The expression that shows the cost to rent a car for 1 week and drive 200 miles is (15 × 7) + (0.25 × 200)
The problem can be modelled to a linear equation.
Linear equationLinear equation can be represented in slope intercept form as follows:
y = mx + b
where
m = slope
b = y-intercept
Therefore,
y = total cost of the rental
x = mile driven
Hence,
y = 0.25x + 15
Therefore, the expression that shows the cost to rent a car for 1 week and drive 200 miles is as follows:
(15 × 7) + (0.25 × 200)learn more on linear equation here: https://brainly.com/question/1550434
f(x)=3x^2+x f(x)=3x 2 +x \text{Find }f(-5) Find f(−5)
So the equation given is: [tex]3x^2+x[/tex]
What do we find: f(-5)
To find f(-5), we must plug '-5' into the equation in place of the 'x'
[tex]f(-5) = 3(-5)^2+(-5) = 3 * 25 -5=75-5=70[/tex]
Answer: f(-5) = 70
Hope that helps!
Carly and Carter are comparing bedrooms. They are each getting new carpet and are trying to figure out which room will be the most expensive to cover with carpet. (The rooms are both rectangular) Carly's bedroom is 15.3 ft. long and 8.7 ft. wide. Carter's bedroom is 14.4 ft. long and 9.6 ft. wide. Which bedroom will be the most expensive to cover with carpet? Explain your steps for figuring out the area of the floor for each bedroom and determining your answer. Make sure to Show your math steps as well.
Answer:
Carter's bedroom would cost more to carpet than Carly's because the floor area of the former is about five square feet greater than the floor area of Carly's bedroom.
Step-by-step explanation:
The area of either of these floors is found by multiplying length by width:
A = L*W.
Carly's bedroom is 15.3 ft by 8.7 ft; multiplying, we get A = 133.11 ft^2
Carter's is 14.4 ft by 9.6 ft: A = 138.24 ft^2
Carter's bedroom area (138.24 ft^2) is about 5 ft^2 larger than Carly's and would thus cost more to carpet.
100 POINTS PLEASE HURRY
Answer:
5.80^3
An airplane flies with a constant speed
of 820 miles per hour. How far can it
travel in 3 1/2 hours?
2870 miles
D= s x t
= 820 x 3.5
=2870
Hope this helps!
Help me fast please 50 POINTS giving 50 points and brainliest its only 5 questions
Answer:
2x^2+1=5-2x
2x^2+1-5+2x
2x^2-4+2x=0
x^2-2+x=0
x^2+x-2=0
(x+2)(x-1)
x1= -2
x2= 1
Answer:
[tex]2x^2+1=5-2x2x^2+1-5+2x2x^2-4+2x=0x^2-2+x=0x^2+x-2=0(x+2)(x-1)x1= -2x2= 1[/tex]
Step-by-step explanation:
I hope this helps and have a good day!
help please 4(2x-1)+3=8x+1
Use the distributive property:-
4(2x-1)
8x-4
8x-4+3=8x+1
8x-8x-4+3=1
8x-8x-1=1
0-1=1
-1=1
Wait, what? -1 is equal to 1?
Hence, the equation has no solutions.
Hope it helps :)
Please help me with this please and thank you please actually help me
Step-by-step explanation:
f(-1) = 4(2)^-1 ≈ 4 × 1/2 = 2
(x, f(x)) = (-1, 2)
f(0) = 4(2)⁰ = 4×1 = 4
(x, f(x)) = (0, 4)
f(1) = 4(2)¹ = 4×2 = 8
(x, f(x)) = (1, 8)
f(2) = 4(2)² = 4×4 = 16
(x, f(x)) = (2, 16)
A
group of friends were working on a student film that had a budget of $1300.
They spent all their budget on equipment and props. They used 55% of their
budget on props. How much money did they spend on equipment?
Line a is perpinduclar to Line B. If the slope of Line A is 3/7 what is the slope of Line B?
Answer:
slope = - 7/3
Step-by-step explanation:
Slope of a line = m
perpindicular slope = - 1/m
-1 / ( 3/7) = - 7/3
im stuck hahahahahahha lol
Answer:
r=53 degrees
______
yan po
What is the value of x in this triangle?
38
53
Enter your answer as a decimal in the box. Round only your final
answer to the nearest hundredth.
Answer:
x = 45.79°
Step-by-step explanation:
You can use sin Θ to find the value of x.
Let us find it now.
Sin x = Opposite / Hypotenuse
Sin x = 38 / 53
Sin x = 0.7169
x = Sin ⁻¹ 0.7169
x = 45.79°
A circular table top has a radius of 75 cm. A force of 640 N is applied to the whole table top. Calculate the pressure in N/m2 to 4sf.
The pressure applied on the whole table top = 361.9 N/m² to 4 significant figures.
Calculation of applied pressure on a surfacePressure= force/area
Area of the circular table = πr²
where r = 75cm = 0.75m
Area of the circular table = 3.143 × 0.75 × 0.75
= 1.768m²
Force = 640 N
Pressure = 640/1.768
= 361.99
= 361.9 N/m² to 4 significant figures.
Learn more about pressure here:
https://brainly.com/question/25736513
A helicopter is flying at an altitude of 306 meters, at an angle of depression of 38° to its landing pad. What is the distance d between the helicopter and the landing pad? Round your answer to the nearest whole number.
Answer:
497 mStep-by-step explanation:
Use tigonometry to find the value of d
sine = opposite side / hypotenuse306/d = sin 38°d =306/sin 38° d = 497 m (rounded)Answer:
497 m (nearest whole number)
Step-by-step explanation:
As the problem has been modeled as a right triangle, we can use the sine trigonometric ratio to find the distance d.
Sine trigonometric ratio
[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)From inspection of the given diagram:
[tex]\theta[/tex] = 38°O = 306 mH = dSubstitute the values into the formula and solve for d:
[tex]\implies \sf \sin(38^{\circ})=\dfrac{306}{H}[/tex]
[tex]\implies \sf H=\dfrac{306}{\sin(38^{\circ})}[/tex]
[tex]\implies \sf H=497.0263891...[/tex]
Therefore, the distance d between the helicopter and the landing pad is 497 m (nearest whole number).
Calculate the side lengths using the given scale.
Answer:
x= 5× 17
= 85milimetres
y= 65÷ 5
=13milimetres
PLEASE HELP WILL MARK BRAINLIST
If the ratio of the rectangular prisms' volumes is 1:8, what is j?
can you please help me??
What is the area of a circle whose radius is 6 ft?
6π ft²
9π ft²
36π ft²
72π ft²
Answer:
36π ft²
Step-by-step explanation:
Check out the attached photo
Estimate the value of 101.4^0.5 +6.43^0 x 7.99^(2/3)
I’m not really sure of the answer, if you know, please tell me.
Answer:
14
Step-by-step explanation:
101.4^0.5 = 10.0697 etc
it says estimate so I'm going to round that to 10
6.43^0 Anything with an exponent of 0 = 1
7.99^(2/3) = 3.9966 etc you can round that to 4
Put in the values:
10 + 1 × 4
Use PEMDAS
Parentheses
Exponents
Multiplication
Division
Addition
We have to multiply 1 × 4 which is 4
We're left with 10 + 4 which is 14
Answer:
14
Step-by-step explanation:
[tex]\sf 101.4^{0.5} +6.43^0 \times 7.99^{\frac23}[/tex]
[tex]\sf a^{0.5}=\sqrt{a}[/tex] so round 101.4 to 100 as the square root of 100 is easy to calculate mentally [tex]\sf a^0=1[/tex] so [tex]\sf 6.43^0=1[/tex]7.99 ≈ 8[tex]\sf a^{\frac23}=(a^{\frac13})^2[/tex][tex]\sf8^{\frac13}[/tex] = the number that you cube to get 8[tex]\begin{aligned}\sf 101.4^{0.5} +6.43^0 \times 7.99^{\frac23} & = \sf \sqrt{100} +1 \times8^{\frac23}\\\sf & = \sf 10 + (8^{\frac13})^2\\& = \sf 10 + (2)^2\\& = \sf 10 + 4\\& = \sf 14\end{aligned}[/tex]
Annie traveled 2/7 parts of her trip in the first hour, and then 1/8 parts in the second hour. She plans to rest when she has completed half of her trip. Is it time for Annie to rest? If it is not, what part of the trip does Annie still need to travel before she can rest?
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
A. ZRTP and ZATB
B. ZDTN and ZATP
C. ZATN and ZRTD
D. ZBTD and ZATP
Answer:
C & D because vertical angles have the same measures and thoses angles intersects each other
Step-by-step explanation:
PLEASE HELP ASAP LOOK AT PICTURE!!!
perform the indicated operation 7/2x-2/3x
Answer:
Ans: n−√5
Step-by-step explanation:
find the HCF of 447 577 669
Answer:
3
Step-by-step explanation:
447÷3=149577 is a prime number so it can't be divided669÷3=223447=3×149577=0669=3×223Common factors=3H.C.F of 447,577 and 669=3Answer:
1
Step-by-step explanation:
447 = 3 ×149
577 = 577 (prime number)
669 = 3 × 223
HCF = 1
The table below shows a student's quiz scores on six quizzes.
median is 16 ducky quack
Answer:
16
Step-by-step explanation:
Median, also known as the "middle" value in a data set. To be able to find the median, your data needs to be in numerical order.
Quiz scores:
9, 13, 20, 15, 18, 17
Arrange in numerical order:
9, 13, 15, 17, 18, 20
Find the "middle" value:
9, 13, 15, 17, 18, 20
When there are two middle values, you add them up and divide it by 2.
15 + 17 = 32
32/2 = 16
Therefore, the median, "middle" value of this student's quizzes is 16.
Hope this helps!
Lesson 4.02
A grocery store finds that the number of boxes of a new cereal sold increases each week. In the 1st week,
32 boxes of the cereal were sold. In the 2nd week, 56 boxes of the cereal were sold and in the 3rd week 80
boxes of the cereal were sold. The number of boxes of cereal sold each week represents an arithmetic
sequence.
A) State the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in
week n.
B) Use this rule to calculate how many boxes of cereal will be sold during the 12th week.
The boxes in the grocery store is an illustration of an arithmetic sequence
The explicit rule of the sequence is f(n) = 32 + (n - 1) * 24, and there are 296 boxes in the 12th week
How to determine the explicit rule?
The arithmetic sequence can be represented as:
32, 56, 80.......
Calculate the common difference (d)
d = 80 - 56 = 24
An arithmetic sequence is represented as
f(n) = a + (n -1) * d.
So, we have
f(n) = 32 + (n - 1) * 24
The number of box in the 12th week.This means that n = 12.
So, we have
f(12) = 32 +(12-1)*24
Evaluate
f(12) = 296
Hence, there are 296 boxes in the 12th week
Read more about arithmetic sequence at:
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Steven and his family ordered a meal that cost $136.50. Steven paid 14% sales tax and left a 20% tip on $136.50. What was the total cost?
Answer:
$182.91
Step-by-step explanation:
136.50 times 0.14 (14%) is 19.11
136.50 times 0.2 (20%) is 27.30
13650+19.11+27.30=182.91
For each diagram below, write and solve an equation for x .
Answer:
x = 100 , x = 3
Step-by-step explanation:
(a)
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 5 , then
sum = 180° × 3 = 540°
sum the angles and equate to 540
x + x + 125 + 125 + 90 = 540 , that is
2x + 340 = 540 ( subtract 340 from both sides )
2x = 200 ( divide both sides by 2 )
x = 100
(b)
the 2 given angles are alternate exterior angles and are congruent , then
6x + 18 = 2x + 30 ( subtract 2x from both sides )
4x + 18 = 30 ( subtract 18 from both sides )
4x = 12 ( divide both sides by 4 )
x = 3
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value tα/2, (b) find the critical value zα/2, or (c) state that neither the normal distribution nor the t distribution applies.
The confidence level is 99%, σ is not known, and the histogram of 56 player salaries (in thousands of dollars) of football players on a team is as shown.
Considering that we have the standard deviation for the sample, the t-distribution will be used, and the critical value is t = 2.6682.
When should the t-distribution and the z-distribution be used?If we have the standard deviation for the sample, the t-distribution should be used.If we have the standard deviation for the population, the z-distribution should be used.In this problem, σ is not known, hence we get the standard deviation of the sample from the histogram and the t-distribution is used.
Using a t-distribution calculator, considering a confidence level of 99% and 56 - 1 = 55 df, the critical value is t = 2.6682.
More can be learned about the t-distribution at https://brainly.com/question/16162795
y=3(x+2)^2+4 solve please and thank you!
Answer:
Step-by-step explanation:
Subtract 4 from both sides
y - 4 = 3(x+2)^2
Divide 3 from both sides
(y-4)/3 = (x+2)^2
Square root both sides
SQRT((y-4)/3) = x + 2
Subtract 2 from both sides
x = SQRT((y-4)/3) - 2
Hope this helps
What is the slope of the line that passes through (9,3) and (2,1)
Answer:
2/7
Step-by-step explanation:
[tex]slope = \frac{1 - 3}{2 - 9} \\ = \frac{ - 2}{ - 7} \\ = \frac{2}{7} [/tex]
