The equation is correct and the point (5,-2) is on the line.
The point slope equation of a line with slope 0.25 and a point (5,-2) would be y-(-2) = 0.25(x-5). This equation can be rearranged to y = 0.25x - 1.5.
Calculation:
y = 0.25x - 1.5
Plugging in x = 5
y = 0.25(5) - 1.5
y = -2
The point (5,-2) is on the line.
The point slope equation of a line with slope 0.25 and a point (5,-2) can be written as y-(-2) = 0.25(x-5) which can further be rearranged to y = 0.25x - 1.5. This equation can be further tested by plugging in the x value of the point (5) into the equation and the y value of the point (-2) should be obtained. This proves that the equation is correct and the point (5,-2) is on the line.
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Find x. Help if you can I would appreciate it.
Ans: 55°
Let's draw two parallel line intersecting angle x° and 45° as shown in the photo.
i) a=25° [Being Alternative Angle]
ii) d=15° [Being Alternative Angle]
iii) c= 45°-d[45°=c+d]
=45°-15°
=30°
iv)b=c[Being Alternative Angle]
v)x=a+b[Combining Angle a & b]
=25°+30°
=55°
Compute $\dfrac{\sqrt{150}}{\sqrt{96}}$.
The solution is 5/4.
What is Square root?A square root of a number is a value that, when multiplied by itself, gives the number. In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.
For example, 4 and −4 are square roots of 16, because 4² = ² = 16.
here, we have,
√150/√96
=√6√25/√6√16
=5√6/4√6
=5/4
Hence, The solution is 5/4.
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
If p − 1 is a factor of p4 + p2 + p − k, the value of k is __.
The value of k is given as follows:
k = 2.
How to obtain the value of k?The polynomial for this problem is defined as follows:
P(p) = p^4 + p² + p - k.
We have that p - 1 is a factor of the polynomial, meaning that according to the Factor Theorem, P(1) = 0.
Hence, considering that when p = 1, P = 0, the value of k is obtained as follows:
1^4 + 1² + 1 - k = 1
3 - k = 1
k = 3 - 1
k = 2.
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If you throw a ball vertically with an initial velocity of feet per second, the distance from the starting point is d = vt - 16t2. If the initial velocity is 60 ft per second, the formula for d = 60t-t². How many seconds will it take the ball to reach its highest point? What is its maximum height? brainly
Step-by-step explanation:
above is the explanation of the question
The circle in the center of
a basketball court is being
painted. The circle has a
radius of a feet. What is the
circumference of the circle?
Leave your solution in terms
of pi.
what's the awnser pls tell me
The circumference of the circle in a basketball court that has to be painted which has a radius of a feet is 2π.
The circumference of a circle is the distance around its edge. It is a key measurement of a circle and is used in many applications, such as finding the length of a rope needed to go around a circular object.
The formula for the circumference of a circle is given by C = 2πr, where C is the circumference, π is a mathematical constant approximately equal to 3.14, and r is the radius of the circle. The constant π is used to represent the relationship between the diameter and the circumference of a circle.
In this case, the circle has a radius of a feet, so the circumference of the circle can be calculated as follows:
C = 2π
The units of measurement for the circumference will be the same as the units of measurement for the radius, in this case feet.
So, the circumference of the circle with a radius of a feet is 2π feet, expressed in terms of π.
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5. A cliff-jumper of mass 68.0 kg stands on the edge of a cliff and possesses 16,800 J of potential energy. How high up is this lunatic from the base of the cliff?
The potential energy of an object is given by the equation:
PE = mgh
where PE is potential energy, m is mass, g is the acceleration due to gravity, and h is the height.
Rearranging this equation, we get:
h = PE / (mg)
Substituting the given values, we get:
h = 16800 J / (68.0 kg x 9.81 m/s^2)
h = 24.8 meters
Therefore, the cliff-jumper is standing 24.8 meters above the base of the cliff.
Answer:
h
Step-by-step explanation:
The volume of a cube is 8in^3. What is the length of one side? Show all work
A) 2in^3
B) 2.7in^3
C) 2in
D) 2.7in
Answer:
2 in
Step-by-step explanation:
Hope it helps.
On math thing
In the diagram KG, JF, AE and AH intersect at point A. Use this diagram for problems 1-3.
1. Describe the relevant angle relationships in the diagram.
2. Write and solve an equation to find the value of x
3. What are the measures if
As a result, the measurements of angles KAG and JAF are both 90, and the measure of arc KG is 2 * 90 = 180. Angle HAE and angle HAF are both 90 degrees.
What is angle?An angle is a figure in Euclidean geometry created by two rays, called the sides of the angle, that share a common termination, called the vertex of the angle. Angles created by two rays are located in the plane containing the rays. Angles are also generated when two planes intersect. These are known as dihedral angles.
Here,
In the diagram, since KG, JF, AE, and AH intersect at point A, we know that angle KAG = angle JAF (both are inscribed angles and intercept the same arc), and angle HAE = angle HAF (both are alternate interior angles and are equal in measure).
To find the value of x, we need to use the angle relationships. Since angle KAG = angle JAF, and they are both inscribed angles, they are equal to half the measure of the intercepted arc KG. We also know that angle HAE = angle HAF, so we can use them to find the measure of KG.
Let's call the measure of KG = 2x. Then, angle KAG = angle JAF = x, and angle HAE = angle HAF = x.
Adding the measures of angle KAG and angle HAE, we get x + x = 2x = 180. Solving for x, we get x = 90.
So, the measures of angle KAG and angle JAF are 90, and the measure of arc KG is 2 * 90 = 180. The measures of angle HAE and angle HAF are also 90.
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I'm having a problem with this can anyone help?
Which equation below represents a proportional relationship?
There may be more than 1 correct answer.
y = 7x
y = 1/7 x
y = x
y = 7x + 2
The equations that represent direct proportion are
y = 7x -- proportionaly = 1/7 x-- proportionaly = x-- proportionaly = 7x + 2-- not proportionalHow to determine the proportional relationship equationsFrom the question, we have the following parameters that can be used in our computation:
The list of options
A proportional linear equation is represented as
y = kx
Where
The constant of proportionality is k
Using the above as a guide, we have the following:
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Could somebody fill this all in I don't know how to do it. I have been stuck for a good while and I'm just confused. I would give more points but thats most of what I got.
These polygons have the following areas:
Case 9: 67
Case 10: 72
Case 11: 84
Case 12: 87.5
Case 13: 90
The walkway seal has a cost of $ 774.
How to determine the area of a polygon
In this question we need to determine the areas of irregular polygons and polygonal sections, these areas can be obtained in terms of sums and triangles and rectangles, whose formulas are introduced below:
Triangles
A = 0.5 · w · l
Rectangles
A = w · l
Where:
A - Area, in square units.w - Width, in units.l - Length, in units.Now we proceed to determine the areas of each polygon:
Case 9
A = 0.5 · 3 · 4 + 0.5 · 6 · 4 + 0.5 · 2 · 7 + 0.5 · 2 · 7 + 5 · 7
A = 6 + 12 + 7 + 7 + 35
A = 67
Case 10
A = 4 · 0.5 · 3² + 9 · 6
A = 18 + 54
A = 72
Case 11
A = 0.5 · 3 · 12 + 3 · 12 + 0.5 · 3 · 12 + 0.5 · 1 · 4 + 0.5 · 5 · 4
A = 18 + 36 + 18 + 2 + 10
A = 84
Case 12
A = 0.5 · 7 · 3 + 7² + 0.5 · 3 · 4 + 0.5 · 3 · 4 + 4²
A = 10.5 + 49 + 6 + 6 + 16
A = 87.5
Case 13
A = 0.5 · 5 · 3 + 0.5 · 1 · 5 + 10 · 8
A = 7.5 + 2.5 + 80
A = 90
Case 14
A = 4 · 0.5 · (12 ft) · (10 ft) + 2 · (18 ft) · (12 ft) + 2 · (10 ft) · (18 ft)
A = 240 ft² + 432 ft² + 360 ft²
A = 1032 ft²
And the seal cost is:
C = (0.75 $ / ft²) · (1032 ft²)
C = $ 774
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does the 99% confidence interval provide convincing evidence that a majority of all u.s. adults think that organic produce is better for health? explain your answer.
A confusion interval of 99 percent between -0.020 and 0.120 for the difference in the true percentage of the population that say "Yes".
What does confidence interval mean?
If you repeat your experiment or resample the population in the same manner, the confidence interval is the range of values you expect your estimate to fall within a specific proportion of the time.
In point a:
The confidence interval will not provide convincing proof that only the two population prolongations differentiate because a 99 percent confidence interval for both the difference throughout the true promotion around -0.020 and 0.120 is included 0.
In point b:
This confidence interval gives strong evidence also that two population proportions were identical because there is a confusion interval of 99 percent between -0.020 and 0.120 for the difference in the true percentage of the population that say "Yes".
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The complete question is -
A CBS News poll asked 606 randomly selected women and 442 randomly selected men, "Do you think putting a special tax on junk food would encourage more people to lose weight?" 170 of the women and 102 of the men said "Yes." A 99% confidence interval for the difference (Women – Men) in the true proportion of people in each population who would say "Yes" is –0.020 to 0.120.
a. Does the confidence interval provide convincing evidence that the two population proportions are different? Explain your answer.
b. Does the confidence interval provide convincing evidence that the two population proportions are equal? Explain your answer.
a bottomless dolphin is 96 inches long .there are 12 inches in a foot use the equation 12d=96 to find d, the length of the bottomless dolphin in feet
In kite PQRS, measure of angle QPO=50° and measure of angle QRO=70°. Find measure of angle PSR
The measure of angle PSR in a kite PQRS, is equals to the 60°.
We have a kite PQRS, present in above figure. The measure of angle QPO = 50°
The measure of angle QRO = 70°
We have to determine the measure of angle PSR. As we see in figure, there is four right angled triangles as ∆POQ, ∆OQR , ∆POS and ∆OSR.
measure of angle POS = measure of angle SOR = 90°
measure of angle SPO = measure of angle QRO = 70° ( Since alternative angles)
Similarly, measure of angle SRO
= measure of angle QPO = 50° ( Alternative angles )
So, measure of angle PSR = measure of angle PSO + measure of angle RSO --(1)
Measure of angle RSO = 180° - measure of angle ROS - measure of angle SRO
= 180° - 90° - 50° = 40°
Also, Measure of angle PSO = 180° - measure of angle POS - measure of angle SPO = 180° - 90° - 70° = 20°
So, from equation (1),
measure of angle PSR = measure of angle PSO + measure of angle RSO
= 40° + 20°
= 60°
Hence, required measure of angle is 60°.
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Complete question:
The above figure completes the question. In kite PQRS, measure of angle QPO=50° and measure of angle QRO=70°. Find measure of angle PSR.
What is the area of this figure?
9 mi
2 mi
3 mi
2 mi
3 mi
8 mi
13 mi
3 mi
7 mi
4 mi
Write your answer using decimals, if necessary.
The area of the given figure is 66 square miles.
As we can see in the figure, we have 2 different rectangles attached to one another. So the total area of the figure will be the area of the vertical rectangle plus the area of the horizontal rectangle.
Area of the horizontal rectangle = L₁ × W₁
L₁ = 9 mi
W₁ = 2 mi
∴ Area = 9 mi × 2 mi
= 18 square miles
Area of the vertical rectangle = L₂ × W₂
L₂ = 12 mi
W₂ = 4 mi
∴Area = 12 mi × 4 mi
= 48 square miles
Now, the total area of the figure = the area of the vertical rectangle + the area of the horizontal rectangle.
= 48 square miles + 18 square miles
= 66 square miles.
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4. Anthony wanted to make his own soup can label. The soup can is shaped like a cylinder.
The can has a diameter of 16 cm and a height of 8 cm. About how much paper did he
used to create the label (lateral)? (If necessary, use T = 3. 14 )
The amount of paper used to create the label was approximately 201.06 cm². This was calculated by multiplying the diameter of 16 cm by the height of 8 cm and then multiplying the result by 3.14 (T).
The amount of paper used to create the label for an 8 cm tall cylinder can with a diameter of 16 cm can be calculated by using the formula for the lateral surface area of a cylinder (T*r*h). T is the constant pi, which is equal to 3.14. r is the radius of the cylinder, which is equal to half of the diameter (16 cm/2 = 8 cm). h is the height of the cylinder, 8 cm. Therefore, the lateral surface area of the cylinder can is calculated by multiplying 3.14 by 8 cm (radius) by 8 cm (height). This results in 201.06 cm² of paper needed to create the label. The label can be wrapped around the cylinder, covering the whole surface area of the can.
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Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver’s distance (miles) is shown for the same elapsed time (hours) of the trip. Who had a head start, and how many miles was the head start?
Rita had a 28-mile head start.
Roger had a 26-mile head start.
Roger had a 25-mile head start.
Rita had a 22-mile head start.
Examining the driving information between Roger and Rita we can say that
Rita had a 22-mile head start.How to find who had a head startSince the Roger and Rita drive at constant speed we check their speed at 1 hour
Roger = in 1 hour covers a distance of 65 miles
Rita = in 1 hour covers a distance of 93 miles
Hence we can say that Rita has a head start,
solving for the head start
= 93 miles - 65 miles
= 22 miles
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Under the translation (x+3, y-1) the point (3, 4) will become (0,5)
Answer:
The y and m2 and the m (0, 2) when x=3
Step-by-step explanation:
Here is the histogram of a data distribution. All class widths are 1.
5
4
3
2
1
12
3 4 5 6 7 8
9 10
What is the median of the distribution!
Answer: 4
Step-by-step explanation:
The median is the value in the middle of a data set. When rearranging the data, it should be:
2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 8, 9, 10
4 is directly in the middle since there is 10 numbers exactly to the left and right of it
Hope this helps!
The median of the histogram is M = 5
What is Histogram?A graph called a histogram is used to show the frequency distribution of a small number of data points for a single variable. Histograms frequently divide data into different "bins" or "range groups" and count how many points are in each bin.
A histogram displays the frequency distribution of a set of continuous data. It is useful for visualizing the shape of the data distribution, such as whether it is symmetrical or skewed, and identifying any outliers or gaps in the data.
One common graphing tool is the histogram. It is employed to present interval-scaled summaries of discrete or continuous data.
Given data ,
Let the histogram be represented as A
Now , the value of A is
The frequency of 1 = 0
The frequency of 2 = 1
The frequency of 3 = 5
The frequency of 4 = 5
The frequency of 5 = 4
The frequency of 6 = 2
The frequency of 7 = 1
The frequency of 8 = 1
The frequency of 9 = 1
The frequency of 10 = 1
So , the midpoint of the distribution is M = 10/2 = 5
Hence , the median of the histogram is M = 5
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Mr. lama has a piece of land of 10 kattha. he constructed a square pond of length 55 m for fish farming within it. how much space of his land is left? find it in sq.m?(1 kattha= 338.63 m^)
Answer:
361.3 m²left
Step-by-step explanation:
10 kattha =3386.3sqm
sq pond of 55m side, area = 55*55 =3025
so 3386.3 - 3025 = 361.3 m²left
five cards are dealt without replacement from this deck. what is the probability that at least two of the four cards dealt have the same numeric value (1 through 20)?
The probability that at least two of the four cards dealt have the same numeric value (1 through 20) is approximately 0.907.
To calculate the exact probability, we need to consider the different ways that two or more cards could have the same numeric value. If two cards have the same numeric value, there are 19 ways to choose that value and 2 ways to choose the two cards with that value. The probability of this happening is 19 * (2 / 20 * 19 / 19) * (18 / 18 * 17 / 18) * (16 / 17 * 16 / 17) * (15 / 16 * 15 / 16) = 19 * (1/190) = 0.1.
Similarly, we can calculate the probability of three or four cards having the same numeric value. Adding these probabilities, we get an estimate of 0.907 for the probability that at least two of the four cards dealt have the same numeric value.
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write x=3 sin theta and y = 8cos theta in rectangular form
Answer:
x²/9 +y²/64 = 1
Step-by-step explanation:
You want the figure defined by x = 3sin(θ) and y = 8cos(θ) to be described by an equation in rectangular form.
Pythagorean identityThe trig identity sin(x)² +cos(x)² = 1 is helpful here.
x = 3sin(θ) ⇒ x/3 = sin(θ)
y = 8cos(θ) ⇒ y/8 = cos(θ)
Combining these using the above identity, we have ...
(x/3)² +(y/8)² = 1 . . . . . . the equation of an ellipse
We can simplify the denominators to ...
x²/9 +y²/64 = 1
__
Additional comment
The attached graph uses different colors and textures to show the two forms of expressing the graph result in the same figure.
The diagram shows a circle with centre O.
A, B, C & D lie on the circumference of this circle.
Given that AC is a diameter of the circle and ∠DCA = 51° and ∠BCA = 26°, find the size of ∠DAB as highlighted in the diagram.
help please! i haven't got an ounce of energy in my body to do this
Answer:
Step-by-step explanation:
fill in the table using the equation
Answer: 11, 16, 26, 41
Step-by-step explanation:
WILL GIVE BRAINLIESTT!!!
Use the regression line yhat = 101 12x to find the residual for the point (7,17).
Answer:
Since the residual is very close to 0 and residual= actual y value so it is 8.
Please give me Brainlest:)
Step-by-step explanation:
Figure LMNO is a parallelogram.
A parallelogram has points on each corner. The points are M, N, O, L going from the top left, clockwise.
Angles L and M are supplementary. What is the sum of their measures?
The sum of the measures of angles L and M is °.
Since LMNO is a parallelogram, opposite angles are congruent, which means that angle L is congruent to angle N and angle M is congruent to angle O.
Since angles L and M are adjacent angles in a parallelogram, they are supplementary, which means that their sum is 180 degrees. Therefore, the sum of the measures of angles L and M is:
L + M = 180 degrees.
Answer: 180 degrees
Step-by-step explanation:
Supplementary angles add up to 180 degrees.
So and L and M add up to 180 degrees.
Factor the expression using the greatest common factor.
-12z+16z4 - 3z²
The expression's factored version, which employs the greatest common factor, is -z(12z-16z3 + 3z).
Factoring using the greatest common factorThe largest number that can be split into exactly two or more other numbers. It is the "best" thing for making fractions simpler!
Given the expression below
-12z+16z^4 - 3z²
We are to factor the expression using the greatest common factor
Find the factors of each terms
-12z = -12 * z
16z^4 = 16 * z * z^3
-3z^2 = -3 * z * z
Since -z is common to the factors, hence the factored form of the expression using the greatest common factor is -z(12z-16z^3 + 3z)
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this boxplot shows the distribution of ages for a class of 20 students. why is there no line in the box to indicate the median age?
If there is no line in the box to indicate the median, it is possible that the median has not been calculated or that the data set is too small to provide an accurate representation of the median.
A boxplot is a visual representation of the distribution of a set of data, and it typically consists of a box, two whiskers, and possibly some outliers. The box represents the interquartile range (IQR), which is the range between the first and third quartiles of the data. The median (or second quartile) is usually represented by a line within the box.
If there is no line in the box to indicate the median, it is possible that the median has not been calculated or that the data set is too small to provide an accurate representation of the median. With only 20 students, it is possible that the median may not be a meaningful representation of the central tendency of the data, especially if there are extreme outliers or skewed distributions. In such cases, it is best to consult other measures of central tendency, such as the mean or mode, to get a better understanding of the data.
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E. On January 30, your check register balance is $107.87
and your bank statement balance is $161.96. Interest
earned of $0.43 and an ATM deposit of $56 also
appeared on the statement but had not been recorded
in the register. You also find that Check 307 for $35.29
had been entered in the register as $32.95. Reconcile the
checking account.
The new check register balance of $131.35 now matches the bank statement balance of $161.96.
Describe bank balance.A bank balance is the amount of money a person or organization has in their account at a financial institution such as a bank. It reflects the amount of money that is available for spending or withdrawal, taking into account any transactions that have been made or are pending. The bank balance is an important aspect of managing finances, and individuals and businesses monitor their balances regularly to ensure that they have enough money to cover their expenses and to make sure that their accounts are in good standing.
To reconcile the checking account, you need to find out the reason for the difference between the check register balance ($107.87) and the bank statement balance ($161.96).
Add the interest earned of $0.43 to the check register balance: $107.87 + $0.43 = $108.30
Add the ATM deposit of $56 to the check register balance: $108.30 + $56 = $164.30
Subtract the incorrect amount of Check 307 ($32.95 instead of $35.29) from the check register balance: $164.30 - $32.95 = $131.35
The new check register balance of $131.35 now matches the bank statement balance of $161.96. This means the checking account has been reconciled.
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question 6 options: if a cell phone tower is 24 meters tall and casts a shadow 45 meters long, then how long of a shadow will be cast by a nearby marble column that is 8 meters tall?
If a cell phone tower is 24 meters tall and casts a shadow 45 meters long, then 15 m long of a shadow will be cast by a nearby marble column that is 8 meters tall.
A Cell phone tower is 24 meters tall.
Casts of a shadow is 45 meters long.
A nearby marble column that is 8 meters tall.
We have to determine the how long of a shadow will be cast by a nearby marble column.
Since, the triangle △PQR∼△MNO
So from the diagram
MN/PQ = ON/RQ
8/24 = x/45
Multiply by 45 on both side, we get
x = 8/24 × 45
x = 360/24
x = 15
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