A car travels at a steady speed. It covers 60km in 40 minutes. How far will it travel in 3 hours, assuming it continues at the same rate?
Answer:
270km
Step-by-step explanation:
3 hours is 180 minutes
40 minutes - 60km
180 minutes - x km
x = 180/40 * 60 = 270km (the speed is 90km/h)
The drone in the Example hovers at 16 meters for a few minutes before being
lowered at a constant rate. It reaches the ground after 6 seconds.
a. Why can the drone's descent be modeled by a linear function?
The drone's descent can be modeled by a linear function as the rate of descent is constant.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change.b is the intercept, representing the value of y when x = 0.For this problem, we have that the drone descended 16 meters in 6 seconds, hence the slope m is given as follows:
m = -16/6 = 2.67 m/s.
As the slope is constant, a linear function can model the situation.
More can be learned about linear functions at https://brainly.com/question/24808124
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Name the angle pairs that are vertical angles.
Select all angle pairs that are vertical angles.
A. ∠F and ∠L
B. ∠E and ∠N
C. ∠R and ∠V
D. ∠Y and ∠W
Answer:
A and C
Step-by-step explanation:
Vertical angles are angles that are created when two lines cross. They are angles opposite from each other. (another way of saying it:) Vertical angles are angles opposite each other where two lines cross.
Hope this helps! :)
QUESTION 8 of 10: Juanita, the stadium manager, spends $10,000 on a broadcast TV ad, $15,000 on a cable TV ad, and $4,000 on a radio ad
What percentage of radio advertising did she do? (Round to the nearest percent.)
Answer: 13.79%
Step-by-step explanation:
Amount spent on broadcast TV advertisement = $10000
Amount spent on cable TV advertisement = $15000
Amount spent on radio advertisement = $4000
Total amount spent advertisement = $10000 + $15000 + $4000 = $29000
The Percentage of radio advertisement done will be:
= (Amount spent on radio advertisement / Total amount spent advertisement ) × 100
= (4000 / 29000) × 100
= 13.79%
HEEEEEELPPPPPPP!!!!!!!
Answer:
true
Step-by-step explanation:
What is the simple interest on $450 at 7% for 2 years?
Answer:
I = $220.50
Step-by-step explanation:
Simple Interest Formula is I = prt
P= Principal $450
R= Rate 0.07
T= Time 7 years
I = (450)(0.07)(7)
I= $220.50
Which one is it ? I need help
1. 60
2. 55
3. 65
4. 180
Answer:
55
Explanation:
Si el precio de un artículo que es $800.000 se aumenta en su cuarta parte, y el nuevo precio se disminuye en su cuarta parte. ¿Cuál es su precio final? Explica el procedimiento
Respuesta:
$ 750 000
Explicación paso a paso:
Precio original = $ 800,000
Si el precio original se incrementa en una cuarta parte;
(800.000 + 1/4 * 800.000) = 800.000 + 200.000 = $ 1.000.000
Nuevo precio = $ 1,000,000
Si el nuevo precio se reduce en un cuarto;
1.000.000 - 1/4 (1.000.000)
1.000.000 - 250.000
= $ 750 000
El precio final es de $ 750.000
Two similar cylinders have heights of 3 cm and 6 cm respectively. If the volume of the smaller cylinder is 30 cm3, find the volume of the larger cylinder.Required to answer. Single line text.
Answer:
Volume of big cylinder = 1,438.76 cm (Approx.)
Step-by-step explanation:
Given:
Height of smaller cylinder = 3 cm
Height of big cylinder = 6 cm
Volume of smaller cylinder = 30 cm³
Find:
Volume of big cylinder
Computation:
Volume of smaller cylinder = πr²h
(22/7)(r²)(3) = 30
Radius of small cylinder = 1.783 cm (Approx.)
So,
Radius of big cylinder = 1.783 x 2 = 3.566 cm (Approx.)
Volume of big cylinder = πr²h
Volume of big cylinder = (22/7)(3.566)²(6)
Volume of big cylinder = 1,438.76 cm (Approx.)
PLEASE HELP!! WILL GIVE LOTS OF POINTS Which of the following functions shows the absolute value parent function,
F(x) = |x|, vertically stretched
Answer:
D
Step-by-step explanation:
vertically stretched is on the outside of the |x| and has to be grater than 1
What is the value of the missing angle
Answer:180
Step-by-step explanation:
Which line segment is an altitude of ΔVWY?
Answer:
x
Step-by-step explanation:
just trust I know the x is the altitude
Calculate the surface area of the square pyramid below.
yd2
Answer:
155
Step-by-step explanation:
Help W algebra!!(logs!)
Suppose you want to buy a $151,000 home. You found a bank that offers a 30-year loan at 4.7% APR. What will be your monthly payment? (Round to the nearest cent.)
Answer:
the monthly payment is $783
Step-by-step explanation:
The computation of the monthly payment is shown below:
Given that
PV = $151,000
NPER = 30 × 12 = 360
RATE = 4.7% ÷ 12 = 0.39166
FV = $0
The formula is shown below
= PMT(RATE;NPER;-PV;FV;TYPE)
AFter applying the above formula, the monthly payment is $783.14
Help!!! I will give you a follow
Answer:
Red
Step-by-step explanation:
Let x = number of laps and Let y = time taken to complete laps
She is able to run one lap in 7 minutes
Given this information we want to create an equation
the equation would be
7x = y
Now that we have created an equation we want to find how many laps she can run in 56 minutes.
The time is represented by 7 so we plug in 56 into y
so now we have
7x = 56
Finally we solve for x
*divide each side by 7*
56/7 = 8
7x / 7 = x
we're left with x = 8 meaning that she can run 8 laps in 56 minutes
In conclusion the answer is the Red one
Write a polynomial equation for a graph that passes through the point (-1, 60) and has three x-intercepts: (-4,0),
(1, 0), and (3, 0)
Given:
A graph of a polynomial passes through the point (-1, 60) and has three x-intercepts: (-4,0), (1, 0), and (3, 0).
To find:
The equation of the polynomial.
Solution:
A polynomial is defined as:
[tex]P(x)=a(x-c_1)(x-c_2)...(x-c_n)[/tex]
Where, a is a constant and [tex]c_1,c_2,...,c_n[/tex] are the zeros of the polynomial.
The given polynomial has three x-intercepts (-4,0), (1, 0), and (3, 0). It means [tex]-4,1,3[/tex] are the zeroes of the given polynomial and [tex](x+4),(x-1),(x-3)[/tex] are the factors of the given polynomial.
So, the equation of the polynomial is:
[tex]P(x)=a(x+4)(x-1)(x-3)[/tex] ...(i)
It passes through the point [tex](-1,60)[/tex].
[tex]60=a(-1+4)(-1-1)(-1-3)[/tex]
[tex]60=a(3)(-2)(-4)[/tex]
[tex]60=24a[/tex]
Divide both sides by 24.
[tex]\dfrac{60}{24}=a[/tex]
[tex]2.5=a[/tex]
Putting [tex]a=2.5[/tex] in (i), we get
[tex]P(x)=2.5(x+4)(x-1)(x-3)[/tex]
Therefore, the equation of the given polynomial is [tex]P(x)=2.5(x+4)(x-1)(x-3)[/tex].
Greyson reads 36 1/3 pages in 40 minutes, or 2/3 of
an hour. At this rate, how many pages can he read
in one hour?
Answer:
18 1/6+31 1/3= 49 1/2 pages in one hour.
Step-by-step explanation:
Hope this help and have a wonderful day!!!
HELPPPPP PLEASE!!!!
Factoring Trinomials X2-4x+24
Answer:
it shouldn't be able to be solved but it depends on your teacher
Step-by-step explanation:
can some 1 answer this pls
Answer:
you are right
Step-by-step explanation:
x²-2x-8≠0
⇒ (x-4)(x+2)≠0 ⇒ x≠-2 x≠4
George decided to use blue paint to paint a wall with two windows. The wall is 12 7 8 ft by 8 ft. Both windows are 3 1 2 ft by 4 1 2 ft rectangles. Can someon egive me an answer as a whole number not a fracction Please.
58
Find the volume of a prism. The area of the hexagonal base is
m2. Its height is 7
tan30°
m. If necessary, round your answer to the nearest hundredth.
The volume of the prism is about
m?
please help !
Answer:
I dont think this is the right answer but 8.256
Step-by-step explanation:
Find the values of x and y. Write your answers in simplest form.
Step-by-step explanation:
You have this rule, if there is < 30° then value of y is
y=12✓3:2
y=6√3
And Pitagora's theorem:
c²=a²+b²
In this case:
(12√3)²=y²+x²
Then x is:
x²= (12√3)²-y²
x²= (12√3)²-(6√3)²
x²=432- 108
x²= 324
x=✓324
x=18cm
2.
Do the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table.
inverse variation; xy = 12
inverse variation; [tex]\frac{y}{x} =12[/tex]
direct variation; y = 12x
direct variation; [tex]y=\frac{12}{x}[/tex]
Answer: Other Answers..
SHOW ANSWER
6*2 =12
4*3 = 12
12*1 = 12
answer is B inverse variation xy=12
...............................................................................................................................................
Step-by-step explanation: Brainly answers.. -_-
6*2 =12
4*3 = 12
12*1 = 12
answer is B inverse variation xy=12
...............................................................................................................................................
Answer:
The correct option is B.
Step-by-step explanation:
From the given table it is notices that the value of y decreases as x increases, therefore it is an inverse variation.
The inverse variation is defined as
Where, k is constant of proportionality.
From the given table it is clear that the value of y is 6 at x=2.
The value of k is 12. So, the required model is
Therefore, the correct option is B.
Answer: B
Step-by-step explanation:
What is the inverse you would use to solve this problem: c/2=16
Answer:
multiplication
Step-by-step explanation:
Jennifer is buying party supplies. She is planning on buying twice as many balloons as noisemakers. The number of napkins Jennifer is planning on buying is one-quarter of the number of noisemakers. If Jennifer buys 65 items, how many noisemakers does Jennifer buy? Write and solve an equation using a variable for this problem. <3
(trying to finish all my hw today since I have irl school starting tomorrow, I'm going to a new school:(
NO LINKSS
Answer:
20 noisemakers; 40 balloons; 5 napkins
Step-by-step explanation:
n = noisemakers amount
b = balloons amount
k = napkins amount
n/4 = k
b = 2n
b + n + k= 65
plug first and second equation into the respected variables in the 3rd equation so:
2n + n + n/4 = 65
multiple both sides by 4 to get rid of fraction
4(2n + n + n/4) = 4*65
8n + 4n + n = 260
13n = 260
n = 20
use n = 13 to get the other variables
b = 2(20)
b = 40
(20)/4 = k
k = 5
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Input(x) Output(y)
32 20
14 2
? −6
-2 -14
-10 ?
Complete the function table and write the function rule.
The function rule is f(x) = x - 12 and the complete table is
Input(x) Output(y)
32 20
14 2
6 −6
-2 -14
-10 -22
Completing the function table and write the function rule.From the question, we have the following parameters that can be used in our computation:
Input(x) Output(y)
32 20
14 2
? −6
-2 -14
-10 ?
The slope is calculated as
m = (2 - 20)/(14 - 32)
m = 1
So, the equation is
y = mx + c
Using the points, we have
1(32) + c = 20
Evaluate
c = -12
So, we have
f(x) = x - 12
Using the above function, we have the following function values
f(-10) = -10 - 12 = -22
x - 12 = -6
x = 6
So, the complete table is
Input(x) Output(y)
32 20
14 2
6 −6
-2 -14
-10 -22
Read more about linear relation at
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Un distribuidor debe repartir 879 botellas de cerveza entre 3 bares. Si el pedido del bar A es la mitad que el del bar B y la cuarta parte del bar C. ¿Cuántas botellas le tocan a cada bar?
Answer:
Total number of bottles Bar A get = 126
Total number of bottles Bar B get = 251
Total number of bottles Bar C get = 502
Step-by-step explanation:
Given - A distributor must distribute 879 bottles of beer among 3 bars. If the order of bar A is half that of bar B and a quarter of bar C.
To find - How many bottles do each bar get?
Proof -
Let us assume that
Total number of bottles Bar A get = x
Total number of bottles Bar B get = y
Total number of bottles Bar C get = z
Now,
Given that
Total bottles distributed = 879
⇒x + y + z = 879 ..............(1)
Now,
Given that, the order of bar A is half that of bar B and a quarter of bar C
⇒x = [tex]\frac{1}{2}y[/tex] , x = [tex]\frac{1}{4} z[/tex]
⇒y = 2x .............(2)
z = 4x ..............(3)
Now,
Put the values of y and z in equation (1), we get
x + 2x + 4x = 879
⇒7x = 879
⇒x = [tex]\frac{879}{7}[/tex] = 125.57
⇒y = 2(125.57) = 251.14
⇒z = 4(125.57) = 502.28
∴ we get
Total number of bottles Bar A get = x = 125.57 ≈ 126
Total number of bottles Bar B get = y = 251.14 ≈ 251
Total number of bottles Bar C get = z = 502.28 ≈ 502
Can someone please tell me the answers
Answer:
A is the correct answer. pls mark me brainliest
PLEASE HELP I GIVE BRAINLIEST
B)é a reposta