please help factorise 7ab+a
Answer:
= a(7b + 1)
Step-by-step explanation:
7ab + a
a(7b + 1).
A bag of peanuts could be divided among 8 children, 9 children, or 10 children with each getting the same number, and with 2 peanuts left over in each case. What is the smallest number of peanuts that could be in the bag?
A bag of peanuts could be divided among 8 children, 9 children, or 10 children with each getting the same number, and with 2 peanuts left over in each case. The smallest number of peanuts that could be in the bag is 26.
This is because 8 children could each get 3 peanuts and there would be 2 peanuts left over, 9 children could each get 2 peanuts and there would be 2 peanuts left over, and 10 children could each get 2 peanuts and there would be 2 peanuts left over.
Small number means a number that is insufficiently large to be statistically significant, as determined by the department. Counting numerals are included in whole numbers as well. Whole numbers begin at zero. As a result, the least whole number is 0. Even though zero has no value, it is employed as a placeholder.
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by approximately how much does the volume increase when the radius changes from 7 to 7.1 ft? (use your answer from above!)
The volume increase when the radius changes from 7 to 7.1 ft is 62.45 ft³ i.e. 4.34%. of the previous volume.
We know that the volume of the sphere is 4/3πr³.
So, here the radius of the sphere is 7 ft,
Therefore the volume of the sphere will be = 4/3π(7)³.
so, V1 = 4/3*3.14*(7)³.
V1 = 1436.76 ft³.
When the radius of the sphere will increase tp 7.1 feet then the volume will also increase which will be :
V2 = 4/3*3.14*(7.1)³.
V2 = 1499.21 ft³.
Now the increase in volume is V2- V1 .
which is , 1499.21 ft³ - 1436.76 ft³
i.e. 62.45 ft³ is the increase of the volume of the sphere.
This increased volume is the 4.34% of the previous volume of the sphere.
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What is the bohr diagram for Titanium +4charge ions.
Answer:
Step-by-step explanation:
thats the link for the diagram
Answer:
The nucleus of a titanium atom has 22 protons and 26 neutrons
If you search online for 'Bohr's diagram for titanium' it might help.
__
It will become Ti ^4+
Bohr diagrams indicate how many electrons fill each principal shell. This means that they can achieve a stable configuration and a filled outer shell by donating or losing an electron. As a result of losing a negatively-charged electron, they become positively-charged ions.
I really need help with this worksheettt please
Answer:
2x² + x + 3
Step-by-step explanation:
2x² + x + 3
2x² + (5/2)x + 3
a can of soda is placed inside a cooler. as the soda cools, its temperature in degrees celsius is given by the following function, where is the number of minutes since the can was placed in the cooler. find the temperature of the soda after minutes and after minutes. round your answers to the nearest degree as necessary.
The temperature of the soda after 20 minutes is approximately -18 degrees Celsius. To find the initial temperature of the soda, we can evaluate the function T(x) at x = 0.
Substitute x = 0 into the function T(x):
T(0) = -19 + 39e^(-0.45*0).
Simplify the expression:
T(0) = -19 + 39e^0.
Since e^0 equals 1, the expression simplifies to:
T(0) = -19 + 39.
Calculate the sum:
T(0) = 20.
Therefore, the initial temperature of the soda is 20 degrees Celsius.
To find the temperature of the soda after 20 minutes, we substitute x = 20 into the function T(x):
Substitute x = 20 into the function T(x):
T(20) = -19 + 39e^(-0.45*20).
Simplify the expression:
T(20) = -19 + 39e^(-9).
Use a calculator to evaluate the exponential term:
T(20) = -19 + 39 * 0.00012341.
Calculate the sum:
T(20) ≈ -19 + 0.00480599.
Round the answer to the nearest degree:
T(20) ≈ -19 + 1.
Therefore, the temperature of the soda after 20 minutes is approximately -18 degrees Celsius.
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INCOMPLETE QUESTION
A can of soda is placed inside a cooler. As the soda cools, its temperature Tx in degrees Celsius is given by the following function, where x is the number of minutes since the can was placed in the cooler. T(x)= -19 +39e-0.45x. Find the initial temperature of the soda and its temperature after 20 minutes. Round your answers to the nearest degree as necessary.
need help asap!!!!!! Marcel is performing the first test on his company’s new electric car. During the test, the electric car reaches a maximum speed of 81 mph.
The performance test results of the electric car can be modeled by the following table, where x represents time, in seconds at the start of the test, and y represents the speed, in miles per hour.
For this case we have the following variables:
x: represents time, in seconds at the start of the test.
y: represents the speed, in miles per hour.
We have then that:
x = 0 ---> y = 0
x = 12 ---> y = 0
Answer:
the electric car is not moving at 0 seconds and 12 seconds
I hope this helps!
the electric car is not moving at 0 seconds and 12 seconds
I hope this helps!
Please help Me ASAP!!!!!!!!!
Answer:
to make one tortilla, you need 0.75, or 3/4 cup of flour for every 1 cup of water
Step-by-step explanation:
For her final project Stacy plans on surveying random sample of 50 students on whether they plan to go to Florida for Spring Break From past years she guesses that about 11%0 of the class goes reasonable for her t0 use Normal model for the sampling distribution of the sample proportion? Why or why not?
To decide whether it is sensible for Stacy to utilize the ordinary show for the inspecting conveyance of the test extent, we got to check whether the conditions for utilizing the typical conveyance estimation are met. The conditions are:
The test estimate is expansive sufficient
The test information is autonomous
The populace is at slightest 10 times bigger than the test
The test estimate, in this case, is 50. To check whether it is expansive sufficient, ready to utilize the run the show of thumb that the test measure ought to be at the slightest 10% of the populace estimate.
Hence, based on these conditions, it is sensible for Stacy to utilize the ordinary demonstration for the inspecting conveyance of the test extent. She can accept that the testing dispersion is roughly typical with a cruel of p = 0.11 and a standard deviation of sqrt[(p(1-p))/n] = sqrt[(0.11(0.89))/50] = 0.05.
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The two-way table below gives information on seniors and juniors at a high school and by which means they typically get to school.
you select one student from this group at random. what is the probability that this student typically walk to school
Answer:
The answer is 0.16
Step-by-step explanation:
Just divide 88 (the total number of students that walk) by 550 (total number of juniors+seniors) since its not asking about a certain grade level
The likelihood of the frequency of an event in repeated trials under similar conditions is?
The probability of the frequency of an event in repeated trials under comparable circumstances is a statistical analysis.
What is Statistical analysis?The study of statistics is the field that deals with the gathering, structuring, analyzing, interpreting, and presenting of data. In order to apply statistics to an issue in science, business, or society, it is customary to start with a statistical population or a statistical model that will be investigated.
What accomplishes statistical analysis?Finding the distribution hidden in your data is the aim of a statistical analysis. What do you mean by the distribution that lies underlying my data? "The distribution of your data describes the peaks and valleys of its characteristics in relation to a target population.
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Help!!! Thank you
Math xl
Answer:
A= 648 :)
Step-by-step explanation:
.At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of acetate fibers that can be produced is given by the function: z = f(x, y) = 14500x + 4000y + 15x²y - 11x3 = Where: z = the weekly # of pounds of acetate fiber X = the # of skilled workers at the plant y = the # of unskilled workers at the plant Determine the following: A) The weekly number of pounds of fiber that can be produced with 18 skilled workers and 31 unskilled workers. Answer = pounds B) Find an expression (fx) for the rate of change of output with respect to the number of skilled workers. Answer = fx C) Find an expression (fy) for the rate of change of output with respect to the number of unskilled workers. Answer = fy D) Find the rate of change of output with respect to skilled workers when 18 skilled workers and 31 unskilled workers are employed. (Your answer will be a number.) Answer =
The rate of change of output with respect to skilled workers when 18 skilled workers and 31 unskilled workers are employed is 427.94.
Given, the function is z = f(x, y)
= 14500x + 4000y + 15x²y - 11x³
Where, z = the weekly # of pounds of acetate fiber
X = the # of skilled workers at the planty = the # of unskilled workers at the plant
(a) We are given the values of skilled workers and unskilled workers, we need to calculate the number of pounds of fiber that can be produced.
Put x = 18
and y = 31 in the given function
z = f(x, y)
= 14500x + 4000y + 15x²y - 11x³z
= 14500 (18) + 4000 (31) + 15 (18)² (31) - 11 (18)³
= 261180 lbs
Hence, the weekly number of pounds of fiber that can be produced with 18 skilled workers and 31 unskilled workers is 261180 lbs.
(b) We need to find an expression (fx) for the rate of change of output with respect to the number of skilled workers.
Differentiate the given function with respect to x.
z = f(x, y)
= 14500x + 4000y + 15x²y - 11x³∂z/∂x
= 14500 + 30xy - 33x²
= 14500 + 30y (x - 11x²/30y)fx
= ∂z/∂x = 14500 + 30y (x - 11x²/30y)
Hence, the expression (fx) for the rate of change of output with respect to the number of skilled workers is fx = 14500 + 30y (x - 11x²/30y).
(c) We need to find an expression (fy) for the rate of change of output with respect to the number of unskilled workers.
Differentiate the given function with respect to y.z
= f(x, y)
= 14500x + 4000y + 15x²y - 11x³∂z/∂y
= 4000 + 15x²
= 15 (x² + 267)fy
= ∂z/∂y
= 15 (x² + 267)
Hence, the expression (fy) for the rate of change of output with respect to the number of unskilled workers is fy = 15 (x² + 267).
(d) We need to find the rate of change of output with respect to skilled workers when 18 skilled workers and 31 unskilled workers are employed.
Put x = 18 and
y = 31 in the expression of fx.
fx = 14500 + 30y (x - 11x²/30y)
= 14500 + 30 (31) (18) - 11 (18)² / 31
= 14500 + 16740 - 12762/31
= 427.94
Hence, the rate of change of output with respect to skilled workers when 18 skilled workers and 31 unskilled workers are employed is 427.94.
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Mary has taxable income of $40,000, with short-term capital gains of $2,500. What will be her capital gains tax rate and tax owed? Single Taxpayers: Income Brackets Tax Rate Income Bracket 10% 0 to 9,525 12% 9,526 to 38,700 22% 38,701 to 82,500 24% 82,501 to 157,500 32% 157,501 to 200,000 35% 200,001 to 500,000 37% > 500,000 Single Taxpayers: Qualified Dividends and Long-Term Capital Gains Tax Rate Income Bracket 0% 0 to 38,600 15% 38,601 to 425,800 20% > 425,800 A. 0% tax rate with no taxes owed B. 15% tax rate with $375 in taxes owed C. 22% tax rate with $550 in taxes owed D. 24% tax rate with $600 in taxes owe
Answer:
The correct option is B,15% tax rate with $375 in taxes owed
Step-by-step explanation:
Mary has a taxable income of $40,000 which implies that Mary falls into tax bracket of capital gains tax of 15% for taxable income between $38,601 and $425,800.
The amount capital gains tax payable is however the capital gains itself multiplied by the percentage applicable of 15% not the entire taxable income since that consisted of other income from other sources aside from capital gains
capital gains tax=$2500*15%=$375
Answer: Its C, the rationale is that short-term capital gains are taxed at income tax rate
Step-by-step explanation:
$2500=$550 22%
Plato
Juan must purchase car insurance. He needs to earn at least $50.00 a week to cover the payments.
The most he can work each week is 8 hours because of football practice. Juan can earn $10.00 per
hour mowing yards and $12.00 per hour washing cars.
(10x + 12y 50
The system (x + y = 8
represents Juan's situation.
Part A: Define the variables.
Answer:
Step-by-step explanation:
6x+42 Factor the Expression
Answer:
6(x+7)
Step-by-step explanation:
Find the area of the regular polygon
Answer:
891.75 sq.ft is the area of the polygon
Step-by-step explanation:
9.2^2 + 10^2= 184.64
√184.64= 13.59 feet
area of regular octagon=A=2(1+√ 2)a^2
A= 2(1+√2)13.59^2
A=891.75 sq.ft(approx)
find the critical value(s) and rejection region(s) for the type of z-test with level of significance . include a graph with your answer. right-tailed test, a=0.03.
Answer:
c
Step-by-step explanation:
The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.
The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88 OR Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.
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help me with this question please
Answer:
N+1
Step-by-step explanation:
It begins with = 2
then n+1=3
then n+2=4 and so on it is n+1
}
ons Help
Last edit was 1 hour ago
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Problem Solving
D A farmer watered 10/82 of a field. What decimal is
equivalent to the fraction of the field the farmer
watered?
type here
Answer:
0.1219512195122
Step-by-step explanation:
To write 10/82 as a decimal you have to divide numerator by the denominator of the fraction.
We divide now 10 by 82 what we write down as 10/82 and we get 0.1219512195122
In the figure, AOB and COD are straight lines. Find x and y.
E
A
20
65
B
The image of the straight lines is missing so i have attached it.
Answer:
x = 20°
y = 120°
Step-by-step explanation:
From the image attached, we can say that;
3x + (7x - 20) = 180
This is because sum of angles on a straight line is 180°
Thus;
3x + 7x - 20 = 180
10x = 180 + 20
10x = 200
x = 200/10
x = 20°
Also,3x + y = 180
Because sum of angles on a straight line is 180°. Thus;
3(20) + y = 180
60 + y = 180
y = 180 - 60
y = 120°
a. if 5 of her customers in the restaurant one day, what is the probability that 2 of them are vegetarian?
The probability that 2 of 5 customers are vegetarian is 0.0981 or 9.81%.
The given case represents a binomial distribution. Binomial distribution refers to a discrete probability distribution that is characterized by two possible results (success or failure) and each trial has the same probability of attaining one particular value. It determines the probability of attaining a specified number of successful outcomes (x) in a specified number of trials (n).
P(x)\ =\frac{n!}{x!(n-x)!}\ast p^x\ast{(1-p)}^{n-x}
Where n is the total number of outcomes, x is the desired outcome, and p is the probability of success. In the given case, n = 5; x = 2; and p = 0.12.
P(x)\ =\frac{n!}{x!(n-x)!}\ast p^x\ast{(1-p)}^{n-x}
P(x)\ =\frac{5!}{2!(3)!}\ast0.12^2\ast{(1-0.12)}^{3}
P(x)\ =\frac{5*4*3!}{2*1(3)!}\ast{0.0144}\ast{0.6814}
P(x) = 0.0981 or 9.81%
Note: The question is incomplete. The complete question probably is: A manager at a Boston restaurant surveyed all her customers and found that 12% are vegetarian. If 5 of her customers in the restaurant one day, what is the probability that 2 of them are vegetarian?
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Keon biked 78 kilometers in 3 hours. How many kilometers did he bike per hour
Answer:
26km/hr
Step-by-step explanation:
78 divided by 3 hours is equal to 26km/hr
I’m brain dead rn pls help
Answer:
X=0
HEY, THE ANSWER IS (the elements are listed in order of increasing atomic number.) JOIN ME IN ZOOM.
MEETING NUMBER IS 428-303-6421
MEETING PASSWORD IS NVA37n
Step-by-step explanation:
1. An investor deposits $1000 in an account that promises an annual interest rate of 5%,
compounded at the end of each year. How much will be in the account after seven years?
Answer:
$1,407.10
Step-by-step explanation:
1000(1.05)^7 = 1.05^7 ≈ 1.40710 * 1000 = $1,407.10
Example: if XYZ - RST, find the value of x.
Answer:
x = 12
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion, that is
\(\frac{XY}{RS}\) = \(\frac{XZ}{RT}\) ( substitute values )
\(\frac{5x-3}{3x+2}\) = \(\frac{60}{40}\) = \(\frac{3}{2}\) ( cross- multiply )
2(5x - 3) = 3(3x + 2) ← distribute parenthesis on both sides )
10x - 6 = 9x + 6 ( subtract 9x from both sides )
x - 6 = 6 ( add 6 to both sides )
x = 12
What is the length of K Street and D Street?
Answer:
775 ft
Step-by-step explanation:
1000/800= K/620
800K = 620,000
K = 775 ft
4. because we are using a coin flip app, this experiment really tests only that app inventor's random integer block generates 1 around half the time. is this a sufficient test for app inventor's prng? what other experiments might you do to increase your confidence in app inventor's prng?
App inventor's random integer block test is sufficient for app inventor's prng . but to increase our confidence in app inventor's prng we can do other tests like random fraction test and random set speed test.
The Coin Flip Experiment app allows you to run experiments aimed at determining how "good" the App Inventor PRNGs are. The app allows the user to "flip a coin" her N times and the results are displayed. They should record and count the results and calculate the average head percentage. The expectation of should reach 50% on average as N increases.
To properly test an App Inventor PRNG, you must test both the Random Integer and Random Fraction blocks along with the Random Fraction and Random set speed to blocks. Create dice simulations to get better than 50/50 predictions and reuse dice simulators for all combinations of different App Inventor random blocks. If such a combination yields the same results, then you can be confident that her PRNG in App Inventor provides a good model of randomness from all angles.
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Dania had discovered that three 4 inches diameter balls fitted exactly into the bottom of a cylindrical jar. She dropped the 4th ball on top of the three and poured water. If the height of the jar is 20 inches, determine the volume of water just enough to cover the 4 balls.
The volume of each ball is (32/3)π cubic inches, and the volume of water just enough to cover the four balls is also (32/3)π cubic inches.
First, let's calculate the volume of each ball. The diameter of each ball is given as 4 inches, so the radius (half the diameter) of each ball is 2 inches. The formula to calculate the volume of a sphere is V = (4/3)πr^3, where V represents volume and r represents the radius.
For each ball, the volume is:
V = (4/3)π(2³)
V = (4/3)π(8)
V = (32/3)π cubic inches
Since there are three balls at the bottom of the jar, the combined volume of these three balls would be:
3 * (32/3)π = 32π cubic inches
Now, let's consider the fourth ball. Since it is dropped on top of the three balls, it will displace some water, and the volume of the water needed to cover the four balls will be equal to the volume of the fourth ball.
To find the volume of the fourth ball, we use the same formula:
V = (4/3)πr³
Since the diameter of the fourth ball is also 4 inches, its radius is 2 inches. Substituting this value into the formula, we get:
V = (4/3)π(2³)
V = (4/3)π(8)
V = (32/3)π cubic inches
Therefore, the volume of water required to cover the four balls is also (32/3)π cubic inches.
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Find 5.7 (-4.2) write your answer as a decimal
Answer:
-23.94 Please Mark Me Brainliest
Step-by-step