==============================================
Work Shown:
1/10 = 0.1
0.1 mile = 7.2 seconds
1 mile = 72 seconds (multiply both sides by 10)
1/72 mile = 1 second (divide both sides by 72)
3600/72 = 3600 seconds (multiply both sides by 3600)
50 miles = 3600 seconds
50 miles = 1 hour
The car's speed is 50 mph
Note: 1 hour = 60 min = 60*60 = 3600 seconds
The number of fish (f) in a fish tank increases when the number of algae blooms (a) decreases. Write the correct equation for this scenario, and solve for the number of fish when there are 4 algae blooms. Algae Blooms Fish 10 10 25 4
Answer:
f = -2/5a +1412.4 ≈ 12 fish for 4 algae bloomsStep-by-step explanation:
The 2-point form of the equation for a line is useful when you are given two points to work with:
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
The independent variable (x) is apparently "algae blooms" and is to be represented by "a". The dependent variable (y) is "number of fish" and is to be represented by "f". So, we have ...
f = (4 -10)/(25 -10)(a -10) +10
f = -6/15(a -10) +10
f = -2/5a +14 . . . an equation for the scenario
Four a=4, the fish population is predicted to be ...
f = -2/5(4) +14 = 12.4
There will be about 12 fish when there are 4 algae blooms.
The points S, T, U and V all lie on the same line segment, in that order, such that the
ratio of ST : TU: UV is equal to 6:2:3. If SV = 22, find TV.
==============================================
Explanation
Let x be some positive real number such that
ST = 6xTU = 2xUV = 3xleading to the ratio
ST:TU:UV = 6x:2x:3x = 6:2:3
Note how I effectively started with 6:2:3 and multiplied all parts of the ratio by x to get 6x:2x:3x
-----------------
The parts of the ratio add up to the longest segment SV
ST+TU+UV = SV
6x+2x+3x = 22
11x = 22
x = 22/11
x = 2
Therefore,
ST = 6x = 6*2 = 12TU = 2x = 2*2 = 4UV = 3x = 3*2 = 6Note how ST+TU+UV = 12+4+6 = 22, which is the length of SV. This helps confirm we have the correct x value.
-----------------
The last step is to find the length of TV
TV = TU+UV
TV = 4+6
TV = 10
Or you could do
ST + TV = SV
12+TV = 22
TV = 22-12
TV = 10
please answer this question
Answer:
(a+2)/(a-1)
Step-by-step explanation:
[(a^2+5a+6)/(a^2-1)]/[(a^2-9)(a^2-2a-3)]
[(a^2+5a+6)/(a^2-1)]*[(a^2-2a-3)(a^2-9)]
[(a^2+3a+2a+6)/(a-1)(a+1)]*[(a^2-3a+a-3)/(a-3)(a+3)]
[a(a+3)+2(a+3)/(a-1)(a+1)]*[(a(a-3)+1(a-3)/(a-3)(a+3)]
[(a+2)(a+3)/(a-1)(a+1)]*[(a+1)(a-3)/(a-3)(a+3)]
=(a+2)/(a-1)
Pls check is there any mistake. If yes pls inform me
Use the figure to name the following terms.
1.Name 3 collinear points.
2.What is another way to name plane V.
3.Name 3 segments.
4.Name 2 rays.
5.Name 5 liness.
Answer:
1. Three collinear points are R, X, and Q
2. Plane V is a quadrilateral
3. The three segments are PQ, RX, and XQ
4. The two rays are Xr and QS
5. The five lines (each taken alone) are Xr, QS, PQ, RX, and XQ
Step-by-step explanation:
1. Collinear points are points that lie in or can be located on the same line
2) A quadrilateral is a four sided two-dimensional shape
3) A line segment is a line portion between two end points
4) A ray is a line with one end point that extends to infinity in a direction
5) A line is a one dimensional straight geometric figure that extends to infinity in both directions.
Trigonometry help? Please answer 4.5,6 for me if u can! Tysm
Answer:
4) d = 60; e = 90
5) f = 30
6) h = 120
Step-by-step explanation:
4)
d + d + d = 180
3d = 180
d = 60
e + e + e + e = 360
4e = 360
e = 90
5)
70 + (180 - 100) + f = 180
70 + 80 + f = 180
f = 30
6)
45 + 75 + (180 - h) = 180
300 - h = 180
-h = -120
h = 120
Simplify (3−10)^2−(5−12)^2
Answer:
0
Step-by-step explanation:
(3−10)^2 − (5−12)^2
(3−10)^2 = 49
(5−12)^2 = 49
49 - 49 = 0
Answer: 0
Step-by-step explanation:
3-10= -7. -7^2=49
5-12=-7. -7^2=49
49-49=0
*PLEASE ANSWER THANK YOU* A toy rocket is a composite of a cylindrical body with a cone for a nose. Find the volume of the rocket if the radius of the base is 1.25 inches, the height of the tip is 3 inches, and the height of the entire rocket is 15 inches. a.) 176.6 in3 b.) 56.3 in3 c.) 58.9 in3 d.) 63.8 in3
Answer:
Volume of toy = 63.8 in² (Approx)
Step-by-step explanation:
Given:
Height of cone (h) = 3 in
Height of cylinder (H) = 15 - 3 = 12 in
Radius (r) = 1.25
Find:
Volume of toy
Computation:
Volume of cylinder = πr²H
Volume of cylinder = (22/7)(1.25)(1.25)(12)
Volume of cylinder = 58.92 in²
Volume of cone = (1/3)πr²h
Volume of cone = (1/3)(22/7)(1.25)(1.25)(3)
Volume of cone = 4.91 in²
Volume of toy = Volume of cylinder + Volume of cone
Volume of toy = 58.92 in² + 4.91 in²
Volume of toy = 63.8 in² (Approx)
4x - y = -7
-8x + 4y = 12
Elimination
Answer:
(x,y)=(-2,-1)
Step-by-step explanation:
4x - y = -7: 8x-2y=-14
8x-2y=-14
-8x + 4y = 12
add these two:
2y=-2
y=-1
plug in the y:
-8x-4=12
-8x=16
x=-2
Renee wants to put a fence around her
square garden that has an area of
6,500 square feet. Determine the
perimeter of the garden to the nearest
tenth of a foot.
Answer:
320 "if rounded"
Step-by-step explanation: you find out what number times itself equals 6500 which is 80.623 "rounded to 80" then you add up all the sides "80+80+80+80" or "8x4" which would be 320 but you have to do nearest tenth so your answer would be 322.4.
Joanne read 84 pages in 4 hours. What is the unit rate?
If Joanne read 84 pages in 4 hours. Then the unit rate for Joanne is 21 pages per hour.
What is the rate?The rate is the ratio of the amount of something to unit time.
For example - If the speed of the car is 20 km/h which means the car travels 20 km in one hour.
Joanne read 84 pages in 4 hours.
Then the rate of the Joanne will be
[tex]\rm Rate = \dfrac{84}{4}\\\\Rate = 21[/tex]
More about the rate link is given below.
https://brainly.com/question/14731228
#SPJ2
Two people share $52.20 in the ratio 4:5. How much does each person receive?
Answer:
$23.20 and $29
Step-by-step explanation:
We can set up a simple equation to solve this problem.
4x + 5x = 52.2
9x = 52.2
x = 5.8
To find out how much each person received, we multiply 5.8 with the ratio numbers 4 and 5. That gives us $23.20 and $29, respectively.
If you would like more help in math or other subjects for FREE, check out growthinyouth.org.
Should 21st century skills such as critical thinking, collaboration or logic and reasoning be taught in math class? Explain your answer.
Answer:
YES
Step-by-step explanation:
I would recomend them as electives, for students who want a higher level of education, not a required course. I do think school should offer more course options at there school, to specialize a students learning exsperience. So yes I think schools should offer these courses...as electives.
Answer:
No because that's not math related, it should be taught in/as a different class.
soup ordinarily priced at 2 cans for 33 cents may be purchased in lots of one dozen for 1.74.What is the savings per can when it s purchased this way?
Answer:
2 cents per can
Step-by-step explanation:
The price per can when you buy two cans is:
0.33/2 = $0.165, or 16.5 cents per can
When purchased in a lot of one dozen, the price per can is:
1.74/12 = $0.145, or 14.5 cents per can
So the savings per can when you buy a dozen is:
0.165 - 0.145 = $0.02, or 2 cents per can
Answer:
You save 2 cents per can. $0.02
Step-by-step explanation:
Since one dozen = 12, you need to figure out what 12 can would regularly cost. So multiply the 33 cents by 6 (since 2 x 6 =12).
33 x 6 = 198
Add the decimal and it's $1.98. now subtract $1.74 from $1.98.
1.98 - 1.74 = 0.24
This is the saving for 12 cans, but you want the savings for one can. So you would divide 0.24 by 12.
0.24/12 = 0.02
So you save 2 cents per can.
8/7 + 7/7 = ? Help please ?
Answer:
15/7
Step-by-step explanation:
8/7 + 7/7 = 8+7 = 15
Therefore, the sum of 8/7 + 7/7 is equals to 15/7
Answer:
To add fractions, find the LCD and then combine.
Exact Form:
1 5/7
Decimal Form:
2.142857
Mixed Number Form:
2 1/7
In Only Daughter, we can infer that her father likes her story and that means the
most to her. Which sentence from the excerpt best supports that inference?
Answer:
a."Of all the wonderful things that happened to me last year, that was the most
wonderful."
Step-by-step explanation:
What is the mode of the following numbers?
3,5,6,7,9,6,8
Answer:
The mode would be 6
Step-by-step explanation:
The mode in mathematics refers to the number that appears the most frequently in the set of data. The number six is the only number that is shown twice, making it the mode.
For the function f ( x ) = − 2 x + 3 , evaluate and simplify the difference quotient.
Answer:
fraction x-3/2 is your answer for Sure
Step-by-step explanation:
y=-2x+3
x=2y+3
x-3=2y
x-3/2=y
e
Which is one piece of information that "9" gives about
an atom of fluorine?
The atomic mass is different than the atomic number,
and the number of neutrons is the difference between
the atomic mass and the atomic number.
O the atomic number
O the atomic mass
o the hiass of protons
o the number of neutrons
Answer: The information in that "9" is the atomic number of the atom.
Step-by-step explanation:
For an atom of fluorine we have:
A = atomic weight = 18.99 amu.
Z = atomic number = 9.
(A - Z) = number of netrons = 10.
Then the "9" in the information of the atom of fluorine gives information about the atomic number.
Answer:
the atomic number
Step-by-step explanation:
All of the following are rational except _____. - 3.14159... 0
Answer:
All of the following are rational except 3.14159...
Step-by-step explanation:
Following are the solution to the rational except:
Given:
Please find the question:
To find:
rational except
Solution:
In this question the rational except _____. 0, - 2/5, 0.125, 3.14159...since, the 3.14 is irrational number.
Learn more:
brainly.com/question/20996516
4•(-7) I need help on these with work including plz thx
12 + (-3)
-3(-4)
Answer:
2
Step-by-step explanation
12-3 = 9
-3-4= - 7
question 12+(-3) - 3- 4
9 - 7 = 2
4*(-7)
28
12 + (-3)
12 - 3
9
-3(-4)
3*4
12
Best of Luck!
What information do you need to complete a translation?
Answer:
1. The coordinates of the image you want to transform
2. The change in y
3. The change in x
Step-by-step explanation:
If we transform an image, we are moving it around the coordinate plane.
In order to transform, we need the original coordinates of the image so that we know where to start.
We also need to know the change in y because when we transform a shape it can go up and down.
We also need to know the change in x because when we transform a shape it can go left and right.
Hope this helped!
hi help me (2·4)²= this is other (6:2)²+
Answer:
(2·4)² = 64 / (6*2)² = 144
Step-by-step explanation:
Follow PEMDAS :
Parenthesis first, so:
2 * 4
==> 8
Then Exponent:
8 ^2
==> 64
(2·4)² = 64
Do the same for (6:2)² :
Parenthesis first :
6 * 2
==> 12
Then Exponent:
12^2
==> 144
(6:2)² = 144
Answer:
1. 64 is the answer.2. 144 is the answerStep-by-step explanation:
First, multiply the numbers inside the parenthesis. So
1. 2*4 = 8
2. 6*2 = 12
Next, Use the exponents
1. 8^2
2. 12^2
Finally, solve using exponents.
1. 8^2 = 64
2. 12^2 = 144
So 64 and 144 is the answer.
Hope this helped,
Kavitha
What are the major arcs of o0 that contain point B?
Answer:
Option (C)
Step-by-step explanation:
By the definition of a major arc - any arc of a circle which measures more than 180° is the major arc.
In the given circle, AC and BD are the two chords.
And arcs measuring more than 180° are,
[tex](\widehat{BCA}, \widehat{CDB}, \widehat{ABD},\widehat{DAC},\widehat{DBC},\widehat{ACD})[/tex]
Therefore, the arcs given in Option (C) will be the major arcs of the circle O.
Option (C) will be the correct option.
Find the arc length of AC. Express your answer in terms of pi.
Thanks for the help!
Answer:
3 pi is the answer.Step-by-step explanation:
Circumference = pi * d
1/12 = 30/360 = You need to find 30 degrees
Known:
D = 36
1/12 = percentage
Unknown:
Answer = ?
1/12 * pi * d
= 1/12 * pi * 36
= 1/12 * 36 * pi
= 3 pi
The answer is 3 pi.
Hope this helped,
Kavitha
Answer:
AC = 3 π
Step-by-step explanation:
given dia of a circle = 36 cm
radius r = 36 / 2 = 18
angle Ф = 30°
req'd: Arc length of a circle AC.
Ф
arc length = ----------- x 2 π r
360
30°
AC = --------- x 2 π (18)
360
AC = 3 π
Which is equivalent to the expression below?
8 + 3x - 3 + 8x
Answer:
7
Step-by-step explanation:
select all the are equal to 6^4(6^-5)
a. 1\6^-1
b. 1/6
c. 6^-1
d. 1/6^1
e. 1/-6
Answer:
b. 1/6
c. 6^-1
d. 1/6^1
Step-by-step explanation:
Calculation:
6^4(6^-5) = 6^(4-5) = 6^-1 = 1/6Correct options:
b. 1/6c. 6^-1d. 1/6^1Marlon is bowling in a tournament and has the highest average after 5 games, with scores of 210, 225, 254, 231, and 280. In order to maintain this exact average, what must be Marlon’s score for his 6th game?
Answer:
240
Step-by-step explanation:
Right now, Marlon's average is (210 + 225 + 254 + 231 + 280) / 5 = 240. To maintain that average, the sum of Marlon's scores after 6 games must be 240 * 6. Currently, the sum of Marlon's scores is 240 * 5 so he must score a 240 * 6 - 240 * 5 = 240(6 - 5) = 240 * 1 = 240 for his last game.
y= 2x + 5 what is the linear function of this?
HELP! Determine the equation of the exponential function with a common ratio of 2, a horizontal asymptote at y = 4, and passing through the point (2, 10).
Answer:
[tex]\bold{y=1.5\times 2^x+4}[/tex]
Step-by-step explanation:
Equation for an exponential function is given as following:
[tex]y=ab^x+c[/tex]
Where b is the common ratio and
c is the horizontal asymptote (y value)
a is the coefficient of exponential term of [tex]x[/tex]
[tex](x,y)[/tex] are the points on the function.
Here, we are given that:
Common ratio, b = 2
Horizontal asymptote at y, c = 4
So, the equation becomes (let us put the values of b and c):
[tex]y=a\times 2^x+4[/tex]
We need the value of a. Let us put value of (x,y) as (2,10).
[tex]10=a\times 2^2+4\\\Rightarrow a\times 4 =10-4 =6\\\Rightarrow a =\dfrac{6}{4} =\bold{1.5}[/tex]
So, the final equation of the exponential function is:
[tex]\bold{y=1.5\times 2^x+4}[/tex]