Answer:
Part A) The rate is [tex]\frac{12}{4}\ \frac{feet}{years}[/tex]
Part B) In 1 year the tree grows 3 feet
Step-by-step explanation:
Part A) write the rate at which this tree grows as a fractions
we know that
To find out the rate at which the tree grows divide 1/4 foot by 1/12 year
so
[tex]\frac{(1/4)}{(1/12)}=\frac{12}{4}\ \frac{feet}{years}[/tex]
Part B) how many feet does the tree grow in 1 year?
we know that
The tree grows at rate of [tex]\frac{12}{4}\ \frac{feet}{years}[/tex]
Simplify
[tex]\frac{3}{1}\ \frac{feet}{year}[/tex]
That means ----> The tree grows 3 ft in 1 year
therefore
In 1 year the tree grows 3 feet
bob bedroom room weights 62 kilograms how many grams does bob bed weight
Answer:
62,000 grams as there are 1000 grams in a kilogram
Find the length of BC if ABC is equilateral with AB=12x+4 and AC=8x+12
Answer:
BC = 28
Step-by-step explanation:
Since the triangle is equilateral then all 3 sides are congruent.
Equate AB and AC and solve for x, that is
12x + 4 = 8x + 12 ( subtract 8x from both sides )
4x + 4 = 12 ( subtract 4 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2, thus
AC = 8x + 12 = (8 × 2) + 12 = 16 + 12 = 28
Since the 3 sides are congruent then BC = 28
In the year 2006, a company made $7 million in profit. For each consecutive year after that, their profit increased by 9%. How much would the company's profit be in the year 2008, to the nearest tenth of a million dollars?
Answer:
The company's profit be in the year 2008 is $8.3 million.
Step-by-step explanation:
Given:
In the year 2006, a company made $7 million in profit, their profit increased by 9%.
So, we need to calculate the company's profit be in the year 2008.
Now, by putting the formula to find the profit(P) after the two year:
Difference between the year = 2008 - 2006 = 2 year.
So, number of years(n) = 2 year
Rate of profit increasing(r) = 9%
Amount company made in 2006 (A) = $7 million.
[tex]P=A(1+\frac{r}{100})^{n}[/tex]
[tex]P=7(1+\frac{9}{100})^{2}[/tex]
[tex]P=7(1+0.09)^{2}[/tex]
[tex]P=7(1.09)^{2}[/tex]
[tex]P=7\times 1.188[/tex]
[tex]P=8.316[/tex]
Profit in the year 2008 would be 8.316 million, and nearest to the tenth of a million dollars is $8.3 as 3 is in the tenth place of the decimal and 1 in the hundredth so rounding will change $8.316 to $8.3.
Therefore, the company's profit be in the year 2008 is $8.3 million.
Final answer:
To find the company's profit in 2008 after a 9% increase each year from 2006, we calculate compound growth over two years. The profit in 2008 would be $8,316,700, which rounds to $8.3 million.
Explanation:
To calculate the company's profit in the year 2008 after it increased by 9% each year following 2006, we can use the formula for compound interest which is similar to calculating compounded profit growth. The formula is:
[tex]P = P_0 \times (1 + r)^t[/tex]
Where:
P is the future profit
P₀ is the initial profit ($7 million)
r is the annual growth rate (9% or 0.09)
t is the number of years since 2006 (2008 - 2006 = 2 years)
Let's calculate the profit for 2008:
P = $7,000,000 × (1 + 0.09)²
First, calculate the growth factor for one year:
1 + 0.09 = 1.09
Now, apply the growth factor for two years:
1.09² = 1.1881
Multiply the initial profit by the growth factor:
P = $7,000,000 × 1.1881 = $8,316,700
To the nearest tenth of a million dollars, the company's profit in 2008 would be $8.3 million.
Solve each problem as indicated. Type your answer in the box. Do not use any spaces.
(-33) + (-22) =
Hello.
Answer: -55. When adding two negatives, you add like you would any positive number.
what is.3x^2 +x+2-4x^2(3x-4) equal to
Answer:
-12x^3+17x^2+x+2
Step-by-step explanation:
3x^2+x+2-4x^2(3x-4)
3x^2+x+2-12x^3+14x^2
3x^2+14x^2-12x^3+x+2
17x^2-12x^3+x+2
-12x^3+17x^2+x+2
mckenna had $32 when she got to the carnival . after riding 6 rides , she had $20 left . write an eqaution and solve to find the price for each ride
Answer:
$2 per ride
Step-by-step explanation:
$32-$20=$12
McKenna rode 6 rides so $12 divided by 6 rides is $2 for every ride
Final answer:
The equation to find the price for each ride McKenna paid at the carnival is $32 - 6P = $20. Solving for P gives us P = $2, so each ride costs $2.
Explanation:
To find the price for each ride that McKenna paid at the carnival, we need to set up an equation based on the information given. McKenna started with $32 and ended with $20 after riding 6 rides. The amount spent on rides is the difference between the starting amount and the remaining amount.
The equation will be:
Initial amount - (Price per ride × Number of rides) = Remaining amount
$32 - (Price per ride × 6) = $20
Let's denote the price for each ride as P. So the equation becomes:
$32 - 6P = $20
To solve for P, we rearrange the equation:
6P = $32 - $20
6P = $12
P = $12 / 6
P = $2
Hence, the price for each ride is $2.
Which of the following statements is true about the triangles below
Answer:
Step-by-step explanation:
From the given diagram we notice that
1. Line AB is equal to Line DE.
2. Line AC is equal to line DF.
3. Angle A is equal to angle D
Then, it shows that 2 sides of the triangle are similar and 1 of it's angle is also similar. Then, it is SAS
Where, S- represent sides and A- represents angle
NOTE : we have SSS, ASA, AAS and SAS, we don't have SSA
To write the similar triangle equation
∆ABC ≈ ∆DEF
Since AB is equal to DE, the we replace It with DE and also Angle A is equal to angle D. Also AC is equal to DF, then we replace C with F.
So the answer is C
∆ABC ≈ ∆DEF SAS
A survey of two communities asked residents which candidate they
supported for a local election. The survey data are shown in the relative
frequency table.
Total
Zhang
0.32
• Gartman
0.30
0.18
Cherry Hill
Mountain View
Total
0.62
0.20
0.38
1.0
0.52
0.48
What percentage of the Cherry Hill residents polled supported Zhang?
Answer:
The answer is 52%
Step-by-step explanation:
The above data shows that (0.32) 32% of residents support Zhang and live in Cherry Hill.
Since the question asked is to know the percentage of the Cherry Hill residents polled that supported Zhang
We focus on Cherry Hill residents only.
(0.62) 62% of residents surveyed live in Cherry Hill
So you would divide 32% by 62% and that would be approximately 0.52
Convert 0.52 to percentage
0.52 x 100 = 52%
Answer:
About 52%
Step-by-step explanation:
Please answer this correctly is the answer
7:33pm
1:33pm
4:33pm
6:57am
Answer:
the answer should be 1:38 pm, but if not, 1:33 pm is correct
Answer:
1:33 PM
Step-by-step explanation
When the plane arrives in Salt Lake City, the time in eastern time period should be 15:33 or 3:33 PM. From eastern time period to the mountains, the time should decrease by 2 hours. 3:33 - 2 hours is 1:33. 1:33 is still in the afternoon so the answer is 1:33 PM.
The purchase price of a camcorder is $678. What is the total price if the sales tax rate is 9.5%?
Answer:
The sales price of the camcorder is $742.41 .
Step-by-step explanation:
The Cost Price of camcorder = $678
The sales Tax = 9.5%
Now, 9.5% of the cost price $678 = [tex]\frac{9.5}{100} \times (678) = 64.41[/tex]
⇒ The sales tax on the camcorder = $64.41
SALES PRICE = COST PRICE + SALES TAX
= $678 + $64.41
= $742.41
or, sales price =$742.41
Hence, the sales price of the camcorder is $742.41 .
How to substitute for -5x+3y=51 and y=10x-8
Answer:
x=3, y=22. (3, 22).
Step-by-step explanation:
-5x+3y=51
y=10x-8
----------------
-5x+3(10x-8)=51
-5x+30x-24=51
25x-24=51
25x=51+24
25x=75
x=75/25
x=3
y=10(3)-8
y=30-8
y=22
The value of x is 3 and y is 22.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
-5x+3y=51 ..........(1)
y=10x-8 .............(2)
Put the value of y from equation (2) in equation (1) we get
-5x+ 3(10x - 8)= 51
-5x + 30x - 24 = 51
25x = 51+ 24
25x = 75
x= 3
and, y= 10(3)- 8= 30 -8 = 22
Hence, the value of x is 3 and y is 22.
Learn more about Equation here:
https://brainly.com/question/29657983
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From end zone to end zone in football field is 120 yards long how long is the football field in feet
Answer:
1,440 feet
Step-by-step explanation:
there are 12 feet in one yard
you have 120 yards so you need to multiply 120*12
you would get 1,440
Answer:
360 feet
Step-by-step explanation:
1 yard = 3 feet
120 yard x 3 = 360 feet
Create your own cubic trinomial. You can type exponents like this: x6 as x6.Cubic trinomial:
Answer:
[tex]3x^{3}-2x^{2} +6x[/tex]
Step-by-step explanation:
The cubic trinomial is in this form :
[tex]Ax^{3}+Bx^{2} +Cx[/tex]
So, instead A, B, and C we can use any number.
We use :
A=3
B=2
C=6
[tex]3x^{3}-2x^{2} +6x[/tex]
A cubic polynomial has a degree of 3.
Since 3 is the highest degree, the polynomial could contain terms with degree 2, 1, or 0 (quadratic, linear, or constant).
A trinomial can have only 3 terms.
Including terms with degrees of 3, 2, 1, and 0 would mean the polynomial has 4 terms.
The cubic trinomial could consist of a cubic, quadratic, and linear term, with no constant term.
What is the slope of the line that contains these points?
Each increase of 1 in x decreases y by 7, i.e. increases y by -7. That's a slope of
Answer: -7
Answer:
[tex] -7[/tex]
Step-by-step explanation:
Use the rise over run equation
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
Find the value of c that completes the square.
a2 + 12a + c
Answer:
c = 36
Step-by-step explanation:
Given
a² + 12a + c
To complete the square
add ( half the coefficient of the a- term )² to a² + 12a
a² + 2(6)a + 6²
= (a + 6)² + 36
Hence the value of c = 36
How to graph x-4y=-4
Answer:
Step-by-step explanation:
Re-write the equation, for convinience, as
y = 1/4(x) + 4
set x = 0 to get y = 1 and set y = 0 to get x = -4.
You have the coordinates of 2 points, (0 , 1) and ( -4 , 0).
Join the two points which obviously cuts the y-axis at y = 1,
if p^3 is 0.027, what is p's value
Answer:
0.3
Step-by-step explanation:
To find p we require the cube root of 0.027, that is
p³ = 0.027, then
p = [tex]\sqrt[3]{0.027}[/tex] = [tex]\sqrt[3]{\frac{27}{1000} }[/tex] = [tex]\frac{3}{10}[/tex] = 0.3
what is three half squared as a fraction
Final answer:
Three half squared is (3/2)², which equals 9/4 when you square the numerator (3² = 9) and the denominator (2² = 4) separately.
Explanation:
The expression 'three half squared' refers to the quantity (3/2) squared. To square a fraction, you square the numerator and the denominator separately. Therefore, (3/2) squared is (3 squared) over (2 squared), which is 9 over 4. Since there are no further simplifications to make, 9/4 is the final answer as a fraction.
To understand this conceptually, think about the process of squaring as finding the area of a square with side lengths of the original number. So, if the side length of a square is 3/2, the area (which represents the square of the number) will be 9/4 square units.
Final answer:
To determine what three-half squared is as a fraction, you simply square the numerator and denominator separately, arriving at the fraction 9/4.
Explanation:
Calculating Three-Half Squared as a Fraction
To find what three half squared is as a fraction, you square both the numerator and the denominator of the fraction 3/2. When you square the numerator (3), you get 9, and when you square the denominator (2), you get 4. Therefore, the answer to three half squared is 9/4, as we have calculated (3/2)² = (3²)/(2²) = 9/4.
This calculation is similar to understanding that if you start with half of a pie and you multiply this amount by itself, you are essentially getting a fraction of the original whole. In our example, by squaring half, we get a quarter, thereby following the intuitive sense of fractions.
In ∆ABC the angle bisectors drawn from vertexes A and B intersect at point D. Find ∠ADB if:
m∠A = α , m∠B = β
Answer:
The measure angle ADB = 180 - (α/2+ β/2)
Step-by-step explanation:
measure angle A is α degrees, this means that, the angle bisector divides the angle into two equal angles each of measure α/2 degrees
measure angle B is β degrees, this means that the angle bisector divides the angle into two equal angles each of measure β/2 degrees
In triangle ADB, we know that the sum of all measure of a triangle is 180 degrees and we have measure angle MAB = α/2 degrees and measure angle MBA = β/2 degrees
Therefore,
measure angle ADB = 180 - (α/2+ β/2)
hey how to do this and what the answer
Answer:
5x + y - 4 = 0
Step-by-step explanation:
When we are given two points and are asked to find the equation of the line we use the two - point form.
Two - point form: [tex]$ \frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1} $[/tex].
where: [tex]$ (x_1,y_1) $[/tex] and [tex]$ (x_2,y_2) $[/tex] are the two points on the line.
Given the two points are: (5,21) and (-5,-29).
Substituting in the two point form:
⇒ [tex]$ \frac{y - 21}{-29 - 21} = \frac{x - 5}{-5 -5} $[/tex]
[tex]$ \implies \frac{y - 21}{-50} = \frac{x - 5}{-10} $[/tex]
[tex]$ \implies y - 21 = 5x - 25 $[/tex]
⇒ 5x + y - 4 = 0
-2(a + 16) = 2
Do I guys know the answer and work to this
Answer:
a = - 17
Step-by-step explanation:
Given
- 2(a + 16) = 2 ( divide both sides by - 2 )
a + 16 = - 1 ( subtract 16 from both sides )
a = - 17
Answer:
a=-17
Step-by-step explanation:
-2(a+16) =2
-2a-32=2
+32 +32
-2a=34
divided in both sides by -2
a=-17
1192 people per square mile in New Jersey and a national average of 86.4 Americans per square mile in 2012
Answer:
First number is 1379.63% of the second number.
Step-by-step explanation:
Consider the provided information.
1192 people per square mile in New Jersey.
The national average is 86.4.
We need to 1192 people per square mile in New Jersey is how much % of a national average of 86.4 Americans per square mile in 2012.
Let 1192 is x percent of 86.4.
[tex]1192=\frac{x}{100}\times 86.4[/tex]
[tex]x=\frac{1192\times 100}{86.4}[/tex]
[tex]x=\frac{119200}{86.4}[/tex]
[tex]x\approx 1379.63\%[/tex]
Hence, first number is 1379.63% of the second number.
Blaine buys 2 books and the total cost is $24.18 What is the constant of proportionality that
relates the cost in dollars y, to the number of books X?
I’ll give Brainly answer quick!!
Answer:
$12.09
Step-by-step explanation:
formula; Y= kx
where; y = $24.18
x = 2 books
k = constant of proportionality
Step 1. Do the equation based on the data given
Y = kx
$24.18 = k2
Step 2. Compute the mathematical equation. Divide both sides by 2 to eliminate coefficient in the variable.
24.18 =k2
2
k = $ 12.09 is the constant of proportionality cost in dlooars per book
Hank is buying a shirt that originally cost $25.00. It was on sale two weeks ago for 10% off. Today, it is an additional 20% off the original price. How much is the shirt now?
Answer:
$18
Step-by-step explanation:
The initial price is $25
When the first 10% is off, the new amount is (100 - 10)% x 25
= 0.9 x 25
= 22.5
With an additional 20%
the new amount is (100 - 20)% x 22.5
= 0.8 x 22.5
= $18
The final price of the shirt is $18.00.
To find the final price of the shirt, we need to apply the discounts consecutively to the original price.
First, we calculate the discount from two weeks ago, which was 10% off the original price of $25.00. A 10% discount is the same as multiplying the price by 0.9 (since 100% - 10% = 90%, or 0.9 in decimal form).
So, after the first discount, the price of the shirt is:
[tex]\[ \text{Price after first discount} = 25 \times 0.9 = 22.50 \][/tex]
Next, we apply the additional 20% discount to the original price, not to the already discounted price.
This means we calculate 20% of $25.00 and subtract that from the original price. A 20% discount is the same as multiplying the price by 0.8 (since 100% - 20% = 80%, or 0.8 in decimal form).
So, after the second discount, the price of the shirt is:
[tex]\[ \text{Price after second discount} = 25 \times 0.8 = 20.00 \][/tex]
However, since the second discount is additional, we need to apply it to the already discounted price of $22.50.
Therefore, we calculate 20% of $22.50 and subtract that from $22.50.
[tex]\[ \text{Additional discount amount} = 22.50 \times 0.2 = 4.50 \][/tex]
[tex]\[ \text{Price after additional discount} = 22.50 - 4.50 = 18.00 \][/tex]
Thus, the final price of the shirt after both discounts is $18.00.
Please help! I’ll mark you as brainliest if the answer is correct
After the 3% raise she is earning 10,400.
This means 40,400 is 103% of her pay leat year.
To find how much she made last year, divide her new pay amount by 103%:
40,400 / 1.03 = 39,223.30
Her pay last year was $39,223.30
Shirley and her family ate out last night.the bill was $95 including tax. If the tax was 8.25%, what is the total price?
Answer:
$87.76
Step-by-step explanation:
108.25/100 = 95/x
95×100=9500
9500÷108.25=87.76
To find the total price including tax after a meal at a restaurant, convert the tax rate to a decimal, then multiply it by the total cost and add the result to the original total cost.
Explanation:First, find the amount of sales tax. To do this, convert the percent to a decimal by dividing by 100: 8.25% = 0.0825.
Then multiply the total cost by the decimal tax rate to get the tax amount. In this case, $95 * 0.0825 = $7.8375.
Next, add the tax amount to the original total cost to find the total price: $95 (original cost) + $7.8375 (tax) = $102.8375.
Therefore, the total price, including tax, for Shirley and her family's meal last night was $102.84.
62. A roof in the e
escape through it
side BC is 9.8 m, and
in the shape of a rectangular pyramid is going to be filled with insulation so that heat does not
through it. The dimensions of the attic are shown in the following diagram. Side AB is
BC is 9.8 m, and side EC is 12.9 m. Answer the following questions to determine the heign
the attic. Round your answers to one decimal place.
s to determine the height, EF of
12.9 m
9.8 m
14.6 m
a) To find the height of EF using the Pythagorean Theorem, you first have to find the distance
(Hint: start by determining the length of AC, then you can figure out the length of Ch)
CF=
b) Determine the length of EF.
Answer:
9.4m
Step-by-step explanation:
Let the diagram of the rectangular pyramid be as shown in the attached
If a point C' is selected midway between C and B and F' is selected midway between D and C as shown in pyramid 2
FC can then be computed using pythagoras theorem such that
FC^2 = FC'^2 + CC'^2
FC^2 = (14.6/2)^2 + (9.8/2)^2
FC^2 =53.29 + 24.01
FC^2 = 77.3
FC = sqrt(77.3) = 8.8
To determine the height of the attic, we estimate EF, Pythagoras theorem can be used for triangle EFC
such that EC^2 = EF^2 + FC^2
therefore EF^2 = EC^2 - FC^2
EF^2 = 12.9^2 - 8.8^2
EF^2 = 166.41 - 77.44
EF^2 = 88.97
EF = sqrt(88.97)
EF = 9.4
The height of the attic is therefore 9.4m
Which of the following is true of vertex-edge graphs.
(1)They can model real-world problems.
(2)They can all be solved.
(3)Euler paths are the same as Hamilton paths.
(4)All vertices must be used once in Hamilton circuits.
Final answer:
Vertex-edge graphs can model real-world problems, not all graphs can be solved, Euler paths and Hamilton paths are different, and in a Hamilton circuit, all vertices must be used exactly once.
Explanation:
Vertex-edge graphs, also known as graphs or networks, are mathematical structures that consist of vertices (also called nodes) connected by edges. They are widely used to model real-world problems across various fields such as computer science, transportation planning, and social networks, among others (1). While some vertex-edge graphs can be solved, it is not true that all graphs can be solved. Solvability depends on the specific problem being represented by the graph and the algorithms or methods used to solve it (2). Euler paths and Hamilton paths are not the same. An Euler path is a path in a graph that visits every edge exactly once, while a Hamilton path visits every vertex exactly once (3). In a Hamilton circuit, all vertices must be used exactly once, but not in a Hamilton path. There can be more than one Hamilton path in a graph, depending on its structure (4).
hool.
uch
2. The length of a room is 10 feet. What is the
length of the room in inches?
Answer:
30
Step-by-step explanation:
1 foot=3 in
10*3=30 there,easy
Answer:
Should be 120 inches
Step-by-step explanation:
1 feet = 12 inches
10 feet = 12( inches) × 10 (feet)
Therefore, the formula should be:
12×10
=120 ( inches)
Hope it helps!
What numbers add up to 3 but multiply -18
Answer:
-3 and 6
Step-by-step explanation:
-3 + 6 = 3
-3 * 6 = -18
Final answer:
The two numbers that add up to 3 and multiply to -18 are 6 and -3. By setting up equations based on these conditions and solving them, we determine these two numbers.
Explanation:
The question asks about two numbers that when added together equal 3, and when multiplied together equal -18. To find these numbers, we need to set up a system of equations based on the given conditions:
Let the two numbers be x and y.
The sum of x and y is 3: x + y = 3.
The product of x and y is -18: xy = -18. Let's use factorization and proceed as follows:
Assume y = 3 - x.
Substitute y into the second equation: x(3 - x) = -18.
This simplifies to x2 - 3x - 18 = 0.
Factor the quadratic: (x - 6)(x + 3) = 0.
So, x = 6 or x = -3.
Using x + y = 3, if x = 6, then y = -3. If x = -3, then y = 6.
The two numbers that satisfy the given conditions are 6 and -3.