Statement is true.
The slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts.
Their:
1. corresponding angles are equal.
2. Alternative interior angles are equal.
3. Consecutive interior angles are supplementary.
4. Consecutive exterior angles are supplementary.
When the declaration/// int y = 5; /// is followed by the
assignment /// y += 3.7; /// the value of y is _______.
Answer:
y = 8.7
Step-by-step explanation:
Assuming we can use decimal places, y is equal to 8.7.
In programming, += is often used as a substitute for y = y + x (example)
Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7
an airplane is flying at the height of 10 km above the ground the distance along the ground from the airplane to the airport is 10√3 km . what is the angle of depression from the airplane to the ground
The angle of depression from the aeroplane to the ground will be 30 degrees.
What is trigonometry?
Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
Given that:-
An aeroplane is flying at the height of 10 km above the ground the distance along the ground from the aeroplane to the airport is 10√3 kmThe angle of depression will be calculated as the angle between the horizontal and the height of the plane as shown in the figure below.
As we know that the perpendicular theta is height and the base ratio is angle tan theta.
tanФ = Height / Base
tanФ = 10 / 10 √3
tanФ = 1 / √3
Ф = tan⁻¹( 1 / √3 ) = 30°
Therefore the angle of depression from the aeroplane to the ground will be 30 degrees.
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Through which point must the graph of y = 4 logs (x) + 2 pass?
A. (5,6)
B. (5,8)
C. (5, 12)
D. (5, 40)
The graph of y = 4 logs (x) + 2 passes through the point (5,8).
The given equation of the graph is y = 4 logs (x) + 2
We have to find the point which passes through the graph
The equation y = 4 logs (x) + 2 can be rewritten as y = log(x⁴) + 2. Substituting x = 5 into the equation gives us y = log (5⁴) + 2
= log (625) + 2
= 8.
Therefore, the graph of y = 4 logs (x) + 2 passes through the point (5,8).
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In a school with 500 students,90% are female. Select all expressions that can be used to find the total number of female students. A. 90/100 x 500 B.90/10 x 500 C.0.90 x 500
Answer:
A)90/100 x 500
C) C.0.90 x 500
Step-by-step explanation:
You can't with B since 90/10 doesn't account for percentage
Brainliest pls
The johnsons are driving 2,563 miles to the beach. they plan to drive 325 miles a day. how many days will it take the johnsons to drive to the beach?
Answer:
It will take them 7.89 days
Please answer urgently
Jenny’s grandmother is making a quilt for
her 18th birthday. When she ran out of
material she asked Jenny to go to the
store and pick up more patches.
She only had one square cut in half at the
diagonal, creating 2 equal triangles left.
Each triangle has an area of 0. 18 units.
What is the length of the side of the square?
The side of the square that is twice the area of one triangle (0.18 units²) is: 0.6 unit.
What is the Area of a Square?Area of a square = s², where s is the side length of the square.
1 square = 2(areas of triangles)
1 square = 2(0.18)
1 square = 0.36 units²
s² = 0.36
s = √0.36
s = 0.6 unit.
Length of the side of the square = 0.6 unit.
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Which expression is equivalent to 5m - (2m - 8) + 12 + 6m?
\(=5m-2m+8+12+6m\\=5m-2m+6m+8+12\\=3m+6m+20\\=9m+20\)
The answer is 9m+20,it is equivalent to the expression in the question.
Solve the system of equations. (1 point)
2x − 5y = 3
x − 3y = 1
(4, 1)
(5, 2)
(7, 2)
(9, 3)
Answer:
The answer is (4, 1)
Step-by-step explanation:
I hope this helps have a good day.
If A=20 and C=0, complete the table and write the equation.
If A=7, F=5, complete the table.
The equations are y = 5x and y = 3 + x, and the table of values are
x 4 1 0 3 6 2 5 -1 7
y 20 5 0 15 18 10 25 -5 30
x 4 1 0 3 6 2 5 -1 7
y 7 4 3 6 9 5 8 2 10
How to complete the tables and write the equationsWhen A = 20 and C = 0
Here, we have
A = 20 and C = 0
This means that we have the points (4, 20) and (0, 0).
Assuming the table is a linear table, we first need to find the slope of the table using
m = (y2 - y1) / (x2 - x1)
Using the points (4, 20) and (0, 0), we get:
m = (0 - 20) / (0 - 4) = 20/4 = 5
The equation is then calculated as
y = mx + c
Calculating c, we have
20 = 5 * 4 + c
Evaluate
c = 0
So, the equation is
y = 5x
When the table is completed using the above equation, we have the following table of values
x 4 1 0 3 6 2 5 -1 7
y 20 5 0 15 18 10 25 -5 30
When A = 7 and F = 5
Here, we have
(4, 7) and (2, 5).
In the above, we can see that y is 3 more than x
So, the equation is
y = 3 + x
When the table is completed using the above equation, we have the following table of values
x 4 1 0 3 6 2 5 -1 7
y 7 4 3 6 9 5 8 2 10
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I’ll mark you brainlist I’ll mark you brainlist
Answer:
its -2 ok trust me okkkkkkkkkk
Answer:
i believe it is -4/3
Step-by-step explanation:
its hard to see the intersection points but they line up every 4 down and over 3
Charge Q
1. =6.0nC is at (0.30 m,0), charge Q
2 =−1.0nC is at (0,0.10 m), and charge Q
3 =5.0nC is at (0,0). What is the magnitude of the net electrostatic force on the 5.0−nC charge due to the other charges? (k=8.99×10^9 N⋅m^2C ^2 )
The magnitude of the net electrostatic force on the 5.0−nC charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0), charge Q2 = −1.0 nC is at (0, 0.10 m), and charge Q3 = 5.0 nC is at (0, 0) is 6.21 N.
The value of the net electrostatic force on the 5.0-nC
charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0),
charge Q2 = −1.0 nC is at (0, 0.10 m), and
charge Q3 = 5.0 nC is at (0, 0) can be calculated as follows:
Given data,Charge Q1 = 6.0 nC is at (0.30 m, 0),
Charge Q2 = -1.0 nC is at (0, 0.10 m),
Charge Q3 = 5.0 nC is at (0, 0)
The formula to find out the force on the third charge Q3 is:
F = k * |Q1 * Q3| / r1^2 + k * |Q2 * Q3| / r2^2
Here, k = 8.99 × 10^9 N·m^2/C^2, Q1 = 6.0 nC, Q2 = -1.0 nC, Q3 = 5.0 nC
For the third charge Q3, the distance from Q1 is:
r1 = √(0.3^2 + 0^2) = 0.3 m
And the distance from Q2 is: r2 = √(0^2 + 0.1^2) = 0.1 m
Substituting all the given values in the formula:
F = 8.99 × 10^9 * [ (6.0 × 10^-9 * 5.0 × 10^-9) / 0.3^2 ] + 8.99 × 10^9 * [ (-1.0 × 10^-9 * 5.0 × 10^-9) / 0.1^2 ]F = 6.21 N
Therefore, the magnitude of the net electrostatic force on the 5.0−nC charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0), charge Q2 = −1.0 nC is at (0, 0.10 m), and charge Q3 = 5.0 nC is at (0, 0) is 6.21 N.
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your Dad needed to get two matching gifts for his nephews, so he went to the store with $75 cash in his wallet. After buying the two gifts, now he has just $17 left over. How much did each gift cost?
Answer:
$29
Step-by-step explanation:
Since the gifts are matching, the cost of each gift be equal, say $x
Now, Total cash - cash leftover = cost of both gifts
which is, 75 - 17 = 2x
or $58 = 2x
Thus, x would be 58/2 = $29
Or each gift would cost $29
exploratory data analysis 1. when considering the research question, identify the two variables predictor (explanatory) variable: response variable: 2. use minitab to first create a scatterplot. minitab> graph > scatterplot how would you characterize the association between these two variables? a. linear or nonlinear? b. negative, none, or positive?
Identify the predictor and response variables, then create a scatterplot in Minitab. Characterize the association between the variables as linear or nonlinear and negative, none, or positive.
In exploratory data analysis, the first step is to identify the research question and the two variables of interest. The predictor variable (also known as the explanatory variable or independent variable) is the one that is used to explain or predict the outcome of the response variable (also known as the dependent variable).
After identifying the two variables, one can use software such as Minitab to create a scatterplot of the data. The scatterplot helps to visualize the relationship between the two variables.
To characterize the association between the two variables, we would first determine if the relationship appears to be linear or nonlinear. If the relationship is roughly linear, we would then determine if it is negative (meaning that as one variable increases, the other tends to decrease), positive (meaning that as one variable increases, the other tends to increase), or none (meaning that there is no clear trend).
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Find exact volume of the cylinder with a diameter of 10 feet and a height of 8 feet
PLEASE HELP ME NOW MUTIPLUE CHOICE
What is the sign of the product (3)(-3)(-2)(4)? (5 points)
A) Positive, because the products (3)(-3) and (-2)(4) are positive, and the product of two positive numbers is positive
B) Positive, because the products (3)(-3) and (-2)(4) are negative, and the product of two negative numbers is positive
C) Negative, because the products (3)(-3) and (-2)(4) are negative, and the product of two negative numbers is negative
D) Negative, because the products (3)(-3) and (-2)(4) are positive, and the product of two positive numbers is negative
Answer:
according to my calculations
Step-by-step explanation:
cheese
To calculate the _____ line of a control chart you compute the average of the mean for every period.
To calculate the center line of a control chart, you compute the average of the mean for every period.
A control chart is a graphical representation of a process's performance over time. It is utilized to determine whether a process is in control (i.e., consistent and predictable) or out of control (i.e., unstable and unpredictable).
The center line is used to represent the procedure average on a control chart. When the procedure is in control, the center line is the process's average. When the process is out of control, it can be utilized to assist in identifying where the out-of-control signal began.
The control chart is a valuable quality control tool because it helps detect process variability, identify the source of variability, and determine if process modifications have improved process quality. Additionally, the chart can serve as a visual guide, alerting employees to process variations and assisting them in responding appropriately.
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Is it possible to prove that the triangles are congruent by using the AAS congruence theorem?
Yes, it is possible to prove that two triangles are congruent by using the AAS congruence theorem.
The AAS congruence theorem states that if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent. This theorem can be used to prove that two triangles are congruent if two of the angles in the triangle and the side between them are congruent to two angles and the side between them of the other triangle. To prove congruence using the AAS congruence theorem, it is important to use the right angle and side measurements to ensure that the two triangles are congruent. If the measurements are correct, then the two triangles will be congruent.
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Yes, it is possible to prove that two triangles are congruent by using the AAS congruence theorem.
The AAS congruence theorem
it states that if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent.
This theorem can be used to prove that two triangles are congruent if two of the angles in the triangle and the side between them are congruent to two angles and the side between them of the other triangle.
To prove congruence using the AAS congruence theorem, it is important to use the right angle and side measurements to ensure that the two triangles are congruent. If the measurements are correct, then the two triangles will be congruent.
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Sally wants to save for a new cell phone. She opens a bank account with $40 and adds $20 each week. Which of the following equations can be used to determine how much she has after ‘w’ weeks?
Answer:
T = 50 + 30w
Step-by-step explanation:
Hope this helps :)
Answer:
T = 40 + 20w
Step-by-step explanation:
The initial amount is 50 and the rate per week is 30.
the numbers 1 through 15 are written on cards. one card is hosen at random. event a is choosing a multiple of 5. event b is choose an even number. what is the probability of choosing a multiple of 5 or an even number?
There are 15 cards with numbers from 1 to 15 written on them. Event A is choosing a multiple of 5, which includes the numbers 5 and 10. Event B is choosing an even number, which includes the numbers 2, 4, 6, 8, 10, 12, and 14.
First, we need to determine the number of cards that correspond to each event:
Event A: Multiples of 5 in the range 1-15 are 5 and 10. So, there are 2 cards that correspond to event A.
Event B: Even numbers in the range 1-15 are 2, 4, 6, 8, 10, 12, and 14. So, there are 7 cards that correspond to event B.
To find the probability of choosing a multiple of 5 or an even number, we need to add the probabilities of the two events and subtract the probability of their intersection:
P(A or B) = P(A) + P(B) - P(A and B)
The probability of event A is 2/15, the probability of event B is 7/15. To find the probability of their intersection, we need to determine how many cards satisfy both events. The only card that satisfies both events is 10. Therefore, P(A and B) = 1/15.
Plugging these values into the formula, we get:
P(A or B) = 2/15 + 7/15 - 1/15 = 8/15
Therefore, the probability of choosing a multiple of 5 or an even number is 8/15.
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40 points plus brainliest if you don't leave a link!
Answer:
b is 6
c is 8
Step-by-step explanation:
i was close i have 0.8
and 0.7
Answer:
12.5 sq units for the first answer is correct.
The second answer is 6.
The third answer is 8.
Step-by-step explanation:
The formula of a triangle is bh/2. Plug in the base and height for b and h then multiply.
1st box:
(5)(5)/2
25/2
12.5 Correct
2nd box:
(4)(3)/2
12/2
6 Final Answer
3rd box:
(4)(4)/2
16/2
8 Final Answer
a political candidate has asked you to conduct a poll to determine what percentage of people support her. if the candidate only wants a 4% margin of error at a 97.5% confidence level, what size of sample is needed?
To determine the required sample size for a political poll with a 4% margin of error and a 97.5% confidence level, a formula can be used. For this scenario, the sample size required would be approximately 862 respondents.
To calculate the sample size needed for a political poll with a 4% margin of error and a 97.5% confidence level, the following formula can be used:
n = (Z^2 * p * (1-p)) / E^2
Where:
n is the sample size
Z is the Z-score associated with the desired confidence level (in this case, it is 2.24)
p is the expected proportion of support for the candidate (this value is typically unknown, so a conservative estimate of 0.5 is often used to get the maximum sample size)
E is the margin of error
Plugging in the values for this scenario, we get:
n = (2.24^2 * 0.5 * (1-0.5)) / 0.04^2
n ≈ 862
Therefore, the required sample size for this political poll is approximately 862 respondents. This sample size would provide a margin of error of 4% at a 97.5% confidence level, meaning that there is a 97.5% chance that the true proportion of support for the candidate lies within the range of the survey results plus or minus the margin of error.
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A research analyst disputes a trade group's prediction that back-to-school spending will average $606.40 per family this year. She believes that average back-to-school spending will significantly differ from this amount. She decides to conduct a test on the basis of a random sample of 20 households with school-age children. She calculates the sample mean as $628.85. She also believes that back-to-school spending is normally distributed with a population standard deviation of $45. Use 5% significance.
Part 1
State the null hypothesis and the alternative hypothesis for testing that the average back-to-school spending differs from $606.40.
Part 2
State the critical value(s) for testing this hypothesis.
Part 3
Calculate the test statistic Z for testing this hypothesis
Part 4
State and support your conclusions
Based on the calculations we have rejected the null hypothesis .
Given,
Standard deviation = $ 45
Random sample = 20
Now,
Part 1
Set the null hypothesis and alternative hypothesis,
\(H_{0} : u = 0\\ H_{0} : u > 606.40\)
Part 2
The value of z critical signifies 5% level of significance .
\(Z_{0.05} = 1.65\)
According to critical value if z after calculation is greater than or equal to 1.65 we reject the null hypothesis .
Part 3
The value of Z can be calculated by the formula,
Z = X - µ/σ/√n
Substitute the values ,
Z = 628.85 - 606.40/45/√20
Z = 1.93
Part 4
From the above calculation the value of Z is greater than the critical value .
Thus we reject the null hypothesis .
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A rectangle has a length that is twice the width. The width is to be extended by 5 ft and the length by 3 ft, so the total area becomes 99 square feet. What was the original length?
Answer Choices:
4 ft
6 ft
8 ft
10 ft
12 ft
14 ft
16 ft
Answer:
8 feet
Step-by-step explanation:
w = width
2s = length
Find 'w' by multiplying the new dimensions:
(w+5)(2w+3) = 2w² + 3w + 10w + 15 = 99
simplify:
2w² + 13w - 84 = 0
Factor:
(2w + 21)(w - 4) = 0
w = -21/2 ** disregard because a measurement cannot be negative **
w = 4
original width was 4
orginal length was twice 4 or 8 feet
Which of the following statement is NOT true?
a. Congruent triangles are triangles with corresponding congruent sides.
b. Two triangles with corresponding congruent angles are congruent.
c. Triangles with corresponding congruent sides and an included angle are congruent.
d. Triangles with corresponding congruent angles and an included side are congruentâ
The YMCA built a new pool.
The perimeter of the pool is 125 feet.
What is the length of the missing side?
8 feet
25 feet
25 feet
15 feet
15 feet
?
Answer:
The missing length is 37.
Step-by-step explanation:
Perimeter is basically adding up the sides.
So,
8+25+25+15+15=88
125-88= 37
0.00000012+8*10^-7 scientific notation
Answer:
9.2*10^-7
Step-by-step explanation:
Move decimal until there is one number to the left. The number of times moved will be the exponent. If the decimal moves left the exponent is positive, if it moves left it is negative.
So 0.00000012=1.2*10^-7
1.2*10^-7 + 8*10^-7
9.2*10^-7
8. PLS ANSWER!!!!
and show work
Answer:
The equation of the parallel line is y = 5x + 11
Step-by-step explanation:
→ Parallel lines have same slopes and different y-intercepts
→ The slope-intercept form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptIn our question
∵ The equation of the given line is y = 5x + 2
→ Compare it with the form above to find its slope
∴ m = 5
∵ The two lines are parallel
∴ Their slopes are equal
∴ The slope of the parallel line is 5
→ Substitute it in the form of the equation above
∴ y = 5x + b
→ To find the value of b substitute x and y in the equation by the
coordinates of any point on the line
∵ The line passes through point (-2, 1)
∴ x = -2 and y = 1
∵ 1 = 5(-2) + b
∴ 1 = -10 + b
→ Add 10 to both sides
∴ 1 + 10 = -10 + 10 + b
∴ 11 = b
→ Substitute value of b in the equation
∴ y = 5x + 11
∴ The equation of the parallel line is y = 5x + 11
an amusement park is building a roller coaster with a drop section modeled by a quadratic. the roller coaster will dip 6 feet below ground level. the roller coaster will dip below ground level at a horizontal distance of 32 feet from the peak and re-emerge to ground level at a horizontal distance of 74 feet from the peak. what is the expression that models this scenario? (use the peak of the roller coaster, just before the drop section, as your y-intercept)
the expression that models this roller coaster scenario is:nnf(x) = (-3 / 512) × (x - 0)²2 + 0 Simplifying further: f(x) = (-3 / 512) × x²2
To model the scenario of the roller coaster with a dip section, we can use a quadratic function in vertex form. The vertex form of a quadratic function is given by:
f(x) = a(x - h)²2 + k
Where (h, k) represents the vertex of the parabola.
In this case, the vertex of the parabola represents the peak of the roller coaster just before the drop section. Since the y-intercept is at the peak, the y-coordinate of the vertex is 0 (ground level). Let's assume the vertex is at the point (h, k) = (0, 0).
Now, we need to find the value of "a" to complete the expression. We know that the roller coaster dips 6 feet below ground level. We also know the horizontal distances at which it dips and re-emerges.
When the roller coaster dips 6 feet below ground level, the x-coordinate is 32 feet from the peak (horizontal distance from the vertex).
Substituting these values into the vertex form equation:
-6 = a(32 - 0)²2 + 0
Simplifying:
-6 = 1024a
Solving for "a":
a = -6 / 1024
a = -3 / 512
Therefore, the expression that models this roller coaster scenario is:
f(x) = (-3 / 512) × (x - 0)²2 + 0
Simplifying further:
f(x) = (-3 / 512) × x²2
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6X^2 if (x=4) answer this
Answer:
96
Step-by-step explanation:
4^2(PENDAS)=16
6*16=96