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Solution
[tex]undefined[/tex][tex]Slope=\frac{24-12}{4-2}=\frac{12}{2}=6[/tex]The final answer
[tex]6\text{ feets}[/tex]Related Questions
A line segment has a length of 10 units. The line segment undergoes a translation up 5 units and left 5units from its original position.
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A rigid transformation does not change the shape of the original object. Translation is a type of rigid transformation. From the information given,
The line segment undergoes a translation up 5 units and left 5units from its original position. Thus,
The length of the resulting line segment would be the same as the length of the original line segment since translations preserve the lengths of line segments
I need help with solving propotional segments in right triangles. I need help with number 4.
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We have
AD=9 in
DB=4 in
find DC,AC and BC
we can do the next equivalences
[tex]\frac{AD}{DC}=\frac{DC}{DB}[/tex][tex]\frac{9}{DC}=\frac{DC}{4}[/tex]then we clear DC
[tex]\begin{gathered} DC=\sqrt[]{36} \\ DC=6 \end{gathered}[/tex]For AC we use the Pythagorean theorem
[tex]AC=\sqrt[]{9^2+6^2}=10.81[/tex]For BC we use the Pythagorean theorem
[tex]BC=\sqrt[]{6^2+4^2}=7.21[/tex]What equation represents a line which is parallel to the line y=5/4x - 7
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A characteristic of parallel lines is that they have the same slope.
So for the line
[tex]y=\frac{5}{4}x-7[/tex]The slope is
[tex]m=\frac{5}{4}[/tex]Any line parallel to this one will have the same slope:
[tex]y=\frac{5}{4}x+b[/tex]Foe example, let's say that the parallel line has to pass through the point (2,3)
Using the point slope form you can determine the equation as:
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-3=\frac{5}{4}(x-2) \\ y-3=\frac{5}{4}x-\frac{5}{2} \\ y=\frac{5}{4}x-\frac{5}{2}+3 \\ y=\frac{5}{4}x+\frac{1}{2} \end{gathered}[/tex]The line
[tex]y=\frac{5}{4}x+\frac{1}{2}[/tex]is parallel to
[tex]y=\frac{5}{4}x-7[/tex]while free diving in the ocean, Tanya streeter once said a record by diving 525 ft and 3 and 1/2 minutes. how many feet per minute did she dive?
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ok
length = 525 ft
time = 3.5 min Is that correct 3 and 1/2 minutes?
rate = 525/3.5
rate = 150 ft/min
Meredith did some research on the ages of the male U.S. Olympic swimmers. She made a dot plot for the data . 20 21 22 23 24 25 26 27 28 29 Age of male US. Olymple swimmers years) According to Meredith's data, what is the typical age of a male U.S. Olympic swimmer? O A. 21 years O B. 26 years O C. 20 years OD. 29 years
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Solution
we have the following set of data from the table given
21,24,25,25,25,26,26,26,26,27,29
The typical age = (21+24+25+25+25+26+26+26+26+27+29)/10
= 255/10
= 25.5 approximately = 26
Final Answer = 26
Use the graph of the function F shown here to find f(1), f(2), f(3).
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The value of f(x) is reflected over the y-axis.
Obtain f(1) as follows,
Draw a vertical line at x=1 to intersect the curve.
From this point of intersection, draw a horizontal line to intersect the y-axis at y=3.
Therefore, the value of f(1) is 3.
Obtain f(2) as follows,
Draw a vertical line at x=2 to intersect the curve.
From this point of intersection, draw a horizontal line to intersect the y-axis at y=8.
Therefore, the value of f(2) is 8.
Obtain f(3) as follows,
Draw a vertical line at x=3 to intersect the curve.
From this point of intersection, draw a horizontal line to intersect the y-axis at y=7.
Therefore, the value of f(3) is 7.
what is the surface area of a rectangular prism if the measures are 13, 9, 4
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Question 1 of 10
Evaluate the expression and enter your answer in the box below.
-3. (6 + 2) +232 + 8
Answer here
SUBMIT
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ANSWER
16
EXPLANATION
The absolute value bars indicate that we have to consider the number inside as positive, whether it's negative or positive. Therefore:
[tex]|-2|=2[/tex]And in the expression we have:
[tex]14+|-2|=14+2=16[/tex]how do you solve the system of linear equation y=2x-3y=x^2-3A. (0,3) and (2,0)B. (-1,-5) and (4,5)C. (3,6) and (-1,6)D. (0,-3) and (2,1)
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SOLUTION:
We want to solve the system of equations;
[tex]\begin{gathered} y=2x-3 \\ y=x^2-3 \end{gathered}[/tex]Substituting, we have;
[tex]\begin{gathered} 2x-3=x^2-3 \\ x^2=2x\text{ \lparen x=0 is a solution \rparen} \\ divide\text{ both sides by x} \\ x=2 \end{gathered}[/tex]Inserting the values, we have;
[tex]\begin{gathered} when\text{ x = 0;} \\ y=2(0)-3 \\ y=-3 \end{gathered}[/tex][tex]\begin{gathered} when\text{ x = 2} \\ y=2(2)-3 \\ y=1 \end{gathered}[/tex]Thus, the solutions are;
[tex](0,-3)\text{ }and\text{ }(2,1)[/tex]I need to know what goes in the boxes for this practice question.
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From the question given;
5 = 2/5 m
25 = 2m
Divide both-side by 2
25 /2 = m
m = 25/2
Now to solve for H
( H + [ 1 4 -2 ] ) + [ 3 2 -6 ] = [-2 3 -1] + ( [1 4 -2] + [ 3 2 -6] )
( H + [ 4 6 - 8 ] )= [ -2 3 - 1] + [ 4 6 - 8 ]
( H + [ 4 6 - 8 ] = [ 2 9 -9 ]
Subtract [4 6 -8] from both-side
H = [ 2 9 -9 ] - [ 4 6 -8 ]
= [-2 3 - 1]
m x H = [ 25/2 * -2 25/2 * 3 25/2 * -1 ]
m x H = [ -25 75/2 -25/2 ]
Alan bought 36 gallons of gas for $2.05 per gallon. How much did he spend ongas? *
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Alan bought 36 gallons of gas for $2.05 per gallon.
total amount of gas = 36 gallons
Price of one gallon = $2.05
So, for the price of 36 gallons : Multiply the amount of 1 gallon with the the number of gallon
Price of 36 gallons = 36 x 2.05
Price of 36 gallons = $73.8
Alan spend an amount of $73.8 on the gas of 36 gallons
Answer : $73.8
J and K are independent events. P(J | K) = 0.43. Find P(J)P(J) =
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Explanation
We are given the following:
[tex]P(J|K)=0.43[/tex]We are required to determine P(J).
We know that since j and K are independent events, then:
[tex]P(J|K)=P(J)[/tex]Hence, the answer is:
[tex]P(J)=0.43[/tex]balloon 670 meters away angle 42degrees the higher balloon is 945 away angle 36 degrees how much higher is the balloon on the right than the left
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Answer:
[tex]h1-h2=686.582689-603.2707097=83.31198832m[/tex]A psychologist is interested in constructing a 90% confidence interval for the proportion of
people who accept the theory that a person's spirit is no more than the complicated network of
neurons in the brain. Of those randomly selected, 50 of the 722 people agreed with this theory.
a. With 90% confidence the proportion of all people who accept the theory that a person's spirit
is no more than the complicated network of neurons in the brain is between ____ and ____.
Round to 3 decimal places.
b. If many groups of 722 randomly selected people are surveyed, then a different confidence
interval would be produced from each group. About ___ percent of these confidence
intervals will contain the true population proportion of all people who accept the theory that a
person's spirit is no more than the complicated network of neurons in the brain and about ____
percent will not contain the true population proportion.
Answers
a. The 90% confidence interval for the proportion of all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain is between 0.053 and 0.085.
b. About 90% of the intervals will contain and about 10% of the intervals will not contain.
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which the variables used to calculated these bounds are listed as follows:
[tex]\pi[/tex] is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The confidence level is of 90%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.
The meaning of the 90% confidence level is given as follows:
90% of the intervals contain the true population proportion.10% of the intervals do not contain the true population proportion.The sample size and the estimate are given as follows:
[tex]n = 722, \pi = \frac{50}{722} = 0.069[/tex]
Hence the lower bound of the interval is given by:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.069 - 1.645\sqrt{\frac{0.069(0.931)}{722}} = 0.053[/tex]
The upper bound of the interval is given by:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.069 + 1.645\sqrt{\frac{0.069(0.931)}{722}} = 0.085[/tex]
More can be learned about the z-distribution at https://brainly.com/question/25890103
#SPJ1
For each equation state the number of complex roots, the possible number of positive real roots,and the possible rational roots x^4+8x^2+2=0
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The given equation is,
[tex]x^4+8x^2+2=0[/tex]Fundamental Theorem of Algebra says that a polynomial will have exactly as many roots as its degree (the degree is the highest exponent of the polynomial). A straightforward corollary of this (often stated as part of the FTOA) is that a polynomial of degree n with Complex (possibly Real) coefficients has exactly n Complex (possibly Real) zeros counting multiplicity.
Therefore, the equation will have 4 roots.
Descartes’s rule of signs says the number of positive roots is equal to changes in sign of f(x), therefore, the given equation does not have positive real roots.
Therefore, the equation will have 4 complex rooots.
If a card is drawn from an ordinary deck of 52 cards, find the probability of getting a heart or a face card?
Answers
Given:
Total number of cards = 52
Number of face cards = 12
Number of heart cards = 13
Required: Probability of getting a heart or a face card
Explanation:
Number of cards that is both face cards and heart cards = 3
Number of cards that are either heart or face card
= 12 + 13 - 3
=22
Probability of getting a heart or face card = Number of favorable cases/ Total number of cases
[tex]=\frac{22}{52}=\frac{11}{26}[/tex]Final Answer: The probability of getting a heart or face card is 11/26.
For the school play, tickets cost $13.50 for adults and $5 for kids under 12. How
many total tickets would someone get if they purchased 6 adult tickets and 22 kids
tickets? How many total tickets would someone get if they purchased a adult tickets
and k kids tickets?
Total tickets, 6 adult tickets and 22 kids tickets:
Total tickets, a adult tickets and k kids tickets:
Answers
Answer
The adult-135 And the Kid-27:
Step-by-step explanation:
13.50 * 10=135
4.50 * 6 =27
which methods correctly solve for variable x in the equation 3/4 (x - 8)=6?
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SOLUTION
The equation given is
[tex]\frac{3}{4}(x-8)=6[/tex]Step1
Multiply both sides by
[tex]\frac{4}{3}[/tex]We have
[tex]\begin{gathered} \frac{4}{3}\times\frac{3}{4}(x-8)=\frac{4}{3}\times6 \\ \\ x-8=8 \end{gathered}[/tex]Step2
Add 8 to both sides of the equation
[tex]\begin{gathered} x-8+8=8+8_{} \\ x=16 \end{gathered}[/tex]Therefore, the correct method that solves the equation is
5. Multiply both sides by 4/3 and then add 8 to both sides of the equation
similarly,
Distribute 3/4 to (x-8)
[tex]\begin{gathered} \frac{3}{4}(x-8)=6 \\ \frac{3}{4}x-6=6 \end{gathered}[/tex]Then add 6 to both sides
[tex]\begin{gathered} \frac{3}{4}x-6=6 \\ \\ \frac{3}{4}x-6+6=6+6 \\ \frac{3}{4}x=12 \end{gathered}[/tex]Then multiply both sides by 4/3
[tex]\begin{gathered} \frac{3}{4}x\times\frac{4}{3}=12\times\frac{4}{3} \\ \\ x=16 \end{gathered}[/tex]Hence
2. Distribute 3/4 to (x-8), then add 6 to both sides and finally multiply both sides by 4/3
Therefore
Distribute 3/4 to (x-8), then add 6 to both sides and finally multiply both sides by 4/3
and
Are these triangles congruent? If they are, justify it which congruence statement. If not, say cannot be determined. *
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According to the figure given
We are given triangle GFH and EFH
[tex]\begin{gathered} <\text{ H }\cong\text{ < F} \\ FE\text{ }\cong\text{ GH} \end{gathered}[/tex]Line FE is parallel to line GH
Therefore, the triangles are congruent by side and angle
find the value of X thy would prove j || k. state the converse that justifies your answer.
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Given two parallel lines and a transversal
The given angles: (2x-8) and (9x-10) are supplementary angles
So, the sum of the angles = 180
So,
[tex](2x-8)+(9x-10)=180[/tex]Solve the equation to find x :
[tex]\begin{gathered} 2x-8+9x-10=180 \\ 11x-18=180 \\ 11x=180+18 \\ 11x=198 \\ \\ x=\frac{198}{11}=18 \end{gathered}[/tex]So, the answer will be x = 18
The converse of the solution:
when x = 18
So, the measure of the angles will be:
2x - 8 = 2 * 18 - 8 = 36 - 8 = 28
9x - 10 = 9 * 18 - 10 = 162 - 10 = 152
The sum of the angles are = 28 + 152 = 180
So, the sum of the angles = 180
So, the angles are supplementary angles
So, the lines J and K are parallel lines
so, J || K
-help me please!!!!!
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Answer: 3/16
Step-by-step explanation:
You need a common denominator to add those three. It’s easiest to multiply rather than divide so multiply 1/4 times 4 to get 4/16 and then multiply 3/8 times 2 to get 6/16. 6+4+3=13. 16/13=3, add the denominator and you get 3/16 as the remaining amount.
Find the radius and area of a circle with a circumference of 62.8.Round your answer to the nearest tenth. Use 3.14
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Given:
circumference of 62.8
Required:
circumference of 62.8
Explanation:
Let r be the radius of the circle
Since the circumference of the circle is 62.8
[tex]\begin{gathered} 2\pi r=62.8 \\ \\ 2\times3.14\times r=62.8 \\ \\ 6.28r=62.8 \\ \\ r=\frac{62.8}{6.28} \\ \\ r=10 \end{gathered}[/tex]area of circle is
[tex]\begin{gathered} \pi r^2 \\ \\ 3.14\times10\times10 \\ \\ =314 \end{gathered}[/tex]Required answer:
10, 314
Is (2,-2) a solution to the system of equations.9x = 10 - 4yу = 3х - 8-
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Solution;
Given the system of equations below
[tex]\begin{gathered} 9x=10-4y...(1) \\ y=3x-8...(2) \end{gathered}[/tex]To find out if (2, -2) is the solution to the given system of equations, we solve for x and y
Applying the substitution method to solve the system of equations
Substitute for y in equation (1)
[tex]undefined[/tex]Find the equation of the line, in slope-intercept form, through (-4, 6)and parallel to y=-3x + 4. (Show work) (3 pts)
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The given equation is
[tex]y=-3x+4[/tex]Notice that this equation represents a line in slope-intercept form, where its slope is -3.
Now, we have to find a new line parallel to the one above, which means the slope of the new line is also 3 because parallel lines have equal slopes.
Then, we use the given points (-4,6) and the slope -3 to find the equation
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-6=-3(x-(-4)) \\ y-6=-3x-12 \\ y=-3x-12+6 \\ y=-3x-6 \end{gathered}[/tex]Therefore, the equation of the parallel line is y = -3x - 6.choose correct word name for the number below. 51,104
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To write the word name of a number, we start from left to right. in the thousands place, we have 51, so this is "fifty-one thousand". The rest is 104, we is "one hundred four". All together, we have:
"Fifty-one thousand one hundred four"
Saira is using the formula for the area of a circle to determine the value of .
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For this problem, we just have to use the values we're given to calculate the approximate value of pi.
The formula presented is
[tex]\pi=Ar^{-2}[/tex]When you have a negative exponent, we can use the following property
[tex]a^{-b}=\frac{1}{a^b}[/tex]Using this property, our problem turns out to be
[tex]\pi=\frac{A}{r^2}[/tex]Now, we just need to plug the given values on this equation
[tex]\pi=\frac{50.265}{4^2}=3.1415625\approx3.142[/tex]The approximated value for pi is 3.142.
At what value of w does the graph have a vertical asymptote? Explain how you know and what this asymptote means in the situation.
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Vertical asymptote are vertical lines which corresponds to the zeros of the denominator of our rational function. Then, the zeros of T(w) ocurr when
[tex]530-w=0[/tex]which gives
[tex]w=530[/tex]Therefore, the vertical asymptote is w = 530.
The asymptote is a line that the graph function approaches but never touches. In our case, this means that the speed of the wind is very close to 530 mph but never touches this value.
Draw a graph of a parabola that has the followinsignificant features:a > 0one X - intercepty - intercept at 4Write the equation to your parabola:
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Identify whether the set of ordered pairs represent an exponential. Explain your answer. x −2 0 2 4 y 4 12 36 108A. exponential functionAs the x-values are increased by a constant amount, the y-values increase by the same amount.B. not an exponential functionAs the x-values are increased by a constant amount, the y-values increase by the same amount.C. not an exponential functionAs the x-values are increased by a constant amount, the y-values are not multiplied by a constant amount.D. exponential functionAs the x-values are increased by a constant amount, the y-values are multiplied by a constant amount.
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Answer:
D. exponential function
As the x-values are increased by a constant amount, the y-values are multiplied by a constant amount.
Explanation:
From the table of values:
x-values
[tex]\begin{gathered} 0-(-2)=2 \\ 2-0=2 \\ 4-2=2 \end{gathered}[/tex]The x-values increase by a constant amount, 2.
y-values
[tex]\begin{gathered} \frac{12}{4}=3 \\ \frac{36}{12}=3 \\ \frac{108}{36}=3 \end{gathered}[/tex]The y-values are multiplied by a constant amount, 3.
From these, we conclude that the set of ordered pairs represents an exponential function.
As the x-values are increased by a constant amount, the y-values are multiplied by a constant amount.
The correct option is D.
(3x+30) line p and q are parallel solve for x
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The two angles are alternate external, because they are on the external side of the parallel lines and on alternate sides of the transversal one. This means that they are congruent. So we can find the value of x by making their expressions equal and solving for x.
[tex]\begin{gathered} 4x=3x+30 \\ 4x-3x=30 \\ x=30 \end{gathered}[/tex]The value of x is 30°