Answer:
4.30m/hr
Step-by-step explanation:
2 feet/8.5 mins is 0.235294118 feet per minute, which is 4.3030553875397 metres per hour, which to 2 s.f. is 4.30
In meters per hour the speed is 470 meters per hour.
We have an object moving at a speed of 2 feet every 8.5 minutes.
We have to express this speed in meters per hour.
Convert - i). 1 feet to meters 2). 1 minute to hour1 feet = 3.29 meters
1 hour = 60 minutes → 1 minute = [tex]\frac{1}{60}[/tex] hour = 0.017 hr
According to question - We have :
Speed = 2 feet in 8.5 minutes
We know -
1 feet = 3.29 meters
2 feet = 2 x 3.29 = 6.58 meters
and
1 minute = 0.017 hr
8.5 minutes = 8.5 x 0.017 = 0.14 hr
Now -
In 0.014 hr, distance covered = 6.58 meters
In 1 hr, distance covered will be - [tex]\frac{6.58}{0.014}[/tex] = 470 meters/hour
Hence, in meters per hour the speed is 470 meters per hour.
To solve more questions on units conversion, visit the link below -
https://brainly.com/question/1629016
#SPJ2
Peter purchases a baseball card for $150 as an investment. His research tells him that the value of
the card should double every 3 years. When will the card reach a value of $ 4000?
Answer:
6 years
Step-by-step explanation:
Given
[tex]Initial\ Investment = 150[/tex]
[tex]Ratio = double[/tex]
Required
When will it get to 4000
This question illustrates a geometric progression and will be solved using:
[tex]T_n = ar^{n-1}[/tex]
In this case;
[tex]T_n = 4000[/tex]
[tex]r = double = 2[/tex]
[tex]a = 150[/tex]
So, we're to solve for n
[tex]4000 = 150 * 2^{n - 1}[/tex]
Divide through by 150
[tex]\frac{4000}{150} = 2^{n-1}[/tex]
[tex]26.67= 2^{n-1}[/tex]
Take Log of both sides
[tex]Log26.67= Log2^{n-1}[/tex]
Apply law of logarithm
[tex]Log26.67= ({n-1})Log2[/tex]
Take Log values
[tex]1.42602301569 = (n - 1) * 0.30102999566[/tex]
Make n - 1 the subject
[tex]n - 1 = \frac{1.42602301569}{0.30102999566}[/tex]
[tex]n - 1 = 4.73714591984[/tex]
Add 2 to both sides
[tex]n = 1 + 4.73714591984[/tex]
[tex]n = 5.73714591984[/tex]
[tex]n = 6[/tex] (Approximated)
Hence, it'll take 6 years
Is the sum of √16 and 1.5 rational or irrational?" Justify and explain your answer.
Answer:
Rational
Step-by-step explanation:
The square root of 16 is 4, and 4 + 1.5 is = to 5.5. An irrational number is defined as infinite and never-ending. Since 5.5 is not infinite, we can conclude that it isn't irrational.
What is 4,672.183 rounded to the nearest hundredth?
Answer:
The correct answer is 4,672.18.
Step-by-step explanation:
To solve this problem, we must look at the number we are given and determine what numbers are in which places. The 4 is in the thousands place, the 6 is in the hundreds place, the 7 is in the tens place, the 2 is in the ones place, the 1 is in the tenths place, the 8 is in the hundredths place, and the 3 is in the thousandths place.
The question asks us to round to the nearest hundredth, so this means that the number in the hundredths place should be the final digit. In the number given, the number 8 is in the hundredths place. Since the following digit (3) is less than 5, we round down and keep the 8 in the hundredths place. This makes our answer 4,672.18.
Hope this helps!
4(2x – 8) = 3(2 – Зх)
Kendra earns $11.60 per hour working at the movie theater. Each week, she donates of
10
her earnings to Best Friends Animal Society, her favorite charity. If Kendra worked 8 hours
2
last week, how much money did she donate to the charity?
Answer:
$9.86
Step-by-step explanation:
First, write both numbers in the same form. Convert 8
1
2
to a decimal.
8
1
2
= 8+
1
2
= 8+
1×5
2×5
= 8+
5
10
= 8+0.5
= 8.5
Multiply.
11.6
× 8.5
580
+ 9280
98.60
Kendra earned $98.60 last week.
Now multiply to find how much money Kendra donated to the charity last week. She earned $98.60, and she donates
1
10
of her earnings each week.
First, write both numbers in the same form. Convert
1
10
to a decimal.
1
10
=0.1
Multiply.
98.6
× 0.1
9.86
Kendra donated $9.86 to the charity last week.
the mean number of goals scored is 2.5 the mean number of away goals scored is 1.8 how many home and away games have been played in total
if
f(x)=5x+7
and
g(x)=-2x-4
find
f(g(x))=___x+___
Answer:
Step-by-step explanation:
g(x) = -2x - 4
f(-2x -4)
5(-2x - 4) + 7
-10x - 20 + 7
-10x - 13
write a word phrase for
[tex] - 5 - 4n[/tex]
-5: negative five
-: minus
4n: a number times four
Put everything together.
Negative give minus a number times four.
Best of Luck!
Perform matrix subtraction to find the values of w,
x, y, and z.
Answer:
w = ⇒ 21
x = ⇒ 13
y = ⇒ -11
z = ⇒ -16
Step-by-step explanation:
The value of the matrix will be [tex]\left[\begin{array}{ccc}w &x&\\y&z\end{array}\right] = \left[\begin{array}{ccc}21&13&\\5&-16\end{array}\right][/tex]
What is the matrix?A matrix is a rectangular array of numbers that are arranged in rows and columns. The numbers are referred to as the matrix's elements or entries. Engineering, physics, economics, and statistics, as well as various disciplines of mathematics, all use matrices.
[tex]=\left[\begin{array}{ccc}17&12&\\-3&-2\end{array}\right] - \left[\begin{array}{ccc}-4&-1&\\8&14\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}w &x&\\y&z\end{array}\right] = \left[\begin{array}{ccc}21&13&\\5&-16\end{array}\right][/tex]
To know more about matrices follow
https://brainly.com/question/1821869
#SPJ2
on a time Find the midpoint of segment GL if G (- 2, 46) and L (4, 10). Write your anwer in coordinate pair form (x, y)
Answer:
(1, 28 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] ]
here (x₁, y₁ ) = G(- 2, 46) and (x₂, y₂ ) = L(4, 10), thus
midpoint = ([tex]\frac{-2+4}{2}[/tex] , [tex]\frac{46+10}{2}[/tex] ) = ([tex]\frac{2}{2}[/tex] , [tex]\frac{56}2}[/tex] ) = (1, 28 )
If r=8 units and h=11 units, what is the volume of the cylinder shown above? Use 3.14 for pi. HELP ME
Answer:
The answer is
2210.56 units³Step-by-step explanation:
Volume of a cylinder is given by
V = πr²hwhere
r is the radius of the cylinder
h is the height
From the question
r = 8 units
h = 11 units
Substitute the values into the above formula and solve
V = 3.14(8)²(11)
= 3.14(64)(11)
= 3.14 × 704
We have the final answer as
V = 2210.56 units³
Hope this helps you
(6.42)-(-3.2) Btw I need to show my work...
Answer:
9.62
Step-by-step explanation:
Simplify the expression.
(6.42)+(-3.2)= 9.62
Whats 1+1 ? I need help ASAP im rlly confused
Answer:
2
Step-by-step explanation:
hold one finger up, and add another, then count how many fingers you have
Answer:
2
Step-by-step explanation:
PLZ HELLLLLLPPPPPPPP!
WILL MARK BRAINLIEST!!!!!
Answer:
more than one than its a and b but only one than its a
#3 - Simplify the expression. Type your answer with all lowercase letters and no spaces. Type your p variable first and g variable second in your answer. * 2(5p+2g)+5g
Answer: 10p+9g
Step-by-step explanation:
2(5p+2g)+5g
10p+4g+5g
10p+9g
find the value of x if h is the midpoint of gj, gj equals 4x-6, and gh=27 - huryyyyyyy please.
Answer: X=15
Step-by-step explanation:
GH+HJ= GJ
27+27=4x-6
54=4x-6
60=4x
15=x
What is 4 less than three sevenths of y
Answer:
[tex]\frac{3}{7}y - 4[/tex]
Step-by-step explanation:
Let's start with the part "three sevenths of y". In this statement, "of" means multiply or times. So, let's apply that. It would now be three sevenths times y. Three sevenths times y looks like this: 3/7y"4 less than" means subtraction because less than means subtractions. So our first part is 3/7y. Now let's add less 4 less than: 3/7y - 4.I hope this helps!
If 3x = 27, then x =
Answer:
x = 9
Step-by-step explanation:
3x = 27
3/3x = 27/3
x = 9
find the length of the missing side
a) 17 cm
b) 22 cm
c ) 15 cm
d) 13 cm
The missing side of the triangle is measure 13 cm.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
Two sides of right triangle are,
⇒ 5 cm, 12 cm
Since, The triangle is a right triangle.
So, We can apply the Pythagoras theorem as;
Let the measure of missing side = x
⇒ x² = 5² + 12²
⇒ x² = 25 + 144
⇒ x² = 169
⇒ x = √169
⇒ x = 13 cm
Learn more about the triangle visit:
https://brainly.com/question/17335144
#SPJ2
ANSWER ASAP FOR QUIZ
does the number 15/3 belong to the set of natural/counting numbers?
Please hurry! :) Its a get more math question.
The sales price is 44. 37 dollars.
Answer: $44.37
Step-by-step explanation:
63.38 x 30/100 (or x 0.3)
You save: $19.01
$63.38 - $19.01 = Final price of $44.37
Write two polynomial functions whose quotient will be the same degree as the divisor.
Answer:
[tex]f(x) = 6x^2 - 11x + 4[/tex]
[tex]g(x) = 3x - 4[/tex]
[tex]q(x) = 2x - 1[/tex]
Step-by-step explanation:
Represent the two polynomials with [tex]f(x)[/tex] and [tex]g(x)[/tex]
Let
[tex]f(x) = 6x^2 - 11x + 4[/tex]
[tex]g(x) = 3x - 4[/tex]
The quotient of two polynomial is the result of division between the two polynomials
Let q(x) represent the quotient polynomial
[tex]q(x) = \frac{f(x)}{g(x)}[/tex]
Where g(x) is the divisor
[tex]q(x) = \frac{6x^2 - 11x + 4}{3x - 4}[/tex]
Factorize the numerator
[tex]q(x) = \frac{6x^2 - 3x - 8x + 4}{3x - 4}[/tex]
[tex]q(x) = \frac{(3x -4)(2x - 1)}{3x - 4}[/tex]
[tex]q(x) = 2x - 1[/tex]
Notice that: q(x) and g(x) have the same degree of 1
WORTH 85 POINTS!!
explain in FULL sentences!!!
A student conducted an experiment to test whether talking to plants would help them to grow faster. He set up the following two groups: Group 1: spoken to and hand watered Group 2: not spoken to and hand watered After three weeks, the plants in Group 1 showed much more growth than those in Group 2.
Name the independent and dependent variable.
Answer: Group 1 is the dependent variable, and group 2 is the independent
Step-by-step explanation: The dependent variable is the variable that is being measured or tested in an experiment. So, Group 1 would be the dependent variable, because as it says the the group 1 plants were spoken to and hand watered as in they changed the outcome of the experiment.
The independent variable is the variable the experimenter changes or controls. So, the independent variable would be group 2 because the group 2 plants outcome was not determines anything but it's self.
a saline solution has a concentration ratio of 2.5mg of salt in 100ml of solution. How many mg of salt will be needed to produce 500ml of a saline solution having the same concentration?
Answer:
12.5mg
Step-by-step explanation:
500ml÷100ml= 5
2.5mg×5= 12.5mg
work out 6d + 8 = 14 + 3d
In 6d + 8 = 14 + 3d , D=2
Isolate the variable by dividing each side by factors that don't contain the variable.
Reduce each fraction below 6/6= 10/2= 2/6=
Answer:
6/6 = to 1
10/2=to 5
2/6= to 1/3 or 0.3333333333
Step-by-step explanation:
6/6 divide by 1
10/2 10 divide by 2
2/6 reduce to 1/3 or o.3333333333
HELP ME PLS
A media research survey showed that one evening, 2/3 of all U.S. households had their televisions on, and 3/8 of them were watching a World Series baseball game. What fraction of the U.S. households was watching the game?
Answer:
sfhjty
Step-by-step explanation:
On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be 76.1°. He plans to use the function C of F = five-ninths (F minus 32) to convert this temperature from degrees Fahrenheit to degrees Celsius. What does C(76.1) represent?
Answer: the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius
Step-by-step explanation:
Answer:Aka) A
Step-by-step explanation:
Solving equations to find angle measure
Show work please
Step-by-step explanation:
2x + 1 + x - 13 = 180° because these angles are supplementary
3x - 12 = 180°
3x = 180 + 12
3x = 192 divide both sides by 3
x = 64
2x + 1 ➡ 2 × 64 + 1 = 129°
x - 13 ➡ 64 - 13 = 51°