Step-by-step explanation:
Given-
5.1 km/hr
Relation bween mph and km :-
[tex]1 \: mph = 1.609 \: km[/tex]
So,
[tex] \frac{5.1 \: km}{1 \: h} \times \frac{1 \: km}{1.609} = 3.17 \: mph[/tex]
Therefore, the answer is 3.17 mph.
The following equation models a rock that is thrown upward from an elevation of 4.9 feet
at a speed of 63.2 feet per second. The variable h represents the height in feet, and
represents the time in seconds.
h= –1672 + 63.2t + 4.9
The rock reaches 50 feet on its way up, and again on its way down.
How long does it take the rock to reach 50 feet on its way down? Round your answer to 1
decimal places.
3.0 seconds
13.2 seconds
0.9 seconds
54.9 seconds
Answer:
3.0 seconds
Step-by-step explanation:
i took the test.
The time it takes the rock to reach 50 feet on its way down is 13.2 seconds and option B is the correct answer.
We have,
We are given the equation for the height of the rock as it travels upward and then downward:
h = -1672 + 63.2t - 4.9t²
We want to find the time it takes for the rock to reach a height of 50 feet on its way down.
This means we need to solve for t when h = 50:
50 = -1672 + 63.2t - 4.9t²
Rearrange the equation to isolate the quadratic term:
4.9t² - 63.2t + (1672 + 50) = 0
4.9t² - 63.2t + 1722 = 0
For an equation of the form "ax² + bx + c = 0", the solutions for "x" are given by:
x = (-b ± √(b² - 4ac)) / 2a
In your equation, the coefficients are:
a = 4.9
b = -63.2
c = 1722
Plugging these values into the quadratic formula:
t = (-(-63.2) ± √((-63.2)² - 4 * 4.9 * 1722)) / (2 * 4.9)
Now, let's calculate the discriminant (the value inside the square root):
Discriminant = (-63.2)² - 4 * 4.9 * 1722 ≈ 39884.96 - 33529.6 ≈ 6355.36
Since the discriminant is positive, there are two distinct real solutions for "t".
Now, plug the discriminant back into the quadratic formula and solve for "t":
t = (63.2 ± √6355.36) / 9.8
Now, calculate the square root of the discriminant:
√6355.36 ≈ 79.58
Now, plug in the values for "t":
t₁ = (63.2 + 79.58) / 9.8 ≈ 13.02
t₂ = (63.2 - 79.58) / 9.8 ≈ -1.69
So, the solutions for the equation 4.9t² - 63.2t + 1722 = 0 are approximately:
t₁ ≈ 14.61
t₂ ≈ -1.69 (rejected)
Thus,
The time it takes the rock to reach 50 feet on its way down is B. 13.2 seconds.
Learn more about equations here:
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To find simple interest, you multiply the principal (in dollars), the interest rate (as a decimal), and the time in years.
The equation 22.80 = 300 •019•4 shows how to find the simple interest for a certain account after 4 years. What
is the interest rate (as a percent)? How much is the simple interest? What is the principal?
What is the interest rate (as a percent)?
A. 1.9%
B. 22.80%
C. 0.019%
D. 300%
Here we have $400 originally and it is invested at an interest rate of 0.015 for 4 years.
Therefore we can say that the interest rate is 0.015 * 4 * 100 = 6% for the 4 years.
Simple interest is 6% / 4 = 1.5%.
And the principal is $400.
3. Find the difference. (1 point)
22.8 – 7.9 = ?
O 15.1
0 14.9
O 14.1
15.9
Find the complete factorization of
6x^3 - 15x^2 – 9x.
What is one of the factors of the complete fac-
torization of 6x^3 - 15x^2- 9x?
[tex]6x {}^{3} - 15x {}^{2} - 9x \\ 3x(2x {}^{2} - 5x - 3) \\ 3x( 2x {}^{2} + x - 6x - 3) \\ 3x(x(2x + 1) - 3(2x - 1) \\ (2x + 1)[/tex]
Hence, Proved ✔︎Answer:
the correct answer is D on edge 2020 for me.
Step-by-step explanation:
There are 6 triangles and 8 squares. What is the simplest ratio of triangles to total shapes?
Answer:
3:7
Step-by-step explanation:
The number of triangles is 6.
The number of squares is 8.
The total number of shapes is 14.
The unsimplified ratio of triangles to total shapes is 6:14.
The bigger number that both 6 and 14 can be divided by is 3.
That makes the ratio 3:7, and it cannot be simplified further.
which one is greater 16,400 or 1.64 times 10 to the 4th power.
Sorry it is confusing.
Answer: its the same amount
Step-by-step explanation:
Given that (9,2) is on the graph of f(x), find the corresponding point for the function f(-3/4x)
Answer:
(- 12 , 2)
Step-by-step explanation:
f(x) -> f(kx) |k| = |-3/4| = |- 0.75| = 0.75
0 < 0.75 < 1 , It's a horizontal stretch, (x,y) -> (x/k , y)
(9 , 2) -> (9 / (-3/4) , 2) -> (- 12 , 2)
A passenger train leaves the train station 5 hours after a freight train left the same station. The freight train is traveling 30 mph slower than the passenger train. Which equation helps to find the rate of each train, if the passenger train overtakes the freight train in three hours.
3r = 5(r - 30)
3r = 8(r - 30)
3r = 8(r + 30)
5r = 3(r - 30)
Answer:
first one
Step-by-step explanation: doesnt mention the number 8 variable anywhere
Answer:
A. 3r=5(r-30)
Step-by-step explanation:
on edge :)
17. What is .25 written in its simplest fraction form? A. 100/25 B.215 C. 14 D.444
Answer:
[tex]25 = \frac{25}{100} [/tex]
so answer is
[tex]a) \: \: \frac{25}{100} [/tex]
1. If the measures of two angles of a triangle are 19° and 80°, find the measure of the third angle.
19+80=180
99=180
180_99
81
7.486 to 7.5 Place value
Answer:
The tenths place
4 is in the tenths place of 7.486
Step-by-step explanation:
Can someone help me please
Answer:
Step-by-step explanation: NO SE INGLES
Help ME!!! This Homework is Confusing Me
Answer:
I think it is d or a. I might be wrong sorry
Step-by-step explanation:
Distributive property 79x36
Answer:
1(79 x 36)
Step-by-step explanation:
28. Suppose that the CPI in Year 1 is 150 and the CPI in Year 2 is 200. The rate of
inflation between Year 1 and Year 2 is:
a) 14.28%.
I b) 25%
c) 33.33%
d) 50%
The rate of inflation between year 1 and year 2, based on the CPI, is c. 33.33%.
The Consumer Price Index (CPI) allows us to calculate inflation. To find the inflation across these years, use the formula:
= (CPI₂ - CPI₁) / CPI₁ x 100%
Solving gives us:
= (200 - 150) / 150 x 100%
= 33.3%
In conclusion, the inflation is 33.3%.
Find out more at https://brainly.com/question/17329174.
what is the domain and range of (2)/(x^2-2x-3)?
Domain: All real numbers or (-infinity, infinity)
Range: [-8, infinity)
If I need to use 4/5 of a cup of strawberries for a single pie. How many cups are needed for 2 pie?
Question 3
1 pts
Find the unit rate. Round to the nearest hundredth, if necessary.
$32.05 for 15 gal
Question 4
1 pts
Answer:
$2.14 per gal.
Step-by-step explanation:
32.05/15 = 2.137 per gal
Answer This Please With explanation If You do I Will Mark Brainliest
Answer:
8)61.5 9)42.1
Step-by-step explanation:
8)61.5
area of square 10×10=100
circle=pie r^2
3.5^2×pie
=38.5
100-38.5=61.5
9)14×14=196
14/2=7
7=radius
pie×7^2
=153.9/2(because circle is half)
=76.95
76.95×2
=153.9
=196-153.9
42.1
MARK IT BRAINLIEST
Simplify the expression.
کے قر 125x
poter che correct answer.
Answer:
yz√5xy
Step-by-step explanation:
hope this helps
Write an equation (any form) for the quadratic graphed below:
Answer:
Quadratic equation in vertex form: y = 2(x + 3)²+ 0
Step-by-step explanation:
The vertex form of a quadratic equation is:
y = a (x - h)² + k where:
The value of a determines that the graph opens up or down. If a is positive, the graph opens up. The value of a also makes the parent function wider or narrower.
The vertex of the given parabola occurs at point (h, k) where the parabola intersects the axis of symmetry, x = h. It is also determines whether it is either the maximum or minimum point on the graph.
The quadratic equation of the graph in vertex form is: y = 2(x + 3)²+ 0
where:
a = 2
vertex (minimum point) = (-3, 0)
axis of symmetry: x = -3
Please mark my answers as the Brainliest if you find my explanations helpful :)
solve 1,828 divided by 56 using long division
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The quotient will be :
[tex]32[/tex]Remainder :
[tex]36[/tex]Solution is in attachment ~
Answer:
[tex]1828 \div 56 \\ = 32[/tex]
[tex]remainder = 36[/tex]
Please refer the attachment for step by step explanation
Hope this helps you.
Let me know if you have any other questions :-):-)
PLEASE HELP ME!! NO LINKS!!!! Part A
Answer:
1. y = 3x - 1
2. y = -3x
3. y = 2x + 4
4. y = 2.5x - 4
5. y = 4x
6. y = -3/4x -0.25
7. uhhh two lines since one definitlye doesn’t work
Step-by-step explanation: I couldn’t add more than 5 pics it’s the limit sadly.
What is the solution to the following equation?
-28 +6m = 6(m - 4) - 4
Answer:
0
Step-by-step explanation:
first we work out product of set b
6(m-4) = 6m -24
then reshow
-28+6m = 6m-24-4
-28 +6m -6m = 24-4
-28 =28
= 0
The table lists the average surface temperature of some planets.
Average Surface
Planet Temperature
(°C)
Mercury 167
Uranus
-197
Neptune -200
Earth
15
Mars
-65
Jupiter -110
Enter an inequality to compare the temperatures of Mercury and Mars.
Answer:
Mercury's temperature > Mars' temperature
Step-by-step explanation:
The average surface temperature on Mercury is 167 degrees C, and the average surface temperature on Mars is -65 degrees C. 167 is greater than -65, so Mercury > Mars.
The graph below shows four straight lines, A, B, C, and D: graph of line A going through ordered pairs negative 2, negative 3 and 2, 5. Graph of line B going through ordered pairs negative 2, negative 4 and 2, 4. Graph of line C going through ordered pairs negative 2, negative 5 and 3, 5. Graph of line D going through ordered pairs 0, negative 4 and 4, 4 Which line is represented by the function f(x) = 2x + 1? (1 point) Group of answer choices Line A Line B Line C Line D
Answer:
Line A is represented by the function f(x) = 2x + 1.
Step-by-step explanation:
the function G(x)=1+2sin(x+pi) is the result of the application of transformations in the original function F(x)=sin(x). which of the following options correctly describes the transformations applied to F(x)
Answer:
D. a vertical shift of 2 and a phase shift of pie/ 2
Step-by-step explanation:
Solve the following for x:
4x + y = z
a.x = z - y - 4
b.x = z/4
c.x = z-y/4
d.x = z+y/4
Explain
Answer:
[tex]x = \frac{1}{4} z - \frac{1}{4} y[/tex]
Step-by-step explanation:
4x + y = z
4x = z - y
x = 1/4z - 1/4y
The cost of bananas varies directly with their weight. Miguel bought
3 1/2 pounds of bananas for $1.12. Write an equation that relates the cost of the bananas
to their weight. Then find the cost of 4 1/4 pounds of bananas
y= k x
c= k p
1.12 = k(3.5)
0.32 = k
y = 0.32x or c = 0.32p
y = 0.32x
y = 0.32(4.25)
y = $1.36
Find the volume of the prism.