Answer: a=123
b=230
Step-by-step explanation:
Consider the expression 8ab+3b+16-4a How many terms are there , How many factors are in the first term , which term is a constant ?
Answer:
First there are 4 terms. I think/believe that there are 3 factors in the first term. And the answer to the last question is 16 or term 3.
Step-by-step explanation:
I hope this helps, plz mark me as brainlyest anyways I hope you get a good score on your test!!
Answer:
a. There are 4 terms in the expression
b. There are 3 factors in the first term.
c. The constant is 16.
8ab + 3b + 16 - 4a
A term is any signed number, a variable, or a constant multiplied by a
variable or variables.
Therefore, the terms are 8ab, 3b, 16, and -4a. The terms are 4 in numbers.
The first term is 8ab .The first term has the factors 8 , a and b. This means the first term have 3 factors.
The term that is a constant is 16
Step-by-step explanation:
What is 75% of 85$?
Pls help
Answer:63.75 :)
Step-by-step explanation:
Answer:
$63.75
Step-by-step explanation:
85 x 75/100
85/1 x 3/4
255/4 - > $63.75
- You should already know how to do this yourself as this is very easy and basic question.
What value of z should we use when making a 93% confidence interval for p?.
The crucial value (z) relies on the desired level of confidence and is predicated on a normal distribution when creating a confidence interval for a proportion (p) with a confidence level of 93%.
A 93% confidence level in this instance translates to an alpha level of 0.07 (1 - 0.93 = 0.07) that is split evenly between the two tails. In the usual normal distribution table, we search for the value that falls within the range of 0.07 to find the proper z-value. A 93% confidence level corresponds to a z-value of roughly 1.81. The confidence interval for the proportion p may be calculated using this number and provides a range where the genuine proportion is like to fall.
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highest common factor of 1800 and 42
Answer:
I think it is 6
Step-by-step explanation:
Find the general solution of the following differential equation. Primes denote derivatives with respect to x. 9x(x + y)y' = 9y(x - 6y) The general solution is (Type an implicit general solution in the form F(x,y) = C, where C is an arbitrary constant. Type an expression using x and y as the variables.)
The general solution to the given differential equation is\(y = (C_1)/(x(x-6y))\)where C_1 is the constant of integration.
The given differential equation is \(9x(x+y)y'=9y(x-6y)\)
Step 1: We can simplify this equation to get y' and dy/dx by dividing both sides by
9xy(x−6y) = (x−6y)dy/dx + y
=> dy/dx = y/[x(x−6y)] − 1/(x−6y)
Now, we can rewrite the differential equation as dy/dx = y/[x(x−6y)] − 1/(x−6y)
Step 2: This is a separable differential equation.
We can write it in the form
dy/dx + 1/(x−6y) = y/[x(x−6y)] Multiplying by the integrating factor μ(x) = e∫(1/(x−6y))dx gives us
\(\mu(x)dy/dx + [\mu(x)/(x-6y)] = \mu(x)y/[x(x-6y)]\)
We can simplify this as \(d/dx[\mu(x)y] = \mu(x)y/[x(x-6y)]\)
Integrating both sides, we get
ln|y| = ∫μ(x)/(x(x−6y)) dx + C where C is the constant of integration
Step 3: Now, we need to find the integrating factor μ(x). We can writeμ(x) = e∫1/(x−6y) dxSo, we substitute x−6y = t and get dx = dt + 6dy
So,
\(\mu(x) = e\int1/(x-6y) dx\)
= e∫1/t dt
= e^(ln|t|)
= |t|
= |x−6y|
Step 4: Substituting for μ(x) and simplifying the integral, we get
\(ln|y| = -(1/6)ln|x-6y| - (1/6)ln|x| + C'\)
=> \(ln|y| = ln((C_1)/(x(x-6y)))\)
=> \(y = (C_1)/(x(x-6y))\)
Where C_1 = e^C' is a new constant of integration \(y = (C_1)/(x(x-6y))\)
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what is 20x (to power -4) / 27y² divide 8x ( to power -3) / 15y ( to power -5 )
Answer:25/18y^7x
Step-by-step explanation:(Multiply the numerator by the reciprocal of the denominator.)
20x^-4/27y^2*15y^-5/8x^-3
then simplify
20*15/27y^7(8x)
cancel the common factor and you will get the answer
How do you find the area of a rhombus without diagonals?
The area of a rhombus can be found by multiplying the length of one of its sides by the height of a perpendicular line from the center to a side.
The height of the rhombus is the distance from the center of the rhombus to one of its sides, perpendicular to that side.
The formula for the area of a rhombus can be written as A = s*h, where A is the area, s is the length of one of the sides of the rhombus, and h is the height of the rhombus.
It's important to note that this method of finding the area of a rhombus without diagonals can only be used when the rhombus is a regular polygon, a polygon with all sides and angles congruent. When the rhombus is not a regular polygon, then you can find the area by using the diagonals.
Additionally, it's important to mention that a rhombus can be defined as a parallelogram with all sides congruent or a square with its angles not 90 degrees.
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Similar triangles find the value of X
Answer:
x=2
Step-by-step explanation:
Set up a ratio
6/(x+1)=10/(2x+1)
cross multiply
6(2x+1)=10(x+1)
12x+6=10x+10
12x-10x=10-6
2x=4
x=2
31. One serving of party drink is comprised of 3oz of syrup, 4oz of water, and 3oz of apple juice. If a large bowl of the drink contains 237oz of apple juice, how much of the total drink is in the bowl
Answer:
790 oz
Step-by-step explanation:
Ratio:
3oz syrup : 4oz water : 3oz apple juice: 1 serving: 10oz total mixture
We know there is 10oz total mixture because 3oz of syrup + 4oz of water + 3oz of apple juice = 10oz total mixture
We want to find
237oz apple juice: ?oz total mixture
To do this, we can multiply the ratio
3oz apple juice: 10oz total mixture by 237/3, because 237/3 * 3 = 237, getting us to 237oz apple juice on one side and maintaining the ratio so that we can find the total mixture amount, so we have
237oz apple juice: 10*237/3 oz total mixture = 10*79 = 790 oz
Haematuria + frequency + dysuria what is the diagnosis and investigations?
4 if the mixing ratio of a sample of air is 2 grams/kilogram, and the temperature of the sample is 25 degrees celsius, yielding a saturation mixing ratio of 20 grams/kilogram, what is the relative humidity of the sample?
Because the temperature is greater, the relative humidity of the atmosphere is higher.
Relative humidity: What is it?Water vapor is also measured by relative humidity (RH), which is stated as a percentage but RELATIVE to the air's temperature. In plenty of other terms, it is a comparison between the quantity of water vapor that is really present in the air and the maximum amount water vapor that is possible for the air at the current temperature.
How can relative humidity be determined from temperature?By deducting the temperature just on wet-bulb thermometer from of the temperature just on dry-bulb thermometers and utilizing a relative humidity chart, one may determine the relative humidity.
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6. Triangle JKL has vertices J(0, 2), K(-1,2), and
L(0, -3). What are the coordinates of the image of point
K after a dilation with a scale factor of 4?
Answer:
Point K: (-4, 8)
Step-by-step explanation:
using a scale factor means you will multiply that amount to the coordinates given. in this situation, i multiplied the coordinates of point K (-1, 2) by the scale factor of 4. This multiplication resulted in the new point: (-4, 8).
i hope this helps!
5 3/8 x 2 1/2 Sorry, I’m in a test. :’
Answer:
13 7/16
answer is a mixed number form i dont know how you wanted it .
Answer:
13 7/16 or 13.4375
Step-by-step explanation:
moe borrowed $700 for 18 months at 8% simple interest.
A. how much interest will Moe have to pay?
B. What will be the total amount he has to pay back?
Answer:
A-1008
B-1708
Step-by-step explanation:
8% of 700= 56
56x18=1008
700+1008=1708
Simple interest formula:
Interest = principal x rate x time
Principal = $700
Rate = 8% = 0.08
Time = 18/12 = 3/2
Interest = 700 x 0.08 x 3/2
Interest = $84
Total to pay back = 700 + 84 = $784
Find the inverse of g(x)=4/x+2
repeat the census logistic regression model that controlled only for capital gains but using a different random number seed (365 instead of 364) for the 80%/20% split. would you expect big differences in the accuracy using the training data? testing data?
Changing the seed value during testing and training of models would not have a huge impact on the model accuracy.
RANDOM NUMBER SEED
Seed values are used during model building mainly to ensure reproducibility. Setting a random state value means that output value generated for randomly generated events would be the same.
Features which impact accuracy of models include the amount of training set , number of features used in training , level of cleanliness of the data fed into the model and other factors which could impact how the model learns.
Therefore , random number seed does not determine how the model learns or captures information. Hence, having little to no impact on the accuracy of the model.
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Jodie wanted to match  Mandys obstacle course record of 68.2 seconds. She had already spent 40 1/4 seconds on rock climbing and 12.84 seconds on the ropes how much time did she have left to match the record
The time Jodie have left to match the record of Mandy is 15.11 seconds
TimeMandy's obstacle course = 68.2 secondsJodie:
Time spent climbing rock = 40 1/4 seconds= 40.25 seconds
Time spent on the rope = 12.84 seconds
Total time spent = 40.25 seconds + 12.84 seconds
= 53.09 seconds
Total time she have left to match the record = Mandy's obstacle course - Total time spent
= 68.2 seconds - 53.09 seconds
= 15.11 seconds
Therefore, the time Jodie have left to match the record of Mandy is 15.11 seconds
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suppose it is certain that an earthquake will occur someday. what is the probability (to the nearest percent) that it will occur while you are at work? assume you are at work 8 hours per day, 250 days per year.
To the nearest percent, the probability that an earthquake will occur while you are at work is approximately 23%.
The probability that an earthquake will occur while you are at work can be calculated by dividing the number of hours you are at work by the total number of hours in a year.
Step 1: Calculate the total number of hours in a year:
There are 24 hours in a day, so multiplying 24 by 365 (the number of days in a year) gives us 8,760 hours in a year.
Step 2: Calculate the number of hours you are at work in a year:
Since you work 8 hours per day, multiply 8 by 250 (the number of days you work in a year) to get 2,000 hours.
Step 3: Calculate the probability:
Divide the number of hours you are at work (2,000) by the total number of hours in a year (8,760) and multiply by 100 to convert to a percentage.
Probability = (2,000 / 8,760) * 100 = 22.83%
Therefore, to the nearest percent, the probability that an earthquake will occur while you are at work is approximately 23%.
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5'2 + 11 - 2
2'1
Please help me
Answer:16'3
Step-by-step explanation:
The price of an item has dropped to $34 today. Yesterday it was $40. Find the percentage decrease.
plz help me plz plz plz
plz
Answer: 549
Step-by-step explanation:
if two numbers are randomly chosen without replacement from $\{1, 2, 3, 4, 5\}$, what is the probability their sum is greater than their product? express your answer as a common fraction.
What is the likelihood that for at least a single two numbers is 1 if they are randomly selected from the range of 1, 2, 3, 4, 5, and 6? To remove one from the chance that no choices for 1 are made:
How do probability and an example work?
The likelihood of success is a measure of probability. the number of potential outcomes. For instance, the chance of tossing a coin & obtaining heads is 1 in 2, as there is only one way to acquire a head and there are a total of 2 possible outcomes (a head or tail).
We denote this with P(heads)
12 P(at least 1 one) = 1 - P. (no ones)
P(no ones) equals (5/6)*(5/6)
25/36 P(at least 1 one) equals (1 - 25/36)
11/36 P(sum higher than product) equals P(at least 1 one) = 11/36
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Express cos E as a fraction in simplest terms.
Answer: cos E=
E
10
24
C
0
The trigonometric ratio, cos E of the right triangle is 5 / 13.
How to find the angles of a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
A right triangle is a triangle that has one of its angles as 90 degrees.
The sides and angles of a right triangle can be found using trigonometric ratios. The sides of a right triangle base on its sides are as follows;
opposite sideadjacent sidehypotenuse sideTherefore,
cos E = adjacent / hypotenuse
Hence,
let's find the hypotenuse side using Pythagoras theorem,
24² + 10² = c²
c = √576 + 100
c = √676
c = 26
cos E = 10 / 26
Therefore,
cos E = 5 / 13
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if the odds on a bet are 16:1 against, what is the probability of winning? express your answer as a fraction.
The probability of winning is 1/17, which can also be expressed as a decimal (approximately 0.059) or as a percentage (approximately 5.9%).
The odds on a bet represent the ratio of the probability of winning to the probability of losing. In this case, the odds are 16:1 against winning, which means that the probability of winning is 1 out of 16.
To express this probability as a fraction, we can use the formula:
Probability of winning = 1 / (odds + 1)
Plugging in the given odds, we get:
Probability of winning = 1 / (16 + 1)
Probability of winning = 1/17
In this case, the odds of 16:1 against winning correspond to a probability of 1/17, which represents the chance of winning the bet.
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charles buys a pair of sneakers for 6.30. he wants to re-sell the pair of sneakers. he marks up the price by 40%. how much will he sell the pair of sneakers?
Answer:
Step-by-step explanation:
if Charles bought the sneakers for 6.30 and wants to re-sell them with 40% more,
first lets see how much is 40% of 6.30
(6.30*40)/100=2.52
he will resell the shoes with
6.30+2.52=8.82
Answer:
$\(8.82\)
Step-by-step explanation:
\(6.30 + 0.4\times6.30 = 8.82\)
\(\therefore\) Charles will sell the sneakers at a price of $\(8.82\)
Hope this helps :)
let fsx, y, zd − sx 1 sy 1 sz 1 lns4 2 x 2 2 y 2 2 z 2 d. (a) evaluate fs1, 1, 1d. (b) find and describe the domain of f.
First, let's evaluate f(1,1,1):
f(1,1,1) = -1/(1^2 + 1^2 + 1^2) ln(4(1)^2 + 2(1)^2 + 2(1)^2) = -1/3 ln(12)
So, f(1,1,1) = -ln(12)/3.
To find the domain of f, we need to consider the values of x, y, and z that make the denominator of f non-zero. The denominator is given by:
( x^2 + y^2 + z^2 ) ( 4x^2 + 2y^2 + 2z^2 )
This expression is always non-negative, and it is zero only when x = y = z = 0. Therefore, the domain of f is all points (x,y,z) in R^3 except the origin (0,0,0).
Hi! I'm happy to help with your question. We're asked to analyze the function f(x, y, z) = (x-1)(y-1)(z-1)ln(4-x^2-y^2-z^2).
(a) To evaluate f(1, 1, 1), we simply plug in the values x=1, y=1, and z=1 into the function:
f(1, 1, 1) = (1-1)(1-1)(1-1)ln(4-1^2-1^2-1^2) = 0 * 0 * 0 * ln(1) = 0.
(b) To find the domain of f, we need to identify the values of x, y, and z for which the function is defined. The only constraint on the domain comes from the natural logarithm function ln(4-x^2-y^2-z^2), which is only defined for positive arguments (greater than 0). Therefore, we have the inequality:
4 - x^2 - y^2 - z^2 > 0.
Rearranging the inequality, we get:
x^2 + y^2 + z^2 < 4.
This inequality describes a sphere with radius 2 centered at the origin. The domain of f consists of all points (x, y, z) inside this sphere, but not including the sphere's surface, as the logarithm function is undefined at 0. So, the domain of f is the open sphere with radius 2 centered at the origin.
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An aircraft carrier can travel 450 km in the same time a container ship travels 300 km. If the aircraft carrier was travelling 5 km/h faster what was the speed of the container ship?
Answer:
10 Km/h
Step-by-step explanation:
Let the speed of the container ship be y
The speed of the aircraft = y + 5
Next, we shall determine the time taken by the aircraft to travel 450 Km. This can be obtained as follow:
Speed of aircraft (Sₐ) = y + 5
Distance travelled (dₐ) = 450 Km
Time for aircraft (tₐ) =?
Speed = distance / time
Sₐ = dₐ / tₐ
y + 5 = 450 / tₐ
Cross multiply
(y + 5) × tₐ = 450
Divide both side by (y + 5)
tₐ = 450 / (y + 5)
Finally, we shall determine the speed of the carrier. This can be obtained as follow:
Speed of container ship (S꜀) = y
Distance travelled (d꜀) = 300 Km
Time for container ship (t꜀) = Time for aircraft (tₐ)
Time for aircraft (tₐ) = 450 / (y + 5)
t꜀ = tₐ
t꜀ = 450 / (y + 5)
Speed = distance / time
S꜀ = d꜀ / t꜀
y = 300 ÷ 450 / (y + 5)
y = 300 × (y + 5) / 450
y = (300y + 1500) / 450
Cross multiply
450y = 300y + 1500
Collect like terms
450y – 300y = 1500
150y = 1500
Divide both side by 150
y = 1500 / 150
y = 10 Km/h
Thus, the speed of the container ship is 10 Km/h.
с
7 km
24 km
What is the length of the hypotenuse?
h
kilometers
C =
Submit
Answer: 25
Step-by-step explanation:
The hypothenuse will be gotten by using Pythagoras formula. This will be:
Hypotenuse² = Opposite² + Adjacent²
Hypotenuse²= 7² + 24²
Hypotenuse² = 49 + 576
Hypotenuse² = 625
Hypotenuse = ✓625
Hypotenuse = 25kilometer
the area of a rectangular city park is 15/56 square miles. the width of the park is 3/7 mile. what is the length, in miles, of the park?
Answer:
5/8 is the length. Just divide 15/56 by 3/7.
Step-by-step explanation:
13 subtracted from a number is at most 10
Step-by-step explanation:
\(13 - x \leqslant 10\)
\(3 \leqslant x\)