Answer:
y= 0.007x- 4.945
The estimated average miles per gallon for cars of this weight is (20.829 or 21 ) miles per gallon.
The miles per gallon of this car below (18 < 20.829) the average for cars of this weight.
Step-by-step explanation:
Weight Miles
(pounds), x per Gallon, y xy
3773 17 64,141
3793 16 60,688
2706 25 67,650
3645 20 72,900
3308 22 72,776
2908 24 69,792
3675 17 62,745
2687 24 64,488
3522 18 63,396
3827 16 61,232
∑y²=4075; ∑y=199; ∑x²= 116,406,174 ; ∑x=33,844 ; ∑xy=659,808
b= n∑XY - (∑X)(∑Y)/ n∑X² - (∑X)²
b=(10) (659,808) - (33,844)(199)/ 10 (116,406,174) - 1,145,416,336
b=6,598,080- 6,734,956/ 1,164,061,740 -1,145,416,336
b=136,876/18,645,404
b= 0.007341
a= Y`- bX`
a= 19.9- (0.007341) (3384.4)
a= 19.9 -24.845
a=-4.945
Y^= -4.945+ ( 0.007341) X
y= 0.007x- 4.945
Putting the values
y= 0.007x- 4.945
18 = 0.007(3511) - 4.945
18< 20.829
The estimated average miles per gallon for cars of this weight is (20.829 or 21 ) miles per gallon.
The miles per gallon of this car below (18 < 20.829) the average for cars of this weight.
Solve the system of equations.
5y - 4x = -7
2y + 4x = 14
X=
y =
Step-by-step explanation:
7y = 7
y = 1
2(1) + 4x = 14
4x = 12
x = 3
What is the factored form of x2 - 6x - 16?
O(x – 4)(x - 2)
O (x + 4)(x - 2)
O(x - 2)(x + 8)
(x-8)(x + 2)
Answer:
( x - 8 ) ( x + 2 )
Step-by-step explanation:
x² - 6x - 16
= x² + 2x - 8x - 16
= x ( x + 2 ) - 8 ( x + 2 )
= ( x - 8 ) ( x + 2 )
Answer: He's right its D.) (x-8)(x=2)
Step-by-step explanation:
1 point
Finish the similarity statement. (Note: your answer will be the 3 letters of
the other triangle. You must place them in the correct order and use
CAPITAL letters!) APQR-4
R
4 in
6 in
VA
8 in
4 in
3 in
2 in
YOUR ANSWER IS ANGLE BAC
Tom's dad is putting crown molding around the top of all of the walls in Tom's bedroom. The dimensions of his bedroom are shown. A rectangle that is eleven and three-fourths feet wide and fifteen and three-fourths feet long. Each foot of crown molding costs $0.85. What is the total cost of the crown molding?
Answer:
$157.30
Step-by-step explanation:
Width of the rectangular bedroom = 11 3/4 feet
Length of the rectangular bedroom = 15 3/4 feet
Area of the rectangular bedroom = length × width
= 15 3/4 × 11 3/4
= 63/4 × 47/4
= 2,961 / 16
= 185.0625 feet ²
Area of the rectangular bedroom = 185.0625 feet ²
Cost of each foot of crown molding = $0.85
Total cost of the crown molding = 185.0625 × $0.85
= $157.303125
Approximately,
Total cost of the crown molding = $157.30
This diagram shows a cylinder that has a radius of 3 inches and a height
of 5 inches.
3 in.
5 in.
What is the volume, in cubic inches, of the cylinder?
A. 151
B. 307
C. 451
D. 601
The volume, in cubic inches, of the cylinder will be [tex]\frac{990}{7}[/tex] or [tex]45\pi[/tex] cubic inches.
What is Cylinder?Cylinder is a [tex]3D[/tex] solid shape which holds two parallel bases joined by a curved surface, at a fixed distance. These bases are circular in shape and the center of the two bases are joined by a line segment.
What is volume?Volume is define as capacity of cylinder.
Volume of cylinder [tex]=\pi r^{2} h[/tex]
We have,
Radius [tex]=3[/tex] inches
Height [tex]=5[/tex] inches,
Then,
Volume of cylinder [tex]=\pi r^{2} h[/tex]
[tex]=\frac{22}{7} *(3)^{2} *5[/tex]
[tex]=\frac{990}{7}[/tex] or [tex]45\pi[/tex] cubic inches
Hence, we can say that The volume, in cubic inches, of the cylinder will be [tex]\frac{990}{7}[/tex] or [tex]45\pi[/tex] cubic inches
To know more about volume click here
https://brainly.com/question/1578538
#SPJ2
One year of classes at the University of Texas at Austin costs $10,700.
Georgio has received a grant that will pay $700 and a scholarship for
$5,500. He wants to get a job to pay 40% of the remainder of the costs
and borrow the rest of the money. How much does he need to earn on
his job, and how much will he need to borrow?
O
Georgio has to earn $1,600 and borrow $2,700.
Georgio has to earn $1,800 and borrow $2,700.
Georgio has to earn $1,800 and borrow $2,300.
Georgio has to earn $1,600 and borrow $2,300.
Answer:
Georgio has to earn $1,800 and borrow $2,700.
i need help the test is time and i have 5 min left can y'all pls help pls
Answer:
divide the figure into two parts.
area of square = side²
area of square =12²
area of square =144
area pf trapezium =1/2×(a+b)×h
area of trapezium =1/2×(12+6)×12
area of trapezium =108
area of polygon=144+108=252 unit²
In 1945, what concern did the Allies have about invading the Japanese mainland with ground forces? They were worried they did not have enough soldiers. They were worried there would be too great a loss of life. They were worried the Japanese were developing an atomic bomb. They were worried the Japanese had a stronger fleet in mainland ports.
Answer:
b
Step-by-step explanation:
i need points
In 1945, the concern which the Allies had about invading the Japanese mainland with ground forces was:
B. They were worried there would be too great a loss of life.What is an Invasion?This refers to a military tactic where the armed forces of a country or a place go into enemy territory with the aim of defeating the troops and claiming the territory.
With this in mind and from the events in history, we can see that after the bombing of Pearl Harbor by the Japanese Navy, there were concern by the Allies of invading the Japanese mainland with ground forces because they feared the great loss of life.
Read more about Pearl Harbor here:
https://brainly.com/question/860420
ok soooo
when you rrly think abt it we all have kicked a pregnant lady
Answer:
Step-by-step explanation:
lol true
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
Only the mean increased.
Step-by-step explanation:
The mean is the total divided by the number of scores, and since adding 21 will increase the total score significantly, the mean increases.
The median is still 7.
An inch is equal to about 2.54 centimeters. Write an expression which estimates the number of centimeters in X inches
Answer: 2.54(x)
Step-by-step explanation:
Since an inch is equal to about 2.54 centimeters, the expression which estimates the number of centimeters in X inches will be gotten by multiplying 2.54 by X. This will be:
= 2.54 × X
= 2.54(x)
For example, if there are 4 inches, the number of centimeters in it will be:
= 2.54(x)
= 2.54 × 4
= 10.16 inches
a - 2/3 = 3/5 how much is a?
Answer:
19/15
Step-by-step explanation: In order to solve for A add 2/3 to both sides of the equation to get A alone and 2/3 + 3/5 is equal to 10/15 + 9/15 which means the answer is 19/15.
Can someone please help me answer this question asap thank you
A sprinkler waters a circular area. The sprinkler sprays 30 gallons of water per minute.
Select as few quadrants as possible that would allow you to create a graph of the total number of gallons of water,
y, sprayed by the sprinkler after x minutes.
Quadrant 1
Quadrant 2
Quadrant 3
Quadrant 4
Answer:
Quadrant 1
Step-by-step explanation:
The number of gallons of water sprayed after x minutes would never be negative, nor would time be negative, so the first quadrant would be all that you need
A seventh-grade class raised $380 during a candy sale. They deposited the money in a savings account for 6 months. If the bank pays 5.3% simple interest per year, how much money will be in the account after 6 months?
Answer: You want to calculate the interest on $380 at 5.3% interest per year after .5 year(s).
The formula we'll use for this is the simple interest formula, or:
Where:
P is the principal amount, $380.00.
r is the interest rate, 5.3% per year, or in decimal form, 5.3/100=0.053.
t is the time involved, 0.5....year(s) time periods.
So, t is 0.5....year time periods.
To find the simple interest, we multiply 380 × 0.053 × 0.5 to get your answer.
Step-by-step explanation:
do this and thanks for help
How much water can a sponge filter in one minute?
2 quarts
3 quarts
4 quarts
1 quart
Answer:
It would be 4 quarts.
Step-by-step explanation:
The answer is 2 quarts
LEGIT PLEASE HELPPPPPPPPPPPP
Step-by-step explanation:
[tex]x + 22 + 3x = 90[/tex]
[tex]4x = 9 0- 22 \\ 4x = 68 \\ x = 17[/tex]
M1
[tex]17 + 22 = 39[/tex]
M2
[tex]3 \times 17 = \\ = 51[/tex]
The school Amina goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
Answer:
child = $14
senior = $8
Step-by-step explanation:
3s + c = 38
3s + 2c = 52
52 - 38 = 14
child = $14
3s + 14 = 38
3s = 24
divide by 3
senior = $8
Kim is repainting a storage trunk shaped like a rectangular prism as shown.
Kim will paint all the faces of the outside of the storage trunk when it is closed. How many square feet will Kim paint?
Answer:
i got 54ft^2
Step-by-step explanation:
The triangle has a height of 8 and a base of 14.
What is the area of the triangle?
Answer:
The answer is 56.
Step-by-step explanation:
The formula for a triangle is b×h÷2. So you just input the data. 8×14÷2.
please give answers to 13,14,15,16 DUE TODAY .
ILL GIVE BRAINLIEST
Answer:
13.) 237 millimeters
14.) 87.5 feet (87 feet 6 inches)
15.) 28
16.) 121 degrees
Step-by-step explanation:
16.) The "arc length" formula is s = rФ, where Ф represents the central angle in radians (not degrees).
Here r = 18 ft and s = 38 ft, and so:
38 ft
s = rФ becomes Ф = ------------ = 2.111 radians
18 ft
which, in degrees, is:
2.111 rad 180 deg
------------- * --------------- = 121 degrees, to the nearest degree
1 3.142
If you move a decimal to the left 3 times will the numbers increase in value
Answer:
The number will decrease in value
Step-by-step explanation: For example if we had 638.23 if I move the decimal to the left 3 times it would be .63823, and if we add zeros it would look like this, 0.63823 so the number would decrease in value
1 Which is an arithmetic sequence?
F)2, 5, 9, 14, ...
G)100, 50, 12.5, 1.6, ...
H)3, 10, 17, 24,...
j) -2,-1,-1/2,-1/4
Answer:
H) 3, 10, 17, 24, ...Step-by-step explanation:
An arithmetic sequence is when the difference of the terms is same
F)2, 5, 9, 14, ...
14 - 9 = 5, 9 - 5 = 4. 5-2 = 35 ≠ 4 ≠ 3, no
G)100, 50, 12.5, 1.6, ...
1.6 - 12.5 = -10.912.5 - 50 = -37.550 - 100 = -50-10.9 ≠ -37.5 ≠ -50, no
H)3, 10, 17, 24,...
24-17 = 717 - 10 = 710 - 3 = 77 is the common difference, yes
j) -2,-1,-1/2,-1/4
-1/4 - (-1/2) = 1/4-1/2 - (-1) = 1/2-1 - (-2) = 11/4 ≠ 1/2 ≠ 1, no
6. Brandon and Charlotte Snifflesworth are visiting three of Americas top tourist attractions. The Snifflesworths
live close to Disney World in Orlando, Florida. They decided to start their trip at Disney World before traveling to
San Francisco, California to see the Golden Gate Bridge and then to Minneapolis, Minnesota to go shopping at the
Mall of America. The bearing from Disney to the Golden Gate Bridge is North 65° West. The bearing from the
Golden Gate Bridge to the Mall of America is North 80° East. The bearing from Disney to the Mall of America is
North 30° West and the distance traveled is 1,320 miles. Find all missing interior angles and distances created from
their triangular trip to America's top tourist attractions. Also find the bearing from the Mall of America to
Disneyland.
Answer:
The distance from Disney to the Golden Gate Bridge is 2,162.56 miles
The distance from Mall of America to The Golden Gate Bridge is 1,320 miles
The interior angle at The Golden Gate Bridge is 35°
The interior angle at Mall of America is 110°
The interior angle at Disney is 35°
The direction from Mall of America to Disney is South 30° East
Step-by-step explanation:
The bearing from Disney to the Golden Gate Bridge = North 65° West
The bearing from the Golden Gate Bridge to the Mall of America = North 80° East
The bearing from Disney to the Mall of America = North 30° West
The distance from Disney to the Mall of America = 1,320 miles
Let 'A', 'B', and 'C' represent the interior angles at Disney, The Golden Gate bridge and Mall of America respectively
From the drawing of the triangular trip, we find that the interior angle at C = The sum angles complementary to the bearings at B and at C
Therefore, the interior angle at C = (90° - 65°) + (90° - 80°) = 35°
The interior angle at B = The bearing of C from B - The bearing of A from B
∴ The interior angle at B = 65° - 30° = 35°
B = 35°
∠C = 35° and ∠B = 35°, therefore, the triangle is an isosceles triangle
The interior angle at A = 180° - (∠B + ∠A) = 180° - (35° + 35°) =110°
CA = AB = 1.320
By sine rule, a = sin(110) × 1320/sin(35) ≈ 2,162.56 miles
a = CB = 2,162.56 miles
Therefore, we have;
The distance from Disney to the Golden Gate Bridge = 2,162.56 miles
The distance from Mall of America to The Golden Gate Bridge = 1,320 miles
The interior angle at The Golden Gate Bridge = 35°
The interior angle at Mall of America = 110°
The interior angle at Disney = 35°
The magnitude of the bearing of Mall of America to Disney = The magnitude of the alternate angle to the bearing of Disney to Mall of America = 30°
∴ The direction from Mall of America to Disney = South 30° East
Thomas has finished 50% of an art project that has taken him a total of 9 hours so far. If he continues to work at the same rate, how many hours will it take for him to complete the entire project?
Answer:
18 hours
Step-by-step explanation:
9/0.50 = 18 hours
1. El ayuntamiento de un pueblo quiere asfaltar
una plaza circular que tiene en el centro una
fuente, también circular, para celebrar allí con-
ciertos de música a lo largo del año. Si la fuente
tiene un diámetro de 4 m y la plaza, uno de 16
m, ¿cual será el área de la región por asfaltar?
You start at (8, 0). You move left 8 units. Where do you end?
Answer:
(0, 0)
Step-by-step explanation:
x = 8 - 8 = 0
y-value remains the same.
Answer: You would move to the origin (0,0)
Step-by-step explanation:
This is because when you move in teh direction of left or right you would utilize the x-axis. Thus, moving over to the left 8 units would lead you to the origin or in other words (0,0).
Find the value of the variables in the simplest form
Answer:
x = 2
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + x² = (2[tex]\sqrt{2}[/tex] )² , that is
2x² = 8 ( divide both sides by 2 )
x² = 4 ( take the square root of both sides )
x = [tex]\sqrt{4}[/tex] = 2
Can someone explain pls I don’t understand how to do it lol
Find the volume of the
rectangular prism.
3 cm
9 cm
7 cm
V = [?] cm3
Answer:
189cm^3
Step-by-step explanation:
First, we need to find the formula of "how to find the volume of any prism":
length * width *height
* = multiply
So that means we need to do:
7cm * 9cm * 3cm
= 189cm^3
^ = exponent
Hope this helped :)
