Answer:
1. 7(g-5)
2. 12(5m+2n)
3. 2(11w+5)
4. 8(5a+b-3)
5. 4(r+7t-10)
Step-by-step explanation:
simply take out the most common multiple of these numbers
The number of penguins on an iceberg is
modeled by the equation P(t) = 24(1.231)^t
where t is years since 2010. If
the iceberg has a population of 70 penguins it
will begin to sink and the penguins will have to
find a new home. In
what year are the penguins going to find a new home?
The function of the number of penguins is an exponential function
The penguins are going to find a new home in 2015
How to determine the yearThe equation of the function is given as:
[tex]P(t) = 24(1.231)^t[/tex]
When there are 70 penguins, the equation becomes
[tex]24(1.231)^t =70[/tex]
Divide both sides by 24
[tex]1.231^t =2.917[/tex]
Take the logarithm of both sides
[tex]t\log(1.231) =\log(2.917)[/tex]
Divide both sides by log(1.231)
[tex]t =5[/tex]
The time is 5 years from 2010.
So, we have
Year = 2010 + 5
Year = 2015
Hence, the penguins are going to find a new home in 2015
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A family has two children. If B represents a boy and G represents a girl, the set of outcomes for the possible genders of the children is S = {BB, BG, GB, GG}, with the oldest child listed first in each pair. Let X represent the number of times G occurs. Which of the following is the probability distribution, PX(x)? A 2-column table has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0. 25, 0. 5, 0. 25. A 2-column table has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0. 33, 0. 33, 0. 33. A 2-column table has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0. 25, 0. 75, 0. A 2-column table has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0, 0. 5, 0. 5.
The probability is the ratio of the favorable event to the total number of events. Then the correct option is A.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.
A family has two children.
If B represents a boy and G represents a girl, the set of outcomes for the possible genders of the children is S = {BB, BG, GB, GG}, with the oldest child listed first in each pair.
Let X represent the number of times G occurs.
The table will be
X P(X)
0 0.25
1 0.50
2 0.25
Then the correct option is A.
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can yall help me out??
Answer:
its drawn
Step-by-step explanation:
3 3/4 dozen (A)
Answer:
3 3/4
Step-by-step explanation:
8 3/4 beads dozen beads, uses 3 1/4 beads for necklace, 1 3/4 beads for necklace so she has used 3 1/4 + 1 3/4 beads which is 5 so 8 3/4 - 5 = 3 3/4
To repair a roof that is 12 feet high, Mr. Callahan leans a 13-foot ladder against the side of the building. To reach the roof, how far away from the building should he place the base of the ladder
Answer:
5 feet away
Step-by-step explanation:
It is a Pythagorean Triple.
The hypotenuse is 13 feet and one of the sides is 12 feet. To find the length of the base, use the Pythagorean Theorem.
13^2=12^2+c^2
169=144+c^2
c^=25
c=5
9. If two sides in one triangle are 9 and 21 , then the third side might be
a) 9
b) 11
c) 12
d) 13
Please explain how you got the answer
Answer: D
Step-by-step explanation:
SOS PLEASE HELP MEEEEEE
Part B
Write a numerical expression that represents the area Sabrina painted the second weekend. Using this numerical expression, find the area that Sabrina painted the second weekend.
Step-by-step explanation:
she painted half of the still to be painted area.
after the first weekend there were 800 of 1600 ft² painted, and therefore 1600 - 800 = 800 ft² left to be painted.
on the second weekend she then painted half of that :
800 / 2.
that means she painted 800/2 = 400 ft², and that left 800 - 400 = 400 ft² to be painted on the following weekends.
if we look in detail, we find the starting 800 ft² of the second weekend are already the result of the first weekend.
800 = 1600 / 2
so,
800 / 2 = 1600 / 2 / 2 = 1600 / 2² = 1600 / 4.
and the same principle goes on weekend after weekend.
therefore, the expression for the nth weekend could be
1600 × (1/2)^n ft²
that means, she painted
on the 1st weekend : 1600 × 1/2 = 800 ft²
on the 2nd weekend : 1600 × 1/4 = 400 ft²
on the 3rd weekend : 1600 × 1/8 = 200 ft²
on the 4th weekend : 1600 × 1/16 = 100 ft²
...
that also means : she will never be finished, as she always paints only half of what is still left open, and that leaves always some part open. it will be tinier and tinier over time, but never 0.
What is the simplest form of (–4v + 7)(3v – 5)?
A. −12v2−41v−35
B. −12v2−1v−35
C. −12v2+1v−35
D. −12v2+41v−35
Which phrase best describes the translation from the graph y = (x + 2)2 to the graph of y = x2 + 3?
2 units left and 3 units up
2 units left and 3 units down
2 units right and 3 units up
2 units right and 3 units down
Answer: 2 units left and 3 units up
Step-by-step explanation:
The correct phrase is option c that is the translation in graph is 2 units right and 3 units up.
What do you mean by translation of a graph ?
The modification of an existing graph or graphed equation to create a different version of the following graph is known as translation.
We know that the translation of any graph or a function meant changing the position from one to another.
It is given that the two functions are :
y = (x + 2)²
y = x² + 3
Let's check that in what way the first function is translated to second function.
So , the first function can be written as :
y = (x + 2 - 2)²
or
y = x²
Here , the function is translated by 2 units right.
Now , if we add 3 to the above function we get :
y = x² + 3
Here , the function is translated by 3 units up.
Therefore , the correct phrase is option c that is the translation in graph is 2 units right and 3 units up.
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would a table of x- 1,2,3,4 and y- 5 7 9 11 be linear
Answer:
yes, it is
Step-by-step explanation:
The table shows a constant rate of change
y-5 7 9 11
5, 5+2, 7+2 ,9+2
Madison is entering a bicycle race for charity. Her mother pledges $0. 80 for every. 5 miles she bikes. If Madison bikes 12 miles, how much will her mother donate?
so Im not sure about how an equation for this would look but im assuming her mom doesnt pay unless a full 5 is completed, in that case her mom donates $1.6, in the case less than 5 is still donated for we make .16 * 12 which is $1.92
Evaluate the expression 2bc^2 for b = 1. 5 and c = 5
Answer:
75
Step-by-step explanation:
2(b)(c)^2
= 2 (1.5)(5)^2
= 3(25)
= 75
Really need help on this
Answer:
is 2 and 3 opción (m+4)^2 (m+4) (m+4) you welcome
join wants to buy a pumpkin that weighs 5.7 pounds the pumpkin is priced at 1.58 per pound. how much will John pay for the pumpkin.
Answer:
$3.61
Step-by-step explanation:
5.7/1.58=3.607
Round the zero up to a 1 because of the 7.
$3.61
please help me find the answer
Answer:
Slope-1/2
Y-intercept 4
Step-by-step explanation:
To find slope count the amount of squares but use rise over run
To find the y intercept, look where the line intercepts with the y intercept
in the adjoining figure AOC is a straight line find 'y'
Answer:
30°
Step-by-step explanation:
y+30° +4y =180° (angles on a straight line equal 180°)
5y+30° =180°
5y= 180° - 30°
5y = 150°
divide both sides by 5
5y/5 = 150/5
y= 30°
Write an equation using “” and then solve the equation. The late fee for each day is $2. A patron paid $72 for books that are overdue for 9 days.
the graph of f (x)=x^2 was translated 4.5 units to the left to create the graph of function g which function represent g?
If the function is translated 4.5 units to the left to createe the graph of function g(x), hence the resuting function will be g(x) = (x + 4.5)^2
Translation of coordinatesGiven the function expressed as
f(x) = x^2
If the function is translated 4.5 units to the left to createe the graph of function g(x), hence the resuting function will be:
g(x) = (x + 4.5)^2
Note that translation to the left means addition of the factor
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Answe
Step-by-step explanation:
q
Mary spent a total of $291.34 for a party. She spent $200.74 on food, plus an additional $30.20 for each hour of the party. How long was the party?
A.
5 hours
B.
4 hours
C.
3 hours
D.
2 hours
Answer:
C
Step-by-step explanation:
291.34 - 200.74 is 90.60. 90.60/30.20 = 3.
ΔABC undergoes a translation to become ΔA'B'C'. Are the triangles congruent, similar, neither or both? Explain.
Please answer!!!!!!!!!!!
Answer:
the second one
Step-by-step explanation:
qudrant lv
21 feet long and 12 feet wide what is the area in square feet
Answer: 252
Step-by-step explanation:
Answer:
area=length x breath
length(L)=21
Breath(B)=12
area(A)=L×B
21×12=252
There were 324 adults surveyed. Among the participants, the mean number of hours of sleep each night was 7. 5 and the standard deviation was 1. 6. The margin of error, assuming a 95% confidence level, is approximately. Round to the nearest hundredth.
The margin of error for 324 adults surveyed with 1.6 standard deviations is 0.1742.
What is the margin of error?The margin of error can be defined as the amount of random sampling error in the results of a survey. It is given by the formula,
[tex]\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\frac{\sigma^{2}}{n}}[/tex]
[tex]\text{MOE}[/tex] = margin of error
[tex]\gamma[/tex] = confidence level
[tex]z_{\gamma}[/tex] = quantile
σ = standard deviation
n = sample size
As it is given that the sample size of the survey is 324, while the standard deviation of the survey is 1.6.
We know that the value of the z for 95% confidence interval is 1.96. Therefore, using the formula of the standard of error we can write it as,
[tex]\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\dfrac{\sigma^{2}}{n}}\\\\\text{MOE}_{\gamma}=1.96 \times \sqrt{\dfrac{1.6^{2}}{324}}\\\\\text{MOE}_{\gamma}=0.1742[/tex]
Hence, the margin of error for 324 adults surveyed with 1.6 standard deviations is 0.1742.
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Fill in the blanks. The vertical line that contains the vertex is called the blank ?
If the length of the side of a square is 11cm. Then find its area and also find the total length of its boundary.
Answer:
[tex]\displaystyle 44\:cm. = P \\ 121\:cm.^2 = A[/tex]
Step-by-step explanation:
All angles and edges are congruent in a square, so first, find the total boundary by multiplying the length of the edge by 4:
[tex]\displaystyle 4l = P \\ 4[11] = P \\ \\ 44 = P[/tex]
Now, for the area, you square the length of the edge:
[tex]\displaystyle s^2 = A \\ 11^2 = A \\ \\ 121 = A[/tex]
I am joyous to assist you at any time.
Percentage profit formula ?
Answer:
When the selling price and the cost price of a product is given, the profit can be calculated using the formula, Profit = Selling Price - Cost Price. After this, the profit percentage formula that is used is, Profit percentage = (Profit/Cost Price) × 100.
Step-by-step explanation:
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Hurry please!
Find the slope of the line
Answer:
D) 5/3
Step-by-step explanation:
1. Look at the emphasized points of the line.
2. Count how many units up you have to go to get from the lower point to the upper point. That is your top number.
3. Count how many units right you have to go to get from the lower point to the upper point. That is your bottom number.
What decimal is the same distance from 6.3 as it is from 6.4?
6.35 is the same distance from 6.3 as it is from 6.4
it is exactly between the 2 numbers and 0.05 away from either one
Waylon is typing a paper for keyboarding class. He has typed 648 words in 8 minutes. He types at the same rate each minute. Which equation represents the number of words (w) Waylon can type in m minutes?
Answer:
that is the correct answer
How many circles of radius 1 unit can you fit inside a
circle of radius 4 units so that they don't overlap?
Answer:
You can fit 11 circles
There are 3 circles of radius 1 unit can you fit inside a circle of radius 4 units.
What is Circle?
The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
The circle is shown with radius 4 units.
Now,
Since, The circle is shown with radius 4 units.
Cleary, 4 = 1 + 1 +1 + 1
So, We get 4 circle of radius 1 unit can you fit inside a circle of radius 4 units.
But we find the circle that they don't overlap.
Hence, There are 3 circles of radius 1 unit can you fit inside a circle of radius 4 units.
Thus, There are 3 circles of radius 1 unit can you fit inside a circle of radius 4 units.
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