Answer: 14.1
Step-by-step explanation:
The Beechcraft 1900D is a commuter airplane with a fuel capacity of 665 gallons. The function that represents how the amount of fuel changes as a function of distance flown is f(x)=−0.9x+665, where x represents miles flown, and f(x) represents the amount of fuel remaining. What is the rate of change for this scenario?
Given:
The function that represents how the amount of fuel changes as a function of distance flown is
[tex]f(x)=-0.9x+665[/tex]
where x represents miles flown, and f(x) represents the amount of fuel remaining.
To find:
The rate of change for this scenario.
Solution:
The slope intercept form of a linear function is
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope or rate of change and b is the y-intercept.
We have,
[tex]f(x)=-0.9x+665[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=-0.9[/tex]
Therefore, the rate of change for this scenario is -0.9. It means, the amount of fuel in the airplane is decreasing by 0.9 gallons per mile.
cómo se calcula las medidas de un rectángulo solo sabiendo cuánto mide el area
Find the mZNPI
Exterior angles of triangle
Given:
The figure of a triangle.
To find:
The exterior angle of the triangle m∠NPI.
Solution:
According to the exterior angle theorem, value of exterior angle of a triangle is equal to the sum of the opposite interior angles.
Using the exterior angle theorem, we get
[tex]m\angle NPI=65^\circ+78^\circ[/tex]
[tex]m\angle NPI=143^\circ[/tex]
Therefore, the measure of angle NPI is 143 degrees.
Find the measure of 14x+7+44+9x+3=180?
61° is the measure of <STW
How to find the measure of <STW?To solve this problem, we need some angle geometry knowledge
Given: <SRT = 44°, <RST = 9x+3, <RTW = 14x+7
<RTW = <SRT + <RST (exterior angle of a triangle is equal to the sum of opposite interior angles)
14x+7 = 44 + 9x+3
14x -9x = 44+3-7
5x = 40
x = 40/5 = 8
<STW + <RTW = 180 (sum of angles on a straight line)
<STW = 180 - <RTW
<STW = 180 - (14x+7)
Substitute x = 8:
<STW = 180 - (14(8) +7)
<STW = 180- 119 = 61°
Therefore, the measure of <STW is 61°
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Round the decimal and solve to find the best estimate.
.÷ 8
Answer:
0
Step-by-step explanation:
Rounded to the nearest 0.01 or
the Hundredths Place would equal 0.00.
so then you do 0.00 ÷ 8 = 0
Suppose a city with population 300000 has been growing at a rate of 3% per year. If this rate continues, find the population of this city in 17years.
Whats the answer to this i can't figure it out can someone help.
Answer:
D!
Step-by-step explanation:
TRUST ME :) SINCE IT'S A RIGHT ANGLE YOU DO 90 DEGREES MINUS THE NUMBER IT GIVES, 38 TO GET 52. THEN YOU DIVIDE 52 BY 2 BECAUSE THERE'S OLP AND NLO :))) you get 26 after that. I hope I helped!
Evaluate : 2X+ 9 when x = -5
А
-10
00
10
C
-1
D
2
E
1
2x + 9
=2(-5) + 9
= -10 +9
= -1
Answer:
That would be C. -1
the system of equations below.
6x + 3y = 9
Y = -2x +3
Choices:
0
(0,0)
(9,9)
no solution
infinitely many solutions
Answer:
0n solution infinitely many solution
Step-by-step explanation:
A 2-column table with 4 rows. The first column is labeled x with entries 0, 5, 10, 15. The second column is labeled y with entries 15, 10, 5, 0.
What is the correlation coefficient for the data shown in the table?
1
-1
5
10
Answer:
10
Step-by-step explanation:
The following information below shows the number of employees working 4 days in an office in a week. Draw a pie chart to display the information. Monday 180 Tuesday 140 Wednesday 120 Thursday 160
Answer:
989
Step-by-step explanation:
help me plz i don’t do math and it’s hard
CAN SOMEONE HELP ME PLEASE
I’ll give the Brainliest to who answers this question with a reasonable explanation.
The distance that a object covered in time was measured and recorded in the table. What equation would describe this motion?
A) y = 2x + 1
B) y = 3x + 1
C) y = 2x
D) y = 3x
Thank you.
Answer:
D y=2x
Step-by-step explanation:
Using slope formula change in y over change in x
[tex] \frac{2}{1} [/tex]
the slope is 2 and when we plug the x value in it gives us our corresponding y value so the answer is D
Given m||n, find the value of x.
(10x-2)
(9x+5)°
Answer:
1. 2(5x-1)
2. 1
Step-by-step explanation:
Make a conjecture of what the x-intercepts of the function
f(x) = (2x - 1)(x + 3) will be.
Answer:
x=-3,x1/2
Step-by-step explanation:
f(x)=(2x-1)(x+3)
TI find x intercept/zero substitute
f(x)=0
0=(2x-1)x(x+3)
swap the sides of the equation
(2x-1)x(x+3)=0
when the product of factors equals 0,at least one factor is zero
2x-1=0
x+3=0
solve the equation for x
x=1/2
x+3=0
solve the equation of x
x=-3
The equation has two solution
x=-3
x=1/2
Kaytelyn makes $10 an hour and receives weekly bonus of $25. How many hours dose she need to work this week to make more than $250
Answer:
$22.5
Step-by-step explanation:
[tex]250\leq 10x +25\\225\leq 10x\\x\geq 22.5[/tex]
ASSESSMENT
Solve for the following problems.
1. 30 is 15% of what number?
2. What is 78% of 100?
3. 8 is what percent of 16?
4. What percent of 35 is 7?
5. 22% of what number is 66?
6. 24% of 300 is what number?
7.12 is 40% of what number?
8. What is 90% of 30?
9.7 is what percent of 14?
10. What percent of 45 is 9?
Answer:
1. 200
2. 78
3. 50%
4. 20%
5. 14.52
6. 72
7. 30
8. 27
9. 50%
10. 20%
I hope this helps:D
EXPLAIN why the solution to the absolute value inequality | 4x - 9 | ≥- 12 is all real numbers.
Answer:
no matter what value you substitute for x, the absolute value will force the result to be a positive number and any positive number is greater than -12
Answer: Since the absolute value of any number is always greater than or equal to zero, then the given inequality holds for every real number.
Explanation: It doesn't matter which number you substitute for x, as the absolute value will convert the number into a positive one, which will always be greater or equal to 0. Hence, every real number can be a possible answer.
point G is rotated 90°. the coordinate of the pre-image G was (7,-5), and it’s image G’ is at the coordinate (5,7). What is the direction of the rotation
Answer:
The Direction of the rotation is counterclockwise around the origin.
What was Given was that Point G is rotated 90°. The coordinate of the pre-image point G was (7, –5), and its image G’ is at the coordinate (5, 7).
What you need to find was : What is the direction of the rotation.
So coming to conclusions is we have given that Point G is rotated 90°.
The Pre-image of G = ( 7, -5).
Translated image G' = ( 5 ,7).
By the Rotation rule of 90° is : (-y, x) 90 degree rotation counterclockwise around the origin.
(y, -x) 90 degree rotation clockwise about the origin.
We can from G (7,-5) and G'( 5 ,7) it is rotation counterclockwise around the origin.
Therefore, Direction of rotation is counterclockwise around the origin.
Step-by-step explanation:
A total of 915 people attended a music festival at the park of these people 520 arrived before noon using estimation how many people arrived in the afternoon to the nearest hundred people?
Answer:
Step-by-step explanation:
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Will GIVE BRAINLIEST
A ganza is a percussion instrument used in samba music.
a. Find the surface area of each of the two labeled ganzas in terms of π , rounded to the nearest thousandths and as a decimal, round to the nearest whole number.
Surface area of smaller ganza =
π≈
cm2
Surface area of larger ganza =
π≈
cm2
b. The weight of the smaller ganza is 1.1 pounds. Assume that the surface area is proportional to the weight. What is the weight of the larger ganza to the nearest tenth of a pound?
The weight of the larger ganza is about
pounds.
Answer:
1036.2 sq. cm
Step-by-step explanation:
The surface area of the smaller ganza = 2πr2 + 2πrh
surface area = 2 x 3.14 x 3.5 x 3.5 + 2 x 3.14 x 3.5x 10
surface area = 76.93+ 219.8
surface area = 296.73 sq. cm
The surface area of the larger ganza = 2πr2 + 2πrh
surface area = 2 x 3.14 x 5.5 x 5.5 + 2 x 3.14 x 5.5x 24.5
surface area = 189.97+846.23
surface area = 1036.2 sq. cm
a. The surface area of the smaller ganza is [tex]296.73cm^{2}[/tex]
The surface area of the larger ganza is [tex]1036.2cm^{2}[/tex]
b. The weight of the larger ganza is [tex]3.84[/tex] pounds.
Surface area :From given figure,
Radius of smaller ganza ,[tex]r_{1}=3.5/21.75cm[/tex]
height of smaller ganza, [tex]h_{1}=10cm[/tex]
a. The surface area of the smaller ganza is,
[tex]S_{1}= 2 \pi r^{2} + 2\pi rh[/tex]
[tex]S_{1}=2 * 3.14 * 3.5 * 3.5 + 2 * 3.14 * 3.5* 10\\\\S_{1}=76.93+ 219.8\\\\S_{1}=296.73cm^{2}[/tex]
The surface area of the larger ganza
[tex]S_{2}= 2\pi r^{2} + 2\pi rh[/tex]
[tex]S_{2}= 2 * 3.14 * 5.5 * 5.5 + 2 * 3.14 * 5.5* 24.5\\\\S_{2}= 189.97+846.23\\\\S_{2} = 1036.2 cm^{2}[/tex]
b. Since, the surface area is proportional to the weight.
and The weight of the smaller ganza is 1.1 pounds.
[tex]\frac{1.1}{w}=\frac{296.73}{1036.2}\\ \\ w=\frac{1036.2*1.1}{296.73}\\ \\w=3.84[/tex]
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A candy store makes strawberry cream chocolates every 8 days and white chocolate truffles every 12 days. The candy store made both kinds of chocolates today. How many days from now will the candy store make both types of chocolates on the same day?
Answer:
on the 24th day they both will make chocolate the LCM of 8 and 12 is 24
Answer:
24 days
Step-by-step explanation:
You need to find the least common factor of 8 and 12
8x1=8 12x1 =12
8x2=16 12x2 =24
8x3=24
The candy store made both kinds of chocolates today
From now, every 24 days the candy store will make both types of chocolates on the same day
You find that your watch gains 2 minutes in 6 hours. how much will in gain in three days?
Answer: 12
Step-by-step explanation:
What is the positive solution to this equation?
3x2−20x=7
Answer:
6-20x=7
-20x= 7-6
-20x=14
-20×/20=14/20
×=14/20
There are many cylinders with radius 6 meters. Let hhh represent the height in meters and VVV represent the volume in cubic meters.
Write an equation that represents the volume VVV as a function of the height hhh. Use the symbol for \piππ.
VVV = _______?
Answer:
Step-by-step explanation:
VVV = πr²(hhh) = 36π(hhh)
The equation that represents the volume of the cylinder is 36πhhh m³.
What is a cylinder?A cylinder is a three-dimensional object. It is a prism with a circular base.
volume of a cylinder = πr²h
pi = π = 22/7
r = radius
6² πhhh
36πhhh m³
To learn more about to determine the volume of a cylinder, check: https://brainly.com/question/9624219
plz help fast i have to find the surface area of a 3d shape
label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area. Hope this helps! plz mark brainliest if possible
Step-by-step explanation:
Item 7
Find the missing length of the triangle.
Answer:
35/3yd
Step-by-step explanation:
de mediaan 8/10 - 7/10 - 7/10 - 3/10 - 4/10 - 0/10 - 10/10 - 5/10 - 3/10 - 1/10
Answer:
The fifth and sixth number would be the median.Therefore its 4/10 or 0/10
Answer:
median is 4/10 or 0/10
HELP PLSSS, 20 POINTSSS
Answer:
m1=43
Step-by-step explanation:
78-35=43