Answer:
The average of the 10 numbers is 195
Step-by-step explanation:
The average of a set of numbers is the sum of the numbers dividing by their number
Average = The sum ÷ The number∵ The average of 60 numbers is 55
∴ The average = 55
∴ The number = 60
→ Substitute them in the rule above to find the sum of the numbers
∵ 55 = The sum ÷ 60
→ Multiply each side by 60
∴ 3300 = The sum
∴ The sum of the 60 numbers = 3300
∵ 10 more numbers are included
∵ The average of 70 numbers become 75
∴ The average = 75
∴ The number = 70
→ Substitute them in the rule above to find the sum of the numbers
∵ 75 = The sum ÷ 70
→ Multiply each side by 70
∴ 5250 = The sum
∴ The sum of the 70 numbers = 5250
∵ The sum of the 10 numbers that added is the difference between
the sums of the 60 and 70 numbers
∵ The difference between the sums = 5250 - 3300
∴ The difference between the sums = 1950
→ To find the average of them divide their sum by 10
∵ The average of the 10 numbers = 1950 ÷ 10
∴ The average of the 10 numbers = 195
given f(x)=4-3x, what is the value of f(5)?
Answer:
-11
Step-by-step explanation:
Simplify the expression (combine like terms):
6x + 12y + 5 + 2y + 8
Answer:
[tex]6x + 14y + 13[/tex]
Step-by-step explanation:
[tex]6x + 12y + 5 + 2y + 8 \\(6x ) + (12y + 2y) + (5 + 8) \\ 6x + 14y + 13[/tex]
Twenty-one goats were shown in the county fair. This was seven less than four times the number of horses shown. How many horses were shown? (a) Write an equation that could be used to solve the problem. (b) State the solution.
Answer:
H=horse
H=4(21-7)
Step-by-step explanation:
H=4(21-7)
H=4(14)
There were 56 horses.
A player located 18.6 ft from the basket launches a successful jump shot from a height of 10 ft (level with the rim of the basket), at an angle θ = 36º and an initial velocity of v = 25 ft/s. Find the change of distance Δs of the toss if the angle changes by an amount Δθ. Hint: Use the following fact derived from Newton's Laws: An object released at an angle θ with initial velocity v ft/s travels a total distance [tex]s=\frac{1}{32} v^{2} sin(2\theta)[/tex]
Answer:
Step-by-step explanation:
You suck free points
The change of the distance travelled by the ball when the angle of launch
changes can be found by linear approximation.
The change in the distance, Δs, when the angle changes by Δθ in radians is approximately 0.211·Δθ.Reasons:
The distance of the player from the basket = 18.6 ft.
Height from which the jump shot is launched = 10 ft.
Angle of the jump shot = 36°
The initial velocity = 25 ft./s
According to Newton's Law of motion, the distance an object travels when
released at an angle θ, with an initial velocity, v, is given by the following
horizontal range formula equation;
[tex]s = \dfrac{1}{32} \cdot v^2 \cdot sin(2 \cdot \theta)[/tex]
[tex]\dfrac{ds}{d\theta} =\dfrac{d}{d\theta } \left( \dfrac{1}{32} \cdot v^2 \cdot sin(2 \cdot \theta) \right)= \dfrac{v^2 \cdot cos(2 \cdot \theta)}{16}[/tex]
By linear approximation, we have;
[tex]\Delta s = \dfrac{ds}{d\theta} \times \Delta \theta[/tex]
Which gives;
[tex]\Delta s =\dfrac{25^2 \cdot cos(2 \times 36^{\circ})}{16}\times \Delta \theta \approx 12.07 \times \Delta \theta[/tex]
360° = 2·π radians
[tex]12.07 ^{\circ} = \dfrac{2 \cdot \pi}{360} \times 12.07 \approx 0.211 \ radians[/tex]
Δs ≈ 0.211·Δθ
Therefore;
The change in the distance, Δs, when the angle changes by Δθ is 0.211·Δθ.
Learn more here:
https://brainly.com/question/17026396
helpppppp. (the other one cut out is multiplication property of equality)
Answer:
The second step is Distributive Property and the third is Subtraction Property of Equality
Step-by-step explanation:
The 1/2 is being distributed in the second step making the 8x to 4x and the 6 to 3.
The third step involves the subtraction of "x" from the right hand side and the left hand side.
y=7-x in standard form please help
Answer:
x + y = 7
Step-by-step explanation:
In an inequality, 0.5 is the greater number. What will the position of the other number be in relation to 0.5 on the vertical number line? What is the answer?! Help plz.
Answer:
Closer to 0 than 0.5, or under zero
Step-by-step explanation:
On a vertical number line, anything above zero is positive, and anything under zero is negative. If 0.5 is the greater number, then it has to be closer to zero, or under it.
Answer:
The other number would be located below 0.5 on the vertical number line.
Step-by-step explanation:
An online streaming service costs $25 to join. Each gigabyte used costs $2.50. Let g represent the number of gigabytes. Would this situation represent a function?
True False
Answer: 10
Step-by-step explanation:
25 ÷ 2.5 = 10
10 gigabytes
2.3 × 2² ÷ 2- 8·9 help please
Answer:
67.4
Step-by-step explanation:
You multiply the dimensions of Triangle A by 4 to create Triangle B. Select the conclusion(s) that you can make about the similar triangles.
1.The ratio of the perimeters (Triangle A to Triangle B) is 14.
2.The ratio of the perimeters (Triangle B to Triangle A) is 1 to 4.
3.The ratio of the areas (Triangle A to Triangle B) is 1 to 8.
4.The ratio of the areas (Triangle B to Triangle A) is 16 : 1.
5.There is not enough information to make any of the conclusions above.
Answer:
5
Step-by-step explanation:
there is not enough info to because we do not have the detentions are the difference of triangle A or B
Form a polynomial whose zeros and degree are given.
Zeros: 6, multiplicity 1; 3, multiplicity 2; degree 3
Type a polynomial with integer coefficients and a leading coefficient of 1 in the box below.
f(x) = (Simplify your answer.)
Answer: (x-6)(x-3)² all multiplied by 3.
Step-by-step explanation: first you will simplify (x-3)² then multiply it by (x-6). Then lastly you will multiply tha entire answer by 3 and simplify.
Hope this helped!!! :))
128 pounds of dog food for 16 dogs
Answer:
8
Step-by-step explanation:
128/6=8
Answer:
8.
divide 128 by 16 and its ^
Help I don’t understand this
Understand What?
◑︿◐::>_<::
Mr. Smith had 262 markers in the art room. He threw away the markers that dried out, and now he has 99 markers. How many markers dried out?
Answer:
163
Step-by-step explanation:
262-99=163
Answer:163
Step-by-step explanation: subtract 262 and 99
Write the equation of a line that is parallel to y = 6x +1 and that passes through the point (-7,1).
Answer:
[tex]y=6x+43[/tex]
Step-by-step explanation:
We want the equation of a line that is parallel to [tex]y=6x+1[/tex] which also passes through (-7, 1).
Since the new line is parallel, it must have the same slope as the original line.
The slope of the original line is 6.
Hence, the slope of our new line must also be 6.
We know that the slope is 6.
And it passes through the point (-7, 1).
So, we can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
Substitute:
[tex]y-1=6(x-(-7))[/tex]
Simplify:
[tex]y-1=6(x+7)[/tex]
Distribute:
[tex]y-1=6x+42[/tex]
Add 1 to both sides. Hence, our equation is:
[tex]y=6x+43[/tex]
Can someone please help me ?
Answer:
SAS (unless angle lines are drawn on by you, then it would be not enough info)
Step-by-step explanation:
Two sides both have the tick line to show that they are the same length.
They both share the same side
And if those angle lines were drawn by the question, then it would show that those angles are the same.
Add them all together to get SAS as you have (Side, Angle, Side)
Can somebody just answer this in simplify form plz!!! Make sure it’s a correct answer :)
(I’m still new to this and idek what “simplify it” means...?
WILL MARK BRAINLIEST
PROMISE!
What is the image of (-4,9) after a dialation by a scale factor of 3 centered at the origin
Answer:
-12,27
Step-by-step explanation:
What is 3x+1-x=5 answer quick
Answer:
x=2
Step-by-step explanation:
3x+1-x=5
add like terms
2x+1=5
subtract 1 from both sides
2x=4
divide by 2 from both sides
x=2
Answer:
3x+1-x=5
2x+1=5
2x=4
x=2 please give me brainlist
Step-by-step explanation:
Which of these tables represents a function?
What is the value of (2x)° + 1
Answer:
=2x+1
Step-by-step explanation:
I am pretty sure that is the answer
NEED HELP ASAP WILL GIVE BRAIN
Review the diagram.
On a coordinate plane, a vector labeled 120 meters forms angle 25 degrees with the x-axis. It goes to point mirror 1. Another vector labeled 90 meters goes from point mirror 1 to mirror 2. It forms angle 20 degrees with a horizontal line. Point mirror 2 goes to (0, 0).
A laser beam is aimed 25° from horizontal at a mirror 120 m away. The beam bounces off the mirror and continues for an additional 90 m at 20° above horizontal until it hits a target, mirror 2. What is the distance between the origination point and the target?
approximately 85 m
approximately 122 m
approximately 174 m
approximately 194 m
Answer:
Vectors are usually described in terms of their components in a coordinate system. Even in everyday life we naturally invoke the concept of orthogonal projections in a rectangular coordinate system. For example, if you ask someone for directions to a particular location, you will more likely be told to go 40 km east and 30 km north than 50 km in the direction 37° north of east.
In a rectangular (Cartesian) xy-coordinate system in a plane, a point in a plane is described by a pair of coordinates (x, y). In a similar fashion, a vector
→
A
in a plane is described by a pair of its vector coordinates. The x-coordinate of vector
→
A
is called its x-component and the y-coordinate of vector
→
A
is called its y-component. The vector x-component is a vector denoted by
→
A
x. The vector y-component is a vector denoted by
→
A
y. In the Cartesian system, the x and y vector components of a vector are the orthogonal projections of this vector onto the x– and y-axes, respectively. In this way, following the parallelogram rule for vector addition, each vector on a Cartesian plane can be expressed as the vector sum of its vector components:
Step-by-step explanation:
Answer:
approximately 85 m
Step-by-step explanation:
use the law of cosines
x²=120²+90²-2(120)(90)cos(45)
*120 & 90 are given values
*45 is from 25+20; bcuz of alternate interior angles, the other angle from mirror 1 is 25 degrees, making the total 45 degrees
x=√120²+90²-2(120)(90)cos(45)
x=85, the distance btwn origin point and mirror 2
Bill purchased x hotdogs and y hamburgers at a baseball game. He spent a total of $10. A hotdog costs 3 dollars and a hamburger costs 4 dollars. Write a linear equation to represent the situation. How many hot dogs and hamburgers did Bill buy?
Answer:
Bill bought 2 hotdogs and 1 hamburger.
Step-by-step explanation:
If Bill spent $10 total, and a hotdog costs $3 while the hamburger costs $4, then find how many times 3 and 4 go into 10. 3 goes into ten 3 times, and 4 also goes into 10 3 times. but if it was 2 hamburgers and a hotdog, Bill would have spent $11. This is because 4+4=8 and if you add 3 you get 11. But if you do it the other way around, 3+3=6, and if you add 4 to 6 you get 10. Son your answer has to be 2 hotdogs and 1 hamburger, or, X=2 and Y=1.
The bottom one Staples has 9 cases of crayons with 1452 boxes in each case
Office Depot has 6 cases of crayons with 504 boxes in each cate
How many total boxes of crayons do both stores hove?
Answer:
d. 16,092
Step-by-step explanation:
Staples: 1452 x 9 = 13,068
Office Depot: 504 x 6 = 3,024
13,068 + 3,024 = 16,092
Samantha claims that 4x + 2 is equivalent to the expression x + 17 + 3x − 15. Check whether Samantha’s equivalent expression is correct using x = 2. Samantha is incorrect because when using x = 2, the resulting values in both expressions are different. Samantha is incorrect because the expressions cannot be checked using x = 2. Samantha is correct because when using x = 2, the resulting values in both expressions are equal.
Answer:
The correct answer is c
Answer:
Answer is c
Step-by-step explanation:
Your welcome
PLease help me for my homework hahaqhahahahahhahaha please
Answer
Step-by-step explanation:
rise over run so it'd be 3/3 positive or y= 3x-3
NEED HELP ASAP PLEASE!!!
An airplane is headed due south with an airspeed of 300 kph. A wind is blowing from the west at 120 kph. What is the ground speed and direction of the plane?
323 kph with a directional bearing of S 22° E
328 kph with a directional bearing of S 68° E
420 kph with a directional bearing of S 22° E
420 kph with a directional bearing of S 68° E
Answer:
a) 323 kph with a directional bearing of S 22° E
Step-by-step explanation:
to find the ground speed:
just do the pythagorean theorem.
c²=300²+120²
c²=104400
c=323
to find the directional bearing:
use the law of sines!
sin(90)/323 = sin(θ)/120
(*explanation: since the plane is heading due south and the wind is from due west, it makes a 90 degree angle; and the side opposite of the 90 degree angle is 323. set it equal to sin theta over 120; theta is the angle u r trying to find, and the side opposite of it is 120)
cross multiply:
120sin90=323sin(θ)
divide 323 on both sides:
sin(θ)=0.3715
use inverse sin to find out degree measure:
sin⁻¹(0.3715)=21.8
rounds up to 22.
The ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E. Therefore, option A is the correct answer.
To find the ground speed of the plane, we need to know what a vector is
What is a vector?
A vector is a variable that has both magnitude and direction.
Since the airplane is headed due south with an airspeed of 300 kph, its vector is V = (-300 kph)j.
Also, the wind is blowing from the west at 120 kph. Its vector is v = (-120 kph)i
Now, the ground speed of the plane V' is the resultant vector of the airspeed and wind speed.
What is a resultant vector?A resultant vector is the sum of two or more vectors.
So, V' = v + V
V' = (-120 kph)i + (-300 kph)j
So, its magnitude V' = √(x² + y²) where
x = -120 kph and
y = -300 kph.
So, V' = √[(-120 kph)² + (-300 kph)²]
= √[14400 kph² + 90000 kph²]
= √(104400 kph²)
= 323.11 kph
≅ 323 kph
The direction of the plane
Its direction, Ф = tan⁻¹(y/x)
Ф = tan⁻¹(-300 kph/-120 kph)
Ф = tan⁻¹(2.5)
Ф = 68.2°
From the South-line we have α = 90° - Ф = 90° - 68.2° = 21.8° ≅ 22°
So, the directional bearing of the plane is S22°E.
So, the ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E.
Learn more about the ground speed of a plane and direction here:
brainly.com/question/11861018
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Which model represents the product 6×34?
Answer:
204 is the answer
Step-by-step explanation:
204 is the answer
Paki heart nalang po kung nakatulong
Answer:
its the 3rd
Step-by-step explanation:
Find the slope of the line -7,-4 and -7,-2
Answer:
slope - x=-7
Step-by-step explanation:
Rounding Decimals 5.5252; ones
Answer:
6
Step-by-step explanation:
Identify the ones place and check the number to the right.
5.5252
Since we round up if the number to the right is greater than or equal to 5, and the number is a 5, we round up.
Therefore,
5.5252 ≈ 6
Hope this helps.