Find the value of x,y and z
Answer:
x = 95°
y = 40°
z = 95°
Step-by-step explanation:
a = 45° (Vertical angles)y = 40° (corresponding angles)z = 180° - (45° + 40°) (Interior angle sum theorem of a triangle)-> z = 180° - 85°-> z = 95°x = z (vertical angles)-> x = 95°20 points please!!! helpp with functions and average rate of change
Answer:
option C.
Step-by-step explanation:
If we calculate average rate of change of a function over a certain interval, we’re computing the average number of units which the function moves up or down, per unit along on the xx-axis. We might alternatively argue that we’re measuring how much change occurs in our function’s value per unit on the xx-axis.
The equation for average rate of change is -
Δx/Δf =
f(x2) - f(x1) / x2 - x1
Answer:
C k(x)
Step-by-step explanation:
The average rate of change (m) of a function on an interval is the difference between the function values at the ends of the interval, divided by the interval width:
[tex]m_{ab}=\dfrac{f(b)-f(a)}{b-a}\qquad\text{average rate of change on interval $[a,b]$}[/tex]
__
simplificationHere, the interval of concern is the same for all of the functions. It is [a, b] = [0, 2] so the denominator of this fraction is 2-0 = 2 for all of the functions. That means we can determine the greatest average rate of change by simply looking at the differences f(2) -f(0) for each of the functions.
amount of changeA. j(2) -j(0) = 3(1.6²) -3 = 4.68
B. g(2) -g(0) = 25/2 -8 = 9/2 = 4.5
C. k(2) -k(0) = 9 -4 = 5 . . . . . . . . . . greatest amount of change
D. f(2) -f(0) = 1.5(2²) -1.5 = 4.5
solutionThe function k(x) has the greatest average rate of change over the interval [0, 2].
Write the quadratic equation whose roots are 3 and 1, and whose leading coefficient is 1
Answer:
x² - 4x + 3 = 0
Step-by-step explanation:
given roots x = a and x = b then the corresponding factors are
(x - a) and (x - b)
the equation is then the product of these factors , that is
(x - a)(x - b) = 0
given
roots x = 3 and x = 1 , then factors are (x - 3) and (x - 1) , then
(x - 3)(x - 1) = 0 ← expand factors using FOIL
x² - 4x + 3 = 0
help ! i have no idea what to do
Some people took part in a game. The frequency shows information about their scores. Score Frequency 1 - 7 13 8 - 10 14 11 - 15 18 16 - 20 6 21 - 35 13 36 - 50 19 Estimate the mean. Give your answer rounded to 2 decimal places.
The mean is 20.7
What is Mean?Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.
Class Frequency{f} Midpoint of frequency{x} fx
1-7 13 4 72
8-10 14 9 126
11-15 18 13 234
16-20 6 18 108
21-35 13 28 364
36-50 19 43 817
Sum 83 1721
So,
Mean = 1721/83 = 20.7
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The figure below shows a circular park. Its radius is 18 yd.
Circumference
2πr2(18)(3.14)36(3.14)113.04ydArea
πr²π(18)²324π yd²Answer:
Ig u have forgotten about the figure u need to ask it again but with figure
Harry placed blue and green marbles in a bag. Three-quarters
of the marbles are blue. Which of the following could be the
number of blue marbles in the bag?
It would be 5 because three quarters of 20 would be 15, and 5 would be the remainder.
Step-by-step explanation:
Sorry if its wrong I cant see the answer choices
7 is what percent of 154?
Answer: 10.78
Step-by-step explanation:
The lenght of a rectangle is 50cm its diagonal is 51 cm worl out the area of the rectangle A=LxW
There is an infinite number of length-width pairs that will result in a diagonal value of c.
Let a = the length. This is unknown.
Let b = the width. This is unknown.
Let c = the diagonal. This is a known value.
We have a right triangle with side a, side b, and hypotenuse c.
Since this is a right triangle, we will use the Pythagorean Theorem.
What is the Pythagoras theorem?
The Pythagorean Theorem is
[tex]c^2 = a^2 + b^2.[/tex]
Rearranging this formula gives
[tex]a^2 = c^2 - b^2[/tex]
And,[tex]a = \sqrt{(c^2 - b^2)}[/tex]
Now, if you chose a value for the width, b, then you can compute the corresponding for the length, b, since c is a known value. If you chose another value for the width, you can compute the length value corresponding to your width value.
There is an infinite number of length-width pairs that will result in a diagonal value of c.
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One way to prove this quadrilateral is a square is by calculating the slopes of its sides and the slopes of its diagonals.
If we can prove that it has 2 pairs of parallel sides, one pair of consecutive sides perpendicular and perpendicular diagonals, then the quadrilateral shown ab
By examining it we found that:
If your answer is a fraction enter is as a fraction. Example: To enter negative one fifth type: -1/5
a. Slope of CB is
b. Slope of DA is
so DA is parallel to CB
c. Slope of CD is
so CD is perpendicular to CB
d. Slope of BD is
e. Slope of CA is
so CA is perpendicular to BD
A slope is also known as the gradient of a line. Slope of a line or straight object is the ratio of how much amount of rise occurs in correspondence to the increment in the run.
What is Slope?A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
How to find the slope?Slope of a line or straight object is the ratio of how much amount of rise occurs in correspondence to the increment in the run.
Thus, we get:
Slope = rise/ run
The slope of any line can found by finding the ratio of the vertical distance to horizontal distance between two ends. Therefore, the blanks can be filled as shown below.
The Slope of CB is 4/3,The Slope of DA is 4/3, so DA is parallel to CBThe Slope of CD is (-3/4), so CD is perpendicular to CBThe Slope of BD is -7The Slope of CA is 1/7, so CA is perpendicular to BD.Learn more about Slope of Line:
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PLEASE HURRY I NEED TO FINISH
Answer: No
Step-by-step explanation:
A proportional relationship can be represented by y = kx, for some constant k. This means the graph should be a line, which is not shown. Thus, the graph does not represent a proportional relationship.
Answer:
no
Step-by-step explanation:
because it does not represent any propotional relationship.
Harry used 0.75 liters of gasoline on the first day of his trip, 1.5
liters on the second, 2.25 liters on the third, and 3 liters on the
fourth. Write a function to describe the sequence, and then use
the function to predict the amount of gasoline used on the
eighth day of his trip.
Oy=0.5n; 4 L
O y = 0.75n; 6 L
Oy=n; 8L
Oy=1.5m; 12 L
The function is to describe the sequence and the amount of gasoline used on the eighth day of his trip will be y = 0.75n and 6 L respectively. Option B is correct.
What is an arithmetic sequence's sum of terms?Each consecutive term in an arithmetic sequence has a common constant difference.
The sequence of the liters of gasoline on each day is;
0.75,1.5,2.25,3
The given series is an arithmetic series with a common difference of 0.75
Common difference,d=0.75
First-term,a=0.75
The amount of gasoline used on the eighth day of his trip.
The nth term of the arithmetic sequence is;
[tex]\rm a_n = a+(n-1)d \\\\ \rm a_8 = 0.75+(8-1)0.75 \\\\ a_8 = 6[/tex]
The 8th term of the arithmetic sequence is 6L.
The function is to describe the sequence and the amount of gasoline used on the eighth day of his trip will be y = 0.75n and 6 L.
Hence, option B is correct.
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Find the value of x.
A. 6.6
B. 5.5
C. 8.8
D. 1.1
Answer:
the answer is D
Step-by-step explanation:
the answer is D because the
Answer: d
Step-by-step explanation:
Help asap show your work!
Answer:
x = 4
Step-by-step explanation:
List the angles in triangle JKL in order from largest to smallest.
Answer:
answer is B
Step-by-step explanation:
We know,
Opposite of a big arm has a big angle....the same way you can find the next two....
as 18>16>14
give the center and radius of the circle defined by the following equation (x - 1)^2 + y^2 = 5
the general equation of a circle is given by (x-a)^2+(y-b)^2=r^2
where (a,b) are the coordinates of the center.
from the given equation then (1,0) will be the center of the circle. and for the radius of the cirlce equate r^2 with 5...r^2=5 therfore r=
[tex] \sqrt{5} [/tex]
.
B is decreased by 40% and decreased again by 40%. What is the result?
10 pts for anyone who helps!
Answer:
result is 20%
Step-by-step explanation:
initially B was 100%
therefore 100% - 40%
=60% remaining
60% - 40%
= 20%
Answer:
The answer is 0.36b
Step-by-step explanation:
b-0.4xb=b-0.4b=0.6b
0.6b-0.4(0.6b)=0.6b-0.24=0.36b
A vacuum cleaner costs $140. If the sales tax rate is 6%, what is the amount of sales tax? What is the total cost of the vacuum cleaner with sales tax?
Solve for x.
3x +1=7
6
Ox=12
O x = 4
x = 16
Answer:
x = 2
Step-by-step explanation:
3x + 1 = 7
3x = 7 – 1
3x = 6
x = 6/3
x = 2
-------------------------------------------------------------------------------------------------------------
Answer: [tex]\textsf{x = 2}[/tex]
-------------------------------------------------------------------------------------------------------------
Given: [tex]\textsf{3x + 1 = 7}[/tex]
Find: [tex]\textsf{Solve for x}[/tex]
Solution: In order to isolate x we need to subtract 1 from both sides and the divide both sides by 3.
Subtract 1 from both sides
[tex]\textsf{3x + 1 - 1 = 7 - 1}[/tex][tex]\textsf{3x = 7 - 1}[/tex][tex]\textsf{3x = 6}[/tex]Divide both sides by 3
[tex]\textsf{3x/3 = 6/3}[/tex][tex]\textsf{x = 6/3}[/tex][tex]\textsf{x = 2}[/tex]Therefore, the value of x is equal to 2.
consider the series 1/4 1/16 1/64 1/256 which expression defines sn
This is a geometric progression
Common ratio=1/16÷1/4 =1/4first term =a=1/4So
The general formUla is
[tex]\\ \rm\Rrightarrow a(n)=ar^{n-1}[/tex]
[tex]\\ \rm\Rrightarrow a(n)=\dfrac{1}{4}\left(\dfrac{1}{4}\right)^{n-1}[/tex]
Answer:
[tex]\displaystyle \lim_{n \to \infty} \dfrac{1}{3}\left(1-\left(\dfrac{1}{4}\right)^n\right)[/tex]
Step-by-step explanation:
Series: the sum of the elements of a sequence.
Therefore, as the numbers have been defined as a series and we need to find [tex]S_n[/tex]:
[tex]\dfrac{1}{4}+\dfrac{1}{16}+\dfrac{1}{64}+\dfrac{1}{256}+...[/tex]
First determine if the sequence is arithmetic or geometric.
If it is an arithmetic sequence, there will be a common difference between consecutive terms.
if it is a geometric sequence, there will be a common ratio between consecutive terms.
From inspection of the terms, we can see that there is a common ratio of 1/4, as each term is the previous term multiplied by 1/4, so it is a geometric series.
Sum of the first n terms of a geometric series:
[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]
Given:
[tex]a=\dfrac{1}{4}[/tex]
[tex]r=\dfrac{1}{4}[/tex]
Substitute the values of a and r into the formula:
[tex]\implies S_n=\dfrac{\frac{1}{4}\left(1-\left(\frac{1}{4}\right)^n\right)}{1-\frac{1}{4}}[/tex]
[tex]\implies S_n=\dfrac{\frac{1}{4}\left(1-\left(\frac{1}{4}\right)^n\right)}{\frac{3}{4}}[/tex]
[tex]\implies S_n=\dfrac{1}{3}\left(1-\left(\dfrac{1}{4}\right)^n\right)[/tex]
Therefore:
[tex]\displaystyle \lim_{n \to \infty} \dfrac{1}{3}\left(1-\left(\dfrac{1}{4}\right)^n\right)[/tex]
Type the correct answer in the box. Round off your answer to the nearest integer.
Angle A and Angle C are right angles. m
Answer:
59
Step-by-step explanation:
[tex] \sqrt{ {6}^{2} + {5}^{2} } = \sqrt{36 + 25} = \sqrt{61} [/tex]
[tex] \cos(p) = \frac{4}{ \sqrt{61} } [/tex]
[tex]p = {cos}^{ - 1} \frac{4}{ \sqrt{61} } = 59[/tex]
Make sure your calculator is in degree mode.
(x+y)(x+6y) pls help me solve question pls and pls also give explanation if possible
Step-by-step explanation:
[tex] = (x + y)(x + 6y)[/tex]
[tex] = x \times x + x \times 6y + y \times x + y \times 6y[/tex]
[tex] = {x}^{2} + 6xy + xy + 6 {y}^{2} [/tex]
[tex] = {x}^{2} + 7xy + 6 {y}^{2} [/tex]
9)
Josh rounded the number 36 796 to the nearest ten, to the nearest hundred, to the nearest
thousand, and to the nearest ten-thousand.
Which two roundings should have produced the same number?
Answer:
800 is the answerrrr....
three interior angles of a quadrilateral measure 55 , 117 , and 120. what is the measure of the fourth interior angle?
The measure of the fourth interior angle of the quadrilateral will be 68°.
What is the interior angle of a quadrilateral?Angles in a quadrilateral are the four angles that occur at each vertex within a four-sided shape, these angles are called interior angles of a quadrilateral. The measure of interior angles of a quadrilateral always sums up to 360°.
Let the measure of the fourth interior angle be x.
x + 55° + 117° + 120° = 360°
x + 292° = 360°
x = 68°
Hence, the fourth interior angle will be 68°.
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Answer:68
Step-by-step explanation:
I got it right on e2020
Identify the figure that portrays the translation of the given preimage as indicated by the direction arrow.
Preimage: (first photo)
The parallelogram will translate along the arrow and reach the head of the arrow.
The translation is a category of motion in which one body moves along towards a particular direction and reaches a particular point.
In translation, the rotational motion is not present. Also, the translational motion is a one-dimensional motion.
In the given figure, the parallelogram is present at the tail of the arrow.
The arrow depicts the direction of the translational motion.
So, the parallelogram will reach the end of the arrow as shown in the picture present in the attachment.
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(Giving 75 points, Please do not answer if you do not know. Wrong answers will result in me reporting them.)
If OP=17 and QP=6, what is OQ? First, complete the Segment Addition Postulate for this problem.
OQ+QP= ?
Fill in what you know and solve for OQ
OQ= 11
Answer: Answers attached in an image.
Step-by-step explanation: Work is attached on the image.
Answer:
OQ = 11
Step-by-step explanation:
Segment Addition Postulate
If a third point B lies on a line segment with endpoints A and C, then AB + BC = AC
Given:
OP = 17QP = 6Q is the point on the line segment OP, so:
⇒ OQ + QP = OP
Substitute the given values of OP and QP to find OQ:
⇒ OQ + 6 = 17
⇒ OQ + 6 - 6 = 17 - 6
⇒ OQ = 11
find the value of x
Answer:
1 = 120
2 = 120
Step-by-step explanation:
17. What is the value of x in the rhombus
below?
A
C
(x+ 40)
B
3x⁰
D
18
Answer:
Answer is 12.5 degrees
Answer:
x = 12.5
Step-by-step explanation:
4(x + 40) + 4(3x) = 360
4x + 160 + 12x = 360
16x + 160 = 360
16x = 200
x = 12.5
50 points PLEASEE I NEED THIS IN MINUTES sytem of functions thingg
Answer:
is b i think
hope my answer help you
x = 4 is a solution to x + 2 > 5.
true or false
Answer:
False
Step-by-step explanation:
Beacuse the equation is 4+2>5 with equals 7
Answer:
x = 4 ...In the equation, substitute 4
4 + 2 > 5
6 > 5
(This sign > means greater than)
(This sign < means less than)
In this case of the equation, 6 > 5, it's True
