Answer:
4 cm, 7 cm, 11 cm
Step-by-step explanation:
The sum of two shorter sides of a triangle is always greater than the larger side.
1 cm + 5 cm < 7 cm ( can't be the third side )
5 cm + 4 cm > 7 cm ( can be )
5 cm + 7 cm > 7 cm ( can be )
5 cm + 7 cm > 11 cm ( can be )
5 cm + 7 cm < 13 cm ( can't be )
5 cm + 7 cm < 15 cm ( can't be )
Elias purchases a home for $38,900. The value of the home, in thousands of dollars, since his purchase is shown in the table. A 2-column table with 6 rows. The first column is labeled years since purchase with entries 0, 5, 10, 15, 20, 25. The second column is labeled value (thousands of dollars) with entries 38.9, 62.4, 89.3, 145.2, 210.8, 326.5. Find an exponential function that models the data. Round numerical values to the nearest hundredth. Let x be the number of years since the purchase. The function f(x) = ( )x models the data. Use the model to predict the home’s value. After 12 years, the home’s value will be about $ thousand. After 35 years, the home’s value will be about $ thousand.
Answer:
f(x)=39.59 (1.09)
Use the model to predict the home’s value.
After 12 years, the home’s value will be about $
111 thousand.
After 35 years, the home’s value will be about $
808 thousand.
Step-by-step explanation:
Edge 2021 :)
A function assigns the values. After 35 years, the home’s value will be about $215.079.68 thousand.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A general exponential equation is given as,
y = A(1+b)ˣ
Now, if x is the number of years since the purchase. And we substitute the value of the x and y from the table. Then we can write,
38.9 = A(1+b)ˣ
A = 38.9
Therefore, the equation can now be written as,
y = 38.9(1+b)ˣ
Substitute the second point in the equation,
y = 38.9(1+b)ˣ
62.4 = 38.9(1+b)⁵
1.604113 = (1+b)⁵
1+b = 1.09912
b= 0.09
Hence, the function that can model the value of the house after x years is y=38.9(1.09)ˣ.
B.) Now the value of the house after 12 years,
y=38.9(1.09)ˣ
y=38.9(1.09)¹²
y = 109.41
The home’s value will be about $ 109.41 thousand.
C.) After 35 years, the home’s value will be,
y=38.9(1.09)ˣ
y=38.9(1.09)¹⁰⁰
y = 215.079.68
After 35 years, the home’s value will be about $215.079.68 thousand.
Learn more about Function:
https://brainly.com/question/5245372
#SPJ2
Sami opened an account with a deposit of $4,000.
• The bank pays 3.5% annual simple interest on this account
• Sami did not make any additional deposits or withdrawals.
How long will it take for Sami to earn $2,100 in interest on this
account?
835.71$
Step-by-step explanation:
is the answer just done it
what is the area of the triangle? no links just the answer plz.
Answer:
A = 25
Step-by-step explanation:
Base = |-2-(-7)| = |-2+7| = 5
equation of the line that includes the base
x = 6 (because it is parallel to y axis)
the height passes to the point (-4,-4) and must be perpendicular to the base
the equation of the line of the base hasn’t the slope expressed, so the line of the height has a slope equal to 0
so the equation of the line is y= -4
the point (6,-4) is where the two lines intercept and it is the point where the height hit the base
height = |-4-6| = 10
A = (base x height)/2 = (5x10)/2 = 25
Three times Francis' age plus five times Earl's age is 230. Earl is also four times Francis age. How old is Earl?
Answer:
E = 40 years
Step-by-step explanation:
Let the age of Francis be F.
Let the age of Earl be E.
Translating the word problem into an algebraic expression, we have;
3F + 5E = 230 ......equation 1
E = 4F .......equation 2
To find the value of F;
Substituting eqn 2 into eqn 1, we have
3F + 5(4F) = 230
3F + 20F = 230
23F = 230
F = 230/23
F = 10 years
Now, to find the value of E;
From eqn 2;
E = 4F
Substituting the value of "F" we have;
E = 4*10
E = 40 years
Therefore, Earl is 40 years old.
The radius of a circle is 10 m. Find the circumference to the nearest tenth.
Answer:
[tex] \bf \large 60 \: m[/tex]
Step-by-step explanation:
Given that :The radius of a circle is 10 m.to find :Find the circumference to the nearest tenth.formulas used :circumference = 2 × π × rwhere,π = 22/7
r = 10 m
explanation :⟼ c = 2πr
⟼ c = 2 × 22/7 × 10 m
⟼ c = 2 × 3•14 × 10m
⟼ c = 6•28 × 10 m
⟼ c = 62•8 m
Round to the nearest tenth :⟼ c = 62•8 m
⟼ c = 60 m
∴ circle circumference is 60 m.
Help me!!!!!!!!!!!! And look at the picture plzzzz!!!!
Answer: 72
Step-by-step explanation:
Set it up as a ratio
[tex]\frac{12}{15} =\frac{x}{90} \\15x=1080\\x=72[/tex]
can someone please figure this out for me or at least explain this because im lost here
Let f(x)=3x+2, g(x)=x3−3x2+2x+11, and h(x)=x2−3. Perform the following operations.
a) g(-2)=
b) h(-1)=
c) g(x) - h(x)=__x^3 +__x^2+__x+__
d) -2f(x) * h(x)= __x^3+__x^2+__x+__
e) f(h(x)) = __x^2+__x+__
f) f(g(x)) =__x^3+__x^2+__x+__
Answer:
Step-by-step explanation:
the concepts are confusing of what a function is. f(x) seems mysterious , huh
it's just a way to give a label to some set of terms. Just think of it as a name of a person, but in a generic sense, like hey "guy" or hey "gal" you can address many people that way. f(x) is doing that same thing addressing by a name, a set of math terms.
a)
in a) we are addressing the g(x) function and we are also sending that function the number -2 as an input. so find the g(x) function and put in (-2) everywhere that there is an "x" , so
g(x)=[tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11
g(-2) = [tex](-2)^{3}[/tex]-3[tex](-2)^{2}[/tex]+2(-2)+11
g(-2) = -8 -3(4) - 4 +11
g(-2) = -8 -12 -4 + 11
g(-2) = -24 + 11
g(-2) = -13
b)
h(-1) find the h(x) function and input a negative 1 where ever there is an x
h(x) =
h(-1) = [tex](-1)^{2}[/tex] - 3
h(-1) = 1 - 3
h(-1) = -2
c)
for c) just combine like terms of the two given functions
g(x) - h(x) = [tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11 - ([tex]x^{2}[/tex] - 3)
g(x) - h(x) = [tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11 - [tex]x^{2}[/tex] + 3
g(x) - h(x) = [tex]x^{3}[/tex]-4[tex]x^{2}[/tex]+2x + 14
d)
-2f(x) - h(x) = -2(3x + 2) - ([tex]x^{2}[/tex] - 3)
-2f(x) - h(x) = -6x - 4 - [tex]x^{2}[/tex] + 3
-2f(x) - h(x) = -6x - 1 - [tex]x^{2}[/tex]
-2f(x) - h(x) = - [tex]x^{2}[/tex] - 6x - 1
e)
f(h(x)) this gets a bit more confusing b/c it's a composition of functions, that's just a fancy way of saying the functions are nested. one inside the other.
f(x) = 3x + 2
h(x) = [tex]x^{2}[/tex] - 3
plug h(x) in to f(x) where ever there is an x in f(x) , luckily there is only one x in f(x) :)
f(h(x)) = 3([tex]x^{2}[/tex] - 3) + 2
f(h(x)) = 3[tex]x^{2}[/tex] - 9 + 2
f(h(x)) = 3[tex]x^{2}[/tex] - 7
f(h(x)) = 3[tex]x^{2}[/tex] + 0x + (-7)
f)
f(x) = 3x + 2
g(x) = [tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11
f(g(x)) = 3([tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11) + 2
f(g(x)) = 3[tex]x^{3}[/tex]-9[tex]x^{2}[/tex]+6x + 33 + 2
f(g(x)) = 3[tex]x^{3}[/tex]-9[tex]x^{2}[/tex]+6x + 35
Hope that helps :)
Evaluate the polynomial for x = -2.
x² - 9x+7
Answer:
Hi! The answer to your question is [tex]29[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Compare areas: the side of a square is 14 m long. If all four size increased by 5, how my how much is the area increase?
The areas from _____ m^2 to _____ m^2, which is an increase of _____ m^2.
9514 1404 393
Answer:
196361165Step-by-step explanation:
The original side length is 14 m, so the area is (14 m)² = 196 m².
The longer side length is 14 m + 5m = 19 m, so the area is (19 m)² = 361 m².
The increase in area is ...
361 m² -196 m² = 165 m²
The area increases from 196 m² to 361 m², which is an increase of 165 m².
Answer:
The areas from 196 m² to 361 m², which is an increase of
165 m²
In 2009 Zambrano's salary was 18,750,000. He pitched in 28 games in 2009. What was his salary per game in 2009? Round to the nearest cent.
Answer:
his salary per game is 669,643
Step-by-step explanation:
The computation of the salary per game in the year 2009 is shown below
Given that
His salary in the year 2009 is 18,750,000
And, he pitched 28 games in the year 2009
Based on the above information
His salary per game is
= 18,750,000 ÷ 28 games
= 669,643
hence, his salary per game is 669,643
The same is relevant
Help help help help help help
Answer:
More than for the first box and less than for the second.
In an effort to test the hypothesis that the proportion of voters in the younger than 40 year old age bracket who will vote for a particular politician is different than the proportion voters in the above 40 age bracket, the following data was collected. Test hypothesis at 0.10 level of significance.
Population Number Who Will Vote for Politician Sample Size
Below 40 348 700
Above 40 290 650
Required:
a. Reject the Null Hypothesis and condlude that the proportion of voters in the younger than 40 year oid age bracket who will vote for a particular different than the proportion voters in the above 40 age bracket.
b. Do not reject the Null Hypothesis and conclude that the proportion of wotors in the younger than 40 year old age bracket who will vote for a particular politician is not different than the proportion voters in the above 40 age bracket.
Answer:
We reject H₀ we support the claim that the two proportion are different
Step-by-step explanation:
Younger than 40 years old
Sample size n₁ = 700
x₁ = 348
p₁ = 348 / 700 p₁ = 0,497 p₁ = 49,7 %
Above 40 years old
Sample size n₂ = 650
x₂ = 290
p₂ = 290/ 700 p₂ = 0,414 p₂ = 41,4 %
p = ( n₁*p₁ + n₂*p₂ ) / n₁ + n₂
p = 700 * 0,497 + 650 * 0,414 ) / 700 + 650
p = ( 347.9 + 269,1 ) / 1350
p = 0,457 p = 45,7 %
q = 1 - p q = 54,3 % q = 0,543
CI is 90 % significance level is 10 % α = 10 % α = 0,1 α/2 = 0,05
zscore for α/2 from z- table is : z(c) = 1,64
Test Hypothesis
Null Hypothesis H₀ p₁ = p₂
Alternative Hypothesis Hₐ p₁ ≠ p₂
To calculate z(s) = ( p₁ - p₂ ) / √ pq/n₁ + pq/ n₂
p₁ - p₂ = 0,497 - 0,414 = 0,083
√ pq/n₁ + pq/ n₂ = √ 0,457*0,543/ 700 + 0,457*0,543/ 650
√ pq/n₁ + pq/ n₂ = √ 3,545*10⁻⁴ + 3,82 * 10⁻⁴
√ pq/n₁ + pq/ n₂ = 2,71 * 10⁻² = 0,0271
z(s) = 0,083/ 0,0271
z(s) = 3,06
Comparing z(s) and z(c)
|z(s)| > |z(c)|
Then z(s) is in the rejection region and we reject H₀
2.(03.01 LC)
which expression is equivalent to 21 + 49? (5 points)
O 7(3 + 49)
7(3 + 7)
7(14 + 42)
7(14 + 49)
30302 MC)
I need help I already failed the first attempt
Step-by-step explanation:
Hi,
y - 1 = 2 - x has a negative slope.
x + y = 0 has a negative slope.
y = 4x - 3 has a positive slope.
y = 1 has a 0 slope.
x = 10 has an undefined slope.
I hope this helps :)
Write an expression for "six minus b".
Please help!!
Answer:
6 - b
Step-by-step explanation:
b doesn't have a value.
Suppose you buy a CD for $300 that earns 3% APR and is compounded
quarterly. The CD matures in 5 years. Assume that if funds are withdrawn
before the CD matures, the early redemption fee is 3 months' interest. What is
the early redemption fee on this account?
A. $1.50
B. $6.00
C. $2.25
D. $3.75
The early redemption fee on this account is $2.25.
What is APR?The annual percentage rate (APR) is the interest generated by a sum charged to borrowers or paid to investors each year. APR is a number that shows the actual yearly cost of funds throughout the life of a loan or the revenue received on an investment. This includes any fees or additional costs linked with the transaction but excludes compounding. The APR provides consumers with a single number that they may use to compare lenders, credit cards, and investment products.
We buy a CD for $300 that earns 3% APR and is compounded quarterly.
So, The early withdrawal fee is equivalent to 3 months' interest.
= (APR / 12) X 3
= APR / 4
= 3% / 4
= 0.03/ 4
= 0.75
and, the Early withdrawal fee = 0.75 x $300
Thus, the redemption fee is
= 0.0075 x $300
= $2.25
learn more about interest here:
brainly.com/question/26164549
#SPJ7
A.11.1
B.12.7
C.9.2
D.8.5
Answer: B. 12.7
Step-by-step explanation:
Answer:
D.8.5
Step-by-step explanation:
38.4/2=
19.2 L
19.2-10.7=
8.5
hope this helps ; )
calculate the number of sides of a regular polygon with sum interior angles of 2160°.
Answer:
14 sides
Step-by-step explanation:
The sum of all interior angles of a polygon = (n - 2)180°
2160° = (n - 2)180°
[tex]n - 2 = \frac{2160 \degree}{180 \degree} \\ \\ n - 2 = 12 \\ \\ n = 12 + 2 \\ \\ n = 14[/tex]
Hence, the polygon has 14 sides.
Hey guys!!! I forgot how to do this :/ lol
whats 10+4÷2?
Answer:
12
Step-by-step explanation:
Solve the equation 5x^2-12x-5=-3x to the nearest tenth
Answer:it’s x=(2.2, -0.4)
Step-by-step explanation:
Jenny has $120 to spend on parking and admission to the county fair. The parking will cost $9, and the
admission will cost $18.50 per person, including tax
Answer:
what is your question to help you
someone please help me im timed
Answer:
C
Step-by-step explanation:
All sides of a square are equal.
.........................
Answer:
lol
Step-by-step explanation:
Khan uses 78ft of fence for a pen and the length is 25ft. What is the width
Answer:
The width is 14ft
Step-by-step explanation:
Given
[tex]Fence = 78[/tex]
[tex]Length = 25[/tex]
Required
Determine the width
To do this, we assume that the fence is a rectangle
So, we use the following formula.
[tex]Perimeter = 2 * [Length + Width}[/tex]
Where:
[tex]Perimeter = Fence = 78[/tex]
So, we have:
[tex]78= 2 * [25 + Width}[/tex]
Divide both sides by 2
[tex]39= 25 + Width[/tex]
Solve for Width
[tex]Width = 39 - 25[/tex]
[tex]Width = 14[/tex]
An attic wall is in the shape of a trapezoid. The bases are 12 ft and 25 ft. The area is 185 square feet. What is the height? A = 1/2 h (b + b)
Answer: b = 2A - B
Step-by-step explanation:
2. A = 2 . 1/2 . h (B + b)
2A = h (B+b)
2A/= h/h . (B+b)
2A/h = B+b
2A - B = B - +b
b = 2A - B
A concrete pilar has the shape of a svinder It has a diameter of 6 meters and a height of 5 meters. If concrete costs $108 per cubic meter, how much did the
concrete cost for the pillar?
If necessary, refer to the list of cometry formulas
For your calculations, do not round any intermediate stops, and use the it button on the ALEKS calculator Round your answer to the nearest cent.
Answer:
The cost of concrete for the pillar would be $ 15,260.40.
Step-by-step explanation:
Given that a concrete pillar has the shape of a cylinder and it has a diameter of 6 meters and a height of 5 meters, if concrete costs $ 108 per cubic meter, to determine how much did the concrete cost for the pillar the following calculation must be done, knowing that the volume of a cylinder is calculated with the following formula = πxr²xh:
3.14 x (6/2) ² x 5 = X
3.14 x 3² x 5 = X
3.14 x 9 x 5 = X
3.14 x 45 = X
141.3 = X
141.3 x 108 = X
15,260.4 = X
Therefore, the cost of concrete for the pillar would be $ 15,260.40.
Mrs. Smith cut an apple pie into 8 slices and a blueberry pie into 12 slices. She served
6 slices of the apple pie and 7 slices of the blueberry pie. Which correctly compares the
amounts of pie Mrs. Smith served?
Answer:
6/8>7/12
Step-by-step explanation:
6/8>7/12
36/48>28/48
I think
1. Gina saved 3,000 in an account that offered 3.8% simple interest for 240 days. Find the accumulated amount using ordinary simple interest. (3076)
Answer:
3,114 in 240 days
Step-by-step explanation:
3000 x 0.038=114
114+3000=3114
Katie worked 40.5 hours this week. She makes $8 per hour. How much money did she earn this week?
Answer:
$324
Step-by-step explanation:
if
=> 1hr = $8
then,
=> 40.5 x 8 = 324
=> 40.5 hr = $324
She earned $324 this week.
hope this helps and is right :)
Answer:
$324
Step-by-step explanation:
So, First we have to establish what we are solving for, in this equation we are solving for how much money Katie made this week after working 40.5 hours at a salary of $8 per hour.
To find how much Katie made we have to multiply 40.5 and 8!
Let's make it easier by splitting 40.5 into 40 and 0.5
40 × 8 = 320
0.5 × 8 = 4
320 + 4 = 324
Katie made $324 this week!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
look at pic 10 pts will mark brainilest