2=10
Step-by-step explanation:
its 10
Explain why a set of points that defines a plane cannot be collinear
Answer:
Three non-collinear points determine a plane.
Step-by-step explanation:
This statement means that if you have three points not on one line, then only one specific plane can go through those points. The plane is determined by the three points because the points show you exactly where the plane is
8 Jacob wrote the expression shown.
10:5+ 4(72-6)
What do these parentheses indicate in the expression?
F.Divide 10 by 5 before adding 4
G.Multiply 4 by 72 before subtracting 6
H.Add 5 and 4 together before subtracting 6 from 72
J.Subtract 6 from 72 before multiplying by 4
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base salary 42000; total sales 175000; commission 4%
The total amount that the person with base salary 42000; total sales 175000; commission 4% gets is $51000.
How to calculate the value?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. In this case, the percentage of commission is given as 4%.
The commission will be:
= Percentage × Amount
= 4% × 175000
= 7000
Therefore, the total amount that the person gets will be:
= Salary + Commission
= 42000 + 7000
= $51000
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Can anyone help me but also explain this !
The slope of the line for 3y-4×+5=0is?
First we should write the equation like slope point form (y=mx+b)
3y-4x+5=0
3y=4x-5
y=4/3x-5/3
Slope is 4/3
Hope it helps
Please give brainliest
Four elements(A,B,C and D) required to produce a drug for ebola virus treatment are to be mixed in the ratio 1:2:4:5,if the information is to be represented on a pie chart,what percentage will element C have on the pie chart?
The length of a rectangle is 1 yd more than double the width, and the area of the rectangle is 66 yd^2 . Find the dimensions of the rectangle.
The dimensions of the rectangle as described in the task is; 12.4 by 5.7 yd.
What is the dimension of the rectangle?Since the area, length and breadth of the rectangle are as described, it follows that;
66 = x(2x+1)
66 = 2x² + 1
x² = 32.5
x = 5.7
Therefore, the dimensions are 5.7 and 12.4.
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Which is the graph of f(x) = 2(3)*?
The graph is shown in the photo below.
Find value of x in trapezoid
Answer:
x = 1
Step-by-step explanation:
You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.
Supplementary anglesThe two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.
(43x +2)° +135° = 180°
43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137
x = 1 . . . . . . . . . . . . . . . divide by 43
The value of x is 1.
__
Additional comment
Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.
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The perimeter of a triangle is 100cm and the angles are in the ratio: 1:3:5 find the length of each side triangle
By applying the rule of sin, it can be concluded that the length of the sides of the triangle is 15.48 cm, 39.68 cm, and 44.84 cm.
Triangle is a 2D shape that is bounded by three sides and has three vertices. The perimeter of a triangle is the sum of the lengths of the three sides of the triangle.
Perimeter = a + b + c, where a, b, and c are the sides of the triangle
One of the most important properties of a triangle is that the sum of the angles in a triangle equals 180°.
The rule of sin describes the ratio of the angles corresponding to the side lengths of the sine function.
a / sin A = b / sin B = c / sin C, where A, B, and C are the angles of the triangle
If the ratio of the angles is 1 : 3 : 5 and let x be the smallest angle, then we can put this information into the following equation:
Total angle = A + B + C
180° = x + 3x + 5x
180° = 9x
x = 20°
Then we can calculate the other angles:
A = 20°
B = 3x = 3 * 20° = 60°
C = 5x = 5 * 20° = 100°
Now we put the value of A, B, and C into the rule of sin equation:
a / sin A = b / sin B
a / sin 20° = b / sin 60°
a / 0.34 = b / 0.87
a = 0.34 * b / 0.87
a = 0.39b
c / sin C = b / sin B
c / sin 100° = b / sin 60°
c / 0.98 = b / 0.87
c = 0.98 * b / 0.87
c = 1.13b
Then we go back to the perimeter formula:
perimeter = a + b + c
100 = 0.39b + b + 1.13b
100 = 2.52b
b = 39.68 cm
Then we can calculate the length of the other sides, a and c:
a = 0.39b
= 0.39 * 39.68
= 15.48 cm
c = 1.13b
= 1.13 * 39.68
= 44.84 cm
Thus, the length of the sides of the triangle is 15.48 cm, 39.68 cm, and 44.84 cm.
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Help mee pleasee!!
thank you <3
540 people will be employed as medical assistants in the year 2013.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have to determine the slope of the line :
m = (y₂ - y₁)/(x₂ -x₁ )
m = (560 - 359)/(10-0)
m = 20.1
This represents new assistants per year
So with your y-intercept of 359, your equation becomes
y = 20.1x + 359
Using this equation to estimate the number of people who will be employed as medical assistants in the year 2013.
Let y be the number of medical assistants (in thousands) employed in the country in the year x, where x = 0 represents 2004.
Substitute the value of x = 9 for the year 2013
y = 20.1(9) + 359
y = 180.90 + 359
y = 539.90 ≈ 540
Hence, 540 people will be employed as medical assistants in the year 2013.
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what are the solutions of the equation 0 equals x ^ 2 + 3x - 10
The given expression is :
\(0=x^2+3x-10\)Factorize the expression :
\(\begin{gathered} 0=x^2+3x-10 \\ x^2+3x-10=0 \end{gathered}\)Find the pair of number such that : the product of two numbers are equal = (-10)
and thier summation is equal to 3
i.e. 5 x ( -2) = -10 and 5 + (-2) = 3
So,
\(\begin{gathered} x^2+3x-10=0 \\ x^2+5x-2x-10=0 \end{gathered}\)Take x common from the first two terms and (-2) from last two terms :
\(\begin{gathered} x^2+5x-2x-10=0 \\ x(x+5)-2(x+5)=0 \\ \text{Now, take (x+5) common :} \\ (x-2)(x+5)\text{ =0} \end{gathered}\)Now equate each factor with zero :
\(\begin{gathered} (x-2)(x+5)=0 \\ x-2=0\Rightarrow x=2 \\ x+5=0\Rightarrow x=-5 \end{gathered}\)Answer : C) x = -5, 2
All the problems we have looked at in this chapter have assumed that all participants receive an equal share of what is being divided. Often, this does not occur in real life. Suppose Fred and Maria are going to divide a cake using the divider-chooser method. However, Fred is only entitled to 30% of the cake, and Maria is entitled to 70% of the cake (maybe it was a $10 cake, and Fred put in $3 and Maria put in $7). Adapt the divider-choose method to allow them to divide the cake fairly.
In the game Divider-chooser, as the name implies, one player, referred to as the dividers, divides S into two parts, and the other player, referred to as the dropdown, selects the share they desire while leaving the other share up for the spacer to decide.
What is the Percentage?The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.
In our instance, Fred and Maria will share a cake in this way.
Without regard to the type of cake, they each prefer, Fred offers to split the cake into 10 equal pieces as the first option.
Maria, the chooser, got to pick any seven pieces to get her fair portion. Fred will get the final three pieces. Maria will have better options with this strategy because she is a picky person.
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Can someone please help me with this??
Answer:
m angle 2 = 60° (vertically opposite)
m angle 3 = 120° (linear pair)
m angle 1 = 120° (linear pair)
Rectangle ABCD is translated to produce image EFGH. Which statement is
true?
Therefore, the correct statement is:" D corresponds to E." that is option B.
What is rectangle?A rectangle is a four-sided flat shape with four right angles (90-degree angles) between its sides. It is a type of parallelogram that has two pairs of opposite sides that are parallel and congruent (equal in length), and all four angles are right angles. In a rectangle, the opposite sides are equal in length, which means that the width (or height) of the rectangle is the same throughout. The length of a rectangle is the longer side, while the width (or height) is the shorter side. The perimeter of a rectangle is the sum of the lengths of all its sides, while the area is the product of its length and width. These formulas are often used to calculate the dimensions of a rectangle or to solve problems related to its area or perimeter. Rectangles are used in many applications such as architecture, engineering, mathematics, and art, and they are commonly found in everyday objects such as books, windows, doors, and computer screens.
Here,
In a translation, every point on the preimage (the original figure) moves the same distance and in the same direction to become a point on the image (the translated figure).
To determine which statement is true, we can look at the corresponding vertices of the rectangle ABCD and its image EFGH.
A corresponds to E, B corresponds to F, C corresponds to G, and D corresponds to H.
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REVIEW OF ESSENTIAL SKILLS AND PROBLEM SOL
Examining a savings plan for college
David wants to attend a college that will cost $21,000 for the first year. His uncle gave him a special gift of $12,000 to use toward the cost. David plans to
attend the college in 5 years. How much must David save each month to have enough for the first-year cost?
5
Based on the above, David must save $150 each month to cover the money left over for his first year of college.
How to calculate what David's savings should be for the next 5 years for his first year of university?To calculate the savings that David must make monthly for the next 5 years we must carry out the following procedure:
His uncle gave him $12,000 so we must subtract this value from the total he needs.
$21,000 - $12,000 = $9,000So he must save $9,000 in 5 years.
$9,000 / 5 = $1,800$1,800 / 12 = $150According to the above, he must save $1,800 per year, so each month he should save $150.
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The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 119 and standard deviation of 18 .
Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher.
a. Around what percentage of adults in the USA have stage 2 high blood pressure? Give your answer rounded to two decimal places.
%
b. If you sampled 2000 people, how many would you expect to have BP> 160? Give your answer to the nearest person. Note: I had a bit of an issue encoding rounded answers, so try rounding both up and down if there's an issue!
a) The percentage of adults in the USA that have stage 2 high blood pressure is; 0.27%
b) The number of people that you will expect to have BP greater than 160 is; 54
How to get p-value from z-score?a) if x is systolic blood pressure, then want to find probability that x ≥ 160.
The formula for z-score is;
z = (x - mean)/standard deviation
Thus;
z = (x - 119)/18
This is normally distributed with mean 0 and standard deviation 1
Transform x to z:
P(x > 160) = P(z > (160 - 119)/18)
= P(z > 2.78)
= P(z < -2.78)
= 0.0027 (from standard normal distribution table, which 0.27%.)
b) Since probability of BP > 160 is 0.027.
Then out of 2000 people, then 2000 * 0.027 = 54 people would have BP > 160.
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Maliah goes to an electronic store. Let y represent the price of a laptop and let x
represent the price of a television. The equation y= 3x + 22 relates the prices.
Which of the following statements are true? Select all that apply.
Answer:
A and C if this was ABCDE
Step-by-step explanation:
150 times 3 plus 22 would equal 450 plus 22 which is 472,
265 times three is 795 plus 22 is 817,
for the BDE, 175 times 3 is 525 plus 22 is 547, 300 times 3 is 900 plus 22 is 922, and 345 times 3 is 1035 plus 22 is 1057
ABC ~ AYZ , what's the value of x?
Answer:
Step-by-step explanation:
6cm