The height of Nasim kite above the ground is 51.79 feet
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height from Nasim hand to the kite, hence:
sin(28) = h / 105
h = 49.29
Kite height above the ground = 2.5 + 49.29 = 51.79 feet
The height of Nasim kite above the ground is 51.79 feet
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If p(a) = 0.60 and p(b) = 0.20, then a and b are independent events if
a. p(a and b) = 0
b. p(a and b) = 0.12
c. pla or b) = 0.80
d. pa or b) = 0.12
If A and B are independent variables, P(A and B) =0.12. Therefore, option B is the correct answer.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
Given that, p(a)=0.60 and p(b)=0.20.
If A and B are independent variables,
P(A and B) =P(P∩B)= P(A) × P(B)
Here, P(P∩B)=0.60×0.20
= 0.12
Therefore, option B is the correct answer.
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The president of a school club would like to purchase T-shirts for members of the club and asks members which size they would like to order. The results are shown in the histogram below.
A histogram titled T-shirt sizes has size on the x-axis and frequency on the y-axis. Small, 15; medium, 22; large, 26; extra large, 5.
Which of the following is a true statement regarding the information shown in the histogram?
T-shirt size is a discrete quantitative variable.
T-shirt size is a continuous quantitative variable.
Frequency of each size is a discrete quantitative variable.
T-shirt size is a categorical variable.
Answer:
Its a categorical variable
Step-by-step explanation:
I took the test on edge
Answer:
T-shirt size is a categorical variable.
Step-by-step explanation:
I used chatopenai.com
Help me out here guys! Will give points and rate, thank you in advance.
Which system of inequalities is graphed below?
(p.s: can’t make great than less than or equal to signs on my phone)
A. y less than or equal to -2/3x+5 and y>x-3
B. y<-2/3x+5 and y greater than or equal to x-3
C. y greater than -2/3x+5 and y
D. y>-2/3x+5 and y less than or equal to x-3
Answer:
Its A
Step-by-step explanation:
Its A
Find the sum of all positive integers less than 200 that are divisible by 7.
Step-by-step explanation:
the positive integer numbers that are divisible by 7 are an arithmetic sequence by always adding 7 :
a1 = 7
a2 = a1 + 7 = 7+7 = 14
a3 = a2 + 7 = a1 + 7 + 7 = 7 + 2×7 = 21
...
an = a1 + (n-1)×7 = 7 + (n-1)×7 = n×7
the sum of an arithmetic sequence is
n/2 × (2a1 + (n - 1)×d)
with a1 being the first term (in our case 7).
d being the common difference from term to term (in our case 7).
how many terms (what is n) do we need to add ?
we need to find n, where the sequence reaches 200.
200 = n×7
n = 200/7 = 28.57142857...
so, with n = 29 we would get a number higher than 200.
so, n=28 gives us the last number divisible by 7 that is smaller than 200 (28×7 = 196).
the sum of all positive integers below 200 that are divisible by 7 is then
28/2 × (2×7 + 27×7) = 14 × 29×7 = 2,842
#3. estimate the perimeter and area of the figure to the nearest whole number
Answer:
Perimeter = 29 unitsArea = 37 square unitsStep-by-step explanation:
Perimeter
1 + 2(3) + 6 + 8 + √(5² + 6²)15 + 6 + √6121 + 8 (nearest whole number)29 unitsArea
2 x 2 + 3 x 6 + 1/2 x 5 x 64 + 18 + 1537 square unitsf(x) = 10x +3
g(x) = -7x-4
What does (f- g) (x) equal?
To obtain credit, provide your answer with no spaces. Example answer: 42x+9
Answer:
f-g=10x+3-(-7x-4)
=10x+3+7x+4
=17x+7
(f-g)(x)= 17x+7
Answer:
17x + 7
Step-by-step explanation:
Subtracting functions: (f - g)(x) is equivalent to f(x) - g(x)
Given:
f(x) = 10x + 3
g(x) = -7x - 4
Simplify:
(10x + 3) - (-7x - 4)
(10x + 3) - (-7x) + - (- 4)
10x + 3 + 7x + 4
17x + 7
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What is the scale factor for the dilation below?
See picture for full problem. Please and thank you so very much!!!!
Answer:
The answer is 5
Step-by-step explanation:
Divide the original x-axis value by the x-axis value after dilation. So, point G' has an x-axis value of 2, and point G has an x-axis value of 10. If you divide 10/2, you get 5.
A charity received 240 donations. The total amount received was 7,680. If x represents the average donation, which THREE statements are
correct?
Answer:
x=32
Step-by-step explanation:
Which is the graph of g(x) = (0.5)* + 3 – 4?
Answer:
The graph will be an exponential function that crosses the y-axis at about (0, -4).
A chocolate bar measures 30 mm wide, 70 mm long, and four and one over two mm high. Will’s Wrapping Company is making a wrapper to cover the chocolate bar. Use the correct net and determine how much paper will be needed to make the wrapper.
Answer:
minimum of 5100 mm^2
Step-by-step explanation:
Surface area 2 * ( 70 * 30 + 70 * 4.5 + 30* 4.5) = 5100 mm^2
The function is defined over the interval [2, 5]. if the interval is divided into equal parts, what is the value of the function at the right endpoint of the th rectangle?
The value of the function at the right endpoint of the rectangle is 5 +6k/n.
What is the endpoint about?In the question above;
Th width of the interval is said to be (5 -2) = 3.
So, the width of one of n parts of it = 3/n
To solve for the differences that exist between the left end point of the interval and the value of x at the right end of the k-th rectangle, one can say that:
k·(3/n) = 3k/n
Note that the value of x at shows the point of difference added to the interval's left end and thus it will be: 2 + 3k/n
Therefore, the value of the function for the value of x will be:
f(2 +3k/n) = 2(2 +3k/n) +1 = (4 +6k/n) +1
= 5 +6k/n
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A line passes through the points (-4,3) and (0, 0). What is the slope of the line?
Answer:
-3/4
Step-by-step explanation:
ΔY / ΔX, or change in y divided by change in x
(-4,3) and (0, 0)
x increases by 4
y decreases by 3
-3/4
Answer:
It is -3/4
Step-by-step explanation:
The following histogram represents the heights of the students in Ari's classroom. Identify at least three things that you
can infer from the histogram about the distribution's center, spread, and overall shape.
Answer:
We can identify that the histogram is skewed to the left (more on the left) the center would be 3 and the spread is saying more students are between 58-59 and 60-61 inches were as there is only 3 for the rest
Step-by-step explanation:
I hope this helps I have the same question and this is what I wrote for my answer
triple the sum of x and 5
Answer:
The expression becomes 3(x+5) = 3x+15
ASAP Pls! 6. Which of the following statements about the picture are true? Select two.
(^Image Attached Below^)
Choices:
[] Point A is on the bisector of ∠TXR.
[] Point A is on the perpendicular bisector of Line XT.
[] Point A is on the perpendicular bisector of Line XR.
[] Point A is not on a bisector.
[] Point A is equidistant from points T and R.
I am choosing A and E for my choices, but could someone confirm? Tysm! Need this asap!
Answer:
Yes, your choices are correct ...First and last points are true:)
PLEASE HELP ILL GUVE EXTRA POINTS PLEASE!!!
Answer:
[tex]\boxed{\bf 7 \times 10 {}^{ - 3}} [/tex]
Step-by-step explanation:
[tex] \cfrac{6.3}{9} \times \dfrac {10 ^{ - 5} }{10 {}^{ - 3} }[/tex][tex]0.7 \times \cfrac{10 {}^{ - 5} }{10 {}^{ - 3} } [/tex][tex]0.7 \times 10 { }^{ - 5 - 3 \times - 1} [/tex][tex]0.7 \times 10 {}^{ - 5 + 3} [/tex][tex]0.7 \times 10 { }^{ - 2} [/tex]Write 0.7 *10^-2 into scientific notation:
[tex]7 \times 10 {}^{ - 3} [/tex]Hope this helps! ^^"
Answer:
[tex]7 \times 10^{-3}[/tex]
Step-by-step explanation:
[tex]\begin{aligned}\dfrac{6.3 \times 10^{-5}}{9 \times 10^{-3}} & =\dfrac{6.3}{9} \times \dfrac{10^{-5}}{10^{-3}}\\\\& = 0.7 \times \dfrac{10^{-5}}{10^{-3}}\end{aligned}[/tex]
[tex]\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]
[tex]\begin{aligned}\implies 0.7 \times \dfrac{10^{-5}}{10^{-3}} &=0.7 \times 10^{-5-(-3)}\\& = 0.7 \times 10^{-2}\end{aligned}[/tex]
[tex]\textsf{Rewrite}\:0.7\:\textsf{as}\: 7 \times 10^{-1}:[/tex]
[tex]\implies 0.7 \times 10^{-2}=7 \times 10^{-1} \times 10^{-2}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \times a^c=a^{bc}:[/tex]
[tex]\implies 7 \times 10^{-1} \times 10^{-2}=7 \times 10^{-3}[/tex]
88+36 is the same as ? + 34
Answer:
The answer would be 90.
Step-by-step explanation:
There are two ways to solve this problem.
Option 1: See that 88+36 is equal to 124. Then subtract 34 from 124 to get your answer of 90.
Option 2. See that you subtracted two from 36 to get 34. To balance the equation out, you must add two to 88 to get an answer of 90.
I hope this helps! :)
Hey there!
88 + 36 VS ? + 34
88 + 36 VS x + 34
88 + 36 = x + 34
124 = x + 34
NEW EQUATION:
124 = x + 34
x + 34 = 124
SUBTRACT 34 to BOTH SIDES
x + 34 - 34 = 124 - 34
SIMPLIFY IT!
x = 124 - 34
x = 90
Therefore, the mystery number/answer is: 90
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
The neighborhood movie store rents a game machine for $12.50 plus $1.50 per day. the downtown store rents the same machine for $4 per day with no initial fee. after how many days will the total rental charge be the same for each store?
In 5 days the total rental charge is the same for each store.
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given that:-
A movie store rents a game machine for $12.50 plus $1.50 per day. The downtown store rents the same machine for $4 per day with no initial fee.Let x be the days. The two-equation will be formed as:-
Total amount = 1.5x + 12.5
Total amount = 4x
For the same total amount, we will equate the two equations.
1.5x + 12.5 = 4x
12.5 = 4x - 1.5x
12.5 = 2.5x
x = 12.5 / 2.5
x = 5 days
Therefore In 5 days, the total rental charge is the same for each store.
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prove that the point [1,2] is equidistance from the point [4,-2], [5,-1] and [-2,6]
Step-by-step explanation:
Proof: equidistance means at an equal distance from two points
so: Take the distance formula and then plug the values in and compare.
!!!!!!points!!!!!!!!
A. Substitute x = 3 into the equation of the line of best fit.
B. Estimate of the inventory on day 3 is: 3 (in hundreds).
What is the Equation of a Line of Best Fit?The equation of the line of best fit models the relationship between two variables, which can be used for making estimates or predictions.
The equation of the line of best fit given is: f(x) = -1/3x + 4, where:
x = days after delivery f(x) = inventoryA. To estimate the inventory after day 3, substitute x = 3 into the equation of the line of best fit.
B. Plug in x = 3 into f(x) = -1/3x + 4
f(3) = -1/3(3) + 4
f(3) = 3
Estimate of the inventory on day 3 is: 3 (in hundreds).
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how to answer this question ?
The sides
12-3a
12-3a
4(2a-5)=8a-40
so for perimeter we + them
(12-3a)+(12-3a)+(8a-40)
=
2a-16
Isaac started an iphone screen replacement business. he charges $15 for each screen his shop replaces. isaac currently employs 4 workers and the shop replaces 43 screens per day. business is good, so he is considering hiring another worker. if he did, the total number of screens his shop can replace each day would be 49. what is the value of the marginal product of labor for the 5th worker? $ ____
Isaac started an iPhone screen replacement business. he charges $15 for each screen his shop replaces, the value of the marginal product of labor for the 5th worker is mathematically given as
M=$90
What is the value of the marginal product of labor for the 5th worker?Generally, It is the change in value or production that occurs when a new worker is hired.
Therefore, the value of the output from hiring 4 & 5workers
V4= $ 15* 43
V4= $ 645
and V8
V5=$ 15 * 49
V5 = $ 735
In conclusion, the marginal product
M= $ 750 - $ 645
M=$90
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Here are some numbers.
8 11 13 18 25 37
8 13 18 is an arithmetic progression and the rule is to add 5.
Use three of the numbers to make a different arithmetic progression.
Describe the rule.
Answer:
Below.
Step-by-step explanation:
11 18 25 is also an A. P. and the rule is add 7.
Answer:
11,18,25
Step-by-step explanation:
11,18,25 is the new arithmetic progression the rule is add 7
Find all the zeros of f(x).
f(x) = 3x4 + 11x3 + 11x2 + x - 2
Arrange your answers from smallest to largest.
If there is a double root, list it twice.
Answer:
-2, -1, -1, 1/3
Step-by-step explanation:
A graphing calculator can find the real roots of a polynomial pretty easily. The attached graph of this function shows its zeros to be ...
-2, -1, -1, 1/3
__
The rational root theorem tells you that rational roots will be from the set ...
{±1/3, ±2/3, ±1, ±2}
Descarte's rule of signs tells you there will be 1 positive real root. The sum of coefficients is 24 (a relatively large positive number), so it is certain the positive root will be less than 1.
The sum of coefficients of odd-degree terms (11+1) is equal to the sum of coefficients of even-degree terms (3+11-2), telling you that -1 is a root. Synthetic division gives the cubic factor as 3x³ +8x² +3x -2, which has the same characteristics as the original quartic. That is, there is one positive real root, and -1 is a root of the cubic (hence a double root of f(x)).
Another round of synthetic division reveals the quadratic factor to be 3x² +5x -2, which can be factored as (x +2)(3x -1) to reveal the remaining roots.
g+6 ≥ 5 I need help I don't know how to do it
Answer:
you will subtract 6 from 5 then your answer will be g ≥ -1
Step-by-step explanation:
hope this helps
find the surface area of this cylinder, round to the nearest tenth
I'll give brainliest
Answer:
113.1
A = 2πrh + 2πr² = 2 × π × 3 × 3 + 2 × π × 3² ≈ 113.1
Using the numbers 1 2 3 4 5 6 7 8 place each number once in the appropriate box so that the final answer is an ancient approximation of Pi
The approximated value of π using the integer digits 1 2 3 4 5 6 7 8 is is 3.142857
How to approximate the value of π?The integers are given as:
1 2 3 4 5 6 7 8
The value of π is:
π = 22/7
Evaluate the quotient
π = 3.14285714286
From the question, the digits 1 to 8 have to appear just once.
So, we approximate the number up to the point where any of the given digits has more than one occurrence.
So, we have:
π = 3.142857
Hence, the approximated value of π is 3.142857
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Part D What is the y-intercept of the correct graph? What is the y-intercept of the incorrect graph? Are the y-intercepts the same?
Part F about what is the average change in distance for each increase of 1 iron number? what does this mean in terms of the situation
The y-intercept of the correct graph is 185 and y-intercept of the incorrect graph is 195. The value of average change in distance is -10 for each increase of 1 iron number.
What is y-intercept?The x-intercept is the point on the coordinate at which a line, curve or plane intersect with the y-axis.
In the graph it can be seen that the correct graph is intersect y-axis at the value 185. Thus, the y-intercept of the correct graph is 185.
c=185
For the incorrect graph this value is 195. Thus, the y-intercept of the incorrect graph is 195.
b=195
Here, the values of y-intercepts are not the same-
c≠b
185≠195
The average change in distance for each increase of 1 iron number is,
[tex]r=\dfrac{155-145}{3-4}\\r=-10[/tex]
Thus, the y-intercept of the correct graph is 185 and y-intercept of the incorrect graph is 195. The value of average change in distance is -10 for each increase of 1 iron number.
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[tex]\huge\color{yellow}\underline \colorbox{violet} {\color{red}{QUESTION}}[/tex]
need answer guys
Answer:
26. c. 6 cm
27. c. 70 cm³
Step-by-step explanation:
Question 26
Volume = Length × Width × Height360 = 10 × 6 × WidthWidth = 6 cmc. 6 cmQuestion 27
Volume = Length × Width × HeightVolume = 7 × 5 × 2Volume = 70 cm³c. 70 cm³Question 28 (not entirely visible)
Solve:
1)
Find Width
10 * W * 6 = 360
W = 360/60
W = 6 cm
2)
Volume
LWH
(2)(7)(5)
70 cm³
3)
Volume
LWH
(7)(3)(4)
84 m³
which of the following plotted points on the graph represent the zeros of the function g(x) = (x^2 - 3x - 10)(x + 4)
Answer: The answer would be (-2,0),(-4,0), and (5,0)
Step-by-step explanation:
Guessing the answer choices are
(-2,0)
(4,0)
(0,10)
(-4,0)
(0,-2)
(0,-10)
(5,0)