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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
What is the mean of 7, 10, 13, 4, 12, 21, 10, 3?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]
❖ First, add all the numbers together:-
7+10+13+4+12+21+10+3
Addition results in:-
80
Now divide by how many numbers there are (here we have 8):-
80÷8=10
So we conclude that the mean is 10.
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if the area of a triangle is 64 and the height is 10 what is the base
Pablo built a large wooden storage box. The box was in the shape of a rectangular prism, as shown below. He covered all the sides of the box with special wallpaper that cost a total of . How much did the wallpaper cost per square foot?
The cost of wallpaper used to cover all sides of the storage box is given by $3 per square foot
Cost of wallpaper per square footlength = 9 ftWidth = 8 ftHeight = 5 ftSurface area of a box = 2(lh + wh + lw)
= 2(9×5 + 8×5 + 9×8)
= 2(45 + 40 + 72)
= 2(157)
= 314 square foot
Total cost of wallpaper = $942Cost of wallpaper per square foot = $942 ÷ 314 square foot
= $3 per square foot
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Can someone please just check my answers over to make sure I got them right. Thank you so much!
Let me know if you need a close up on any of the pictures!
Answer: they are all correct congrats!
Step-by-step explanation:
Evaluate the following indefinite integral
Step-by-step explanation:
try this solution, the answer is underlined with orange colour.
Find the surface area of a cylinder with a base radius of 5 cm and a height of 8 cm.
Use the value 3.14 for , and do not do any rounding.
Be sure to include the correct unit.
Answer:
408.40704
Step-by-step explanation:
three bells rings at intervals of 30min, 40min and 48min. The bells rang at 1230h.What time, in a. m/p.m, will they ring together next?
Help me please thank youuuuu ^_^
Answer:
x = 6
Step-by-step explanation:
2x - 3 = 9
so 9+3 = 12, and 12÷2 = 6
the value of x is 6
Factor 2x^3 - 12x^2 + 16x.
A. 2(x^2 - 2)(x - 4)
B. 2x(x - 2)(x - 4)
C. 2(x^2 + 2)(x - 4)
D. 2x(x + 2)(x - 4)
Answer:
B
Step-by-step explanation:
2x(x²-6x+8)=2x(x-4)(x-2)
Function ggg can be thought of as a scaled version of f(x)=x^2f(x)=x
2
f, left parenthesis, x, right parenthesis, equals, x, squared.
A parabola labeled f represents the equation y equals x squared. A parabola labeled g passes through the point negative 1, 4, through the origin, and through the point 1, 4.
Write the equation for g(x)g(x)g, left parenthesis, x, right parenthesis.
Using translation concepts, it is found that the equation for function g(x) is given by:
g(x) = 4x².
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent function is given by:
f(x) = x².
This function passes through point (1,1). Function g(x) passes through point (1,4), that is, it is horizontally compressed by a factor of 4, hence g(x) is given by:
g(x) = 4x².
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find the prime factorization of 405
Answer:
The factorisation of 405
405 = 5x3x3x3x3
Answer:
405 = 3 x 3 x 3 x 3 x 5 = 3⁴ x 5
Step-by-step explanation:
I'll factor 405 with the Factor Tree Method.
Step 1: Place the number 405 on top of the factor tree.
Step 2: Notice that 405 can be divided by 5 -> 405 = 5 x 81. The two branches from 405 become 5 and 81.
Step 3: Continue factorizing other numbers in the tree until you are left only with the prime factors, which you cannot further factorize.
Step 4: Write the number as the product of prime factors you got.
405 = 3 x 3 x 3 x 3 x 5 = 3⁴ x 5
Please solve with explanation (high points)
Answer:
8.1. h = 17.743514416718 m 8.2. Area of ABCD = 112.912444233369 cm²Step-by-step explanation:
Q8.
Let h be the height of the flagpole
x be the distance between point P and the flagpole.
8.1.
tan(53) = h/x
⇒ h = xtan(53) (1)
On the other hand ,
tan(28) = h/(x+20)
⇒ h = (x+20)tan(28) (2)
Let’s equate equation so (1) and (2) :
⇒ xtan(53) = (x+20)tan(28)
⇒ x = 20tan(28) ÷ (tan(53) - tan(28)) = 13.370697151775
from (1) , we have :
h = xtan(53)
= 13.370697151775×tan(53)
= 17.743514416718
8.2.
Area ABCD = area ABD + area BCD
area ABD = (1/2) AB AD sin(BAD)
= (1÷2)×11×7×sin(110)
=36.178165900258
area BCD = (1/2) DB DC sin(BDC)
firsly , we need to calculate DB (using the law of cosines I need triangle ABD) :
DB² = AB² + AD² - 2AB AD cos(110)
= 11^2+7^2-2×11×7×cos(110)
= 222.671102072153
Then
DB = √(222,671102072153)
= 14.92216814247
Going back ,
area BCD = (1/2) DB DC sin(BDC)
= (1÷2)× (14,92216814247)×16×sin(40)
=76.734278333111
Conclusion :
Area ABCD = area ABD + area BCD
= 36.178165900258+ 76.734278333111
= 112.912444233369
If William spins a spinner and it lands on a "C" 4 out of 7 times, how many times would you predict the spinner will land on a "C" if he spun it 91 times?
Answer:
52 times
Step-by-step explanation:
Probability (C) = 4/7
Multiply with 13 :
C : total = 13 x 4 : 13 x 7 C : total = 52/91This means that if he spun it 91 times, then the spinner would be predicted to land on C 52 times.
At best buy , they were having a great deal , for every $200 you spend , you get an anything 50% off coupon . If sarah spent $600 dollars on electronics , how many coupons would she get ?
Answer: 3 coupons
Step-by-step explanation:
We will divide the total amount of money spent by the amount of money needed to spend to receive a coupon.
$600 / $200 = 3
Sarah would get 3 coupons.
When observing a performance or movement pattern, you should break down the complex skills into which of the following:
A. Stylistic parts
B. none of these
C. Component parts
D. Tactical parts
You should break down complex skills into component parts when learning a complex performance or movement pattern.
What does it mean to learn complex skills?
Complex skills could be made up of several components. This makes it difficult to engage in these kind of activities without first undergoing extensive training.
As a result, you should break down complex skills into component elements when learning a complex performance or movement pattern.
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If a figure has a line of symmetry, that means what?
The two sides of the shape are similar.
O The two sides are different shapes.
Both sides are exactly the same.
The two sides are different sizes.
Answer:
both sides are the same
Step-by-step explanation:
does anyone know the answer?
Answer: Choice A
40.61 square meters
==========================================================
Explanation:
The area of a full circle is
A = pi*r^2
meaning half of it (aka semicircle) will have this area
A = 0.5*pi*r^2
The diameter of the semicircle is 5.4 meters, which divides in half to get the radius of r = 2.7
The semicircle has an area of...
A = 0.5*pi*r^2
A = 0.5*3.14*(2.7)^2
A = 11.4453
which is approximate since pi = 3.14 is approximate.
Now compute the area of the triangle
area = base*height/2 = 5.4*10.8/2 = 29.16
Then add those sub-areas to get the grand total area.
semicircleArea + triangleArea = 11.4453+29.16 = 40.6053
That rounds to 40.61 which shows why choice A is the answer.
Decimal’s I can’t understand it
Answer:
In Mathematics, the numbers can be classified into different types, namely real numbers, natural numbers, whole numbers, rational numbers, and so on. Decimal numbers are among them
Types of Decimal Numbers
Decimal Numbers may be of different kinds, namely
Recurring Decimal Numbers (Repeating or Non-Terminating Decimals)
Example-
3.125125 (Finite)
3.121212121212….. (Infinite)
Non-Recurring Decimal Numbers (Non Repeating or Terminating Decimals):
Example:
3.2376 (Finite)
3.137654….(Infinite)
Decimal Fraction- It represents the fraction whose denominator in powers of ten.
Example:
81.75 = 8175/100
32.425 = 32425/1000
Converting the Decimal Number into Decimal Fraction:
For the decimal point place “1” in the denominator and remove the decimal point.
“1” is followed by a number of zeros equal to the number of digits following the decimal point.
For Example:
8 1 . 7 5
↓ ↓ ↓
1 0 0
81.75 = 8175/100
8 represents the power of 101 that is the tenths position.
1 represents the power of 100 that is the units position.
7 represents the power of 10-1 that is the one-tenths position.
5 represents the power of 10-2 that is the one-hundredths position.
So that is how each digit is represented by a particular power of 10 in the decimal number.
The function h(x) is a translation of the exponential function g(x) = 2(3)x − 4. What's h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward 9 units, and a horizontal shift to the right 7 units? Question 11 options: A) h(x) = 4(3)x − 7 + 9 B) h(x) = 4(3)x − 9 + 7 C) h(x) = 4(3)x – 7 + 7 D) h(x) = 4(3)x + 7 − 9
The function h(x) is a translation of the exponential function [tex]g(x) = 2(3)^{x - 4}[/tex] , is [tex]h(x) = 4(3)^{x + 7} - 9[/tex]
What are exponential functions?When the expression of function is such that it involves the input to be present as an exponent (power) of some constant, then such function is called exponential function.
There usual form is specified below. They are written in several such equivalent forms.
The function h(x) is a translation of the exponential function given as
[tex]g(x) = 2(3)^{x - 4}[/tex]
We have to determine, the h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward of 9 units, and a horizontal shift to the right 7 units.
The function h(x) is vertically stretched by 2.
[tex]h(x) = 2 (2(3)^{x - 4})\\\\h(x) = 4((3)^{x - 4})[/tex]
Vertically shift upward by 9,
[tex]h(x) = 4((3)^{x - 4})\\\\h(x) = 4((3)^{x - 4})- 9[/tex]
And a horizontal shift to the right 7 units,
[tex]h(x) = 4((3)^{x - 7})- 9[/tex]
The function h(x) is a translation of the exponential function [tex]g(x) = 2(3)^{x - 4}[/tex] , is [tex]h(x) = 4(3)^{x + 7} - 9[/tex]
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find g(-3) g(2) g(4)
g(-3) = 0.5 =
[tex] \frac{1}{2} [/tex]
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g(2) as defined = 2
[tex]\huge\mathfrak\colorbox{white}{}[/tex]
g(4)= 8-4 = 4
Which graph shows the solution to the system of linear inequalities?
Answer:
this is answer
Step-by-step explanation:
To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equality sign. The graph of this equation is a line. If the inequality is strict ( < or > ), graph a dashed line.
Find the slope of the line 3x - y = 15
Answer:
3
Step-by-step explanation:
Rearrange in the slope-intercept form :
3x - y = 15y = 3x - 15Comparing this to the standard equation :
y = mx + cm = slopec = y-interceptOn comparing, it is clear that the slope of the line is 3I need help in this question
Answer:
I am not entirely sure but The maximum is 500 and b $0.50
Solve 12x
x + 16 - 1 = 0
Answer:
xx=-0.8
Step-by-step explanation:
not sure if this is right because the 12xx is kind of strange
12xx+16-1=0
12xx+15=0
12xx=-15
12/12xx=12/-15
xx=-.8
How many terms are in this expression?
9x3+1+z
Right triangles and trigonometry
Answer:
x = 13.83
Step-by-step explanation:
[tex]sin(70^{o}) =\frac{13}{x}[/tex]
[tex]x=\frac{13}{sin(70^{o} )} =13.83[/tex]
Hope this helps
What is the area of this figure? Please help.
The area of the composite figure can be found by summing the whole area that made up the figure. Therefore, the area of the figure is 213.5m²
Area of a composite figureThe area of the composite figure is the sum of the area of the whole figure.
Therefore, the composite figure can be divided into 2 triangles and two rectangles.
Hence,
area of triangle1 = 1 / 2 × 10 × 13 = 65 m²
area of the triangle2 = 1 / 2 × 15 × 7 = 52.5 m²
area of the rectangle1 = 8 × 3 = 24 m²
area of rectangle2 = 7 × 6 = 42 m²
area of rectangle3 = 5 × 6 = 30 m²
Therefore,
area of the composite figure = 65 + 52.5 + 24 + 42 + 30 = 213.5 meters squared
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A Ferris wheel has a diameter of 60 m, with a minimum height of 9 m above the
ground. It takes 20 seconds for the Ferris wheel to complete one rotation. If a rider
boards a car when it is at its lowest point
O: What is the minimum height of the rider?
A: Minimum height of the rider is __ meters.
No Links Or I’ll Report You
By knowing geometrical dimensions, the minimum height of the rider in the Ferris wheel, modeled by a sinusoidal function, is equal to a height of 9 meters.
How to analyze a Ferris wheel
The model of the height of a Ferris wheel is represented by a sinusoidal model, which is presented below:
h = A + B · sin ωt (1)
Where:
A - Midpoint height, in meters. B - Amplitude, in metersω - Angular frequency, in radians per second.t - Time, in secondsSinusoidal functions are bounded functions, the minimum height of the Ferris wheel represents the lower bound of the function and the maximum height is the upper bound. Therefore, the minimum height of the rider is:
[tex]h_{min} = 39\,m - 30 \,m[/tex]
[tex]h_{min} = 9\,m[/tex]
By knowing geometrical dimensions, the minimum height of the rider in the Ferris wheel, modeled by a sinusoidal function, is equal to a height of 9 meters.
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| 3. Two lines are intersecting. What is the
value of x?
(x+23)
(2x + 4)°
Answer:
Step-by-step explanation:
2x + 4 + x + 23 = 180
3x + 27 = 180
3x = 153
x = 51
In which of the following do you expect the correlation coefficient to be negative?
Please help!!
From the four graphs presented, it is expected the only one with a negative correlation coefficient is the third graph or graph c.
What is a negative correlation?This occurs when the two variables analyzed go in opposite direction, which means one increases and the other decreases.
How is this represented in a graph?In a graph, a negative correlation coefficient is related to a negative slope.
This negative slope can be seen in the third graph or graph C.
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scale drawing of a tree is 4% of the size of the actual tree. The height of the tree in
me drawing is 6 inches. What is the height of the actual tree, in feet?
how your work.
