Answer:
y = x - 4
Step-by-step explanation:
The equation y = x - 4 gives the rule for given table.
Answer:
I'm 99% sure that the answer is A: y = x - 4.
Step-by-step explanation:
The x column minus 4 will give you you're answer in the y column. Hope this helps! :)
Polygon ABCD is drawn with vertices A(−4, −4), B(−4, −6), C(−1, −6), D(−1, −4). Determine the image coordinates of B′ if the preimage is reflected across y = 3.
B′(−4, 6)
B′(−4, 12)
B′(−1, −3)
B′(10, −6)
1.) Solve the following equation for w: 3w-4(w-3) = 6
Answer: w=6
Step-by-step explanation: 1. Simplify. Distribute the -4 to the w and the -3. -4*w is -4w and -4*-3 is +12, so your left with 3w-4w+12=6.
2. simplify again. 3w-4w is -w.
3. -w+12=6. Subtract w to both sides, so its -w=-6. The negatives cancel out, so w just equals 6.
PLEASE HELP D:
What is the area of a triangle that has a height of 10 feet and a base length of 8 feet?
A - 10 feet^2
B - 20 feet^2
C - 40 feet^2
D - 80 feet^2
Answer:
C. 40 ft²Step-by-step explanation:
Triangle area formula:
A = bh/2, where b- base, h- heightWe have:
b = 8 ft, h = 10 ftThe area is:
A = 8*10/2 = 40 ft²Correct choice is C
The perimeter of Marisa's garden is 32 feet. The width is 6 feet. What is the length of
Marisa's garden?
The length of Marisa's garden is 10
What is the length of Marisa's garden?The given parameters are:
Perimeter = 32 feet
Width = 6 feet
The perimeter is calculated as:'
Perimeter = 2 * (Length + width)
So, we have
2 * (Length + 6) = 32
Divide by 2
Length + 6 = 16
Subtract
Length = 10
Hence, the length of Marisa's garden is 10
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The price for a new car, without sales tax, is
$18,900. The buyer must also pay a 5% state
sales tax. What is the cost of the car includ-
ing the sales tax?
Answer:
Step-by-step explanation:
18900 divided by 10 = 1890
1890 divided by 2 is 945
945 is 5 percent of 18900
18900 + 945 = 17955
Answer = 19845
The sum of seven and x
Answer:
Step-by-step explanation:
s=7+x
Higher Order Thinking Morgan read
a thermometer at 7:00 P.M. The
temperature was 16°C. This temperature
was 9°C less than the temperature at
2:00 P.M. The temperature at 2:00 P.M.
was 10°C higher than the temperature at
8:00 A.M. What was the temperature at
8:00 A.M.?
The temperature at 8:00 A.M. was 15°C.
Using the given information:
1. At 7:00 P.M., the temperature was 16°C.
2. This temperature was 9°C less than the temperature at 2:00 P.M.
We can use this information to find the temperature at 2:00 P.M.:
Temperature at 2:00 P.M. = 16°C (temperature at 7:00 P.M.) + 9°C
Temperature at 2:00 P.M. = 25°C
3. The temperature at 2:00 P.M. was 10°C higher than the temperature at 8:00 A.M.
Now, we can find the temperature at 8:00 A.M.:
Temperature at 8:00 A.M. = 25°C (temperature at 2:00 P.M.) - 10°C
Temperature at 8:00 A.M. = 15°C
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A sheriff patrols several neighborhoods in her patrol car it requires 3/15 of an hour to patrol an entire neighborhood how many neighborhoods can the sheriff patrol in 5/8 of an hour
Based on the time it takes to patrol one neighborhood, the number of neighborhoods that the sheriff can patrol in 5/8 of an hour is 3.125 neighborhoods
How to find the number of neighborhoods?The number of neighborhoods that the sheriff can patrol in 5/8 hours depends on the number of hours that it takes the sheriff to patrol one neighborhood.
The number of neighborhoods she can patrol can therefore be found by the formula:
= Number of hours sheriff has / Number of hours required to patrol one neighborhood
= 5/8 ÷ 3/15
= 5/8 x 15/ 3
= 75 / 24
= 3.125 neighborhoods
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In a Washington town, the charge for commerical waste collection is $694.55 for 5 tons of waste and $1098.56 for 8 tons of waste. (a) Find a linear formula for the cost, C. of waste collection as a function of the weight, w, in tons.
Answer:
\( m =\frac{1098.56-694.55}{8-5}= 134.67\)
And we can find the intercept like this:
\( 694.55 = 134.67*5 +b\)
\( b = 694.55 -673.35= 21.2\)
And the equation would be given by:
\( C = 134.67 w + 21.2\)
Step-by-step explanation:
For this case we want a function given by:
\( C = mw +b\)
Where C is the cost, m the slope, w the weight and b the intercept.
We have the following info (w=5, C= 694.55) and (w=8, C=1098.56) and we can find the slope with this formula:
\( m =\frac{1098.56-694.55}{8-5}= 134.67\)
And we can find the intercept like this:
\( 694.55 = 134.67*5 +b\)
\( b = 694.55 -673.35= 21.2\)
And the equation would be given by:
\( C = 134.67 w + 21.2\)
A linear function is a function that changes at a constant rate.
The formula of the linear relationship is \(C = 134.67w + 21.2\)
The given parameters are:
w = 5, C = 694.55 ---- Charges for 5 tonsw = 8, C = 1098.56 ---- Charges for 8 tonsStart by calculating the slope (m)
\(m = \frac{C_2 - C_1}{w_2 - w_1}\)
This gives
\(m = \frac{1098.56 - 694.55 }{8- 5}\)
Simplify
\(m = \frac{404.01}{3}\)
This gives
\(m = 134.67\)
The equation is then calculated as:
\(C = m(w -w_1) + w_1\)
This gives
\(C = 134.67(w -5) + 694.55\)
Expand
\(C = 134.67w -673.35 + 694.55\)
\(C = 134.67w + 21.2\)
Hence, the formula of the linear relationship is \(C = 134.67w + 21.2\)
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WILL MARK BRAINLIEST
Sherlene bought 3 pounds of coffee and 2 pounds of chocolate for a total of $24. Which equation, written in standard form, correctly represents this scenario and correctly indicates what the
variables represent?
A) The correct equation is 3x + 2y = 24, where x is the price per pound of coffee and y is
the price per pound of chocolate.
B) The correct equation is 5x + y = 24, where x is the combined price per pound of
coffee and chocolate, and y is the total number of pounds purchased.
C) The correct equation is 3x + 2x + y = 24, where x is the combined price per pound of
coffee and chocolate, and y is the total number of pounds purchased.
D) The correct equation is 3x + 2y = 24, where x is the price per pound of chocolate and
y is the price per pound of coffee.
Answer:
AAAAAAAAAAAA answer is A
Step-by-step explanation:
Please use the following for the next 6 questions. Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that the population standard deviation for the earnings for such employees is $50. A sample of 100 such employees is selected at random.
1) What is the probability distribution of the average weekly earnings for employees in general automotive repair shops?
2) Find the probability that the average weekly earnings is less than $445.
3) Find the probability that the average weekly earnings is exactly equal to $445.
4) Find the probability that the average weekly earnings is between $445 and $455.
5) In answering the previous 3 questions, did you have to make any assumptions about the population distribution?
6) Now assume that the weekly earnings for employees in all general automotive repair shops is normally distributed, obtain the probability that a given employee will earn more than $480 in a given week.
1) The probability distribution of the average weekly earnings for employees in general automotive repair shops is the sampling distribution of the sample mean. According to the Central Limit Theorem, if the sample size is large enough, the sampling distribution of the sample mean is approximately normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
2) To find the probability that the average weekly earnings is less than $445, we can standardize the sample mean and use a z-table. The z-score for $445 is calculated as follows: z = (445 - 450) / (50 / sqrt(100)) = -1. Using a z-table, we find that the probability that the average weekly earnings is less than $445 is approximately 0.1587.
3) Since we are dealing with a continuous distribution, the probability that the average weekly earnings is exactly equal to any specific value is zero.
4) To find the probability that the average weekly earnings is between $445 and $455, we can subtract the probability that it is less than $445 from the probability that it is less than $455. The z-score for $455 is calculated as follows: z = (455 - 450) / (50 / sqrt(100)) = 1. Using a z-table, we find that the probability that the average weekly earnings is less than $455 is approximately 0.8413. Therefore, the probability that it is between $445 and $455 is approximately 0.8413 - 0.1587 = 0.6826.
5) In answering questions 2-4, we made an assumption about the population distribution based on the Central Limit Theorem. We assumed that since our sample size was large enough (n=100), our sampling distribution would be approximately normal.
6) If we assume that weekly earnings for employees in all general automotive repair shops are normally distributed with a mean of $450 and a standard deviation of $50, then we can calculate the z-score for an employee earning more than $480 in a given week as follows: z = (480 - 450) / 50 = 0.6. Using a z-table, we find that the probability that an employee will earn more than $480 in a given week is approximately 1 - 0.7257 = 0.2743.
PLEASE HELP ME
Jane and Eric are helping their teacher buy supplies for a research project. Every student will get a bag with 2 pencils and 30 index cards.
The teacher gave Jane $17 to buy pencils from the school store. The pencils come in boxes of 12 and cost $1.69 per box.
Eric was given $19 to buy index cards at an office supply store. Index cards are sold in packs of 150 cards and cost $2.99 per pack.
Jane buys as many boxes of pencils as she can afford. Eric buys as many packages of index cards as he can afford. How many complete bags of supplies can they make?
Answer:
They can make 30 Bags total.
Step-by-step explanation:
Jane has $17. There are 12 pencils in each pack for $1.60.
Jane can bay 10 packs of 12 pencils for $16.9 or else she will go over the amount of money she has.
1.69 x 10 = 16.9
Eric has $19. There are 150 cards in one pack for $2.99.
Eric can bay 6 packs of 150 cards for $17.94 or he ill go over the amount of money he has.
2.99 x 6 = 17.94
Eric.
150^6 = 900
900/30 = 30
Jane.
12^10 = 120
120/2 = 60
60/2 = 30
Together.
30 cards can go into 30 bags, and 2 pencils can go into 30 bags
A random sample of 100 adults aged 18 years or older were given a list of ice cream flavors and were asked to list which flavors they liked. The responses are given below. Chocolate 45 Strawberry 42 Vanilla 23 Mocha 19 Which of the following graphs would be most appropriate for visually displaying the results? Pie Chart Frequency Bar Graph Relative Frequency Bar Graph
The most appropriate graph to visualize the information is a PIE CHART. The frequency bar graph makes an independent bar of each fruit each, while it is ideal, it is not easy to identify the total or percentage of each.
Both charts could be used to make a display of the information given.
The frequency bar graph makes an independent bar of each fruit each, while it is ideal, it is not easy to identify the total or percentage of each.
The pie chart could be used to represent a whole of the 100 fruits as a single circle and divides the circle into parts based on the number of fruit belonging to each type including their respective percentages.
Also, since the number of fruits/types are just 5, using a pie chart gives a more accurate and readable visual representation of the information.
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-4 is greater than of equal to x - 11
Using the inequality rule we know that 11 is greater than -11, (11 > -11).
What is an Inequality Equation?Mathematical expressions with inequalities are those in which the two sides are not equal.
Contrary to equations, we compare two values in inequality.
Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Two expressions in inequality aren't always equal, which is denoted by the symbols >, <, ≤, or ≥.
So, let's say the inequality equation looks like this: A
Right now, A is valued at
Let p be used to representing the initial number.
P equals 11, so
Let q be used to representing the second number.
Q has a value of -11.
-11 and 11 are both numbers that are greater than zero.
Then, 11 > -11 ... (1)
A has a value of 11 > -11.
Therefore, using the inequality rule we know that 11 is greater than -11, (11 > -11).
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Correct question:
Is 11 greater than, equal to, or less than -11?
In a multiple regression problem involving two independent variables, if b1 is computed to be +2.0. It means that a. the estimated mean of Y increases by 2 units for each increase of 1 unit of X1, without regard to X2.
b. the estimated mean of Y increases by 2 units for each increase of 1 unit of X1. holding X2 constant.
c. the estimated mean of Y is 2 when XI equals zero.
d. the relationship between X1 and Y is significant
In multiple regression problem with two independent variables, value of one varible , b₁ is 2 then it means that the estimated mean of Y increases by 2 units for each increase of 1 unit of X₁, holding X₂ constant. So, second option is correct option.
Multiple Regression: Multiple regression is a statistical technique that can be used to analyze the relationship between a single dependent variable and multiple independent variables. The goal of multiple regression analysis is to use independent variables with known values to predict the value of each dependent value.
Y = b₁x₁+ b₂x₂ + … bₙxₙ + a
Here Y is the dependent variable, and X₁,…,Xₙ are the n independent variables. In calculating the weights, a, b₁,…,bₙ,
In the multiple regression b1 shows the coeffcient of independent variable X₁ in fitted model.
Here b₁ =+2.0 shows that for each unit increase in X₁, dependent variable Y is increased by 2 keeping other things constant.
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A backyard pool has a concrete walkway around it that is 5' wide on all sides the total area of the pool and the walkway is 950' at the length of the pool is 8' longer than the width find the dimensions of the pool
The dimensions of the pool would give a quadratic equation x² + 28x - 770 = 0
How to determine the dimension
For the pool, we have that;
Let the width = x feet
Length = (x+8) feet
The pool alongside the walkway gives;
Width = x + 5 + 5 = (x + 10) feet
Length = x + 8 + 5 + 5 = (x + 18) feet
Total area of the pool with walkway = 950 square feet
Note that formula for area is given as
Area = length * width = 950
Equate the length and width
(x+18) × (x + 10) = 950
Using the FOIL method, we have;
(x × x )+ (x × 10) + (18 × x) + (18 × 10) = 950
x² + 10x + 18x + 180 -950 = 0
collect like terms
x² + 28x - 770 = 0
Thus, the dimensions of the pool would give a quadratic equation x² + 28x - 770 = 0
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I need help please now!!!!
Answer:
top right one
Step-by-step explanation:
Answer:
The line slants downward, so the slope is negative.
Step-by-step explanation:
In the first quadrant you start at (7,4) and move 4 units left and 3 units up.
Answer:
(3,7)
Step-by-step explanation:
(7,4)
Moving left and right relates to x
Moving up and down relates to y
When you move to the left, you subtract
When you move to the right, you add
When moving up, you add
When moving down you subtract
X= 7-4 = 3
x=3
Y= 4+3 = 7
y = 7
(3,7)
Consider the following figure.
(Note that the figure is not drawn to scale.)
46°
72°
53°
L
57°
K
Order the side lengths IJ, JL, IK, JK, and LK from least to greatest.
O
The order of the side lengths of the triangles from the least to the greatest is Lk < JL < IJ < JK < IK.
How does angle opposite to a side of triangle affect its size?
If the angle facing a side of a triangle increases, then the length of the opposite side may also increase. This is because the larger the angle, the more vertical the opposite side becomes, and therefore the longer it may become.
Conversely, if the angle facing a side of a triangle decreases, then the length of the opposite side may also decrease. This is because the smaller the angle, the less vertical the opposite side becomes, and therefore the shorter it may become.
From the given diagram, the largest side of the triangle will be the side directly opposite the largest angle.
Also, the smallest side of the triangle will be the side directly opposite the smallest angle.
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Find the surface area of a cylinder with a height of 7 in and a base diameter of 8 in.
Use the value 3.14 for pi and do not do any rounding.
Be sure to include the correct unit.
The total surface area of the cylinder whose height is 7 units and diameter is 8 units is 226.08 units.
What is surface area?
The surface area of a solid item is a measurement of the total volume that the surface of the thing occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more complicated than the definition of arc length for one-dimensional curves or the definition of surface area for polyhedra (i.e., objects with flat polygonal faces), where the surface area is equal to the sum of the areas of its faces. When smooth surfaces, like spheres, are represented as parametric surfaces, their surface area can be calculated. This definition of surface area, based on infinitesimal calculus methods, uses partial derivatives and double integration.
The formula to calculate the total surface area of a cylinder is:
\(S = 2\pi rh + \pi r^2\)
Where, S = surface area, r = radius, and h = height
As given in the question,
height (h) = 7 units
diameter (d) = 8 units
Since, r = d/2
So, r = 8/2 = 4 units
putting these values in the formula:
\(S = (2\times 3.14 \times 4 \times 7)+( 3.14 \times 4^2)\)
\(S = (2\times 3.14 \times 4 \times 7)+( 3.14 \times 16)\)
\(S = 175.84 + 50.24\\\)
S = 226.08 units
Therefore, Surface area of the cylinder is 226.08 units
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Please Help! In which of the following intervals does the trigonometric inequality sec(x)
Since this is multiple choice, we can pick any x from the listed intervals and check whether sec(x) < cot(x) is true.
• From 0 < x < π/2, take x = π/4. Then
sec(π/4) = 1/cos(π/4) = √2
cot(π/4) = 1/tan(π/4) = 1
but √2 < 1 is not true.
• From π/2 < x < π, take x = 3π/4. Then
sec(3π/4) = 1/cos(3π/4) = -√2
cot(3π/4) = 1/tan(3π/4) = -1
and -√2 < -1 is true. So sec(x) < cot(x) is always true for π/2 < x < π.
• From π < x < 3π/2, take x = 5π/4. Then
sec(5π/4) = 1/cos(5π/4) = -√2
cot(5π/4) = 1/tan(5π/4) = 1
and -√2 < 1 is true. So sec(x) < cot(x) is also true for π < x < 3π/2.
• From 3π/2 < x < 2π, take x = 7π/4. Then
sec(7π/4) = 1/cos(7π/4) = √2
cot(7π/4) = 1/tan(7π/4) = -1
but √2 < -1 is not true.
0 is included in first one it can't be a choice
Test second one
secπ/2<cotπ/2secπ<cotπHence it's true
Third one
secπ<cotπsec270<cot270This is also true
Option B and C are correct
Convert 20 miles to km
Answer:
32.1869
Step-by-step explanation:
You can use an online converter!
You can look up Miles to KM
Can anyone help me solve this? Please and thank you!
It's the sum of a geometric sequence.
Let's rewrite it a bit:
\(\displaystyle\\\sum_{n=1}^{10}8\left(\dfrac{1}{4}\right)^{n-1}=8\sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n\cdot \left(\dfrac{1}{4}\right)^{-1}=8\sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n\cdot 4=32\sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n\)
And now let's calculate this sum \(\displaystyle \sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n\):
\(S_n=\dfrac{a(1-r^n)}{1-r}\\\\a=\dfrac{1}{4}\\n=10\\r=\dfrac{1}{4}\\\\S_{10}=\dfrac{\dfrac{1}{4}\cdot\left(1-\left(\dfrac{1}{4}\right)^{10}\right)}{1-\dfrac{1}{4}}=\dfrac{\dfrac{1}{4}\cdot\left(1-\dfrac{1}{1048576}\right)}{\dfrac{3}{4}}=\dfrac{\dfrac{1048575}{1048576}}{3}=\dfrac{1048575}{3145728}=\\=\dfrac{349525}{1048576}\)
Now let's calculate the initial sum:
\(\displaystyle 32\cdot \sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n=32\cdot \dfrac{349525}{1048576}=\dfrac{349525}{32768}\approx10.67\)
2. Find the solution to the following system of eguations using the addition method
4x - 5y = 13
X + 5y = -3
Answer: (2, -1)
Explanation: Since one equation has a -5y and the other equation
has a +5y, when we add the equations together, the y's will cancel out.
So we have 5x = 10 and x = 2.
To find y, plug 2 back in for x in either of the two original equations.
I have chosen to plug 2 into the second equation to get (2) + 5y = -3.
Solving from here, y = -1.
So our final answer is the ordered pair (2, -1).
Now, check your answer.
Two cities a and b are mapoed on the coordinate plane how far apart are they from each other
The distance between city a and city b is square root {(x_2 - x_1)^2 + (y_2 - y_1)^2} where (x_1, y_1) is city a coordinates and (x_2, y_2) is city b coordinates.
Given,
Two cities a and b are mapoed on the coordinate plane.
We need to find the distance between them.
What is the distance between two points in a coordinate plane?One point has (a,b) coordinates.
The other point has (c,d) coordinates.
The distance between them is given by:
square root {(c-a)^2 + (d-b)^2}
Let,
City a has (x_1, y_1) coordinates.
City b has (x_2, y_2) coordinates.
Find the distance between city a and city b.
Distance = square root {(x_2 - x_1)^2 + (y_2 - y_1)^2}
Thus the distance between city a and city b is square root {(x_2 - x_1)^2 + (y_2 - y_1)^2} where (x_1, y_1) is city a coordinates and (x_2, y_2) is city b coordinates.
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find the domain and range of each f(x)^ * = 1 + x ^ 2
The function f(x)* = 1 + x^2 is defined for all real numbers x, so the domain is all real numbers, or (-∞, ∞).
How to explain the domainIn determining the function's output values, one must consider its collection of feasible results to extract the range. Reviewing f(x)* exhibits a minimum value of 1 due to x^2 being perpetually non-negative, while adding another factor merely preserves positivity.
Concurrently as x skyrockets, so too does the value of f(x)* given that approaching infinity generates infinitely larger powers than any constant coefficient subordinated by it. Consequently, the overall range of f(x)* becomes [1, ∞), enwrapping all feasible solutions equivalent or superior to 1.
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f3 + 11g - 4h when f=3 g=2 h=7
Answer:
3
Step-by-step explanation:
3 x 3 = 9
11 x 2 = 22
4 x 7 = 28
9 + 22 = 31
31 - 28 = 3
hope this helps :)
find the value of x.
Answer:
x = 120 degress
Step-by-step explanation:
I can help with more, I have the answers.
Multiply and simplify (4x-2)(3x^2-2x+1) Write answer in standard form
Answer:
12x^3 - 14x^2 + 8x - 2Answer:
12\(x^{3}\) - 14x² + 8x - 2
Step-by-step explanation:
1. Distribute the parentheses:
4x(3x²) + 4x(-2x) + 4x(1) + (-2)(3x²) + (-2)(-2x) + (-2)(1)
2. Multiply:
12\(x^{3}\) + (-8x²) + 4x + -6x² + 4x + (-2)
3. Combine like terms:
12\(x^{3}\) - 14x² + 8x -2
hope this helps!
Conrad paid $52.26 for a pair of shoes. Michelle paid $3.89 more for a pair of shoes than Conrad paid for his.
Answer:Michelle paid $56.15 for her shoes
Step-by-step explanation:
Answer:Michelle paid $56.15 for her shoes
Step-by-step explanation:
Since Michelle paid $3.89 more for her shoes compared to Conrad, who paid $52.26. This means you have to add $3.89 to $52.26.
$3.89+$52.25= $56.15
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