Answer: 13
25 3/2 = 26.5
26.5 is basically 26 1/2
26 1/2 = 13
find the missing data item given the following values
25, 28, 21, x, 32
For what values of m does the graph of y=3x^2+7x+m have two x-intercepts
Answer:
For all [tex]\frac{49}{12}>m[/tex], the graph of given equation have two x-intercepts if the discriminant is positive.
Step-by-step explanation:
A quadratic equation [tex]y=ax^2+bx+c[/tex] has
1. No x-intercept if [tex](b^2-4ac)<0[/tex].
2.One x-intercept if [tex](b^2-4ac)=0[/tex].
3. Two x-intercept if [tex](b^2-4ac)>0[/tex].
The given equation is
[tex]y=3x^2+7x+m[/tex]
It is a quadratic equation. Here, a=3, b=7 and x=m. The graph of given equation have two x-intercepts if the discriminant is positive.
[tex](b^2-4ac)>0[/tex]
Put a=3, b=7 and x=m in the above inequality.
[tex]7^2-4(3)(m)>0[/tex]
[tex]49-12m>0[/tex]
Add 12m on both the sides.
[tex]49>12m[/tex]
Divide both sides by 12.
[tex]\frac{49}{12}>m[/tex]
For all [tex]\frac{49}{12}>m[/tex], the graph of given equation have two x-intercepts if the discriminant is positive.
What is the element a^23 in matrix A?
A=8 -4 -3
3 -9 -5
-8 8 8
Answer:
1. (5,0)
2. 20 of type A;20 of type B
3. no solution
4. -5
5.D
11 -12 7
5 12 -7
6. (-6,8)
100% right i gotchu bbs <3
The element [tex]a_{23[/tex] in matrix A is -5. Therefore, option A is the correct answer.
We need to find the element [tex]a_{23[/tex] in matrix A.
What is the matrix?In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
From the given matrix, the element in the second row and third column is -5.
The element [tex]a_{23[/tex] in matrix A is -5. Therefore, option A is the correct answer.
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a toy manufacturer estimates that 6% of its products are defective. if it produces 550 toys in one day, how many will be defective?
Answer:
33
Step-by-step explanation:
We need to find 6% of 550.
We can calculate with a direct rule of 3. If the 100% is 550, how much is the 6%?
[tex]100 -\!\!\!-\!\!\!- 550\\ 6 -\!\!\!-\!\!\!- x[/tex]
We use the formula of the direct rule of 3:
[tex]x = \frac {6 * 550}{100} \\ \\ x = \frac {3300}{100}\\ \\ x = 33[/tex]
33 toys will be defective.
If a toy manufacturer produces 550 toys in one day, then the number of toys that would be defective is 33 toys.
Let the defective toys be D.Let the total toys be T.Given the following data:
Total number of toys produced in a day = 550 toys.To find the number of toys that would be defective from a production:
[tex]D = \frac{6}{100}[/tex] × [tex]T[/tex]
Substituting the given parameters into the formula, we have;
[tex]D = \frac{6}{100}[/tex] × [tex]550[/tex]
[tex]D = 0.06(550)[/tex]
Defective toys, D = 33 toys.
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A car decreases in value 10% a year . If it was brought for £5000 , how much will it be worth after 2 years ?
5000 x (1-0.10)^2
5000 x 0.90^2
5000 * 0.81
it is valued at 4,050 after 2 years
Final answer:
After applying a 10% yearly depreciation to the initial value of £5000, the car's value after 2 years will be £3150.
Explanation:
When a car decreases in value by 10% a year, its value after 2 years can be calculated using exponential decay. To compute the value of the car after two years, we start with the initial value of £5000 and apply a 10% decrease for each year. The formula for the value of the car after a certain number of years is given by:
Future Value = Present Value × (1 - rate of depreciation)^number of years
For the first year:
Future Value = £5000 × (1 - 0.10)¹
Future Value = £5000 × 0.90
Future Value = £4500
For the second year, we use the value at the end of the first year:
Future Value = £4500 × (1 - 0.10)¹
Future Value = £4500 × 0.90
Future Value = £3150
Therefore, after 2 years, the car will be worth £3150.
Why does a low range indicate precision in a measurement tool?
Please help!! Explain how you got the answer!
multiply 3.5 x 3 = 10.5
add -5 +-10 = -15
so you have 10.5 x 10^15
then you need to move the decimal point 1 place to the left to get 1.05
since you move the decimal point 1 place to the left you add 1 to the -15 to get -14
so answer = 1.05 x 10^-14
ZP bisects ∠OZQ so that ∠OZP = 8x – 9 and ∠PZQ = 5x + 18. Find the value of x, and the measure of each angle. You must show all work in order to receive credit!
Point P (3, -4) and its image have symmetry with respect to the origin. Which of the following points represents the image of point P?
answer choices (-3, 4) (3, 4) (4, 3)
Answer: -3,4
Step-by-step explanation:
Because it wants you to rotate th epoint 180 degrees arond the orgin of the coordinate plane which then gives you the -3,4 option as your answer.
A jar contains 21 pennies (worth $0.01 each), 15 nickels (worth $0.05 each), 18 dimes (worth $0.10 each), and 32 quarters (worth $0.25). if a coin is drawn at random, what is the expected value of the draw?
Dewayne is comparing two checking accounts. One has a monthly fee of $7 and a per-check fee of $0.30, and the other has a monthly fee of $4 and a per-check fee of $0.40. What is the minimum number of checks Dewayne needs to write for the first bank to be a better option?
7 +0.30x = 4 +0.40x
subtract 4 from each side
3+0.30x = 0.40x
subtract 0.3x from each side
3 = 0.10x
divide both sides by 0.10
3 /0.10 = 30
30 checks would make both accounts equal
so he would need to write 31 checks for the first one to be better.
Answer:30
Step-by-step explanation:
it’s right
The length of a rectangle is 3 meters less than 3 times the width. the perimeter is 42 meters. find the width.
The width of the rectangle will be 6 meters.
What is mean by Perimeter ?
The perimeter of any quadrilateral is the sum of all sides of a
quadrilateral .
Given that;
The length of a rectangle is 3 meters less than 3 times the width.
The perimeter of a rectangle = 42 meters.
Now,
Let the width of a rectangle = x meter
Then, By condition The length of a rectangle is 3 meters less than 3 times the width.
We get;
The length of the rectangle = ( 3x - 3 ) meters
Since,
The perimeter of a rectangle = 2 ( Length + Width )
Here, The perimeter of a rectangle = 42 meters.
Now, After substitute all the values we get;
The perimeter of a rectangle = 2 ( Length + Width )
The perimeter of a rectangle = 2 ( 3x - 3 + x)
42 = 2 ( 4x - 3)
42 = 2 (4x - 3)
Solve for x as,
Divide by 2;
21 = 4x - 3
Add 3 both side;
21 + 3 = 4x - 3 + 3
24 = 4x
Divide by 4, we get;
x = 24/4
x = 6
Thus, The width of a rectangle = 6 meters.
Therefore, The width of the rectangle will be 6 meters.
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i have zero idea.. help please.
A ski jacket costing $160 is $20 less than twice the cost of the matching ski pants. Find the total cost of the ski jacket and matching ski pants.
The total cost of the ski jacket and matching ski pants is $250.
Given that, a ski jacket costing $160 is $20 less than twice the cost of the matching ski pants.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the cost of matching ski pants be x.
Now, 2x-20=160
⇒ 2x=180
⇒ x=90
So, the cost of the matching ski pants is $90.
Total cost = 160+90 = $250
Therefore, the total cost of the ski jacket and matching ski pants is $250.
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Based on this map, about how long is the niger river? 500 miles 1,500 miles 2,600 miles 3,900 miles
The Nile River is 2,600 miles long. If you are answering the FLVS question then it is also 2,600 miles.
find the pattern of 1, 5, 30, 210, 2680
The sequence provided (1, 5, 30, 210, 2680) does not match typical simple arithmetic or geometric patterns, suggesting it may involve a more complex rule like factorial growth, though a specific pattern cannot be determined with the provided information.
Explanation:The question is about finding the pattern in the sequence 1, 5, 30, 210, 2680. To solve this, observe how each term relates to its predecessor. The sequence does not directly follow an arithmetic or geometric pattern; instead, it seems to involve a factorial or multiplicative pattern with increasing multipliers.
However, the information provided does not directly match the given sequence, suggesting that there might have been a typo in the sequence or additional rules that were not stated. Generally, patterns can be identified through arithmetic (addition/subtraction), geometric (multiplication/division), or more complex operations (such as factorial or combinations), but without the correct sequence or a clear rule, it's challenging to provide a decisive pattern.
For sequences that escalate rapidly like this one, factorial operations or exponential growth with additional manipulations (addition, subtraction) are common, but the specific pattern here is unclear without further clarification or the correct sequence.
find the rate in the following problem Round the answer to the nearest hundredth of a percent. What percent of 85 is 10?
To find the percent of 85 that is 10, divide 10 by 85 and multiply by 100. The answer is 11.76%.
Explanation:To find the percent of 85 that is 10, we divide 10 by 85 and multiply by 100.
10 / 85 = 0.1176
0.1176 * 100 = 11.76%
Roundin the answer to the nearest hundredth of a percent, we get 11.76%.
what is the least common denominator for the fractions 9/14and 2\21
Find a formula for the number of patrons as a function of profit.
Constructed Response 1: A student thinks that the sum of 4.3 and 8.4 is 12.7 because 4 + 8 = 12 and 3 + 4 = 7. The student then adds 3.6 and 2.7 and gets 5.13 because 3 + 2 = 5 and 6 + 7 = 13. Identify the mistake in the student’s procedure and explain why this procedure won’t always work. *
The baby weighed 7.25 pounds at birth.At the end of 8 months the baby weighed 2 1/2 times its birth weight .How much does the baby weigh at 8 months
What is the product of -9x(5-2x)
A table is 3 feet and 2 inches wide and a chair is 25 inches wide how much wider is the table then chair in inches
Answer:
junko enishima
Step-by-step explanation:
Simplify −0.5i−i
Enter your answer in the box.
Answer: -1.5i
Step-by-step explanation: This was correct
Using the fractions 2/3 and 3/4 describe how to give two fractions common denominators
A garage charged $248 in parts and $30 per hour in labor for work on a car. How many did the garage spend working on the car if the total bill was $572? Use a two step equation to model the scenario and then solve the question
Information for the park trails is displayed at the entrance to the park office.
How long is Trail B?
Show your work and round your answer to the nearest foot.
What work do i need to show?
If mRV = mVU, what is mVU?
Answer:
Answer: C
Step-by-step explanation:
Edge 2021
Find two consecutive even integers such that the smaller added to four times the larger gives a sum of 48.
The consecutive even integers such that the smaller added to four times the larger gives a sum of 48 are; 8 and 10
What are the consecutive numbers?The consecutive numbers are those numbers that follow each other continuously in the order from smallest to largest numbers.
WE have to determine the two consecutive even integers such that the smaller added to four times the larger gives a sum of 48.
Let the two consecutive even integers are; x and (x+2)
Therefore,
X+4(x+2) = 48
X+4x+8=48
5x=40
X=8
Hence The consecutive even integers are; 8 and 10
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