Answer:
Figure A
Statement B is incorrect
Correct statement:
B. The area of the base is 85 in²
Figure B
Statement B is incorrect
Correct Statement: B.
The volume is equal to (16) (8) (3.5) cm³
Figure C
Statement A is incorrect
Correct Statement:
The area of the base is 60 mm²
Step-by-step explanation:
Figure A
The obvious wrong statement is statement B ==> Area cannot be less than the length of the base
The area of the base = 5 x 17 = 85 in²
Correct statement: The area of the base is 85 in²
Figure B
Statement B is wrong.
The dimensions of the rectangular prism are 16 x 8 x 3.5
The expression given is the volume of the prism not surface area
16 x 8 x 3.5 = 448
Correct Statement: The volume of the prism is (16) (8) (3.5)
Figure C
Statement A is incorrect
The base is a right triangle with dimensions 15mm and 8mm
The area should be 1/2 x 15 x 8 = 60 mm² not 120 mm²
Correct Statement:
A. The area of the base is 60 mm²
What are the three important elements of group discussion?
Purpose,Planning,Participation are the three important elements of group discussion.
What are the three important elements of group discussion?Goal setting up a group conversation has a goal as one of its initial elements. To reach an acceptable conclusion during a group discussion is the goal. The best method for deciding the next step is typically a group discussion.
A key component is preparation. The discussion's goal is decided by its participants. There cannot be just any expression of views in a group debate that seeks to reach a decision. It is important to structure the conversation so that each move brings the group one step closer to the desired outcome. Participation.
Any group conversation is only as good as its participants' participation. It is necessary to bring out group participants. There shouldn't be a few people that control it. Nevertheless, most groups have this tendency.
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Marsha had $4.00 in her pocket in the morning, and Mark had $0.50. Marsha sells her sweets for $0.25 each, and Mark sells his for $0.50 each.
If Marsha and Mark both sold the same number of sweets, and they have the same amount of money at the end of the day, how many sweets did they each sell?
Answer:
So is it 29 sweets
Step-by-step explanation:
Marsha and Mark both sold 14 numbers of sweets each.
To understand more, check below explanation.
Equation in one variable:Let us consider that Marsha and Mark both sold x number of sweets each.
Since Marsha sells her sweets for $0.25 each.
Amount Marsha earns = 0.25x
Mark sells his for $0.50 each.
Amount Mark earns = 0.50 x.
Given that, Marsha had $4.00 in her pocket in the morning, and Mark had $0.50.
4 + 0.25x = 0.50 + 0.50x
0.25x = 3.5
x = 3.5/0.25
x = 14
Hence, Marsha and Mark both sold 14 numbers of sweets each.
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Carrie buys 7/8 pound of red apples and 15/16 pound of green apples. Which answer is the most accurate estimate for how many more pounds of green apples she buys than pounds of red apple?
0 Pounds
1 Pound
1/2 Pounds (10 Points)
Answer:
0 pounds
Step-by-step explanation:
To bring \(\frac{7}{8}\) to 16ths it goes to \(\frac{14}{16}\)
A piece of plot in Gilgil measuring 27m by 16m is to be divided into smaller rectangular units leaving no remainder. Calculate the highest number of smaller units whose dimensions are each greater than 1m that can be obtained from the plot.
The maximum number of individual areas that may be created from the plot and have dimensions larger than 1 m each is 216.
What does the word "dimensions" mean?A dimension in mathematics is the lengths or breadth of a region, area, or space as seen from a single angle. It only comprises its length, width, and height of an item. A typical approach to describe dimensions is by length. Height, depth, and other dimensions represent example of dimensions. The dimensions of a line, a square, and a cube are all one, two, and three dimensions, respectively (3D).
ab > 1
So, a = 1
b = 2
Number is 27/1 * 16/2
= 27 * 8
= 216
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Please do a explanation:’)
Answer:
3x-3xy-2xy-5x+6. ( multiply the number that were outside the bracket)
By BODMAS rule...
= 3x-5x-3xy-2xy+6
= -2x-5xy+6
hope you understood...
Answer and Step-by-step explanation:
We are given an expression to simplify. According to PEMDAS
(Parenthesis, Exponents, Multiplication, Division, Addition, and Subtract [in that order]), we need to start with the parentheses first.
With what we are given, we need to multiply the value outside of the parenthesis to the values inside the parenthesis.
Start with the first set of terms in the expression.
3(x - xy)
We need to multiply 3 to the x and negative xy.
3x - 3xy
Now we go to the next set of terms in the expression.
-x(2y + 5)
Distribute the x (multiply) to the 2y and 5.
-2xy - 5x
Now, we combine like terms within the entire expression.
Combining like terms is essentially saying to combine the terms that have similar properties/values. We have values that have an x with it, and xy with it, and no variables with it. We can combine only the values with the x variable together, and the values with the xy variable can only be combined together. The values without the variables (if you have more than one), will combine only with each other.
3x - 3xy - 2xy - 5x + 6
____________________________________________
-5xy - 2x + 6 <- This is the final answer; the simplified version of the expression.
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for each meal, Jeffrey eats either toast, cereal, or pancakes. How many different ways can Jeffrey choose his three meals for the day? PLSS HELP ASAP RN!
Answer:
27
Step-by-step explanation:
Jeffrey has three choices for breakfast: toast, cereal, or pancakes. Then, he has three choices for lunch: toast, cereal, or pancakes. Finally, he has three choices for dinner: toast, cereal, or pancakes.
Putting these together, Jeffrey has 3 * 3 * 3 = 27 possible ways to select the three meals.
a census reports that the mean retirement age is 68.3 years. in a random sample, the mean retirement age is 65.8 years. what is the mean of 68.3 years?
The mean retirement age in the census report is 68.3 years.
The given information states that the population mean retirement age is 68.3 years, and a random sample of retirement age has a sample mean of 65.8 years. We can use this information to estimate the population mean with a certain level of confidence.
However, the question asks us to find the mean of 68.3 years, which is simply the given population mean. Therefore, we can state that the mean of 68.3 years remains the same, as it is not affected by the sample mean or any other sample statistic.
In other words, the population mean of 68.3 years is a fixed value, and it does not change based on the sample mean or any other sample statistic. Therefore, we can simply state that the mean retirement age is 68.3 years, which is the given information provided in the question.
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Evaluate the function rule for the given value. f(x) = 3x for x = –4
Answer:
f(x)=-12
Step-by-step explanation:
Since x=-4 substitute -4 into the equation
f(x)=3*-4
f(x)=-12
Hope this helped!
Help!?! Please 3 3/4 - 7/8= what!!
Answer:
2 7/8
Step-by-step explanation:
Answer:
2 7/8
Step-by-step explanation:
an auto dealer has 8 different cars and 4 different trucks. how many ways are there to select two vehicles?
There are 66 ways to choose two vehicles from the dealer's inventory.
A combination is a grouping of items from a larger set in which the order of the items is irrelevant. In other words, it is a method of selecting a subset of items from a larger set without regard for their order of selection.
The formula C(n, k) = n! / (k! (n - k)!) can be used to calculate the number of combinations.
where n represents the total number of items in the set and k represents the number of items in the combination.
The exclamation mark (!) represents the factorial function, which is the sum of all positive integers up to a certain number.
The number of ways to select two vehicles from 8 cars and 4 trucks is 8 + 4 = 12 vehicles.
To find the number of combinations, we use the formula for combinations, which is:
C(n, k) = n! / (k! (n - k)!)
where n is the total number of vehicles and k is the number of vehicles we want to choose.
So, for n = 12 and k = 2,
we have:
So, putting the value in above formula:
We will get it as:
C(12, 2) = 12! / (2! (12 - 2)!) = (12 * 11) / (2 * 1) = 66
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Mrs.Ramirez worked with her personal trainer to help develop a nutrition plan. The circle graph shows the recommended percentages for her daily intake. If she will start week 1 eating 1,800 calories, then how many should be from proteins?
Daily food intake:
Fruit: %15
Grains: %15
Protein: %35
Dairy: %10
Vegetables: %25
Answer choices:
A.450
B.350
C.630
D.270
(Please help!)
Answer:
C
Step-by-step explanation:
\(\frac{35}{100}*1800\\35*18\\\)
630
The portion of protein will be 630.
What is pie chart?The “pie chart” is also known as a “circle chart”, dividing the circular statistical graphic into sectors or sections to illustrate the numerical problems.
Given that a pie chart showing the distribution of the calories of 1800 in different nutrients, we need to find the portion of protein,
Here the portion of protein = 35%
So,
35 / 100 × 1800 = 630
Hence the portion of protein will be 630.
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Which of the following describes the end behavior of y=(x-2)²+3 as x approaches negative infinity?
A) approaches positive infinity
B) approaches 3
C ) approaches 0
D) approaches negative infinity
Answer:
y approches positive infinity
I-Ready
Describe Angle Relationships in Triangles - Quiz - Level H
The figure shoys a triangle with unknown angles.
Which equation shows the relationship between the angles in the triangle?
mL1 + mL2 + mL3 = 360°
mL1 + mL2 + mL3 = 180°
mL1 + mL2 = 360° + mL3
mL1 + mL2 = 180° + mL3
The equation that shows the relationship between the angles in the triangle is m∠1 + m∠2 + m∠3 = 180.
What is the relationship between the angles of the triangle?The equation that shows the relationship between the angles in the triangle is determined as follows;
The sum of angles in a triangle is equal to 180 degrees.
So based on this information, the equation that shows the relationship between the angles in the triangle is formulated as;
angle 1 + angle 2 + angle 3 = 180
We can re-write the equation as follows;
m∠1 + m∠2 + m∠3 = 180
Thus, the equation that shows the relationship between the angles in the triangle is the sum of angle 1 plus angle 2 plus angle 3.
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Find the slope of the line.
y
5
4
(-1,3)
(3, 3)
2
1
-3-2-1
1
2
3
The slope of the line is
Step-by-step explanation:
m = (y2 - y1)/(x2 - x1)
m = (3 - 3)/(3 + 1)
m = 0/4
m = 0
Slope = 0
1) Use these 15 numbers as your data points
141, 330, 292, 198, 263, 224, 149, 121, 223, 125, 126, 48, 111, 327, 238
2) Find the:
Mean=
Median=
Mode=
Range=
MAD (mean absolute deviation)=
IQR(Interquartile range of box n whisker plot)=
3) Create a box n whiskers plot of the data
The mean, median, range and IQR of the data set are 194.4, 198, 282 and 138
1. The mean = 194.4
2. The median = 198
4. The range is 282
5. The interquartile range is 138
What are measures of central tendency?A single number that seeks to characterize a set of data by pinpointing the center location within that set of data is referred to as a measure of central tendency.
The data set given is ; 48, 111, 121, 125, 126, 141, 149, 198, 223, 224, 238, 263, 292, 327, 330
1. The mean of the data is;
mean = 48 + 111 + 121 + 125 + 126 + 141 + 149 + 198 + 223 + 224 + 238 + 263 + 292 + 327 + 330 / 15
mean = 194.4
2. The median of the data is 198
3. The mode of the data is 141, 330, 292, 198, 263, 224, 149, 121, 223, 125, 126, 48, 111, 327, 238
4. The range of the data is 282
5. The interquartile range = 138
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Write the equation in slope-intercept form: answers y=1/2x, y=3x+1/2, y=1/2x+3, y=2x+3
The equation in the slope-intercept form is:
y = (1/2)*x + 3
How to write the equation?
A general linear equation is:
y = a*x + b
Where a is the slope and b is the y-intercept.
To get the slope, we need two points on the line, by using the graph we can identify the points: (0, 3) and (2,4)
Then the slope is:
\(a = \frac{4 - 3}{2 - 0} = 1/2\)
And we also can see that the y-intercept is y = 3, because of the point (0,3)
Then the line is:
y = (1/2)*x + 3
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Will mark brainliest
18
Answer:
y = 4
Step-by-step explanation:
Given
96 = - 6(- 4 - 3y) ( divide both sides by - 6 )
- 16 = - 4 - 3y ( add 4 to both sides )
- 12 = - 3y ( divide both sides by - 3 )
4 = y , that is y = 4
Find what x equals 17 + 4x = -(5x + 1)
(Explanation please)
Answer:
x = -2
Step-by-step explanation:
\(17 + 4x = - (5x + 1)\)
Distribute - 1 to (5x + 1) .
\(17 + 4x = - 5x - 1\)
Add 1 to both sides.
\(18 + 4x = - 5x\)
Subtract 4x from both sides.
\(18 = - 9x\)
Divide by - 9 from both sides.
\( - 2 = x\)
Answer:
x=-2
Step-by-step explanation:
Here you go mate
Step 1
17+4x=-(5x+1) Equation
Step 2
17+4x=-(5x+1) Simplify
4x+17=-5x-1
Step 3
4x+17=-5x-1 Add 5x
9x+17=-1
Step 4
9x+17=-1 Subtract 17
9x=-18
Step 5
9x=-18 Then you divide by 19 and get your answer
answer
-2
Please help Quickly Look At Image.
Answer:
abc- 130
ebd-130
abe-50
Step-by-step explanation:
Justify Step 3 of this Proof
PLS HELP IF YOURE GOOD AT GEOMETRY. 20 POINTS. THANK YOU FOR YOUR ASSISTANCE
The length οf tangent AD is 6x - 3.
What is Geοmetry?In mathematics, geοmetry is the branch οf mathematics cοncerned with the study οf shapes, sizes, relative pοsitiοns οf οbjects, and the prοperties οf space. It includes tοpics such as pοints, lines, angles, planes, curves, and surfaces, amοng οthers.
In a circle, if a tangent and a secant are drawn frοm a pοint οutside the circle, then the length οf the tangent squared is equal tο the prοduct οf the secant's external part and the entire secant. Using this theοrem, we can find the length οf the tangent AD.
AB is the secant and AD is the external part, sο:
\(AD^2 = AB x (AB + BD)\)
We knοw that AB = 4x + 7, and BD = AD - AB = 6x - 3 - (4x + 7) = 2x - 10.
Substituting these values, we get:
\((6x - 3)^2 = (4x + 7) x (4x + 7 + 2x - 10)\)
Expanding and simplifying:
\(36x^2 - 36x + 9 = (6x - 3) x (6x - 3)\)
\(36x^2 - 36x + 9 = 36x^2 - 36x + 9\)
The equatiοn is true fοr all values οf x, sο AD = 6x - 3.
Therefοre, the length οf tangent AD is 6x - 3.
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You live and work in a country that tells you where to work and sets your wage. The goods you produce go to the government, which then sells them in government-run stores. What type of economy do you live in? A. Specialized B. Command C. Free market D. Mixed
The given situation represents the (B) command economy.
What is a command economy?In a planned economy, the production, distribution, and allocation of capital goods all occur in accordance with economic plans that may be economy-wide or specific to a particular class of products and services.
Centralized, decentralized, participative, or Soviet-style economic planning is all possible in a planned economy.
Depending on the precise kind of planning mechanism used, the degree of centralization or decentralization in decision-making and involvement will vary.
Central planning has been utilized in socialist regimes built on the Soviet model, however, some, like the former Socialist Federal Republic of Yugoslavia, have embraced some kind of market socialism.
Therefore, the given situation represents the (B) command economy.
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HEELLLPPPPPP what’s the answer????????????????????????? HEELLLLLLLPPPPPPPPPPPPPP
Answer:
(-2,-2)
Step-by-step explanation:
x^2 + y^2 = 9
A circle has an equation of the form
(x-h)^2 + (y-k)^2 = r^2
where the center is at ( h,k) and the radius is r
The circle is centered at (0,0) and has a radius 3
The only point entirely within the circle must have points less than 3
(-2,-2)
determine whether the statement is true or false if f and g are continuous functions f(x) <= g(x) for all x>0 g(x) diverges then f(x) diverges
The statement is false. If we have two continuous functions, f(x) and g(x), such that f(x) ≤ g(x) for all x > 0, and g(x) diverges, it does not necessarily mean that f(x) diverges.
To understand this, let's first clarify what it means for a function to diverge. A function is said to diverge if its values become unbounded as x approaches a particular point or as x approaches infinity.
Now, since f(x) ≤ g(x) for all x > 0, we know that f(x) is always less than or equal to g(x) for any positive value of x. Therefore, if g(x) diverges, it implies that g(x) becomes unbounded as x approaches a specific point or as x approaches infinity.
However, this information alone does not provide any direct information about the behavior of f(x). It is possible that f(x) also diverges, but it can also be bounded or converge to a finite value as x approaches the same point or infinity.
For example, consider the functions f(x) = 1/x and g(x) = 2/x. Both functions are continuous for x > 0. It is clear that f(x) ≤ g(x) for all x > 0. However, g(x) diverges as x approaches 0 because it becomes unbounded. On the other hand, f(x) converges to 0 as x approaches infinity, which means it does not diverge.
In conclusion, the fact that f(x) ≤ g(x) and g(x) diverges does not provide sufficient information to determine whether f(x) diverges. The behavior of f(x) can vary independently, and it can either diverge, converge, or be bounded, depending on its own specific characteristics.
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A 675-meter bike trail passes through forest and meadows. There are six legs of the trail that cut through meadows: two legs measure
meters, three legs measure 52.25 meters, and one leg measures 32 meters. The rest of the trail passes through forest. How many meters of the trail pass through the forest?
Answer: 351.25 meters
Therefore, The Length of the trail that Passes Through the Forest is:
675 - (2 * 45 + 3 * 52.25 + 32) = 351.25 meters
Step-by-step explanation:
Make A PLAN:
Calculate the total length of the trail that passes through the meadows and subtract the full length of the path to find the size that passes through the forest:
SOLVE THE PROBLEM:
1) - Calculate the total length of the trail that passes through the meadows:
2 * 45 + 3 * 52.25 + 32
2) - Subtract the total length of meadows from the total length of the trail:
675 - (2 * 45 + 3 * 52.25 + 32)
Draw the conclusion:Therefore, The Length of the trail that Passes Through the Forest is:
675 - (2 * 45 + 3 * 52.25 + 32) = 351.25 meters.
I hope this helps!
A mailing supply company produces yellow mailing envelopes. The envelopes come in
a variety of sizes, but the length is always 4 centimeters more than double the width.
Write an equation to find the dimensions of an envelope that has a perimeter of 26
centimeters.
Answer:
Step-by-step explanation:
L=2W+4
P=2(L+W), using L from above makes this
P=2(2W+4+W)
P=2(3W+4)
P=6W+8
6W=P-8
W=(P-8)/6, since we are told P=26
W=(26-8)/6
W=18/6
W=3 cm, and since L=2W+4
L=2(3)+4
L=6+4
L=10 cm
So the dimensions of the envelope with a perimeter of 26cm is 3cm by 10cm
Round 259.98991 to the nearest hundredth.
259.99
259.990
259.9899
260.00001
1) What is the sum of
\( \frac{1}{3} + \frac{3}4\)
A)
\( \frac{4}{7} \)
B)
\( \frac{1}{4} \)
C)
\(1 \times \frac{1}{12} \)
D)
\(1 \times \frac{1}{7} \)
Answer:
I believe its C 1 x 1/12. Hope this helps
Step-by-step explanation:
Which expression is in the simplest form
Answer:
The Correct answer is A
2x²√7y
write an EQUATION that represents what is seen in the figure and then find the value of x.