What is the sum of the positive integers that are solutions of -3n +3 >-11?
Step-by-step explanation:
-3n + 3 > -11
-3n > -14
3n < 14
n < 14/3
14/3 = 4.66666666...
the only positive integers that are smaller than 4.666666... are
4, 3, 2, 1
their sum is
4+3+2+1 = 10
PLEASEEE ANSWERRR ASAP
If point A(-3, 9) is dilated by a scale factor of 6 with the origin as the center of
dilation, what would be the coordinates of the new image at point A'?
Answer:
A' = (-18, 54)
Step-by-step explanation:
Solve: 8w + 5= 4 (2 w+1)=
Answer: No Solutions
Step-by-step explanation:
8w + 5= 4 (2 w+1)=
8w+5=(4)(2w)+(4)(1)
8w+5=8w+4
-8w -8w
5=4
-5 -5
0=-1
Which means there are No Solutions.
Answer:
8w+5=4(2w+1)
8w+5=8w+4
collect like terms
8w-8w = 4-5
0=-1
there is no solution
PLEASE HELP, NO LINKS FAKE ANSWERS WILL GET REPORTED. Han has to build the figure below, which will serve as a counterweight, for his robotics project. Find the VOLUME of the finished object assuming it is empty inside.
Answer:
400 cm³
Step-by-step explanation:
The volume of the given figure can be found by using the composite figures present;
We have two simpler figures combined to form the given figure including;
a) A cube
b) A triangular prism
a) The volume of a cube, [tex]V_{cube}[/tex] = Length × Breadth × Height
∴ The volume of the cube, V₁ = 6 cm × 8 cm × 5 cm = 240 cm³
b) The volume of a triangular prism, [tex]V_{prism}[/tex] = Base length × Height × Length
The base length of the triangular prism= 8 cm
The height of the triangular prism = 4 cm
The length of the triangular prism = 5 cm
The volume of the triangular prism, V₂ = 8 cm × 4 cm × 5 cm = 160 cm³
Therefore;
The volume of the figure, V = V₁ + V₂
∴ V = 240 cm³ + 160 cm³ = 400 cm³
The volume of the figure of the finished object, V = 400 cm³.
The width of a rectangle is 5x-1.5 feet and the length is 1.5x+5 feet. Find the perimeter of the rectangle.
7th grade
The perimeter of the rectangle is 13x+7 feet
What is the area of the rectangle?The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.
Given here: The width of a rectangle is 5x-1.5 feet and the length is 1.5x+5 feet. Therefore the perimeter of the rectangle is given by
= 2(5x-1.5+1.5x+5)
=2(6.5x+3.5)
= 13x+7
Hence, The perimeter of the rectangle is 13x+7 feet
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5 divided by 3 1/3 I forgot how to do it and just redoing it
Answer:
3/2
Step-by-step explanation:
Write out the following:
5 1
----------- = --------- = 3/2
5 1/3 2/3
3 1/3 = 10/3
5/1 : 10/3 = 5/1 x 3/10 => 15/10 = 3/2
Answer = 3/2
How do you know if ordered pairs are a linear equation?
The ordered pairs are a linear equation if the graph plotted is the straight line.
A linear equation can be represented by a graph in the Cartesian coordinate system as a straight line. If the equation is in the form of "y = mx + b" where m and b are constants, it is a linear equation. The ordered pairs of a linear equation will always satisfy this equation, and when plotted on a graph, will fall on a straight line. To check if a set of ordered pairs is a linear equation, you can plot them on a graph and see if they form a straight line or can substitute the x- and y-values of the ordered pairs into the equation "y = mx + b" and see if they make the equation true.
So, if the graph plotted is the straight line, then the ordered pairs are of a linear equation.
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What is the value of (-3) to the power of negative two
Answer:
1/9
Step-by-step explanation:
How do you find the ratios for sin A and cos A?
In given right triangle ACB, the ratios for sin A and cos A :
sin(A) = 48/50
cos(A) = 14/50
Consider the following diagram.
In a right triangle ACB, the angle ACB = 90 degrees.
We know that in right triangle for an angle θ, the trigonmetric ratios are:
sin(θ) = opposite side of θ/ hypotenuse
cos(θ) = adjacent side of θ / hypotenuse
Here, side AC = 14 units, side CB = 48 units and the hypotenuse AB = 50 units
We need to find the ratios for sin A and cos A
In right triangle ACB for angle A,
sin(A) = opposite side of angle A/ hypotenuse
sin(A) = CB/AB
sin(A) = 48/50
And cos(A) = adjacent side of A / hypotenuse
cos(A) = AC/AB
cos(A) = 14/50
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Which graph represents the solution set of this inequality? 12b-15>21
Answer:
b > 3, or D.
Step-by-step explanation:
Solve for b to get the equation of the inequality.
12b - 15 > 21
Add 15 to both sides.
12b > 36
Divide both sides by 12.
b > 3
Since it is greater than and not greater than and equal to, the initial dot will not be circled, which makes it either C or D.
Since it is greater than 3, it means it will be all values to the right of 3, which makes the answer D.
The population for Rainbow City is 36,000. The growth rate is 3%. About how many people will it have after 5 years
Answer:
41,500 people
Step-by-step explanation:
First you find 3% of 36,000= 1,080
Then you do 1080 x 5= 4,500
Then finally do 36,000 + 4,500= 41,500
7x -2y =-10 slope interceept form
Answer:
y = 7/2x + 5
Step-by-step explanation:
The slope intercept form is: y = mx + b
Our equation is
7x -2y = -10
We subtract 7x both sides
-2y = -7x - 10
Divided by -2, both sides
y = 7/2x + 5
So, the answer is y = 7/2x + 5
Pls help pls help pls I’m begging
Answer:
side=8 unit
Area=777 unit^2
SEE IMAGE FOR SOLUTION
Hope it helps
Have a great day
What is the graph of the function f(x) = the quantity of x plus 7, all over x minus 4 ? (1 point)
Answer:
Describe two ways you think a sound wave could be stopped or could change change direction.
What is the midpoint formula of quadratic equation?
The midpoint formula of a quadratic equation is given by: x = -b/(2a), where a, b and c are the coefficients of the quadratic equation ax2 + bx + c = 0.
This formula is used to determine the midpoint of the roots of a quadratic equation. It works by taking the coefficients of the equation and plugging them into the formula. The result of the formula will be the x-coordinate of the midpoint of the two roots.
This formula is useful when solving quadratic equations, because it allows us to quickly find the midpoint of the two roots without having to solve for both roots first. It is also useful for graphing the quadratic equation, as it reveals the location of the vertex of the parabola. Knowing the midpoint of the two roots also makes it easier to determine the nature of the roots, whether they are real or imaginary.
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In a certain city, the mean household annual income is $45,000 with a standard deviation of $6,000.
Suppose a certain household has an annual income with a z-score of 1.5. What is their annual income?
The annual income of a certain household that has a z-score of 1.5, is 80,000.
What is z-score?The relationship between a value and a group of values' mean is described statistically by the Z-score. Standard deviations from the mean serve as the unit of measurement for Z-score. The score for a data point is equal to the mean score if the Z-score is 0. A value that deviates by one standard deviation from the mean is indicated by a Z-score of 1.0.
Z-scores can either be positive or negative, with a positive value indicating that the score is above the mean and a negative value indicating that the score is below the mean. Z-scores are measurements of an instrument's variability used in investing and trading that traders can use to estimate volatility.
Let the annual income be x.
x has μ = 50000, σ = 20000
We know that for given x, z = (x−μ)/σ
Given that z - score = 1.5
Substituting the values we get
⇒ 1.5 = (x−50000)/20000
⇒ 1.5 × 20000 = x−50000
⇒ 30000 = x − 50000
⇒ x = 30000 + 50000
⇒ x = 80,000
Thus, The annual income of a certain household that has a z-score of 1.5, is 80,000.
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isabella is setting up a cheese board for a neighborhood Super Bowl viewing party. the top of the cheese board is shaped like a triangle. the base of the triangle is 24 inches long, and its heigh is 20 inches. what is the area of the top of the cheese board
To find the area of a triangle, you can use the formula:
area = (base * height) / 2
In this case, the base of the triangle is 24 inches and the height is 20 inches, so plugging these values into the formula gives:
area = (24 * 20) / 2
area = 240 / 2
area = 120 square inches
So the area of the top of the cheese board is 120 square inches.
Can some kind person help me on this assignment pls
Answer:
D, B
Step-by-step explanation:
Question 8.
The shaded area should be on or below the line [tex]y=\frac{5}{2}x-2[/tex] AND below but not on the line [tex]y=\frac{1}{2}x+2[/tex]
Question 9.
See the attached image.
Shade on or under the line [tex]y=\frac{1}{2}x-1[/tex] AND above but not on the line [tex]y=\frac{3}{2}x+1[/tex].
How to do proofs with perpendicular lines theorem?
Answer:
"If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular."
Step-by-step explanation:
2) Ms. Van is going to build a small rectangular garden in a part of her yard. The
garden's length will be four meters longer than three times the width of the garden.
Write a polynomial expression to represent the area of the garden.
Answer:
Area = 3x^2 + 4x
Step-by-step explanation:
Givens
W = x
L = 3x + 4
Formula
Area = L * W
Solution
Area = x(3x + 4)
Area = 3x^2 + 4x
If you help me, I shall be your friend! :)
PLEASE HELP ME!!!
For each equation below, decide what value, if any, would make it true.
( Please no links, and don't answer unless you're actually going to help me)
Answer:
h=9
r=3
and im not so sure about the other 2
Answer:
h = 81
r = N/A
a = 36\pi ^2\\
b = N/A
Step-by-step explanation:
James Middle School, 500 students were asked their favorite sport to watch on TV 35% of the students like watching basketball 15% of the students like watching baseball 30% of the students like watching soccer The rest of the students like watching football. How many students like watching football?
If jimmy buys 5 apples and gets eaten alive by ___ How many apples does he have left?
The number of apples that he has left will be 2 apples.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
If jimmy buys 5 apples and gets 3 apples eaten alive by him.
Then the number of apples that he has left will be given by subtracting 3 from 5. Then the expression is given as,
⇒ 5 - 3
⇒ 2
The number of apples that he has left will be 2 apples.
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The complete question is given below.
If jimmy buys 5 apples and gets 3 apples eaten alive by him. How many apples does he have left?
NO LINKS PLEASE, THANK YOU:D
HELLLPPPP
If triangle ABC is translated 2 units left, what are the new coordinates of point
A?
A. (-2,2)
B. (-2-2)
C. (0,2)
D. (2,0)
Answer:
A( 0,2)
Step-by-step explanation:
First A has the coordinates ( 2,2) then is translate 2 units to the left and is
A(2-2, 2) so is ( 0,2)
A food factory makes 560 fans in 7 days with the help of 20 machines,how many fans will be made in 12 days with the help of 18 machines.
Answer:
864fans
Step-by-step explanation:
machines:days:fans
20 : 7 :560
18 : 12 : ??
we start with the days:if the days increase the number of fans being made also increase so the solving ratiowill be an increasing one:12/7 ×560=960.Then we go to the no. of machines.......if the no. of machines decrease then no. of fans being made also decrease so the solving ratio is a decreasing one:18/20 × 960=864
answer:864fans
Did I divided the polinoms in a correct way?
If I didn't please explain how
Answer:
siesta bien
Step-by-step explanation:
Please help me.
Fiona wants to rope off a triangular region in her yard for a vegetable garden. She has 90 feet of rope to use, she wants the distance between each stake to be an integer, and the distance between two of the stakes must be 36 feet.
A. What is the greatest possible distance between any of the stakes?
B. If she wants to create a right triangular region and use all of the 90 feet of rope, what would be the lengths of the sides of the region?
Answer:
A.) The greatest possible distance between any of the stakes is 53 feet.
B.) A triangle with sides 15, 36, and 39 is a right triangle and has perimeter 90 feet.
Step-by-step explanation:
Given - Fiona wants to rope off a triangular region in her yard for a vegetable garden. She has 90 feet of rope to use, she wants the distance between each stake to be an integer, and the distance between two of the stakes must be 36 feet.
To find - A. What is the greatest possible distance between any of the stakes?
B. If she wants to create a right triangular region and use all of the 90 feet of rope, what would be the lengths of the sides of the region?
Solution -
A.)
Let us assume that,
Length of side 1 = x
Length of side 2 = y
Length of side 3 = z
Now,
Given that,
She has 90 feet of rope to use
⇒x + y + z = 90
And
The distance between two of the stakes must be 36 feet.
So, Let z = 36.
∴ we get
x + y + 36 = 90
⇒x + y = 90 - 36
⇒x + y = 54
Now,
Let x be as large as possible.
i.e. To make x to be large, y has to be as small as possible.
It happens when y = 1.
( We can not take y = 0, or else a triangle won't form)
∴ we get
y = 1
⇒x + 1 = 54
⇒x = 54 - 1
⇒x = 53
∴ we get
The greatest possible distance between any of the stakes is 53 feet.
B.)
We know that,
(5,12,13) is a Pythagorean triple.
Because 5² + 12² = 13²
So,
As, we have a Pythagorean triple,
This means a triangle with sides 5, 12, 13 is a right triangle.
Now,
If a triangle has sides 5, 12, 13,
⇒ The perimeter becomes 5 + 12 + 13 = 30.
By Triple each side we get,
Length of sides 15, 36, 39.
The perimeter i= 15 + 36 + 39 = 90
Also,
We can see that,
15² + 36² = 39².
This means we have a right triangle and (15, 36, 39) is another Pythagorean triple.
Because any scaled version of a Pythagorean triple, is also a Pythagorean triple.
∴ we get
A triangle with sides 15, 36, and 39 is a right triangle and has perimeter 90 feet.
Is N2 equal to Avogadro's number?
Yes, N2 equal to Avogadro's number. The symbol for Avogadro's number is N₂
What is Avogadro's number?Avogadro's number is a fundamental constant of physics and chemistry, defined as the number of atoms, ions or molecules in one mole of substance. It is approximately 6.022 x 10^23 and is used in many calculations in chemistry and physics, such as the number of atoms in a sample of an element, the number of ions in a salt, or the number of molecules in a gas sample. The constant is named after Amedeo Avogadro, an Italian scientist who first proposed the concept in 1811.
Yes, Avogadro's number is defined as the number of atoms, ions or molecules in one mole of substance, and is approximately 6.022 x 10^23. The symbol for Avogadro's number is N₂.
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at a local cafeteria there are 10 vegetable selections available how many three vegetable plates maybe made
The number of vegetable plates can be made = 120
We know that a combination is nothing but a way of selecting items from a collection. In combination the order of selection does not matter.
We know that a formula for a combination is,
^nC_r = n! / r!(n - r)!
where, ^nC_r = number of combinations
n = total number of items in the collection
r = number of choosing items from the collection
and n! = n × (n - 1) × (n - 2) × . . . × 1
Here, we have n = 10 and r = 3
Using combination formula, the total number of plates made:
^10_C_3
= 10! / (3! × (10 - 3)!)
= 10! / (3! × 7!)
= (10 × 9 × 8 × 7!) /( 3! ×7!)
= (10 × 9 × 8) / (3 × 2 × 1)
= (90 × 8) / 6
= 720/6
= 120
Therefore, 120 vegetable plates maybe made
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Ellis put 57 equal size bags of potatoes onto the shelf at the grocery store. The total weight was 60.42 pounds. What is the weight of each bag of potatoes
Answer: 1.06 pounds per bag of potatoes
Step-by-step explanation:
Total weight = 60.42
# of bags of potatoes = 57
60.42/57 = 1.06 pounds per bag