What is the expression resulting from the following diagram?
3x)
Drop Down 1]
-2x-5
[Drop Down 2]
-4/11
[Drop Down 3]
[Drop Down 1)
Select a Value
Drop Down 2]
Select a Value
Drop Down 3]
Select a Value
Answer:
1. -12x^8
2. 8x^6
3. 16x^11
Step-by-step explanation:
The required values for the given table are -12x⁸, 8x⁶ and 16x¹¹ respectively. To understand the calculations, check below.
Multiplication table:The given table represents the Multiplication table.
To fill the table we need to multiply the corresponding elements of that cell of the table.
For drop-down 1,
[tex](-4x^{11})\times (3x^{-3})=(-4\times 3)x^{11-3}[/tex]
[tex](-4x^{11})\times (3x^{-3})=-12x^{8}[/tex]
For drop-down 2,
[tex](-4x^{11})\times (-2x^{-5})=(-4\times (-2))x^{11-5}[/tex]
[tex](-4x^{11})\times (-2x^{-5})=8x^{6}[/tex]
For drop-down 3,
[tex](-4x^{11})\times (-4)=(-4\times (-4))x^{11}[/tex]
[tex](-4x^{11})\times (-4)=16x^{11}[/tex]
Therefore, the required values are -12x⁸, 8x⁶ and 16x¹¹ respectively.
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https://brainly.com/question/17211095
what is 2/3 - 5/12 equal to
Answer:
8/12-5/12=3/12 or 1/4 :)
Answer:
1/4 = 0.25
Step-by-step explanation:
2/3 - 5/12
Least common multiple of 3 and 12 is 12. Convert 2/3 and 5/12 to fractions with denominator 12.
8/12 - 5/12
Since 8/12 and 5/12 have the same denominator, subtract them by subtracting their numerators.
8-5/12
Subtract 5 from 8 to get 3.
3/12
Reduce the fraction 3/12 to lowest terms by extracting and canceling out 3.
1/4
12. What is 5% of 210?
Answer:
10.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
10.5
A triangular prism has base edges 2 cm, 6 cm, and 7 cm long. Its lateral area is 330 cm2. What is the height of the prism? cm. The height of the prism is (Simplify your answer.)
9514 1404 393
Answer:
22 cm
Step-by-step explanation:
The lateral area is the product of the perimeter and the height. The perimeter is the sum of side lengths.
P = a+b+c = (2 +6 +7) cm = 15 cm
LA = Ph
330 cm^2 = (15 cm)h . . . fill in the known values
h = (330 cm^2)/(15 cm) = 22 cm
The height of the prism is 22 cm.
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answer:
Vertical/ x = 25.
Step-by-step explanation:
Vertical angles are self-explanatory; vertical angles are angles that are vertical from each other.
Vertical angles are also congruent (equal), meaning that both angles equal 75°.
4x - 25 = 75.
To solve this expression, we must first add 25 to 75. This is because there is a subtraction sign in front of 25, so we must do the opposite.
25 + 75 = 100
Lastly, divide 100 from 4.
4x = 100
100 / 4 = 25
x = 25
Pls help me I’m so stuck
Answer:
1/9
Step-by-step explanation:
We know that the variable multiplied is just the reciprical which is 1/9
By the way, can you follow me on Brainly?
Thanks!
Brenda is trying to save money. She learned that her bank would pay her 5% on her money in her savings account if she had at least $1,000 in it. Brenda had $2,345 in her savings account at the end of the year. How much interest did Brenda get from her bank.
A) $117.25
B) $1,172.59
C) $1.72
D) $17.25
Answer:
117.25
Step-by-step explanation:
It's Friday afternoon and six fraternity brothers at UNC havejust attended their last class of the semester. To unwind beforethe final exam Monday morning, they decide to spend the weekend atthe beach. After a weekend of immature, irresponsible behavior,they oversleep Monday morning and miss the final exam. Later thatday they go to their professor (who received her Ph.D. from NCState) and explain that they went to the beach and were on the wayback for the final exam but their car (a BMW of course) had a flattire. The professor says that they can come back the next morningand she will give them a make-up final exam consisting of oneshort-answer question! The students are ecstatic and high-five eachother all the way back to the frat house. The next morning theprofessor puts each student in a different room and hands themtheir one-question test. The question: Whichtire?
Aside: Clickhere for interesting related site.
What is the probability that all 6 students will say that thesame tire was flat? (Use 5 decimal places.)Hint: the answer is NOT(1/4)^6.
Please help, hard question
Answer:
6, 24, 96, 384
Step-by-step explanation:
start with 6 and multiply each successive term by 4
I NEED HELP PLEASE RIGHT NOW
Answer:
Average is 2 hours
9x+10y =1 9x-6y=-15 solve using elimination
Answer:
I. x = -1
II. y = 1
Step-by-step explanation:
Given the following algebraic expressions;
9x + 10y = 1 .......equation 1
9x - 6y = -15 ......equation 2
To solve using the elimination method, we would subtract eqn 1 from eqn 2.
(9x - 9x) + (-6y - 10y) = (-15 - 1)
0x - 16y = -16
-16y = -16
16y = 16
y = 16/16
y = 1
Next, we would find the value of x;
From eqn 1;
9x + 10y = 1
Substituting the value of y, we have;
9x + 10(1) = 1
9x + 10 = 1
9x = 1 - 10
9x = -9
x = -9/9
x = -1
Which table of values goes with this equation?
y = x/5
In triangle IJK, the measure of angle K is 90, IK= 39, JI = 89 and KJ= 80. What ratio represents the sine of angle I?
Answer:
80 / 89
Step-by-step explanation:
Please see attached photo for explanation.
In the attached photo, the following data were obtained:
<I = θ
Hypothenus = 89
Opposite = 80
Sine <I =?
Sine ratio of <I can be obtained as follow:
Sine θ = Opposite / Hypothenus
Sine <I = 80 / 89
Thus, the ratio of sine <I is 80 / 89
A baker has determined that four every
4 pounds of flour, she can make 6
loaves of bread.
Is the following relation a function?
Answer:
No this is not a function since 2 of the domain values have the same range.
Step-by-step explanation:
Well in simpler terms, if one or more range values (right side) have more then 1 arrow pointing to them, its automatically not a function. If each one has one arrow pointing towards them, its a function.
A circle has a radius of 4 cm and an arc of length 6 cm. What is the measure of the angle at the center?
In the late 2000's sales of SUVs decreased due to higher gas prices and improved alternative vehicles. A car dealer is interested whether it takes more days to sell SUV's vs. small cars. He gathers data from a sample of the most recent couple of months of sales and calculates that the he sold 18 SUV's with an average number of days to sale of 95 and a standard deviation of 32 days. For small cars, he sold 38 of them in an average of 48 days with a standard deviation of 24 days. The dealer wants to estimate how much longer it takes to sell an SUV vs. a small car by constructing a 95% confidence interval. 1. The facts of this problem are:
Answer:
1. The facts are;
[tex]\overline x _1[/tex] = 95 days
s₁ = 32 days
n₁ = 18 SUV's
[tex]\overline x _2[/tex] = 48 days
n₂ = 38 small cars
s₂ = 24 days
The confidence level = 95%
The confidence interval is (29.55, 64.45)
Step-by-step explanation:
The facts of the problem are;
The number of SUV's he sold, n₁ = 18 SUV's
The average number it took to sell the 18 SUV's, [tex]\overline x _1[/tex] = 95 days
The standard deviation of the time it took to sell the 18 SUV's, s₁ = 32 days
The number of small cars he sold, n₂ = 38 small cars
The average number it took to sell the 38 small cars, [tex]\overline x _2[/tex] = 48 days
The standard deviation of the time it took to sell the 38 small cars, s₂ = 24 days
The 95% confidence interval is given as follows;
Using a graphing calculator, we get, the critical-t, [tex]t_c[/tex] = 2.055529
[tex]\left (\bar{x}_1-\bar{x}_{2} \right ) \pm t_{c} \cdot\sqrt{\dfrac{s _{1}^{2}}{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}[/tex]
[tex]\left (95-48 \right ) \pm 2.055529 \times \sqrt{\dfrac{32^{2}}{18}+\dfrac{24^{2}}{38}}[/tex]
We get C.I. = 29.55259 < μ₁ - μ₂ < 64.44741
∴ C.I. ≈ 29.55 < μ₁ - μ₂ < 64.45
In which number does the digit 2 have a value that is ten times as great as the value of the digit 2 in the number 135,284?
Question 1
mp4
A dartboard has a radius of 9 inches, with a bullseye that has a radius of 2 inches. Find the probability of throwing a dart into
the bullseye. Round to the nearest hundredth, if necessary
check.mp4
in
Check
Probability =
Next
Pause test
Next
6:33 PM
Answer:
P=0.05
Step-by-step explanation:
You need to find the ratio of the areas, and they vary in function of the square of the radius, so you have P=2²/9²=4/81≈0.05
The building below is shown to scale; for every 1 inch of drawing, it is 5 feet in actual distance. The exterior surface area of the building is 250,000 square feet. What is the exterior surface area of the model?
Answer:
50,000 square inches
Step-by-step explanation:
1:5 ratio so 250,000/5=50,000
The graph below shows the number of tickets that a movie theater sold over a four week period.
If the theater continues selling tickets at the same rate, how many tickets do you predict they will sell during the 6th week?
A. 520 tickets
B. 590 tickets
C. 660 tickets
D. 730 tickets
Answer:
Actually, the correct answer is B: 590.
Step-by-step explanation:
I got right on the test. That's your proof there!
A scale drawing of a house uses a scale of 0.5 inches = 2 feet what is the length in inches of a line on the scale drawing that represents an actual length of 5 feet.
Answer:
We can use ratios for solve this problem
Cross multiply to get:
Lastly, divide both sides by 2 to isolate x
The line will be 1.25 inches
Hope this helps!
P.s. can I get Brainliest?
A population of 384 prairie dogs live in an area of 16 km2. What is the the population density?
Question 13 options:
368 prairie dogs/km2
400 prairie dogs/km2
4 prairie dogs/km2
24 prairie dogs/km2
6184 prairie dogs/km2
Answer:
[tex]24[/tex] prairie dogs per square kilometer
Step-by-step explanation:
To find the population density, simply divide the population by the area they live in. In this case, the population is [tex]384[/tex] prairie dogs and they live in an area of [tex]16[/tex] km². Therefore, the population density is [tex]\frac{384}{16} = \bold2\bold4[/tex] prairie dogs per square kilometer. Hope this helps!
The population of largemouth bass in a pond is decreasing at the rate of 10% per year. If the population of largemouth bass is 5,000 this year, what will the population be in 16 years?
Answer:
Population after 16 year = 927 people (Approx.)
Step-by-step explanation:
Given:
Decrease rate = 10% per year
Current population = 5,000
Find:
Population after 16 year
Computation:
A = P[1-r]ⁿ
A = 5,000[1-0.1]¹⁶
A = 5,000[0.9]¹⁶
A = 5,000[0.1853]
A = 926.51
Population after 16 year = 927 people (Approx.)
ms.vellejo has these cans of soup in her cabinet 1 can of tomato soup 4 cans of chicken soup 3 cans of cheese soup 2 cans of beef soup ms.velljo will randomly choose one can of soup what is the probililty that she will choose a can of beef or chicken soup
Answer:
There is a 40% chance that she will choose a can of beef soup, a 20% chance that she will choose a can of chicken soup, and a combined 60% chance that she will choose a can of beef or chicken soup.
Step-by-step explanation:
Since Ms. Vellejo has 1 can of tomato soup, 4 cans of chicken soup, 3 cans of cheese soup and 2 cans of beef soup in her cabinet, and she will randomly choose one can of soup, to determine what is the probililty that she will choose a can of beef or chicken soup, the following calculation must be performed:
1 + 4 + 3 + 2 = 10
Beef soup = 2 cans = 2/10 = 0.2 = 20%
Chicken soup = 4 cans = 4/10 = 0.4 = 40%
20 + 40 = 60
Thus, there is a 40% chance that she will choose a can of beef soup, a 20% chance that she will choose a can of chicken soup, and a combined 60% chance that she will choose a can of beef or chicken soup.
If you invest 3,500 in a savings account that pays 4% simple interest how much will the new balance be after including interest?
Answer:
New balance = 3640
Step-by-step explanation:
Given the following data;
Interest rate = 4% = 4/100 = 0.04
Principal = 3500
To find the new balance;
First of all, we would find the amount at the interest rate;
New amount = interest rate * principal
New amount = 0.04 * 3500
New amount = 140
Now, to find the new balance;
New balance = principal + new amount
New balance = 3500 + 140
New balance = 3640
Write the equation of a line in Slope Intercept Form that includes the point (-6, -8)
and has a slope of 1
Answer:
y = x -2
Step-by-step explanation:
Slope = 1
(-6 , -8)
y - y₁ = m(x - x₁)
y - [-8] = 1(x - [-6] )
y + 8 = x + 6
y = x + 6 - 8
y = x - 2
Write a question that represents the following equation.
5 · n = 35
Answer:
Hey, dude what grade are you in and I use ignitia
Step-by-step explanation:
Raina received a $90 gift card for a coffee store. She used it in buying some coffee that's cost $7.38 per pound. After buying the coffee, she had $53.10 left on her card. How many pounds of coffee did she buy?
Answer:
5 lbs
Step-by-step explanation:
90 - 53.10 = 36.90
She spent $36.90 on coffee. Since it cost $7.38 per pound, we can divide the total cost by 7.38 to figure out how many pounds she bought:
36.90 / 7.38 = 5
Raina bought 5 pounds of coffee.
John will rent a car for the weekend. He can choose one of two plans. The first plan has an Initial fee of $51 and costs an additional $0.12 per mile driven. The second plan has an initial fee of $46 and costs an additional $0.14 per mile driven. For what amount of driving do the two plans cost the same? miles What is the cost when the two plans cost the same?
Answer:
The first plan has an initial fee.
The first plan has an initial fee of $51 and costs an idditional $0.11 per mile driven.
Step-by-step explanation: