Answer: 53.8
Step-by-step explanation:
A car manufacturer provided information about two different car models
Car A
Car B
у
Gas
(gallons)
Distance
(miles)
0
0
Distance (miles)
350
300
250
200
150
100
50
60
vlund
100
140
X
0
1 2 3 4 5 6 7 8 9 10 11
Gas (gallons)
10
200
The graph and table each show a proportional relationship between the number of miles traveled and the advertised number of gallons of gas used for
the two car models, A and B, respectively
What is the unit rate of Car A?
miles per gallon
What is the unit rate of Car B?
miles per gallon
Answer:
Step-by-step explanation:use Slader if u have a textbook
2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equation for rin terms of x and y. (3 points: 1 point for the correct Pythagorean setup, 1 point for work, 1 point for the solution
The function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]
What is a function?"It defines a relation between input and output values.""In function, for each input values there is exactly one output."What is right triangle?"It is a triangle having one of the angle measures 90° "
What is hypotenuse?"It is the longest side of the right triangle."
What is Pythagoras theorem?"For a right triangle,
[tex]a^2+b^2=c^2[/tex], where c is the hypotenuse of the right triangle and a, b are other two sides of right triangle."
For given question,
We need to write a function that models the relationships among x, y, and r.
Consider a right triangle ABC.
where AB = x, BC = y and hypotenuse AC = r
Using Pythagoras theorem,
[tex]x^{2} + y^{2} =r^{2}[/tex]
above function defines the relationships among x, y, and r.
Now we solve above equation for 'r',
[tex]\Rightarrow r^2=x^2+y^2\\\\\Rightarrow r=\sqrt{x^2+y^2}[/tex]
Therefore, the function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]
Learn more about function here:
https://brainly.com/question/12431044
#SPJ2
Answer:
Look below!
Step-by-step explanation:
1. What is the horizontal distance that your bridge must span to clear the ravine? (1 point)
150 feet.
2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equation for r in terms of x and y. (3 points: 1 point for the correct Pythagorean setup, 1 point for work, 1 point for the solution)
Pythagorean theorem—>a^2+b^2=c^2
a and b are the legs, while c is the hypotenuse.
x^2+y^2=r^2
Take the root of both sides
r=√x^2+y^2
I need help with this !
Answer: Try using calculatorsoup dot com Significant Figures auto Don't put m in the answer there's No Unit(s)
a = 12 m
b = 5 m
c = 13 m
P = 30 m
s = 15 m
K = 30 m2
ha = 5 m
hb = 12 m
hc = 4.6153846153846 m
Step-by-step explanation:
Please help me ASAP I’ll mark Brainly
Answer:
0.85
Step-by-step explanation:
3.4 / 4 = 0.85
Hope that helps!
The length of a rectangular box is 1 inch more than twice the height of the box, and the width is 3 inches more than the height. If the volume of the box is 252 cubic inches, find the dimensions of the box. length in width in height in
Answer:
height be 4 in
length be 9 in
ANd, the width be 7 in
Step-by-step explanation:
Let us assume the height of the box be x
So the length would be 2x + 1
And, the width be x + 3
As we know that
The volume of the rectangular box = length × width × height
252 = (2x + 1) × (x + 3) × (x)
252 = (2x^2 + x) × (x + 3)
252 = 2x^3 + 6x^2 + x^2 + 3x
2x^3 + 7x^2 + 3x = 252
2x^3 + 7x^2 + 3x - 252 = 0
after solving this
x = 4
So height be 4 in
length be 9 in
ANd, the width be 7 in
i need help! i’m not sure what’s going on
Answer:one of them is m=3/1 y=3x+10
Step-by-step explanation:i
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 419 gram setting. It is believed that the machine is underfilling the bags. A 15 bag sample had a mean of 409 grams with a standard deviation of 22. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Answer:
We reject the null hypothesis, and accept the alternative hypothesis.
So, it means that the machine is under filling the bags
Step-by-step explanation:
Given
Null Hypothesis
[tex]H_0:\mu = 419[/tex] --- works correctly at 419g
Alternate Hypothesis
[tex]H_0:\mu < 419[/tex] --- under fills the bag
[tex]n =15[/tex] --- the sample
[tex]\bar x = 409[/tex] --- the mean
[tex]\sigma = 22[/tex] --- the standard deviation
[tex]\alpha = 0.05[/tex] --- the significance level
Required
What is the decision rule
Since n is less than 30, we make use of t test
[tex]t = \frac{\bar x - \mu}{\sigma/\sqrt n}[/tex]
[tex]t = \frac{409 - 419}{22/\sqrt{15}}[/tex]
[tex]t = \frac{-10}{22/ 3.87}[/tex]
[tex]t = \frac{-10}{5.58}[/tex]
[tex]t = -1.792[/tex]
Calculate df
[tex]df = n-1[/tex]
[tex]df = 15-1[/tex]
[tex]df = 14[/tex]
Calculate the p value from the Student's t-distribution at df = 14 and [tex]t = -1.792[/tex]
[tex]p =0.047[/tex]
Given that: [tex]\alpha = 0.05[/tex]
Since [tex]p < \alpha[/tex]
So, it means that the machine is under filling the bags
Stan swam 100 meters in 2 minutes. At this rate, how many meters would he swim in 20 minutes?
Answer:
2,000 meters
Step-by-step explanation:
I multiplied 100 by 20.
Hope this helped
each minute, they swim 50 m.
20*50 = 1000
1000 metersThe graphs below have the same shape. What is the equation of the red
graph?
3. Which of the following is a polynomial with roots 4,6, and - 7
Answer: P(x)= x³ - 3 x² - 46 x +168
Step-by-step explanation:
(4,6, -7)
hence the polynomial will be equal to
P(x) = (x-4) (x-6) (x+7)
P(x) = (x-4) (x²+7 x -6 x -42)
P(x) = (x-4) (x²+x -42)
P(x) = x³ + x²-42 x -4 x² -4 x +168
P(x) = x³ - 3 x² - 46 x +168
hence, the required polynomial is P(x) = x³ - 3 x² - 46 x +168
Have a awesome day✨Mrs. Liang said that 36%of the students in her math class earned a grade of B or higher. Which ratio represents the portion of students receiving a grade of B or higher to the total number of students in the class?
Answer:
36:45
Step-by-step explanation:
Kate ran 6 miles. How far did she run in kilometers?
Answer:
9.65606
Step-by-step explanation:
Levi bought 5 pairs of jeans for $127.63. How much would he need to pay for 9 pairs of jeans?
Answer:
$229.73
Step-by-step explanation:
5 Pair of jeans = 127.63
divide by 5 to get 1 pair of jeans.
1 pair of jeans = 25. 526 rounded 25.53
times 9 to get to 9 pair of jeans.
9 pair of jeans = 229. 734 rounded 229.73
HURRY PLEASE I WILL GIVE BRAINLIEST
Answer:
About 40% of students own a cat
Step-by-step explanation:
What day and time will it be 85 hr 33 min after Friday 12:11 am?
Answer:
Enter date and time information at "From:"
Select a month and a day. Enter a year.
The year entered must be a positive number. Not zero (0).
Enter hours and minutes. Select am or pm.
The hours entered must be a positive number between 1 and 12 or zero (0).
The minutes entered must be a positive number between 1 and 59 or zero (0).
Add or Subtract Line
Enter number of days, hours and minutes
Select "add" or "subtract"
If you type "ghblxz", in the year box the computer will print "0"
If you type "1.9e2", the computer will use "190" to calculate the answer.
If you select "February 31", the computer will print "Not a Day"
Click "Click to Calculate" button. The calculated date and time will appear.
NaN = not a number
To clear the entry boxes click "Reset
CORRECT ANSWER GETS BRAINLY PLEASE!!! For g(x)=x^2-x, find g(x) when x=-5
Must Show Work
g(-5)=?
The gardening club set a goal of raising at least $500
in flower sales. So far it has raised $415. How many
more dollars does the gardening club need to raise
to reach its goal?
Answer:
Nxnjsjdndkknnndnnnenndnnd
Answer:
85
Step-by-step explanation:
If you subtract 415 from 500 you get 85.
Therefore the gardening club needs 85$
If you could mark brailiest that would be great, I'm trying to rank up.
Hope I helped:)
HAve a great day:)
Given a linear equation in the form y = ax, if a > 0 then the greater the coefficient a
a) the greater the slope of the equation
b) the smaller the slope of the equation
WILL MARK BRAINLIEST
c) the longer the line is
d) the shorter the line is
Help me please y’all please help!
9514 1404 393
Answer:
(c) 180 cm²
Step-by-step explanation:
Maybe you want the area of the trapezoid. That is given by the formula ...
A = (1/2)(b1 +b2)h
where b1 and b2 are the base lengths, and h is the height.
Here, the top base is marked 16 cm, and the bottom base is shown as 4 cm longer, so is 20 cm.
A = (1/2)(16 cm +20 cm)(10 cm) = 180 cm²
Use a ratio box to solve this problem. The road was steep.
Every 100 yards the elevation increased 36 feet. How many
feet did the elevation increase in 1500 yards?
36
Answer:
540 feet
Step-by-step explanation:
[tex]\frac{36}{100} = \frac{x}{1500}[/tex] Cross multipy
100x = 54000
54000/100 = 540
x = 540
Need help 2w+43,if w=9
Answer:
61
Step-by-step explanation:
2w + 43 = ?, w = 9
Substitute w: 2(9) + 43 = ?Multiply: 18 + 43 = ?Add: 18 + 43 = 61Can a trangle have lengths of 1 , 1 and 6
Answer: No it can't
You can prove this with Pythagorean theorem. (a^2+b^2=c^2) In this case, 6 is the highest number so we know it has to be the hypotenuse. So plug it into the equation, 1^2+1^2=6^2, and simplify. You will get 2=36, and we know that is not true, so a triangle can't have the lengths of 1, 1, and 6.
Hope this helped you!
PLZZZ ANSWER!! Answers for points will be reported.
Triangle KLM has KL = 28, KM = 28, and LM = 21. What is the area of the triangle?
The area of AKLM is about
(Simplify your answer. Round to one decimal place as needed.)
Answer:
272.6Step-by-step explanation:
This is an isosceles triangle with base of 21 and sides of 28.
Area formula
A = 1/2bhFind height:
h = [tex]\sqrt{28^2 - (21/2)^2} = \sqrt{673.75} = 25.96[/tex]Area:
A = 1/2(25.96)(21) = 272.6 (rounded)ques 1 : x + 1 3/8 = 2 1/4
ques 2 : 13.27 = t - 24.45
ques 3 : 9 = 3/8 × y
please answer them due date today thx
Answer: 1. 29/8
2. 37.72
3. 24
Step-by-step explanation:
1. x + 1 3/8 = 2 1/4
x = 21/4 - 13/8
x = 42/8 - 13/8 [set the denominator equal]
x = 29/8
2. 13.27 = t - 24.45
Rewrite the function as t - 24.45 = 13.27
t = 13.27 + 24.45
t = 37.72
3. 9 = 3/8 × y
Rewrite as 3/8 x y = 9
y = 9/ (3/8)
y = 9 x (8/3)
y = 24
Round 7 3/8 to the nearest whole number?!?
Answer:
7
Step-by-step explanation:
Everything including 1/2 and above rounds up to the next whole number.
3/8 < 4/8
7 and 3/8 rounds to 7
[tex]\int\limits^1_0 {e^t^x} \, dx[/tex]
Answer:
all it says is the link
Step-by-step explanation:
A rectangular painting has an area of 9.52 feet. What are three different ways in which this can happen. Give three unique length and width not using one.
Answer:
2 x 2 x 2.38
2 x 2.1 x 2.26
6 x .31 x 5.118
Can someone find the surface area of the composite shape and show work! I’ll give 30pts! Thanks!
Answer:
382 cm²
Step-by-step explanation:
The shape can be decomposed into two rectangular prism or cuboids
✔️Dimension of prism 1 (smaller prism):
L = 10 cm
W = 3 cm
H = 7 - 4 = 3 cm
Surface area of prism 1 = 2(LW + LH + WH)
= 2(10*3 + 10*3 + 3*3)
= 2(69)
Surface area of prism 1 = 138 cm²
✔️Dimension of prism 2 (larger prism):
L = 10 cm
W = 8 cm
H = 4 cm
Surface area of prism = 2(LW + LH + WH)
= 2(10*8 + 10*4 + 8*4)
= 2(152)
Surface area of prism 2 = 304 cm²
✅Surface Area of the composite shape = (Surface area of prism 1 + surface area of prism 2) - (2 × area of the base of prism 1)
= (138 + 304) - (2 × L × W)
= 442 - (2 × 10 × 3)
= 442 - 60
= 382 cm²
Evaluate 2^9 (2 to the 9th power)
Answer:
512
Step-by-step explanation:
2^9 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512
The measure of an angle is 89º. Find the measure of its supplement
A) 91 degrees
B) 81 degrees
C) 90 degrees
D) 80 degrees
Answer:
The is A) 91
Step-by-step explanation: