Answer:
Step-by-step explanation:
The standard form of an exponential equation is [tex]y=a(b)^x[/tex] where y is the final count of the population after some time, x, goes by; a is the initial or starting amount of people (our unknown), and b is the growth rate. For us, y is 33620, the time is x = 2 years, and the growth rate is .025; but if we are growing we are expanding on the amount that we started with, so b = 100% + 2.5% = 102.5% and in decimal form, 1.025.
[tex]33620=a(1.025)^2\\33620=1.050625a[/tex] so
a = 32000
The initial population is 32000
what is the prime factorization of 430
Answer:
[tex]\huge \boxed{430=2 \times 5 \times 43}[/tex]
Step-by-step explanation:
Using factor tree,
Answer:
[tex]\large\boxed{2, 5, 43}[/tex]
Step-by-step explanation:
430
/ \
215 2
The 2 cannot be factorized anymore, so I will put a small box around it.
430
/ \
215 [tex]\boxed{2}[/tex]
/ \
43 5
5 and 43 cannot be factorized any smaller.
430
/ \
215 [tex]\boxed{2}[/tex]
/ \
[tex]\boxed{43}[/tex] [tex]\boxed{5}[/tex]
The prime factorization is the numbers in the boxes, which are 2, 5, and 43.
[tex]\large\boxed{2, 5, 43}[/tex]
Hope this helps :)
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Determine the slope for the equation.
[tex]y = \frac{6}{5} x - 4[/tex]
Steps would help tremendously because I wanna remember how to do these :)
Answer:
slope = [tex]\frac{6}{5}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{6}{5}[/tex] x - 4 ← is in slope- intercept form
with slope m = [tex]\frac{6}{5}[/tex]
Answer:
6/5
Step-by-step explanation:
this equation is already in the slope intercept form, meaning the slope (gradient)is the coefficient of x( the number before x). in this case it's 6/5.
I hope this helps
Which expression is equivalent to 5/2?
Answer:
B
Step-by-step explanation:
5 divided by 2 is 5/2
Answer:
B
Step-by-step explanation:
5/2 the (/) is the divide sign
Which is the equation of a parabola with Vertex (0,0) and focus (0, 2)?
a. ya = 8x
c. x2 = 8
b. y2 = 4x
d. x2 = 4y
Answer:
So the equation of the parabola is x2=8y i don't really know
A batch of hot chocolate is made with 24 teasoons of cocoa and 12 cups of milk. How many teaspoons of cocoa are needed for every cup of milk?
Answer:
2 teaspoons
Step-by-step explanation:
24 tsp/12 cups = x tsp /1 cup
Cross multiplying, we have:
12x = 24
x = 2
The solution is 2 teaspoons of cocoa
Number of teaspoons of cocoa is given by the equation A = 2 teaspoons
What is an 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.
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 data ,
Let the number of teaspoons of cocoa be represented as A
Now , the equation will be
A batch of hot chocolate is made with 24 teaspoons of cocoa and 12 cups of milk
So , for 12 cups of milk = 24 teaspoons of cocoa is required
And , for 1 cup of milk A = 24 teaspoons of cocoa is required / 12
Substituting the values in the equation , we get
Number of teaspoons of cocoa A = 24 teaspoons / 12
Number of teaspoons of cocoa A = 2 teaspoons
Therefore , the value of A is 2 teaspoons
Hence , the number of teaspoons is 2
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Triangle LMN is dilated by a scale factor of 2/3 to form triangle L’M’N. Side NL measures 48. What is the measure of side N’L’?
From deltamath.com please help I’m loss
Answer:
y(x)=2866.59*(1.06)^x
Step-by-step explanation:
Let the exponential equation be y=a*b^x. Using y(7) and y(4) we can find the value of b, y(7)/y(4)=b^3=4300/3619, b=1.06. Next, y(4)=a*(1.06)^4=3619, a=2866.59. The equation is y(x)=2866.59*(1.06)^x
In a fish tank, 1/5 of the fish are guppies and 1/12 of the fish are goldfish. Which equation most closely estimates the fraction of the fish that are guppies or goldfish in the tank.suggested answers: 1/2+1/2=1 , 1/2+1/4=3/4 , 1/4+1/4=1/2, 1/4+0= 1/4
Answer: [tex]\dfrac{1}{5}+\dfrac{1}{2}=\dfrac{7}{10}[/tex]
Step-by-step explanation:
A or B = A+B
Given: In a fish tank, [tex]\dfrac15[/tex] of the fish are guppies and [tex]\dfrac{1}{12}[/tex] of the fish are goldfish.
Then, the fraction of the fish that are guppies or goldfish in the tank=[tex]\dfrac{1}{5}+\dfrac{1}{2}=\dfrac{2+5}{5\times2}[/tex]
[tex]\dfrac{7}{10}[/tex]
Hence, the equation most closely estimates the fraction of the fish that are guppies or goldfish in the tank:
[tex]\dfrac{1}{5}+\dfrac{1}{2}=\dfrac{7}{10}[/tex]
The following frequency table shows the number of fish caught by each of Igor's family members. What was the maximum number of fish that a family member caught? _____ fish
Answer:
4
Step-by-step explanation:
The values on the left of the table represent the number of fish caught, and the number of the right of the table represents how many family members caught that amount of fish.
Therefore, the first row means that 0 family members caught 0 fish.
The second row means that 3 family members caught 1 fish.
The third row would mean 1 family member caught 2 fish.
The next row would mean 0 family members caught 3 fish.
And the final row would mean 4 family members caught 4 fish.
The question does not ask for the total amount of fish caught; rather is ask for the maximum number of fish that a single family member caught.
Therefore, the maximum amount of fish that a single family member catches is 4. (And 4 family members did so. But individually, the maximum amount of fish one person caught is 4).
Answer:
it's 1 fish
Step-by-step explanation:
i took the test
i would really appreciate it if y'all gave me an answer pls
Answer:
The answer of this question is 78°.
Step-by-step explanation:
Let angle X be denoted by y then angle Z=y (because isosceles angles of a traingle is equal)
Now,
y+y+24°=189°
2y+24°=180°
2y=180°-24°
y=156/2
y=78°
Answer:
so the answer is 78°
Step-by-step explanation:
Uhm I hope it helps
Please help me!!! I need this ASAP!!!
Answer:
number ten: x=5
number two: x=5³/5
Step-by-step explanation:
number ten:
4x + 3x - 9 = 26
4x + 3x = 26+9
7x = 35
x = 5
number two:
3x + 2x - 8 = 20
3x + 2x = 20+8
5x = 28
x = 5³/5
How do you solve number 5?
Answer:
B
Step-by-step explanation:
To get from 60 to 75, you multiply by a certain factor. That factor is 75/60 = 1.25. In percents this is 125%
60 * 125% = 75
So if 60 is 100%, then 75 is 25% more than 60.
If I have 180$ and a pack of dvds cost 18 how much can I buy
Answer:
10 packs of dvds
Step-by-step explanation:
$180 / $18 = 10 packs
You can buy a maximum of 10 dvd packs
Answer:
you can buy 10 dvds that is thr answer
Point Q is located at (-4, 6). Point R is located at (8, 6).
What is the distance from point Q to point R?
Step-by-step explanation:
Hi there!
Given;
Point Q is located at (-4, 6). Point R is located at (8, 6).
Note: Use distance formula.
Now;
[tex](d) = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]
Keep all values;
[tex](d) = \sqrt{ {(8 + 4)}^{2} + ( {6 - 6)}^{2} } [/tex]
Simplify;
[tex](d) = \sqrt{( {12)}^{2} } [/tex]
Therefore, the distance is 12 units.
Hope it helps!
What would be the 1st step in solving this problem:
(4-2+6) +9x7
Answer:
doing whatever is in the brackets or paranthesis
A balloon artist creates balloon hats for children at a store’s grand opening. The graph shows the number of balloons the artist has remaining, y, after creating x hats.
A coordinate plane showing Balloon Hat Creations. The x-axis shows Number of Balloon Hats and the y-axis shows Balloons Remaining. The straight line starts at (0. 500) and continues down and to the right through points, (50, 250) and ends at (100, 0).
What phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created? Select three options.
positive slope
negative slope
constant slope
increasing function
decreasing function
Answer:
B, C, E
Step-by-step explanation:
I just took the test
Answer:
i dont know if im correct but
Step-by-step explanation:
B, C, and E are the right ones hope it helps
19. Julio is paid 1.4 times his normal hourly rate for each hour he works over
30 hours in a week. Last week he worked 35 hours and earned $436.60. Write
and solve an equation to find Julio's normal hourly rate, r. Explain how you
know that your answer is reasonable.
Julio's normal hourly rate (r) is equal to $11.8 per hour.
Let the normal hourly rate be r.Translating the word problem into an algebraic expression, we have;
Since Julio worked for 35 hours, it simply means that he was paid r amount of dollars per hour for a period of 30 hours;[tex]30r[/tex] ......equation 1
Also, for the remaining number of hours (35 - 30), he was paid he was paid 1.4r amount of dollars per hour;[tex](35 - 30)[/tex] × [tex]1.4r[/tex] [tex]= 5[/tex] × [tex]1.4r[/tex]
[tex]5[/tex] × [tex]1.4r = 7r[/tex] .....equation 2
Next, we would equate the expressions to the total amount of money earned by adding eqn 1 and eqn 2.
[tex]30r + 7r = 436.60\\\\37r = 436.60\\\\r = \frac{436.60}{37}[/tex]
Julio's normal hourly rate, r = $11.8 per hour.
Therefore, Julio's normal hourly rate (r) is equal to $11.8 per hour.
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3,125 subtracted by what can give me 514
Answer:
2611
Step-by-step explanation:
3125-2611= 514
for more answers check my bio
Identify the reflection rule in the given figure.
A. Reflection along the line y = –1
B. Reflection along x-axis
C. Reflection along y = 1
D. Reflection along y-axis
Answer: A) Reflection along the line y = -1
===========================================================
Explanation:
Point A is at (1,5). Point A' is at (1,-7).
Apply the midpoint formula to find the center of these two points.
You should get (1,-1) as that midpoint.
Follow these steps for B(-1,3) and B'(-1,-5) to get the midpoint (-1,-1)
Those midpoints we found are located on the mirror line. We only need two such points to plot it. Drawing a line through (1,-1) and (-1,-1) graphs the equation y = -1. This is the horizontal line through -1 on the y axis.
1. The product of two consecutive numbers is 42. What are the numbers?
Answer:
6, 7
Step-by-step explanation:
6 x 7 = 42
2^12÷2^(k/2 )= 32 find k
Answer:
k = 14
Step-by-step explanation:
Prime factorize 32
32 = 2 * 2 * 2 * 2 * 2 = 2⁵
[tex]\frac{2^{12}}{2^{\frac{k}{2}}}= 32\\\\\frac{2^{12}}{2^{\frac{k}{2}}}=2^{5}\\\\2^{12-\frac{k}{2}}=2^{5}[/tex]
Both sides base are same.So, compare exponents
[tex]12-\frac{k}{2}=5\\[/tex]
Subtract 12 from both side
[tex]-\frac{k}{2}=5-12\\\\-\frac{k}{2}=-7\\[/tex]
Multiply both sides by (-2),
[tex](-2)*(-\frac{k}{2})=-7*(-2)\\\\k = 14[/tex]
Find the slope and y-intercept of the line. y = x – 8
Answer:
y- intercept= -8
slope= 1
Step-by-step explanation:
Looking at the question, the y- intercept is always the number were the line on the graph passes over on the y- axis. The slope is always the number with x in front of it.
Answer:
Y-intercept = -8
Slope = 1
Step-by-step explanation:
The Y-intercept is the constant or the integer in the equation.
So, the y-intercept is "-8".
The slope is the number with which "x" is multiplied with.
So, the slope is 1, because 'x' and '1x' are similar; therefore the slope is 1.
Identify the type of function represented by f(x) = 3/8(4)^x
A. Exponential decay
B. Exponential growth
C. Linear
D. Quadratic
variable is in power so it exponential.
the constant and coefficient both are positive so it is exponential Growth.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following statements is correct about the data set 2,4,6,8,10,12,14,16?
A. The data set has a mode that is not in the data set
B. The data set has a median that is not in the data set
C. The data set has the same median and mode
D. The data set has an interquartile range of 9
Answer:
A. The data set has a median that is not in the data set
Step-by-step explanation:
The median of the data set is the middle most number because there is an even amount of number its 8+10/2 or 9 and that is not in the data set. There is no mode because no number is repeated. The IQR is 12+14/2-4+6/2 or 8 so that means the correct answer is a.
Evaluate the expression 52 + 2x when x = 5. Choose the phrase below that describes the resulting number.
Answer:
62
Step-by-step explanation:
hope that helps! if it is an answer
The Phrase is: "The resulting number is 62."
We have the expression as
52 + 2x
Now, To evaluate the expression 52 + 2x when x = 5,
we substitute the value of x into the expression and simplify:
=52 + 2(5)
= 52 + 10
= 62.
Thus, The resulting number is 62.
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Question is in the pic I really suck at this stuff can I get some help plssssss
Answer:
see below
Step-by-step explanation:
The hypotheses is the if part of the statement ( after the if)
hypotheses: it is January
The conclusion is the then part of the statement ( after the then)
conclusion there is snow
What is the surface area of a sphere with a diameter of 14 cm?
1961 cm2
287 cm2
7841 cm2
981 cm2
Answer:
??
Step-by-step explanation:
how
did you get 616? are you even looking at the 4 answers?????
Please Help!!
Write an absolute value equation that has the solutions x = -10 and x = -5.
The equation is:_____
Answer:
x=-10
x=-5
-10+-5=15
Step-by-step explanation:
answer 15
Need help ASAP!!!! THX
Answer:
C
Step-by-step explanation:
f(x) = x - 2
f(2) = (2) - 2
f(2) = 0
A + B are wrong cuz..
f(-2) = -2 - 2
f(-2) = -4
15x + 45 = 15 (3 + x) always never one solution how do I do it
Answer:
0
Step-by-step explanation:
First, you need to try to get rid of the ().
To do this:
15 * 3 and 15 * x
This makes 45 and 15x after the = , so the formula is now:
15x + 45 = 45 + 15x
Now get the 15x to the left side. When a number switches sides, it becomes negative when positive and positive when negative. So in this case 15x will become -15x and the 45(on the left) becomes - 45
15x - 15x = 45 - 45
Answer: 0