Answer:
16.3
Step-by-step explanation:
x/41 = 23/58, 58x = 943, x = 16.3
Answer:
KL≈16.26
Step-by-step explanation:
KL:41=58:23
(Ratio->Fraction)
KL/41=23/58
(Cross Multiply)
58KL=943
KL≈16.26
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What is the value of the expression 5ab - 2c, where a = 2, b = 3 and c=0?
A 8
B 28
C 30
D 503
Answer:
30
Step-by-step explanation:
5*2*3-2*0 ( when we multiply any number with zero then the result is also zero)
30-0
30
What describes the graph of y = - |x + 1| - 5?
The graph of y = - |x + 1| - 5 will be like an inverted "V" letter, such that the vertex is on the point (-1, -5).
What describes the graph of the given function?
The general absolute value function can be written as:
y = |x - a| + b
This function looks like a "V", such that the vertex of the graph is located at the point (a, b).
Particularly, if we have a negative sign before the absolute value part, like in:
y = -|x - a| + b
The "V" will open downwards.
In this case, the function is:
y = - |x + 1| - 5
In this case, the vertex will be at (-1, 5).
And we can see a negative sign before the absolute value part, so the graph opens downwards.
That is the description of the graph.
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1. What are the 3 conditions for a function to be continuous at xa? 2. the below. Discuss the continuity of function defined by graph 3. Does the functionf(x) = { ***
The three conditions for a function to be continuous at a point x=a are:
a) The function is defined at x=a.
b) The limit of the function as x approaches a exists.
c) The limit of the function as x approaches a is equal to the value of the function at x=a.
The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.
The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.
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write the equation of the line that passes through the points (1,6) and (9,-8). put your answer in fully reduced slope form, unless it is a vertical or horizontal line.
Answer:
Y = - 7/4 X + 31/4
Step-by-step explanation:
M = 14/-8 = - 7/4
6 = - 7/4 + B
24 = -7 + 4B
31 = 4B
B = 31/4
a circular pool is surrounded by a brick walkway 3 m wide. find the ra- dius of the pool if the area of the walk- way is 198 m*.
The radius of the pool is 9.01 m.
Given,
In the question:
A circular pool is surrounded by a brick walkway 3 m wide.
The area of the walk- way is 198 m^2.
To find the Radius of the pool.
Now, According to the question:
"Area of the circle bounded by the outside edge of the walkway" minus "area of the pool" = "area of the walkway".
Let R = Radius of the pool
Area of the circle bounded by the outside edge of the walkway is:
\(\pi\)(R +3)^2
Area of the pool is:
\(\pi R^2\)
Now, Our equation is:;
\(\pi\)(R +3)^2 - \(\pi R^2\) = 198
\(\pi\)((R+3)^2 - \(R^2\)) = 198
Open the inner bracket :
\(\pi\)(\(R^2+6R+9-R^2\)) = 198
\(\pi\)(6R +9) = 198
6R+9 = 198/\(\pi\)
6R = 198/\(\pi\) - 9
R = (198/\(\pi\) - 9)/6
R = (198/(3.14) - 9)/6
R = (63.057 - 9)/6
R = 54.057/6
R = 9.01 meters
Hence, The radius of the pool is 9.01 m.
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Write a simplified expression for the perimeter of the triangle.
6x - 1, 5x + 6, 9
Perimeter : __ Units
Answer:
6973 t u 6hud3w. don't knoow
Answer:
the answer is 11x+14
Step-by-step explanation:
(h\(2\) b\(\2\))/2
-4c^2+7, c=7a^2 solve for c
The answer is explained in the photo I have linked.
√42
What is the approximate value of the square root?
Enter your answer, rounded to the nearest tenth, in the box.
\(\sqrt{42}\) = 6.480≈ 6.50 (evaluating \(\sqrt{42}\) by long division)
steps to evaluate \(\sqrt{42}\) by long division
Begin by putting a bar on top of the digits on the right side. We only have one pair in this case (42).Find a number (z) such that z ×z ≤42. As a result, z will be 6 because 6× 6 = 36≤ 42.The quotient and remainder are both 6. Now we will add the divisor z by itself to obtain the new divisor (12).Put a decimal in the dividend and quotient parts after 6 at the same time. Also, after the decimal, add three pairs of zeros to the dividend part.Bring one pair of zeros down. As a result, our dividend is 600. Determine a number(m) such that 12m × m 600. As 124×4 = 496≤ 600, the number m will be 4.Repeat the previous step for the remaining two pairs of zeros.all the steps are done:{image attached}
Therefore,\(\sqrt{42}\) = 6.480≈ 6.50
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Over the last three hours, the external temperature dropped 174°F. What was the average temperature change each
hour?
the stream function for a two dimension, nonviscous, incompressible flow field is given by the expression where the stream function has the units of ft^2/s with x and y in feet. is the continuity equation satisfied? g
The continuity equation is satisfied and the flow is incompressible.
To check if the continuity equation is satisfied, we need to take the partial derivatives of the stream function with respect to x and y and see if they satisfy the continuity equation
Continuity equation: ∂u/∂x + ∂v/∂y = 0
where u and v are the x and y components of the velocity field, respectively.
From the definition of the stream function, we have
u = ∂Ψ/∂y = -2
v = -∂Ψ/∂x = -(-2) = 2
Taking the partial derivatives of u and v with respect to x and y, we have
∂u/∂x = 0, ∂v/∂y = 0
Substituting these values into the continuity equation, we get
∂u/∂x + ∂v/∂y = 0 + 0 = 0
Since the continuity equation is satisfied (resulted in zero), the flow is incompressible.
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The given question is incomplete, the complete question is:
The stream function for a two-dimensional, nonviscous, incompressible flow field is given by Psi = -2(x-y) where the stream function has the units of ft^2/s with x and y in feet. (a) Is the continuity equation satisfied?
Please Help I don't get this
Answer:
The choose (D)
Step-by-step explanation:
\( \frac{x - 16}{ {x}^{2} + 6x - 40 } + \frac{1}{x + 10} \\ = \frac{x - 16}{(x - 4)(x + 10)} + \frac{1}{x + 10} \\ = \frac{(x - 16) + (x - 4)}{(x + 10)(x - 4)} \\ = \frac{2x - 20}{(x + 10)(x - 4)} \\ = \frac{2x - 20}{ {x}^{2} + 6x - 40 } \)
A $1,000 TR Global bond at 80. 5 pays 6% interest. Find the interest. (Hint: Remember that a bond price of 90 on a $1,000 bond means that the bond sells for 90% of $1,000, or $900. )
The required interest as calculated from the given data equals $48.3 .
Given,
A $1,000 TR Global bond at an interest rate of 80.5 pays 6%.
A bond price of 90 on a $1,000 bond indicates that the bond will sell for $900, or 90% of $1,000.
Because we provided a $1,000 TR Global bond at 80.5 pays
means that 80% of $1,000 is used to fund the bond.
80.5% of $1,000 is equal to frac80.5100*1000=805.
The true cost is $805.
Currently, actual interest is 6%.
6% of $805= 6*100*805*0.06*805
=48.3
Final interest equals $48.3
Interest is calculated as Interest Rate * Balance or Principal.
Choosing the appropriate interest rate is frequently the more challenging part of calculating interest. The APR is typically used to denote the interest rate, which is frequently stated as a percentage.
The APR, however, frequently does not take compounding into account.
The actual rate of interest to be paid is expressed instead using the effective yearly rate.
To determine the appropriate interest earned over a specific period, an annual rate must frequently be converted.
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Equation C is an example of Distributive Property of Multiplication over Addition. It can be used
when you multiply a number by a sum. According to this property, you can add the numbers
and then multiply by 8 or you can first multiply each addend by 3. (This is called distributing
the 3. ) Then, you can add the products. C. 8x (3 + 4) = (8x 3) + (8x 4)
8x7= 24 + 32
2x (5+ 6) = (2x 5) + (2x 6)
Simplified form of the expression 8 ( 3 + 4 ) using the Distributive Property of Multiplication over Addition is 56
To apply the Distributive Property of Multiplication over Addition, you need to multiply the number outside the parentheses by each term inside the parentheses and then add the products together.
In this case, the number outside the parentheses is 8, and the terms inside the parentheses are 3 and 4. So, you can apply the distributive property as follows:
8 ( 3 + 4 ) = 8 × 3 + 8 × 4
Multiply the numbers
= 24 + 32
Add the numbers
= 56
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A team of four runners competed in the 100-meter relay race. The times for each racer are shown in the table.
Runner
Time (s)
Jared
12.36
Zachary
12.2
Danny
12.03
Jackson
11.85
The team's competition time is given by the total of the three fastest runners. What is this team's competition time?
O 36.24 seconds
36.08 seconds
35.55 seconds
36 09 seconds
Answer:
36.08 seconds
Step-by-step explanation:
The team's competition time is 36.08 seconds so option (B) will be correct.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given the times for each racer
The fastest runners will have the lowest time
So,
Lowest to highest time (time is increasing order) →
11.85 + 12.03 + 12.2 = 36.08
Since,
The team's competition time is given by the total of the three fastest runners
Hence "The team's competition time is 36.08 seconds so option (B) will be correct".
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yet another question for my final please answer and thanks in advance
Answer:
a. 7 ft
Step-by-step explanation:
\(\sin 4\degree = \frac{v}{100}\\\\
0.0697564737= \frac{v}{100}\\\\
v = 0.0697564737\times 100\\\\
v = 6.97564737\\\\
v \approx 7 \: ft\)
The sum of three consecutive odd integers is 75 . Find the value of the middle of the three.
The value of the middle of the three is 25.
Let x be the first odd integer, then the next two consecutive odd integers are x+2 and x+4. The sum of these three consecutive odd integers is given as 75, so we can write the equation:
x + (x+2) + (x+4) = 75
Simplifying the left side of this equation gives:
3x + 6 = 75
Subtracting 6 from both sides gives:
3x = 69
Dividing by 3 gives:
x = 23
So the first odd integer is 23, and the next two consecutive odd integers are 25 and 27. The middle of these three is the second consecutive odd integer, which is 25. Therefore, the value of the middle of the three is 25.
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Your cousin is driving you to a friend's house at an average speed of 35 mph in heavy traffic. Your friend lives 21 miles away. How long will it take you to get to her house?
За – 15b – 2c|
HELPPP!!
Answer:
what are solving it with??
a printed circuit board has eight different locations in which a component can be placed. if four different components are to be placed on the board, how many different designs are possible?
The number of different designs possible using combination is 70.
Using CombinationThe formula to calculate combinations is given by:
C(n, k) = n! / (k! * (n - k)!)where n is the total number of items, and k is the number of items to be chosen.
In this scenario, we have:
n = 8 (number of available locations)k = 4 (number of components to be placed)Plugging these values into the formula, we get:
C(8, 4) = 8! / (4! * (8 - 4)!)
8! = 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 40,320
4! = 4 * 3 * 2 * 1 = 24
Substituting the values:
C(8, 4) = 40,320 / (24 * 24) = 70
Therefore, there are 70 different designs possible.
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Generate an equivalent expression for 24x+18y by factoring out the GCF
The GCF of 24x and 18y is their greatest common factor
The equivalent expression of 24x + 18y is 6(4x + 3y)
How to determine the equivalent expression?The expression is given as:
24x + 18y
Express each term as the product of 6
24x + 18y = 6 * 4x + 6 * 3y
Factor out 6 from the expression
24x + 18y = 6 (4x + 3y)
Hence, the equivalent expression of 24x + 18y is 6(4x + 3y)
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a group of scientists discovered a small creature at the bottom of the ocean that they called a "piknit". when this interesting creature dies, it explodes itself into a number of baby piknits called gogles. the scientists randomly selected 20 piknits from the sea-floor and measured their respective weights in grams. after the piknits died they counted the number of gogles that each piknit produced. they wanted to know if the weight of the piknits can be used to predict the number of gogles.
As per the given correlation, the appropriate null and alternative hypothesis for calculating number of goggles is
H0 : No linear relation
H1 : there is a relation
What is meant by correlation?
In math, correlation is referred as a statistical measure that expresses the extent to which two variables are linearly related (meaning they change together at a constant rate).
And it is a common tool for describing simple relationships without making a statement about cause and effect.
Based on the given question, a group of scientist randomly selected 20 piknits from the sea-floor and measured their respective weights in grams.
And we also know that, they wanted to know if the weight of the piknits can be used to predict the number of gogles.
Here from the given information, the null hypothesis : H0 : There is no linear relationship between the weight of piknits and the number of goggles
And the Alternative hypothesis : Ha: There is a linear relationship between the weight of piknits and the number of gogles
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Matias has a planter that is full of soil. The planter is a rectangular prism that is 1 1/2 ft high, 3 2/3 ft long, and 2 ft wide. Matias pours all the soil into a new planger. The new planter is a rectangular prism that has a base area of 8 1/4 ft. What is the height of the soil in the new plater? I ready math
The height of the soil in the new planter is 2 20/33 ft.
To find the height of the soil in the new planter, we need to determine the volume of the soil in the original planter and divide it by the base area of the new planter.
Step 1: Find the volume of the soil in the original planter.
The volume of a rectangular prism can be calculated by multiplying the length, width, and height. In this case, the dimensions are given as 1 1/2 ft, 3 2/3 ft, and 2 ft respectively. To perform calculations with mixed numbers, it is helpful to convert them to improper fractions.
1 1/2 ft = 3/2 ft
3 2/3 ft = 11/3 ft
The volume is:
Volume = (3/2 ft) * (11/3 ft) * (2 ft)
= 22 ft³
Step 2: Find the height of the soil in the new planter.
The base area of the new planter is given as 8 1/4 ft. Again, convert the mixed number to an improper fraction.
8 1/4 ft = 33/4 ft
To find the height, divide the volume of the soil by the base area:
Height = Volume / Base Area
= (22 ft³) / (33/4 ft)
= 22 ft³ * (4/33 ft)
= 88/33 ft
= 2 20/33 ft
The height of the soil in the new planter is 2 20/33 ft.
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a truck driver drove 119 miles in 3 1/4 hours. how many miles did he drive per hour
The truck driver drive 36.61 miles per hour .
The unit method is a method of finding the value of one unit and then finding the value of the required number of units. For simplicity, always write what you calculate on the right and what you know on the left.The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.It is given that a truck driver drove 119 miles in 3 1/4 hours .
On simplifying the time , we get
\(3\frac{1}{4} =\frac{3\times4+1}{4}\\\\ 3\frac{1}{4} =\frac{13}{4}\)
which means that truck driver drove 119 miles in \(\frac{13}{4}\) hours .
Using unitary method , we get
\(\frac{13}{4}\) hours is taken by driver to complete = 119 miles
1 hour is taken by driver to complete \(=\frac{119\times4}{13} \\\)
\(=36.61 \ miles\)
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Solve the equation 3x+4y=16 for x
Answer:
3x+4y=16
3x=-4y+16 (Subtract both sides by 4y)
x=-4/3y+16/3 (Divide both sides by 3 to isolate x variable)
The area of this rectangle is given by the quadratic function
A = 50W - W2
.
What is the reasonable domain for this function?
The reasonable domain for this function is 0 < x < 50
What is the domain and range of the function?The domain of a function is defined as the set of all the possible input values that are valid for the given function.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
Given;
A = 50W - W2
The area of a rectangle cannot be negative;
The practical domain of A is determined when;
50W-W^2>0
Taking common factor W
W(50-W)>0
Since W must be positive W>0
50-W>0
Or equivalently
50>w
W<50
The total interval is
0<W<50
Therefore, the domain of the function will be 0 < x < 50
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Heights for 16-year-old boys are normally distributed with a mean of 68. 3 in. And a
standard deviation of 2. 9 in.
Find the z-score associated with the 96th percentile.
Find the height of a 16-year-old boy in the 96th percentile.
The height of a 16-year-old boy in the 96th percentile is approximately 73.375 inches. The z-score associated with the 96th percentile is 1.75.
To find the z-score associated with the 96th percentile, we can use the following steps:
1. Locate the percentile in a standard normal distribution table or use a calculator that can compute percentiles (e.g., a graphing calculator or an online calculator).
2. For the 96th percentile, we find the corresponding z-score. Using a standard normal distribution table or an online calculator, the z-score is approximately 1.75.
So, the z-score associated with the 96th percentile is 1.75.
To find the height of a 16-year-old boy in the 96th percentile, we can use the following formula:
Height = mean + (z-score × standard deviation)
Here, the mean height is 68.3 inches, the z-score is 1.75, and the standard deviation is 2.9 inches. Plugging these values into the formula:
Height = 68.3 + (1.75 × 2.9) ≈ 68.3 + 5.075 ≈ 73.375 inches
So, the height of a 16-year-old boy in the 96th percentile is approximately 73.375 inches.
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If 6 pennies are in each pile how many pennies are in nine piles?
Answer:45
Step-by-step explanation:
Answer:
This is so easy it's basically 6x9 which isssss, 54 lol,
Step-by-step explanation:
Is 700% greater than or less than the square root of 36?
Answer:
700%
Step-by-step explanation:
Which number value would complete the table below?
10 points
A)$4
B)$4.25
C)$4.50
D)$5.50
Answer:
Your answer should be C or D.
Because it looks like it goes up 1.50 each time
Step-by-step explanation:
Answer:
C. $4.50
Step-by-step explanation:
The y section goes up by $1.50
Which of the following could be calculated using the Pythagorean theorem? Select all that apply.
area of a circle
length of an arch
height of a building
distance to an airport
size of a window pane
Answer: height of a building
Step-by-step explanation:
a^2 + b^2 = c^2
used for finding missing side angle of a triangle