Answer:
d=6 2/3 or 6.6666
Step-by-step explanation:
3(d+4)=32
3d+12=32
3d=32-12
3d=20
d=6 2/3 or 6.6666
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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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
For each problem, find the missing value using the Pythagorean Theorem
Answer: [tex]\sqrt{66}[/tex]
Step-by-step explanation:
The Pythagorean Theorem says that a^2 + b^2 = c^2 where a and b are the two legs.
In this care leg 1 is 4 and leg two is the square root of 50. So we will square them to find c which is the hypotenuse.
4^2 + [tex]\sqrt{50} ^2[/tex] = C^2
16 + 50 = c^2
66 = c^2
c =[tex]\sqrt{66}[/tex]
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
My question is 9 + 12n
Answer:
3(3 +4n)
OR
9 + 12n
Step-by-step explanation:
9 + 12n
Factorize it
3(3 +4n)
OR
The answer is the same.
Since we can't add a number with a number and letter. So in that case the answer is ;
9 + 12n.
Hope it helps!!Please mark me as the brainliest!!!Thanks !!!!
5x+7+3x=-8+3x please solve it before 8:30
Answer:
x=-3
Step-by-step explanation:
5x+7+3x=-8+3x
Combine like terms
8x+7 = 3x-8
Subtract 3x from each side
8x+7-3x = 3x-8-3x
5x+7 = -8
Subtract 7 from each side
5x+7-7 = -8-7
5x = -15
Divide each side by 5
5x/5 = -15/5
x = -3
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
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
Which expression is equivalent to (3^4 • 5^4)^-3
A. 1/15^3
B. 15^-48
C. 1/15^12
D. 15^5
Tania chose B as the correct answer, How did she get that?
3^4*5^4 = (3*5)^4 = 15^4
Raise this to the exponent -3 and we get
(3^4*5^4)^(-3) = (15^4)^(-3) = 15^(4*(-3)) = 15^(-12)
The last step is to use the rule
x^(-k) = 1/( x^k )
So,
15^(-12) = 1/( 15^12 )
The answer is actually choice CIt seems like Tania multiplied all the exponents to get 4*4*(-3) = 16*(-3) = -48, but you only multiply the inner and outer exponents together as I did when I went from (15^4)^(-3) to 15^(-12)
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
ther u is good person
I need help with b and d
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
a process used to convert units and rates using a conversion factor and multiplication
Dimensional Analysis
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
What is the difference between law and scientific law.
Answer:
A hypothesis is a limited explanation of a phenomenon; a scientific theory is an in-depth explanation of the observed phenomenon. A law is a statement about an observed phenomenon or a unifying concept, according to Kennesaw State University. ... However, Newton's law doesn't explain what gravity is, or how it works.
Step-by-step explanation:
Answer:
law is federal
Step-by-step explanation:
ik
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
The price of a winter coat and a 20% discount
Hey, your question is incomplete so, plz write complete question to get the required answer
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 triangle is 150 cm- and its sides are in the ratio 3: 4:5. What is its perimeter?
(A) 10 cm
(B) 30 cm (C) 45 cm
(D) 60 cm
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
Determine the degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicated value of x to be less than 0.001.
Answer: n> or equals to 3
Step-by-step explanation:
Find explanation on the attachment
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
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:
Please help me on this question
Answer:
please mark my answer brainliest
Step-by-step explanation:
11 students 26 students that 2 small divisions =1 unit =1 student8. 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
please help me on this
Answer:
Median
Step-by-step explanation:
A line that goes from the vertex of a triangle to the midpoint of the opposite side is a median.
Short Response 16. Parallel lines p and q are cut by transversal t to form angles 1-8. If 22 and 27 are alter- nate exterior angles, 27 and 26 are vertical angles, and 26 and 24 are consecutive interior angles, what can you conclude about the relationship between the angle measures of 22 and 24? Explain.
I don’t understand how to solve this, please help!!
Answer:
see below (I hope this helps!)
Step-by-step explanation:
Alternate exterior angles are congruent so we know that ∠2 ≅ ∠ 7. Vertical angles are also congruent so ∠7 ≅ ∠6. Consecutive interior angles are supplementary so we know that ∠6 and ∠4 are supplementary. Now, we can use the Transitive Property (this states that if a = b and b = c then a = c) to compare ∠2 and ∠4. In this case, a = ∠2, b = ∠7 and c = ∠6 so we know that ∠2 ≅ ∠6 and since ∠6 is supplementary to ∠4, we can use the Transitive Property again to conclude that ∠2 and ∠4 are supplementary.
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]
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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