Answer:
same: 30×40 = 1200different: 20×50 = 1000Step-by-step explanation:
Same: 30×40 = 1200 . . . . . 2 zeros in the factors; 2 in the product
Different: 20×50 = 1000 . . . 2 zeros in the factors; 3 in the product
__
Same: 0.3×0.4 = 0.12 . . . . no zeros in the factors; no zeros in the product
Different: 0.2×0.4 = 0.08 . . . no zeros in the factors; 1 zero in the product after the decimal point
_____
For a product, the number of zeros will be different if the combined factors of the numbers increase the number of factors of 10 beyond the sum of the factors of 10 of the numbers being multiplied.
Example: neither 2 nor 5 has a factor of 10, but their product does.
__
For a product that is a decimal fraction, the number of leading zeros will increase if the product of the mantissas of the numbers is less than 10. The number of trailing zeros will increase under the conditions discussed above. (0.25×0.4 = 0.100)
_____
Additional comment
Here, the term "mantissa" is used to refer to the portion of the number written in scientific notation that multiplies the power of 10.
Suppose Derrick is an insect enthusiast who measured the body length and weight of three insects in his backyard. His data are shown in the table.
Answer:
Step-by-step explanation:
Please Help! I need Help fast! Brailnest!! Sorry in the picture you can kinda see Sasuke's head lol. But its Multiple choice please help!
Answer:
D
each hour goes up by $25
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?
Chay can use 3 bags of mulch per flower bed.
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.
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To estimate 179% of 41 by rounding, use the expression
.
Using the distributive property, the expression is equivalent to
.
179% of 41 is about
The estimate of 179% of 41 by rounding is about 73.19.
To find this estimate, first convert the percentage to a decimal by dividing it by 100: 179/100 = 1.79. Then, multiply this decimal by 41: 1.79 * 41 = 73.39.
Since we are rounding, we round this value to the nearest whole number, which is 73. Therefore, the direct answer is 179% of 41 is about 73.When estimating by rounding, we look at the decimal places. In this case, the hundredth place is 3. Since 3 is less than 5, we round down. Hence, the estimate is 73.19. It is important to note that rounding introduces some degree of error, as the actual value is 73.39. However, for most practical purposes, an estimate provides a close approximation that is quick and easy to calculate.For more similar questions on whole number
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what is the volume of the solid?
9514 1404 393
Answer:
(9√3 -3π/2) ft^3 ≈ 10.88 ft^3
Step-by-step explanation:
The area of the hexagon is given by the formula ...
A = (3/2)√3·s^2 . . . . for side length s
The area of the hexagonal face of this solid is ...
A = (3/2)√3·(2 ft)^2 = 6√3 ft^2
__
The area of the circular hole in the hexagonal face is ...
A = πr^2
The radius is half the diameter, so is r = (2 ft)/2 = 1 ft.
A = π(1 ft)^2 = π ft^2
Then the area of the "solid" part of the face of the figure is ...
A = (6√3 -π) ft^2
__
The volume is ...
V = Bh . . . . . where B is the area of the base of the prism, and h is its height
V = ((6√3 -π) ft^2)(3/2 ft) = (9√3 -3π/2) ft^3 ≈ 10.88 ft^3
$100,000 is shared among three friends, Anna, Louise and Lacey in the ratio.7: 10:13 respectively. Calculate the amount each receives.
Answer:
Step-by-step explanation:
Set up an equation:
7x + 10x + 13x = 100000 and solve for x:
30x = 100000 so
x = 3333.33
Anna gets 7(3333.33) = 23333.31
Louise gets 10(3333.33) = 33333.33
Lacey gets 13(3333.33) = 43333.29
Find the surface area of the figure below. Round to the nearest 10th.
The surface area of the given composite figure is: 484.38 cm²
How to find the surface Area?The formula for the area of a rectangle is:
Area = Length * Width
The formula for the area of a square is:
Area = side * side
The surface area is simply the area of each of the surfaces of the figure.
Thus, surface area of the given composite figure is:
4(13 * 10) + (10 * 10) + (10 * 10) - 3π(5²))
= 484.38 cm²
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Imogen sees a design for a garden in a magazine. She changes the scale because she’s wants a smaller garden. The figure below shows both scales and a scale drawing of the yard. Which states about the gardens are true? Select three options
Answer:
Length A of the magazine garden is 28 feet is true.
Length B of the Magazine garden is 17.5 feet is true.
Length C of the Magazine garden is 35 feet is true.
Step-by-step explanation: I took the
Edgen quiz
Directions: Sketch a graph to match each of the following stories. Label key features of your graph
A graph is a way to represent a lot of data in such a visual format. The graph for the given situation can be drawn as shown below.
What is a graph?A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
The graph for the given situation can be drawn as shown below.
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What is an example of a quadrilateral?
QUICK! 40 points. Consider this cone with the diameter measure of 17 inches.
A cone with diameter 17 inches and slant height of 22 inches.
What is the surface area of the cone?
SA = Pir2 + Pirl
A. 204Pi in.2
B. 259.25Pi in.2
C. 446.25Pi in.2
D. 663Pi in.2
259.25π in² is the surface area of the cone
The surface area of a cone can be calculated using the formula SA = πr² + πrl
where r is the radius and l is the slant height.
Given that the diameter is 17 inches, the radius (r) is half of the diameter, which is 17/2 = 8.5 inches.
The slant height (l) is given as 22 inches.
Substituting these values into the formula:
Surface Area = π(8.5)² + π(8.5)(22)
= 72.25π + 187π
= 259.25π
Therefore, the surface area of the cone is 259.25π in²
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PLS HELP I WILL MARK BRAINILEST
Answer:
Let's assume the original price of the stock was x.
When the company announced it overestimated demand, the stock price fell by 40%.
So, the new price of the stock after the first decline was:
x - 0.4x = 0.6x
A few weeks later, when the seats were recalled, the stock price fell again by 60% from the new lower price of 0.6x.
So, the new price of the stock after the second decline was:
0.6x - 0.6(0.6x) = 0.24x
Given that the current stock price is $2.40, we can set up the equation:
0.24x = 2.40
Solving for x, we get:
x = 10
Therefore, the stock was originally selling for $10.
Four vertices of a rectangle are A(−3, −5) , B(−1, −5) , C(−1, −1) , and D(−3, −1) . Use the Segment tool to draw the four sides of the rectangle.
Answer:
well, I don't have the computer in front me with this question on it, but i can explain how you would do it.
all points, or in this case vertices, are written like this : (x , y)
the x-axis is the one that lies flat and the y-axis is the one going up and down.
in this graph, the y-axis and x-axis are more than likely not centered. so where the y-axis intersects the x-axis is known as the origin. you will start at the origin for plotting all points.
to plot point A : start at the origin and count to the left 3, and then down 5 and thats point A
for point B : start at the origin, count left 1 and then down 5, that's point B
point C : start at the origin, count left 1 and then down 1, that's point C
point D : count left 3 and then down 1, that's point D
after plotting the points, you just need to play "connect the dots" and make the shape a rectangle.
Start at point A, go right point B, up to point C, left to point D then down back to point A again
Step-by-step explanation:
I hope this helps :)
Question
A storage unit is in the shape of a rectangular prism has a volume of 5 440 cubic feet.
The length of the storage is 4 feet more than three times the width w, and the height is
6 feet more than the width.
Find the equation, in terms of w, that could be used to find the dimensions of the
storage unit in feet. Your answer should be in the form of a polynomial equals a
constant.
Provide your answer below:
Here, we are required to find the equation, in terms of w, that could be used to find the dimensions of the storage unit in feet.
The polynomial is;. 3w³ + 22w + 24w = 5440ft³.
From the question;
Let the width = wlength, l = 3w + 4height, h = w + 6The volume of a rectangular prism is given by the product of its length, width and height. Thus;
Volume = l × w × h
Therefore, Volume, V = (3w +4) × w × (w +6)
To obtain the required polynomial, we expand the expression for Volume above;
V = (3w² + 4w) × (w + 6)
V = (3w² + 4w) × (w + 6)V = 3w³ + 22w² + 24w.
However, the volume of the rectangular prism has been given to be 5440 cubic feet.
Therefore, the polynomial is;
3w³ + 22w + 24w = 5440ft³.
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Answer:
3w^3+22w^2+24w=5440
Step-by-step explanation:
The length and height are given in terms of the width. Width =w; Length =(3w+4); Height =(w+6); and the Volume is equal to the product of the three. Therefore, we can set up the equation as follows:
w×(3w+4)×(w+6)=5440
To finish, we distribute and combine like terms:
(3w2+4w)×(w+6)=54403w3+18w2+4w2+24w=54402w3−9w2+10w=528
Therefore, 3w3+22w2+24w=5440 is our equation for the dimensions of the storage unit in terms of w.
Cuanto mide el largo de un rectángulo cuyo perímetro es 16cm y su área 12 cm al cuadrado ?
Simplify the variable expression by evaluating its numerical part, and enter
your answer below.
(48-17) - w
Answer here
SUBMIY
The simplified version of the expression would be 31-w
The numerical part of the expression given is :
48-17Simplifying using Subtraction operation:
48-17 = 31Adding the alphabetical part :
31 - wTherefore, the simplified form of the expression is 31-w.
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A jar contains 20 yellow jellybeans, 20 orange jellybeans, 20 red jellybeans and 20 green jellybeans.
Required:
a. In how many ways can you put all the jellybeans in a row?
b. How many ways are there to select a handful of 20 jellybeans?
c. How many ways are there to select a handful of 20 jellybeans that contains at least 3 red?
d. How many ways are there to select a handful of 20 jellybeans that contains at least 3 red and at most 2 orange?
Answer:
A)
\(\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}\)
B)
\(\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}\)
C)
= \(\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}\)
D)
= \(\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}\)
Step-by-step explanation:
A) How many ways can you put all Jellybeans in a row
Total number of Jellybeans = 80
The first jellybeans = 20 yellow , second is 20 orange jellybeans , third is 20 red jellybeans , fourth is 20 green jellybeans
Therefore the number of ways the Jellybeans can be put in a row is :
\(\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}\)
B) How many ways are there to select a handful of 20 jellybeans
lets assume:
yellow jellybeans = a , orange jellybeans = b , red jellybeans = c , green jellybeans = d
a + b + c + d = 20
This is the number Non-negative integer solutions
= \(\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}\)
C) This is also the number of Non-negative integer solutions but in this case the value of C ≥ 3
hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red
= \(\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}\)
D) In this case the value of C ≥ 3 and B ≤ 2
Hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red and at most 2 orange
= \(\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}\)
Placebos are used so that even the people who do not receive a treatment can benefit from the study. ? 2. Controlled experiments can be randomized or nonrandomized. ? 3. A well-designed placebo allows an experiment to be conducted blind. ? 4. Placebos are used to randomly assign participants to treatment or control ? 5. Using a random chance procedure to assign subjects to treatment or control reduces bias ? 6. A placebo is used in all controlled experiments. ? 7. In a blind experiment, the subjects do not know whether they are in the treatment group or control group. ? 8. In an observational study, the investigators assign the subjects to treatment or control
Answer:
1. Placebos are used to randomly assign participants to treatment or control ?
False.
2. Using a random chance procedure to assign subjects to treatment or control reduces bias ?
True.
3. A well-designed placebo allows an experiment to be conducted blind. ?
False.
4. In an observational study, the investigators assign the subjects to treatment or control. ?
False.
5. In a blind experiment, the subjects do not know whether they are in the treatment group or control group. ?
True.
6. Placebos are used so that even the people who do not receive a treatment can benefit from the study. ?
True.
7. A placebo is used in all controlled experiments. ?
True.
8. Controlled experiments can be randomized or nonrandomized.
True.
Step-by-step explanation:
Placebos are not techniques for conducting experiments. They are devices or drugs used when conducting a controlled study or research involving the administering of items to two different groups, such that one group gets the real item while the other group gets another item that is made to look like the real item without the participants knowing the difference. The purpose is to enable the results from the control group to be compared to the results of a treatment group. Randomization is the process used to assign subjects to treatment or control groups in order to reduce bias.
A researcher was interested in the impact of listening to different types of music on learning. She designed an extensive maze for rats and after she taught rats how to get through the maze, she randomly assigned each rat to run the maze while (a) listening to classical music, (b) listening to heavy metal music, or (c) in a quiet room (i.e., no music). The researcher measured the amount of time it took each rat to get through the maze and the number of errors made.
a. Independent Variable ? _________________ What are the levels? ________________________________
b. Dependent Variable ? _____________________________
c. What might be an extraneous variable?: ___________________________________
d. Control group? _________________ Experimental Group(s)?____________________
a.) The independent variable is the different types of music
b.) The dependent variable is the impact of listening felt by the rats
c.)An extraneous variable is the length of the maze.
d.) The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.
What is an independent and dependent variables?An independent variable is defined as the type of variable that cannot be manipulated by a researcher and isn't affected by what is being measured.
A dependent variable is the variable that can be manipulated by a researcher and is affected by what is being measured.
For question a.)
The independent variable is the different types of music
For question b.)
The dependent variable is the impact of listening felt by the rats
For question c.)
An extraneous variable is the length of the maze.
For question d.)
The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.
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Determine if two triangles are congruent if they are state how you know
Two triangles can be proved congruent by using Side-Side-Side, Side-Angle-Side, Angle-Side-Angle, Angle-Angle-Side, Hypotenuse-Leg.
What are congruent triangles?
Congruent triangles are two triangles that have the same size and shape. In other words, all corresponding sides and angles of the triangles are equal. When two triangles are congruent, they can be superimposed on top of each other to completely match each other.
Two triangles are congruent if they have exactly the same three sides and exactly the same three angles. This can be determined using the following criteria:
Side-Side-Side (SSS) Congruence: If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.
Side-Angle-Side (SAS) Congruence: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.
Angle-Side-Angle (ASA) Congruence: If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.
Angle-Angle-Side (AAS) Congruence: If two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.
Hypotenuse-Leg (HL) Congruence: If the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.
Hence, two triangles can be proved congruent by using Side-Side-Side, Side-Angle-Side, Angle-Side-Angle, Angle-Angle-Side, Hypotenuse-Leg.
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Brianbought some T-shirts and spent a total of $30. each t-shirt cost the same whole dollar amount. how many t-shirts could Brian have bought?
Given:
The cost of the total T-shirts = $30
each t-shirt cost the same whole dollar amount.
So, we need to factor the number 30
\(\begin{gathered} 30=1\times30 \\ 30=2\times15 \\ 30=3\times10 \\ 30=5\times6 \end{gathered}\)So, the possible number of T-shirts are:
\(1,2,3,5,6,10,15,30\)
What is the value of c?
a)4 units
b)5 units
c)6 units
d)7 units
The value of c in the triangle is (b) 5 units
Finding the value of c in the triangleFrom the question, we have the following parameters that can be used in our computation:
The right triangle
The length c is the hypotenuse of one of the triangles and can be calculated using the following Pythagoras theorem
c² = sum of squares of the legs
Using the above as a guide, we have the following:
c² = 3² + 4²
Evaluate
c² = 25
Take the square roots
c = 5
Hence, the hypotenuse of the right triangle is 5
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someone please answer this its confusing me
1. The value of y varies directly with x. If
x = 13, then y = 65. What is the value of x
when y = 35?
Answer: x=7
Step-by-step explanation:
To find the value of x, we can set a proportion since the problem states that "y varies directly with x".
\(\frac{13}{65} =\frac{x}{35}\)
Here, we see that the x is the numerator and y is the denominator.
\(\frac{13}{65} =\frac{x}{35}\) [cross multiply]
\(455=65x\) [divide both sides by 65]
\(x=7\)
Now, we know that x=7. Logically, we know this is also correct because y=35 is less than y=65. This tells us that x has to be smaller than x=13.
- 8 - 7(2x + 3) = 3(1 - 10) simplified
Consider the problem of finding the shortest path to a destination city from a start city using roads (e.g., traveling from Arad to Bucharest) using A* search. Which of these heuristics are admissible? There could be multiple such heuristics, select all for full credit. Selecting an inadmissible heuristic has a -50% penalty. Select one or more: I a. Manhattan distance ("go first east/west and then north/south") between a city and start city b. Euclidean distance ("as the crow flies") between a city and destination city c. Twice the Euclidean distance ("as the crow flies") between a city and destination city d. heuristic is o for every city e. heuristic is 1 for every city f. Euclidean distance ("as the crow flies") between a city and start city g. Manhattan distance ("go first east/west and then north/south") between a city and destination city
Heuristic is 0 for every city Heuristic is 1 for every city Selecting an inadmissible heuristic has a -50% penalty.
To find the shortest path to a destination city from a start city using roads (e.g., traveling from Arad to Bucharest) using A* search, the following heuristics are admissible:
Manhattan distance ("go first east/west and then north/south") between a city and start city.
Euclidean distance ("as the crow flies") between a city and destination city.
Euclidean distance ("as the crow flies") between a city and start city.
Manhattan distance ("go first east/west and then north/south") between a city and destination city.
The following heuristics are inadmissible:
Twice the Euclidean distance ("as the crow flies") between a city and destination city.
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Write is the simplest form 11 x 9/10
Answer:
\(\displaystyle\frac{99}{10}\)
Step-by-step explanation:
Hi there!
\(11*\displaystyle\frac{9}{10}\)
Multiply:
\(\displaystyle\frac{99}{10}\)
We cannot simplify it any further.
I hope this helps!
A = 2/(sqrt(3) - 1) - sqrt(4 - 2sqrt(3))
Simplify A
The value of A from the method of simplification of surds is:
A = √2 + √12 - 2What is the simplified value of A?The simplified value of A is obtained from the method of simplification of surds.
A = (2/√3 - 1) - √4 - 2√3)
Simplifying A;
A = (2/√2) - (2 - √2)
taking LCM
A = {2 - (2√2 -2√3)(√2)} / √2
A = {2 - 2√2 + 2√6) / √2
rationalizing the denominator
A = (2- 2√2 + 2√6)/√2 * (√2 /√2)
A = (2√2 + 2√12 - 4) / 2
A = √2 + √12 - 2
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4
(Graphing Proportional Relationships LC)
The table shows a proportional relationship.
x 12 8 24
y 3 26
Describe what the graph of the proportional relationship would look like.
O Aline passes through the point (0, 0) and continues through the point (3, 12).
O Aline passes through the point (0, 0) and continues through the point (2,8).
A line passes through the point (0, 0) and continues through the point (6, 24).
A line passes through the point (0, 0) and continues through the point (12, 3).
Question 2(Multiple Choice Worth 2 points)
(Graphing Proportional Relationships MG)
The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)
For the first question:
The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.
The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.
Now, let's analyze the answer options:
A. A line passes through the point (0, 0) and continues through the point (3, 12).
This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.
B. A line passes through the point (0, 0) and continues through the point (2, 8).
This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).
C. A line passes through the point (0, 0) and continues through the point (6, 24).
This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.
D. A line passes through the point (0, 0) and continues through the point (12, 3).
This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).
Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.
For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?
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f(1)=0
f(n)=f(n−1)+2
Answer: f(n) = 2n - 2
Therefore, we can use this formula to find the value of f(n) for any positive integer n.
Step-by-step explanation: Using the given recursive formula:
f(1) = 0
f(n) = f(n-1) + 2
We can find the values of f(n) for different values of n:
f(1) = 0
f(2) = f(1) + 2 = 0 + 2 = 2
f(3) = f(2) + 2 = 2 + 2 = 4
f(4) = f(3) + 2 = 4 + 2 = 6
f(5) = f(4) + 2 = 6 + 2 = 8
And so on.
We can see that each term in the sequence is 2 more than the previous term. So, we can write the general formula for f(n) as:
f(n) = 2n - 2
Therefore, we can use this formula to find the value of f(n) for any positive integer n.