Answer:
C. An athlete drinks 3.85 L per day when the temperature is 80°F
Step-by-step explanation:
Y-intercept of a linear model, equation or a straight line refers the point at which a line crosses the y-axis of a graph. It generally indicates a point on the graph where x equals 0.
For the equation y = 3.85 + 0.55x
At y-intercept, x = 0. Substitute x into the equation, we have:
y = 3.85 + 0.55 (0)
y = 3.85 + 0
y = 3.85
This implies that the value of fluid drank by an athlete at the starting temperature of 80°F (at x=0) is 3.85 L per day
PLEASE HELP ME!!!!!!!!!!! FAST PLEASE ITS URGENT!!!!!!!! WILL GIV BRAINLIEST!!!
The golf scores for the 32 members of the Belmont Country Club were 108, 89, 74, 115, 92, 86, 103, 107, 94, 89, 111, 78, 116, 82, 99, 107, 74, 78, 101, 93, 85, 98, 109, 82, 83, 105, 91, 106, 97, 84, 92, 96. Which histogram correctly shows the frequency distribution of the scores using ten-point intervals?
Histogram options for golf scores: (a) 3,9,8,9,2; (b) 5,7,10,7,4; (c) 4,8,9,8,3; (d) 5,8,9,8,5. Correct choice (d) accurately represents the frequency distribution of scores in ten-point intervals.
To create a histogram with ten-point intervals for the given golf scores, we need to organize the scores into ranges and determine the frequency of scores within each range. Let's examine each option:
a. 70-80: 3 scores, 80-90: 9 scores, 90-100: 8 scores, 100-110: 9 scores, 110-120: 2 scores.
b. 70-80: 5 scores, 80-90: 7 scores, 90-100: 10 scores, 100-110: 7 scores, 110-120: 4 scores.
c. 70-80: 4 scores, 80-90: 8 scores, 90-100: 9 scores, 100-110: 8 scores, 110-120: 3 scores.
d. 70-80: 5 scores, 80-90: 8 scores, 90-100: 9 scores, 100-110: 8 scores, 110-120: 5 scores.
The correct histogram is option (d) with scores in the 70-80, 80-90, 90-100, 100-110, and 110-120 ranges having frequencies of 5, 8, 9, 8, and 5, respectively. This accurately represents the distribution of golf scores in ten-point intervals among the members of the Belmont Country Club.
What are the measures of two complementary angles if the difference in their measures is 18?
for every pound a company spends on advertising it spends £0.64 on its websites. express the amount spent on advertising to the amount on its website it's website as a ratio it's in its simplest form
Solution:
we are given that
For every pound a company spends on advertising it spends £0.64 on its websites.
we have been asked to express the amount spent on advertising to the amount on its website it's website as a ratio it's in its simplest form.
We can find the required ratio as below
[tex]Ratio=\frac{1}{0.64} \\ \\ Ratio=\frac{100}{64} \\ \\ Ratio=\frac{25}{16} \\[/tex]
Hence the required ratio is 25:16.
shannon uses 30 inches of ribbon to make one bow.how many feet are needed to make 10 bows?
graphing system y=2x-2 2y=4x- 4
Answer:
These two equations describe the same line.
___
In the graph here, the graph of one equation is shown as a dotted line, not be cause those are the only points on the graph, but because I wanted you to see the other equation describes exactly the same line.
Simplify the expression. 6k – 1 + 6k
According to the Transitive Property of Congruence: If CD≅EF and EF≅GH, then _____
A. CD≅EF
B. EF≅EF
C. CD≅GH
D. EF≅GH
If you're reading this the answer is C
Answer:
The answer is the option C
CD≅GH
Step-by-step explanation:
we know that
The Transitive Property of Congruence states that
If [tex]a=b[/tex] and [tex]b=c[/tex]
then
[tex]a=c[/tex]
In this problem we have
CD≅EF and EF≅GH
therefore
CD≅GH -------> by Transitive Property of Congruence
140 fluid ounces increased by 45%
Help me with this one question and think closely it is not 8 or 800 question 36
Round 3,942,588 to the nearest thousand.
Principle = $15,500 Interest Rate = 8.75% Time = ? Years Simple Interest = $5425.00
Solve for the Time in Years
A triangle has a side lengths of (5.5x + 6.2y) centimeters, (4.3x+8.3z) centimeters and (1.6z -5.1y) cenrimeters which expression represents the perimeter,in centimeters of the triangle
Answer:
Perimeter of given triangle is ( 9.8x + 1.1y + 9.9z ) centimeters.
Step-by-step explanation:
Given : A triangle has a side lengths of (5.5x + 6.2y) centimeters, (4.3x+8.3z) centimeters and (1.6z -5.1y) centimeters
We have to find the expression that represents the perimeter (in centimeters)
of the triangle.
Perimeter of a figure is defined as the sum of all the sides.
Since given figure is triangle so perimeter of triangle is the sum of all the sides.
Given side lengths are
(5.5x + 6.2y) , (4.3x + 8.3z) and (1.6z -5.1y)
Thus, perimeter = (5.5x + 6.2y) + (4.3x + 8.3z) + (1.6z - 5.1y)
Perimeter = 5.5x + 6.2y + 4.3x + 8.3z + 1.6z - 5.1y
LIKE TERMS are term with same variables.
Rearrange, we get
Perimeter = 5.5x + 4.3x + 6.2y - 5.1y + 8.3z + 1.6z
Adding like terms, we get,
Perimeter = (5.5 + 4.3)x + (6.2 - 5.1)y + (8.3 + 1.6)z
Perimeter = (9.8)x + (1.1)y + (9.9)z
Thus, Perimeter of given triangle is 9.8x + 1.1y + 9.9z centimeters.
31000 people attended a ballgames at a stadium that offers two kinds of seats; The day's receipts were $200000. How many people paid $14.00 for reserved seats, and how many paid$5.00 for general admission?
To solve this problem, we can use a system of equations to find the number of people who paid $14 for reserved seats and the number of people who paid $5 for general admission.
Explanation:To solve this problem, we can use a system of equations. Let's say the number of people who paid $14 for reserved seats is 'x', and the number of people who paid $5 for general admission is 'y'.
We know that the total number of people who attended the ballgame is 31,000, so we can write the equation:
x + y = 31,000
We also know that the total receipts from the day were $200,000, so we can write another equation:
14x + 5y = 200,000
Now we can solve this system of equations to find the values of 'x' and 'y'.
Multiplying the first equation by 5, we can eliminate 'y' by subtracting the second equation from it:
5x + 5y = 155,000
-(14x + 5y = 200,000)
Simplifying, we get:
-9x = -45,000
Dividing both sides of the equation by -9, we find that 'x' = 5,000.
Substituting this value back into the first equation, we can solve for 'y':
5,000 + y = 31,000
Simplifying, we get 'y' = 26,000.
Therefore, 5,000 people paid $14 for reserved seats and 26,000 people paid $5 for general admission.
9. 10. 11. And need work or won’t get credit
Answer:
9) 22 - 5(6v - 1) = -63
22 - 30v + 5 = -63
27 - 30v = -63
-30v = -90
v = 3
10) 18x - (8x - 7) = 67
18x - 8x + 7 = 67
10x = 60
x = 7
11) 8(-2x - 4) + 12 = -52
8(-2x - 4) = -64
-2x - 4 = -8
-2x = -4
x = 2
simplify the expression
(3x^4y^-5)3
To simplify the expression (3x^4y^-5)^3, apply the power rule to each term, calculate the result, and combine them. The simplified form is 27x^12y^-15.
How to Simplify the Expression (3x^4y^-5)^3:
Let's simplify the given expression step by step:
Apply the power rule of exponents to the entire expression. This means raising each term inside the parentheses to the given power:(a^m * b^n)^p = a^(m*p) * b^(n*p)
So, (3x^4y^-5)^3 becomes:
(3^3) * (x^(4*3)) * (y^(-5*3))
Calculate each term separately:3^3 = 27x^(4*3) = x^12y^(-5*3) = y^-15Putting it all together, we get:
27x^12y^-15
Simplified Form:In conclusion, the simplified form of (3x^4y^-5)^3 is 27x^12.y^-15.
A small plant is 212 inches tall. How tall will it be in 3 weeks if it grows 34 inch each week? Which method will NOT give the correct number of inches?
Answer:
Multiply [tex]2\frac{1}{2}[/tex] by [tex]3[/tex] and then add [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
we know that
using proportion
[tex]\frac{(3/4)}{1}\frac{in}{week}=\frac{x}{3}\frac{in}{weeks} \\ \\x=3*(3/4)\\ \\x=9/4\ in[/tex]
Find the height of the plant in [tex]3[/tex] weeks
[tex]2\frac{1}{2} +\frac{9}{4}=\frac{5}{2} +\frac{9}{4}\\ \\=\frac{19}{4}\ in[/tex]
therefore
The incorrect method is
Multiply [tex]2\frac{1}{2}[/tex] by [tex]3[/tex] and then add [tex]\frac{3}{4}[/tex]
because
[tex]2\frac{1}{2}*3+\frac{3}{4}=\frac{15}{2}+\frac{3}{4}\\ \\=\frac{33}{4}\ in[/tex]
A ________ is a monomial or the sum or difference of two or more monomials. Base, polynomial, linear term,quadratic equation
A business owner purchases supplies for a laundromat and a car wash.
Part A
The owner purchases 6 cases of laundry soap, 8 cases of fabric softener, and 3 cases of bleach for the laundromat. Each case of laundry soap costs $68.45, eash case of fabric softener costs $39.71, and each case of bleach costs $52.25.
Which is the best estimate of the total cast, in dollars, of the laundry items?
The best estimate of the total cast, in dollars, of the laundry items is $885.
What is total?A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.
Given that, the owner purchases 6 cases of laundry soap, 8 cases of fabric softener, and 3 cases of bleach for the laundromat.
Each case of laundry soap costs $68.45
So, the cost of 6 cases of laundry soap
= 6×68.45
= $410.7
Each case of fabric softener costs $39.71
So, the cost of 8 cases of fabric softener
= 8×39.71
= $317.68
Each case of bleach costs $52.25
So, the cost of 3 cases of bleach for the laundromat
= 3×52.25
= $156.75
Total =410.7+317.68+156.75
= $885.13
≈ $885
Therefore, the best estimate of the total cast, in dollars, of the laundry items is $885.
Learn more about the total here:
https://brainly.com/question/15842940.
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A square has an area of 49 square inches. Explain how to find the perimeter of the square.
PLEASE HELP!!!! THANK YOU!!!
The graph of the function y = x2 is shown. How will the graph change if the equation is changed to y = 2x2?
A) The parabola will become wider.
B) The parabola will become narrower.
C) The parabola will move up 2 units.
D) The parabola will move down 2 units.
The parabola will become narrower, the correct option is B.
How the graph will change?
For a function f(x), we define a vertical stretch of scale factor k as:
g(x) = k*f(x).
If k > 1, we have a stretch, if 0 < k < 1, we have a contraction.
In this case, we have:
f(x) = x^2g(x) = 2*x^2So we have a vertical stretch of scale factor 2, this means that we are stretching our function vertically, so it will become narrower, meaning that the correct option is B.
If you want to learn more about transformations, you can read:
https://brainly.com/question/4289712
Number 14
I need help with this
A machinist creates a washer by drilling a hole through the center of a circular piece of metal. If the piece of metal has a radius of x + 7 and the hole has a radius of x + 6, what is the area of the washer?
Chris is making a poster for Bike Safety Week. The diameter of circle A is 14 in.
If the area of circle B is the area of circle A, what is the area of circle B? (Use 3.14 for .)
Answer:
30.772 in2.
Step-by-step explanation:
First, find the radius of circle A.
* in picture*
Next, use the formula and the radius of circle A to find the area of circle A.
*in picture*
Last, multiply the area of circle A by to find the area of circle B.
*in picture*
Therefore, the area of circle B is 30.772 in2.
Harry’s pizzeria is having a sale on medium and large pizzas. Medium pizzas are 10 inches in diameter and cost $7.99. Large pizzas are 14 inches in diameter and cost $14.99 Which size pizza is the better deal? Explain
The hypotenuse of a right triangle is 37 mm. One leg of the right triangle is 12 mm. What is the length of the other leg? 30 mm 35 mm 40 mm 47 mm
The legs of a right triangle are 10 cm and 24 cm. What is the length of the hypotenuse?
22 cm 26 cm 30 cm 34 cm
You are a farmer and want to spend under $35,000 on farm equipment. You need a hay bailer that costs $6,250 and several plowing disks cost $2,500 each. Write an inequality that models how many plowing disks could be purchased within your budget. What is the maximum number of plowing disks you can buy?
Answer:
A) 2,500x + 6,250 < 35,000; 11 plowing disks
Step-by-step explanation:
Kade makes 5/6 cup salad dressing. He uses 2/3 cup dressing on a salad. How much salad dressing is left
Kade has 1/6 cup of salad dressing left after using some on a salad. We found this by converting 2/3 cup to 4/6 cup and then subtracting it from the 5/6 cup he initially had.
To find out how much salad dressing Kade has left after using some on a salad, we need to subtract the amount used from the total amount he made. Kade made 5/6 cup of salad dressing and used 2/3 cup on a salad. To perform the subtraction, both fractions need a common denominator. The smallest common denominator for 6 and 3 is 6. The fraction 2/3 can be converted to 4/6 so that both fractions have the same denominator. Now we can subtract:
Convert 2/3 cup to 4/6 cup (Since 3*2 = 6, and 2*2 = 4).Subtract 4/6 cup from 5/6 cup: 5/6 - 4/6 = 1/6 cup.Hence, Kade has 1/6 cup of salad dressing left after using it on the salad.
Figure 1 is dilated to get Figure 2.
What is the scale factor?
Enter your answer, in simplest form, in the box.
The sum of two numbers is -1. When twice the first number and four times the second number are added, it equals -10. What are the two numbers?
What does the y-intercept have to do with the graph?