65 miles per hour / 60 minutes per hour = 1.083 miles per minute.
126 miles/ 1.083 miles per minute = 116.03 minutes
Rounded to nearest whole number = 116 minutes.
Answer:
116 minutes
Step-by-step explanation:
speed = distance/time
speed * time = distance
time = distance/speed
time = 126 miles / 65 mph
time = 126/65 hours
time = 126/65 hours * (60 minutes)/(1 hour) = 116 minutes
if x=1 then (x-1)(x-2)= -3 -1 0 2
express 0.0706 to standard form
Answer: 706 x[tex]10^{-4}[/tex]
It can also be written as 7.06 x [tex]10^{-3}[/tex]
Answer:
Step-by-step explanation:
0.0706 * 10 (0) the zero is supposed to be on top of the 10
Simplify 5/96 - 7/54
Answer:
The answer is
[tex] - \frac{67}{864} [/tex]Step-by-step explanation:
[tex] \frac{5}{96} - \frac{7}{54} [/tex]To solve first find the LCM of the denominators
That's
The LCM of 96 and 54 is 864
So we have
[tex] \frac{5}{96} - \frac{7}{54} = \frac{5(9) - 7(16)}{864} [/tex][tex] = \frac{45 - 112}{864} [/tex]We have the final answer as
[tex] = - \frac{67}{112} [/tex]Hope this helps you
Find the circumference given the area = 28.3 km². Use 3.14 for π as necessary. A. 18.9 km B. 20.8 km C. 21.4 km D. 37.8 km
================================================
Work Shown:
Use the given area A = 28.3 to find the radius r
A = pi*r^2
28.3 = 3.14*r^2
3.14*r^2 = 28.3
r^2 = 28.3/3.14
r^2 = 9.01273885350319 approximately
r = sqrt(9.01273885350319)
r = 3.00212239149292
---------
Which is then used to find the circumference
C = 2*pi*r
C = 2*3.14*3.00212239149292
C = 18.8533286185756
C = 18.9
(-4) + (-5) =
I’m confused
I need help with b and d
Solve the equation
(If possible please show work)
Answer:
x = 0
Step-by-step explanation:
First, distribute the -4 to the parentheses:
-4 + 3x = 2x - 4(1 - 3x)
-4 + 3x = 2x - 4 + 12x
Then, add like terms:
-4 + 3x = 14x - 4
Solve for x:
3x = 14x
0 = 11x
0 = x
Answer:
x=0
Step-by-step explanation:
We are given the following equation and asked to solve. We must solve for x by isolating x on one side of the equation.
-4 + 3x= 2x-4(1-3x)
First, distribute the -4. Multiply each term inside the parentheses by -4.
-4+3x=2x + (-4*1) + (-4*-3x)
-4+3x= 2x -4 + (-4*-3x)
-4+3x= 2x-4+12x
Combine like terms on the right side of the equation. The terms 2x and 12x can be added.
-4+3x= (12x+2x)-4
-4+3x=14x-4
Next, subtract 3x to both sides of the equation.
-4+3x-3x=14x-3x-4
-4= (14x-3x)-4
-4= 11x-4
Next, add 4 to both sides of the equation.
-4+4=11x-4+4
-4+4=11x
0=11x
Finally, divide both sides of the equation by 11.
0/11= 11x/11
0/11=x
0=x
The solution to the equation -4 + 3x= 2x-4(1-3x) is x=0
Calculate the total percentage of the shaded
region in both circles.
Answer:
80%
Step-by-step explanation:
Total area is the area of two circles. Each circle if accepted as a unit, in total it equals to 2 units.
Shaded area:
1 + 3/5 = 8/5Percentage of shaded area compared to total:
8/5 ÷ 2 = 4/5 = 0.8 =80%Answer: 80% of all region is shaded
How to work out the mean
Answer:
mean is average
1. Add all the values to find the total
2. Divide the total you have found by the amount of numbers you have added to find the total
Answer:
To work out the mean you have to add all of the numbers up then divide it by how many numbers the are
Step-by-step explanation:
Write the expression in exponential form.
[tex] \sqrt{10} [/tex]
When we use an exponent of 1/2, it is the same as a square root. The more general rule is
[tex]\sqrt{x} = x^{1/2}[/tex]
In this case, we plug in x = 10.
The use of a fractional exponent is handy when you want to deal with things like cube roots on a calculator. This is because
[tex]\sqrt[3]{x} = x^{1/3}[/tex]
Many calculators don't have a button labeled [tex]\sqrt[3]{}[/tex] but they have the button [tex]x^y[/tex] to allow fractional exponents.
The area of a rectangle is 560 cm^2. The length is 3 more than twice the width. Find the dimensions of the rectangle.
Let the width be x.
Then,length = 2x + 3
Area of rectangle = 560 [ Given ]
⇒ l × b = 560
⇒ ( 2x + 3 ) x = 560
⇒ 2x² + 3x - 560 = 0
⇒ 2x² + 35x - 32x - 560 = 0
⇒ x ( 2x + 35 ) - 16 ( 2x + 35 ) = 0
⇒ ( x - 16 ) = 0 and ( 2x + 35 ) = 0
⇒ x = 16 and x = -35/2 [ Ignore negative number ]
★ Width = x = 16 cm
★ Length = 2x + 3 = 2 × 16 + 3 = 32 + 3 = 35 cm
8. Which of the numbers in each pair is farther to the left on the number line?
a. 305 and 17
b. 187 and 900
C. 16 and 46
d. 157,019 and 149,984
The sequence {an) is defined by ao = 1 and
An+1=2an +1 for n = 0,1,2,.... What is the value
of a4?
=======================================
Work Shown:
Use the value of a0 to find the value of a1. The idea is you double the previous value, and then add 1.
[tex]a_{n+1} = 2*(a_n) + 1\\\\a_{0+1} = 2*(a_0) + 1\\\\a_{1} = 2*(1) + 1\\\\a_{1} = 3\\\\[/tex]
Which is then used to find the value of a2. Follow the same process as before (double the previous value and then add 1).
[tex]a_{n+1} = 2*(a_n) + 1\\\\a_{1+1} = 2*(a_1) + 1\\\\a_{2} = 2*(3) + 1\\\\a_{2} = 7\\\\[/tex]
This is used to find a3
[tex]a_{n+1} = 2*(a_n) + 1\\\\a_{2+1} = 2*(a_2) + 1\\\\a_{3} = 2*(7) + 1\\\\a_{3} = 15\\\\[/tex]
Finally we can now find a4
[tex]a_{n+1} = 2*(a_n) + 1\\\\a_{3+1} = 2*(a_3) + 1\\\\a_{4} = 2*(15) + 1\\\\a_{4} = 31\\\\[/tex]
Recursive sequences like this aren't too bad if n is small, but as n gets larger, things become more tedious. For those cases, its best to try to find a closed form equation. If not, then the next best thing is using a spreadsheet to automate the process.
A gas that exerts a pressure of
215 torr in a container with a volume of
51.0 mL will exert a pressure of
torr when transferred to a
container with a volume of 18.5 mL.
Assume that the number of moles and the
temperature remain constant.
Step-by-step explanation:
According to Boyle's Law :
[tex]p _1v _1 = p _2v _2[/tex]
[tex]v _2 = \frac{p _1v _1}{p _2} = \frac{215 \times 51}{18.5} = 592.7ml[/tex]
The pressure exert in a container is 592.70 torr.
To find The pressure exert in a container.
What is Molarity?Molarity is defined as the moles of a solute per liters of a solution. Molarity is also known as the molar concentration of a solution.
Given that :
pressure([tex]P_{1}[/tex])=215 torr
volume ([tex]v_{1}[/tex])=51.0 mL
volume([tex]v_{2}[/tex])= 18.5 mL
[tex]P_{2}[/tex]=?
Number of moles and the temperature remain constant.
By the use of "Boyle's law" :
[tex]P_{1} V_{1} =P_{2} V_{2} \\\\215*51=P_{2} *18.5\\\\P_{2} =\frac{215*51}{18.5} \\\\P_{2} =592.70 torr[/tex]
So, the pressure exert in a container is 592.70 torr.
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Kathy found a job listed on an employment web site that pays a yearly salary of $27,630. What is
the biweekly salary based on this annual salary rounded to the nearest cent?
Do not include a dollar sign in your answer.
Answer:
1151.25
Step-by-step explanation:
You would divide $27,630 by 12 months.
You would then have her monthly salary. Since there are 4 weeks in a month, she has two pay periods. You would divide her monthly salary (2302.5) by two weeks, to get $1151.25
The fox population in a certain region has a continuous growth rate of 5% per year. It is estimated that the population in the year 2000 was 10,100 foxes.
a) Find a function that models the population,P(t) , after (t) years since year 2000 (i.e. t= 0 for the year 2000).
b) Use your function from part (a) to estimate the fox population in the year 2008.
c) Use your function to estimate the year when the fox population will reach over 18,400 foxes. Round t to the nearest whole year, then state the year.
Answer:
P(t) = I × ( 1 +g)^t
14922
2013
Step-by-step explanation:
Given the following :
Growth rate (g) = 5% = 0.05
Initial population (I) = 10,100
Time (t) = t (t = 0 in year 2000)
A) population function P(t)
P(t) = I × ( 1 +g)^t
P(t) population in t years
I = inital population
g = growth rate
t = years after year 2000
B) Population Estimate in year 2008
2008 - 2000 = 8 = t
P(8) = 10,100 × ( 1 +0.05)^8
P(8) = 10,100 × (1.05)^8
P(8) = 10,100 × 1.4774554437
P(8) = 14922.299 = 14922
C.) Nearest whole year when population will reach over 18,400
18,400 = 10,100 × ( 1 +0.05)^t
18400 = 10,100(1.05)^t
1.05^t = 18400 / 10,100
1.05^t = 1.8217821
In(1.05^t) = ln(1.8217821)
(0.0487901)t = 0.5998152
t = 0.5998152 / 0.0487901
t = 12.293789
To attain a population of 18400 and over, the nearest whole year = 13 years
2000 + 13 = 2013
X-21=6 what does x equal??
Answer:
The answer is 27
Hope this helps
Answer:
x=27
Step-by-step explanation:
What you need to do is isolate the x or in other words have the x be alone on one side of the equal sign. To do this you would need to add 21 to both sides because you need to cancel out -21 with the opposite which would be positve 21. After that the x should be by itself and then finally add 21 to 6 to complete solving for x.
If ∠P measures 27°, ∠R measures 135°, and p equals 9.5, then which length can be found using the Law of Sines?
Answer:
r = 14,8
Step-by-step explanation:
Hope you can read my writing ;-)
The length that can be found using the Law of Sine rule is
r= 14.80 units
What is the lenght?Generally,
Generally, the equation for sin rule is mathematically given as
[tex]\frac{p}{sinP} = \frac{q}{sinQ} = \frac{r}{sinR}[/tex]
Where
p = 9.5 units
∠P = 27°
∠R = 135°
Therefore
[tex]\frac{9.5}{sin 27^0} = \frac{q}{sin Q} = \frac{r}{sin 135^0}[/tex]
[tex]\frac{9.5}{sin 27^0} = \frac{r}{sin 135^0}[/tex]
9.5 x 0.7071 = r x 0.4540
r = 14.80 units
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Austin prepared 20 kilograms of dough after working 5 hours. How many hours did Austin work if he prepared 36 kilograms of dough? Assume the relationship is directly proportional.
Answer: 9 hours
If austin prepared 20 kg of dough in 5 hours, this means he can prepare 4kg of dough an hour. This is because 20/5=4. Knowing this information, it would only make sense that Austin worked for 9 hours to prepare 36 kg of dough.
This is because 36/4=9.
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Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Austin prepared 20 kg of dough in 5 hours. Now you see he made 4 kg of dough in a hour, wanna know how? divide 20 to 5 = 4
Now thats done, ill show you the steps of how i got the answer 9.
So we will use that 4 we got from 20 divided by 5 and divide 36 by that 4 and we will get our answer!
--> 20÷5 = 4
36÷4= 9
a process used to convert units and rates using a conversion factor and multiplication
Dimensional Analysis
The quotient below is shown without the decimal point. Use number sense to place the decimal point correctly. 370 ÷ 2.5 ÷ 1.6 = 925
Answer:
92.5
Step-by-step explanation:
When you would look at this you would just see that there are if you divide 370 by 2 and 2 again you will not get a small number so the only logical answer is 92.5
The number would be 92.5
First, we have to convert decimal to fraction
370/(25/10 * 16/10)
now, reduce the expression to the lowest term
370/4
reduce the fraction
185/2
=92.5
What are Decimals?
In Algebra, decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point. For example, 34.5 is a decimal number.
What is a fraction in math?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator
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Determine the value of
x isosceles triangle?
Answer:
x = 13ft
Step-by-step explanation:
The isosceles triangle is a polygon with three sides, two being equal and the other unequal.
The angles P and N will also be equal and the M other different.
PM ≅ MN
∠P ≅ ∠N
PN = 2x
because the line starting at M divides the triangle into two sections
26 = 2x
2x = 26
x = 26 /2
x = 13ft
5. Jonathan and Victoria can finish a job in 13 days. Jonathan can do the job
himself in 26 days. if Victoria wanted to do the job alone, how long would it
take her?
6. If a certain job can be finished by 18 workers in 26 days. How many workers
are needed to finish job in 12 days?
.
7. A group of 40 workers can finish digging a tunnel in 12 days. how many
workers can finish the job in 8 days?
Answer:
about 8 workers will finish the job
Rayée sold 3 desks at the local trade show. H paid $4.00 to rent the booth. He gave half of his revenue to the carpenter and was left with $185.50. At what price did he Rayen sell with each desk
Answer:
$125
Step-by-step explanation:
Given the following :
Number of desks sold = 3
Amount of rent paid = $4
Amount paid to carpenter = 1/2 of revenue
Amount left = $185.50
At what price did Ryan sell each desk?
If Rayee gave half of his revenue to the carpenter and then had $185.50 left,
The his revenue before paying the carpenter will be twice what he has left ($185.50 * 2) = $371
Hence, total revenue from the sale of 3 desk= ($371 + rent) = (371 + 4) = $375
Then each desk cost :
$375 / 3 = 125
$125
If x * (x + 2) = 49, find x
Answer:
x = -8.07107, 6.07107
Step-by-step explanation:
Quadratic Formula: [tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]
Step 1: Write out equation
x(x + 2) = 49
Step 2: Distribute
x² + 2x = 49
Step 3: Subtract 49 on both sides
x² + 2x - 49 = 0
Step 4: Quadratic Formula
a = 1
b = 2
c = -49
x = -8.07107, 6.07107
Consider the polynomial 6x4 + 24x3 − 72x2. What is the greatest common factor (GCF) of the terms of the polynomial?
Answer:
24x
Step-by-step explanation:
=6x×4+24x×3-72x
=24x+24×3x-72x
=24x+72x-72
=24x
domain and range of a function
Answer:
The domain of a function is the set of all possible inputs for the function. The range of a function is the set of all possible outputs for the function.
Step-by-step explanation:
Shamika knows she has been listening to a music playlist for 26 minutes when she looks at the clock showing the time below. What time did Shamika begin listening to the playlist?
Answer:
t = 5:26
Step-by-step explanation:
time after 26 min = 5:52
time before 5:52 after listening for 26 min
t = 5:52 - 0:26
t = 5:26 was the time when Shanika starts listening to a music.
Answer:
t = 5:26
Step-by-step explanation:
time after 26 min = 5:52
time before 5:52 after listening for 26 min
t = 5:52 - 0:26
t = 5:26
1.2.41
Yuson used her calculator to solve the equation x-
- 8 = 3. She entered the following on her screen and got an incorrect answer. How
could she use parentheses to find the correct answer? Explain. What is the correct answer?
Answer:
[tex]x - (-8) = 3[/tex]
[tex]x = -5[/tex]
Step-by-step explanation:
Equation
[tex]x - -8 = 3[/tex]
Solving (a): Using Parenthesis
The equation can be rewritten by putting -8 in a parenthesis as follows;
[tex]x - (-8) = 3[/tex]
Solving (b): The correct answer
[tex]x - (-8) = 3[/tex]
Start by opening the bracket
[tex]x + 8 = 3[/tex]
Subtract 8 from both sides
[tex]x + 8 - 8 = 3 - 8[/tex]
[tex]x = 3 - 8[/tex]
[tex]x = -5[/tex]
Hence, the correct solution is [tex]x = -5[/tex]
Reemu read 1·5 pages of a book. If she read further 40 pages,she would have read 7.10 pages of the book. How many pages are left to be read?
Answer:
Let total pages be x
ATQ,
(x/5)+40=7x/10
(x+200)/5=7x/10
Cross multiply
10x+2000=35x
10x-35x=-2000
-25x=-2000
x=2000/25
x=80 pages
Therefore pages left= 3/10 of pages
=3*80/10=24 pages
Answer:
(x/5)+40=7x/10
(x+200)/5=7x/10
Cross multiply
10x+2000=35x
10x-35x=-2000
-25x=-2000
x=2000/25
x=80 pages
Therefore pages left= 3/10 of pages
=3*80/10=24 pages
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