The two true statements are the second statement (both lines contain the point (0,0)) and the fourth statement (If the Wilson family buys 3 pizzas, they will get more slices than the Hernandez family).
Which is the correct statement?
First, we know that the Hernandez family orders 3 large pizzas, such that they cut each pizza in the same number of slices, getting a total of 24 slices.
Then the number of slices that they get for each pizza is:
24/3 = 8
So from each large pizza, they get 8 slices.
So the relation between the number of pizzas bought (x) and the number of slices (y) is:
y = 8*x
In the other hand for the Wilson family we have the relation:
y = 10*x
Where y and x are the same ones as the defined above.
Then the true statements are:
"If the Wilson family ordered 3 large pizzas from the same restaurant as the Hernandez family, they would have more slices than the Hernandez family after each family cut their pizzas into slices."
This is true because Wilson family cuts each pizza in 10 slices, while the Hernandez family cuts each pizza in 8 slices.
"For each family, a graph of the relationship between number of pizzas, x, and number of slices, y, goes through the point (0, 0) and is a straight line."
The point (0, 0) means that if they buy 0 pizzas, they get 0 slices, which is true, so both relations contain this point.
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The area of a rectangle is 44 square units. Its length measures 4 units. Find the length of its diagonal. Round to the nearest tenth of a unit.
Answer:
√(137)
Step-by-step explanation:
First, you will need to find the other side length.....then you can use the Pythagorean Theorem to find the diagonal:
L x W = 44
4 x W = 44
W =11
Now the Pythag, Theorem:
diagonal^2 = 4^2 + 11^2
d^2 = 16+121
d^2 = 137
d = √(137)
Answer:
about 11.7 units (Pls mark me as brainy)
Step-by-step explanation:
Find the width:
length⋅width= area
4w=44 Plug in known values.
4w/4=44/4 Divide both sides by 4
w=11
Find the diagonal:
(4)^2+(11)^2= c^2 Use the Pythagorean Theorem.
16+121= c^2 Simplify.
137=c^2 Simplify.
±√137= √c^2 Square root both sides.
11.704699...= c Simplify. Ignore the negative root, as the length must be positive.
11.7≈ c Round to the nearest tenth.
The length of the diagonal is 11.7 units.
A spherical balloon is inflated with gas at the rate of 500 cubic centimeters per minute. How fast is the radius of the balloon increasing at the instant the radius is 70 centimeters
Using implicit differentiation, it is found that the radius is increasing at a rate of 0.0081 cm per minute.
What is the volume of a sphere?The volume of a sphere of radius r is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
Applying implicit differentiation, the rate of change is given by:
[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]
In this problem, we have that:
[tex]\frac{dV}{dt} = 500, r = 70[/tex]
Hence the rate of change of the radius is given as follows:
[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]
[tex]19600\pi\frac{dr}{dt} = 500[/tex]
[tex]\frac{dr}{dt} = \frac{500}{19600\pi}[/tex]
[tex]\frac{dr}{dt} = 0.0081[/tex]
The radius is increasing at a rate of 0.0081 cm per minute.
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Natalie wants to use a sheet of fiberboard 30 inches long to create a skateboard ramp with a 28 angle of elevation from the ground
Answer:
You should raise one side 14 inches
Step-by-step explanation:
I used a right angle triangle calculater at this sight
https://www.calculator.net/right-triangle-calculator.html
State the various transformations applied to the base function f(x)=|x| to obtain a graph of the function g(x) = |x| − 2.
Horizontal shift of 1 unit to the right and a vertical shift upward of 2 units.
Horizontal shift of 1 unit to the right and a vertical shift downward of 2 units.
Horizontal shift of 1 unit to the left and a vertical shift downward of 2 units.
Horizontal shift of 1 unit to the left and a vertical shift upward of 2 units.
Horizontal shift of 1 unit to the left and a vertical shift downward of 2 units.
Transformation of functionTransformation technique is a way of changing the position of an object on an xy-plane.
Given the parent function of a modulus function f(x) = |x|, the graph of the function g(x) = |x| - 2 shows a vertical translation of the parent function down by 2 units.
The resulting graph of the translated function is as shown below
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Please only 5 and 6 that all i need help with is area
Answer:
5) 22.95
6) 21.93
Step-by-step explanation:
Area of Triangle = BxH/2
= CxH/2
A biologist started with a population of 1,000 bacteria that doubled in size every day.
Which equation and graph show the number of days, d, as a function of the population
p, in thousands?
Answer: C. [tex]p = 2^{d}[/tex]
Step-by-step explanation:
The population rises exponentially, so the graph will have to go up. It also means the population is doubled directly in relation to days
through: (-3, 4), slope
1
4
Answer:
y = (-1/4)x + (13/4)
Step-by-step explanation:
The general structure of an equation in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept.
Remember that in a point (-3,4) you have an "x" and "y" value. As such, you have been given values for the "x", "y", and "m" variables. Therefore, you can plug these values into the general structure to find the value of "b".
y = mx + b <---- General structure
y = (-1/4)x + b <---- Plug (-1/4) in "m"
4 = (-1/4)(-3) + b <---- Plug in values from point
4 = (13/4) + b <---- Multiply (-1/4) and -3
(13/4) = b <---- Subtract (13/4) from both sides
Now that you know the value of "m" and "b", you can determine the formula.
y = (-1/4)x + (13/4)
Help
if g(x)=x+1 and h(x)=4-x, what is the value of (gh)(-3)
---------
x-2
Answer: 8/5
Step-by-step explanation:
[tex](g \circ h)(-3)[/tex] is the same as g(h(-3)).
[tex]h(-3)=4-(-3)=7\\g(h(-3))=g(7)=\frac{7+1}{7-2}=\boxed{\frac{8}{5}}[/tex]
What should be done so that the expression will have a value of 10?
12 - 2 + 2 2 ÷ 8
Khamisi and Harut wrote down two different functions that have the same rate of change. Khamisi's function is represented by the table shown below. x y -1 -5 1 -1 3 3 Write an equation, in slope intercept form, that could be Harut's function.
The equation of line is x+2y+3=0.
What is a equation of the line?The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term. It is an equation of degree one, with variables x and y.
Given:
x:-1 -5 1
y:-1 3 3
So,
m= 3-1/-5-(-1)
m= 2/-4
m=-1/2
Now, equation of line
(y-(-1))= m (x-(-1))
y+1= -1/2(x+1)
2y+2=-x-1
x+2y+3=0
Hence, the equation of line is x+2y+3=0.
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here is the histogram of a data distribution. All class widths are 1.
what is the median of the distribution?
The median of the data is 5 if the all class widths are 1, option (C) is correct.
What is the median?A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.
In the histogram, 15 data values are given:
1, 2, 2, 3, 3, 3, 4, 5, 6, 6, 7, 7, 7, 8, 9
The mid-value is 5 which is on the 8th place
Thus, the median of the data is 5 if the all class widths are 1, option (C) is correct.
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The formula for converting C to F is C =
5(F-32)
9
where F is the temperature in °F and C is the temperature in °C.
Find F when C= 28°.
Answer:
f=82.4
Step-by-step explanation:
f=9c/5+32
f=9x28/5+32
f=252/5+32
f=50.4+32
f=82.4
can anyone help? Need expert advice
Answer:
C (3,6)
Step-by-step explanation:
So the zeroes are the points that the loop goes through on the x-axis
so three and six
f(x) = 3 and g(x) = x – 2
3 = x – 2
5 = x
Answer:
The question is incomplete
Step-by-step explanation:
Because the question not tells that what is to be find .
1. Using the above
scatterplot, does there
seem to be a positive
correlation, a negative
or no
correlation,
correlation between
the number of
customers and sales?
Answer:
yes there is a correlation
Step-by-step explanation:
here's how I found this by looking up all key words.
Convert 650 ml into litres
Answer:
.65 litres
Step-by-step explanation:
Help me calculate
I think it's 35, is that right?
The value of the [tex]\rm 6x^5y^3[/tex] is 35 if the value of [tex]\rm 2x^2y = 5[/tex] and [tex]\rm 3x^3y^2 = 7[/tex]
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have:
[tex]\rm 2x^2y = 5\\\\\rm 3x^3y^2 = 7[/tex]
We have to find the value of [tex]\rm 6x^5y^3[/tex]
[tex]=\rm 6x^5y^3\\\\= \rm 6(x^2y)(x^3)(y^2)[/tex]
=6(5/2)(7/3)
= (5)(7)
= 35
Thus, the value of the [tex]\rm 6x^5y^3[/tex] is 35 if the value of [tex]\rm 2x^2y = 5[/tex] and [tex]\rm 3x^3y^2 = 7[/tex]
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help me plss ty in advance:))
Answer:
AACBC7Step-by-step explanation:
Q1
A graph which uses horizontal or vertical bars with no gaps to represent data is called bar graph.
Q2
Data plotted against the frequency in a histogram is class interval.
Q3
The data plotted against the frequency in an ogive is cumulative frequency.
Q4
A score of 50 under the column > c.f. with the boundaries 23.5 - 28.5 means 50 students got a score greater than 23.5.
Q5
Mean = 2(2) + 3 + 4 + 7(3) + 10 + 11 + 2(12) / 11
Mean = 4 + 7 + 21 + 21 + 24 / 11
Mean = 77/11
The mean is 7
Q6
The median is the middle term.
The median of the distribution is 7
find the length and width of a rectangle whose
Length is 5cm longer than it’s width
Whose area is 50cm
Step-by-step explanation:
width= x (let)
length= x+5
Area=50 cm
Now ,
area = l ×b
50 = (X×X+5)
50 = (2X + 5)
50÷ 2= X+5
25 -5 = X
X=20
LENGTH = X+5
20+5
=25
Please i really need help!
Answer:
21.25=4.25
Ms. Diaz buys 5 pounds of strawberrys
Step-by-step explanation:
Submit the answers to the checkpoint questions in the text box with the Lesson Review.
Part A Checkpoint
Directions: Complete each of the following questions.
(PICTURE FOR THE FIRST QUESTION)
1. Indicate the kind of energy represented in each example below:
a. Burning fuel in a car
b. Exploding an atomic bomb
c. Current moving in a wire
d. Tires sliding on pavement when brakes are applied
e. Football player running for a touchdown
2. All forms of energy except nuclear fission come from the _________.
3. Energy is ______________.
its that one dudee!!!!!
Look at the corners of the shape below. Which of the following points is located at one of the corners?
Answer: Coordinate (1,6)
Step-by-step explanation: Because it is located on one of the corners already if you count the spaces! I hope this helped!! :D
Answer:
the person above me is right its (1,6) its the only one thats located on a corner
Step-by-step explanation:
HUGE POINTS
PLEASE ANSWER
BE INFORMATIVE AS POSSIBLE
Question:
A parallelogram fencing area is to be constructed for a general swimming pool area. The total perimeter of the parallelogram fence is 220m. If one of the lengths is 50m, determine the dimension of the other length and draw it out.
If you want more information let me know
Answer:
The other length is 60m.
Step-by-step explanation:
If you look at the shape of a parallelogram, you will see that a parallelogram has two parallel sides. So, if the total perimeter is 220m, then 50m and 50m together would be 100m, so 220- 100= 120m left to fill in both sides left. so, 120÷2= 60m. 60m is the other length.
A 6-inch personal pizza has 570 calories. Determine the number of calories in the 14-inch pizza. Round your answer to the nearest calorie.
Answer:
3103 calories
Step-by-step explanation:
We presume the number of calories is proportional to the area of the pizza. The ratio of areas is the square of the ratio of the linear dimensions, so the number calories in the larger pizza is ...
(14/6)² × 570 calories = 3103 1/3 calories
There are about 3103 calories in the 14-inch pizza.
Simplify −45(30x−40)+(42x+4) . Write your answer in factored form.
solution
-4(327x-451)
Give the prime factorization of 28.
11.3 9 9 9 7.8 surface area of triangular prism
Answer:
Total area = 187.65 cm^2
Step-by-step explanation:
AREA of a triangle = 1/2 base * height
THREE sides 3 * 1/2 *9 * 11.3 = 152.55 cm^2
Bottom 1/2 * 9 * 7.8 = 35.1 cm^2
total = 187.65 cm^2
Find the volume of cone pictured below. Use 3.14
for T. Round your answer to the nearest
hundredth.
8 yd
8 yd
Please help me 35 points and Brainliest if your right
Answer:
y = - 2 | x - 2 | + 4
Step-by-step explanation:
the general equation of an absolute value function is
y = a|x - h| + k
where (h, k ) are the coordinates of the vertex and a is the stretch factor
here (h, k ) = (2, 4 ) , then
y = - 2|x - 2| + 4
Answer:
See below ~
Step-by-step explanation:
Formula for absolute value function :
y = a |x - h| + k
==============================================================
Given :
⇒ a = -2
⇒ Vertex = (h, k) = (2, 4) [based on graph]
=============================================================
Solving by substitution :
⇒ y = -2|x - 2| + 4
the sum of two consecutive integers is 65. what are the two integers? show steps please.
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find the two integers, given that they are consecutive, and their sum is 65.
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Consecutive integers are right next to each other, like 12 and 13. or 65 and 66.Let the first integer be x, and let the second integer be x+1.
Their sum is 65. Let's set up our equation:
[tex]\longmapsto\sf{x+x+1=65}[/tex]
Combine like terms:
[tex]\longmapsto\sf{2x+1=65}[/tex]
Subtract 1 from both sides of the equal sign:
[tex]\longmapsto\sf{2x=64}[/tex]
Divide both sides by 2:
[tex]\longmapsto\sf{x=32}[/tex]
To find the second integer, subtract the first integer from the sum of the two integers:
[tex]\longmapsto\pmb{65-32}[/tex]
[tex]\longmapsto\pmb{33}[/tex]
The integers are: 33 and 32.
Hope it helps you out! :D
Ask in comments if any queries arise.
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