Answer:
5: 4
Step-by-step explanation:
original ratio: 3:5
new ratio: 5:4
hope it helps!
Simon drove through some roadworks where the speed limit was 50 mph. Two cameras recorded the time taken to travel 1200 m through the roadworks as 56 seconds . Was Simon speeding through the roadworks ?
Answer:
[tex]Speed = 21.43m/s[/tex]
Step-by-step explanation:
Given
[tex]Distance = 1200m[/tex] -- of the roadworks
[tex]Time\ Recorded = 56s[/tex]
Required
Determine the speed
In this case:
[tex]Speed = \frac{Distance\ of\ Roadword}{Time\ Captured}[/tex]
[tex]Speed = \frac{1200m}{56s}[/tex]
[tex]Speed = 21.43m/s[/tex] --- approximated
Solve the equation: 342 = 2x - 8. Show your reasoning.
Answer:
x = 175
Step-by-step explanation:
Add 8 on both sides to get 350 = 2x. Divide 2 on both sides to get your x value which is 175.
Jeremy can row 1 3 of a mile in 1 4 of an hour. What is the unit rate?
Answer:
The unit rate that Jeremy can row is 1.33 miles per hour.
Step-by-step explanation:
Unit rate is defined as the distance over a time period. The distance that Jeremy can row is given and the time period is given.
The distance (miles)=1/3=0.3333333...
time period: 1/4
0.33333/0.25=1.333333
Need help please!!!!!!!
Answer:
First Option {-2 , 0 , 2}
Step-by-step explanation:
A critical point occurs when the derivative is 0 or undefined.
The function in the question is undefined at x = 2 and at x = -2 because if we put x = 2 or x = -2 the denominator becomes 0 hence anything divided by 0 is undefined, and the derivative equals 0 at x = 0 so the critical points are
{-2 , 0 , 2}
Use the quotient rule to find the derivative of the function then equal it to zero
[tex]y=\frac{x^2-1}{x^2-4}\\\\\frac{dy}{dx}=\frac{(x^2-4)(2x)-(x^2-1)(2x)}{(x^2-4)^2}\\\\0=\frac{(x^2-4)(2x)-(x^2-1)(2x)}{(x^2-4)^2}\\\\0=2x^3-8x-2x^3+2x\\0=-6x\\x=0[/tex]
Which function describes the arithmetic sequence shown? 1, 7, 13, 19, 25, 31
Answer:
D=6
Step-by-step explanation:
common defence is 6
hope it help you
Plz help me I really need it
Answer:
i think [after solving] that it is option B and C
Step-by-step explanation:
HELP ASAP!!!!!!!! PLSSSSSSS HURRY!!!
Consider the function f(x) = 6 sine (x minus StartFraction pi Over 8 EndFraction) + 8. What transformation results in g(x)6 sine (x minus StartFraction 7 pi Over 16 EndFraction) + 1?
A.) Translate StartFraction 5 pi Over 16 EndFraction units left and 7 units up.
B.) Translate StartFraction 5 pi Over 16 EndFraction units right and 7 units up.
C.) Translate StartFraction 5 pi Over 16 EndFraction units left and 7 units down.
D.) Translate StartFraction 5 pi Over 16 EndFraction units right and 7 units down.
Answer:
D
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
used graphing calculator
Winston wants to put some very thick books on his bookshelf. Each book is 3 inches
thick. His bookshelf is 16 inches wide. How many thick books can he put on the
bookshelf? (There will be space left over.)
5
1
15
6
someone please help
9514 1404 393
Answer:
{0, 1, 2, 3}
Step-by-step explanation:
The domain is the set of function input values. Here, they are labeled x values. The set of the is {0, 1, 2, 3}.
The domain is {0, 1, 2, 3}.
Can someone help me with letter D?
Answer:
1.5 times greater because the ratio of triangle ABC to triangle DEF is 2:3
Step-by-step explanation:
Answer:
1.4 times is the correct answer
Anybody know the RIGHT answer?
Given:
The table shown the number of campers, x, at a local campsite and the total amount of money, y, in dollars, earned by the camp site.
To find:
The unit for the rate of change.
Solution:
We know that, rate of change is the change in y-values with respect to x-values, i.e.,
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
In the given problem, y is the total earnings in dollars and x is the number of campers. So, the rate of change represents the change is earnings with respect to number of campers.
Thus, the unit of rate of change is dollars per camper.
Therefore, the correct option is D.
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
4x-12y = -84
Answer: x-3y+21=0
Step-by-step explanation:
move the constant to the left then divide both sides then booom
Plzzz I need help with this question I tried to solve it many times but I can't
Let x represents a length in cm where x > 1.5.
AB = 2x – 3, BC = 4x – 6,
AD = 2x + 3 and BE = 4x +1
• ABC is right triangle of area Sj.
• CBFG is a rectangle of area S2.
. ADEB is a right trapezoid of area S3.
1) Express S1, S2 and S3 in terms of x.
2) Let S = Si + S2 - Sz.
a) Show that S = (2x - 3)(5x - 9).
b) For what values of x, the areas of AFGC and ADEB are equal?
c) Expand and reduce S.
d) What is the value of x, so that the area of AFGC exceed the area of ADEB by 27?
Answer and Step-by-step explanation: Area of a right triangle, (as any other triangle), is calculated as: [tex]A1=\frac{(base)(height)}{2}[/tex]
Area of a rectangle is calculated as: [tex]A2=(side)(side)[/tex]
Area of a right trapezoid is: [tex]A3=\frac{(a+b)h}{2}[/tex], where:
a is short base
b is long base
h is height
1) Expressing areas in terms of x:
Area of triangle S1:
[tex]S1=\frac{(2x-3)(4x-6)}{2}[/tex]
[tex]S1=4x^{2}-12x+9[/tex]
Area of rectangle S2:
[tex]S2 = (4x-6)(3x-2)[/tex]
[tex]S2=12x^{2}-26x+12[/tex]
Area of trapezoid S3:
[tex]S3=\frac{(2x+3+4x+1)(2x-3)}{2}[/tex]
[tex]S3=\frac{(6x+4)(2x-3)}{2}[/tex]
[tex]S3=6x^{2}-5x-6[/tex]
2) a) [tex]S=4x^{2}-12x+9+12x^{2}-26x+12-(6x^{2}-5x-6)[/tex]
[tex]S=4x^{2}-12x+9+12x^{2}-26x+12-6x^{2}+5x+6[/tex]
[tex]S=10x^{2}-33x+37[/tex]
Which is the same as S = (2x-3)(5x-9)
b) For the areas to be the same:
[tex]\frac{(3x-2+3x-2+2x-3)(4x-6)}{2}=\frac{(6x+4)(2x-3)}{2}[/tex]
[tex]\frac{(8x-7)(4x-6)}{2}=\frac{(6x+4)(2x-3)}{2}[/tex]
[tex]32x^{2}-48x-28x+42=12x^{2}+8x-18x-12[/tex]
[tex]20x^{2}-66x+54=0[/tex]
Using Bhaskara to solve the second degree equation:
[tex]\frac{66+\sqrt{(-66)^{2}-(4.20.54)} }{2(20)}[/tex]
[tex]x_{1}=\frac{66+6}{40}[/tex] = 1.8
[tex]x_{2}=\frac{66-6}{40}[/tex] = 1.5
For the areas of AFGC and ADEB to be equal, x has to be 1.5 or 1.8.
c) Expand a polynomial (or equation) is to multiply all the terms, remiving the parenthesis. Reduce a polynomial (or equation) is to combine terms alike,e.g.:
[tex]S=(2x-3)(5x-9)[/tex]
[tex]S=10x^{2}-18x-15x+27[/tex] (expand)
[tex]S=10x^{2}-33x+27[/tex] (reduce)
d) For area of AFCG to be bigger than area of ADEB by 27:
[tex]32x^{2}-48x-28x+42=12x^{2}+8x-18x-12+27[/tex]
[tex]32x^{2}-48x-28x+42=12x^{2}+8x-18x+15[/tex]
[tex]20x^{2}-66x+27=0[/tex]
Solving:
[tex]\frac{66+\sqrt{(-66)^{2}-(4.20.27)} }{2(20)}[/tex]
[tex]\frac{66+46.86}{40}[/tex]
[tex]x_{1}=\frac{66+46.86}{40}=[/tex] 2.82
[tex]x_{2}=\frac{66-46.86}{40}[/tex] = 0.48
According to the enunciation, x cannot be less than 1.5, then, the value of x so that area AFGC exceeds the area ADEB by 27 is 2.82
did you hear about the kidnapping?
he woke up
Answer:
69,420
Step-by-step explanation:
._. you stole the egg from the chicken didn't you
he woke up bc you threw the egg at his face
kid + napping... ok i get it now im slow
What is the length of the hypotenuse in the triangle below?
A right triangle is shown. 2 sides have lengths of 14 centimeter. The length of the hypotenuse is unknown.
Answer:
your answer will be 14 square root 2cm :)
Step-by-step explanation:
Just got done with the pretest this is correct also known as answer B!
The required length of the hypotenuse is 14√2.
The 2 sides of the right angle triangle are known i.e. 14 centimeters. Length of the hypotenuse to be determined.
The right angle triangle is defined as which contains at least one angle of 90°.
Here, other two side of hypotenuse is 14 centimeter.
Hypotenuse = [tex]\sqrt{14^2+14^2}[/tex]
= [tex]14\sqrt{2}[/tex]
Thus, the required length of the hypotenuse is 14√2.
Learn more about right angle triangle here:
https://brainly.com/question/3770177
#SPJ2
The number 7.2 can be classified as:
a. real and rational
b. real and irrational
c. real and integer
d. real and whole
A submarine is descending to examine the seafloor 2,100 feet below the surface. It took the submarine 8.75 hours to reach the seafloor. What is the submarines rate of descent in feet per hour?
Answer:
240 feet per hour
Step-by-step explanation:
Given that:
Submarine is descending for examining the sea floor.
Distance of sea floor from the surface = 2100 feet
Time taken for the descend = 8.75 hours
To find:
The rate of descent in feet per hour = ?
Solution:
Here, we are given the distance traveled in feet and the time taken to travel that distance in hours.
And we have to find nothing but the speed of the submarine.
First of all, let us have a look at the relationship among speed, distance and time.
[tex]Speed = \dfrac{Distance}{Time}[/tex]
Putting the values of distance and time.
[tex]Speed = \dfrac{2100}{8.75}\\\Rightarrow Speed = \bold{240\ feet/hr}[/tex]
HELP
Please
Please
im failing
Answer:
6.9
7.-5
8.-10
Step-by-step explanation:
a mat is 3m long and xm wide what is the area in m²
Step-by-step explanation:
Area = Length * Width = (3m)(xm) = 3xm².
The graph represents function 1 and the equation represents function 2:
A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3.
Function 2
y = 3x + 1
How much more is the rate of change of function 2 than the rate of change of function 1? (5 points)
1
2
3
4
Answer:
The rate of change of function 1 = 0The rate of change of the function 2 = 3Therefore, the rate of change of function 2 is 3 more than the rate of change of function 1.
Hence, option C is true.
Step-by-step explanation:
Function 1
A horizontal straight line is drawn joining the ordered pairs (0, 3) and (4, 3).
Given the points
(0, 3)(4, 3)It means
at x = 0, y = 3
at x = 4, y = 3
Since the y-values are same, it means the points lie on a horizontal.
The rate of change or slope of a horizontal line is zero because it does not rise vertically ( i.e. y₁ - y₂ = 0).
Therefore, the rate of change of function 1 = 0
Function 2
y = 3x+1
comparing with the slope-intercept form
y = mx+b
here m is the rate of change or slope and b is the y-intercept
so the rate of change of the function 2 = m = 3
Conclusion:
The rate of change of function 1 = 0The rate of change of the function 2 = 3Therefore, the rate of change of function 2 is 3 more than the rate of change of function 1.
Hence, option C is true.
Work out the size of angle A
Answer:
size of angle A is 93.19°
write a function G whose graph represents the indicated transformation of the graph f
[tex]f(x) = \frac{2}{3} {x}^{2} + 2[/tex]
vertical stretch by a factor of 3
Answer:
[tex]G(x) = 2x^2+6[/tex].
Step-by-step explanation:
The given function is
[tex]f(x) = \frac 2 3 x^2 +2[/tex]
On vertical stretch by a factor of 3, the new function G(x) is
G(x) = 3 f(x)
So, [tex]G(x) = 3 \times ( \frac 2 3 x^2 +2)= 2x^2+6[/tex]
Hence, the required function is [tex]G(x) = 2x^2+6[/tex].
Which company has the highest charge per attendee?
Step-by-step explanation:
As an event planner, you may have noticed the steadily increasing online event registration fees. Moreover, many people are anticipating the next economic crisis is coming soon. It may trigger you to think about looking for a new registration system that’s affordable yet still flexible and easy to use.
So we are here to help you search for the best option for your event registration. Start by going through our checklist so you can understand what to look for. Then, check the pricing comparisons of the top 7 online event registration software options out there, so you can browse them side by side to find the best one for you. Save time (and money!) and find the perfect online event registration for your next event.
Find each missing angle measure
3=
4=
Answer:
<4 = 88
<3 = 92
Step-by-step explanation:
The sum of the angles of a triangle is 180
<4 + 45+ 47 = 180
<4 + 92 = 180
< 4 = 180-92
<4 = 88
We know the <3 and <4 form a line
<3 + <4 = 180
<3 + 88 = 180
< 3 = 180-88
<3 = 92
2x +18 = 9x + 14 for x.
Answer:
X= 4/7
Step-by-step explanation:
I used a calculator :)
Determine the number of lines of symmetry for the figure.
Answer:
theres 26 lines of symmetry i think....hope this helps:)
Solve for x
6.78x - 5.2 = 4.33x + 2.15
HELPPP
Answer:
x = 3
Step-by-step explanation:
6.78x - 5.2 = 4.33x + 2.15
6.78x - 4.33x = 5.2 + 2.15
2.45x = 7.35
x = 7.35/2.45
x = 3
Thus, The value of x is 3
-TheUnknownScientist
50KM into CM.Full step pls
Answer:
Step-by-step explanation:
1km = 100000cm
50 km = 50 x 100000 = 5000000cm
Evaluate the expression.
m xn, when m
13 and n = 12
Answer:
[tex]m \times n \\ when \: m = 13 \: and \: n = 12 \\ = 13 \times 12 \\ = 156[/tex]
a council reviews the amount of bedrooms in 40 houses located in the same area. this table shows the information gathered
a) find the modal average of bedrooms
b) work out the mean average of bedrooms
number of bedrooms: frequency:
1 ---------------------------------5
2------------------------------- 10
3 -------------------------------15
4 --------------------------------7
5 --------------------------------3
Answer:
A. 3
B. 2.825
Step-by-step explanation:
Data obtained from the question include:
Number of bedrooms (x) > Frequency(f)
1 >>>>>>>>>>>>>>>>>>>>> 5
2 >>>>>>>>>>>>>>>>>>>> 10
3 >>>>>>>>>>>>>>>>>>>> 15
4 >>>>>>>>>>>>>>>>>>>> 7
5 >>>>>>>>>>>>>>>>>>>> 3
Mode =?
Mean average of bedrooms =.?
A. Determination of the modal average of bedroom.
The mode of a given set of data is the the value with the highest frequency.
Considering the table given in the question above, we can see clearly that 3 has the highest frequency. Hence 3 is the modal average of the bedroom is 3
B. Determination of the mean average of bedroom.
Mean = Σfx / Σf
Σfx = (1×5) + (2×10) + (3×15) + (4×7) + (5×3)
Σfx = 5 + 20 + 45 + 28 + 15
Σfx = 113
Σf = 5 + 10 + 15 + 7 + 3
Σf = 40
Mean = Σfx / Σf
Mean = 113 / 40
Mean = 2.825
Therefore, the mean average of bedroom is 2.825