Between which 2 consecutive integers is each number located on a number line?
__ < .99 < __
Answer:
x lies between 0 and 1 on the number line
Step-by-step explanation:
As we move to the left from 0.99, the first integer we reach is 0; as we move to the right from 0.99, the first integer we reach is 1.
Thus, 0 < x > 1: x lies between 0 and 1 on the number line.
Rewrite this equation
Answer:
11 + 4
Step-by-step explanation:
11 - (-4) = 11 + 4
Answer:
11 + 4
Step-by-step explanation:
11 - (-4)
11 + 4 (Since - - becomes +)
Ans 15
In circle N, m∠ONP=120∘ and the area of shaded sector = 3π. Find the length of
⌢OQP. Express your answer as a fraction times π.
The length of the arc OQP is 4π.
How to find the length of an arc?The length of the arc OQP can be found as follows:
Let's find the radius of the circle using the area of the shaded region as follows:
area of the shaded region = ∅ / 360 × πr²
3π = 120 / 360 × πr²
3π = 1 / 3 πr²
cross multiply
πr² = 9π
divide both sides by π
r² = 9
r = √9
r = 3
Therefore, let's find the length of an arc as follows:
length of arc OQP = ∅/ 360 × 2πr
length of arc OQP = 240 / 360 × 2 × π × 3
length of arc OQP = 24 / 36 × 6π
length of arc OQP = 24π / 6
length of arc OQP = 4π
learn more on area here: https://brainly.com/question/31752704
#SPJ1
48 is 214% of what number ?
What are the next 3 numbers in the pattern: 10, 11, 13, 16, 20 ... *
Answer:
25, 31, 38
Step-by-step explanation:
The first differences are increasing by 1 each time. The next differences will be 5, 6, 7, so the next numbers will be 25, 31, 38.
Answer:
The answer is 25 and 31. The pattern is adding the numbers 1, 2, 3 every time it goes up. For example. 10+ 1 = 11, 11 + 2 = 13, 13 + 3= 16, 16+ 4 = 20... and so on. Thus you would add 20 + 5 and get the answer 25. THEN you would add 25 + 6 and get 31.
Answers: 25, 31
Hope that helps
Someone help me with this I will make you brain
Answer:
Its the last one D
Step-by-step explanation:
pls mark brainliest
-6.75 Natural, whole, integer, rational, irracional, real,
-6.75 is a rational number.
Let us understand about natural, whole, integer, rational, and irrational numbers one by one.
Natural number:
Natural numbers are numbers that start from 1 and end at infinity. These are non-negative numbers.
Whole number:
Whole numbers are numbers that start from 0 and end at infinity.
We can also natural numbers including 0 is known as whole numbers.
These are non-negative numbers.
Integer:
An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.
Rational number:
A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p, and a non-zero denominator q.
Also, the decimal representation of the rational number is terminating and recurring.
Irrational number:
An irrational number is a number that can not be expressed as the quotient or fraction p/q of two integers, a numerator p, and a non-zero denominator q.
Also, the decimal representation of the irrational number is non-terminating and non-recurring.
The given number is -6.75.
The decimal form is terminating.
So, it is a rational number.
Thus, -6.75 is a rational number.
To learn more about rational number visit:
https://brainly.com/question/24398433
#SPJ9
A yogurt shop has a half-price mystery scoop special. The scoop could have vanilla or chocolate yogurt. It will also include either hot fudge, caramel, or marshmallow topping. Which list shows all the possible outcomes of the mystery scoop special?
a) S = {vanilla, chocolate, hot fudge, caramel, marshmallow}
b) S, = {(vanilla, hot fudge), (vanilla, caramel), (vanilla, marshmallow)}
c) S = {(vanilla, hot fudge), (vanilla, caramel), (vanilla, marshmallow), (chocolate, hot fudge), (chocolate, marshmallow)}
d) S = {(vanilla, hot fudge), (vanilla, caramel), (vanilla, marshmallow), (chocolate, hot fudge), (chocolate, caramel), (chocolate, marshmallow)}
Answer:
the answer would be D
Step-by-step explanation:
Answer:
d)s
Step-by-step explanation:
In the diagram below, l || m and QR perpendicular ST at R.
If m<1 = 63. find m<2
Answer:
m<2 = 27°
Step-by-step explanation:
m<1 = 63° (given)
m<QTR = m<1 (alternate interior angles are congruent)
m<QTR = 63° (Substitution)
m<QRT = 90° (right angle)
m<2 + m<QRT + m<QTR = 180°
m<2 + 90° + 63° = 180° (substitution)
m<2 + 153° = 180°
Subtract 153° from each side
m<2 = 180° - 153°
m<2 = 27°
You in-line skate from an elevation of 720 feet to an elevation of 750 feet in 30 minutes. Your friend in-line skates from an elevation of 600 feet to an elevation of 690 feet in one hour. Compare your rates of change in elevation.
Please help im stuck on this problem
Your friend's rate of change in elevation is 0.5 feet per minute more than your rate.
What is the formula for the rate of change in elevation?To find the height of the building (QR), we can use the angle of elevation formula tan θ=QR/PR.If you're looking for an exact number, use an altimeter, computer, or smartphone to calculate your current position above sea level. If you're trying to find a difference in elevation between 2 points of land, use tie a length of string between two posts and use a level to determine the difference.Let the area of the triangle be xy/2 and dA/dt becomes dA/dt= (xy' +yx')/2. To find y' use the Pythagorean theorem x2 +y2 =z2 where z is constant. So xx' +yy' =0 and y'=-xx'/y and substituting this into dA/dt gives dA/dt =(-x2x'/y +x'y)/2 = x'(y2 -x2)/2y.An angle of elevation is an angle with one horizontal arm, and one arm above horizontal. Usually an angle of elevation is less than or equal to 90°.Rate of change in elevation = elevation of distance/time
The elevation of 720 feet to an elevation of 750 feet in 30 minutes.
Your rate of change in elevation = 750 - 720 / 30
Your rate of change in elevation = 30 / 30
Your rate of change in elevation = 1 foot per minute
Your friend in-line skates from an elevation of 600 feet to an elevation of 690 feet in one hour.
Your friend's rate of change in elevation = 690 - 600 / 60
Your friend's rate of change in elevation = 90 / 60
Your friend's rate of change in elevation = 1.5 feet per minute
The difference in rate of change in elevation = 1.5 - 1 = 0.5 feet per minute
Thus, your friend's rate of change in elevation is 0.5 feet per minute more than your rate.
To learn more about the rate of change in elevation click here:
brainly.com/question/28719603
#SPJ1
Find the GCF of 20m and 45.
Answer:
5
Step-by-step explanation:
20/5=4
45/5=9
cant simplify farther
Answer:
the answer is 5.
Step-by-step explanation:
Factors for 20: 1, 2, 4, 5, 10, and 20.
Factors for 45: 1, 3, 5, 9, 15, and 45.
Same numbers is 5.
the answer is 5.
A) on monday, you have a single request: order a for 15,000 units. it must be fulfilled by a single factory. to which factory do you send the order? explain your decision. support your argument with numbers.
Based on the above, it can be inferred that the best option to produce the 15,000 units is the factory with the lowest cost per unit.
What is the cost per unit?Unit cost is a term to refer to the value per unit of a product that a factory charges to produce it.
In this case, the best alternative to produce 15,000 products is the factory with the lowest cost per unit, since this will reduce the cost of the order.
How to find the cost per unit?To find the cost per unit we divide the total cost of the order by the number of units. For example:
If the factory tells me that it charges me 10,000 to make 15,000 units, while another one charges me 8,000 to make 15,000 units. Which one has less value per unit?To know which one is more convenient, I must divide the total value by the number of units
10,000 ÷ 15,000 = 0.668,000 ÷ 15,000 = 0.53According to the above, the second option would be the cheaper.
Learn more about production in: https://brainly.com/question/22852400
#SPJ1
Answer:
.53 facory B
Step-by-step explanation:
10000/15000 =.66
8000
13.12 / .10 equals what please help me
Answer:
131.2
Step-by-step explanation:
Answer:
132
Step-by-step explanation:
13.12 / .10
132
Determine whether each vector can be written as a linear combination of vectors S 1) 8= {(2₁-1₁3), (5,0,4)} a) 2- (-1₁-2.2); c) w = (1₁-8, 12) b) v = (8,-14, 27/4) d) (1,1,-1)
We are given a set of vectors S and we need to determine whether each given vector can be written as a linear combination of the vectors in S.
(a) For vector (2, -1, -2), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (2, -1, -2). By solving the system of equations, we find that k₁ = -1 and k₂ = 0, so the vector can be written as a linear combination of the vectors in S.
(b) For vector (8, -14, 27/4), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (8, -14, 27/4). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.
(c) For vector (1, -8, 12), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (1, -8, 12). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.
(d) For vector (1, 1, -1), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (1, 1, -1). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.
Learn more about vectors here: brainly.com/question/29740341
#SPJ11
can someone help me?!!! I need help!! ASAP
Answer:
look at the picture .......................
Find 3 ratios that are equivalent to the given ratio. 8:36
Answer:
4:18
2:9
Step-by-step explanation:
please give brainliest
Shelly and Terrence completed a different number of tasks in a game. Shelly earned 90 points on each task. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's total points in the game:
90x − 20
What does the factor x of the first term of the expression represent? (2 points)
Group of answer choices
The total number of tasks Terrence completed
The total number of tasks Shelly completed
The sum of Shelly's and Terrence's total points
The difference between Shelly's and Terrence's total points
The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed
The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.
To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.
On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.
So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.
Therefore, the correct answer is: The total number of tasks Terrence completed.
for more such question on substituting visit
https://brainly.com/question/22340165
#SPJ8
Write the following equation in the general form Ax + By + C = 0.
1/2 y - 1/3x - 1 = 0
-2x + 3y - 6 = 0
2x - 3y - 6 = 0
2x - 3y + 6 = 0
7x + 18 and 10x + 9
I need some help quick
Answer:
X=3
Step-by-step explanation:
Equation 1:
7×3=21
21+18=39
Equation 2:
10×3=30
30+9=39
If you replace x with 3 on both equations then you get 39 and if you get 39 on both equations that means it is equal.
Could I please have BRAINLIEST?
Can someone please help me on this question!!!
Answer:
3(b/150)
I think I got it right, where's my second supporter?
For the system of capacitors shown in the figure below, find the following. (Let C
1
=7.00μF and C
2
=6.00μF.) ) (a) the equivalent capacitance of the system X Your response differs from the correct answer by more than 10%. Double check your calculations. μF (b) the charge on each capacitor on C
1
Your resnonse differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. μC on C
2
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. μC
The charge on capacitor C2 is 3.24μC.
Given: Capacitance of capacitor C1=7.00μF and Capacitance of capacitor C2=6.00μF
(a) Equivalent capacitance of the system.
Using the formula for capacitance when capacitors are in parallel: C = C1 + C2C = 7.00μF + 6.00μFC = 13μF
Thus, the equivalent capacitance of the system is 13μF.
(b) Charge on each capacitor:
We know that charge stored by the capacitor is given by the formula Q = CV.
Calculating the charge on capacitor C1Q1 = C1V1
Where V1 is the potential difference across capacitor C1V1 = V
The total charge in the system should be equal and thus:
Q = Q1 + Q2
Where Q is the total charge.Q2 = Q - Q1Q2 = CV - C1V
The potential difference V = V1 + V2
Applying the formula V = V1 + V2
We have V = Q/C 1+ Q/C 2Q
= VC 1C 2/ C 1+ C 2Q
= (7.00μF x 6.00μF)V / 7.00μF + 6.00μFQ
= 42.0 V / 13.0μFQ
= 3.23 μC
Thus, the charge on capacitor C1 is 3.23μC.Q2 = 3.23μC - 6.00μF x V2V2
= Q2 / C2V2 = 3.23μC / 6.00μFV2
= 0.54 VQ2 = C2V2Q2
= 6.00μF x 0.54VQ2
= 3.24 μC
Thus, the charge on capacitor C2 is 3.24μC.
Know more about capacitor here:
https://brainly.com/question/21851402
#SPJ11
What is the X-intercept for the following equation
The x-intercept of the equation 70x - 12y = 350 is (5, 0).
How to find x-intercept of an equation?The x-intercept of an equation is where a line crosses the x-axis. The x-intercept of an equation is the value of x when y equals to zero.
Therefore, let's find the x-intercept of the equation as follows:
70x - 12y = 350
Hence,
12y = 70x - 350
Let's substitute y = 0 in the equation
12(0) = 70x - 350
70x = 350
divide both sides by 70
x = 350 / 70
x = 5
Therefore, the x-intercept is (5, 0)
learn more on x-intercept here: https://brainly.com/question/14180189
#SPJ1
in a one-period binomial model of an option value, the probabilities of an up-move and a down-move are:
In a one-period binomial model of an option value, the probabilities of an up-move and a down-move are "calculated from the model inputs."
What is binomial model?The number of survivors, x, in n independent tests is described by a binomial model. The number of tests must be predetermined, the results—success or failure—must be statistically independent for each test, and the survival probability—p—must be constant throughout the tests. When a process is repeated a certain number of times (for example, in a set of patients), the result for each patient can either be a success or a failure, the binomial distribution model enables us to calculate the probability of observing a specified number of "successes."
To know more about binomial model,
https://brainly.com/question/27575903?referrer=searchResults
#SPJ4
I need help with this pleasee
Answer:
1. x=34
2.x=10
3. x=22
4. x=81
5.x=1
6.x=-8
7.x=-6
8. x=61
9. x=0.8
10. x= 2
11. x=25.2
12.x=-4
13.x=64
14.x=29
15. x=19
Step-by-step explanation:
a bin contains 21 balls, numbered 1 through 21. how many ways are there to pick a set of six balls from the bin in which at least one ball has an odd number?
To find the number of ways to pick a set of six balls from the bin in which at least one ball has an odd number, we can use the principle of inclusion-exclusion.
First, we find the total number of ways to pick a set of six balls from the bin, which is 21 choose 6 (written as C(21,6)) = 54264.
Next, we find the number of ways to pick a set of six balls from the bin in which all the balls have even numbers. There are only 10 even-numbered balls in the bin, so the number of ways to pick a set of six even-numbered balls is 10 choose 6 (written as C(10,6)) = 210.
Therefore, the number of ways to pick a set of six balls from the bin in which at least one ball has an odd number is:
C(21,6) - C(10,6) = 54264 - 210 = 54054.
So there are 54054 ways to pick a set of six balls from the bin in which at least one ball has an odd number.e
learn more about odd here:brainly.com/question/29377024
#SPJ11
Please answer this right and if you do I’ll give brainly
Answer :
92
92 bc you’d get 92.16 but round down
f(x) = -3/5x - 17 if f(x) = -2, find x
f(x) = -11 - 1/6x if f(x) - -25, find x
Answer:
x = - 25 , x = 84
Step-by-step explanation:
Given f(x) = - \(\frac{3}{5}\) x - 17 and f(x) = - 2 , then equate right sides
- \(\frac{3}{5}\) x - 17 = - 2 ( add 17 to both sides )
- \(\frac{3}{5}\) x = 15 ( multiply both sides by 5 to clear the fraction )
- 3x = 75 ( divide both sides by - 3 )
x = - 25
---------------------------------------------------------
Similarly equate right sides
- 11 - \(\frac{1}{6}\) x = - 25 ( add 11 to both sides )
- \(\frac{1}{6}\) x = - 14 ( multiply both sides by 6 to clear the fraction )
- x = - 84 ( multiply both sides by - 1 )
x = 84
Please help me with this problem! Thank you!
Answer: it is a
Step-by-step explanation:
What is the slope?
A) -5/4
B) 5/4
C)-4/5
D) 4/5
Answer:
A
Step-by-step explanation:
The slope is not increasing y as x is increasing, so you immediately know the slope is negative. The formula is rise/run so the change in y/rise is 5 and the change in x/run is 4. Which allows you to get -5/4
How do you solve complex fraction equations?
To solve complex fractions there are two methods -
1 - Divide the numerator by the denominator by multiplying the numerator by the reciprocal of the denominator and then simplify further if necessary.
2 - Multiply the numerator and denominator of the overall complex fractions and then simplify further if necessary.
What is a complex fraction?
A rational expression with a fraction in the numerator, denominator, or both is referred to as a complex fraction.
There are two ways to solve a complex fraction -
Method 1 : Take an example - (1/3-1/4)/(1/8+1/2)
Step 1 - If necessary, combine the denominator and numerator into a single fraction.
Add the numerator -
=1/3-1/4
=(4-3)/12
=1/12
Add the denominator -
=1/8+1/2
=(1+4)/8
=5/8
Combine back to form a complex fraction -
=(1/12)/(5/8)
Step 2: Multiply the numerator by the denominator's reciprocal, then divide the result by the denominator.
Step 3: Simplify the rational expression if necessary.
=(1/12)×(8/5)
=8/60
=2/15
Method 2: Take an example - [(2x+1)/(x^2-25)]/[(4x^2-1)/(x-5)]
Step 1 - Divide the LCD of the smaller fractions by the numerator and denominator of the total complex fractions.
(x^2-25)=(x+5)(x-5)
The denominator of the denominator’s fraction has the following factor -
(x-5)
Using the highest exponent and combining all the other factors, we arrive at the LCD shown below for all the little fractions -
(x+5)(x-5)
By multiplying the LCD by the numerator and denominator -
=[{(2x+1)/(x+5)(x-5)}×(x+5)(x-5)]/[{(2x+1)(2x-1)/(x-5)}×(x+5)(x-5)]
=(2x+1)/(2x+1)(2x-1)(x+5)
Step 2 - Simplify the rational expression if necessary.
=(2x+1)/(2x+1)(2x-1)(x+5)
=1/(2x-1)(x+5)
Therefore, there are two methods to solve complex fractions.
To learn more about complex fraction from the given link
https://brainly.com/question/30154926
#SPJ4