Answer:
100.
Step-by-step explanation:
( -10 )^ 2 = ( -10 )( -10 ).( -10 )( -10 ) = 100.These are all of the steps to completely and correctly solve this question.
Hope this helps!!!
Kyle.
A group of friends are playing a game of lawn darts. Each player has thrown six lawn darts so far in the game. The results of their throws are shown in the dot plot below.
The number that best summarizes the data is __ hits.
The best measure of center is the __.
Answer:
The number that best summarizes the data is 2 hits.
The best measure of center is the median.
Step-by-step explanation:
Since there are 25 players represented in the data, the median would be the 13th, or middle, number when the data is ordered from least to greatest.
0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,5,5,6,6
best summaries the data is 2 hits
center is the median
Answer:
"Number of", Mean
write an algebraic expression for this word problem. An orange contains 62 calories which is x fewer calories than a nectarine. How many calories does a nectarine have?
Answer:
n = 62 + x
Step-by-step explanation:
From the problem given, it is clear that the orange has LESS calories than a nectarine. HOW much less? "x" less.
Also, orange has 62 calories. So, nectarine MUST HAVE 62 + x calories.
If we let nectarine's calories be n, we can write:
n = 62 + x
I only have to do eleven of these but I’m stuck and it’s sin , cos , tan
Answer:
5. 77.32°
6. 54.46°
7. 13.6
8. 19.5
9. 6.5
10. 12.6
Step-by-step explanation:
I find the mnemonic SOH CAH TOA to be extremely helpful for problems like this. It reminds you ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
___
Based on your notes of problems 5 ad 6, I'd say you need to be a little careful of notation. The relationship between angles and side ratios is ...
• TrigFunction(angle) = ratio . . . . . . . . trig functions are sin, cos, tan, csc, sec, cot
• InverseTrigFunction(ratio) = angle . . . inverse trig functions are arcsin, arccos, arctan, arccsc, arcsec, arccot. These are also written with a -1 superscript, for example, sin⁻¹ for arcsin.
__
5. sin(x°) = 40/41 . . . . . . . . . . . . opposite/hypotenuse
x° = arcsin(40/41) ≈ 77.32°
__
6. tan(x°) = 7/5 . . . . . . . . . . . . . . opposite/adjacent
x° = arctan(7/5) ≈ 54.46°
__
7. tan(39°) = 11/x
x = 11/tan(39°) . . . . . . . . . multiply both sides of the equation by x/tan(39°)
x ≈ 13.6
__
8. cos(46°) = x/28
x = 28·cos(46°) ≈ 19.5
__
9. tan(51°) = 8/x
x = 8/tan(51°) ≈ 6.5 . . . . . solve as in problem 7
__
10. sin(24°) = x/31
x = 31·sin(24°) ≈ 12.6
PLEASE HELP THIS IS DUE TODAY!!!!!!
Select a graph for the situation. You leave home and head to a meeting you start out at a fairly steady pace until you get to pace until you get to a crosswalk. While stopped at the crosswalk you realize that you have forgotten your notes. You turn around and head back home at the same fairly steady pace. You grab your notes and then run to your meeting without stopping, although along the way your pace slows down a bit. The graphs show the amount of time that has passed and your distance from home
Answer:
D
Step-by-step explanation:
A does not work, because you stop on the way to the meeting (which you don't)
B does not work, because you speed up on the way to the meeting, when in reality you slow down
C does not work, because it does not show that you went back home or changed speed at all
D is correct!
Answer:
D
Step-by-step explanation:
A bag of marbles has 3 red, 6 blue, and 3 white marbles in it. What is the probability of reaching in and selecting a red marble?
A. 1/2
B. 1/3
C. 1/4
D. 1/5
Answer:
C. 1/4
Step-by-step explanation:
There are in total 12 marbles in the bag. So the probability of picking a red marble is 3/12. If you simplify that, you get 1/4.
2. Determine the sum of the first 400 ODD numbers.
Odd numbers take the form [tex]2n-1[/tex], where [tex]n\ge1[/tex] is an integer. When [tex]n=400[/tex], the last odd number would be 799. So we're adding
[tex]S=1+3+5+\cdots+795+797+799[/tex]
By reversing the order of terms, we have
[tex]S=799+797+795+\cdots+5+3+1[/tex]
and we can pair up terms in both sums at the same position to write
[tex]2S=(1+799)+(3+797)+(5+795)+\cdots(795+5)+(797+3)+(799+1)[/tex]
so that we are basically adding 400 copies of 800, and from there we can find the value of the sum right away:
[tex]2S=400\cdot800\implies S=160,000[/tex]
###
We could also make use of the formulas,
[tex]\displaystyle\sum_{i=1}^n1=n[/tex]
[tex]\displaystyle\sum_{i=1}^ni=\dfrac{n(n+1)}2[/tex]
We have
[tex]S=\displaystyle\sum_{i=1}^{400}(2i-1)=2\sum_{i=1}^{400}i-\sum_{i=1}^{400}1=400(400+1)-400=400^2=160,000[/tex]
Which graph represents y= 3 sqrt x-5?
Answer:
Unfortunately, your picture doesn't show all the graphs of the possible answers.
However, the graph should look like the one I attached, passing by the (5,0) point. Which is logic since a value of 5 for x would make the y the cubic root of 0... which is 0.
When trying to identify a graph of a formula, always try to see which values of x could make y = 0 or what would happen to y if x = 0, that will always give you a pretty good idea of which graph to choose from.
Answer:D
Step-by-step explanation:
Find the area of the trapezoid by decomposing it into other shapes.
A) 33 cm2
B) 36 cm2
C) 38 cm2
D) 42 cm2
Answer:
(C) 38 cm²
Step-by-step explanation:
Top length = 6 cm
Bottom length = 5 + 8 = 13 cm
Area
= 1/2 ( 6 + 13) (4)
= 1/2(19)(4)
= 38 cm²
The area of the trapezoid is 38 cm2.
Analyze the columns below and complete the instructions that follow. Column A Column B The slope of the line through the points (-8,15)and (-8,-9) The slope of the line through the points(3,-10) and (3,11) Compare the quantity in column A with the quantity in column B. A. The slope in column A is greater. B. The slope in column B is greater. C. The slopes in the two columns are equal. D. The slopes in the two columns are undefined.
C is the right answer
A farmer grows vegetables on seven acres, fruit on six acres, and flowers on two acres. Out in his fields, he finds a ladybug. To the nearest tenth of a percent, what is the theoretical probability that the ladybug was not found within the acres of flowers? 13.3% 15.4% 84.6% 86.7%
Answer:
Option D : 86.7% is the answer.
Step-by-step explanation:
Given information is :
A farmer grows vegetables on 7 acres of land.
He grows fruit on 6 acres of land.
And he grows flowers on 2 acres of land.
Total farming acres are = [tex]7+6+2=15[/tex] acres.
Now, we have to find what the theoretical probability that the ladybug was not found within the acres of flowers. This means it was not found in 2 acres of land. It must have been in 13 acres of land.
So, probability will be : [tex]\frac{13}{15} \times100[/tex] = 86.66% ≈86.7%
Therefore, option D is the answer.
Answer: d
Step-by-step explanation:
Caleb is planning a visit to an amusement park. He wants to figure out how many roller coasters he could ride and how many shows he can watch in 345 minutes.
Each roller coaster takes 5 minutes to ride. He estimates that the average wait time for a roller coaster is 30 minutes.
Caleb wants to ride 3 more roller coasters than the number of shows he watches. Each show takes 25 minutes.
how many shows can he watch and how many rides can he ride?
7 rollercoasters because 4 shows plus 3 more rollercoasters equal 7 and 4 shows .
It takes 5 minutes to ride on the rollercoaster plus the estimated 30 minute wait equals 35 and 35*7=245 and it takes 25 minutes to watch show and 25*4=100 and 245+100=345 so he can ride 7 rollercoasters and 4 shows in 345 minutes.
Find the area of the circle. Leave
your answer in terms of t.
2.4 m
Area = [ ? ]m?
PLEASE ANSWER ASAP!!!! WILL GIVE BRAINLIEST
Answer:
1.44 pi meters squared
Step-by-step explanation:
Area of circle form: pi r squared
pi is there so we need to find radius
2.4/2 is 1.2
1.2 squared is 1.44
What is the slope of the line whose equation is y- 2/3=0
slope Timo
slope = -2/3
slope = 0
slope = 2
Answer:
Slope is 0
Step-by-step explanation:
y-2/3=0
y=2/3
There is no x value?
The scatter plot represents the average daytime temperatures recorded in New York for a week. What is the range of the temperature data in degrees Fahrenheit? A. 15°F B. 10°F C. 12°F D. 14°F
option A is correct, the range of the temperature data in degrees Fahrenheit is 15°F.
What is Temperature?Temperature is a physical quantity that expresses quantitatively the perceptions of hotness and coldness.
Scatter plots are the graphs that present the relationship between two variables in a data-set.
The scatter plot represents the average daytime temperatures recorded in New York for a week.
The highest temperature in a week from the scatter plot is 45°F.
The lowest temperature in a week from the scatter plot is 30°F.
Range is the difference between the highest temperature and lowest temperature.
Range=45°F-30°F
=15°F
Hence, option A is correct, the range of the temperature data in degrees Fahrenheit is 15°F.
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write the standard form of the equation of the line through (2,5) with an undefined slope
Answer:
x = 2
Step-by-step explanation:
A line with an undefined slope indicates that the line is vertical and parallel to the y- axis.
The equation of a vertical line is
x = c
Where c is the value of the x- coordinates the line passes through.
The line passes through (2, 5) with x- coordinate 2, hence
x = 2 ← equation of line
drag steps in the given order to evaluate this expression. (-5)(-4) - 6 - 4(6)
[tex]\((-5)(-4) - 6 - 4(6) = -10\)[/tex]
Certainly! To evaluate the expression [tex]\((-5)(-4) - 6 - 4(6)\)[/tex], follow these steps:
Multiply the first set of parentheses:
[tex]\((-5)(-4) = 20\)[/tex]
Subtract the result from step 1 from the second term:
[tex]\(20 - 6\)[/tex]
Multiply the number 4 by 6:
[tex]\(4 \times 6 = 24\)[/tex]
Subtract the result from step 3 from the result in step 2:
[tex]\(20 - 6 - 24\)[/tex]
Now, combine the terms:
[tex]\[20 - 6 - 24 = -10\][/tex]
Which statements correctly describe the association between the variables A and B?
Select each correct answer.
no association
negative association
positive association
linear association
nonlinear association
Since it is not perfectly straight it’s not linear so
*nonlinear association
The line goes down not up so it’s
*negative association
If your teacher wants to count the point outside of the regular line it would be no association
The two that most fit this graph are nonlinear and negative association
Answer:
There is a non linear association and negative association between variable A and B.
Step-by-step explanation:
A nonlinear relationship between two entities indicates that a change in one entity does not correspond with the constant change in the other entity.
Here, we can see the scatter plot that shows a non linear relationship.
There also exists a negative association between variable A and variable B. We can see that B increases as A increases, but points do not lie on a straight line.
Therefore, there is a non linear association and negative association between variable A and B.
Which of the following statements is AlWAYS TRUE when parallel lines are cut by a transversal?
(A) The sum of the degree measure of complementary angles is 180 degrees.
(B) The sum of the degree measure of corresponding angles is 180 degrees.
(C) Corresponding angles are congruent.
(D) The angles in a vertical pair are acute
Answer:
c
Step-by-step explanation:
a and b ar out because suplementry angels are 180 so its just c and d
When parallel line are cut by a traversal line,
Then corresponding angles are congruent.
What are parallel lines?Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other.
Given:
The parallel lines are cut by a traversal line.
(A) The sum of the degree measure of complementary angles is 180 degrees.
This is a contradictory statement.
Because, the sum of the degree measure of supplementary angles is 180 degrees.
(B) The sum of the degree measure of corresponding angles is 180 degrees.
This is a contradictory statement.
Because, the sum of the degree measure of supplementary angles is 180 degrees.
(C) Corresponding angles are congruent.
This is a true statement.
(D) The angles in a vertical pair are acute
This is also ca contradictory statement.
Therefore, corresponding angles are congruent.
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choose the function whose graph is given by:
Hence function 's graph is option D .
What is Function Of cos?Cos function is ration of adjacent side to hypotheses.
What is Range of Cos function ?Range of function lies between [-1,1]
Cos x = 2 n [tex]\pi[/tex]
where x is angle
Hence option D where y=3cos ([tex]\frac{\pi }{2}[/tex]X) is function
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Answer: 3cos(4x)
Step-by-step explanation:
Which of the following is the equation of the function below?
Answer:
The equation of the graph below is y = 0.5 csc[0.5(x + π/2)] - 1 ⇒ 3rd answer
Step-by-step explanation:
* Lets revise the trigonometry transformation
- If the equation is y = A csc(B(x + C)) + D
# Amplitude is A
- The Amplitude is the height from the center line to the peak .
Or we can measure the height from highest to lowest points and
divide that by 2
# period is 2π/B
- The Period goes from one peak to the next
# phase shift is C (positive is to the left)
- The Phase Shift is how far the function is shifted horizontally
from the usual position.
# vertical shift is D
- The Vertical Shift is how far the function is shifted vertically from
the usual position.
- If y = csc(x)
∴ A = 1 , B = 1 , C = 0 , D = 0
- That means the amplitude is 1, the period is 2π, no phase shift
or vertical shift
* Now lets solve the problem
- From the graph
# The amplitude = (-0.5 - -1.5)/2 = 0.5
∴ A = 0.5
# The period is from 2.5π to -1.5π
∴ The period is 4π
∵ The period = 2π/B
∴ 4π = 2π/B ⇒ by cross multiplication
∴ B = 2π/4π = 1/2 = 0.5
* There is only one answer has A = 0.5 and B = 0.5
∴ y = 0.5 csc[0.5(x + π/2)] - 1
* The equation of the graph below is 0.5 csc[0.5(x + π/2)] - 1
* For more understand look to the color graph
- The blue graph is y = csc(x)
- The green graph is y = 0.5 csc[0.5(x + π/2)] - 1
Answer:
C. y = 0.5csc [0.5 (x + pi/2)] - 1
Step-by-step explanation:
this is the correct answer on ed-genuity, hope this helps!
Mark has a standard deck of 52 cards and a fair two-sided coin. What is the probability that he will pull a jack from the deck of cards and toss the coin to land on heads?
A. 1/2
B. 1/26
C. 1/13
D. 1/8
Answer:
1/26
Step-by-step explanation:
there are 4 jacks in a deck and one heads on a coin. So you take 4/52 and mutiply it by 1/2 and get 1/26
Mark has a standard deck of 52 cards and a fair two-sided coin. What is the probability that he will pull a jack from the deck of cards and toss the coin to land on heads?
( C. 1/13 )
A chair is on sale for 1/3 off the original price. The original price is 1,029. If you pay with cash you receive a 5% discount. When you go to the cash register you have to pay a 6.5% sale tax. What is the total cost of the chair if you pay with cash and including the sale tax?
Answer:
$347.03
Step-by-step explanation:
$1029 * (1/3) = $343 (Discounted Price)
$343 * 0.95 = $325.85 (With the extra 5% discount you only pay 95%)
$325.85 * 0.065 = 21.18 (Sale Tax)
$325.85 + 21.18 = $347.03 (Added Sale Tax)
Answer:
$347.03
Step-by-step explanation:
Hope that helped
Almost done need help
Answer:
[tex]x=37[/tex]
Step-by-step explanation:
Use the alternating interior angles theorem.
It states that alternating interior angles are congruent.
Therefore,
[tex]3x+4=115 \\ \\ 3x=111 \\ \\ x=37[/tex]
A: A circle has a circumference of 45 cm. What is the BEST estimate of the circle’s diameter?
Answer:
D ≈ 14.32 cm
Step-by-step explanation:
C = 2πR, or C=πD
D=C/π = 45/π ≈ 14.32 cm
The probability that Jase studies for his geometry test is
15
16
. The probability that Jase studies and makes an A is
17
20
. Jase studies for the test. What is the probability that he makes an A?
The probability that Jase makes an A given that he studies for the geometry test is [tex]\(\frac{68}{75}\)[/tex].
Let's denote the event that Jase studies for the geometry test as [tex]\(S\)[/tex] and the event that he makes an A as [tex]\(A\)[/tex].
The probability that Jase studies for his geometry test is given as [tex]\(P(S) = \frac{15}{16}\)[/tex].
The probability that Jase studies and makes an A is given as [tex]\(P(S \cap A) = \frac{17}{20}\).[/tex]
To find the probability that he makes an A given that he studies [tex](\(P(A|S)\))[/tex], we use the conditional probability formula:
[tex]\[ P(A|S) = \frac{P(S \cap A)}{P(S)} \][/tex]
Substitute the given values:
[tex]\[ P(A|S) = \frac{\frac{17}{20}}{\frac{15}{16}} \][/tex]
To divide by a fraction, multiply by its reciprocal:
[tex]\[ P(A|S) = \frac{17}{20} \times \frac{16}{15} \][/tex]
Simplify the expression:
[tex]\[ P(A|S) = \frac{17 \times 16}{20 \times 15} \][/tex]
[tex]\[ P(A|S) = \frac{272}{300} \][/tex]
Now, simplify the fraction:
[tex]\[ P(A|S) = \frac{68}{75} \][/tex]
So, the probability that Jase makes an A given that he studies for the geometry test is [tex]\(\frac{68}{75}\)[/tex].
Amanda and Jeremiah are standing on the same side of a large lake. They are separated by a horizontal distance of 4000 ft. Both Amanda and Jeremiah can see a helicopter that is directly above the horizontal distance between them. Amanda’s angle of elevation to see the helicopter is 60° and Jeremiah’s angle of elevation to see it is 30°. What is the distance between jermiah and the helicopter? Round to the nearest feet
Answer:
The distance between Amanda and the helicopter be x
cos 60 = x / 4000
x = 4000 × cos 60
= 4000 × 1/2
= 2000 feet
Step-by-step explanation:
The distance between Jeremiah and the helicopter is given by the trigonometric relation and d = 2000 feet
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be represented as ΔABC
Now , the measure of sides of the triangle are
The distance between Amanda and Jeremiah = 4000 feet
Amanda’s angle of elevation to see the helicopter is 60° and Jeremiah’s angle of elevation to see it is 30°
So , from the trigonometric relations ,
cos θ = adjacent / hypotenuse
cos 60° = d / 4000
Multiply by 4000 on both sides , we get
d = ( 4000 ) ( 1/2 )
d = 2000 feet
Hence , the distance is 2000 feet
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The complete question is attached below :
Amanda and Jeremiah are standing on the same side of a large lake. They are separated by a horizontal distance of 4000 ft. Both Amanda and Jeremiah can see a helicopter that is directly above the horizontal distance between them. Amanda’s angle of elevation to see the helicopter is 60° and Jeremiah’s angle of elevation to see it is 30°. What is the distance between jeremiah and the helicopter? Round to the nearest feet
which pair represents the same complex number ?
A because that’s the only logical
Answer:
-3 -3i
Step-by-step explanation:
Helppp me asap someone
Answer:
see explanation
Step-by-step explanation:
(a)
Using the relationship
distance = speed (s) × time (t) ← speed is rate of change, then
speed = [tex]\frac{distance}{time}[/tex], thus
[tex]\frac{54}{0.75}[/tex] = 72
[tex]\frac{216}{3}[/tex] = 72
[tex]\frac{252}{3.5}[/tex] = 72
[tex]\frac{432}{6}[/tex] = 72
[tex]\frac{576}{8}[/tex] = 72
Thus rate of change is constant, hence
(b)
d = 72t ← explicit formula
If 3400 maple trees are counted on a 3km x 4km rectangular patch of land, what is the density of maple trees per square kilometer? round to the nearest tenth
The density of maple trees per square kilometer for the cosidered rectangular patch of land is 283 maple trees/sq. km approximately.
How to find the density?Density is like rate. It tells you how much of a thing is available for each unit other thing which contains the first thing.
Density = (Total amount available)/(total space which contains that amount)
For this case, we're specified that:
Number of trees on the rectangular land = 3400Dimensions of the considered rectangular land = 3km x 4kmDensity of trees will be expressed in terms of number of trees per unit area
Area of the considered land = [tex]3 \times 4 = 12 \: \rm km^2[/tex]
Thus, the density of the maple trees in terms of maple trees per sq. kilometers is:
[tex]D = \dfrac{3400}{12} = 283.3\overline{3} \approx 283 \: \rm \text{maple trees/sq. km}[/tex] (approximated to integers as trees cannot be in decimal).
Thus, the density of maple trees per square kilometer for the cosidered rectangular patch of land is 283 maple trees/sq. km approximately.
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Here are the results of flipping a coin 50 times.
According to this chart, what is the experimental probability for flipping a coin and its landing on tails?
A. 1/20
B. 2/5
C. 3/5
D. 1/30
B, because 2/5 is the same as 20/50. Hope that helps!
Answer:
B 2/5
Step-by-step explanation:
The experimental probability of tails is the number of tails of the total number of tries
P (tails) = 20/(20+30)
=20/50
=2/5