Answer:
A
Step-by-step explanation:
A
if 2x – 1 is a factor of 16x4
24x3 + 2x + f, find f.
Answer:
f = -5
Step-by-step explanation:
If 2x – 1 is a factor of 16x4 + 24x3 + 2x + f, find f.
If 2x - 1 = 16x⁴ + 24x³ + 2x + f, find f.
2x - 1 = 0
2x = 1
x = 1/2
Hence
f(1/2) = 16(1/2)⁴ + 24(1/2)³ + 2(1/2) + f
= 16(1/16) + 24(1/8) + 1 + f
= 1 + 3 + 1 + f
= 5+ f
f = -5
please help.................. really need to get this right
Leah's family took a road trip to Mount Rushmore. Leah fell asleep 44% of the way through the trip. If Leah fell asleep after they had travelled 132 miles, what was the total length of the trip?
The total length of the trip 190.08 miles
How you do it is to add the 44% of 132 to 132
= (132 + (132×44%))
What is the length?Length is a measure of distance. In the International System of Quantities, length is a quantity with dimension distance. In most systems of measurement a base unit for length is chosen, from which all other units are derived.
First, you have to find out how much 44% is. Change it into decimal form (0.44) and then multiply the two together.
132 × 0.44 is 58.08 miles.
Then you add that to the rest of the trip, 132 miles.
= (132 + 58/08
=190.08
The total length of the trip was 190.08 miles.
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Which of these tables represents a function
W
a system can only be a function if there are no more than one value of y for each value of x. if a value of x is repeated twice or more in a table, it means it is not a function.
One angle of a right triangle measures 24°. What is the measure of the other acute angle?
Answer:
66 °
Step-by-step explanation:
Given:
One angle of a right triangle measures 24°.
To Find:
What is the measure of the other acute angle?
Solve:
Note:
Total angles in a triangle 180 degree
Right Triangle ⇒ 90 degree
Let "x" be the measure of the other acute angle
90° + 24° + x = 360°
114° + x = 180°
x = 66°
Kavinsky~
Explain how to use the distributive property to find an expression that is equivalent to 20 + 16
Answer:
What you need to do is to find a multiple of 20 and 16 in other words a number that can multiply into 20 and 16. You have 2 and you have 4. So now this is how it looks like.
Either:
4(5+4) Or
2(10+8)
Step-by-step explanation:
What is the measure of angle x?
Answer:
x = 55°Step-by-step explanation:
1st Δ = 35°
2nd Δ = 90° ...... ( right Δ triangle )
3rd Δ = let x
35° + 90° + x = 180°
125° + x = 180°
x = 180° - 125°
x = 55°
David is currently 3 times as old as his son. If David’s son’s current age is x years, how old will David be after 3 years?
Dave is 18 years old.
What is algebraic expression?A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11
Given
Let x be Dave’s age today. Then:
x=3(x+3)-3(x-3)
x=3x+9–3x+9
x=18
Dave is 18 years old.
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A box measures 18 inches wide by 9 inches deep. The height of the box is 1 1/2 feet. What is the volume of the box? Remember if ft is equivalent to 12 in.
Answer: 2,916 inches³
Step-by-step explanation:
The volume of a box is:
= Length * Width * Height
But all of these have to have the same units for it to work. This means that the height of the box will have to be converted to inches :
1 ft is 12 inches so:
= 1¹/₂ * 12
= 3/2 * 12
= 18 inches
Volume is therefore:
= 18 * 9 * 18
= 2,916 inches³
2. A bicycle wheel has a diameter of 26 inches. Isabelle rides the bike so that the wheel makes
two complete rotations per second. Which function models the height of a spot on the edge
of the wheel? Explain your thinking.
The answer is right here
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|
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v
Let and be given points along a certain line. There are exactly two other distinct points and on this line such that and . Let be the midpoint of . Calculate the ratio .
The required ratio WJ/WK is 3, which is determined by using the concept of dividing a line segment.
Let U and V be the two other distinct points on the line such that UJ/UK = 4 and VJ/VK = 7.
We have to find the ratio WJ/WK, where W is the midpoint of UV.
Let the distance between J and K be x. Then, we have:
UJ = 4/(4+1) * x = 4x/5UK = 1/(4+1) * x = x/5VJ = 7/(7+1) * x = 7x/8VK = 1/(7+1) * x = x/8Since W is the midpoint of UV, we have:
WJ = (UJ + VJ)/2 = (4x/5 + 7x/8)/2 = 39x/80
WK = (UK + VK)/2 = (x/5 + x/8)/2 = 13x/40
Therefore, the ratio WJ/WK is:
WJ/WK = (39x/80)/(13x/40)
= 3
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The complete question is as follows:
Let J and K be given points along a certain line. There are exactly two other distinct points U and V on this line such that UJ/UK=4 and VJ/VK=7. Let W be the midpoint of UV. Calculate the ratio WJ/WK.
For 11 days straight, Mike drove the same distance every day going to and coming from work. On the 12th day, he drove an extra 7 miles. If Mike drives 91 miles in total in those 12 days, write an expression to find the distance he travels each day going to and from work.
Answer:
A) The algebraic expression
= 12x + 7 = 91
B) He drives 7 miles per day
Step-by-step explanation:
For 11 days straight, Mike drove the same distance every day going to and coming from work.
Step 1
We are told : Mike drives 91 miles in total in those 12 days,
On the 12th day, he drove an extra 7 miles.
Hence:
91 miles - 7 extra miles
= 84 miles
Step 2
The number of miles he drives per day:
84 miles/12
= 7 miles per day
Step 3
The expression we can use to find the distance he travels each day going to and from work is written as:
Let the number of miles he travels be day = x
12x + 7 = 91 miles
12x + 7 = 91
12x = 91 - 7
12x = 84
x = 84/12
x = 7 miles per day
Find the value of x for which ABCD must be a parallelogram.
If your answer is not a whole number, write your answer in fractional form as a/b.
Answer:
\(x = \frac{5}{3}\)
Step-by-step explanation:
Parallelogram
It's a quadrilateral formed by two pairs of parallel sides. The opposite sides have equal lengths.
We are given a parallelogram with opposite sides of 3x+1 and 6x-4. They must be equal, thus:
6x - 4 = 3x + 1
Subtracting 3x:
3x - 4 = 1
Adding 4:
3x = 5
Dividing by 3:
\(\mathbf{x = \frac{5}{3}}\)
simplify the trigonometric expression. csc2(x) − 1 csc2(x)
The simplified form of the trigonometric expression csc2(x) − 1 csc2(x) is: cos2(x)/sin2(x)
The simplification of the trigonometric expression csc2(x) − 1 csc2(x) requires a bit of algebraic manipulation.
We can start by using the identity csc2(x) = 1/sin2(x) to rewrite the expression as:
1/sin2(x) − 1 / (sin2(x) * csc2(x))
Next, we can simplify the denominator of the second term using the identity csc2(x) = 1/sin2(x), giving us:
1/sin2(x) − 1 / (sin2(x) * (1/sin2(x)))
Simplifying further, we get:
1/sin2(x) − 1/sin2(x)
Finally, we can combine the two terms with a common denominator to get:
(1 - sin2(x))/sin2(x)
This expression can be further simplified using the identity sin2(x) + cos2(x) = 1, which gives us:
cos2(x)/sin2(x)
Therefore, the simplified form of the trigonometric expression csc2(x) − 1 csc2(x) is: cos2(x)/sin2(x)
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You visit a pizzeria that lets you build your own pizza. They have 2 types of dough (white or wheat), 3types of cheese, and 6 types of toppings.If each pizza consists of a type of dough, one cheese, and one topping, how many different pizzascan you build?a.) 33OOb.) 11c) 72d.) 36
Given:
The types of dough=2.
The types of cheese = 3.
The types of toppings = 6.
Required:
We need to find the number of different pizzas if each pizza consists of a type of dough, one cheese, and one topping.
Explanation:
The number of different pizzas = multiple
( types of dough, cheese, and toppings).
\(\text{ The number of different pizzas=2}\times3\times6\)\(\text{ The number of different pizzas=36}\)Final answer:
The number of different pizzas =36.
Which expression is equivalent to (16z - 10) + (2x + 19)? A- 23x B- 18x + 29 C- 14x + 9 D 13x
nswer
Option C is correct
14x + 9
Explanation
e need to simplify the sexpression
16x - 10) + (-2x + 19)
= 16x - 10 - 2x + 19
ollect like terms by bringing terms with x together
= 16x - 2x - 10 + 19
= 14x + 9
Hope this Helps!!!
What is one of the best ways to stop procrastinating and study More
Answer:
use the two minute rule. you tell yourself you will study for two minutes or ten minutes and then if you're in a flow you keep going. hope this helps :)
What is the probability of getting at least one head when tossing two coins? { HH, TH, HT, TT }
Answer:
3/4
Step-by-step explanation:
the chance of getting a head is 1/2 or a tail is 1/2 in the first turn.
and the chance of getting a head is 1/2 or a tail is also 1/2 in the 2nd turn as well.
the possibilities are HH, TH, HT, TT
only three of these possibilities have at least one head (HH, TH, HT)
the possibility of scoring double heads is 1/4 (1/2 * 1/2)
the possibility of scoring a tail and head is 1/4 ( 1/2 * 1/2)
the possibility of scoring a head and then tail is also 1/4 (1/2 * 1/2)
adding all the possibilities (1/4 + 1/4 + 1/4) is 3/4
davias can read 4/5 of a page in one minute how many pages can he read 4 1/2 minutes
round each number to the nearest 10th, place them in order from least to greatest
there are 8 runners in the finale of the world olympics series 100-meter sprint. assuming that the order of finishing is important and that ties between the sprinters are impossible, how many different arrangements of 1st, 2nd, and 3rd place finishers could there be?
The number of ways to order the first, second and third place finishers is simply the number of permutations of 8 runners taken 3 at a time. This can be calculated using the formula for permutations
The formula for permutations, P(n,r), gives the number of ways to choose r items from a set of n items, where order matters. This formula is calculated as:
P(n,r) = n! / (n-r)!
where n! represents the factorial of n (i.e. n multiplied by n-1 multiplied by n-2, etc. down to 1).
In this problem, n = 8 and r = 3, so the number of permutations is:
P(8,3) = 8! / (8-3)! = 8! / 5! = 40320 / 120 = 336
So there are 336 different arrangements of first, second, and third place finishers in the 100-meter sprint.
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Pls help ASAP it’s confusing and I’m short on time
Answer:
6(3x + 1/2)
9(2x + 1/3)
2(9x + 5) - 7
Step-by-step explanation:
6(3x + 1/2)= 18x + 3 ✅
9(2x + 1/3)= 18x + 3 ✅
4(4x + 1) -1= 16x + 3
2(9x + 5) - 7= 18x + 3 ✅
3(6x + 2) + 3= 18x + 9
A family has two cars. The first car has a fuel efficiency of 40 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas. During
one particular week, the two cars went a combined total of 1625 miles, for a total gas consumption of 50 gallons. How many gallons were consumed by each of
the two cars that week?
Answer:
first car = 35, second car= 15
Step-by-step explanation:
40x+15y=1625
x+y=50
multiplying the 2nd by -15 and add the 2 equations, we get x= 35 and by substituting on second equation we get y= 15
Researchers are concerned about the impact of students working while they are enrolled in classes, and they’d like to know if students work too much and therefore are spending less time on their classes than they should be. First, the researchers need to find out, on average, how many hours a week students are working. They know from previous studies that the standard deviation of this variable is about 5 hours.A survey of 200 students provides a sample mean of 7.10 hours worked. What is a 95% confidence interval based on this sample?
Answer:
The 95% confidence interval based on this sample is =
[6.41, 7.79]
Step-by-step explanation:
The formula for Confidence Interval =
Mean ± z × standard deviation/√n
Sample mean = 7.1 hours
Standard deviation = 5 hours
n = 200 students
z = 95% confidence interval z score
= 1.96
C.I = 7.1 ± 1.96 × 5/√200
C.I = 7.1 ± 0.693
Hence, Confidence Interval
= 7.1 - 0.693
= 6.407
Approximately = 6.41
= 7.1 + 0.693
= 7.793
Approximately = 7.79
Therefore, the 95% confidence interval based on this sample is
[6.41, 7.79]
√4x^2/3y
Please show work if you can
Answer:
√16x/3y
Step-by-step explanation:
√4x^2 = √16x /3y = can't be simplified further
What is meant by the included angle in SAS congruence theorem?
Answer:
The included angle means the angle between two sides. In other words it is the angle 'included between' two sides. In which pair of triangles pictured below could you use the Side Angle Side postulate (SAS) to prove the triangles are congruent? It is the only pair in which the angle is an included angle.
Step-by-step explanation:
In Buenos Aires, the average daily high temperature in a year is reported to be 18.2∘C. Catalina believes that last year was warmer than usual. In order to test her belief, she takes a simple random sample of 40 days from last year, and records the daily high temperature on each chosen day. She finds that the sample mean temperature is 19.1∘ C and the sample standard deviation is 7.9∘C.
6. Are the 3 conditions met for hypothesis testing? Answer yes or no and then justify.
7. What are the null hypothesis and alternative hypothesis?
8. What is the test statistic?
9. What is the p-value?
The three conditions for hypothesis testing are approximately met, and the null hypothesis is that the population mean daily high temperature in Buenos Aires is 18.2∘C.
The three conditions for hypothesis testing are approximately met based on the information given.
Null hypothesis (H0) is that the population mean daily high temperature in Buenos Aires is 18.2∘C. Alternative hypothesis (Ha) is that the population mean daily high temperature in Buenos Aires is greater.
The test statistic is calculated as (sample mean - population mean) / (sample standard deviation / sqrt(sample size)).
The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed test statistic, assuming the null hypothesis is true. It can be calculated using a t-distribution with degrees of freedom equal to the sample size minus one.
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Help please!
Arnav is selling boxes of cookies.
He sells each box for $3.75.
His goal is to make more than $30.
How many boxes of cookies could he sell to reach his
goal?
Arnav needs to sell more than 8 boxes of cookies to reach his goal of making more than $30. Since the number of boxes must be a whole number, Arnav would need to sell at least 9 boxes of cookies to achieve his goal.
To determine how many boxes of cookies Arnav needs to sell to reach his goal of making more than $30, we can set up an inequality based on the selling price of each box.
Let's represent the number of boxes he sells as "x". Since each box is sold for $3.75, the total amount of money he will earn from selling "x" boxes is 3.75x.
To reach his goal of making more than $30, we can write the following inequality:
3.75x > 30
To solve for "x", we divide both sides of the inequality by 3.75:
x > 30 / 3.75
Simplifying the right side of the inequality, we get:
x > 8
To fulfil his objective of earning more than $30, Arnav must sell more than 8 boxes of cookies. Arnav would need to sell at least 9 boxes of cookies in order to reach his objective because the number of boxes must be a whole number.
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Pls help, mathmatics 50 points
The first model of inequality satisfy the problem i.e 2w + 2* 4w ≤ 106
What is a rectangle and its Properties ?A rectangle is a four-sided, two-dimensional flat shape. The opposite sides of a rectangle's four sides are parallel and equal to one another. It belongs to a category of quadrilaterals where each of the four angles is a straight angle or measures 90 degrees. A particular kind of parallelogram that has all of its angles equal is the rectangle. A square is a rectangle with four equally sized sides. Let's now explore the characteristics of the rectangle in this essay.
Rectangles' essential characteristics are as follows:
A rectangle is a parallelogram.
Each inner angle is equal to 90 degrees and the opposite sides are parallel and equal to one another.360 degrees is the total of all interior angles.The diagonals cut each other in half, and both of them are equal in length.The perimeter of a rectangle with side lengths a and b is equal to 2a+2b units.The Perimeter of the rectangle is 2a + 2b where a and b are the two sides
Now , if w is the width of the rectangle then, the length is 4w given in problem.
Perimeter,
2w + 2* 4w
As it is given in the problem
2w + 2* 4w ≤ 106
The first model of inequality satisfy the problem.
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Please help me out on this.
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Ingredient 8 servings
Dried split peas: 2 and 1/4 c.
Water: 2 qt
Chopped onion: 3/4 c.
Chopped celery: 1 c.
Ham shank: 2 lb.
The basic recipe for split pea soup serves 8 people. Find the amount of each ingredient needed to serve 32 people.
Answer:
Dried split peas: 9 cups
Water: 8 quarts
Chopped onion: 3 cups
Chopped celery: 4 cups
Ham shank: 8 pounds
Step-by-step explanation:
Since the basic recipe serves 8 people and you need to serve 32 people, you just multiply each ingredient by 4. (32÷8=4)
Dried split peas: 2 1/4 c. x 4 = 9 cups
Water: 2 qt x 4 = 8 quarts
Chopped onion: 3/4 c. x 4 = 3 cups
Chopped celery: 1 c. x 4 = 4 cups
Ham shank: 2 lb. x 4 = 8 pounds