Answer:
Since there is so table shown here, I advice you to divide 112 with the number of flowers in each vase. Like for example lets say that the amount of flowers in each vase is 16. You would need to divide 112 and 16. Thats 7. So the "answer" would be 7. Do the same (divide 112) with the amount of flowers you have in your table.
The number of microscopic organisms in a petri dish grows exponentially with time. The function P below models the number of organisms after growing t days in the petri dish. Based on the function, which of the following statements is true?
P(t) = 60(3)^t/2
A. the predicted number of organisms in the dish triples every two days
B. The predicted number of organisms in the dish doubles every three days
C. The predicted number of organisms in the dish triples every day
D. The predicted number of organisms in the dish doubles every day
Answer:
A
Step-by-step explanation:
Given
P(t) = 60 [tex](3)^{\frac{t}{2} }[/tex]
Then
P(1) = 60 × [tex]3^{\frac{1}{2} }[/tex] = 60[tex]\sqrt{3}[/tex]
P(2) = 60 × 3 = 180
P(3) = 60 × [tex]3^{\frac{3}{2} }[/tex] = 60 ×[tex]\sqrt{3^{3} }[/tex] = 60 × 3[tex]\sqrt{3}[/tex] = 180[tex]\sqrt{3}[/tex]
P(4) = 60 × 3² = 60 × 9 = 540
P(5) = 60 × [tex]3^{\frac{5}{2} }[/tex] = 60 × [tex]\sqrt{3^{5} }[/tex] = 60 × 9[tex]\sqrt{3}[/tex] = 540[tex]\sqrt{3}[/tex]
P(6) = 60 × 3³ = 60 × 27 = 1620
From these 6 results we see that
P(3) = 3 × P(1)
P(4) = 3 × P(2)
P(5) = 3 × P(3)
P(6) = 3 × P(4)
The predicted number of organisms triples every 2 days → A
The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of 20 lb. A sample of 40 is randomly selected and the average strength was found as 105lb. Let μ denote the average tuft strength. Could it be that the average tuft strength is above 100 lb? Based on the information, what should be the appropriate null and alternative hypotheses for the purpose of your analysis?
Answer:
The null hypothesis is: [tex]H_{0}: \mu = 100[/tex]
The alternative hypothesis is: [tex]H_{a}: \mu > 100[/tex]
Step-by-step explanation:
At the null hypothesis, we test if the mean is equal to a certain value.
At the alternate hypothesis, we test if the mean is less than, more than, or different from the value tested at the null hypothesis.
The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of 20 lb.
This means that the null hypothesis is: [tex]H_{0}: \mu = 100[/tex]
Could it be that the average tuft strength is above 100 lb?
The world above means that the appropriate alternative hypothesis is: [tex]H_{a}: \mu > 100[/tex]
find a20 of a geometric sequence of the first few terms of the sequence given by -1/2;1/4;-1/8;1/16
Answer:
[tex]a_{20} = 1/1048576[/tex]
Step-by-step explanation:
Given
[tex]Sequence: -1/2;1/4;-1/8;1/16[/tex]
Required
Determine [tex]a_{20[/tex]
Since it is a geometric sequence, first we need to calculate the common ratio (r)
[tex]r = \frac{a_2}{a_1}[/tex]
From the sequence:
[tex]a_2 = 1/4[/tex]
[tex]a_1 = -1/2[/tex]
[tex]a_1[/tex] is the same as [tex]a[/tex]
So:
[tex]r = \frac{a_2}{a_1}[/tex]
[tex]r = \frac{1/4}{-1/2}[/tex]
[tex]r = -1/2[/tex]
[tex]a_{20[/tex] is then calculated as:
[tex]a_n = ar^{n-1}[/tex]
Where
[tex]n = 20[/tex]
[tex]a_{20} = ar^{20-1}[/tex]
[tex]a_{20} = ar^{19}[/tex]
[tex]a_{20} = (-1/2) * (-1/2)^{19}[/tex]
Apply law of indices
[tex]a_{20} = (-1/2)^{1+19}[/tex]
[tex]a_{20} = (-1/2)^{20}[/tex]
Evaluate the exponent
[tex]a_{20} = 1/1048576[/tex]
Which of the following is used by a seller to deceive a buyer? a. bait and switch b. contest c. display d. introductory offer
Can y’all help me solve this?
You select a marble at random and then put it back. If you do this 8 times, what is the best prediction possible for the number of times you will pick a red marble? A)1/8
B)2/4 C)2/5 D) 3/11
Answer:
i think its b but I'm not exactly sure i have to check again
Step-by-step explanation:
Which value is equivalent to V-25?
A. -5i
B. -5
C. 5
OD. 5i
Answer:
[tex]\sqrt{-25} = 5i[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{-25[/tex]
Required
An equivalent
We have:
[tex]\sqrt{-25[/tex]
Express -25 as -1 * 25
[tex]\sqrt{-25} = \sqrt{-1 * 25}[/tex]
Split
[tex]\sqrt{-25} = \sqrt{-1} * \sqrt{25}[/tex]
[tex]\sqrt{25} = 5[/tex], so:
[tex]\sqrt{-25} = \sqrt{-1} * 5[/tex]
[tex]\sqrt{-1} = i[/tex] --- complex numbers
So:
[tex]\sqrt{-25} = i * 5[/tex]
[tex]\sqrt{-25} = 5i[/tex]
Hence, the equivalent is (D)
please help immediately
Answer:
-4,0
Step-by-step explanation:
steps to solve:
-8+(sqrt(5a-5))=-3
Answer:
a = 6
Step-by-step explanation:
Given:
[tex]-8 + \sqrt{5a-5} = -3[/tex]
Assuming that the goal is to solve for a, we should aim to isolate a using a backwards process.
First step: add 8 to both sides, resulting in:
[tex]\sqrt{5a-5} = 5[/tex]
Second step: Next we need to square both sides, getting us:
[tex]5a - 5 = 25[/tex]
Third step: We now can add 5 to get an isolated monomial:
[tex]5a = 30[/tex]
Fourth Step: Finally, divide by 5 to get:
[tex]a = 6[/tex]
PLEASE HELP ME WITH THIS !
Answer:
uh idek
Step-by-step explanation:
Answer:
1) 20.2
2) 13
3) 10.3
4) 103
Step-by-step explanation:
If you need help solving these on your own next time, here's the formula
a^2+b^2= c^2, or A to the power of two, plus B to the power of two, = C to the power of 2.
To solve them square both A and B, (ex. 9.2 to the power of two, plus 18 to the power of two, which equals 408.64.)
Then, to solve for x, (or c, doesn't matter the variable,) you square root the number.
(ex. √408.64, which is 20.2)
Ben Carson was loaned $125.00 to pay $6.00 interest for $100.00 every week ,after 3 weeks how much do he pay back to clear the dept A. $140 B. $147.50 C. $155 D. $135.50 E. 143
Answer:
Total amount pay after 3 week = $147.5
Step-by-step explanation:
Given:
Amount of loan taken = $125
Amount interest per $100 = $6 per week
Find:
Total amount pay after 3 week
Computation:
Amount of interest per week = 125[6/100]
Amount of interest per week = $7.5 per week
Amount of interest in three week = 3 x Amount of interest per week
Amount of interest in three week = 3 x 7.5
Amount of interest in three week = $22.5
Total amount pay after 3 week = Amount of loan taken + Amount of interest in three week
Total amount pay after 3 week = 125 + 22.5
Total amount pay after 3 week = $147.5
$72 for 7 1/2 hours. Find the unit rate
Answer:
$9.60 for 1 hour
The unit rate is $9.60
Step-by-step explanation:
Last year, 210 new houses were built in a neighborhood. So far this year, 4/7 of them have been sold. How many new houses have been sold this year?
Write your answer in simplest form
Answer:
120
Step-by-step explanation:
number of hours sold = fraction of houses sold this year x number of houses built last year
4/7 x 210 = 120 houses
solve 7!!!!!!!!!!!!!!!!!!!!!!!
Answer:
?
Step-by-step explanation:
Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled 2/3 for the flowers to last the longest. Her cylinder vase has a radius of 3in and a height of 8in. How much water should Mary pour into the vase?
the answer is 24 water pour into the vase
Find the following limit. Limit of StartFraction StartRoot x + 2 EndRoot minus 3 Over x minus 7 EndFraction as x approaches 7 Which statements describe finding the limit shown? Check all that apply. Multiply by StartFraction StartRoot x + 2 EndRoot + 3 Over StartRoot x + 2 EndRoot + 3 EndFraction. Get x – 1 in the numerator. Get (x -7)(StartRoot x + 2 EndRoot minus 3) in the denominator. Divide out a common factor of x – 7. Calculate the limit as StartFraction 1 Over 6 EndFraction.
ANSWERS: A,D,E
Answer:
a,d,e
Step-by-step explanation:
In this question, we apply limit concepts to get the desired limit, finding that the correct options are: A, D and E, leading to the result of the limit being [tex]\frac{1}{6}[/tex].
Limit:
The limit given is:
[tex]\lim_{x \rightarrow 7} \frac{\sqrt{x+2}-3}{x-7}[/tex]
If we apply the usual thing, of just replacing x by 7, the denominator will be 0, so this is not possible.
When we have a term with roots, we rationalize it, multiplying both the denominator and the denominator by the conjugate.
Multiplication by the conjugate:
The term with the root is:
[tex]\sqrt{x+2} - 3[/tex]
It's conjugate is:
[tex]\sqrt{x+2}+3[/tex]
Multiplying numerator and denominator by the conjugate, meaning option A is correct:
[tex]\lim_{x \rightarrow 7} \frac{\sqrt{x+2}-3}{x-7} \times \frac{\sqrt{x+2}+3}{\sqrt{x+2}+3}[/tex]
We do this because at the numerator we can apply:
[tex](a+b)(a-b) = a^2 - b^2[/tex]
Thus
[tex]\lim_{x \rightarrow 7} \frac{\sqrt{x+2}-3}{x-7} \times \frac{\sqrt{x+2}+3}{\sqrt{x+2}+3} = \lim_{x \rightarrow 7} \frac{(\sqrt{x+2})^2 - 3^2}{(x-7)(\sqrt{x+2}+3)} = \lim_{x \rightarrow 7}\frac{x+2-9}{(x-7)(\sqrt{x+2}+3)} = \lim_{x \rightarrow 7}\frac{x-7}{(x-7)(\sqrt{x+2}+3)}[/tex]
Thus, we can simplify the factors of x - 7, meaning that option D is correct, and we get:
[tex]\lim_{x \rightarrow 7} \frac{1}{\sqrt{x+2}+3}[/tex]
Now, we just calculate the limit:
[tex]\lim_{x \rightarrow 7} \frac{1}{\sqrt{x+2}+3} = \frac{1}{\sqrt{7+2}+3} = \frac{1}{3+3} = \frac{1}{6}[/tex]
Thus, option E is also correct.
Using a limit calculator, as given by the image below, we have that 1/6 is the correct answer.
For more on limits, you can check https://brainly.com/question/12207599
What is the value of a?
45°
(2x-5)
Answer:
x=70
Step-by-step explanation:
To solve this problem, you set up the equation 45+(2x-5)=180
Next, subtract 45 from 180 to get the equation 2x-5=135
After that, add 5 to 135 to get 2x=140
Divide 140 by 2 to get X=70
30 POINTS!!!
What is the approximate rate of change of this function on the interval [-2, 2]
A.-9/8
B.-7/2
C. 8/7
D. 4
Answer:A
Step-by-step explanation:
The approximate rate of change of this function on the interval [-2, 2] is Option A; -9/8.
How to measure the rate of change of something as some other value changes?Suppose that we have to measure the rate of change of y as x changes, then we have:
[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
where we have
[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]
Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.
The interval given as: -2 ≤ x ≤ 2
Let (x_1,y_1) = (-2, 2) and (x_2,y_2) = (2, -2.5)
The rate of change
[tex]\dfrac{y_2-y_1}{x_2-x_1}\\\\\\=\dfrac{-2.5-2}{2+2} \\\\=\dfrac{-4.5}{4}\\\\=-\dfrac{9}{8}[/tex]
Therefore, the approximate rate of change of this function on the interval [-2, 2] is Option A; -9/8.
Learn more about rate of change here:
https://brainly.com/question/19167959
#SPJ2
7x>56 this is for math
Answer:
x>8 should be correct!
Step-by-step explanation:
56/7 = 8
Solve the equation (216/739)^1/3
The plane was flying long so it's true!
Show that A and B are not similar matrices. A = 2 1 −4 9 , B = 3 −1 −5 7 Since A has characteristic polynomial p() = and B has characteristic polynomial p() = , the two matrices are not similar.
Answer:hey besties
Step-by-step explanation:
Pew pew
Two fnenas. Ben and Mike. take parun a 15km fun
run. Ben took 1 h 23 min 12 sec and Mike took 1 h 39 min 4 sec how long did ben wait at the finish line for mike
Answer:
15 minutes and 52 seconds
Step-by-step explanation:
Well you jsut gotta subtract the two times
I would put them liek this
1:39:4
-1:23:12
Since the last part is un doable just add the minute into the seconds and take off a minute
1:38:64
-1:23:12
You’d get if solved correctly, 15 minutes and 52 seconds
A taco shop is offering a 20% discount on their nacho plate. The original cost of the nacho plate is $15. After applying the discount, how much would the nacho plate cost?
$10
$12
$5
$3
Answer:
3$
Step-by-step explanation:
To find percentage on a discount like this all you have to do is multiply the pre-discount number by your discount percentage.
So all you have to do is:
15 x 0.20
which gives you an answer of 3.
Thus the post-discount amount is $3.
A rectangular field is 24 yards in length and 81 feet in width.
What is the area of the field in square feet?
What is the area of the field in square yards?
PLEAS HELP ASAP :)))))
Answer:
18 inches
Step-by-step explanation:
54*1/3=18(inches)
Please help, I'll give brainliest
Answer:
76+2x=90
2x=90-76
2x=14
x=14/2
x=7
A rectangle is drawn at (-4,-2) (-1,-2) (-4,-4) and (-1,-4). What is the perimeter?
Answer:
12
Step-by-step explanation:
If $42.60 is in the tip jar and you share equally with 2 other people what is my share
Answer:
$14.20
Step-by-step explanation:
$42.60 ÷ 3
$14.20
5. The Neutrality Acts allowed the U.S. to loan money to other countries at
War.
A. True
B.False
Can someone please help!!
Answer:
https://youtu.be/WYNfQabLpuk