To solve for x, we need to combine the like terms on the left-hand side of the equation and then isolate x on one side of the equation.
4a + 4a + 5a + x = 360
Combining like terms:
13a + x = 360
To isolate x, we need to subtract 13a from both sides of the equation:
x = 360 - 13a
Therefore, x is equal to 360 minus 13 times a.
to clear the equation 7.21x-4.1=-6.32 o the decimals, multiply each term by _____
given the equation:
\(7.21x-4.1=-6.32\)The coefficient of x has 2 decimals, to clear the decimal point, the number should be multiplied by 100
so, the answer will be:
To clear the decimals multiply each term by 100
a repeated-measures anova with 5 subjects has df within-treatment equal to 12. what is the value for dferror for this analysis?
the value for dferror for this analysis is 8.
What is error?
Error is the difference between an actual value and an estimate, or approximate, representation of that value in applied mathematics. The discrepancy between the population's average and the average of a sample taken from that population is a frequent example in statistics. The discrepancy between an irrational number's true value and the values of rational expressions like 22/7, 355/113, 3.14, or 3.14159 serves as an example of round-off error in numerical analysis. A truncation error happens when an infinite series is ignored for all but a small number of terms. For instance, the sum of the infinite series can be used to express the exponential function ex.
df-error = (df-within treatment) - (df-subjects)
df-subjects = n - 1 = 5 - 1 = 4 {n is the no of subjects}
df-within treatment = 12
df-error = 12 - 4 = 8
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Find the volume of the cylinder rounded to the nearest tenth.
Diameter is 12
Height is 4
I'm sorry for no providing a picture it wont allow me to screenshot!
Answer:
452.39
Step-by-step explanation:
Used volume formula
Answer:
V = 452.4
Step-by-step explanation:
V = πr²h
(3.14)(6)²(4) = 452.38934211
Aka h need to a plastic trim on a shaped window, the window is made using a rectangle and a semi circle, height is 172cm, base is 118cm. Akash estimate that he will need 700cm of plastic trim total, is akash estimate is sensible
Akash estimate of 700cm of plastic trim is not sensible because he needs more than that.
The diagram of the question is below.
The window is made of a semi circle and a rectangular. More like a composite figure.
Composite figure;Composite figure are 2 dimensional figures that combines two or more two dimensional figures. Therefore, the part the plastic trim was applied are those sharp line region. It's like finding the perimeter of the whole shaded region.
He estimate he will need 700 cm of plastic trim in total. Therefore, let check if his estimate is sensible.
Therefore,
whole perimeter where plastic trim will be applied = perimeter of the rectangle + perimeter of the semi circle + 2(radius of the semi circle).radius = 59 cm
perimeter of the rectangle = 2(113) + 2(118) = 462 cm
perimeter of the semi circle = 3.14 × 59 = 185.26 cm
Two radius = 2(59) = 118 cm
Therefore,
whole perimeter where plastic trim will be applied = 462 + 185.26 + 118 = 765.26 cm.
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a point P is 13cm from the centre of the circle. the lenght of the tangent drawn from P to the circle is 12cm find the radius of the circle
Answer:
The radius of the circle is 5 cm
Step-by-step explanation:
The given parameters are;
The distance of the point P from the center of the circle = 13 cm
The length of the tangent from the point P to the circle = 12 cm
The circle diagram is created with Microsoft Visio, from which we have;
The line drawn from the center to the point P, the tangent line from P to the circle and the radius of the circle form a right triangle
The length of the radius of the circle, r, is given by Pythagoras theorem as, follows;
r = √((13 cm)² - (12 cm)²) = 5 cm
Therefore, the radius of the circle = r = 5 cm.
Martin order a pizza with a 16-inch diameter. Ricky ordered a pizza with a 20-inch diameter. What is the approximate difference in area of the two pizzas?
A - 50 inches
B - 113 inches
C - 201 inches
D - 452 inches
Answer:
B. -113 inches
Step-by-step explanation:
First you have to find the radius of the two pizzas. The radius is half of the diameter. So, the first pizza would have a radius of 8 inches, since 8 is half of 16. The second pizza would have a radius of 10 inches, since 10 is half of 20. Then you would use the area formula to find the area of the two pizzas. The area formula is A=3.14R^2. The area of the first pizza is 201.06. The area of the second pizza is 314.16. Then you subtract those two numbers to get -113.1. The answer is -113 inches.
Plsss helppp ASAP
Will mark brainleist
Answer:
B
Step-by-step explanation:
The average rate of change in the closed interval [ a, b ] is
\(\frac{f(b)-f(a)}{b-a}\)
Here [ a , b ] = [ 15, 35 ]
and f(b) = f(35) = 400 ← from graph
f(a) = f(15) = 200 ← from graph
Then average rate of change is
\(\frac{400-200}{35-15}\) = \(\frac{200}{20}\) = 10 m/ s → B
Q10 1.0 An empty rectangular cage measures 3 m by 4 m by 12 m. What is the distance from one corner of the cage to the diagonally opposite corner? Give your answer as an exact number of metres.
please explain it for me
The distance from one corner of the cage to the diagonally opposite corner is 5m
The diagonal from one side of the rectangle to another side of the rectangle is known as the hypotenuse. The diagonal divides the rectangle into 2 right-angled triangles
The hypotenuse can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = width
c = hypotenuse
3² + 4² = c²
c² = 9 + 16
25 = c²
c = √25
= 5 m
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Yesterday, Alonso walked 6 miles in 2 hours. Assume he continued at that pace. Complete the table in the interactive, and graph the relationship.
Answer: y = 3x is your answer in Edg
Step-by-step explanation:
Answer:
The answer is y=3x i just got it right
Step-by-step explanation:
sorry if i'm to late :)
A circle has a circumference of 1,133.54 units.What is the diameter of the circle?
Answer:
361 units
Step-by-step explanation:
Marble Inc. makes countertops from a variety of high-end materials. To monitor the quality of its production processes the company randomly selects one countertop and counts the number of blemishes. The results for ten samples are shown below: Sample No. No. of Blemishes 2 3 4567 89 10 17 19 15 18 16 14 15 16 15 15 Given the sample information above, the UCL using sigma = 3 for this process would be O 28 036 O 32 O 30
The UCL (Upper Control Limit) using sigma = 3 for this process would be 30. The UCL utilizing sigma=3 for this process would be 28.036.
In statistical process control, the upper control limit (UCL) is utilized as a device to identify when to stop a process due to a high variation.
A process that exceeds its UCL will result in defective or inconsistent items, which should be avoided.
Marble Inc. produces high-end countertops from a variety of materials. The company employs the process of randomly selecting one countertop to count the number of blemishes as a means of monitoring the quality of its production processes.
The formula for calculating UCL is as follows: UCL = average of blemishes + 3 × standard deviation For ten samples with a different number of blemishes in each sample, the UCL is determined.
Using the given formula for UCL using sigma= 3: UCL = (2+3+4+5+6+7+8+9+10+17)/10 + 3 × √[(2-9.1)² + (3-9.1)² + (4-9.1)² + (5-9.1)² + (6-9.1)² + (7-9.1)² + (8-9.1)² + (9-9.1)² + (10-9.1)² + (17-9.1)²]/10UCL = 28.036
From the above calculations, the UCL utilizing sigma=3 for this process would be 28.036.
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how can knowledge of circles apply to daily life??
Answer:
sdgsdgsdgsdgsdgsd
Step-by-step explanation:
gsdgsdgsdgsdgsd
find the zeros of the function by factoring f(x)=x^2+16x+60
Please show work if you can
Answer:
-6 and -10
Step-by-step explanation:
First find two numbers that multiply to 60 and add up to 16
these numbers are 6 and 10
then write the numbers in factored form: (x+6) (x+10)
Then set each one equal to zero and solve to find the zeros of the function
x+6=0 --> x=-6
x+10=0 --> x=-10
the zeros of the function are -6 and -10
Hope this helps!
Solve the equation d divided by 1.2 is equal to 6 PLS HELPP
Answer:
The answer is 7.2.
Step-by-step explanation:
Have a great day.
Answer:
d = 7.2
Step-by-step explanation:
all you have to do is multiply 1.2 by 6 to get your answer
\(1.2 \times 6 = 7.2\)
All the data collected in a particular study are referred to as the? inference. variable. data set. population.
Inference is referred to as all the data collected in a particular study.
What is inference?Etymologically, the word "infer" means to "carry ahead." Inferences are stages in reasoning that connect premises to logical conclusions. The dichotomy between deduction and induction in inference theory, which dates at least to Aristotle in Europe, is a classic one (300s BCE). Deduction is inference that results in logical conclusions from premises that are known to be true or that are presumed to be true, while the logic of correct inference is investigated. A universal conclusion is inferred by induction from specific evidence. Contradistinguishing abduction from induction, Charles Sanders Peirce is credited with identifying a third sort of inference. Researchers in the domains of logic, argumentation studies, and cognitive psychology traditionally study human inference (i.e., how people draw conclusions); artificial intelligence researchers create automated inference systems to mimic human inference.
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Which rate does not belong with the other three?Explain
8 pounds for every 2 feet
12 pounds peer 3 feet
20 pounds per 4 feet
24 pounds for every 6 feet
Answer:
The rate "20 pounds per 4 feet", doesn't belong with the other three because you get "5 pounds per foot" for the unit rate and for the other three, you get "4 pound per foot" for the unit rate.
Step-by-step explanation:
Unit rate = How much of something per 1 unit of something else
We write this as a ratio with a denominator of one
In this case, we are using "pound per foot"
1. "8 pounds for every 2 feet"
You can find the unit rate by dividing the first term of the ratio by the second term
\(\mathrm{\dfrac{ 8\:pounds }{ 2\:feet }}\)
Simplify
\(\mathrm{4\:pounds}\)
Unit rate = 4 pounds per foot
2. "12 pounds per 3 feet"
First, write the rate as a fraction
\(\mathrm{\dfrac{ 12\:pounds }{ 3\:feet }}\)
Next, divide the numerator and denominator by 3
\(\mathrm{\dfrac{ 12\:pounds \div 3 }{ 3\:feet \div 3 }}\)
Lastly, simplify and turn the denominator equal to 1
\(\mathrm{\dfrac{ 4\:pounds }{ 1\:foot }}\)
Unit rate = 4 pounds per foot
3. "20 pounds per 4 feet"
First, write the rate as a fraction
\(\mathrm{\dfrac{ 20\:pounds }{ 4\:feet }}\)
Next, divide the numerator and denominator by 4
\(\mathrm{\dfrac{ 20\:pounds \div 4 }{ 4\:feet \div 4 }}\)
Lastly, simplify and turn the denominator equal to 1
\(\mathrm{\dfrac{ 5\:pounds }{ 1\:foot }}\)
Unit rate = 5 pounds per foot
4. "24 pounds for every 6 feet"
You can find the unit rate by dividing the first term of the ratio by the second term
\(\mathrm{\dfrac{ 24\:pounds }{ 6\:feet }}\)
Simplify
\(\mathrm{4\:pounds}\)
Unit rate = 4 pounds per foot
The rate that doesn't belong is "20 pounds per 4 feet"
HELPPPPPPPP PLEASE HELP ME EEEEEE
Answer: The correct answer is b
Step-by-step explanation:
25% off $30 is 22.50 and then when you add 7%ax it turns out to be 24.08
Please help and match the following.
Answer:
-4x^3 is a monomial
2x + 3 is a binomial
5x^2 + 2x - 10 is a trinomial
Step-by-step explanation:
Monomial equations have one term, biomials have two terms, and trinomial have three.
Answer:
-4x^3 is Monomial
2x + 3 is binomial
5x^2 + 2x - 10 is trinomial
Step-by-step explanation:
Monomial means one term
Binomial is 2 terms
Trinomial is 3 terms
Hope this helps!
expand and simplyfy 4(2x+3) +4(3x+2)
Answer:
x=1 I'm not sure if I'm correct
Step-by-step explanation:
4x2x=8x
4x3=12
4x3x=12x
4x2=8
8x+12=12x+8
8x-12x= 8-12
-4x=-4 divide -4x in both side so the answer should be x=1
Sandra graphed the system of equations that can be used to solve x cubed minus 2 x squared minus 11 x 12 = x cubed minus 13 x minus 12.
The points on the graph where y equals zero represent the solutions to the original equation.
However, please note that the equation you provided,
\(x^3 - 2x^2 - 11x + 12 = x^3 - 13x - 12\), simplifies to \(-2x^2 + x + 24 = 0\). The original equation \(x^3 - 2x^2 - 11x + 12 = x^3 - 13x - 12\) does not have any variable x terms on the right side, which results in the elimination of all x terms in the simplified equation.
To graph the system of equations that can be used to solve the equation \(x^3 - 2x^2 - 11x + 12 = x^3 - 13x - 12,\)
we need to rewrite the equation in a form that represents a system of equations.
Rearranging the equation, we get:
\(x^3 - 2x^2 - 11x + 12 - (x^3 - 13x - 12) = 0\)
Simplifying:
\(-2x^2 + 2x - x + 24 = 0\)
Combining like terms:
\(-2x^2 + x + 24 = 0\)
Now, let's represent this equation as a system of equations by setting the left side of the equation equal to y:
\(y = -2x^2 + x + 24\)
We can then graph this equation using a coordinate plane. The x-axis represents the values of x, and the y-axis represents the corresponding values of y.
By plotting points on the graph values based on various of x, we can obtain the graph of the equation\(y = -2x^2 + x + 24.\)
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Identify C on the following diagram
Answer: X-axis
Step-by-step explanation: The arrow is pointing to the horizontal line on the on the graph. That horizontal line is the x-axis.
An angle measures 168° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
11 degrees and 169 degrees
Step-by-step explanation:
it is this because supplementary is 180
Answer:
174 and 6
Step-by-step explanation:
make me brainleist
en una granja hay comida para alimentar a 300 conejos durante 60 días. Cuántos conejos hay que vender si se quieren alimentar durante 15 días más?
The number of rabbits that must be sold if they want to be fed for 15 more days is 150 rabbits.
In a farm, there is food to feed 300 rabbits for 60 days.
Let x be the number of rabbits that must be sold if they want to be fed for 15 more days.
From the given data, we have the following equation:
300 * 60 = (300 - x) * 75
The equation represents the amount of food for 300 rabbits that can last 60 days is equal to the amount of food for 300 - x rabbits that can last 75 days.
Solving for x, we get:
x = 150 rabbits
Hence, the number of rabbits that must be sold if they want to be fed for 15 more days is 150 rabbits.
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If Sarah spins the spinner and rolls the number cube, what is the probability that her spin on the spinner and her roll of the number cube produce a sum of "2"?
The probability of Sarah's spin on the spinner and her roll of the number cube producing a sum of 2 is 1/18
How to find the probabilityIf the spinner has 1, 2, and 3 and the number cube has the numbers 1 through 6, there is only one way to get a sum of 2: by spinning
a 1 on the spinner and rolling a 1 on the number cube.Since the probability of spinning a 1 on the spinner is 1/3 and the probability of rolling a 1 on the number cube is 1/6, we can find the probability of both events happening together by multiplying their individual probabilities:
= 1/3 x 1/6
= 1/18
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A scientist is conducting an experiment with a pesticide. Use a calculator to find an exponential model for the data below. Use the model to determine how much pesticide remains after 180 hours. Day 0 20.90g Day 1 14.73g Day 2 11.29g Day 3 8.38g Day 4 6.82g Day 5 4.75g Day 6 3.15g
Using a calculator, the exponential model for the data is
\(y = 20.90 \times {0.75}^{x} \)
0.0000000003919 will be left after 180 hours.
Exponential functionThe exponential function is modeled using the relation
\(y = a( {1 + r)}^{x} \)
a = Initial amount
r = growth rate
x = time interval
Using an exponential growth calculator, the exponential model obtained for the dataset :
Day | Amount
------- | --------
0 | 20.90
1 | 14.73
2 | 11.29
3 | 8.38
4 | 6.82
5 | 4.75
6 | 3.15
Exponential model : \(y = 20.90 \times {0.75}^{x} \)
After 180 hours :\(y = 20.90 \times {0.75}^{180} \)
≈ 0.0000000003919
The amount of pesticide left after 180 hours is 0.0000000003919
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answerrrrrr plssss ill giveee brainliesttttt
\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)
What is the value of x? (Round to the nearest tenth)
PLEASE HELP ILL GIVE BRAINLY
Step-by-step explanation:
tan 32 = x/46
x = 46 tan 32 = 28.7
Evaluate the problem
Answer:
.6
Step-by-step explanation:
First find < ABC
Since this is a right triangle, we can use trig functions
tan < ABC = opp / adj
tan < ABC = 2/4
Take the inverse tan of each side
tan ^-1 tan < ABC = tan ^-1 2/4
< ABC = 26.56505118
Multiply by 2
53.13010235
Take the cos
cos (53.13010235)
.6
HELP HELP!!! 15 POINTS!!!!
d) Alternate interior angle to angle 3 is angle 6.
e) Alternate exterior angle of angle 7 is angle 2
Answer:
thanks
Step-by-step explanation:
If A and B are mutually exclusive, then P(A\capB) = 0.
A and B are independent if and only if P(A\capB) = P(A)P(B)
If A and B are two events with P(A) = 0.4, P(B) = 0.2, and P(A B) = 0.5. Find the following:
(a) P(A\capB) (b) P(A?\capB) (c) P(A?\cupB?) (d) P(A|B)
If A and B are independent events with P(A) = 0.4 and P(B) = 0.2. Find the following:
Roll a die once. The event of getting a "2" and the event of getting a "5" are (a) independent;
(b) mutually exclusive;
(c) Neither
Roll a die twice. The event of getting a "2" on the first roll and the event of getting a "5" on the second roll are
(a) independent;
(b) mutually exclusive;
(c) Neither
The probability of both events occurring is P(A ∩ B) = P(A)P(B) = 0.16^2 = 0.0256.
The event of getting a "2" and the event of getting a "5" on the first roll of a die are mutually exclusive events because they cannot both occur in the same trial. The probability of either of these events occurring is P(A) = 0.16, and the probability of both events occurring at the same time is P(A ∩ B) = 0.00.
The event of getting a "2" on the first roll and the event of getting a "5" on the second roll of a die are independent events. This can be confirmed using the formula P(A ∩ B) = P(A)P(B). The probability of getting a "2" on the first roll is P(A) = 0.16 and the probability of getting a "5" on the second roll is P(B) = 0.16. Thus, the probability of both events occurring is P(A ∩ B) = P(A)P(B) = 0.16^2 = 0.0256.
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