Step-by-step explanation:
CA is the another name of of AC
what is the value of the expression if a=-7 and b=-3? a^3-b^2
You're Answer is:
-352
Answer:
334
Step-by-step explanation:
Set up a system of equations for the following situation: The girls basketball team spent a total of $1,590 on new basketballs and sweat suits for the players. If each new basketball cost $30 and each sweat suit cost $90, how many of each did the team purchase? *
Answer:
there are 13 players in a team
Solve for x.
15x-12y=5
The solution for x in the given equation; 15x-12y=5 is; x = (5+12y)/15
Solution for xWhen making x the subject of the formula in the given equation;
15x-12y=5We can do the following;
15x = 5 +12yx = (5+12y)/15Or
x = (1/3) + (4/5)yRead more on solving for x;
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Write the number two and a half million in figures?
Answer:
2,500,000
Step-by-step explanation:
here's the answer
have a great day or night
HELP
The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair.
Function 1
graph of function f of x equals negative x squared plus 8 multiplied by x minus 15
Function 2
f(x) = −x2 + 2x − 15
Function 1 has the larger maximum at (4, 1).
Function 1 has the larger maximum at (1, 4).
Function 2 has the larger maximum at (−14, 1).
Function 2 has the larger maximum at (1, −14).
The correct statement regarding the maximum values of the quadratic functions is given as follows:
Function 1 has the larger maximum at (4, 1).
How to obtain the maximum values?The standard definition of a quadratic function is given as follows:
y = ax² + bx + c.
The x-coordinate of the vertex of a quadratic function is given as follows:
x = -b/2a.
Hence, for each function, the x-coordinate of the vertex is given as follows:
Function 1: x = -8/-2 = 4.Function 2: x = -2/-2 = 1.Each function has a negative leading coefficient, hence the vertex represents a maximum value, and the y-coordinate is given as follows:
Function 1: f(4) = -(4)² + 8(4) - 15 = 1.Function 2: f(1) = -(1)² + 2(1) - 15 = -14.1 > -14, hence the correct statement is given as follows:
Function 1 has the larger maximum at (4, 1).
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The floor of a rectangular living room is 12 feet by 16 feet. What is the distance between
opposite corners of the living room?
Answer:
The width of Dana's living room is 16 feet.
Explanation:
Because Dana's living room is rectangular and we are given the length of one side and the length of the diagonal we can use the Pythagorean Theorem to solve this problem.
For a right triangle which the length, width and diagonal make up the Pythagorean Theorem states:
a
2
+
b
2
=
c
2
Let the length of 12 be
a
and because the diagonal is the hypotenuse of the triangle (the side opposite the right angle) we let
c
be 20. Substituting and solving gives:
12
2
+
b
2
=
20
2
144
+
b
2
=
400
144
−
144
+
b
2
=
400
−
144
0
+
b
2
=
256
b
2
=
256
√
b
2
=
√
256
b
=
16
Help me guys plsss!!!!!
Answer:
I have no idea
Step-by-step explanation:
the phase change line demonstrates a change in conditions on a graph and is represented by
The phase change line, also known as the phase boundary or phase transition line, is a line on a graph that represents a change in conditions for a substance. This line shows the temperature and pressure conditions at which a substance will change from one phase to another, such as from a solid to a liquid or from a liquid to a gas.
The phase change line is represented on a graph by a diagonal line that separates two regions where the substance is in different phases. This line usually slopes upwards from left to right, indicating that higher temperatures and pressures are needed to change the substance from one phase to another.
The phase change line is an important concept in thermodynamics and is used to understand the behavior of substances under different conditions. For example, the phase change line for water shows that at normal atmospheric pressure, water will freeze at 0°C and boil at 100°C. However, at higher pressures, the freezing and boiling points will change, and water may exist in different phases, such as a supercritical fluid.
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Find the area of each figure s
(10 Points)
12 mi
1
8 mi
18 mi
5 mi
Which equation represents the table of values?
Answer:
It is y = -1/2x + 1/2
Step-by-step explanation:
or
y = -0.5x + 0.5
or
answer choice B
x: (x + 5) = 4:5 Work out the value of x.
Answer:x÷(x+5)=4÷5
5x=(x+5)4
5x=4x+20
5x-4x=20
X=20
Step-by-step explanation:
The first five terms of an arithmetic sequence are 8, 13/2, 5, 7/2, and 2. Which function, f(x), could be used to describe the xth term of the sequence?
f(x)=?
Answer:
The nth term of the sequence is:
\(a_n=\frac{-3n+3}{2}+8\)
Step-by-step explanation:
Given the first 5 terms of the arithmetic sequence
8, 13/2, 5, 7/2, and 2
An arithmetic sequence has a constant difference 'd' and is defined by:
\(a_n=a_1+\left(n-1\right)d\)
as the common difference 'd' is:
\(d=a_{n+1}-a_n\)
Computing the differences of all the terms
\(\frac{13}{2}-8=-\frac{3}{2},\:\quad \:5-\frac{13}{2}=-\frac{3}{2},\:\quad \frac{7}{2}-5=-\frac{3}{2},\:\quad \:2-\frac{7}{2}=-\frac{3}{2}\)
\(d=-\frac{3}{2}\)
The first element is:
\(a_1=8\)
Therefore, the nth term is computed by:
\(a_n=a_1+\left(n-1\right)d\)
\(a_n=-\frac{3}{2}\left(n-1\right)+8\)
\(a_n=\frac{-3n+3}{2}+8\)
Therefore, nth term of the sequence is:
\(a_n=\frac{-3n+3}{2}+8\)
Hazel deposited $1,000 in her savings account. She earned 6.5% annual simple interest on the first $700 of her deposit and 3.5% simple interest on the remainder, How much interest did Hazel earn
after one year? (1 point)
O $45.00
O $51.00
O $56.00
O $65.00
Answer:
The answer is C. $56.00
Hazel earned $56.00 in interest after one year.
Step-by-step explanation:
700 x 6.5% =
700 x 0.065 = 45.5
300 x 3.5% =
300 x 0.035 = 10.5
45.5 + 10.5 = 56.00
what is the literal coefficient of the term - x2 ?
(a²)³ × a5 tell me the answer step by step please
Answer:
a^11
Step-by-step explanation:
a to the power of 2 to the power of 3 equals to a to the power of 6
then, multiplied to a to the fifth, you add 5 by 6, which is 11
you asked eight of your classmates the score they received on the last statistics exam. the average of these eight scores was found to be 65. on the basis of this information, you stated that the average test score for the entire class was less than 70. this is an example of what major branch of statistics?
The major branch of statistics that deals with making inferences about a population based on a sample is called inferential statistics.
In this scenario, you collected data from a sample of eight classmates and calculated the average score to be 65.
Based on this sample, you made an inference about the entire class, stating that the average test score for the whole class was less than 70. This inference is an example of using inferential statistics. Inferential statistics allows us to draw conclusions and make predictions about a larger population based on a smaller sample.
By using statistical techniques and assumptions, we can estimate parameters, such as the population mean, using sample statistics. This helps us make informed decisions and generalizations about a population when it is not feasible or practical to collect data from the entire population.
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nikola competed in an aquathon (swimming and running) competition. he swam at a rate of km/hr and ran at a rate of km/hr for a total distance traveled of km. if he completed the race in hours, how long did he take to complete each part of the race?
Nikola took 2 hours to finish the swimming part
Nikola took 4.5 hours to finish the running part
Define Algebra?A form of arithmetic in which the rules of arithmetic are used to combine letters that represent numbers.
Calculations:
Assume,
\(t=time\;in\;hrs\;to\;complete\;swimming\;part\)
\(6.5-t=time\;in\;hrs\;to\;complete\;running\;part\)
\(d=distance\;in\;km\;that\;he\;swam\)
\(73.5-d=distance\;in\;km\;that\;he\;ran\)
Equation of swimming part,
\(d=3t\)
Equation of running part.
\(73.5-d=15\times(6.5-t)\)
Substitute the value of d in running part equation,
\(73.5-3t=15\times(6.5-t)\)
\(73.5-3t=97.5-15t\)
\(12t=24\)
Therefore,
\(t=2\)
\(Time\;to\;complete\;summing\;part=t\)
\(Time\;to\;complete\;summing\;part=2\;hours\)
\(Time\;to\;complete\;summing\;part=6.5-t\)
\(Time\;to\;complete\;summing\;part=6.5-2\)
\(Time\;to\;complete\;summing\;part=4.5\;hours\)
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Graph Using the equation y = 3 X-3, identify the 4 slope y-intercept
Answer:
(y)3 x (x)3
Step-by-step explanation:
Determine the angle between 0 and 2π that is coterminal to 780°
The angles between 0 and 2π that is coterminal to 780° are 2π and π/3.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The coterminal angle to 780°.
The coterminal angle is between 0 and 2π.
Now,
The coterminal angles can be positive or negative.
The coterminal angles are calculated by adding or subtracting 360 degrees as many times as needed from the reference angle.
Now,
780 - 360
= 780 - 360
= 360
= 2π
780 - (2 x 360)
= 780 - 720
= 60
= π/3
Thus,
The angles are 2π and π/3.
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Choose the system of equations which matches the following graph.
A. 3x-6y=12
9x-18y=36
B. 3x+6y=12
9x+18y=36
The system of equations that matches the given graph is:
A. 3x - 6y = 12
9x - 18y = 36
To determine which system of equations matches a given graph, we need to analyze the slope and intercepts of the lines in the graph.
Looking at the options provided:
A. 3x - 6y = 12
9x - 18y = 36
B. 3x + 6y = 12
9x + 18y = 36
Let's analyze the equations in each option:
For option A:
The first equation, 3x - 6y = 12, can be rearranged to slope-intercept form: y = (1/2)x - 2.
The second equation, 9x - 18y = 36, can be simplified to 3x - 6y = 12, which is the same as the first equation.
In option A, both equations represent the same line, as they are equivalent. Therefore, option A does not match the given graph.
For option B:
The first equation, 3x + 6y = 12, can be rearranged to slope-intercept form: y = (-1/2)x + 2.
The second equation, 9x + 18y = 36, can be simplified to 3x + 6y = 12, which is the same as the first equation.
In option B, both equations also represent the same line, as they are equivalent. Therefore, option B does not match the given graph.
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The engines made by Ford for speedboats have an average power of 220 horsepower (HP) and a standard deviation of 15 HP. It is assumed that the power of the engines follows a normal distribution. If a sample of 4 engines is taken, what is the probability that the sample mean differs from the actual mean by at least 12 HP?
The probability that the sample mean differs from the actual mean by at least 12 hp is approximately 1. 8904 or 189.04%.
to determine the probability that the sample mean differs from the actual mean by at least 12 hp, we can use the central limit theorem and the properties of the normal distribution.
given:population mean (μ) = 220 hp
population standard deviation (σ) = 15 hpsample size (n) = 4
according to the central limit theorem, for a large enough sample size (n > 30), the sample mean follows a normal distribution, regardless of the shape of the population distribution.
to find the probability that the sample mean differs from the actual mean by at least 12 hp, we need to calculate the z-score for this difference and then find the corresponding cumulative probability.
first, we calculate the standard error of the mean (se) using the formula:
se = σ / √n
se = 15 / √4 = 7.5 hp
next, we calculate the z-score using the formula:z = (x - μ) / se
for a difference of at least 12 hp:
z = (12 - 0) / 7.5 = 1.6
using a standard normal distribution table or a calculator, we find the cumulative probability corresponding to z = 1.6 is approximately 0.9452.
however, we need to consider the probability of the sample mean differing by at least 12 hp in either direction, so we double this probability:p(mean differs by at least 12 hp) = 2 * 0.9452 = 1.8904
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Please help for a Brainly
please be accurate
What are the slope and y-intercept of the line 5x+2y=−22? To earn full credit, show your work
Answer:
Slope: -5/2
Y-Intercept: 0,-11
Step-by-step explanation:
A standard die is rolled. Find the probability that the number rolled is less than 4. Express your answer as a fraction in lowest terms or a
decimal rounded to the nearest millionth
Answer:
1/2
Step-by-step explanation:
The results of the roll can be
1,2,3,4,5,6
The rolls that are less than 4 are 1,2,3
P( less than 4) = number of rolls less than 4 / total
= 3/6
=1/2
Say, for example, the correlation is 0.75 between fat content (measured in grams) and cholesterol level (measured in milligrams) for 20 different brands of American cheese slices. If cholesterol level were changed to being measured in grams (where 1 gram = 1000 milligrams), what effect would this have on the correlation?
If cholesterol level were changed to being measured in grams instead of milligrams, the correlation between fat content and cholesterol level would not be affected.
This is because correlation is a measure of the strength and direction of the linear relationship between two variables, and converting the units of measurement does not change the underlying relationship between the variables. So, the correlation coefficient of 0.75 would remain the same whether cholesterol level is measured in milligrams or grams.
The correlation between fat content and cholesterol level for the 20 different brands of American cheese slices is 0.75. If you change the measurement of cholesterol level from milligrams to grams (1 gram = 1000 milligrams), it will not affect the correlation. The correlation coefficient will remain 0.75, as it is unit-less and only represents the strength and direction of the relationship between the two variables.
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HELP ASAP PLEASE I NEED THIS QUICK
40 POINTS
Answer: 4/25
Step-by-step explanation:
(2/5)^2 or can write as 2/5 times 2/5
2/5 times 2/5 = 4/25
Answer:
0.08
Step-by-step explanation:
2/5 = 0.4 x 0.4
Staci has 13 pieces of rope, each piece is 5 feet long. What is the least number of pieces that she needs to tie together to make a length that is at least 12 yards long?
A) 10 pieces
B) 6 pieces
C) 7 pieces
D) 8 pieces
The least number of pieces that she needs to tie together to make a length of at least 12 yards long is 8 pieces.
How to find the least number of pieces to tie?Staci has 13 pieces of rope, each piece is 5 feet long. Therefore, the least number of pieces that she needs to tie together to make a length that is at least 12 yards long can be calculated as follows:
Therefore,
1 piece = 5 feet
13 piece = ?
Therefore,
13 piece = 65 feet
Hence,
1 yard = 3 feet
12 yards = ?
cross multiply
number of feet = 36 feet
Number of pieces to get at least 12 yards(36 feet) = 36 / 5
Number of pieces to get at least 12 yards = 8 pieces
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I need help asap
I cannot figure this out
You have prizes to reveall Go to your ga
Seventh grade
Z. 1 Scale drawings: word problems 84H
)) Steven made a scale drawing of a theater. The stage is 5 inches wide in the drawing. The
actual stage is 20 feet wide. What is the scale of the drawing?
) 1 inch :
feet
The scale of the drawing of theater based on the value of scale in drawing and actuals stage is 1:4.
The scale of the drawing will be calculated by the formula -
Scale of the drawing = measure of new shape/measure of original shape
Keep the values in formula to find the scale of the drawing
Scale of the drawing = 5/20
Performing division on Right Hand Side of the equation to find the scale of the drawing
Scale of the drawing = 1:4
Hence, the scale of the drawing of theater when comparing drawing and actual theater is 1:4.
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Find the distance from (1,−5,7) to each of the following.
(a) the xy-plane
(b) the yz-plane
(c) the xz-plane
(d) the x-axis
(e) the y-axis
(f) the z-axis
In all cases, the distance from the point (1, -5, 7) to the given plane or axis is 0.
To find the distance from a point to a plane or axis, we can use the formula for the distance between a point and a plane or axis in three-dimensional space. The formula is given by:
Distance = |Ax + By + Cz + D| / √(A² + B² + C²)
where (x, y, z) is the point, and the plane or axis is represented by the equation Ax + By + Cz + D = 0.
Let's calculate the distances for each case:
(a) Distance to the xy-plane:
The equation of the xy-plane is z = 0.
Substituting the values of the point (1, -5, 7) into the equation, we get:
1(0) - 5(0) + 7D + D = 0
8D = 0
D = 0
Using the formula, the distance is:
Distance = |1(0) + (-5)(0) + 7(0) + 0| / √(1² + (-5)² + 7²)
= 0 / √(1 + 25 + 49)
= 0
(b) Distance to the yz-plane:
The equation of the yz-plane is x = 0.
Substituting the values of the point (1, -5, 7) into the equation, we get:
0 + 5(0) - 7(0) + D = 0
0 + 0 - 0 + D = 0
D = 0
Using the formula, the distance is:
Distance = |1(0) + (-5)(0) + 7(0) + 0| / √(1² + (-5)² + 7²)
= 0 / √(1 + 25 + 49)
= 0
(c) Distance to the xz-plane:
The equation of the xz-plane is y = 0.
Substituting the values of the point (1, -5, 7) into the equation, we get:
0 - 5(0) + 7(0) + D = 0
0 - 0 + 0 + D = 0
D = 0
Using the formula, the distance is:
Distance = |1(0) + (-5)(0) + 7(0) + 0| / √(1² + (-5)² + 7²)
= 0 / √(1 + 25 + 49)
= 0
(d) Distance to the x-axis:
The equation of the x-axis is y = 0, z = 0.
Substituting the values of the point (1, -5, 7) into the equation, we get:
0 - 5(0) + 7(0) + D = 0
0 - 0 + 0 + D = 0
D = 0
Using the formula, the distance is:
Distance = |1(0) + (-5)(0) + 7(0) + 0| / √(1² + (-5)² + 7²)
= 0 / √(1 + 25 + 49)
= 0
(e) Distance to the y-axis:
The equation of the y-axis is x = 0, z = 0.
Substituting the values of the point (1, -5, 7) into the equation, we get:
0 + 5(0) + 7(0) + D = 0
0 + 0 + 0 + D = 0
D = 0
Using the formula, the distance is:
Distance = |1(0) + (-5)(0) + 7(0) + 0| / √(1² + (-5)² + 7²)
= 0 / √(1 + 25 + 49)
= 0
(f) Distance to the z-axis:
The equation of the z-axis is x = 0, y = 0.
Substituting the values of the point (1, -5, 7) into the equation, we get:
0 - 5(0) + 7(0) + D = 0
0 - 0 + 0 + D = 0
D = 0
Using the formula, the distance is:
Distance = |1(0) + (-5)(0) + 7(0) + 0| / √(1² + (-5)² + 7²)
= 0 / √(1 + 25 + 49)
= 0
In all cases, the distance from the point (1, -5, 7) to the given plane or axis is 0.
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Which statement about liters and milliliters is true?
2) There are 1,000 liters in a milliliter.
» There are 100 milliliters in a liter.
(1) There are 1,000 milliliters in a liter.
There are 100 liters in a milliliter.
Answer:
There are 1,000 mL in a L
Step-by-step explanation:
All the other answers are wrong