Answer:
-4
Step-by-step explanation:
f(x) = 4x - 12
Let x=2
f(2) = 4*2 - 12
= 8-12
= -4
The moon has a diameter of approximately 2,200 miles. If the circumference of a circle can be found using the formula C = πd, what is the circumference of the moon? (Use 3.14 for π) A. 690,800 miles B. 6,908 miles C. 345,000 miles D. 3,454 miles
Answer:
The circumference is 6908 miles.
Step-by-step explanation:
C=πd
C=π*2200
C=3.14*2200
C=6908
Option B is correct.
Answer:
b
Step-by-step explanation:
Square ABCD has a side length of 12 centimeters . Find the area of the square Type a numerical answer in the space provided Do not include units or spaces in your answer
Answer:
144
Step-by-step explanation:
Area of a square is [tex]s^2[/tex]
The side length is 12 cm.
[tex]12^2=144[/tex]
Therefore, the area of the square is [tex]144 \: cm^2[/tex].
A group of students where asked about the number of e-mails they each send that day. The results are: 0, 1, 1, 2, 3, 3, 4, 4, 6, 7, 8, 10, 11, 14, and 15. Which histogram correctly shows the data set?
Answer:
Choice D
Step-by-step explanation:
After writing the data down seperate the values according to the x-axis on the graphs. You will find that 6 people chose between 0 to 3, 4 people chose between 4 to 7, 3 people chose between 8 to 11 and 2 people chose between 12 to 15.
I could use some more help
Answer:
[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]
[tex]B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]
Required
2A - 4B
To solve 2A - 4B, we first multiply matrix A by 2 and matrix B by 4
So, if
[tex]A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]
[tex]2A = 2 *\left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]
[tex]2A = \left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right][/tex]
If
[tex]B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]
then
[tex]4B = 4*\left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]
[tex]4B = \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]
So; 2A - 4B becomes
[tex]\left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right] - \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-2-28&18-(-4)&4-(-4)\\20-24&-20-(-16)&4-(-12)\\-10-(-40)&12-40&-10-(-28)\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-30&18+4&4+4\\20-24&-20+16&4+12\\-10+40&12-40&-10+28\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]
Hence, 2A - 4B is equivalent to
[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]
What does an individual’s effective tax rate indicate?
A.
the average income earned
B.
the average tax rate
C.
the minimum tax rate
D.
the next year’s tax rate
Answer:
the answer is B
Step-by-step explanation:
100 on the plato test
Answer:
A. the average income earned
B. the average tax rate
C. the minimum tax rate
D. the next year's tax rate
Step-by-step explanation:
Plato Users
What is the value of x?
Answer: 98 is your answer
Step-by-step explanation:
Find the sum of the first 16 terms in an arithmetic series where a1 = 2, and the common difference is d=2. Question 4 options: A) 272 B) 240 C) 360 D) 306
Answer:
A) 272
Step-by-step explanation:
[tex]S_{n}=\frac{n}{2}*[2a + (n-1)d]\\\\s_{16}=\frac{16}{2}[2*2+15*2]\\\\ =8*[4+30]\\\\=8*34\\=272[/tex]
Answer:
272
Step-by-step explanation:
Math help asap!
[Function Inverses]
Answer:
It's (B) [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Hope this helped you!
Answer:
f^-1(8) = 3/2
Step-by-step explanation:
f(x) = 2x + 5
y = 2x + 5
x = 2y + 5
2y = x - 5
y = (x - 5)/2
f^-1(x) = (x - 5)/2
f^-1(8) = (8 - 5)/2
f^-1(8) = 3/2
What are the coordinates of M' after triangle MNO is reflected over the y-axis, and rotated 90 degrees clockwise with
the origin as the center of rotation?
Answer:
I'm not sure, but I think it is (0, -6).
Alex drives at an average speed that is 3/4 of the average speed that Roy's train travels. Alex takes 40 minutes to travel 65 km in her car. Roy travels for 1 hour and 15 minutes on his train. How far does Roy travel to 2 dp?
Answer:
Distance = 162.5 to 2dp.
Step-by-step explanation:
Alex car drives 65km = 40mins we round up to 1hr
= 1/2 x 65 + 65 = 32.5 +65 = 97.5 km p/h
Roy is 1/4 faster (As Alex speed is 3/4 of Roy)
To find 3/4 we divide by 3 then, add the 97.5 km etc..
97.5/3 = + 32.5km = 130 km/ph
To check we only have to divide by 4
130 / 4 = 32.5
We know 32.5 is 1/4 we can add this on as 15minutes.
130 km = 1hr +
32.5 km = 15 mins
Distance = 162.5 km
Answer:
162.50 km
Step-by-step explanation:
Alex: 40 minutes for 65 km
speed = distance/time = (65 km)/(40 min) * (60 min)/(1 hr) = 97.5 km/h
Alex's speed = 3/4 of Roy's speed
Roy's speed = (Alex's speed)/(3/4) = (97.5 km/h)/(0.75) = 130 km/h
speed = distance/time
distance = speed * time
time = 1 hour + 15 minutes = 1 hour + 15/60 hour = 1.25 hour
distance = 130 km/h * 1.25 hour = 162.50 km
What are the coordinates of the image of R for a dilation with center (0,0) and scale factor 3?
Answer:
(3, -3)
Step-by-step explanation:
If a point is dilated about the origin rule to be followed,
(x, y) → (kx, ky)
where k is a scale factor by which the point is being dilated.
If a point R having coordinates (1, -1) is dilated by scale factor of 3, coordinates of the image will be [3×1, 3(-1)]
Therefore, coordinates of the image R' will be (3, -3)
What is the end behavior of the function f(x)=54x2? As x→∞, f(x)→−∞ As x→−∞, f(x)→−∞ As x→∞, f(x)→∞ As x→−∞, f(x)→∞ As x→∞, f(x)→∞ As x→−∞, f(x)→−∞ As x→∞, f(x)→−∞ As x→−∞, f(x)→∞
Answer:
3f(x)
3x^2
12
-x+6
0
Step-by-step explanation:
Fashoo
(1−cos^2 x )·(1+tan^2 x)
Answer:
[tex](1-cos^2 x ).(1+tan^2 x) = tan^2x[/tex]
Step-by-step explanation:
Given
[tex](1-cos^2 x ).(1+tan^2 x)[/tex]
Required
Solve
[tex](1-cos^2 x ).(1+tan^2 x)[/tex]
In trigonometry;
[tex]1 - cos^2x = sin^2x[/tex]
So, make substitution
[tex](1-cos^2 x ).(1+tan^2 x)[/tex] becomes
[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(1+tan^2 x)[/tex]
Also; in trigonometry:
[tex]1 + tan^2x = sec^2x[/tex]
Make another substitution
[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(sec^2 x)[/tex]
Recall that [tex]secx = \frac{1}{cosx}[/tex]
So;
[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(sec^2 x)[/tex] becomes
[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(\frac{1}{cos^2 x})[/tex]
[tex](1-cos^2 x ).(1+tan^2 x) = \frac{sin^2 x }{cos^2 x}[/tex]
[tex](1-cos^2 x ).(1+tan^2 x) = (\frac{sin x }{cosx})^2[/tex]
In trigonometry;
[tex]tan x = \frac{sin x}{cos x}[/tex]
[tex](1-cos^2 x ).(1+tan^2 x) = tan^2x[/tex]
The expression cannot be further simplified
whats the difference between a sequence and a series?
Answer:
A sequence is defined as an arrangement of numbers in a particular order. On the other hand a series is defiend as the sum of the elements of a sequence!
Susan wants to make 2 square flags to
sell at a crafts fair. The fabric she wants
to buy is 5 meters wide. She doesn't
want any fabric left over. What's the
least amount of fabric she should buy?
Answer:
10 meters
Step-by-step explanation:because they are square and they would have to be 5 meters long and she dose not want any left over so...
For an experiment, Marie brought a container filled with 30 grams of snow into a warm environment. After 5 minutes, 21% of the snow had melted. How many grams of snow were remaining in the container after the 5 minutes?
ΔABC has been translated right to create triangle ΔXYZ. Based on this information, which of the following is a true statement? answers: A) ≅ B) ≅ C) ∠A ≅ ∠C D) ∠B ≅ ∠X
Answer:
None. (or B)
Step-by-step explanation:
A) AC≅ZY
B) AZ≅
C) ∠A ≅ ∠C
D) ∠B ≅ ∠X
Options C and D are not true and Options A is wrong and B is incomplete but using process of elimination, the answer is probably B.
The resulting information will be ∠ A ≅ ∠ X, ∠ B ≅ ∠ Y and ∠ C ≅ ∠ Z and AB ≅ XY, BC ≅ YZ and AC ≅ XZ
What is translation transformation?A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
Given that, Δ ABC has been translated right to create triangle Δ XYZ
We know that in translation transformation, in translation, only the position of the object changes, its size remains the same.
That means Δ ABC ≅ Δ XYZ Therefore, we get,
Congruent parts are;
Angles:-
∠ A ≅ ∠ X,
∠ B ≅ ∠ Y and
∠ C ≅ ∠ Z
Side:-
AB ≅ XY,
BC ≅ YZ and
AC ≅ XZ
Hence, The resulting information will be ∠ A ≅ ∠ X, ∠ B ≅ ∠ Y and ∠ C ≅ ∠ Z and AB ≅ XY, BC ≅ YZ and AC ≅ XZ
For more references on translation transformation, click;
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Help please and thank you
Answer:
73.72 ft Squared
Step-by-step explanation:
First you need to find the area of the rectangle the area of rectangle is 8x10=80. Then You take that 80=3.14x2. then you find the area by dividing it. so...
1.) 80=3.14x2
3.14x2=6.28 80=6.28 (Then you divide 6.28 by 80)
80 80
Which representation represents a proportional relationship? A x 2 4 6 8 y 6 8 10 12 B y = 2 x + 2 C On a coordinate plane, a line goes through points (negative 1, 0) and (0, 1). D x 4 7 12 15 y 8 14 24 30 A B C D
Answer:
(D)
Step-by-step explanation:
A proportional relationship is in the form of y=kx where k is the proportionality constant.
From the given options:
Consider the pairs (x,y) in Option D
(4,8),(7,14)(12,24),(15,30)
When y=8, x=4, Substituting into y=kx, we have: 8=4k and k=2When y=14, x=7, Substituting into y=kx, we have: 14=7k and k=2When y=24, x=12, Substituting into y=kx, we have: 24=12k and k=2When y=30, x=15, Substituting into y=kx, we have: 30=15k and k=2We can see that the proportionality constant is equal for the four pairs. Therefore, the set of pairs in Option D represents a proportional relationship.
Answer:
the correct answer is D
Step-by-step explanation:
just got it right on edge 2020
What is the area of the shaded part of the circle that has a diameter of 8 mm? Use 3.14 for
4 mm
8 mm
O 16mm?
O 32mm?
O 34 24 mm
50.24 mm?
Answer: 34.27 sq. mm.
Step-by-step explanation:
Area of a triangle = hb / 2
= 8 x 4 / 2
= 32 / 2 = 16 mm
Area of the circle = πr^2
= π x 4^2
= 50 27 sq. mm.
Area of the shaded part
= 50.27 - 16
= 34.27 sq. mm
Answer: the answer is c, 34.24 mm
Step-by-step explanation: I just did the test
PLEASEEEEEE HELP ME 40 POINTS :((((((!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
hi
Step-by-step explanation:
a ferris wheel goes around once every 20 seconds . How many times will a rider be ag thetop during an 8-minuteride?
A.23
B.24
C.25
D.160
Answer:
The answer is B.
Step-by-step explanation:
There are three 20 second time periods in 1 minute. Three times eight is equal to 24.
Help will give brainliest
Answer:
70
Step-by-step explanation:
Answer:
70 fewer refrigerators than television
Step-by-step explanation:
Classify the triangle by its angles. answers: A) Obtuse triangle B) Acute triangle C) Right triangle D) Equilateral triangle
Answer:
B) Acute triangle
Step-by-step explanation:
In acute triangles, all of the angles are less than 90°. This is true for this triangle :)
I hope this helps!!
Answer:
B) Acute triangle
Step-by-step explanation:
All the angles are less than 90 degrees so all the angles are acute
(a) The perimeter of a rectangular parking lot is 332 m.
If the width of the parking lot is 75 m, what is its length?
Length of the parking lot:
m
Answer:
Step-by-step explanation:
Perimeter of the rectangle = 332m
Perimeter of a rectangle = 2(L+b)
Breadth = 75m
= 2 ( L + 75) = 332
2L + 150 = 332
2L = 332-150
L = 182/2
L= 91m
Consider the density curve below.
0.25
х
1
2
3
4
5
Find the percent of the area under the density curve where x is less than 4.
Answer:
Check Explanation.
Step-by-step explanation:
Although, the density curve for this question is missing and isn't available online, I would use an example of another density curve to explain how this could be easily done.
From the density curve attached to this question, the total area under the curve is the are of the triangular shape formed by this curve with the x-axis.
Total Area under the curve = ½×base×height
= ½ × (5-1) × 0.5 = 1 square unit
Area under the density curve where x is less than 4 is a trapezium.
Area of a trapezium = ½ (a+b) h
For the area under the density curve where x is less than 4,
a = 0.5, b = (0.5/4) = 0.125, h = (4-1) = 3
Area under the density curve where x is less than 4 = ½ (0.5+0.125) × 3 = 0.9375 square unit
In terms of the total area, Area under the density curve where x is less than 4 covers
(0.9375/1) × 100% = 93.75%
Hope this Helps!!!
PLEASE HELP! WILL MARK BRAINLIEST! THANK YOU! How many 2-digit numbers are among the terms of the arithmetic sequence 2, 7, 12, 17, ...?
Answer:
18 2-digit numbers.
Step-by-step explanation: There is
12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97. :)
hope this helps
Answer:
I believe the answer is 18 2 digit numbers
Step-by-step explanation:
I just counted them :)
12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97
These are all the 2 digit numbers!
If ∠ABC and ∠CBD are supplementary angles, then m∠ABC + m∠CBD = 180° represents the definition of Question 2 options: A) complementary angles. B) supplementary angles. C) triangle sum. D) congruence.
Answer:
I would think it is supplementary.
Step-by-step explanation:
If 2 angles equal 180 degrees, then they are supplementary.
On a number line, the distance from zero to -8 is 8 units. Which equation demonstrates this concept? A. 82 = 64 B. |-8| = 8 C. |-8| = -8 D. 0 + 8 = 8
Answer:
Option B
Step-by-step explanation:
The absolute value of a number is how far a number is from zero. We can use ' | | ' to represent the absolute volume of a number. The distance, or absolute value, of -8 is 8.
We can represent this by writing:
|-8| = 8
Option B should be the correct answer.
Answer:
B
Step-by-step explanation:
The absolute value of a number means the distance from 0.
For example, |-2| is 2 units from 0.
|-8| = 8
-8 is 8 units from 0.
Line j is a straight line. Line j is a straight line. 2 lines come out of the line to form 4 angles. From top left, clockwise, the angles are: x, y, z, w. Which equation represents the relationship between the measures of Angle w and Angle z? Measure of angle w = measure of angle z Measure of angle w + measure of angle z = 90 degrees Measure of angle w + measure of angle z = 100 degrees Measure of angle w + measure of angle z = 180 degrees
Answer:
c
Step-by-step explanation:
In the given line the relationship between angle w and z is Measure of angle w + measure of angle z = 180 degrees.
What is a supplementary angle?This is the type of angle that when measured, two of the angles would sum up to 180 degrees.
The supplementary angle is the sum of angle w + angle z = 180 degrees. Hence c is correct.
Read more on supplementary angles here:
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