Answer:
77
Step-by-step explanation:
First, let's simplify the expression inside the innermost parentheses:
5x12 = 60
60/2 = 30
-14 + 30 - 6 = 10
Now, we have:
[64 + {23 - 10}] = [64 + 13] = 77
Activity 3
A
Write in increasing order according to their capacity:
In increasing order according to their capacity:
C, A, B A, B, CB, C, A B, C, AA, B, C C, A, BB, C, A A, C, BWhat is capacity?The capacity of a container, such as a cup, bottle, or tank, is the amount of fluid or material it can hold. It is usually stated in volume quantities such as liters, milliliters, gallons, or ounces.
Capacity is a necessary concept in engineering, manufacturing, and transportation, where it is used to design and run systems involving the storage, movement, and processing of fluids or materials.
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Question 1
10 pts
Caroline conducted a survey to see if there is a relationship between the number of hours spent in a mall and the amount of money spent. The table provides the data she collected during her survey.
Respondent 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Time Spent (in hours) 2. 3.5 2.0 2.0 4.0 5.5 3.5 6.5 7.0 1.5 4.0 5.0 6.5 1.5 6.5
Amount Spend (in dollars) 85 75 50 125 35 60 50 120 150 65 120 135 175 80 165
Caroline wants to make a scatter plot of her survey. What scales should she use for the axes on her scatter plot? Select all that apply.
For the y-axis she should use a scale from 0 to 170 in 10-dollar intervals.
For the x-axis she should use a scale from 0 to 8 in one-hour intervals.
For the x-axis she should use a scale from 0 to 180 in 10-dollar intervals.
For the y-axis she should use a scale from 0 to 8 in 15-minute intervals.
For the x-axis she should use a scale from 0 to 8 in half-hour intervals.
For the y-axis she should use a scale from 0 to 180 in 5-dollar intervals.
The scale she use for the axes on her scatter plot are:
For the y-axis she should use a scale from 0 to 180 in 10-dollar intervals.
For the x-axis she should use a scale from 0 to 8 in one-hour intervals.
What is scatter plot?A scatter plot is a type of graph that displays values for two variables as a set of points on a two-dimensional coordinate system.
According to given information:For the y-axis she should use a scale from 0 to 180 in 10-dollar intervals.For the x-axis she should use a scale from 0 to 8 in one-hour intervals.These are the appropriate scales for the axes on Caroline's scatter plot as they will allow for a clear visualization of the relationship between the number of hours spent in the mall and the amount of money spent.
The y-axis should show the amount of money spent, and a scale from 0 to 180 in 10-dollar intervals will provide enough range to accommodate the highest value in the data set (175 dollars) and allow for clear and easy-to-read axis labels.
Similarly, the x-axis should show the time spent in the mall, and a scale from 0 to 8 in one-hour intervals will also provide enough range to accommodate the highest value in the data set (7 hours) and allow for clear and easy-to-read axis labels.
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PLEASE HELP!! find angle RVU
Answer:
110.5
Step-by-step explanation:
The first step is to find the measure of angle RVT
Angle Formed by Two Chords= 1/2(SUM of Intercepted Arcs)
RVT = 1/2 ( 97+42)
RVT =1/2 ( 139)
RVT = 69.5
Now RVT and RVU equals a straight line so they add to 180
RVT + RVU = 180
69.5 + RVU = 180
RVU = 110.5
Two points on a circle of radius 1 are chosen at random. Find the probability that the distance between the two points is at most 1.5.
The probability that the distance between two points on a circle of radius 1 is at most 1.5 is approximately 0.477 or 47.7%, which corresponds to the range of central angles less than or equal to 3 radians out of the total central angle of 2π radians.
Let's consider two points on a circle of radius 1, labeled A and B. The distance between A and B is given by the length of the arc AB on the circle, which is a fraction of the circumference of the circle. The circumference of a circle of radius 1 is 2π, so the length of the arc AB is given by
d = θ/2π * 2πr = θ
where d is the distance between A and B, θ is the central angle between A and B (in radians), and r is the radius of the circle (which is 1 in this case).
To find the probability that the distance between A and B is at most 1.5, we need to find the range of central angles that correspond to arc lengths less than or equal to 1.5. Let's call this range of angles θ₁. We have
θ₁ = 2d/r = 2(1.5)/1 = 3
This means that the central angle between A and B must be less than or equal to 3 radians for the distance between A and B to be at most 1.5. Since the total central angle of the circle is 2π radians, the probability of selecting two points with a central angle less than or equal to 3 radians is
P(θ ≤ 3) = θ/2π = 3/2π ≈ 0.477
Therefore, the probability that the distance between two points on a circle of radius 1 is at most 1.5 is approximately 0.477 or 47.7%.
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Does tom have a legitament gripe?
Tom can choose from 7,000 possible schedules if every possible course is available at the time he's registering.
Tom can choose 22,400 possible schedules when the number of acceptable courses is doubled. The number of possible schedules is increased by a factor of approximately 3.2
What is the course available?(a) If every possible course is available at the time Tom is registering, he can choose from:
5 choices for English x 5 choices for History x 5 choices for Math/Stats x 8 choices for Computer Science x 7 choices for general Science
= 5 x 5 x 5 x 8 x 7
= 7000 possible schedules.
(b) If the number of acceptable courses in each of the five areas is doubled, Tom can choose from:
10 choices for English x 10 choices for History x 10 choices for Math/Stats x 16 choices for Computer Science x 14 choices for general Science
= 10 x 10 x 10 x 16 x 14
= 22400 possible schedules.
The number of possible schedules is increased by a factor of:
22400 / 7000 = 3.2 (approximately)
So the number of possible schedules is increased by a factor of approximately 3.2 when the number of acceptable courses is doubled in each of the five areas.
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See text below
While making up his schedule for spring semester, Tom complains that he doesn't have very many choices of schedule because of the general education requirements he has to meet. His advisor tells Tom that he has to take one course from each of English (5 choices), History (5 choices), Math/Stats (5 choices), Computer Science (8 choices), and general Science (7 choices). Does Tom have a legitimate gripe?
(a) If every possible course is available at the time he's registering, how many possible schedules can he choose from (disregarding when the classes meet)?
Tom can choose -------- from possible schedules.
(b) In an unprecedented effort to make the general education requirements more accessible, the dean of Tom's college decides to double the number of acceptable courses in each of those five areas. What effect does this have on the number of possible schedules?
Tom can choose ----------- from possible schedules when the number of acceptable courses are doubled. The number of possible schedules is increased by a factor of-------
Clinton and Stacy decided to travel from their home near Austin, Texas, to Yellowstone National Park in their RV.
- The distance from their home to Yellowstone National Park is 1,701 miles.
- On average the RV gets 10.5 miles per gallon.
- On average the cost of a gallon of gasoline is $3.60.
Based on the average gas mileage of their RV and the average cost of gasoline, how much will Clinton and Stacy spend on gasoline for the round trip to Yellowstone National Park and back home?
A. $1,166.40
B. $2,480.63
C. $583.20
D. $64,297.80
Answer:
The answer is A. $1,166.40
Step-by-step explanation:
Suppose that $2000 is invested at an interest rate of 4.75% per year, compounded continuously. After how many years will the initial investment be doubled?
Do not round any intermediate computations, and round your answer to the nearest hundredth.
The initial investment will be doubled after approximately 14.6 years.
How long is required to double at a continuous compounding interest rate?The formula for continuous compounding is given by the formula A = Pe^(rt). We we want to find the time it takes for the initial investment to double, so we can set A = 2P and solve for t:
2P = Pe^(rt)
e^(rt) = 2
Taking the natural logarithm of both sides, we get:
rt = ln(2)
t = ln(2)/r
Substituting the values:
t = ln(2)/0.0475
t = 14.5925722223
t ≈ 14.6 years.
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Lily has a storage box shaped like a rectangular prism with a length of 4 feet, a width of 3 feet, and a height of 2 feet. She has a fishing pole that is 6 feet long. Can she store the fishing pole in the box?
Answer:
Volume L× W × H
Volume 4 × 3 × 2
4 × 3 × 2 =24
If the fish poke is 6 feet long and she has a rectangular prism of 24 since 4 × 3 ×2 equals 24 then yes she can store the fishing pole in the box
24
The figure below shows the transformation A to become rectangle B.
Which steps describe the transformation shown in figure?
A. a dilation with a factor of 1 1/2 followed by a translation to the left
B. a dilation with a factor of 2/3 followed by a translation to the left
C. a translation with a factor of 1 1/2 followed by a dilation to the left
D. a translation with a factor of 2/3 followed by a dilation to the left
Answer:
Step-by-step explanation:
A is correct
How many radians are in a full circle?
Answer: 2 Radians
Step-by-step explanation:
A full circle is 2 full radians, also known as 2π. Half of a circle is equal to 180 degrees, which is equal to one radian, π.
I have attached a picture of the unit circle below, this picture comes form www.remind.com, but you can find many online.
What is the critical value t* for constructing a 95% confidence interval for a mean from a sample size of n=20 observations?
The critical value t* for a two-tailed 95% confidence interval with 19 degrees of freedom is approximately 2.093.
How to determine the critical value tThe critical value t* depends on the degrees of freedom (df) and the desired level of confidence. For a 95% confidence interval and a sample size of n=20, the degrees of freedom would be df = n-1 = 19.
Using a t-distribution table with 19 degrees of freedom (since n-1=20-1=19), we can find the value of t* that corresponds to a 95% confidence level. For a two-tailed test (which is typically used for a confidence interval), the area in each tail is 0.025 (since 1 - 0.95 = 0.05, and we need to split this evenly between the two tails).
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i need help with this one, thank you
Answer: 288.62
Step-by-step explanation:
10.4^2 + 15.3^2 = 342.25,
c^2 = 342.25
c (hypotenuse of the right triangle & length of rectangle) = 18.5
7(8) + 10.4(15.3) = 288.62
Need help asap please!
Answer:
[tex]2 \dfrac{1}{2}[/tex] OR [tex]\dfrac{5}{2}[/tex]
Step-by-step explanation:
We can see that there are 2 whole shaded circles, and there is 1 half shaded circle.
Therefore, we can represent the shaded area as [tex]\bold{2 \dfrac{1}{2}}[/tex] circles.
We can convert this mixed number to an improper fraction by multiplying the whole number by the denominator and adding the resulting value to the numerator.
[tex]2 \dfrac{1}{2}[/tex]
[tex]= \dfrac{(2 \times 2) + 1}{2}[/tex]
[tex]= \dfrac{5}{2}[/tex]
Use the fact that m/LCR = 90° in circle C below to answer the following items.
a. If CQ is an angle bisector of ZLCR, what is
m/LCQ?
b. Identify two major arcs.
c. Name two congruent minor arcs.
d. Name three adjacent arcs that form a semicircle.
Answer:
a. 45°
b. Arc KPR and Arc RLP
c. Arc PR and Arc RL
d. Arc LQ, Arc QR, and Arc RP
Step-by-step explanation:
a. 90/2=45°
b. Observation
c. They both have measures of 90 degrees
d. Arc Addition Postulate
Answer:
see below
Step-by-step explanation:
angle lcr appears to be a right angle
therefore if a line bisects LCR it would split the angle into 2 congruent halves:
so
90/2=45
m<LCR=45
b) arc KP and arc PR
c)
arc KL and arc LQ
d) arc PR, arc RQ and arc QL
Three pipes in a school building are
leaking. After 30 minutes, pipe A has leaked 3/4 gallon of water. After 45 minutes, pipe B has leaked 1 1/4 gallons of water. After 20 minutes, pipe C has leaked 1/2 gallon of water.
Which sentence is true?
A. Pipe A is leaking at the fastest rate
B. Pipe C is leaking at the slowest rate.
C. Pipe A and C are leaking at the same rate.
D. Pipes A and B are leaking at a faster rate than Pipe C.
Answer: Option C
Step-by-step explanation: To compare the rates at which the pipes are leaking, we can find the amount of water each pipe leaks per minute.
For Pipe A:
3/4 gallon ÷ 30 minutes = 1/40 gallon per minute
For Pipe B:
1 1/4 gallon ÷ 45 minutes = 5/36 gallon per minute
For Pipe C:
1/2 gallon ÷ 20 minutes = 1/40 gallon per minute
Therefore, Pipes A and C are leaking at the same rate, which means option C is true. Option A and D are false, as Pipe B has the fastest leak rate. Option B is false, as both Pipe A and Pipe C are leaking at the same rate.
61) If an ellipse has vertices at (-7.0). (7.0), (0.4), and (0-4), what is its domain? What is its range?
The domain of the ellipse is [-7, 7].
The range of the ellipse is [-4, 4].
What is a domain?In mathematics, the domain of a function is the set of all possible input values for which the function is defined. In other words, it is the set of all values of the independent variable (usually denoted by x) for which the function produces a valid output (usually denoted by y).
What is the range?In mathematics, the range of a function is the set of all possible output values that the function can produce for a given set of input values. In other words, it is the set of all values of the dependent variable (usually denoted by y) that can be obtained from the function.
According to the given informationTo find the domain and range of an ellipse, we need to identify the minimum and maximum x-coordinates and y-coordinates of the points on the ellipse.
The center of the ellipse is the midpoint of its major axis, which is the line segment connecting its vertices (-7,0) and (7,0). The midpoint is ((-7+7)/2, (0+0)/2), or (0,0). This means the center of the ellipse is at (0,0).
The semi-major axis is the distance from the center of the ellipse to one of its vertices, which is 7. The semi-minor axis is the distance from the center of the ellipse to one of its co-vertices, which is 4.
So, the equation of the ellipse can be written in standard form as:
(x - 0)²/7² + (y - 0)²/4² = 1
Simplifying, we get:
x²/49 + y²/16 = 1
To find the domain and range, we need to consider the x-coordinates and y-coordinates separately.
For the x-coordinates, we can rearrange the equation as:
x² = 49 - 49y²/16
This tells us that the minimum and maximum values of x occur when y is at its extremes, which are -4 and 4. Substituting these values, we get:
x² = 0 and x² = 49
Taking the square root, we get:
x = 0 and x = ±7
So, the domain of the ellipse is [-7, 7].
For the y-coordinates, we can rearrange the equation as:
y² = 16 - 16x²/49
This tells us that the minimum and maximum values of y occur when x is at its extremes, which are -7 and 7. Substituting these values, we get:
y² = 0 and y² = 16
Taking the square root, we get:
y = 0 and y = ±4
So, the range of the ellipse is [-4, 4].
Therefore, the domain of the ellipse is [-7, 7], and the range of the ellipse is [-4, 4].
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HELP URGENT PLEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEZE
350 is the answer
Step-by-step explanation:
I hope it helps
Mrs Smith oatmeal cookie recipe calls for 2/5 of a cup of sugar how much sugar which she need to make 1/2 of a batch of cookies
If Mrs. Smith's oatmeal cookie recipe calls for 2/5 of a cup of sugar to make a full batch of cookies, then to make half a batch of cookies, she will need half the amount of sugar.
So, to find out how much sugar Mrs. Smith needs to make half a batch of cookies, we can use the following calculation:
Sugar needed for half a batch = (2/5 cup sugar) x (1/2 batch)
Simplifying this expression, we get:
Sugar needed for half a batch = 2/10 cup sugar
Which can be further simplified to:
Sugar needed for half a batch = 1/5 cup sugar
Therefore, Mrs. Smith will need 1/5 cup of sugar to make half a batch of oatmeal cookies.
Find the y intercept of the equation 5x-2y=28
Answer:
y- intercept = - 14
Step-by-step explanation:
the y- intercept is the point on the y- axis where the line crosses.
at any point on the y- axis, the x- coordinate is zero.
let x = 0 in the equation and solve for y , the y- intercept
5(0) - 2y = 28
0 - 2y = 28
- 2y = 28 ( divide both sides by - 2 )
y = - 14 ← y- intercept
Choose a correct name for the line shown. C B A overleftrightarrow BB overleftrightarrow AB AC BC
Note that the best name for the line segment indicated is [tex]\overleftrightarrow {AB}[/tex]
What is a line segment?A line segment is a section of a straight line that is bounded by two different end points and contains every point on the line between them. The Euclidean distance between the ends of a line segment determines its length.
Other types of lines are:
Lines that are parallel. Two lines in the same plane, either intersecting or not.
Lines that cross. Intersecting lines are two or more lines that cross in a plane.
Lines that are concurrent. Concurrent lines are defined as numerous lines that cross through each other at the same place.
Points that are curved.
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Full Question:
See attached image.
The heights of tomato plants are Normally distributed with a mean of 3.56 feet and a standard deviation of 0.25 foot.
About what percent of tomato plants have a height less than or equal to 3.88 feet?
About what % of tomato plants have a height less than or equal to 3.88 feet. Round the percent to two decimal places, if necessary.
Answer:
We need to find the percentage of tomato plant that has a height less than or equal to 3.88 feet.
We know that the tomato plant heights are normally distributed with a mean of 3.56 ft and a standard deviation of 0.25 ft.
Thus, the percentage P(x≤3.88) of the heights being less than 3.88 can be calculated using the z-score z, given
Answer
About 89.97% of tomato plants.
Answer:
89.97%
Step-by-step explanation:
Find the area of the triangle. The area is yd² (Simplify your answer.) 17.5 yd 42 yd 45.5 yd
A party company is designing a new line of individualized bubbles for various celebrations such as birthday parties, weddings, and anniversaries. The bubbles will be sold in various-sized packs. The individual container of bubbles will be a plastic cylindrical tube with a diameter 2 cm and a height of 8 cm.
How many square centimeters of plastic are needed for one tube of bubbles?
Round your answer to the nearest whole number.
A. 50 cm^2
B. 57 cm^2
C. 63 cm^2
D. 53 cm^2
Answer:
The formula for the surface area of a cylinder is:
SA = 2πr^2 + 2πrh
where r is the radius and h is the height.
Since the diameter of the tube is 2 cm, the radius is 1 cm.
Substituting the given values, we get:
SA = 2π(1^2) + 2π(1)(8)
SA = 2π + 16π
SA = 18π
To find the surface area in square centimeters, we need to multiply by the conversion factor (1 cm)^2/(1 π) = 1 cm^2/3.14.
SA = 18π × (1 cm^2/3.14)
SA ≈ 18 × 0.3185
SA ≈ 5.73 cm^2
Rounding to the nearest whole number, we get:
SA ≈ 6 cm^2
Therefore, the answer is B. 57 cm^2.
Step-by-step explanation:
You design a tree house using
a coordinate plane in which
the coordinates are measured
in meters (m ). The vertices of
the rectangular floor are
(6, 7), (-3, 7), (-3,2),
and (6,2).
What is the perimeter of the tree house?
What is the area of the tree house floor?
Perimeter = 28 yards
Area 49 square yards.
-3+8n=-5 for 7th grade math equation algebra
Answer: -0.25
Step-by-step explanation:
Start by undoing with PEMDAS (order of operations, P-parenthesis, E-exponents, etc)
+3 on both sides of equal sign, which gives you
8n=-2
then divide by 8 on both sides (undo the times 8)
n=-0.25
Answer: -0.25
Step-by-step explanation:
Start by undoing with PEMDAS (order of operations, P-parenthesis, E-exponents, etc)
+3 on both sides of equal sign, which gives you
8n=-2
then divide by 8 on both sides (undo the times 8)
n=-0.25
Joseph bought a T-shirt for $10.30 and another T-shirt for $18.90. what is the total amount spent
Answer:
29.2
Step-by-step explanation:
10.30+18.90=29.2
Answer:
$29.20
Step-by-step explanation:
$10.30
+$18.90
=$29.20
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For this graph, write the limits which describe the end-behavior of this graph.
The limits which describe the end behavior of the function are given as follows:
[tex]\lim_{x \rightarrow -\infty} f(x) = 1[/tex][tex]\lim_{x \rightarrow \infty} f(x) = 0[/tex]What is the end behavior of a function?The end behavior of a function refers to how the function behaves as the input variable (typically denoted as x) approaches positive or negative infinity. In other words, the end behavior describes the long-term behavior of the function as x becomes very large (either positively or negatively).
We can see that the left of the graph approaches y = 1, hence the limit is given as follows:
[tex]\lim_{x \rightarrow -\infty} f(x) = 1[/tex]
The right of the graph approaches y = 0, hence the limit is given as follows:
[tex]\lim_{x \rightarrow \infty} f(x) = 0[/tex]
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Plot the numbers -2 1/2 and 1 3/4 on the number line below.
Answer:
picture
Step-by-step explanation:
The distance between each big tick mark is 1, (for example take 2 and 1, 2 minus 1 equals to 1), however, in between each of these big tick marks are four small tick marks. The distance between each small tick mark is the distance between each big tick mark divided by the amount of small tick marks plus 1 (1 divided by 4, which is 1/4).
So in this number line you count by 1/4.
what is an equation of the line that passes through the points (0,8) and (-6,-2)?
Points are (0,-8) and (-6,-3) Slope m = rise/run = Δy/Δx. [(-3 - (-8)]/[-6 - 0] = 5/-6 = -5/6
y = mx + b Using the (0,-8) point: -8 = 0x + b, so b = -8
The line is y = -5x/6 - 8 or (-5/6)x - 8. You can check via the Desmos Graphing Calculator site
I used the slope-intercept form, but you could also use the point-slope form (y2 - y1) = m(x2 - x1)
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The profit for one small cake is £1.31.
How to calculate the profitLet's first determine the overall count of parts demonstrated in the ratio 5:7:12, which is equal to 24. Subsequently, each part would hence correspond to a quantity of nine cakes as per the equation below:
216 cakes / 24 = 9 cakes
5 parts x 9 cakes/part = 45 cakes
Likewise, similarly calculating the number of medium cakes leads us to 63 cakes, while that of large cakes sums up to 108 cakes:
7 parts x 9 cakes/part = 63 cakes
12 parts x 9 cakes/part = 108 cakes
Considering what the profit for one small cake is denoted by "x", and similarly, the profit for one medium cake is "2x" and the profit for one large cake is "3x", we can express the total gain as follows:
45x + 63(2x) + 108(3x) = 648.45
After similifying and solving for "x", we obtain an answer of £1.31 after rounding it off to two decimal places:
495x = 648.45
x = 1.31 (rounded to two decimal places)
Thus, the income earned from selling one single small cake is estimated at £1.31.
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