Answer:
One solution
Step-by-step explanation:
-7p - 16 = -17p + 8 + 12p
-7p-16=-5p+8
-7p+5p=8+16
-2p=24
p=-12
Find the length of the third side. If necessary, round to the nearest tenth.
17
25
Answer:
the real answer is 48 but if you round it to the nearest tenth it's 50
Step-by-step explanation: I hope my answer helps, if it does help can I get the brainliest answer, thanks.
You guessed the height of the building to be 23 feet, but it was actually 35 feet. What was your percent error? Round to the nearest WHOLE percent
please round to WHOLE
Answer:
34%
Step-by-step explanation:
35 - 23 = 12, so the guess is off by 12/35.
To find the percentage, divide 12 by 35, which is approximately 34%.
I want you to do a linear and exponential model for Yakima's Population. Use the DATA below: in 1990 => P0 = 64792 in 2010 => P20 = 91646 A) Find the linear model of population growth. B) Predict the population for 2050. C) Find the exponential model of population growth. D) Predict the population for 2050. E) Which one seems more realistic?
Answer:
(a) [tex]P(x) = 1342.7x + 64792[/tex]
(b) [tex]P(60) = 145354[/tex]
(c) [tex]P(x) = 64792 *1.0175^x[/tex]
(d) [tex]P(60) = 183491[/tex]
(e) The exponential model is more realistic
Step-by-step explanation:
Given
[tex]1990 ==> P_0 =64792[/tex]
[tex]2010 ==> P_{20} =91646[/tex]
Solving (a): The linear model of the population growth
First, we calculate the slope of the function.
[tex]m = \frac{P_{20} - P_0}{20 - 0}[/tex]
[tex]m = \frac{91646 - 64792}{20 - 0}[/tex]
[tex]m = \frac{26854}{20}[/tex]
[tex]m = 1342.7[/tex]
The linear equation is then calculated using:
[tex]P(x) - P_0 = m(x - x_0)[/tex]
[tex]P(x) - 64792 = 1342.7(x - 0)[/tex]
[tex]P(x) - 64792 = 1342.7(x)[/tex]
[tex]P(x) - 64792 = 1342.7x[/tex]
Make P(x) the subject
[tex]P(x) = 1342.7x + 64792[/tex]
Solving (b): The population in 2050
First, calculate x:
[tex]x = 2050 - 1990[/tex]
[tex]x = 60[/tex]
Substitute 60 for x in [tex]P(x) = 1342.7x + 64792[/tex]
[tex]P(60) = 1342.7 * 60 + 64792[/tex]
[tex]P(60) = 80562 + 64792[/tex]
[tex]P(60) = 145354[/tex]
The population in 2050 is 145354
Solving (c): The exponential model of the population growth
An exponential model is:
[tex]y = ab^x[/tex]
In this case, it is:
[tex]P(x) = P_0 * b^x[/tex]
For x = 20, we have:
[tex]P(20) = P_0 * b^{20[/tex]
Substitute values for P(20) and P0
[tex]91646 = 64792 * b^{20[/tex]
Divide both sides by 64792
[tex]\frac{91646 }{64792} = \frac{64792 * b^{20}}{64792}[/tex]
[tex]\frac{91646 }{64792} = b^{20}[/tex]
[tex]1.41446474873 = b^{20}[/tex]
Take the 20th root of both sides
[tex]\sqrt[20]{1.41446474873} = b[/tex]
[tex]b = \sqrt[20]{1.41446474873}[/tex]
[tex]b = 1.0175[/tex]
So, the model is:
[tex]P(x) = P_0 * b^x[/tex]
[tex]P(x) = 64792 *1.0175^x[/tex]
Solving (d): The population in 2050
First, calculate x:
[tex]x = 2050 - 1990[/tex]
[tex]x = 60[/tex]
Substitute 60 for x in [tex]P(x) = 64792 *1.0175^x[/tex]
[tex]P(60) = 64792 *1.0175^{60[/tex]
[tex]P(60) = 64792 *2.832[/tex]
[tex]P(60) = 183490.944[/tex]
[tex]P(60) = 183491[/tex] ---- approximated
(e) The most realistic model
The exponential model is more realistic. This is so because:
The linear model grows at a constant linear rate which means that, every year a certain amount of individuals is added to the society. However, this is not always so because it is almost impossible to for growth rate to be constant
A curve in the exponential model shows that the addition of individuals in the society every year is not always constant.
Jorge builds a rectangular prism that has a volume of 42 cubic inches. Which of the following could be Jorge’s prism? (4 points)
Group of answer choices
A rectangular prism with a height of five inches, length of five inches, and a width of five inches.
A rectangular prism with a height of five inches, length of four inches, and a width of four inches.
A rectangular prism with a height of two inches, length of seven inches, and a width of three inches.
A rectangular prism with a height of six inches, length of three inches, and a width of two inches.
Answer: A rectangular prism with a height of two inches, length of seven inches, and a width of three inches.
Step-by-step explanation:
Multiply the dimensions given, then select the one that matches Jorge's required 42 in³
5×5×5 = 125
5×4×4 = 80
2×7×3 = 42
6×3×2 = 36
Answer:
A
Step-by-step explanation:
please answer correctly and quickly all question
Answer:
Step-by-step explanation:
1. 8=2x+4
8-4=2x
4=2x
x=2
2. 2x+3=9
2x=9-3
2x=6
x=3
3. 6y=54
y=54/6
y=9
5. 3= x/2
x=6
Answer:
8=2x+4
4=2x
2=x
2x+3=9
2x=6
x=3
6y=54
I'm not sure about question #4
3=x/2
6=x
Please help due today
Answer:
23 = 1
46 = 2
92 = 4
138 = 6
Step-by-step explanation:
hope this helps
Paula salió de su casa rumbo al trabajo avanzo 8km al este y 13km al norte. Si hubiera un camino recto desde su casa a su trabajo ¿Que distancia recorrería por ese camino?
Answer:
15.26km
Step-by-step explanation:
Con la informacion de la pregunta e hecho un diagrama de la situacion. Podemos ver en el diagrama que el recorido forma un triángulo rectángulo. Entonces para saber la distancia que recorreria por el camino recto desde su casa a su trabajo tendriamos que calcular el valor de x, que se puede calcular usando el teorema de pitagoras que es el siguiente.
[tex]a^{2} + b^{2} = c^{2}[/tex]
donde a y b son el ancho y el alto del triangulo y el c seria x
[tex]8^{2} + 13^{2} = x^{2}[/tex]
[tex]64 + 169 = x^{2}[/tex]
[tex]233 = x^{2}[/tex]
[tex]15.26 = x[/tex]
Finalmente, podemos ver que la distancia seria 15.26km
Please help me 15 points it’s worth it please help me on this question
Answer:
last answer
Step-by-step explanation:
Show work. Will mark branliest
Answer:10
Step-by-step explanation:
12 x 30 to see how many bottles per hour
360 x 8 to see how many it makes in a day
Divide 28,000 by 2,800 to see how many days it would take.
Step-by-step explanation:
first u will find how much bottles in 8 hours so that will be 60/2minutes =30so 30*12ottles=to 360 bottles per hour so 8*360=2,880 so u will do 28,000/2,880 it will be. 10 days of work.
pls help quick the blue lines at the bottom are the answer choices
the answer is the third option
How do I write the sum of 1 and q as an algebraic expression?
Answer:
1+Q
Step-by-step explanation:
Answer:
1 + q
Step-by-step explanation:
since sum means to add, and they give the values of 1 and q, we just need to plug it in.
Answer the photo below thanks
Answer:
you have it marked correctly-A.1,2
Step-by-step explanation:
they are the same only flipped around
Answer:
A . 1 and 2
Step-by-step explanation:
count the squares
You are schools you are a school supply shopping in together as a package of six pink pencils for 250 how much does each pencil cost
Answer:
41.67 dollars
Step-by-step explanation:
because 250/6= 41.6666666667
that rounded is 41.67 dollars
It's urgent, Please answer, Make Sure you Round it
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
460, 451,442
Find the 37th term.
Answer:
136
Step-by-step explanation:
This is an arithmetic sequence
The formula is an = a1 + f × (n-1)
n= the number we are trying to find = 37
a= the number in any given space on the sequence
a1= 460
f= the common difference between the numbers
f= -9 because you subtract 9 from each to get the number
a37= 460-9(37-1)
a37= 460-9(36)
a37= 460- 324
a37= 136
[tex] \\ [/tex]
The first three terms of a sequence are 460, 451, 442[tex] \\ [/tex]
To Find :[tex] \\ [/tex]
37th term of sequence = ?[tex] \\ [/tex]
Solution :[tex] \\ [/tex]
Clearly these three terms are making an arithmetic sequence, with :
First term, a = 460 Common difference, d = 451 - 460 = - 9[tex] \\ [/tex]
Now, we have to find 37th term of sequence = [tex] \tt a_{37}[/tex]
[tex] \\ [/tex]
Now, we know that :
[tex] \large \underline{\boxed{\bf{a_{n} = a + (n-1)d}}}[/tex]
[tex] \\ [/tex]
[tex] \tt : \implies a_{37} = a + (37-1)d[/tex]
[tex] \tt : \implies a_{37} = a + 36d[/tex]
[tex] \\ [/tex]
Now, by substituting values of a and d :
[tex] \tt : \implies a_{37} = 460 + 36 \times (-9)[/tex]
[tex] \tt : \implies a_{37} = 460 - 324[/tex]
[tex] \tt : \implies a_{37} = 136[/tex]
[tex] \\ [/tex]
Hence, value of 37th term of given sequence is 136.
jake has a recipe that uses 4 cups of flour. He has a bag with 48 cups of flour. He wants to know how many recipes he can make using the bag of
flour. He finds the answer using this number sentence:
48 4=
Which number sentence shows another way to solve this problem?
A x 4 = 48
B. 48 x = 4
C 0 : 4 = 48
D. 4: 48 = 0
Answer:
D
Step-by-step explanation:
It is just like 4/48.
Answer: b
Step-by-step explanation: b because you can multiply which 48 times 4
If Maria makes $40 each day at her job, and she gets paid $20 for a training course
Answer:
Where is the rest of the question?
Step-by-step explanation:
40x +20
The number 6545 can be written as a product of a pair of positive two digit integers. What are these two integers?
Answer:
77 and 85
Step-by-step explanation:
Since the number 6545 ends in a 5, we can assume that one of the two digit numbers ends in a 5. I tried 55, 65, 75, and 85, and I just divided 6545 by those numbers until I got a two-digit positive integer as my answer,
85 * 77 = 6545
Therefore, the answer is 85 and 77.
I hope this helps!
HELP ASAP
Will GUVE BRAINLIEST!!
Jayla and Brian are both selling cookie dough for a fundraiser. Although, Jayla has already sold 4 tubs, brian haven’t sold any yet. If jayla starts selling 1 Tun per day and brian begins selling 2 tubs per days, they will eventually sell the same amount of cookie dough, how many days will that take?
Write the expression. And solutions written as an ordered pair.
Answer:
cookie dough fundraiser is a great way to raise money for your school, team, ... selling large or small cookie dough tubs, or pre-portioned cookie dough trays.
Answer:
4 days
Step-by-step explanation:
If we say d = number of days passed, j = tubs sold by jayla and b = tubs sold by brian
j = 4 + d
because when d = 0 j must equal 4, then it goes up by 1 each day
b = 2d
because when d = 0 b must be 0, then it goes up by 2 each day
set them to be equal and solve for d
4 + d = 2d
d = 4
so after 4 days they sell the same amount which is 8
Given the sequence {2,-1,-4,-7} find a25
Answer:
-70
Step-by-step explanation:
This is an arithmetic progression with a difference of -3
Formula for AP is
Sn = a + (n - 1) d
Where
a is the first term, 2
n is the term we're looking for, 25
d is the arithmetic difference, -3
a25 = 2 + (25 - 1) -3
a25 = 2 + (24) -3
a25 = 2 - 72
a25 = -70
On average, A person spends $240 every 3 months on their cell phone bill... What would the price be for 1 month be?... How much would this person pay over the course of one year?
Pls help me asap!!
Answer:
$81 for 1 month
$972 for 1 year
Step-by-step explanation:
Answer:
$80 for one month and $960 over the course of one year
Step-by-step explanation:
240 / 3 = 80
12 x 80 = 960
f (x) = 2x g(x) = 4x + 5 Find f (x) + 3g(x)
Answer:
f(x) + 3g(x) = 14x + 15
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsFunction NotationStep-by-step explanation:
Step 1: Define
f(x) = 2x
g(x) = 4x + 5
Step 2: Find
Substitute in functions: 2x + 3(4x + 5)[Distributive Property] Distribute 3: 2x + 12x + 15Combine like terms: 14x + 152x + 5xy + 9x + 3 what is the solution to this problem?
Answer:
5xy + 11x + 3
Step-by-step explanation:
We have the expression 2x + 5xy + 9x + 3 and are asked the solution.
This is different from most standard addition problems, we have an influx of variables, since we do. We follow the like term rules, which is that we can only add the numbers that have the same variable endings, in this case, only 2x and 9x are like terms, so we add them.
2x + 9x
11x
Therefore :
5xy + 11x + 3
How many terms are in this expression?
s+3u+10=
compare the rates to find which is greater.
50 envelopes for $2.49 or
90 envelopes for $5.50
At the student store, pencils are sold in either packs of three or packs of eight.
Without opening any packages, which numbers of pencils is it possible to buy?
Which numbers are impossible?
Answer
4, 7, 5, 10, 13, .......
Step-by-step explanation:
the only numbers that are impossible to get are the non-multiples of 3 and 8
and the numbers that 8 and 3 do not add up to and the multiples of 8 and 3 do not add up to
Three quarters of the cars in a parking garage are black, 4/7 of the remaining cars are blue, and the rest are silver. If there are 9 silver cars, how many cars are in the parking garage? * 1 point
Answer:
84 cars
Step-by-step explanation:
Given that 3/4 of the cars in a parking garage are black, let the number of cars in the garage be T, then
number of black cars = 3T/4, other = T - 3T/4 = T/4
If 4/7 of the remaining cars are blue then
the number of blue cars = 4/7 * T/4 = T/7
Remaining cars = T/4 - T/7
= (7T-4T)/28
=3T/28
Given that the remaining cars are sliver and the number of silver cars is 9 then
3T/28 = 9
Cross multiply
3T = 28 * 9
Divide both sides by 3
T = 28 * 9 / 3
= 28 * 3
= 84 Car
2b - 19 = 11
Show explanation
Answer:
2b=11+19
2b=30
b=15
heyyyyyyyy guys
2b-19 = 11
+19 on each side
2b = 30
÷2 on each side so b is by itself
b=15
hope that helped^^
A bicycle has a listed price of $706.95 before tax. If the sales tax rate is 9.75%, find the total cost of the bicycle with sales tax
included.
Round your answer to the nearest cent, as necessary.
Answer:
Step-by-step explanation:
we will calculate first the sales tax
706.95*(9.75/100)=68.93
706.95+68.93= $775.88
Condense to a single logarithm : log 12 18+3 log 12 2
Answer:
2 or [tex] \log_{12} 144 [/tex]
Step-by-step explanation:
I assume 12 is the base.
[tex] \log_{12} 18 + 3 \log_{12} 2 = [/tex]
[tex] = \log_{12} 18 + \log_{12} 2^3 [/tex]
[tex] = \log_{12} (18 \times 8) [/tex]
[tex] = \log_{12} 144 [/tex]
[tex] = \log_{12} 12^2 [/tex]
[tex] = 2\log_{12} 12 [/tex]
[tex] = 2 [/tex]
The entire expression simplifies to 2, but if you need the simplest log expression, then you can use
[tex] \log_{12} 144 [/tex]
Plz help ill mark brainlest
Answer:i believe its 3 correct me if im wrong
Step-by-step explanation:
Answer:
either 6/10 or 7/10
Step-by-step explanation:
