Answer:373248
Step-by-step explanation:
Answer:
Step-by-step explanation:
12*6=72
72^3=373248
Hattie drew a box plot of annual rainfall in some cities in the world. Select all the statements that are true about the data in the box plot.
Rainfall anually table data
Then
Option A)
Half of the data are between 6 and 18
TRUE , because there are 8/2 = 4 data in the box plot
Option B)
Data point 27 ,could be an outlier
FALSE, because 27 is a black point. It means it belongs, is not out
Option C)
More points between 6,9 that between 9,18
FALSe,. Area between 6,9. Is smaller than area between 9,18
Option D)
Data are less spread out to the left
TRUE, because box plot is ubicated at left
Option E)
Only one data point is less than 6
TRUE, is data point 3
Prealgebra- Write an equation of the line that passes through the points(Question in photo) (Can only attach one photo at time, so for graphing part of question, i will send the photo)
Given:
Point 1 → (-5, 0.6)
Point 2 → (5, -2.4)
Find: the equation of the line and its graph
Solution:
To help us determine the equation of the line passing through the given points, let's use the Two-Point Form formula.
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]Let's plug into the formula above the coordinates of the two points.
[tex]y-0.6=\frac{-2.4-0.6}{5-(-5)}(x-(-5))[/tex]Then, solve.
[tex]y-0.6=\frac{-3}{10}(x+5)[/tex]Multiply -3/10 by the terms inside the parenthesis.
[tex]y-0.6=-\frac{3}{10}x-1.5[/tex]Add 0.6 on both sides of the equation.
[tex]y-0.6+0.6=-\frac{3}{10}x-1.5+0.6[/tex][tex]\begin{gathered} y=-\frac{3}{10}x-0.9 \\ or \\ y=-0.3x-0.9 \end{gathered}[/tex]Hence, the equation of the line passing through the given points in slope-intercept form is y = -0.3x - 0.9.
In the equation, the slope is -3/10 while the y-intercept is -0.9.
Since the slope is negative, the line must be leaning to the left. Since the y-intercept is -0.9, the line must cross the y-axis or the vertical line at -0.9. Hence, the graph of the equation is:
3.21. a causal lti system has the following system function:(2(a) what is the roc for h(z)? (b) determine if the system is stable or not. (e) determine the difference equation that is satisfied by the input x[n) and the output yin. (d) use a partial fraction expansion to determine the impulse response h[n].
The ROC essentially specifies the parameters under which the system's impulse response, h(n), will converge.
What is meant by the roc for h(z)?When applying the z-transform on the sequence h, the ROC concept is applied to the function H(z) (n). The ROC essentially specifies the parameters under which the system's impulse response, h(n), will converge. Neither X(z), the input, nor Y(z), the output, are involved in the ROC.
The region (regions) where the z-transform converges is known as the region of convergence (ROC). We can uniquely determine the inverse z-transform thanks to ROC. Let's first think about some examples. The unit sample δ(n)has z-transform 1 , hence ROC exists all the z plane .
The Registrar of Companies assigns the company registration number, or CIN number as it is known in India (ROC). The Ministry of Corporate Affairs oversees the ROC, which is present in several Indian states. It is utilized to locate the essential information for every firm that is registered in India.
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What is (3 x 10^7) (3 x 10^8)?
[tex] = 3 \times 3 \times {10}^{7} \times 10^{8} \\ = 9 \times {10}^{7 + 8} \\ = 9 \times {10}^{15} \\ [/tex]
NOTE YOU CAN WRITE IT IN FULL BUT I CHOSE NOT TO BECAUSE IT'S LARGE .
GOODLUCK
A small square has an area of 40 inches squared. A large square has sides that are 8 times longer than the small square. What is the area of the large square?
Solution
Given that
Area f small square = 40 inches squared.
[tex]\begin{gathered} a=40 \\ \\ \text{ since a}=l^2 \\ \\ \Rightarrow40=l^2 \\ \\ \Rightarrow l=\sqrt{40} \end{gathered}[/tex]Let the side of the large square be L
Since the large square has sides that are 8 times longer than the small square
=> L = 8l
[tex]\begin{gathered} \Rightarrow L=8l \\ \\ \Rightarrow L=8(\sqrt{40}) \end{gathered}[/tex]Hence, the area of Large square is;
[tex]A=L^2=(8\sqrt{40})^2=64\times40=256[/tex]Hence, the area of the large square is: 256 inches squared.
In anatomy, a student learned that the average resting heart rate is between 60 and 100 beats per minute. The student decided to record the heart rate of people over five minutes while waiting in line at the pharmacy. The dot plot shows the results.
The correct option regarding the symmetry of the distribution is given as follows:
The data is skewed right, with fewer values on the right end of the graph. The values at 62 and 89 are possible outliers. The data fits within the average of 60 to 100 beats per minute.
How to find the symmetry of the distribution?To find the symmetry of the distribution, the mean and the median need to be calculated and compared, if they are equal or which is greater.
A dot plot shows the number of times that each observation appears in the data-set, hence the complete data-set of heart beats per minute is given as follows:
62, 68, 68, 68, 69, 70, 70, 72, 72, 72, 75, 75, 76, 78, 78, 80, 80, 80, 89, 89.
The mean is the sum of all these observations divided by the number of observations, which is of 20, hence:
Mean = (62 + 3 x 68 + 69 + 2 x 70 + 3 x 72 + 2 x 75 + 76 + 2 x 78 + 3 x 80 + 2 x 89)/20 = 74.55.
The median is the middle value of the data-set, the value which 50% of the observations are less than and 50% are greater than. The cardinality of 20 in this data-set is an even number, hence the median is the mean of the 10th and of the 11th element, as follows:
Median = (72 + 75)/2 = 73.55.
When the mean is greater than the median, as is the case in this problem, the distribution is right skewed, which is the reason for the correct option.
Missing InformationThe problem is given by the image at the end of the answer.
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how many 1/5 inch pieces can be cut from a piece of ribbon 7/20 of an inch long.
1) Gathering the data
1/5 inch
7/20 inches long
2) Let's them divide, 7/20 by 1/5 inches
When divide fractions, we multiply the reciprocal of the second fraction
and if possible we can simplify
8/13 x 3 =
SHOW YOUR WORKl
8/13 x 3/1 = 24/13
24 - 13 =11
So, simplified answer is 1 11/13 or 24/13
Hope this helps!
giving brainliest to first person who answers!
Evaluate.
7 x 5 + 4² − 2³ / 4
i need help with the image below
Answer:
A. k ≥ 8.14
Step-by-step explanation:
Hope this helps! :))
How is 6 divided by (-3) equals -2
Since a positive number divide or multiplies a negative number
Then the answer will be a negative number
So:
6 / -3 = -2
6 is a positive number and it's being divide by -3 which is a negative number
So the answer is -2
What is the result when the number 88 is decreased by 69%? Round your answer to the nearest tenth.
suppose that 3 j of work is needed to stretch a spring from its natural length of 34 cm to a length of 40 cm. (a) how much work is needed to stretch the spring from 36 cm to 38 cm? (round your answer to two decimal places.)
Work done in stretching spring from 36 cm to 38 cm is 0.333J.
The work needed to stretch a spring is given by the formula mentioned below:
[tex]W_{s}[/tex] = (1/2) K × [tex]x^{2}[/tex]
Here, k is spring constant and x is the elongation.
So, x = [tex]x_{f} - x_{i}[/tex]
When spring is stretched from 40 cm to 34 cm
x = 40 - 34 = 6cm = 0.06 m
We need to know the spring constant so that we can calculate work.
3 = (1/2) K × [tex](0.06)^{2}[/tex]
K = 1666.67
Now, when spring is stretched from 36 cm to 38 cm
x = 38 - 36 = 2 cm = 0.02 m
[tex]W_{s}[/tex] = (1/2) × (1666.67) × [tex](0.02)^{2}[/tex]
[tex]W_{s}[/tex] = 0.333J
So, 0.333J work is done in stretching spring from 36 cm to 38 cm.
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Use the graph below to enter a single translation rule. Complete the rule that describes the translation, 819 (x,y) - (Type an ordered pair.)
Answer:
The translation rule is;
[tex](x,y)\rightarrow(x+2,y+5)[/tex]Explanation:
Given the graph attached;
Let us pick a corresponding edge(point) on the preimage and image respectively;
[tex]\begin{gathered} \text{Preimage}=(0,1) \\ \text{image}=(2,6) \end{gathered}[/tex]The change on the x and y axis is;
[tex]\begin{gathered} \text{ x axis}=2-0=+2 \\ \text{ y axis=6-1 =+5} \end{gathered}[/tex]Therefore, the translation rule is;
[tex](x,y)\rightarrow(x+2,y+5)[/tex]this exercise refers to choosing two cards from a thoroughly shuffled deck. assume that the deck is shuffled after a card is returned to the deck. if you do not put the first card back in the deck before you draw the next, what is the probability that the first card is a 10 and the second card is a jack?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
Solve the problem?
Given that a card is selected from a 52-card deck that has been thoroughly shuffled without being replaced, the following card is drawn.
A: The top card is a 4, and B: The next card is an ace.
Probability =A∩B
After this first card is pulled, if 10is drawn, we have 51 cards left with 4 aces in them. This is the probability we need to discover for
P(A). = 10/52
P(B) = number of aces in 51 cards divided by 51, thus = 4/51
Hence A∩B =10/52×10/51
= 100/2652
(From this, we can see that, after changing the card count, A and B are independent.
Additionally, we multiply the probability for both.)
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PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!
What is the standard form of the equation of a quadratic function with roots of 2 and −5 that passes through (1, −3)?
y = −0.5x2 + 1.5x − 5
y = −0.5x2 + 1.5x + 5
y = 0.5x2 + 1.5x − 5
y = 0.5x2 + 1.5x + 5
Answer:
y = 0.5x^2 + 1.5x − 5
Step-by-step explanation:
See attached graph
Point Mis a point of tangency.What is the value of x?446567111°230 x°88M
Answer:
The value of x is 65 degrees.
Explanation:
To solve for x, we use the formula for an angle formed by a tangent and a secant.
[tex]23=\frac{1}{2}(111-x)[/tex]Next, solve the equation for x:
[tex]\begin{gathered} 23\times2=111-x \\ 46=111-x \\ x=111-46 \\ x=65\degree \end{gathered}[/tex]The value of x is 65 degrees.
RS =9y + 2, ST = 2y + 3, and RT = 60
Answer:
y=5
Step-by-step explanation:
RS + ST = RT
9y+2 + 2y+3 = 60
11y + 5 = 60
11y = 55
Y = 5
Point T is located at (2, 5). Point A is located at (-3, 1.5). Point A is the midpoint of segment TB.
Point B is the midpoint of segment TY. What are the coordinates of point Y?
Using the midpoint, the coordinates of point Y in the line segment TY is (-18, -9).
How to use midpoint to find coordinates?Point T is located at (2, 5). Point A is located at (-3, 1.5). Point A is the midpoint of segment TB.
Therefore, the mid point formula can be represented as follows:
(xₙ, yₙ) = (x₁ + x₂ / 2, y₁ + y₂ / 2)
Hence, let's find the coordinates of point B.
(-3, 1.5) = (2 + x₂ / 2 , 5 + y₂ / 2)
2 + x₂ / 2 = - 3
cross multiply
2 + x₂ = -6
x₂ = -6 -2
x₂ = - 8
1.5 = 5 + y₂ / 2
3 = 5 + y₂
y₂ = 3 - 5
y₂ = -2
Therefore, the coordinates of B is (-8, -2)
Hence, let's find the coordinate of point Y. The coordinates of point B is the mid point of segment TY.
(-8, -2) = (2 + x₂ / 2 , 5 + y₂ / 2)
(-8, -2) = (2 + x₂ / 2 , 5 + y₂ / 2)
2 + x₂ / 2 = - 8
-16 = 2 + x₂
x₂ = -18
-2 = 5 + y₂ / 2
-4 = 5 + y₂
-4 - 5 = y₂
y₂ = -9
Therefore, the coordinates of y is (-18, -9)
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How can you show two figures are congruent?
O Use the Third Angles Theorem.
O Use rigid transformations.
O Confirm they have the same symmetries.
If at least two sides and one angle of two triangles are similar, then the triangles are congruent.
What in mathematics is the congruent?
It is claimed that two figures are "congruent" if they can be positioned exactly over one another. Both the shape and size of the bread slices are same if you lay one slice on top of the other. Congruent refers to having precisely the same form and size.Use the Third Angles Theorem for two figures are congruent.
When two of a triangle's angles match up with two of another triangle's angles, the third angle must likewise match up.
If at least two sides and one angle of two triangles are similar, then the triangles are congruent.
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during an election, a group of 4 council members must be selected from a group of 18 people running for these positions. how many such selections are possible?
The possible number of ways of selection by using combination formula is 3060.
What is combination?
A grouping of items where the order in which they were chosen is irrelevant is known as combination.
Given that the number of people in the group is 18. Only 4 people will be member of the council.
The formula of combination is [tex]^{n}C_{r}=\frac{n!}{r!(n-r)!}[/tex] , where r number of objects are selected from n objects.
In the given question the value of n is 18 and the value of r is 2.
Substitute the value of n and r in [tex]^{n}C_{r}=\frac{n!}{r!(n-r)!}[/tex].
[tex]^{18}C_{4}=\frac{18!}{4!(18-4)!}[/tex]
Solve the above expression:
18^C_4 = 18x17x16x15x14/4x14
18^C_4 = 18x17x16x15/4x3x2x1
3060 18^C_4 = 3060
The number of ways such selection is 3060.
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Kinsley opened a savings account and deposited 600.00 the account earns 5%interest compounded quarterly if she wants to use the money to buy a new bicycle in 3 years how much will she be able to spend on the bike
P : Principal amount deposited : $600
r : interest rate : 5 % = 0.05 ( decimal form)
n : number of compounding periods in a year : 4 (4 times in a year)
t : years
Apply compound interest formula:
A= P (1+r/n)^nt
Replace by the values given:
A = 600 (1+0.05/4)^(4.3)
A = 600 ( 1.0125) ^12
A =$ 696.45
Hi can you please help on the q
Answer: 55
Step-by-step explanation: 180-78 to get the complementary angle. 180-157 to get complementary angle. 180-102+23 to get the last angle inside the triangle. 180-125 and get 55
there will be 5 songs and 3 dances in a performance how many distinguished way to arrange the shows if all dances cannot be next to each other? and how many ways to arrange the shows if all dances must be next to each other?
In a performance there will be 5 songs and 3 dances
Total objects 5+3 = 8
Number of ways of arranging this objects is 8! = 40,320...........(1)
If all the dances must be next to each other than all dances should take as an object as 3!
Number of ways of arranging performing taking dance to each other
is = (5+1)! 3!
= 6! 3!
= 4320 ....................(2)
Number of ways to arrange the shows if all dances can not be next to each other = (1) - (2)
= 40320-4320
= 3600 ways
Number of ways to arrange the shows if all the dances must be next to each other is 4320 ways.
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3. Jackson's soccer coach filled the teams' water container with 40 quarts of
water. Since 32 ounces equal 1 quart, how many times can a soccer player fill a
16-ounce water bottle before using all the water?
what is the value of x
Answer:
the value of x is 17
Step-by-step explanation:
7x-32+5x-27=9x-8{sum of 2 interior angles of a triangle is equal to the sum of exterior angle}
therefore x=17
Answer:
x = 17°
Step-by-step explanation:
Hello!
Angle KLM is an exterior angle of Triangle JKL. An exterior angle's measure is equal to the sum of the two remote interior angles.
The two remote interior angles are Angle K and Angle J. We can solve for x by setting up an equation: (7x - 32) + (5x - 27) = (9x - 8)
Solve for x (7x - 32) + (5x - 27) = (9x - 8)7x - 32 + 5x - 27 = 9x - 812x - 59 = 9x - 812x - 51 = 9x12x = 9x + 513x = 51x = 17The value of x is 17°.
find angle x giving your answer to one decimal place
⇒I will use the trig ratios to find the value x.
[tex]\frac{sin(x)}{11cm}=\frac{sin( 38)}{8} \\[/tex]
⇒Moving on solving I will use the cross multiplication
[tex]8sin(x)=11sin(38)\\sin(x)=\frac{11sin(38)}{8} \\x=sin^{-1} (\frac{11sin(38)}{8} )\\x=57,8[/tex]
∴ x=57,8°
Goodluck!!
Question 1 - Write an equation in Standard Form of a line that passes through (-3,-7) and has a slope of 4.
Question 2 - Write an equation in Standard Form of a line that passes through (10,-2) and has a slope of -1/2
Question 3 - Write an equation in Point Slope Form of a line that passes through (-1,8) and has a slope of -3/4
Question 4 - Write an equation in Slope Intercept Form that passes through (-3,11) and (6,-7).
The equation is, 4x - y = -5
The equation is, x + 2y = 6
The equation is, [tex][tex]y = -\frac{3}{4}x + \frac{29}{4}[/tex][/tex]
The equation is, y = -2x + 5
What is standard form of equation of line?
When A and B are not both zero, a line has the usual form Ax + By = C. The standard form of equation with slope and the point is,[tex][tex]y - y_{1} = m(x - x_1)[/tex][/tex] ...(1)
1. Given:[tex][tex]x_1 = -3, y_1 = -7, m = 4[/tex][/tex]
Plug these values in the above equation,
[tex][tex]y - (-7) = 4(x - (-3)\\ y + 7 = 4(x + 3)\\\\y + 7 = 4x + 12\\y = 4x + 5\\\\4x - y = -5[/tex][/tex]
This is the equation in standard form of line.
2. Given:
[tex][tex]x_1 = 10, y_1 = -2, m = -\frac{1}{2}[/tex][/tex]
Plug these values in the equation (1),
[tex][tex]y - (-2) = -\frac{1}{2} (x - 10)\\y + 2 = -\frac{1}{2} x + 5\\[/tex][/tex]
Multiply both sides by 2.2y + 4 = -x + 10x + 2y = 6
This is the equation in standard form of line.
3. Given:
[tex][tex]x_1 = -1, y_1 = 8, m = -\frac{3}{4}[/tex][/tex]
Plug these values in the equation (1),[tex][tex]y - 8 = -\frac{3}{4}(x - (-1))\\ y -8 = -\frac{3}{4}(x + 1)\\ y - 8 = -\frac{3}{4}x - \frac{3}{4}[/tex][tex]y = -\frac{3}{4}x -\frac{3}{4} + 8\\ y = -\frac{3}{4}x + \frac{29}{4} \\[/tex][/tex]
This is the equation in point slope form.
4. Given:[tex][tex](x_1, y_1) = (-3, 11), (x_2, y_2) = (6, -7)[/tex][/tex]
First to find the slope from the given two points.
[tex][tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\m = \frac{-7-11}{6-(-3)}\\ m = \frac{-18}{9\\}\\ m = -2[/tex][/tex]
Now plug m = -2 and one of the given point in the equation (1), we ge[tex]t[tex]y - 11 = -2(x - (-3))\\y - 11 = -2(x + 3)\\y - 11 = -2x - 6\\y = -2x + 5[/tex][/tex]
This is the equation in slope intercept form.
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An elevator in a skyscraper rises 240 feet in 15 minute. What is the
elevator’s rate in feet per minute?
Answer:
Step-by-step explanation:
answer is 16
For the polynomial function f(x)=x^3 - 2x^2 - 5x + 6, we have f(0)=6, f(2) = -4, f(-2) = 0, f(3) = 0 , f(-1) = 8 , f(1) =0. Rewrite f(x) as a product of linear factors.
The given polynomial function f(x)=x^3 - 2x^2 - 5x + 6 as a product of linear factors as (x+2).(x-3).(x-1)
In the above question, a polynomial function is given
f(x)=x^3 - 2x^2 - 5x + 6
However, we know that, zero of a polynomial means all the x-values that bring a polynomial, p(x), to zero are referred to as its zeros, which means putting any value of x in the function we should get value of f(x) as zero
And, in the question, it is given as
f(0)=6, f(2) = -4, f(-2) = 0, f(3) = 0 , f(-1) = 8 , f(1) =0
We can clearly see that, f(-2) = 0, f(3) = 0, f(1) =0
=> (x+2), (x-3), (x-1) are the linear factors of the given polynomial
Hence, we can write the given polynomial function f(x)=x^3 - 2x^2 - 5x + 6 as a product of linear factors as (x+2).(x-3).(x-1)
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