Answer:
1/90Step-by-step explanation:
To find this out you just need to multiply 1/6 by 1/15. Doing so will get you 1/90
If the Earth's real diameter is 12,756km and the Earth's model diameter is 25mm, what is Jupiter's model diameter if the real diameter is 142,984km?
Jupiter's model diameter will be 280 mm, if the real diameter is 142,984km?.
What is Proportion?Proportion can be referred to as a part, share, or number considered in comparative relation to a whole. Proportion is defined as when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
real diameter : model diameter
12,756 : 25
142,984 : x
where x is the model diameter of jupiter
x = (25 x 142,984) / 12,756
x = 280 mm
Therefore, the model diameter of Jupiter is 280mm
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If triangles ABC and DEF are similar, what is y? Show your work.
The value of y is 18
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.
Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.
Therefore;
14/21 = 12/y
14y = 21 × 12
14y = 252
divide both sides by 14
y = 252/14
y = 18
Therefore the value of y is 18.
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Solve the equation for all values of x.
|5x + 8| 8 = 3x
The graph of the function f is shown. The domain of f is [0, 50]. What is the range of g(x) = 4f(x)?
Answer:
[0,7]
Step-by-step explanation:
4 x 50 is 200 and the range is 4 x 1.75. So the range is 4 x 1.75 = 7.0 so [0,7] and the domain would be [0, 200]
The range of the function g(x) will be 4 times the function f(x) that is [0, 7].
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
If the vertex of the absolute function is at (h, k). Then the absolute function is given as
f(x) = |x - h| + k
The domain means all the possible values of x and the range means all the possible values of y.
The graph of the function f is shown. The domain of f is [0, 50].
Then the range of the function g(x) will be 4 times of the function f(x)
Range = 4 × [0, 1.75]
Range = [0, 7]
The range of the function g(x) will be 4 times the function f(x) that is [0, 7].
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Which of the following coordinates exists on the line y = 2x + 4?
A. (2, 4)
B. (1, 5)
C. (-3, -2)
D. (-1, 3)
question 3, thanks for the help :)
Answer:
The slope of the line passing through (1, 2) and (3, 8) is:
Slope = 3
Step-by-step explanation:
Given the points
(1, 2)(3, 8)Here:
(x₁, y₁) = (1, 2)
(x₂, y₂) = (3, 8)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [8 - 2] / [3 - 1]
= 6 / 2
= 3
Thus, the slope of the line passing through (1, 2) and (3, 8) is:
Slope = 3
Determine whether the geometric series 192 + 48 + 12 + ... converges or diverges, and identify the sum if it exists.
A.) Converges: 768
B.) Diverges
C.) Converges; 64
D.) Converges; 256
Answer:
D.) Converges; 256
Step-by-step explanation:
x0= 192
x1 = 48 = 192/4
x2 = 12 = 192/(4 x 4)
Therefore, this series can be written as:
\(x_n = \frac{192}{4^n}\)
Applying limits at infinity:
\(\lim_{n \to \infty} x_n= \lim_{n \to \infty} (\frac{192}{4^n}) = \frac{192}{\infty}=0\)
Since the terms of the series tend to zero, we can affirm that the series converges.
The sum of an infinite converging series is:
\(S=\frac{x_0}{1-r} \\S=\frac{192}{1-\frac{1}{4} }\\S=256\)
Thus, the answer is D.) Converges; 256
Denise is helping her dad build a clubhouse that is shaped like a rectangular prism. The height will be 8 ft and the length will be 6 ft. If the volume of the clubhouse will be 288 ft. ^3, what will be the width? PLSSSS HELP I WILL MARK U THE BRAINLIEST
Answer:
Any rectangle has two diagonals that are congruent to each other. Furthermore, it can be shown that if the two diagonals of a parallelogram are equal.
Step-by-step explanation (PLEASE READ AND DON'T SKIP UNTIL YOU SEE THE ANSWER!!!!!):
When you see this answer it might be complex or just challenging. But since we know that 8x6 is already 48, we need something equal to 240 when you multiply it. As 8x6 (and times the missing number). Now, what can you multiply by 8x6 to get a total of 288? The answer is simple, 6. So it means that when you multiply 8x6x6 you get a total of 288. Or also as (8x6)x6=288.
Hope this helps! Please rate this a 4+ star if it totally helped you nail your test! Or rate this a heart with the brainliest. Or both ;) .
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Use the given equivalents, along with dimensional analysis, to convert the given unit to the unit indicated.
65 lb to g
The conversion of the measurement of 65 lb will be 29483.5 g.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
In this case, we need to convert 65 lb to g
It should be noted that we have to multiply the weight value by 453.5
Therefore, it should be noted that 65 lb will be:
= 65 x 453.5
= 29483.5 g.
Therefore, it should be noted that the conversion of the measurement of 65 lb will be 29483.5 g.
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select a random integer from -200 to 200. which of the following pairs of events re mutualyle exclusive
The pairs of events of random integers are pairs of events are,
even and odd , negative and positive integers, zero and non-zero integers.
Two events are mutually exclusive if they cannot occur at the same time.
Selecting a random integer from -200 to 200,
Any two events that involve selecting a specific integer are mutually exclusive.
For example,
The events selecting the integer -100
And selecting the integer 50 are mutually exclusive
As they cannot both occur at the same time.
Any pair of events that involve selecting a specific integer are mutually exclusive.
Here are a few examples,
Selecting an even integer and selecting an odd integer.
Selecting a negative integer and selecting a positive integer
Selecting the integer 0 and selecting an integer that is not 0.
But,
Events such as selecting an even integer and selecting an integer between -100 and 100 are not mutually exclusive.
As there are even integers between -100 and 100.
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8. Identify the point corresponding to P.
Answer:
So I might not be understanding, but P is at (-4,0) and Q is at (-1,-3)
Jake measured a hotel and made a scale drawing. The scale of the drawing was 8 inches : 7 feet. If the actual length of a room in the hotel is 21 feet, how long is the room in the drawing?
Jake measured a hotel and made a scale drawing, the length of the room in the drawing is 24 inches.
If the scale of the drawing is 8 inches : 7 feet, this means that for every 8 inches in the drawing, there are 7 feet in real life.
To find out length of the room is in the drawing, we need to set up a proportion:
8 inches / 7 feet = x inches / 21 feet
where x is the length of the room in the drawing.
We can cross-multiply and solve for x:
8 inches × 21 feet = 7 feet × x inches
168 inches = 7 feet × x inches
Dividing both sides by 7, we get:
24 inches = x
Therefore, the length of the room in the drawing is 24 inches.
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X=91° and y=42° what is z?
Here, we just need to add x and y and subtract it from 180.
x + y = 91 + 42 = 133.
180 - 133 = 47.
Hence, z = 47 degrees.
Answer:
47°
Step-by-step explanation:
straight line = 180° we remove the angles x and y and find z
180 - 91 - 42 =
47°
What's the area please help?
Answer:
48 units^2
Step-by-step explanation:
So i split the arrow to make it just one rectangle and one triangle
Area of rectangle
= 4×10
= 40 units^2
Area of triangle
= (12-10)×8×1/2
= 2×4
= 8 units^2
Total area of the arrow
= 40+8
= 48 units^2
what is 6/5÷7/1 can u tell me pls
Answer:
6/35
Step-by-step explanation:
6/5÷7/1=6/5 x 1/7 = 6/35
Answer:
6/35
Step-by-step explanation:
PLS HELP FAST!!!!!!!!!!!
Answer:$24,000
Step-by-step explanation:12 times 2 percent of option 2 is $24,000
once again id love help ^^
Answer:
384
do a triangle and a rectangle....hmu if you need more help
Como divido esto 65/725?
Answer:
Multiplicar el divisor por la unidad seguida de tantos ceros como cifras decimales queramos eliminar (3,6 x 10 = 36).
Multiplicar el dividendo por el mismo número que hayamos multiplicado el divisor (278 x 10 = 2780).
Answer:
블랙핑크
Step-by-step explanation:
plz help me on this geometry i suck plz i will give brainly
Answer:
The shed that Vicky and Jim will use is the second shed (length | 4 [] width | 2 1/4), because the height length is 7.
4 x 2.25 = 9
63 divided by 9 = 7
(First Shed) 5 x 2.20 = 11
66 divided by 11 = 6
7 > 6
7 = Height of First Shed
The first shed will be used to store the new lawnmower since it is the taller shed.
Find the general expression for the slope of a line tangent to the curve of y = 2x² + 4x at the point P(x,y). Then find
the slopes for x = -2 and x = 0.5. Sketch the curve and the tangent lines.
EXE
What is the general expression for the slope of a line tangent to the curve of the function y = 2x² + 4x at the point
P(x,y)?
mtan=?
Answer:
general slope: y' = mtan = 4x +4slope at x = -2: -4slope at x = 0.5: +6Step-by-step explanation:
You want the slope of a line tangent to the curve y = 2x² +4x, and a graph of the tangent lines at x=-2 and x=0.5.
SlopeThe slope of the curve is given by the derivative of the polynomial:
y' = 4x +4 . . . . . . general expression for slope at P(x, y)
Tangent at x=-2The slope at x = -2 is ...
y' = 4(-2) +4 = -4
The value of y at x=-2 is ...
y = (2(-2) +4)(-2) = 0
In point-slope form, the equation of the tangent line with slope -4 at point (-2, 0) is ...
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
y -0 = -4(x +2) . . . . . line with slope -4 through point (-2, 0)
y = -4x -8 . . . . . tangent line at x = -2
Tangent at x = 0.5The slope at x = 0.5 is ...
y' = 4(0.5) +4 = 6
The function value is ...
y = (2(0.5) +4)(0.5) = 2.5
The point-slope equation of the tangent is ...
y -2.5 = 6(x -0.5) . . . . . tangent line at x = 0.5
__
Additional comment
The derivative of a function y can be signified by a prime: y'. The derivative is the slope. The slope of the curve is the same as the slope of a tangent to the curve, so we have ...
mtan = y' = 4x+4
Solve m4=21
m=
BEST ANSWER GETS BRAINLIEST
please help!
this is due by tonight
Answer:
6
Step-by-step explanation:
The two triangles are similar which means the the two length is parallel
.°., the Length of the smaller triangle=6
Does anyone knows how much is 3x X x? Plz help
3x – 2y = -6
y = 1.5x + 3
What is the solution to the system
Answer:
The answer is D infinitely many
Step-by-step explanation:
The amount of money earned varies directly as the number of hours worked. After working 14 hours, Joe earned $119. How
much would Joe earn for working 20 hours?
Joe earned $140 for working 20 hours
To determine the value of a single unit from a specified multiple, use the unitary technique. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.
Joe worked 14 hours and earned = $119
Joe worked for 1 hour and earned = $ 119/ 14
Joe worked for 20 hours and earned = $ 119/ 14 x 20
= 4140
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The population of a town is predicted to grow according to the following model:
P = 15e0.012r
where P represents the number of people in thousands and t is the number of years since 2020. Find
the predicted population in the year 2030. Round your answer to nearest person
O 16,912 people
O 16,913 people
O 16 people
O 17 people
The predicted population in the year 2030 is 10 people
How to determine the predicted population in the year 2030From the question, we have the following parameters that can be used in our computation:
Population function, P(t)= 15е⁻⁰.⁰¹²⁺
Also from the question, we have
The variable t represents the number of years since 2020
This means that the value of t in 2030 is
t = 2030 - 2020
t = 10
So, we have
P(10)= 15е⁻⁰.⁰¹² ˣ ¹⁰
Evaluate the above products
P(10)= 15е⁻⁰.¹²
Evaluate the exponents
P(10)= 13.30
Approximate the above expression
P(10) = 13
This means that the number of people is 13
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Find the product
3(z+4)(x-5)
Answer:
3zx-15z+12x-60
Step-by-step explanation:
first do parenthesis and distribute (z+4)(x-5) into zx-5z+4x-20
then distribute the 3 to get the answer
Solve the equation using the distributive property and properties of equality.
1/2(x+6) = 18
What is the value of x?
O 6
O7 1/2
O 14 1/2
0 30
Answer:
x = 30
Step-by-step explanation:
1/2(x+6) = 18
Expand brackets or use distributive law.
1/2(x) + 1/2(6) = 18
1/2x + 6/2 = 18
1/2x + 3 = 18
Subtract 3 on both sides.
1/2x + 3 - 3 = 18 - 3
1/2x = 15
Multiply both sides by 2.
(2)1/2x = (2)15
x = 30
Answer:
30
Step-by-step explanation:
4. Chelsea determined that the value of x in the triangle at the right was 5.
a. Find the value of each angle by substituting 5 for x.
b. Was Chelsea's solution, x = 5, correct? How do you know?
15x
x
11x
(8x+5)
Z
Step-by-step explanation:
a) 11*5=55
15*5=75
8*5+5=45
b) No, because (55+75+45=175°) and the perimeter of a triangle is 180°
what is -1.89 x 7.2 please help will mark brainliest
Answer:
-13.608
Step-by-step explanation:
-1.89 * 7.2
- (1.89 * 7.2)
- (13.608)
-13.608
Answer:
-13.608
Step-by-step explanation: