A function has the rule y = -2x + 11. Which of the following ordered pairs represents an input of 4 and its output?
(4, 3.5)
(4, 3)
(3, 4)
(3.5, 4)
See pic attached ... Urgent
Answer:
3) y = -1 + (1/2)x
This is a linear function.
4) y = 1.7(4^x)
This is an exponential function.
What is the volume of a right circular cylinder with a diameter at 46.25 cm and a height of 18.5 m?
Answer:
Volume of right circular cylinder(V) is given by:
[tex]V = \pi r^2h[/tex] ......[1]
where,
r is the radius of the cylinder
h is the height of the cylinder.
As per the statement:
A right circular cylinder with a diameter at 46.25 cm and a height of 18.5 m
⇒diameter(d) = 46.25 cm and height(h) = 18.5 cm
We know that:
diameter(d) = 2r
then;
[tex]46.25 = 2r[/tex]
Divide both sides by 2 we have;
[tex]23.125 = r[/tex]
or
r = 23.125 cm
Substitute these given values in [1] we have;
Use [tex]\pi = 3.14[/tex]
[tex]V = 3.14 \cdot (23.125)^2 \cdot 18.5[/tex]
⇒[tex]V = 31,064.5351 cm^3[/tex]
Therefore, the volume of a right circular cylinder to the nearest hundredth is, 31,064.54 cubic centimeters.
20 increased by twice jennys savings
Match the two numbers with their least common multiple (LCM). Match Term Definition 10 and 4 A) 40 10 and 6 B) 30 10 and 8 C) 20
What’s bigger? 0.125 or 1/8?
Answer these for 22 points
Write a problem that can be solved by comparing feet and inches using a model.Include a solution.Explain why you are changing from a larger unit to a smaller unit . ASAP
The length of a rectangle is 4 times its width. The area of the rectangle is 144 square inches. Find the dimensions of the rectangle
The width is 6 inches and the length is 24 inches.
To find the dimensions of the rectangle when given the area and the relationship between length and width, we will use algebra. Let the width be w inches. The length is 4 times the width, so the length is 4w inches. The area of the rectangle is w times the length (4w), which gives us w * 4w = 144 square inches. Simplifying, this equation becomes 4w^2 = 144 inches2. To find w, we divide both sides by 4, getting w^2 = 36. Taking the square root of 36 gives us w = 6 inches. Since the length is four times the width, the length is 24 inches. Therefore, the dimensions of the rectangle are 6 inches by 24 inches.
What are the dimensions of the rectangle shown below? Remember to use the axes on the coordinate grid to help you. 6 units × 4 units 8 units × 6 units 12 units × 8 units 18 units × 12 units
Answer:
6 units
Step-by-step explanation:
The first step to solve the equation x/4 - 3/4 = 16 is shown below?
x/4 - 3/4 + 3/4 = 16 + 3/4
A.Addition Property of Equality
B.Subtraction Property of Equality
C.Multiplication Property of Equality
D.Division Property of Equality
Answer:
The first step to solve the equation Addition Property of Equality.
Step-by-step explanation:
Given the equation
[tex]\frac{x}{4}-\frac{3}{4}=16[/tex]
we have to find the first step to solve the above equation.
To solve the above equation we have to combine the like terms here we have to combine the constant terms.
[tex]\frac{x}{4}-\frac{3}{4}=16[/tex]
[tex]\text{Therefore, to solve the equation we have to add }\frac{3}{4}\text{ on both sides}[/tex]
[tex]\frac{x}{4}-\frac{3}{4}+\frac{3}{4}=16+\frac{3}{4}[/tex]
[tex]\frac{x}{4}=\frac{67}{4}[/tex]
[tex]x=67[/tex]
Hence, the first step to solve the equation is the
Addition Property of Equality
Graph the line with slope -2/3 passing through the point (2,1)
To graph a line with a given slope passing through a point, use the point-slope form of a linear equation. Convert the equation to slope-intercept form, [tex]y = mx+b[/tex]. Plot the line on a graph using the y-intercept and the slope to find additional points.
Explanation:To graph a line with a given slope and passing through a point, we can use the point-slope form of a linear equation, y - y1 = m(x - x1). In this case, the point-slope form would be y - 1 = (-2/3)(x - 2). We can simplify this equation into slope-intercept form, y = mx + b, by distributing the slope and rearranging the terms. After simplifying, the equation becomes y = (-2/3)x + 7/3. Finally, we can plot the line on a graph using the slope-intercept form equation by identifying the y-intercept at (0, 7/3) and using the slope to find additional points on the line.
Learn more about Graphing a line with slope and point here:https://brainly.com/question/24239298
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In a geometric sequence, a7=14 and r= -1/2. What is the 10th term of the sequence?
• -3.50
• -1.75
• 1.75
• 3.50
1) a yes 2
2) c 405
3) b an=-4 (-2) -64
4) a triangle 4
5) b -1.75
write the principal square root of the integers between 320 325. Which of these is a rational?
carl wants to buy a television that costs $500, including taxes. To pay for the television, he will use a payment plan that requires him to make a down payment of $125, and then pay $72.50 each month for 6 months. What is the percent increase from the original costs of the television to cost of the television using the payment plan?
Answer:
($560-$500) / $500 * 100%= 12%
Step-by-step explanation:
Hope it helps
The top of the Washington Monument is a triangular pyramid with a triangle base. Each triangular face is 58 feet tall and 34 feet wide and covered with white marble. About how many square feet of marble cover the faces of the pyramid?
Answer:
[tex]3,944ft^{2}[/tex] of marble is needed.
Step-by-step explanation:
The picture below represents the top of the Washington Monument, with 4 triangles, one on the base and the other 3 forming the monument.
First of all whe have to find the area of one pyramid:
[tex]A=\frac{height*width}{2}[/tex]
Replacing the values, we have:
[tex]A=\frac{58ft*34ft}{2}[/tex]
[tex]A=986ft^{2}[/tex]
As we have 4 triangles forming the top of the Monument, we have to multiply by 4 to find the quantity of marble to use:
Quantity of marble=Area of each triangle * quantity of triangles
Quantity of marble=[tex]986ft^{2}*4[/tex]
Quantity of marble=[tex]3,944ft^{2}[/tex]
To find the area of marble covering the Washington Monument's pyramid faces, calculate the area of one triangular face (985 square feet) and then multiply by 3, resulting in approximately 2955 square feet.
The Washington Monument's pyramid at the top has triangular faces that are covered with white marble. Each face is 58 feet tall and 34 feet wide. To find the total area covered by marble, we need to calculate the area of one triangular face and then multiply by the number of faces.
Calculate the area of one triangular face using the formula for the area of a triangle: Area = 1/2 * base * height.Substitute the given measurements: Area = 1/2 * 34 feet * 58 feet = 985 square feet.Each triangular pyramid has three faces. So, multiply the area of one face by 3: Total Area = 3 * 985 square feet = 2955 square feet.Therefore, approximately 2955 square feet of marble cover the faces of the pyramid.
What expression is equivalent to the expression given below?
3/8 - 1/2y-5/6
:) 20 p0ints
Answer:
[tex]-\frac{1}{2}y-\frac{11}{24}[/tex]
Step-by-step explanation:
[tex]\frac{3}{8}\:-\:\frac{1}{2}y-\frac{5}{6}\\\\ =-\frac{1}{2}y+\frac{3}{8}-\frac{5}{6}\\\\ =-\frac{1}{2}y-\frac{11}{24}[/tex]
Hello!
Your answer is -1/2y - 11/24
The rent for an office space is $674.30 per month. The office is 306 1/2 square feet in area.What is the monthly cost per square foot to rent the office
A:$22.48
B:$2:20
C:$0.46
D:$0.22
jocelyn estimates that a piece of wood measures 5.5 cm. If it actually measures 5.62 cm, what is the percent error of Jocelyn’s estimate?
nelly bought a computer for $400. it was on sale for 20%. what was the original price?
Which counterexample shows that the conjecture "All animals that can fly are birds" is false?
nicole has a board that is 88 in. long. She nees to cut it to fit a space 80 3/8 in. long. how much should she cut off the board
The line plot shows the weight gain, in pounds, of several dogs seen on Monday by a veterinarian at the animal clinic. A number line with one x above .5, one x above 1.5, one x above 2, one x above 3, two xs above 3.5, two xs above 4, one x above 4.5, and one x above 8.5. How many dogs gained fewer than 3 lb? Enter your answer in the box.
Answer:
3 x's
Step-by-step explanation:
Vincent uses 2 cups of flour for every 12 muffin that he makes. What is the total number of cups of flour Vincent will use to make 4 muffins.
Answer:
[tex]\frac{2}{3}\ cups\ of\ flour[/tex]
Step-by-step explanation:
we know that
Vincent uses 2 cups of flour for every 12 muffin that he make
so
Using proportion
Find out what is the total number of cups of flour Vincent will use to make 4 muffins
Let
x -----> the total number of cups of flour
[tex]\frac{2}{12}\frac{cups\ of\ flour}{muffins}=\frac{x}{4}\frac{cups\ of\ flour}{muffins}\\\\x=2*4/12\\\\x=\frac{2}{3}\ cups\ of\ flour[/tex]
The johnson twins were born twelve years after their older sister.This year,the product of the three siblings' ages is exactly 1244 more than the sum of their ages.How old are the twins?
Jessica rented 1 video game and 3 movies for a total of $11.50. . The video game cost $4.75 to rent. . The movies cost the same amount each to rent. What amount did Jessica pay to rent each movie?
The following data show the weight, in ounces, of 10 different bags of candy:
10 3 7 3 4 21 6 10 1 2 4
After removing the outlier, what does the mean absolute deviation of this data set represent?
A. On average, the weight of a bag of candy varies 3.2 ounces from the mean of 4 ounces.
B. On average, the weight of a bag of candy varies 2.6 ounces from the mean of 5 ounces.
C.On average, the weight of a bag of candy varies 3.2 ounces from the mean of 5 ounces.
D.On average, the weight of a bag of candy varies 2.6 ounces from the mean of 4 ounces.
PLZ HELP ME NEEDDDDDDDD HELP PLZZZZZZZZZ!!!!!!!!!!!! I DON'T GET IT! HELPPPPP
A package of hot dogs cost $2 and a package of hamburger cost $8. You bought a total of 11 packages of meat and you spent $52. How many packages of hotdogs did you buy? Use a system to solve. 6 packages 4 packages 7 packages 5 packages
Rectangle ABCD is congruent to rectangle A"B"C"D" .
Which sequence of transformations could have been used to transform rectangle ABCD to produce rectangle A"B"C"D" ?
A) Rectangle ABCD was reflected across the y-axis and then across the x-axis.
B) Rectangle ABCD was translated 8 units left and then 7 units down.
C) Rectangle ABCD was rotated 180° around the origin and then translated 7 units down.
D) Rectangle ABCD was translated 2 units left and then 3 units down.
Answer:
B
Step-by-step explanation:
May anyone HELP ME please