Answer:
[tex]B=3[/tex]
Step-by-step explanation:
We have been given an expression [tex]12x^4+30x^3+4x^2+10x[/tex].
Let us factor our given expression to answer the given problem.
Factor out [tex]2x[/tex] from all terms:
[tex]2x(6x^3+15x^2+2x+5)[/tex]
Now, we will make two groups of [tex]6x^3+15x^2+2x+5[/tex] as shown below:
[tex]2x((6x^3+15x^2)+(2x+5))[/tex]
[tex]2x((6x^3+15x^2)+(2x+5))[/tex]
Factor out [tex]3x^2[/tex] from 1st group:
[tex]2x((3x^2(2x+5))+(2x+5))[/tex]
[tex]2x(3x^2+1)(2x+5)[/tex]
Upon comparing [tex]2x(3x^2+1)(2x+5)[/tex] with [tex]Ax(Bx^2+1)(2x+5)[/tex], we can see that [tex]A=2[/tex] and [tex]B=3[/tex].
Therefore, the value of B is 3.
Evaluate the expression. If necessary, round to the nearest hundredth. log 4 64
In a wooded area, you randomly select 10 trees and find that 3 are tagged. You conclude that there is a 30% probability of randomly selecting a tagged tree.
A. Empirical
B. Theoretical
A. It's Empirical (APEX)
The stem and leaf plot below shows the number of points scored in each basketball game a team played during a season in how many games were more than 40 points scored?
|Stem | Leaf|
| 6 | 1 6 7|
| 5 |2 2 8|
| 4 |4 5 8 9|
| 3 |0 2 6 6 6|
| 2 | 0 8 |
A. 4
B. 6
C. 7
D. 10
Answer : D 10
The stem and leaf plot below shows the number of points scored in each basketball game a team played during a season
From the stem and leaf plot , We have 4 leaf for the stem 4
so the scores are 44, 45, 48, 49
Question says more than 40 points scored. so we consider stem 5 and 6 as well
61, 66, 67
5 2, 52, 58
So total 10 scores
There were 10 games in which the basketball team scored more than 40 points.
The stem and leaf plot provided shows the scores of a basketball team across different games. To find out in how many games more than 40 points were scored, we should look for leaves attached to stems of '4' or higher, since the stems represent the 'tens' place and the leaves represent the 'ones' place in a score.
In the stem '4', we have leaves '4', '5', '8', and '9', which correspond to the scores 44, 45, 48, and 49, respectively. Moving up to the stem '5', we have leaves '2', '2', and '8', which translate to the scores 52, 52, and 58. Finally, the stem '6' with leaves '1', '6', and '7' represents the scores 61, 66, and 67.
Adding all the games with scores over 40 points together, we get a total of 4 (from the '4' stem) + 3 (from the '5' stem) + 3 (from the '6' stem) = 10 games.
What are the roots of the quadratic equation X² + 4X + 4. How many roots are there.
Plz help
A cheetah runs at a speed of 50 miles for every hour. If the distance traveled, in miles, is d and time, in hours, is t, which equation shows the relationship between d and t?
A.t=50d
B.d=50 + t
C.d=50t
D.t=50 +d
janis and susan went to a clearance sale at a clothing store all blouses were selling for the same price and all skirts were selling for the same price janis bought 4 blouses and skirts in total of $68 what was the cost of each blouse?
If all 4 items were blouses, each blouse would cost $17. Without knowing how many skirts were bought, we can't definitively determine the exact price of each blouse.
Explanation:In order to find the cost of each blouse we need to follow the step-by-step solution. Imagine that all items Janis purchased were blouses. As we don't know the exact number of skirts she bought, assume she bought 4 blouses for $68, so the price of one blouse would be $68 divided by 4, which equals $17. However, if Janis also purchased skirts which are not necessarily the same price as blouses, the price of a blouse could actually be less than $17. Without further information on the number and price of skirts, we can't definitively say what the price of each blouse would be.
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HEEEEEELLLLLLPPPPPP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Heather is planning a dessert display. She needs 4 ounces of strawberries for each dessert.
Part A: Heather is not sure how many desserts she will make. Write an expression with a variable that represents the amount of strawberries Heather needs for the desserts. Identify what the variable represents.
Part B: If Heather has 24 ounces of strawberries, how many desserts can she make? Create an equation and show all work to solve it.
Answer:
4x=24
Step-by-step explanation:
To solve this system of equations by elimination, what operation could be used to eliminate the y-variable and find the value of x? 2x − 4y = 6 −3x + 3y = 12
To eliminate the y-variable in the given system of equations and find the value of x, you can multiply the first equation by 3 and the second equation by 4 to make the coefficients of y equal. Then, add the two equations together to eliminate the y-variable. Finally, solve for x.
Explanation:To eliminate the y-variable and find the value of x in the given system of equations, we can multiply the first equation by 3 and the second equation by 4 to make the coefficients of y in both equations equal. This will allow us to eliminate the y-variable when we subtract the two equations.
Multiplying the first equation by 3, we get: 6x - 12y = 18
Multiplying the second equation by 4, we get: -12x + 12y = 48
Now, we can add the two equations together, and the y-variable will cancel out: (6x - 12y) + (-12x + 12y) = 18 + 48
Simplifying, we have: -6x = 66
Dividing both sides by -6, we find: x = -11
Therefore, the value of x is -11.
Final answer:
To eliminate the y-variable and find the value of x in the system of equations, we can use the method of elimination. We can multiply the equations by coefficients to create opposite coefficients for the y-terms, which will cancel each other out when added together. The resulting equation can then be solved to find the value of x.
Explanation:
To eliminate the y-variable and find the value of x, we can use the method of elimination. In this case, we need to multiply the two equations by coefficients that will create opposite coefficients for the y-terms so that they will cancel each other out when added together. Let's multiply the first equation by 3 and the second equation by 4:
6x - 12y = 18
-12x + 12y = 48
Adding these two equations eliminates the y-variable:
-6x = 66
Solving for x, we divide both sides by -6:
x = -11
A: Jennifer surveyed her classmates recording gender, whether or not they had siblings, and if they liked school. Which two-way table displays the gender and if they have any siblings?
Please Help ASAP! Would be greatly appreciated.
calculate the area of a rectangle with an altitude of 30 cm and a diagonal of 50 cm
Given the diagonal and altitude of a rectangle, we can use the Pythagorean theorem to find the base. From there, multiply the base and altitude to find the area of the rectangle. In this case, the area is 1200 cm².
Explanation:The question is asking to calculate the area of a rectangle given the altitude (height) and the diagonal. We have two parameters, the altitude which is 30 cm and the diagonal which is 50 cm. From this, we can infer that the rectangle forms a right triangle with the altitude and the base being the two perpendicular sides and the diagonal being the hypotenuse. In this case, we can apply the Pythagorean theorem: base² = diagonal² - altitude².
Absolving, we find the value of the base of the rectangle: base = sqrt(50² - 30²) = 40 cm. The area of the rectangle can be calculated using the formula: Area = base x altitude = 40 cm * 30 cm = 1200 cm². Therefore, the area of the rectangle is 1200 cm².
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Annie is making square shaped flags to cheer on the swim team. The length of the side of the square is given by the expression 2x + 4. Which of the following gives an expression for the perimeter of the square? 4x + 8 2x + 16 8x +16 4x + 16 If x has a value of 5, what is the perimeter of the square? The perimeter is units. If x has a value of 3, what is the area of the square? Show all of your steps. Previous
The expression for the perimeter of Annie's square-shaped flag is 8x + 16 units. When x is 5, the perimeter of the flag is 56 units. If x is 3, the area of the flag is 100 square inches.
Annie is making a square-shaped flag with the side length given by the expression 2x + 4. To find the expression for the perimeter of the square, we recall that the perimeter of a square is the sum of all its sides. Since all sides of a square are equal, the perimeter is 4 times the length of one side. Therefore, the expression for the perimeter is 4(2x + 4), which simplifies to 8x + 16.
If x has a value of 5, we substitute 5 into our expression for the perimeter, giving us 8(5) + 16, which equals 40 + 16, so the perimeter is 56 units.
If x has a value of 3, the side of the square would be 2(3) + 4, which is 6 + 4, thus the side is 10 inches. The area of a square is the side length squared, so the area would be 10²or 100 square inches.
URGENT WORTH 20 POINTS
What is the best equation for the line of best fit for the data set?
yˆ=−3x+15
yˆ=−13x+15
yˆ=−3x+2
yˆ=−13x+2
PLEASE HELP! LAST QUESTIONS! I NEED AN 80% OR ABOVE TO PASS PLEASE HELP!
The circle graph below shows the percentages of Mrs. Frederick’s monthly budget for July. Her total monthly income is $2,800.
Pie Chart Below
In August’s monthly budget, Mrs. Frederick spent $126 more on clothes than she did in July. In August, what percentage of her monthly income of $2,800 was spent on clothes?
A 15%
B 12.5%
C 11.5%
D 10%
The Hernandez family has a monthly income of $4,500. The Thomas family has a monthly income of $3,200. The two circle graphs show the monthly budgets of two families.
pie charts below
Which statement is supported by the data in the two graphs?
A The Thomas family spends more dollars each month on transportation than the Hernandez family does.
B The Hernandez family spends more dollars each month on food than the Thomas family does.
C Both families spend more dollars on “other” than on transportation.
D Both families spend the same amount of dollars each month on housing.
Hassan deposited $7,500 into a bank account. At the end of 3 years, the account had earned $900 in simple interest. What rate of interest did the account earn per year?
A 2.78%
B 4%
C 8.33%
D 12%
Mr. Wilt prepares some chicken wings for a picnic. The bar graph below shows the number of different types of wings he prepares.
Bar graph below
Based on the bar graph, which of these statements is true?
A Mr. Wilt prepares 2 more plain wings than hot wings.
B Mr. Wilt prepares twice as many plain wings as hot wings.
C Mr. Wilt prepares 2 more barbecue wings than garlic wings.
D Mr. Wilt prepares twice as many barbecue wings as garlic wings.
Which of the following would be best represented by a circle graph?
A the heights of different types of trees
B the number of votes for each of 5 candidates for class president
C theamountofwaterthatfilledasinkafter1,2, 3, and 4 minutes
D the number of hours each student studied compared to their grades on a test
The ages of the members of a volunteer group are shown below. 13, 14, 14, 14, 15, 15, 15, 16, 16, 21, 23 Which box and whisker plot best represents these data?
Data below
A
B
C
D
Elaina ran 2.52 miles on Monday, 4.53 miles on Wednesday, and 3.45 miles on Saturday. What percent of the total miles did Elaina run on Monday?
To calculate the percent of total miles Elaina ran on Monday, add her running totals, find the fraction for Monday, and convert it to a percentage. Elaina ran 24% of her total weekly miles on Monday.
To determine what percent of the total miles Elaina ran on Monday, we first need to calculate the total number of miles she ran for the week. Then, we'll find out what fraction represents Monday's run in relation to the total, and finally convert that fraction to a percentage.
First, we sum up the miles:
Monday: 2.52 milesWednesday: 4.53 milesSaturday: 3.45 milesTotal miles = 2.52 + 4.53 + 3.45
Total miles = 10.50 miles
Next, we determine what fraction of the total distance was run on Monday:
Monday's fraction = Monday's miles / Total miles = 2.52 / 10.50
Finally, we convert this fraction to a percentage:
Monday's percentage = (Monday's fraction) x 100 = (2.52 / 10.50) x 100
Monday's percentage = 24% (rounded to the nearest whole percent)
Thus, Elaina ran 24 percent of her total weekly mileage on Monday.
joel made some muffins. he gave 1/4 of the muffins to a neighbor. he took 3/8 of the muffins to school. what fraction of the muffins is left
Solve the system of equations for 7x+2y=16 and -21x-6y=24
if you flip a coin ten times, how many diffrent sequences of heads and tails are possible
Answer:
I'm pretty sure its D
Step-by-step explanation: Brainliest???
Write and solve an inequality that represents the followinh: You want to read at least 12 books over the next 3 months. Let X represent the number of books read each month.
A. 3x>12;x>4
B.4x>12;x>3
C.3x>12;x<4
D.4x>12;x<3
(The signs are Greater than or equal to AND Less than or equal to signs but I couldn't put a line under them to signify that)
Can someone help me find the area
A number x is greater than o
Which two words from the passage have nearly OPPOSITE meanings?
A influential, philosopher
B talent, interests
C support, against
D rights, changes
What is the square roots of 144/256?
-9/16 and 9/16
-12/16 and 12/16
-12/18 and 12/18
-72/128 and 72/128
Find the value of x on this triangle
Jewelers building a pen for her baby turtles. She wants the pain to be 30 in long and 45 in wide. What piece of wood will Jill need to purchase to buildTurtle pin?
A spinner is spun 120 times and stops on blue 32 times. Calculate the experimental probability of the spinner stopping on blue.
Billy left home at 9:00 a.m. and rode his bike to the park at an average speed of 10mph. He arrived at the park at 9:30. How many miles from the park is Billy’s house.
The solution is:
Park is 5 miles from Billy's home.
What is speed?Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).
Speed = Distance/ Time.
Given:
Billy left home at 9 a.m. And rode his bicycle to the park at an average speed of 10 miles per hour here and got the park at 9:30 a.m.
Now, to find the distance from park to Billy,s home.
Time it took Billy to rode his bicycle from park to home is from 9.30 a.m to 9.30 p.m.
So, the time = (9.30 - 9.00) = 30 minutes
Speed = 10 miles per hour.
Now, to get the distance from park to Billy's home we put formula:
Speed = Distance/ Time.
so, we get,
Distance = 10 * 0.5
= 5
Therefore, park is 5 miles from Billy's home.
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I have a formula of 10 ounces of powder to 1 gallon of water, I need to know how much powder to use to a pint.
Cassandra wants to solve the Quetion 30 equals 2/5 Pete. What operation should she perform to isolate the variable
talia has 2 red,1 blue and 4 green balls of the same size in the bag talia pulls one ball out of the bag without looking what is the probability that talia will pull a red ball out of the bag
the answer is 2/7 there 2 red balls left and 7 balls all together so I am just saying the answer is 2/7 I just took the unit test
please give me the brainless thank you