Answer:
a(y=-5x+2500) b(2,380) c(25months)
Step-by-step explanation:
someone point out if I'm wrong. I'm not so sure about "c".
(how I got b)
So 2 years=24 months
y=-5x+2500
So x would be 24.
-5(24)+2500
-120+2500
2,380
On the scale drawing of a car, the length from bumper to bumper is 6 inches. The car’s actual length, from bumper to bumper, is 16 feet. How many inches would be used to represent an actual length on the car of 10 feet? Explain or show your reasoning.
Answer: x = 3.75 inches
Step-by-step explanation:
We will set up a proportion to solve.
[tex]\displaystyle \frac{6 \text{ inches}}{16 \text{ feet}} =\frac{x \text{ inches}}{10 \text{ feet}}[/tex]
Now, we will cross multiply, simplify and isolate the variable to solve your math problem.
6 * 10 = 16 * x
60 = 16x
3.75 = x
x = 3.75 inches
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Question 17 of 25
Which is a correct expansion of (3x+2)(3x² + 4)?
OA. 3x 3x² + 3x • 4+2·3x²+2 • 4
OB. 3x. 3x² + 3x• 4+2·3x+2·4
O C. 3x. 3x²+2·3x² + 3x².4+2·4
Answer:
A is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Which polar coordinates represent the same point as the rectangular coordinate (1,-3)?
The ANSWERS are (sqrt{10} , 288.4°) and (-sqrt{10} , 108.4°) ----- PLEASE EXPLAIN THANK YOU!!!
A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the objects. The polar coordinate of the coordinate (1, -3) is (√10, 288.435).
What are coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
The polar coordinate of the coordinate (1, -3) are,
r = √(x² + y²) = √[(1)²+(-3)²] = √10
θ = tan⁻¹(-3/1) = -71.565 = 288.435
Hence, The polar coordinate of the coordinate (1, -3) is (√10, 288.435).
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there are 100 students in the 5th grade. of those 43 of them are in the school band.what percent of 5th grade are in the band
Answer:
43 percent
Step-by-step explanation:
When you divide 43 by 100 you get .43 which is 43%
Answer:
43%
Step-by-step explanation:
Because if you divide 43 by 100 you get, .43 and so there you have it, 43% Hope you understand <3
find the value of "w" that makes this quadrilateral a parallelogram.
Answer:
w=7
Step-by-step explanation:
A parallelogram is defined as a four-sided plane rectilinear figure with opposite sides parallel. This means that GH and FE must be equivalent, and HE and GF must be equivalent. Now, we just use those equations to solve.
16w-63=7w
9w-63=0
9w=63
w=7!!!
and we can double check.
16w-81=15w-74
16w=15w+7
w=7
Find the value of x. (4x-101) (2x+3)
A. 31
B.107
C.52
D.46
(4x−101)(2x+3)
Apply the distributive property by multiplying each term of 4x−101 by each term of 2x+3.
8x²+12x−202x−303
Combine 12x and −202x.
8x²−190x−303
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find the value of x in [tex]\mathrm{(4x-101)(2x+3)}[/tex].
◈ Note:
⇛ We can't find the value of x, but we can simplify this expression.
This is how we'll simplify it:
◆ Multiply 4x times 2x and 3 first:
[tex]\large\pmb{4x\times2x=8x^2}[/tex]
[tex]\large\pmb{4x\times3=12x}[/tex]
Add the terms:
[tex]\large\pmb{8x^2+12x}[/tex]
Now, do the same thing with -101 - multiply that times 2x and 3:
[tex]\large\pmb{-101\times2x=-202x}[/tex]
[tex]\large\pmb{-101\times3=-303}[/tex]
Add the terms:
[tex]\large\pmb{-202x-303}[/tex]
Put all 4 of the terms together:
[tex]\large\pmb{8x^2+12x-202x-303}[/tex]
Combine like terms (12x and -202x):
[tex]\large\pmb{8x^2-190x-303}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
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~Just a smiley person helping fellow students :)
PLEASE HELP ASAP CANT MOVE ON
What is the scale factor of LaTeX: \triangle ABC\:to\:\triangle DEC? Be sure to simplify your answer!
answers:
2/7
10/21
3/14
5/14
Answer:
[tex]\frac{2}{7}[/tex]
Step-by-step explanation:
Triangle ABC is similar to triangle DEC, because all angles in one triangle are equal to angles in the other triangle.
That means that corresponding sides have the same ratio. Side AB and side DE are corresponding sides. Since there are no unknowns we can calculate the ratio (scale factor).
Since we are looking for scale factor of triangle DEC to triangle ABC, we put side AB (which is in triangle ABC) in the numerator.
[tex]\text{scale factor} = \frac{\text{AB}}{\text{DE}} = \frac{6}{21} = \frac{2}{7}[/tex]
I've marked corresponding sides and angles in the attached picture.
a boat leaves at 4:25 a.m. and returns to port at 10:55a.m. How long was the boat out?
Answer:
6 hours 30 minutes
Step-by-step explanation:
10 subtract 4 is 6
55 subtract 25 is 30
Find the axis of symmetry of the graph of the function. (5 points) f(x) = 3x2 + 12x + 9
Considering the definition of axis of symmetry, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.
Axis of symmetryAn axis of symmetry is an imaginary reference line that, when dividing any shape into two parts, its opposite points are equidistant from each other, that is, they are symmetrical.
In other words, the axis of symmetry is a vertical line that divides the parabola into two congruent halves.
The axis of symmetry is the line perpendicular to the "x" axis that contains the vertex of the function, that is, it always passes through the vertex of the parabola. So the x-coordinate of the vertex is the equation of the axis of symmetry.
That is, in a quadratic function that has the form:
f(x)= ax² + bx + c
the axis of symmetry is a vertical line and it is defined as [tex]x=\frac{-b}{2a}[/tex].
Axis of symmetry of f(x) = 3x² + 12x + 9In this case, you know:
a= 3b=12c=9Replacing in the definition of axis of symmetry:
[tex]x=\frac{-12}{2x3}[/tex]
Solving:
[tex]x=\frac{-12}{6}[/tex]
x= -2
Finally, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.
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Write the slope intercept form of each equation of the line. Use a fraction for slope if needed.
Parallel to y=−x+5, through (2, 4)
Answer:
y=-x+6
Step-by-step explanation:
Start by graphing y=-x+5. Then mark the point (2,4) for easier reference. A parallel line just has the same slope, so if you make another line with the same slope, and change the y-intercept until the line goes through (2,4), you will have the answer.
25% of 80 help nowww
80 * 25 /100 = 20 .........
Answer:
20
Step-by-step explanation:
25% of 80
to turn 25% into a decimal, 25 / 100 = 0.25
multiply 80 by 0.25, 80 x 0.25 = 20
y=-2/5x
a. direct
b. inverse
c. neither
Answer:
a. direct
Step-by-step explanation:
direct variation is y = kx and y = -2/5x is written in direct variation.
Which of the following statements about the triangle shown above is true? . The triangle is scalene. The triangle is an equilateral triangle in which the length of all three sides is 10. . The triangle is an isosceles triangle in which two sides are of length square root 61. The triangle is an isosceles triangle in which two sides are of length 5.
Answer:
B isosceles with sides sqrt (61)
Step-by-step explanation:
Find the two sides' lengths via pythagorean theorem to be
sqrt ( 5^2 + 6^2) = sqrt (61)
Marc is trying to determine how many blue marbles are in a bag of `100` marbles. he can only fit `10` marbles in his hand at a time. he takes `11` samples of `10` marbles, returning the marbles to the bag each time. based on these results, how many of the `100` marbles do you expect are blue
Based on the result from the box plot, the number of blue marbles is equal to the median of the data set and this is equal to 40.
What is a boxplot?A boxplot is a type of chart that can be used to graphically represent the five-number summary of a data set with respect to locality, skewness, and spread. Also, the five-number summary include the following:
MinimumFirst quartileMedianThird quartileMaximumFor this exercise, we would create a box plot (see attachment) for the marbles in a bag of 100 marbles. By critically observing the box plot, we can logically deduce that the number of blue marbles is equal to the median of the data set and this is given by:
Median = 4 × 10
Median = 40.
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A chandelier is suspended from the ceiling by two chains. one chain is 46cm long and forms an angle of 60o with the ceiling. the other chain 64cm long. what angle does the longer chain make with the ceiling?
The angle the longer chain makes with the ceiling is 38.5°
The two chains and ceiling form a triangle and with two sides and an angle, we use the sine rule to find the other angle
What is the sine rule?The sine rule states in any triangle with sides a, b, c and angles A, B and C, repsectively, we have that
a/sinA = b/sinB = c/sinC
Since one chain is 46cm long and forms an angle of 60° with the ceiling. the other chain 64cm long. So, we find the other angle.
So, a/sinA = b/sinB where
a = 46 cm, b = 64 cmA = other angleB = 60°The value of the other angleMaking A subject of the formula, we have
A = sin⁻¹(asinB/b)
So, substituting the values of the variables into the equation, we have
A = sin⁻¹(asinB/b)
A = sin⁻¹(46 cm × sin60/64 cm)
A = sin⁻¹(46 cm × 0.8660/64 cm)
A = sin⁻¹(39.84 cm/64 cm)
A = sin⁻¹(0.6225)
A = 38.49°
A ≅ 38.5°
So, the angle the longer chain makes with the ceiling is 38.5°
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ΔDEF rotates 90° clockwise about point A to create ΔD 'E 'F. Therefore, which equation must be true?
The equation that must be true about the rotation is that m∠EAE ' = m∠FAF.
How to explain the rotation?Rotation is a type of transformation in which the shape of the original object is preserved and the angle of rotation is constant for all the parts of the body.
In this case, ΔDEF rotates 90° clockwise about point A to create ΔD 'E 'F, m∠EAE ' = m∠FAF.
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Find an angle with a positive measure and an angle with a negative measure that are coterminal with each angle. 175
Answer:
185 anle with the postive measure and a negative measure
what is the formula for the nth term of the sequence (1x3),(2x4),(3x5)
Answer:
nth term = n(n + 2)
Step-by-step explanation:
Note that the first number in each parentheses is the sequence number n of the term. This value of n is then multiplied by (n + 2) - for example 3 x 5
( 3 x (3+2)).
So the nth term = n(n + 2).
This is an example of a Quadratic Sequence.
To see why no one noticed time dilation until the twentieth century, consider the time dilation of a clock in an automobile moving past you at 30m / s (about 67mph for reference). What happens when you try to compute gamma for this problem? Write out the steps you take.
(PLLS)!!!
When we try to compute gamma, for this problem, the value of gamma is 1
To answer the question, we need to know what time dilation is.
What is time dilation?Time dilation is a phenomenon in special relativity in which there is an elongation of time due to the motion of an object.
Now, the time is given by t = γt₀ where
γ = gamma = 1/√[1 - (v/c)²] where v = speed of object c = speed of light and t₀ = proper timeThe value of gammaSince we need to compute gamma when the speed of the automobile moving past you is 30 m/s.
Given that
v = 30 m/s and c = 3 × 10⁸ m/sSubstiting these into γ, we have
γ = 1/√[1 - (v/c)²]
γ = 1/√[1 - (30 m/s/3 × 10⁸ m/s)²]
γ = 1/√[1 - (1/1 × 10⁷)²]
γ = 1/√[1 - (1 × 10⁻⁷)²]
γ = 1/√[1 - (1 × 10⁻¹⁴)]
γ = 1/√[1 - 0.00000000000001]
γ = 1/√0.99999999999999
γ = 1/1
γ = 1
So, when we try to compute gamma, the value of gamma is 1
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The midpoint of AB = ([?], [])
M = (x¹+x², ¹2²)
PLS HELP I WILL MARK BRAINLIEST
Answer:
[tex]\sf M=\left(-\dfrac{1}{2},0\right)[/tex]
Step-by-step explanation:
Let (x₁, y₁) = Point A = (-2, 1)
Let (x₂, y₂) = Point B = (1, -1)
[tex]\sf Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]\implies \sf Midpoint=\left(\dfrac{-2+1}{2},\dfrac{1+(-1)}{2}\right)[/tex]
[tex]\implies \sf Midpoint=\left(-\dfrac{1}{2},0\right)[/tex]
Cecilia made an envelope to mail a letter. She colored the regular trapezoid flap on the bottom of the envelope blue,
shown.
5 in.
2 in
9 in.
What is the area of the blue flap of the envelope?
O 14 in 2
O 18 in 2 45in2. 90in2
Answer:
14 inch ^2
Step-by-step explanation:
Area of a trapezium= (a+b) 2 times h
so side a= 5 inches
side b= 9 inches
then times by 2 times the height (2)
you can rearrange the formula to this- a + b/ 2 times height.
5+9/2 times 2= 14
I hope this helps, have a lovely day.
represent , the set of numbers between 10 to 50 when they are divided by 5 then the remainder is 2 by description method listing method and set builder method
The numbers between 10 and 50 when they are divided by 5 then the remainder is 2 is shown in the form of description method and in set-builder form is {12, 17, 22, 27, 32, 37, 42, 47}.
What is set?A set is a collection of clearly - defined unique items. The term "well-defined" applies to a property that makes it simple to establish whether an entity actually belongs to a set. The term 'unique' denotes that all the objects in a set must be different.
We have:
The set of numbers between 10 and 50 when they are divided by 5 then the remainder is 2
The numbers are:
12, 17, 22, 27, 32, 37, 42, 47
By description method:
1 2 3 4 5 6 7 8
12 17 22 27 32 37 42 47
By set builder form:
s = {12, 17, 22, 27, 32, 37, 42, 47}
Thus, the numbers between 10 and 50 when they are divided by 5 then the remainder is 2 is shown in the form of description method and in set-builder form is {12, 17, 22, 27, 32, 37, 42, 47}.
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(TR)546 - (TR)540
pls help!
The computation of (TR)546 - (TR)540 will give a value of 3261.
How to compute the value?
TR(546) = 546(546 + 1)/2 = 273 * 547
TR (540) = 540(540 + 1)/2 = 270 * 541
273 * 547 = (270 + 3)(541 + 6)
= 270*541 + 270*6 + 541 *3 + 18
= 270*541 + 1620 + 1623 + 18
= 270*541 + 3261
TR(546) -TR (540) = 270*541 + 3261 - 270 * 541
= 3261
TR(546) -TR (540) = 3261
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HELP!!!! THIS IS A MATRIX PROBLEM (WILL GIVE BRAINLIEST)
If T= 23 -38
17 -6
What is -10(T)
Answer:
hope you can understand
Abrianna sold 20, 23, 18, 4, 17, 21, 15, and 56 boxes of cookies after different football games. Which data value(s) are outliers? Select all that apply.
The data value that is an outlier in the data for boxes of cookies is: E. 56.
How to Determine Outliers in a Data?The simple rule is that values lower than Q1 - 1.5 × IQR and values greater than Q3 + 1.5 × IQR are outliers of a data distribution.
Given the data, 20, 23, 18, 4, 17, 21, 15, 56, find the Q1, Q3, and IQR of the data distribution:
First Quartile (Q1) = 15.5
Third Quartile (Q3) = 22.5
Interquartile Range (IQR) = 22.5 - 15.5 = 7
Q1 - 1.5 × IQR = 15.5 - 1.5 × 7 = 5
Q3 + 1.5 × IQR = 33
None of the values are lower than 5.
However, the only value that is greater than 33 is 56.
The outlier in the data is: E. 56.
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What is the standard deviation of the data? Round to the nearest whole number.
65
75
100
130
Rounded to the nearest whole number, the standard deviation of the data is 29.
How do we calculate the standard deviation of data?The following notations and formulas will be used in these calculations:
Mean = (sum of the values) / n
Variance = ((Σ(x - mean)^2) / (n - 1)
Standard deviation = Variance^0.5
Where:
n = number of values = 4
x = each value
Therefore, we have:
Mean = (65 + 75 + 100 + 130) / 4 = 92.50
Variance = ((65-92.5-)^2 + (75-92.50)^2 + (100-92.50)^2 + (130-92.50)^2) / (4-1) = 2,525 / 3 = 841.666666666667
Standard deviation = Variance^0.50 = 841.666666666667^0.5 = 29.011491975882
Rounding to the nearest whole number, we have:
Standard deviation = 29
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Answer:
The answer is C. 100
Step-by-step explanation:
Carson is organizing textbooks on his bookshelf. he has a spanish textbook, a math textbook, a history textbook, and a writing textbook. how many different ways can he line the textbooks up on his bookshelf?
Answer:
16
Step-by-step explanation:
Answer:24
Step-by-step explanation:
Indicate in standard form the equation of the line passing through the given points, writing the answer in the equation box below.
M(0,6), N(6,0)
The slope of the line is [tex]\frac{6-0}{0-6}=-1[/tex]. so in point-slope form, the equation of the line is [tex]y=-x+6[/tex].
In standard form, this is [tex]\boxed{x+y=6}[/tex]
Alisha buys 200 books costing £3 each.
She sells 2/5 of the books at £8 each.
Alisha then reduces the price of the remaining books by a quarter.
She then sells some of the remaining books.
Alisha makes £490 profit.
Work out how many books Alisha did not sell?
The number of books Alisha did not sell after making a profit of £490 is 45 books
How to find how many book she sell base on the profit?
She buys 200 books costing £3 each.
Therefore,
cost = 3 × 200 = £600
Hence,
She sells 2/5 of the books at £8 each.
total amount = 2 / 5 of 200 × 8
total amount = 80 × 8
total amount = £640
Alisha then reduces the price of the remaining books by a quarter.
She then sells some of the remaining books.
Therefore,
the remaining book = 120
She sold some of the remaining books.
profit = selling price - cost price
490 = selling price - 600
selling price = 490 + 600
selling price = £1090
Therefore,
the cost of the remaining book she sold = 1090 - 640 = £450
Hence,
let
x = number of book sold
6(x) = 450
x = 450 / 6
x = 75
The number book she did not sell = 120 - 75 = 45
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Please Help I Don't Understand!
Answer:
The triangles are not similar.
Step-by-step explanation:
First, what's all the information we know?
We know we're trying to prove that triangle BAC is similar to triangle DEC.
We know AC=12 and EC =12 (proving 1 side equal).
We know angle BCA and angle DCE or equal.
However, we do not know any information further than this, and there is no postulate/theorem for AS. Therefore, the triangles are not similar.