Which of the following describes the graph of {x | 1 < x < 2}? open circles on 1 and 2 open circles on 1 and 2, arrows pointing out open circles on 1 and 2, line segment between no solution
Answer:
open circles on 1 and 2
Plz help! Convert 6/9 into fractions with a denominater of 27 A. 6/7 B.21/27 C. 9/27 D.18/27
What is the edge length of a cube with the volume of 1,000 cubic feet.
Evaluate.
3+2⋅6
_____
3
What is a correct first step in solving the inequality-4(3_5×)>_6×+9?
The function L = 0.8T2 models the relationship between L, the length in feet of a pendulum, and T, the period in seconds of the pendulum. Which value is closest to the period in seconds for a pendulum that is 30 ft long?
A) 5.4 s
B) 4.9 s
C) 6.8 s
D) 6.1 s
Please help A.S.A.P
Final answer:
Using the formula L = 0.8T², we find that a pendulum 30 ft long has a period of approximately 6.1 seconds, which corresponds to Option D.
Explanation:
The question is about finding the period, T, in seconds for a pendulum that is 30 ft long, using the formula L = 0.8T2. First, to solve for T given that L = 30, we rearrange the equation to T = √(L/0.8). Plugging in L = 30, we have T = √(30/0.8), which simplifies to T = √(37.5).
Calculating further, we find T ≈ 6.12 seconds. Therefore, the answer closest to the period in seconds for a pendulum that is 30 ft long is 6.1 seconds (Option D).
N is between M and P. if MP=12 and NP=8, then what is the length of MN?
7.1 + 16.04 – .2 = ?
8.0 × 105 + 6.0 × 107 = A. 14,000,000,000,000 B. 140,000,000 C. 60,800,000 D. 68,000,000
Mario purchases a prepaid phone plan for $50. Each minute he uses costs $0.13. How many minutes can Mario talk on this plan? Write an inequality that represents this problem and solve the inequality
Final answer:
Mario can talk for up to 384 minutes on his $50 prepaid phone plan. We use the inequality 0.13m ≤ 50 and solve for m to find the maximum number of whole minutes Mario can use.
Explanation:
To solve this problem, we need to set up an inequality that represents the constraints of Mario's prepaid phone plan budget. The inequality will help us determine the maximum number of minutes Mario can talk on this plan.
Let's use m to represent the number of minutes Mario can talk. We know that each minute of talk time costs $0.13, and Mario's prepaid plan is $50. Our inequality should reflect the fact that the total cost of talking m minutes cannot exceed his budget of $50.
The inequality will look like this:
0.13m ≤ 50
To solve for m, we divide both sides of the inequality by 0.13:
m ≤ 50 / 0.13
When we calculate 50 divided by 0.13, we get approximately 384.6154. Since Mario cannot talk for a partial minute on his prepaid plan, we round this number down to the nearest whole minute, which is 384 minutes.
Therefore, Mario can talk for up to 384 minutes on his prepaid phone plan.
To find the number of minutes Mario can talk on the prepaid phone plan, we can set up an inequality: 0.13x <= 50. Solving this inequality, we find that Mario can talk for a maximum of 384 minutes.
Explanation:To find the number of minutes Mario can talk on the prepaid phone plan, we can set up an inequality based on the cost. Let x represent the number of minutes. The cost of the phone plan is $50, and each minute costs $0.13. So, the inequality is: 0.13x <= 50. To solve this inequality, we divide both sides by 0.13 to isolate x and find: x <= 50 / 0.13. Using long division or a calculator, we can find that x is approximately 384.61, but since we can't have a fraction of a minute, the maximum number of minutes Mario can talk on this plan is 384 minutes.
When is it helpful to round the quotient to the nearest hundredths?
Consider the equation 5x+10=30 and 5(x+10)=30 Do they have the same solution? Why or why not?
These two equations do not have the same solution. x = 4 for the first equation and x = -4 for the second equation.
Why are both equation different?In the equation 5x + 10 = 30, we are adding 10 to the product of 5 and x. To find x, we can first subtract 10 from both sides of the equation to get 5x = 20. Then we divide both sides of the equation by 5 to solve for x, giving us x = 4.
5x + 10 = 30
5x = 30 - 10
5x = 20
x = 20/5 = 4
In the equation 5(x + 10) = 30, we are first adding x and 10 together, then multiplying the result by 5. To solve for x, we can start by dividing both sides of the equation by 5 to get x + 10 = 6. Then we subtract 10 from both sides to solve for x, giving us x = -4.
5(x + 10) = 30,
5x + 50 = 30
5x = 30 - 50
5x = -20
x = -20/5 = -4
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Write the point-slope form of the equation of the horizontal line that passes through the point (2, 1). Pease show how!
Three member of a tug-of-war team weigh 163 pounds, 148 pounds. and 143 pounds. what must the fourth member weight if the average weight is 150 pounds?
The number of girls, g, in a room is four more than two times the number of boys, b. Half of the number of girls in the room minus the number of boys is 2. The equations below represent the situation.
Answer:
A
Step-by-step explanation:
Brad makes his own snack mix using whole grain cereal and mixed nuts. One batch of his recipe makes 6 cups of snack mix. Brad uses 3 times as much cereal as mixed nuts. The system below can be used to find the number of cups of cereal and number of cups of mixed nuts Brad uses to make one batch of snack mix.
Which describes the ingredients Brad uses to make one batch of snack mix?
Answer:
The answer is 4.5 cups of cereal and 1.5 cups of mixed nuts
Step-by-step explanation:
Let 'c' be the number of cups of cereal.
Let 'n' be the number of cups of mixed nuts.
One batch of his recipe makes 6 cups of snack mix, so equation becomes:
[tex]c+ n=6[/tex] ..... (1)
Also given that Brad uses 3 times as much cereal as mixed nuts, so equation becomes:
[tex]c=3n[/tex] ......(2)
Substituting (2) in (1)
[tex]3n+n=6[/tex]
=> [tex]4n=6[/tex]
=> [tex]n=1.5[/tex]
Since c = 3n, then
[tex]c=3*1.5=4.5[/tex]
So, the answer is 4.5 cups of cereal and 1.5 cups of mixed nuts.
What is 8.63 repeating as a fraction?
Jessica has two strings. the first string measures 80 cm and the second string measures 64cm. she wants to cut the strings into equal lengths. of the least number of strings equal length is 16 what is the length of each string
A segment with endpoints X (6, 2) and Y (- 1, - 3) is rotated 90º about the origin. What are the coordinates of X Prime and Y Prime?
A segment with endpoints X (6, 2) and Y (- 1, - 3) when rotated 90 degrees about the origin will result in new endpoints X' (-2, 6) and Y' (3, -1).
Explanation:This problem deals with the concept of point rotation in a 2D coordinate plane around the origin. When any point (X, Y) is rotated 90 degrees counter-clockwise about the origin, the new position, let's say (X', Y'), can be calculated by using the formulas X' = -Y and Y' = X. Therefore, applying these rotations to the points X(6,2) and Y(-1,-3), we get X'(-2, 6) and Y' (3, -1). So, the endpoints X Prime and Y Prime of the rotated segment are (-2, 6) and (3, -1) respectively.
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After rotating a 90-degree rotation about the origin, the coordinates of X (6, 2) and Y (-1, -3) transform to X' (-2, 6) and Y' (3, -1) respectively.
Explanation:When a point (x, y) is rotated 90º counterclockwise about the origin, it transforms to (-y, x). Let's apply this rule to the endpoints X (6, 2) and Y (-1, -3).
The coordinates of X prime would be (-2, 6) that is, (-y, x).
The coordinates of Y prime would be (3, -1) that is, (-y, x).
Thus, the transformed coordinates for X and Y would be (-2, 6) and (3, -1) respectively after a 90-degree rotation about the origin.
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The sum of two numbers is 64 . the larger number is 22 more than the smaller number. what are the numbers?
64-22 = 42
42/2 = 21
21+22 = 43
21 + 43 = 64
the numbers are 21 & 43
The larger number is 43 and the smaller number is 21.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The numbers will be calculated as:-
Let the larger number be L and the smaller number be S.
L + S = 64
From the given data the larger number is 22 more than the smaller number
L = S + 22
Put L = S + 22 in the above equation.
S + 22 + S = 54
2S = 64 -22
2S = 42
S = 42 / 2 = 21
L = S +22 = 21 + 22 = 43
Therefore, the larger number is 43 and the smaller number is 21.
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1. Find a counterexample.
If two angles are complementary, then they are not congruent.
Complementary angles are angles that add up to 90 degrees but may not have the same measure. A counterexample to the statement would be two angles that are complementary but not congruent.
Explanation:Complementary angles are angles that add up to 90 degrees. Congruent angles are angles that have the same measure.
A counterexample is a situation where the statement is false. In this case, a counterexample would be two angles that are complementary but not congruent.
For example, let's consider a 45-degree angle and a 45-degree angle. These angles are complementary because their sum is 90 degrees. However, they are not congruent because they have different measures.
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Liam uses checks and a debit card, but does it not always right all the transactions and his checkbook register. He has lost track of his checkbook balance. Liam looks up the "available balance" using online banking, and write it on the next line as his new checkbook balance available to spend. What is wrong with Liam's method
Answer:
All of the above is the answer
Step-by-step explanation:
If you live in Dallas, then you live in Texas, what is the contrpositive of this?
The length of a rectangle is 3 inches less than 4 times the width. If the perimeter is 55 inches, what is the width of the rectangle?
The width of the rectangle is 6.1 in.
What is a rectangle?That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.
Perimeter of the rectangle = 2(L + W) unit
WE have been given that length of a rectangle is 3 inches less than 4 times the width.
Length = 4x-3
width = x
If the perimeter is 55 inches, then
Perimeter of the rectangle = 2(L + W) unit
55= 2(4x-3 +x)
55 = 2(5x-3)
27.5 = 5x-3
27.5+3 = 5x
30.5/5 = x
6.1=x
Thus, Width is 6.1 in
The length (4 x 6.1 -3) = 21.4
Hence, the width of the rectangle is 6.1 in.
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A rectangle has a length of 9.00 inches and a width of 4.25 inches. What is the area in square inches? Round to the correct significant digits. DO I ADD UNITS?????
Solve for x. x/3≤−6
Answer:
Hence, the value of x is [tex]x\leq -18[/tex]
Step-by-step explanation:
Consider the provided inequity.
[tex]\frac{x}{3}\leq -6[/tex]
We need to solve the above inequity of x.
Multiply both the side by 3.
[tex]3\times\frac{x}{3}\leq 3\times -6[/tex]
[tex]x\leq -18[/tex]
Hence, the value of x is [tex]x\leq -18[/tex]
Three (6‐sided) dice are thrown what is the probability that the same number appears on all three dice?
Any please help me :) because this is due tomorrow
In a circle whose radius is 4cm find the arc length intercepted by 30 degree angle
As per the radius and given angle the length of the arc will be equal to 2.09 cm.
What is an expression?If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.
The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. In order to include terms in an expression, a mathematical operation like reduction, addition, multiplication, or division is used.
As per the given information in the question,
Radius, r = 4 cm
Angle, θ = 30°
The formula for an arc's length is stated as:
= 2πr(θ ÷ 360)
So,
The length of arc = 2π(4)(30/360)
The length of the arc = 2.09 cm.
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4. One-half of Heather's age two years from now plus one-third of her age three years ago is twenty years. How old is she now?
x = the age of Heather
One half of Heather's age two years from now plus one-third of her age three years ago is twenty years
(x + 2)/2 + (x - 3)/3 = 20
by solving the equation we find
x = 24 years