Darell made a scale drawing if a house its lot he used the scale 1 inch: 9 feet in the drawing the backyard is 5inches wide what is the width of the actual yard
Answer:
Your answer is 45
Step-by-step explanation:
Hope this helps! :D
What slope would make the lines
parallel?
y = 1/2x - 1
y = / x + 2
Which of the following statements is true of the data displayed on this graph? 3 2 (2,5) (1,2) 2 77 (3,4) (3, 1) 3 (6,5) (5,3) 5 6 O The set of points on this graph is a relation and is a function. O The set of points on this graph is a relation but not a function O The set of points on this graph is a function but not a relation O The set of points on this graph is not a function and not a relation.
The set of points on this graph is a relation but not a function
We know that every function can be a relation but every relation cannot be a function.
A relation means the connection between the input and the output.
A function means that for every input there should only be one output.
Here, we have the data as:
(2,5), (1,2), (3,4), (3, 1), (6,5) and (5,3)
We can say that it is a relation as for every input, there is an output.
But, it is not a function.
This is because the input 3 has 2 outputs as 1 and 4 which is not possible in a function.
Therefore, the set of points on this graph is a relation but not a function.
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if an avocado is 1$ per pound how many is it for 9 pounds?
If an avocado costs $1 per pound, the cost of 9 pounds, using multiplication, is $9.
What is multiplication?Multiplication is one of the four basic mathematical operations, including addition, subtraction, and division.
Multiplication involves the multiplicand, the multiplier, and the product.
The cost per pound of an avocado = $1
The total quantity considered = 9 pounds
Proportionately, the total cost of 9 pounds = $9 ($1 x 9)
Thus, based on multiplication operation, the total cost of 9 pounds is $9.00.
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Determine the intercepts of the line
x- intercept (_,_)
y- intercept (_,_)
Answer:
y: (0,15)
X: (-40,0)
Answer:
X intercept is (-40,0) y intercept is (0,15)
Step-by-step explanation:
The intercept is when it crosses the axis.
Someone plzzzzz help meee
Answer:
3 by 2 triangle
Step-by-step explanation:
9 x 1/3 = 3
6 x 1/3 = 2
then you connect the last line ;-;
what is the distributive form of 5 (a - b)
Answer:
5a-5b
Step-by-step explanation:
hope this helps :))
Boris is making iced tea. He has a container that has a volume of 7.6 dm3 to hold the iced tea. Find how many kiloliters of iced tea will completely fill the container. Use the table of conversion facts, as needed.
The capacity of the container is equal to 7.6 × 10⁻³ kiloliters.
How many kiloliters are required to fill a container?
This is a unit conversion question, in which we need to determine how many kiloliters are equivalent to the capacity of a container.
According to capacity tables, a cubic decimeter or 1000 cubic centimeters equals a liter. Then, we can determine the number of kiloliters by using the following cross multiplication:
x = 7.6 dm³ × (1 L / 1 dm³) × (1 kL / 1000 L)
x = 7.6 × 10⁻³ kL
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all i need is for question 14 to be answered please help
Given
The path of particle 1 is,
\(x(t)=3t-6,\text{ }y(t)=t^2-2t\)And, the path of second particle is,
\(x(t)=\sqrt{t+6},\text{ }y(t)=-3+2t\)To model the path of the two particles in cartesian form and to find whether, the two particles collide.
Explanation:
It is given that,
The path of the first particle is,
\(x(t)=3t-6,\text{ }y(t)=t^2-2t\)That implies,
\(x=2t-6,\text{ }y=t^2-2t\)Consider,
\(\begin{gathered} x=2t-6 \\ 2t=x+6 \\ t=\frac{x+6}{2} \end{gathered}\)Therefore,
\(\begin{gathered} y=(\frac{x+6}{2})^2-2(\frac{x+6}{2}) \\ y=\frac{x^2+12x+36}{4}-\frac{2x+12}{2} \\ y=\frac{x^2+12x+36-2(2x+12)}{4} \\ y=\frac{x^2+12x+36-4x-24}{4} \\ y=\frac{x^2+8x+12}{4}\text{ \_\_\_\_\_\_\_\_\_\_\lparen1\rparen} \end{gathered}\)Also, the path of second particle is,
\(x(t)=\sqrt{t+6},\text{ }y(t)=-3+2t\)That implies,
\(x=\sqrt{t+6},\text{ }y=-3+2t\)Consider,
\(\begin{gathered} y=-3+2t \\ 2t=y+3 \\ t=\frac{y+3}{2} \end{gathered}\)Therefore,
\(\begin{gathered} x=\sqrt{t+6} \\ \Rightarrow x^2=(t+6) \\ \Rightarrow x^2=(\frac{y+3}{2})+6 \\ \Rightarrow x^2=\frac{y+3+12}{2} \\ \Rightarrow2x^2=y+15 \\ \Rightarrow y=2x^2-15\text{ \_\_\_\_\_\lparen2\rparen} \end{gathered}\)Hence, y=(x^2+8x+12)/4, y=2x^2-15 are the paths of the two particles respectively.
The graph of the path of the two particles are,
From, this it is clear that the particle collide at the points (-2.686, -0.568) and (3.829, 14.324).
Manuel's small dog eats
1
8
bag of dog food in 1 month. His large dog eats
5
8
bag of dog food in 1 month.
How many bags do both dogs eat in 6 months?
Answer:
I wanna say 348?? maybe.... I think
If the function y=sin(x) is transformed to y = sin(2x), how does the graph change?
It is stretched vertically.
It is compressed vertically.
It is stretched horizontally.
It is compressed horizontally..
Step-by-step explanation:
The transformation y = sin(2x) affects the graph of y = sin(x) by compressing it horizontally.
The function y = sin(2x) has a coefficient of 2 in front of the x variable. This means that for every x value in the original function, the transformed function will have half the x value.
To see the effect of this transformation, let's compare the graphs of y = sin(x) and y = sin(2x) by plotting some points:
For y = sin(x):
x = 0, y = 0
x = π/2, y = 1
x = π, y = 0
x = 3π/2, y = -1
x = 2π, y = 0
For y = sin(2x):
x = 0, y = 0
x = π/2, y = 0
x = π, y = 0
x = 3π/2, y = 0
x = 2π, y = 0
As you can see, the y-values of the transformed function remain the same as the original function at every x-value, while the x-values of the transformed function are compressed by a factor of 2. This means that the graph of y = sin(2x) appears narrower or more "squeezed" horizontally compared to y = sin(x).
Therefore, the correct statement is: It is compressed horizontally.
Mary has 3 more apples than Ted and 3 times as many apples as Alex. How many apples do all three of them have combined if Mary has 24 apples
Answer:
52
Step-by-step explanation:
24-3=21 21÷3=7 24 + 21 + 7 = 52
2.
1.
Naira
280
400
800
2500
Change each of the given amounts in Naira to the following currencies. Use the exchange
rates given in the previous page.
3750
Pound sterling
Amount in
Us dollars
Cedis
Leones
Franc (CFA)
In each of the following are two equivalent amounts of money. Find the exchange rate
terms of N1. Limit your answer to 2 decimal places.
a. N150 = £18
d. N80 = US$20
b. £52 = N400
e. N9.36 = Le 72
h. N25 = 1 178 frs
A book costs £3. If the rate of exchange is £1 = N8.33, find its cost in Naira
Mr Awolowo wants to send £500 to his brother in the United Kingdom How much
pay in Naira at the post office?
The cost of the book in Naira is N 24.99
Mr. Awolowo needs to pay N 4165 at the post office.
Rate of exchange of currency:An exchange rate determines the value of one unit of currency in relation to another type of money. Which means exchanging the price from one currency to another currency.
People use the exchange rates when they want to travel abroad and It is necessary to convert cash into local currency in order to do purchases locally.
Here we have
The book costs £3. If the rate of exchange is £ 1 = N 8.33
Cost of the book in Naira = 3 × N 8.33
= N 24.99
Mr Awolowo wants to send £500 to his brother in the United Kingdom
As we know the rate of exchange, is £ 1 = N 8.33
=> £500 = 500 × 8.33 = N 4165
Therefore,
The cost of the book in Naira is N 24.99
Mr. Awolowo needs to pay N 4165 at the post office.
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A study of 420,027 cell phone users found that 133 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0414% for those not using cell phones. Complete parts (a) and (b). a. Use the sample data to construct a 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system.
Answer: (0.00027144, 0.00036176)
Step-by-step explanation:
The sample proportion of cell phone users who develop cancer of the brain or nervous system = \(\dfrac{133}{420027}=0.0003166\)
Sample size : 420027
Confidence interval for p: \(\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\), where \(\hat{p}\)= sample proportion , n= sample size , z* = crirical z value.
For 90% confidence interval , z*= 1.645
Required confidence interval:
\(0.0003166\pm (1.645)\sqrt{\dfrac{0.0003166(1-0.0003166)}{420027}}\\\\=0.0003166\pm 0.00004516\\\\=(0.0003166-0.00004516,\ 0.0003166+ 0.00004516)\\\\=(0.00027144, \ 0.00036176)\)
A 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system = (0.00027144, 0.00036176)
Find the equation of a straight line cutting off the y-intercept 4 from the axis of y and inclined to 60° with the positive direction of X-axis.
The linear function is given as follows:
\(y = \sqrt{x} + 4\)
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The y-intercept is of 4, hence the parameter b is given as follows:
b = 4.
The line is inclined to 60° with the positive direction of X-axis, hence the slope m is given as follows:
m = tan(60º)
\(m = \sqrt{3}\)
Thus the function is given as follows:
\(y = \sqrt{x} + 4\)
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if the temperature drops 7f to -17f how much did the temperature decrease
Answer:
The answer is that it decreased 24f.
2 3/4 of 500grams in step by step calculator
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
For which triangle does the Pythagorean Theorem
express the relationship between the lengths of its three
sides?
A
B
C
D
Pythagorean theorem is represented by triangle B.
Which triangle express the relationships according to Pythagorean theorem?
In this question we find four cases of triangle, of which we must determine what triangle can be explained by Pythagorean theorem. This theorem offers a relationship between the three sides of the triangle:
r² = x² + y²
Where:
x, y - Legsr - Hypotenuse.Please notice that hypotenuse is the longest side of the triangle. Graphically speaking, there is a right triangle, that is, a triangle with one right angle. Then, triangle B express the relationship according to Pythagorean theorem.
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Help please! :) I don’t know how to solve this!
Answer:
261
Step-by-step explanation:
→ Substitute 2 into g( x )
( 3 × 2 ) + 10 = 16
→ Substitute that answer into f( x )
16² + 5 = 261
The perimeter of this rectangle is 24cm. If the length is 8 cm, what is the height?
Answer:
4
Step-by-step explanation:
P = s+s+s+s
length = 8
8x2=16
24-16=8
8 / 2 = 4
Answer:
h = 4 cm
Step-by-step explanation:
\(2(l + h) = 24 \\ l + h = \frac{24}{2} \\ l + h = 12 \\ 8 + h = 12 \\ ..(plug \: l = 8) \\ h = 12 - 8 \\ h = 4 \: cm \\ \)
Fraction that less then 5/6 dominater is 8
Answer:
1/8, 2/8, 3/8, 4/8, 5/8, 6/8
Step-by-step explanation:
If i have interpreted correct. You want to know a fraction with a denonminator of 8 that is less than 5/6
5/6=0.8333
Multiple Answers
1/8, 2/8, 3/8, 4/8, 5/8, 6/8
Which of these events is not mutually exclusive?
A) the chance that you will get a heads or tails when you flip a coin once.
B) the chance that you will only study for the test alone or with a friend.
C) the chance that you will meet your friends for pizza or at a chinese restaurant for dinner today at 6.
D) the chance that you will answer the ringing phone or take a walk.
The chance that you will get a heads or tails when you flip a coin once (option A) is not mutually exclusive.
Mutually exclusive events are events that cannot occur at the same time, or that do not have any overlap. In the case of flipping a coin, the possibility of getting a head and the possibility of getting tails are independent of each other, and both can occur simultaneously. Therefore, the chance that you will get heads or tails when you flip a coin once is not mutually exclusive.
On the other hand, the other events listed (B, C, and D) are mutually exclusive. The chance that you will only study for the test alone or with a friend cannot occur simultaneously, as you can either study alone or with a friend, but not both. Similarly, the chance that you will meet your friends for pizza or at a Chinese restaurant for dinner today at 6 cannot occur at the same time, as you can either go to the pizza place or the Chinese restaurant, but not both. And the chance that you will answer the ringing phone or take a walk cannot occur simultaneously, as you can either answer the phone or take a walk, but not both.
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The chance that you will get a heads or tails when you flip a coin once (option A) is not mutually exclusive.
this question is related to probability.
mutually exclusive
Mutually exclusive events are those events that do not occur at the same time.
For example, when a coin is tossed then the result will be either head or tail, but we cannot get both the results. Such events are also called disjoint events since they do not happen simultaneously.
probability
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
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Solve for the value of w.
(4w-8)°
(3w+6)°
Answer: To find the value of w, we need to set the expressions equal to each other:
(4w-8) = (3w+6)
Subtracting 3w from both sides:
w - 8 = 6
Adding 8 to both sides:
w = 14
So the value of w is 14.
Step-by-step explanation:
What are the solutions to the equation (x2-21)2=25?
The solutions to the equation (x² - 21)² = 25 are x = 4, x = -4, x = √26, and x = -√26.
How to determine the vertex form of a quadratic equation?In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:
f(x) = a(x - h)² + k
Where:
h and k represents the vertex of the graph.a represents the leading coefficient.Based on the information provided about this equation, we can determine the solutions as follows:
(x² - 21)² = 25
By taking the square root of both sides of the equation, we have the following:
√(x² - 21)² = √25
x² - 21 = 5
x² = ±5 + 21
x = ±√26
x = ±√16 = 4
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Complete Question:
What are the solutions to the equation (x² - 21)² = 25?
Leslie placed this ad in Collector Car Monthly. 1957 Chevrolet Nomad station wagon. Tropical Turquoise, 6 cyl. auto, PS, PW, AM/FM, repainted, rebuilt transmission, restored two-tone interior. Mint! Moving, sacrifice, $52,900. 555-4231
Complete Question:
Leslie placed this ad in Collector Car Monthly.
1957 Chevrolet Nomad station wagon. Tropical
Turquoise, 6 cyl. auto, PS, PW, AM/FM, repainted,
rebuilt transmission, restored two-tone interior.
Mint! Moving, sacrifice, $52,900. 555-4231
(a) If the publication charges $48 for the first three lines and $5 for each extra line, how much will this ad cost Leslie?
(b) b. Ruth buys the car for 8% less than the advertised price. How much does she pay?
(c) Ruth must pay her state 6% sales tax on the sale. How much must she pay in sales tax?
Answer:
\(Total = \$53\)
\(Ruth = \$48668\)
\(Sales\ Tax = \$2920.08\)
Step-by-step explanation:
Given
\(Ad = 4\ lines\)
\(Charges: \$48\) --- First 3 lines
\(Additional: \$5\) -- Extra lines
Solving (a) : Determine the total charge
The ad has 4 lines. This means that 3 of the 4 lines will be charged at $48 (in total) while the extra line will be charged at $5 per line
So, the total charge is calculated as:
\(Total = 3\ lines + 1\ line\)
\(Total = \$48 + 1 * \$5\)
\(Total = \$48 + \$5\)
\(Total = \$53\)
Solving (b): How much does Ruth pay?
From the ads, the price of the car is:
\(Price = \$52,900\)
And Ruth pays 8% less.
This means that she pays 92% (i.e. 100% - 8% = 92%)
So, the calculation is:
\(Ruth = 92\% * Price\)
\(Ruth = 92\% * \$52900\)
\(Ruth = \$48668\)
Solving (c): The sales tax
\(Sales\ Tax = Sales\ Tax\% * Amount\ Paid\)
\(Sales\ Tax = 6\% * \$48668\)
\(Sales\ Tax = \$2920.08\)
Between what two integers does the square root of 14 lie?
Answer:
3 and 4
Step-by-step explanation:
how many ft is equal to 1.66m
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.
The function f is defined on the real numbers by f(x) = 2 + x − x2
What is the value of f(-3)?
Question 7 options:
A. 14
B. 8
C. -10
D. -4
Answer:
C
Step-by-step explanation:
f(x) = 2 + x - x²
to obtain f(- 3) substitute x = - 3 into f(x)
f(- 3) = 2 + (- 3) - (- 3)²
= 2 - 3 - 9
= - 10
Answer:
Substituting -3 in the expression for f(x), we get:
f(-3) = 2 + (-3) - (-3)^2 = 2 - 3 - 9 = -10
Step-by-step explanation:
Therefore, the value of f(-3) is -10.
Option C is the correct answer.
squares rectangles and rhombl are types of trapezoids true or false
Answer:
false
Step-by-step explanation:
Which is in slope intercept form? Any fractions must be in simplest form.
A. 4y = -6x + 8
B. y = -6/4x+8/4
C. y = -3/2x+2
D. 6x + 4y = 8
Answer:
B and C are both in slope-intercept-form.
Step-by-step explanation:
Slope Intercept Form is --> y = mx + b, where m is the slope, and b is the y-intercept.
Both B and C have a slope (-6/4 for B, -3/2 for C) and both have a y-intercept (8/4 or 2).
I hope this helps. Please mark me brainliest!