Here,
We know that,
[tex] \large \bf \: Distance= \sqrt{(x_2 - x_ 1) {}^{2} + (y_ 2 -y_1) {}^{2} } [/tex]
x1= -9x2 = -1 y1 = 8y2 = 8So ,
Putting the value of x and y in the given formula
We get,
[tex]\large\sf{ \: = \sqrt{ \{ \: - 1 - ( - 9) \} {}^{2} + (8 - 8) {}^{2} } \: }[/tex]
[tex]\large\sf{ = \sqrt{(8) {}^{2} + (0) {}^{2} } }[/tex]
[tex]\large\sf{ \: = \sqrt{64 + 0} }[/tex]
[tex]\large\sf{ = \sqrt{64} }[/tex]
[tex]\large\bf \blue { = 8 \: unit}[/tex]
Thus,
distance between (-9, 8) and (-1,8) is in 8 units.[tex] {\underline {\underline{ \rule{200pt}{8pt}}}}[/tex]
When rolling two dice, what’s the probability that the outcomes are greater than 9
Answer:6??
Step-by-step explanation:
a man is standing on the edge of a cruise ship for animals with his binoculars he sees a seagull at an angle of eleevatuoj of 27 degrees and his binoculars tell him that the seagull is 94 feet away he also notices a dolphin at an angle of deepens ion it 46 degrees and knows that his binoculars eyesight is 44 feet agout lenses level solve for how high the seagull is above sea level and how far the man binoculars are from the dolphin
The seagull is approximately 47.86 feet above sea level, and the man's binoculars are approximately 46.25 feet away from the dolphin.
Let's denote the height of the seagull above sea level as "h" and the distance between the man's binoculars and the dolphin as "d."
For the seagull:
We have the angle of elevation as 27 degrees and the distance from the man's binoculars as 94 feet.
Using the tangent function, we can write:
tan(27 degrees) = h / 94
Solving for h, we have:
h = 94 × tan(27 degrees)
For the dolphin:
We have the angle of depression as 46 degrees and the distance from the man's binoculars as 44 feet (lenses level).
Using the tangent function, we can write:
tan(46 degrees) = h / d
Solving for d, we have:
d = h / tan(46 degrees)
Now, let's calculate the values:
h = 94 × tan(27 degrees) ≈ 47.86 feet
d = (47.86 feet) / tan(46 degrees) ≈ 46.25 feet
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For any positive number b not equal to 1 and any number or variable n,
evaluate the following expression.
blog =
For any positive number b not equal to 1 and any number or variable n, note that when evaluated, logb(bⁿ) = n.
What is a positive number?A positive number is any integer that signifies something other than zero. Positive numbers include natural or counting numbers such as 1,2,3,4,5, fractions such as 3/5 or 232/345, and decimals such as 44.3.
Given logb(bⁿ) and b is any positive number, not equal to 1 and n is any number
If Logₓ ([tex]y^{z}[/tex]) = z * logₓ (y)
Then
Log[tex]_{b}[/tex] (bⁿ) = n * Log[tex]_{b}[/tex] (b)
If logₓ(y) = log[tex]_{z}[/tex](y) / log[tex]_{z}[/tex](x)
Then
Log[tex]_{b}[/tex] (b) = log[tex]_{z}[/tex] (b)/log[tex]_{z}[/tex] (b) = 1
Therefore,
Log[tex]_{b}[/tex] (bⁿ) = n * Log[tex]_{b}[/tex] (bⁿ)
= n x 1
= n
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Full Question:
Although part of your question is missing, you might be referring to this full question:
For any positive number b not equal to 1 and any number or variable n, evaluate the following expression.
logb(b^n) =
with logb being the base
18/6+5e-0.1x
Let f(x) =
What is f(6)?
Enter your answer in the box rounded to the nearest tenth.
The value of the function [tex]\rm f (x) = \frac{18}{6} + 5e^{-0.1x}[/tex] at x = 6 will be 5.744.
Given that:
Function, [tex]\rm f (x) = \frac{18}{6} + 5e^{-0.1x}\ \ or \ \ f (x) = 3+ 5e^{-0.1x}\\[/tex]
A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The value of the function at x = 6 is calculated as,
[tex]\rm f (x) = 3+ 5e^{-0.1\times 6}\\\\f (x) = 3+ 5e^{-0.6}[/tex]
Simplify the equation further, then we have
f(x) = 3 + 5 · 0.5488
f(x) = 3 + 2.744
f(x) = 5.744
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. Two popcorn boxes are shown below. The boxes
have congruent openings and equal heights. If
the larger box of popcorn sells for $3.00, what
is a fair price for the smaller box?
The fair price for the smaller box should be $1.00.
How do we calculate?From the question, we have that the larger box of popcorn sells for $3.00 and the two boxes have congruent openings and equal heights, we then can make the assumption that the only difference between them is their volume.
The volume of a pyramid is found using the formula:
V = (1/3) B* h,
where 'B'= base area
'h' = height of the pyramid
In conclusion, we can say that The fair price for the smaller box should be $1.00 because a pyramid is 1/3 the volume of a prism.
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The complete question is attached
452.25 ÷ 10.5 what is the answer to this please tell me
Answer:
43.07
Step-by-step explanation:
remove the decimals and divide them as whole numbers then after the successful division return the decimal places according to the number of decimal places in each that is minus the number of decimal places in the divisor from the numbers of decimal places in the dividend
how do you plot ratios and rates as ordered pairs on the coordinate plane.?
Answer: To plot ratios and rates as ordered pairs on the coordinate plane, you can follow these steps:
Understand the ratio or rate: Make sure you understand the meaning and value of the ratio or rate you are working with. A ratio compares two quantities, while a rate compares two quantities with different units.
Choose a coordinate system: Set up a coordinate system on the plane with an x-axis and a y-axis. Determine the range of values you want to plot on each axis based on the given ratio or rate.
Determine the values for the axes: Assign the x-axis and y-axis values based on the given ratio or rate. For ratios, you can assign the values of the ratio to the x and y axes directly. For rates, you will need to convert the rate into a ratio by choosing a unit for one of the quantities.
Plot the points: Use the values obtained from step 3 as the x and y coordinates for each ordered pair. Plot the points on the coordinate plane.
Connect the points (if applicable): If you have multiple points, you can connect them with a line to show the relationship between the ratios or rates.
Label the axes and title the graph (if applicable): Add labels to the x and y axes to indicate the quantities being compared. You can also add a title to the graph to describe the relationship being represented.
Step-by-step explanation:
Place the indicated product in the proper location on the grid.
(m 3n + 8)(m 3n - 5)
The value of the product of expression is,
⇒ m⁶n² + 3m³n - 40
We have to given that;
Expression is,
⇒ (m³n + 8) (m³n - 5)
Now, We can product the expression is,
⇒ (m³n + 8) (m³n - 5)
⇒ m⁶n² - 5m³n + 8m³n - 40
⇒ m⁶n² + 3m³n - 40
Thus, The value of the product of expression is,
⇒ m⁶n² + 3m³n - 40
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23. Loom bands come in packs of 100. Natalie has 7 full packs and 57 other bands.
What decimal represents the number of packs of loom bands that Natalie has?
The decimal that represents the number of packs of loom bands that Natalie has is 7.57.
We can see that Natalie has 7 full packs of loom bands, which is a total of:
7*100= 700 loom bands
In addition, she has 57 other bands, making a total of:
700+57 =757 loom bands.
Now to find the decimal that represents the number of packs Natalie has, we need to divide the total number of loom bands by 100, since there are 100 bands in each pack. Thus, we have:
757 / 100 = 7.57
Therefore, the decimal that represents the number of packs of loom bands that Natalie has is 7.57.
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. Tommy has started in a total of 109 RHS games, all football and baseball. The number of baseball games he started was five less than twice the number of football games he started. How many football games did Tommy start?
Answer:
Let's denote the number of football games Tommy started as "f" and the number of baseball games he started as "b."
We're given two pieces of information:
Tommy has started a total of 109 RHS games:
f + b = 109 (Equation 1)
The number of baseball games he started was five less than twice the number of football games he started:
b = 2f - 5 (Equation 2)
We can solve this system of equations to find the value of "f," which represents the number of football games Tommy started.
Substitute Equation 2 into Equation 1:
f + (2f - 5) = 109
Combine like terms:
3f - 5 = 109
Add 5 to both sides:
3f = 114
Divide both sides by 3:
f = 38
Therefore, Tommy started 38 football games.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Tommy started with 71
An earthquake with a rating of 7.8 is
known to be a great earthquake that can
cause damage that extends several
hundred kilometers.
The value of x when the Richter scale rating is 7.9, rounded to the nearest whole number, is approximately 79,432,823.
The formula relating the Richter scale rating (r) and the intensity ratio (x) is r = log(x). To find the value of x when r is 7.9, we can rearrange the formula and solve for x,
x = 10ʳ
Substituting r=7.9 into the formula, we get,
[tex]x = log((10)^{7.9} )[/tex]
Using a calculator, we get,
x ≈ 79432823.09
Rounding this to the nearest whole number, we get,
x ≈ 79432823
Therefore, the value of x when the Richter scale rating is 7.9, rounded to the nearest whole number, is approximately 79,432,823.
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Complete question - What is the value of x when the Richter scale rating is 7.9 round your answer to the nearest
r=log x
r=rating of the earthquakes size on the Richter scale
x=ratio of earthquake intensity to a minimum level of intensity
A rectangular sticker has an area of 55 square mm and a perimeter of 32 mm. What are the dimensions of the sticker
The calculated dimensions of the sticker are 11 mm by 5 mm
How to determine the dimensions of the stickerFrom the question, we have the following parameters that can be used in our computation:
shape = rectangle
perimeter = 32 mm
Area = 55 square mm
Represent the dimensions of teh sticker with x and y
So, we have
Area = xy
Perimeter = 2(x + y)
substitute the known values in the above equation, so, we have the following representation
xy = 55
2(x + y) = 32
So, we have
xy = 55
x + y = 16
When x = 11 and y = 5, we have
11 * 5 = 55
11 + 5 = 16
Hence, the dimensions of the sticker are 11 mm by 5 mm
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A 50.0 mL aliquot of a 1.25 M solution of glucose (C6H12O6) is added to 100.0 mL of pure water. What is the molarity of the resulting solution? A) 0.26 M B) 0.35 M C) 0.42 M D) 0.67 M E) 0.125 M
The molarity of the resulting solution is 0.42 M (rounded to two significant figures), which is option C.
To solve this problem, we can use the equation:
M₁V₁= M₂V₂
where M₁ is the initial molarity, V₁ is the initial volume, M₂ is the final molarity, and V₂ is the final volume.
We are given that the initial volume is 50.0 mL and the initial molarity is 1.25 M. We are also told that 100.0 mL of water is added to the solution, so the final volume is 50.0 mL + 100.0 mL = 150.0 mL.
Plugging these values into the equation, we get:
(1.25 M)(50.0 mL) = M2(150.0 mL)
Solving for M₂, we get:
M₂ = (1.25 M)(50.0 mL) / (150.0 mL) = 0.4167 M
Therefore, the molarity of the resulting solution is 0.42 M (rounded to two significant figures), which is option C.
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Find the average value of f(x) = √81 - ² over the interval [0, 9].
Write the exact answer.
fave
1
Hint: The area of a quarter circle is ².
4
Submit Question
The average value of f(x) over the interval [-14, 14] is 0.
The average value of the function f(x) = 14 - |x| over the interval [-14, 14] we need to use the formula:
[tex]f_{ave[/tex] = (1/(b-a)) × integral(a to b) f(x) dx
a and b are the limits of integration.
a = -14 and b = 14.
So we have:
[tex]f_{ave[/tex] = (1/(14 - (-14))) × integral(-14 to 14) (14 - |x|) dx
Simplifying the integral get:
[tex]f_{ave[/tex] = (1/28) × integral(-14 to 0) (14 + x) dx + (1/28) × integral(0 to 14) (14 - x) dx
Evaluating the integrals get:
[tex]f_{ave[/tex] = (1/28) × [(14x + (x²)/2)|(-14 to 0) + (-14x + (x²)/2)|(0 to 14)]
[tex]f_{ave[/tex] = (1/28) × [(0 + 98) + (-196 + 98)]
[tex]f_{ave[/tex] = (1/28) × 0
f_ave = 0
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Solve for w.
W
9
10
||
45
Answer:
W=26........
Step-by-step explanation:
26+9+10=45
Can u help please this is extremely hard for mr
Answer:
79632 cu ft
Step-by-step explanation:
The volume of a rectangular prism is length x width x height. We are given the values 158 ft by 80 ft by 6.3 ft. All we do is multiply all 3 values by each other, (158)(80)(6.3). The answer after multiplying is 79632 cubic feet.
Maliha has 4 gallons of lemonade.
Jazmine has 5 times as much lemonade
as Maliha. How many quarts does
Jazmine have?
1 gallon = 4 quarts
Jazmine has 80 quarts of lemonade, which is 5 times the amount Maliha has (16 quarts).
We are given that Maliha has 4 gallons of lemonade. To find out how much lemonade Jazmine has, we need to calculate 5 times the amount Maliha has.
To convert the gallons to quarts, we know that 1 gallon is equal to 4 quarts.
Therefore, Maliha has 4 x 4 = 16 quarts of lemonade.
Now, since Jazmine has 5 times as much lemonade as Maliha, we can calculate Jazmine's amount by multiplying Maliha's amount (16 quarts) by 5.
Jazmine's lemonade = 16 quarts x 5 = 80 quarts.
Hence, Jazmine has 80 quarts of lemonade.
This can be understood as follows:
Maliha's 4 gallons of lemonade can be converted to 16 quarts (4 gallons x 4 quarts/gallon). Jazmine, on the other hand, has 5 times as much lemonade as Maliha.
Therefore, we multiply Maliha's amount (16 quarts) by 5 to find Jazmine's amount, which equals 80 quarts.
It's important to note that 1 gallon is equal to 4 quarts, which is a conversion factor used to convert between the two units of measurement.
By applying this conversion factor, we can determine the amount of lemonade in quarts for both Maliha and Jazmine.
In conclusion, Jazmine has 80 quarts of lemonade, which is 5 times the amount of lemonade Maliha has (16 quarts).
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If p(x)=0.5(x-5)^2+14, what is the value of p(3)
Answer:
p(3) = 16
Step-by-step explanation:
to evaluate p(3) substitute x = 3 into p(x)
p(3) = 0.5(3 - 5)² + 14
= 0.5(- 2)² + 14
= 0.5(4) + 14
= 2 + 14
= 16
x-intercepts of y=x^2+8x+7
What is y and x equal to ?
The value of the variables will be 90° and 51°, respectively.
It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
The angle at the periphery will be 90 degrees if it is made by the largest chord which is the diameter. Then we have
x = 90°
The sum of the angles of the triangle will be 180 degrees. Then the value of 'y' is calculated as,
39° + x + y = 180°
39° + 90° + y = 180°
y = 51°
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or Find the value of the expression 20 − 9 ÷ m × 2 × n for m = 3 and n =
The value of the expression 20 − 9 ÷ m × 2 × n for m = 3 and n = 2 is 8
How to find the value of the expressionFrom the question, we have the following parameters that can be used in our computation:
20 − 9 ÷ m × 2 × n
The values of m and n are given as
m = 3 and n = 2
Substitute the known values in the above equation, so, we have the following representation
20 − 9 ÷ 3 × 2 × 2
Evaluate the quotient
So, we have
20 − 3 × 2 × 2
Evaluate the products
So, we have
20 − 12
Evaluate the difference
So, we have
8
Hence, the value of the expression is 8
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Find the sum of -17x,-15x,-2x
32.6 ÷ 1 =
32.6 ÷ 10 =
32.6 ÷ 100 =
Answer:
32.6
3.26
0.326
Step-by-step explanation:
You could use long division or a calculator to get these quotients (answers to division problems) but, probably you're supposed to see the pattern of how the decimal moves when you divide by 1, 10, 100 (these are powers of 10)
● Divide by 1, decimal does not move
● Divide by 10, the decimal moves left one place
● Divide by 100, the decimal moves left two places
triangular prism and its dimensions in centimeters are shown in the diagram.
What is the total surface area of the prism in square centimeters?
A. 720 cm^2
B. 600 cm^2
C. 460 cm^2
D. 520 cm^2
The total surface area of the triangular prism is equal to 520 square centimeters. (Correct choice: D)
How to determine the total surface area of a triangular prismIn this problem we find the case of a triangular prism, which has two triangular faces and three rectangular faces. We must determine the total surface area with the help of the following area formulas:
Rectangle
A = b · h
Triangle
A = 0.5 · b · h
Where:
b - Base, in centimetersh - Height, in centimetersA - Area, in square centimeters.Now we proceed to determine the total surface area of the prism:
A = 2 · 0.5 · (15 cm) · (8 cm) + (10 cm) · (8 cm) + (17 cm) · (10 cm) + (15 cm) · (10 cm)
A = 120 cm² + 80 cm² + 170 cm² + 150 cm²
A = 520 cm²
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Write your answer in scientific notation.
The difference of the expression in scientific notation is 1.2 * 10⁸
Evaluating the expression in scientific notationFrom the question, we have the following parameters that can be used in our computation:
(5.6 * 10⁸) - (4.4 * 10⁸)
Factor out 10⁸ from the expression
So, we have
(5.6 * 10⁸) - (4.4 * 10⁸) = (5.6 - 4.4) * 10⁸
Evaluate the difference
(5.6 * 10⁸) - (4.4 * 10⁸) = 1.2 * 10⁸
Hence, the difference of the expression in scientific notation is 1.2 * 10⁸
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[45- (25+8)] X 18 PLS
By using the BODMAS rule, Where
B stands for the bracket, O stands for of, D stands for division, M stands for multiplication, A stands for addition, and S stands for subtraction
so ,now
[tex][45-(25+8)]*18\\[/tex]
[tex][45-33]*18\\=216\\[/tex]
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Answer:
216
Step-by-step explanation:
[45- (25+8)] X 18 =
assuming the capitalized x is a multiplicationRemember PEMDAS
[45 - (25 + 8)] × 18 =
[45 - 33] × 18 =
12 × 18 =
216
5x = 135. What is the value of x?
Answer:
Step-by-step explanation:
17
5 divided by 135
what is the area of the figure above?
The area of the given figure is 12/25 cm²
According to the question, one grid represents 1/5 cm.
So, the dimensions of the shown rectangle are as follows:
Length of the rectangle = 4 grids = 4 × 1/5 cm = 4/5 cm
Width of the rectangle = 3 grids = 3 × 1/5 cm = 3/5 cm
As we know that the area of a rectangle is defined as the product of the length and width.
The area of the figure = Length of the rectangle × Width of the rectangle
The area of the figure = 4/5 cm × 3/5 cm
The area of the figure = 12/25 cm²
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Which coordinate is a zero of the function defined by 3x^2 – 15x – 18?
Answer:
[tex]3 {x}^{2} - 15x - 18 = 0[/tex]
[tex] {x}^{2} - 5x - 6 = 0[/tex]
[tex](x + 1)(x - 6) = 0[/tex]
x = -1 or x = 6
The coordinates of the zeroes are (-1, 0) and (6, 0).
on the importance of setting Comment on in the novel
The setting of a novel is important because it provides the reader with context on the time, place, and environment that the story takes place in.
Why is setting important ?It aids in setting the tone, showcasing personalities and tensions, and offering hints about the story's message.
One can establish an ambiance or emotional tone in a novel by means of its setting. One illustration can be seen in the book "The Great Gatsby" authored by F. Scott Fitzgerald uses the backdrop of the Jazz Age to generate a feeling of splendor and exhilaration.
The rapid tempo of the book mirrors the busy lives led by the characters, while the opulent festivities and luxurious habits of the affluent are employed to cultivate an air of indulgence and debauchery.
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The full question is:
On the importance of setting in the novel, comment on how it can be used to create a sense of realism, atmosphere, and meaning?