Answer: Base Number is defined as a number which is multiplied by itself, whereas the exponent represents the number of times the base number is multiplied.
A population of bacteria P is changing at a rate based on the function given below, where t is time in days. The initial population (when t = 0) is 900. dP dt = 2900 1 + 0.25t Write an equation that gives the population at any time t. Then find the population when t = 2 days. (Round your answer to the nearest whole number.)
Tina is going on a 5 day trip. She has 1 blue shirt, 1 red shirt, 1 white shirt, 1 green shirt, and 1 grey shirt. What is the probability that Tina will wear blue on the first day of her trip and then wear grey on the second day of her trip?
Answer:
1/20
Step-by-step explanation:
1/5 chance she will wear the blue shirt on the first day and 1/4 chance she will wear a grey shirt on the second day.
1/5 X 1/4 = 1/20
Answer:
i got 1/20 as my answer
Joseph found the bike he wanted in the clearance section at walmart. It has the price of $88.99, but is in 30% off section. How much will his total be if the sales tax is 9.7%?
Answer:
[tex]Total = \$68.34[/tex]
Step-by-step explanation:
Given
[tex]Price = \$88.99[/tex]
[tex]Discount = 30\%[/tex]
[tex]Sales\ Tax = 9.7\%[/tex]
Required
Determine the payable amount.
First, calculate the amount after discount
[tex]Amount = Price - Price * Discount[/tex]
[tex]Amount = Price (1 - PDiscount)[/tex]
[tex]Amount = \$88.99(1 - 30\%)[/tex]
[tex]Amount = \$88.99(70\%)[/tex]
[tex]Amount = \$62.293[/tex]
The total after sales tax is:
[tex]Total = Amount (1 + Sales\ Tax)[/tex]
[tex]Total = \$62.293 (1 + 9.7\%)[/tex]
[tex]Total = \$62.293 (1 + 0.097)[/tex]
[tex]Total = \$62.293 (1.097)[/tex]
[tex]Total = \$68.335421[/tex]
[tex]Total = \$68.34[/tex]
$68.34 will be paid
£800 is paid into a bank account that pays 3% simple interest
annually.
How much will be in the account after 1 year
Answer:
£824
Step-by-step explanation:
3% of 800 + 800
1% = ÷100
800 ÷ 100 = 8
8×3=3%=24
800 +24 =£824
using suitable identity find 231^222-131^2
Given:
Consider the expression is
[tex]231^2-131^2[/tex]
To find:
The value of given expression using a suitable identity.
Solution:
We have,
[tex]231^2-131^2[/tex]
Using the identity [tex]a^2-b^2=(a-b)(a+b)[/tex], we get
[tex]231^2-131^2=(231-131)(231+131)[/tex]
[tex]231^2-131^2=(100)(362)[/tex]
[tex]231^2-131^2=36200[/tex]
Therefore, the value of the given expression is [tex]231^2-131^2=36200[/tex].
3x+(-2+4x) . In standard form
WRITE IT IN STANDARD FORM
3x+(-2+4x)
Add 3x and 4x.
Answer:
[tex]7x + 2[/tex]Hope It helps
Find the unit rate for 3.99 for 12
Answer:
So the answer is $3.99 / 12 = $0.3325 per can = 33.25 ¢ per can.
Answer:
33.25
Step-by-step explanation:
I need help once more (●'◡'●)
Answer:
3= 25 4= 20 25= 5
Step-by-step explanation:
its a pattern. the top goes up by ones and the bottom goes up by fives.
A doggie daycare center requires that there be 4 staff members for every 12 dogs.
Write an equation that shows the relationship between n, the number of supervisors, and d, the number of dogs.
Part 2 At the doggie daycare center from before, how many employees would need to be staffed if they had scheduled 19 dogs. Justify your answer by writing a few sentences explaining your thought process.
Answer:
Step-by-step explanation: Turn this into an equation for every 3 dogs there is 1 staff...
Part 2 around 57 staff bec for every 3 dog there is 1 staff so 19* 1 = 19
Simple interest to find the ending balance $460 at 13% for
2
years
Answer:
$568.16
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 13%/100 = 0.13 per year,
then, solving our equation
I = 416 × 0.13 × 2 = 108.16
I = $ 108.16
The simple interest accumulated
on a principal of $ 416.00
at a rate of 13% per year
for 2 years is $ 108.16.
How do i solve this? and what’s the answer?
Answer:
x = 18
Step-by-step explanation:
The line joining 2 midpoints of the non parallel sides of a trapezoid is 1/2 the sum of the two parallel lines.
Put in much simpler language XY = 1/2 (BC + AD)
4x - 2 = 1/2 (6x + 1 + x) Combine the right
4x - 2 = 1/2 (7x + 1) Multiply by 2
8x - 4 = 7x + 1 Add 4 to both sides
8x = 7x + 5 Subtract 7x
x = 5
But what you want is the length of XY
XY = 4x - 2 = 4*5 - 2 = 18
Sorry I noticed too late that I used x for s. The answer would still be 18.
Show your work to get full credit. Solve the following problem with any method you want.
1.5 x 0.32
Answer:0.48
Step-by-step explanation:
Answer:
0.48
Step-by-step explanation:
1.5 = 1 + 0.5
1.5 x 0.32 = 1 x 0.32 + 0.5 x 0.32
= 0.32 + 0.16
= 0.48
-5х + Зу = -8
3х - 7y = -3
Answer:
wrong
Step-by-step explanation:
-5x + 3y, you can’t add those together since they aren’t like numbers
3x - 7y, can’t be done either since again, they aren’t like numbers.
like numbers include the same variable or no variable, which means you cant do -5x + 3y but you can to -5x + 3x. you can add those together since both of the numbers have the variable “x” while 3y and 7y have the same variable “y” therefore those can be added together.
since there isn’t a way to add those, both of those answers are not only wrong, but they’re also in simplest form.
PLEASE HELP I WILL MARK BRAINLIST BUT DONT ANSWER FOR THE POINT PLEASE I AM DESPERATE
Answer:
478.32
Step-by-step explanation:
1) the basic formula is:
[tex]A=A_{base}+A_{sidesurface}.[/tex]
2) the Area of the base consists of 6 triangles, they are the same. In one triangle: its base is 8 cm., the height is 6.93 cm, - then the Area of one triangle is 0.5*8*6.93=27.72 (cm²);
[tex]A_{base}=6*27.72=166.32(cm^2).[/tex]
3) the Area of the side surface consists of 6 triangles, they are the same. In one triangle: its base is 8 cm., the height is 13 cm, - then the Area of one triangle is 0.5*13*8=52 (cm.²);
[tex]A_{sidesurface}=6*52=312(cm.^2).[/tex]
4) finally, the required Area:
[tex]Area=A_{base}+A_{sidesurface}=166.32+312=478.32(cm.^2).[/tex]
Choose all the statements that are true about the graph.
Answer:
f(x) is negative when x < 9f(x) is increasing when x < 1The x-intercept is 9Step-by-step explanation:
The function is
f(y) = (y + 2)³ + 1
help with this plz brainliest
Answer:
5. b 6. c 7. d 8. a
Step-by-step explanation:
(1). There are always 4 bars of chocolates,
left when box of chocolates shared
equally among 8, 10, or 12 children.
Find the smallest number of chocolates
in the box,
Answer:
The smallest number of chocolates in the box is 124.
Step-by-step explanation:
There are always 4 bars of chocolates left in the box when they are share equally among 8, 10, or 12 children.
This means that the smallest number of chocolates in the box is 4 added to the least common multiple of 8, 10 and 12.
LCM(8,10,12).
We factore them by prime factors until all are 1. So
8 - 10 - 12|2
4 - 5 - 6|2
2 - 5 - 3|2
1 - 5 - 3|3
1 - 5 - 1|5
1 - 1 - 1
So
lcm(8,10,12) = 2*2*2*3*5 = 8*15 = 120
Adding 4: 120 + 4 = 124
The smallest number of chocolates in the box is 124.
Plot the image of triangle mAABC under a reflection across the y-axis.
Answer:
3
Step-by-step explanation:
3
Answer:
move the bottom of the green triangle back to -4
what is the solution to the equation. first to get it is brainlyist
Answer:
Third from the top, a=
[tex]3 \frac{1}{3} [/tex]
Answer:
a = 3 1/3
Step-by-step explanation:
We first separate the whole numbers from the fractions
So first we do
5 + 3 = 8
Then we add the fractions together
1/3 + 2/3 = 1
Then, we add the sum of the whole numbers and of the fractions
8 + 1 = 9
Thus, a = 3 1/3
what is the slope of negative 2y plus 6 equals 4x
Answer:
2
Step-by-step explanation:
The first step is to convert the equation to slope-intercept form (y = mx+b).
2y+6 = 4x
2y+6-6 = 4x-6
2y = 4x-6
2y/2 = 4x/2-6/2
y = 2x-3
In slope-intercept form (y = mx+b), m is the slope. 2 is m in the equation, so therefore it is the slope.
2. Scotts American Bulldog males have weights that are normally distributed with
a mean of 85 pounds and a standard deviation of 14.6 pounds. Female American
Bulldog have weights that are normally distributed with a mean of 69 pounds and
a standard deviation of 8.8 pounds. We take a sample of 9 male and 8 female
American bulldogs. What is the probability that the difference in mean weight of
the samples (Male - Female) is greater than fifteen pounds? (Please attach your
work).
Answer:
0.5675 = 56.75% probability that the difference in mean weight of the samples is greater than fifteen pounds.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction of normal variables:
When we subtract two normal variables, the mean of the subtraction distribution is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
Scotts American Bulldog males have weights that are normally distributed with a mean of 85 pounds and a standard deviation of 14.6 pounds.
This means that [tex]\mu = 85, \sigma = 14.6[/tex]
Sample of 9 male bulldogs:
By the Central Limit Theorem:
[tex]n = 9, \mu_M = 85, s_M = \frac{14.6}{\sqrt{9}} = 4.8667[/tex]
Female American Bulldog have weights that are normally distributed with a mean of 69 pounds and a standard deviation of 8.8 pounds.
This means that [tex]\mu = 69, \sigma = 8.8[/tex]
Sample of 8 female bulldogs:
By the Central Limit Theorem:
[tex]n = 8, \mu_F = 69, s_F = \frac{8.8}{\sqrt{8}} = 3.1113[/tex]
Subtraction of Male by Female:
[tex]\mu_S = \mu_M - \mu_F = 85 - 69 = 16[/tex]
[tex]s_S = \sqrt{s_M^2+s_F^2} = \sqrt{4.8667^2+3.1113^2} = 5.7762[/tex]
What is the probability that the difference in mean weight of the samples (Male - Female) is greater than fifteen pounds?
This is 1 subtracted by the pvalue of Z when X = 15. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
With our distribution(subtraction)
[tex]Z = \frac{X - \mu_S}{s_S}[/tex]
[tex]Z = \frac{15-16}{5.7762}[/tex]
[tex]Z = -0.17[/tex]
[tex]Z = -0.17[/tex] has a pvalue of 0.4325
1 - 0.4325 = 0.5675
0.5675 = 56.75% probability that the difference in mean weight of the samples is greater than fifteen pounds.
what is w divided by 6=7
Answer:
42
Step-by-step explanation:
w/6 = 7
multiply both sides by 6
w = 42
What is 4^3 in exponential form
Step-by-step explanation:
4^3=4×4×4=64 is answer
Answer:
[tex]4^{3}[/tex]
Step-by-step explanation:
Its in exponential form already the exponent is 3.
4 × 4 × 4 (standard form)
And then the actual answer will be 64....4 × 4 × 4 = 16 × 4 = 64
Hope this helped!
Have a supercalifragilisticexpialidocious day!
A candy-wrapping robot can wrap 435 pieces of candy in 5 minutes. Calculate the unit rate. How many pieces of candy can the robot wrap in 1 minute?
Answer:
Step-by-step explanation:
435/5=87
87 candy per min
(transformasi laplace) tentukan L { f ( t ) } apabila f(t) masing masing fungsi berikut. f(t)= 5t^3 - 6sin2t + 4e^-4t
Answer:..................................................................
Find the value of x in the isosceles triangle 40 inches and 25inches
Answer:
x = fifteen
Step-by-step explanation:
no explanation i know the answer
Solve for x : 5= 2+3x. Single choice. answer choices:
x=7/3
x=1
x=-1
Answer:
answer is x=1
Step-by-step explanation:
][[[[[[[[[
2x+2 (1-4X) = 88-5 (x+4)7x + 2
Answer:
x=4/7
Step-by-step explanation:
One morning, the temperature outside was -3°F. By 5:00PM the temperature had decreased 15°F. What was the temperature at 5:00 PM?
a. -18°F b. -12°F C. 12°F d. 18°F
Answer:
A.
Step-by-step explanation:
If the temperature was -3°F at first, but had decreased 15°F degrees by 5:00pm, it would be -18°F.
-3 - 15 = -18
Correct me if I end up being wrong.
what is the product of 7/8 x 4/7
Answer:
1/2
Step-by-step explanation:
7x4= 28
8x7= 56
simplify: 28/56=1/2
Answer: 7/8 x 4/21
(7x4)/(8x21)=28/168
Let's divide the top and bottom by 7...
(28/7)/(168/7)=4/24
Let's divide the top and bottom by 4...
1/6
Step-by-step explanation:
hope this helps have a great night❤️❤️❤️❤️