Answer:
12.5 cm
Step-by-step explanation:
Find the height of a prism in the following way:
height = Volume divided by Area of cross section.
Substitute the values and so you have:
1500 divided by 120 = 12.5
Sketch the line 4x+3y=11
sketch of the line 4x + 3y = 11, slope (-4/3), y-intercept of the line y = 11/3
Step 1: Convert the equation to slope-intercept form (y = mx + b) by solving for y:
3y = -4x + 11
y = (-4/3)x + 11/3
Step 2: Identify the slope and y-intercept:
From the equation in slope-intercept form, we can see that the slope (m) is -4/3 and the y-intercept (b) is 11/3.
Step 3: Plot the y-intercept:
On the y-axis, mark a point at y = 11/3 (approximately 3.67). This is the y-intercept of the line.
Step 4: Use the slope to find additional points:
Using the slope of -4/3, we can find other points on the line. The slope represents the change in y for every 1 unit change in x. So, starting from the y-intercept, we can move down 4 units and to the right 3 units to find the next point, and continue this pattern to find more points.
Step 5: Connect the points:
Once you have a few points on the line, you can connect them with a straight line. Make sure the line extends beyond the plotted points to show that it continues indefinitely.
The resulting line should have a negative slope (-4/3) and be slanting downward from left to right.
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Write the number 68,000 in scientific notation.
Answer: 6.8 x 10 to the 4th power
Step-by-step explanation:
Step 1 To find a, take the number and move a decimal place to the right one position.
Step 2 Now, to find b, count how many places to the right of the decimal.
Step 3 Building upon what we know above, we can now reconstruct the number into scientific notation. Remember, the notation is: a x 10b
Step 4 Check your work
brainliest plz? tysm!!
11 times the product of 19 and a number g?
11 times the product of 19 and a number g?
11*(19g)
= 209g
alfred and bonnie play a game in which they take turns tossing a fair coin. the winner of a game is the first person to obtain a head. alfred and bonnie play this game several times with the stipulation that the loser of a game goes first in the next game. suppose that alfred goes first in the first game, and that the probability that he wins the sixth game is m n , where m and n are relatively prime positive integers. what are the last three digits of m n ? (1993,
So, the last three digits of m*n is 001.
Let p be the probability that Alfred wins given that he goes first. Then, the probability that Bonnie wins given that she goes first is 1-p. Therefore, the probability that Alfred wins the second game given that Bonnie went first in the first game is 1-p. Similarly, the probability that Alfred wins the third game given that he went first in the second game is p, and so on.
Therefore, the probability that Alfred wins the sixth game given that he went first in the first game is:
p(1-p)(1-p)(p)(p)(p) = p^4 (1-p)^2
Since m and n are relatively prime, the last three digits of m*n are the last three digits of p^4 * (1-p)^2, which is the last three digits of p^4 and the last three digits of (1-p)^2. Since p is the probability of winning given that you go first, it is a number between 0 and 1. Therefore, the last three digits of p^4 and (1-p)^2 are 001, resulting in the last three digits of the final answer being 001.
Therefore, the last three digits of m*n is 001.
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A
Р
B
3. What is the measure of ZAOB?
(A) 60
(B) 120
(C) 160
(D) 180
(E) 210
I
Answer:
d is your answer
Step-by-step explanation:
because ii need points thanks
12. Why is the Yellow River also known as "China's Sorrow?"
A. There have been many devastating floods on its banks.
B. Many ancient Chinese were killed by the Mongols there.
C. Many ancient Chinese were killed in a major battle there.
1. D. Many people drowned in the river.
Answer:
A
Step-by-step explanation:
;)
Determine whether the graph of the quadratic function y = –x2 – 10x + 1 opens upward or downward. Explain.
a. Because a > 0, the parabola opens downward.
b. Because a < 0, the parabola opens upward.
c. Because a < 0, the parabola opens downward.
d. Because a > 0, the parabola opens upward.
The correct answer is option (c). The graph of the quadratic function y = \(-x^2 - 10x + 1\) opens downward.
In a quadratic function in the form y = \(ax^2 + bx + c\), the coefficient 'a' determines the direction of the parabola.
If 'a' is positive, the parabola opens upward, and if 'a' is negative, the parabola opens downward.
In the given function y = \(-x^2 - 10x + 1,\) the coefficient of the \(x^{2}\) term is -1, which is negative. Therefore, option (c) is correct, stating that the parabola opens downward.
The negative value of 'a' causes the quadratic term to have a negative coefficient, leading to a concave shape that opens downward. This means that the vertex of the parabola represents the maximum point on the graph.
By determining the sign of 'a', we can quickly determine the direction in which the graph of a quadratic function opens. In this case, since 'a' is negative, the parabola opens downward.
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In order to make a profit, a retailer will mark up the cost of an item. If the cost of the item is $42 but it is sold for
$89, what is the mark up rate for the item?
Round your answer to the whole percent.
Which is the better value 27$ for 4 large pizzas or 32$ for 5 late pizza
The better value is $27 for 4 large pizzas.
To compare the value, we need to calculate the cost per pizza for each offer:
For the first offer, $27 for 4 large pizzas:
Cost per pizza = $27 / 4 = $6.75
For the second offer, $32 for 5 late pizzas:
Cost per pizza = $32 / 5 = $6.40
Comparing the two, we can see that the cost per pizza for the first offer is $6.75, while the cost per pizza for the second offer is $6.40. Therefore, the first offer of $27 for 4 large pizzas provides a better value, as each pizza costs slightly less compared to the second offer.
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2 pounds 13 ounces = how many ounces? *
Please help i will give brainliest :P
Answer:
45 ounces
Step-by-step explanation:
Answer:
45 ounces
Step-by-step explanation:
Each pound is 16 ounces so
2 pounds = 32 ounces
32 + 13 = 45
In space, how many planes can be perpendicular to a given line at a given point on that line in space?
A. 1
B.0
C. 3
D. infinitely many
In space, there can be infinitely many planes that are perpendicular to a given line at a given point on that line.
The correct answer is Option D.
The key concept here is that a plane is defined by having at least three non-collinear points.
When a line is given, we can choose any two points on that line, and then construct a plane that contains both the line and those two points. By doing so, we ensure that the plane is perpendicular to the given line at the chosen point.
Since we can select an infinite number of points on the given line, we can construct an infinite number of planes that are perpendicular to the line at various points.
Thus, the correct answer is D. infinitely many planes can be perpendicular to a given line at a given point in space.
The correct answer is Option D.
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Chris signed-up for an experiment. The experimenter indicated that Chris would be placed into a group with nineteen other students based on a random number Chris received from the experimenter. The experimenter was most likely conducting ________________________-.
The experimenter was most likely conducting a randomized controlled trial, also known as a randomized experiment.
In this type of experiment, participants are randomly assigned to different groups, such as an experimental group or a control group, to ensure that any observed effects can be attributed to the intervention being tested rather than other factors.
In this case, the experimenter is using a random number to assign Chris to a group with nineteen other students, which suggests that there may be multiple groups involved in the experiment. This type of design is often used in scientific research to test the effectiveness of a new treatment, intervention, or program.
Randomized controlled trials are considered the gold standard in research design because they provide strong evidence for causal relationships between variables. By randomly assigning participants to different groups, researchers can control for confounding variables and ensure that any observed differences between groups are due to the intervention being tested.
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Find the coordinates of the triangle after the transformations. Translate the triangle 1 unit right and 5 units down. Then reflect the triangle in the y-axis.
The coordinates of the sequence of transformations is R' (3, -4), S' (3, -1) and T' (1, -4)
How to determine the image of the transformation?The complete question is added as an attachment
The coordinates of the triangle are given as
R = (-4, 1)
S = (-4, 4)
T = (-2, 1)
The sequence of transformations is given as
Translate the triangle 1 unit right and 5 units down. Reflect the triangle in the y-axis.The rules of the above sequence of transformations are
Translate the triangle 1 unit right and 5 units down: (x + 1, y - 5)Reflect the triangle in the y-axis: (-x, y)When the above transformations are combined, we have
(x, y) = (-x - 1, y - 5)
So, we have
R' = (4 - 1, 1 - 5) = (3, -4)
S' = (4 - 1, 4 - 5) = (3, -1)
T = (2 - 1, 1 - 5) = (1, -4)
Hence, the image of the sequence of transformations is R' (3, -4), S' (3, -1) and T' (1, -4)
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If each unit repreent 2 mile, what i the ditance between Sebatian' houe and Ulye' houe?
Answer:
ill answer the best i can, take the number of units given to you, and multiply them by 2, you can use a calculator for that. good luck!
Step-by-step explanation:
Find the annual premium
Answer: none
Step-by-step explanation: i may be wrong, hope its wright, and hope it helps
A triangle has one angle that measures 5º more than twice the smallest angle, and the largest angle
measures 11° less than 3 times the measure of the smallest angle. Find the measures of the three angles.
Answer:
A = 82, B = 67 and C = 31
Step-by-step explanation:
Let the angles in the given triangle be;
A, B and C;
A is the largest angle and C is the smallest angle;
B = 5 + 2C ------ i
A = 3C - 11 ------ ii
A+ B + C = 180° ----- iii
Now, if we add equation i and ii;
A + B = 5+2C + 3C - 11
A+B = 5C - 6 ----- iv
Now insert equation iv into iii;
5C -6 + C = 180
6C = 180 + 6
6C = 186
C = 31
A = 3C - 11 = 3(31) - 11 = 93 - 11 = 82
B = 5 + 2C = 5 + 2(31) = 67
A = 82, B = 67 and C = 31
Which is an equivalent equation solved for the slope m?
6. Write an equation for word problem and
solve.
All 26 members of choir went on a field trip to
see a musical. The cost for all the tickets
was $227.50. What was the cost per ticket?
Answer:
divide 227.50 by 26
Step-by-step explanation:
8.75
Amir notices that 3 out of every 50 cars that pass by his window
are green. If he observes 400 cars, what is the best estimate for how
many of them will be green?
Answer:
24 cars are green
Step-by-step explanation:
We know
Amir notices that 3 out of every 50 cars that pass by his window are green.
So, the ratio is 3:47
To get from 50 to 400, we time 8.
If he observes 400 cars, what is the best estimate of how many will be green?
We take
3 x 8 = 24 cars are green
So, there will be 24 cars that are green.
plS HELPPPP BRAINLIESTT IF GOOD
Answer:
D. r=-1 is the correlation coefficient
Heeelp meeee :))))))
Answer:
C) y = 2x
Step-by-step explanation:
That's the only equation that if x = 0, y will = 0
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
A
y = x + 1 ← has a y- intercept of 1
B
y = x - 1 ← has a y-intercept of - 1
C
y = 2x ← has a y- intercept of 0
D
y = 2x + 2 ← has a y- intercept of 2
Thus y = 2x passes through the origin → C
write a boolean expression that is true if the value of x is equal to zero.
On solving the provided question, we can say that The expression will be
x=int(input('Enter the number'));
if x == 0:
#returns
True if x==0
print ('True')
What is expression ?In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted.
As Boolean expression :- x == 0
When x is 0, the expression becomes 0==0. Left and right values are the same. Hence , the boolean expression becomes true.
When x is 1 then expression becomes 1==0. Left and right values are not the same. Hence , the boolean expression becomes false.
The expression will be
x=int(input('Enter the number'));
if x == 0:
#returns
True if x==0
print ('True')
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Find the perimeter of the shape in the image
A) 8cm
B) 12cm
C) 16cm
D) 20cm
Answer:
C. 16 cm
Step-by-step explanation:
Top side: 2 + 4 = 6
Right side: 1 + 1 = 2
Bottom: 2 + 4 = 6
Left side: 1 + 1 = 2
6+6+2+2 = 16 cm.
Ryan works for a delivery service. The function f(n) is used to calculate
his daily pay, in dollars, on a day when he makes deliveries.
f(n)=6n+85
Use the function to fill in the blanks the table shown. Make sure you
have an answer for Blank A, Blank B, and Blank C
Answer:
0=85
4=109
10=145
the answers are Blank A=85,Blank B=109 and Blank C= 10
9e + 4=5e + 14 + 13e
Answer:
e = -1
Step-by-step explanation:
1. 9e + 4 = 5e + 14 + 14e
2. 9e = 5e + 10 + 14e
3. 9e = 19e +10
4. -10e = 10
5. e = -1
Hope that helps
Answer:
e - 10
Step-by-step explanation:
1.) We need to manipulate the equation to get e by itself.
2.) To solve the equation, do the following steps;
9e + 4 = −5e + 14 + 13e
9e + 4 = 14 + 8e (Combine like terms)
9e + 4 − 8e = 14 + 8e − 8e (Subtract 8e from each side)
e + 4 = 14 (Combine like terms)
e + 4 - 4 = 14 - 4 (Subtract 4 from each side)
e = 10 (Combine like terms.
3.) Answer: e = 10.
Now lets check our work. To check your work, do the following steps;
9e + 4 = −5e + 14 + 13e
9e + 4 = 14 + 8e
9(10) + 4 = 14 + 8(10)
90 + 4 = 14 + 80
94 = 94
By doing those steps we can confirm the answer, e = 10, is true.
What is the effective annual rate for 18 percent compounded semi-annually? a. 9.00% b. 19.25% c. None of the listed items is correct d. 39.24% e. 18.81%
The correct answer is b. 19.25%.The effective annual rate (EAR) is the annual interest rate that accounts for compounding effects.
To calculate the EAR, we use the formula: EAR = (1 + i/n)^n - 1, where i is the nominal interest rate and n is the number of compounding periods per year. In this case, the nominal interest rate is 18% and it is compounded semi-annually, which means there are two compounding periods per year. Substituting these values into the formula, we get: EAR = (1 + 0.18/2)^2 - 1 = 0.1925, or 19.25%.
Therefore, the correct answer is b. 19.25%. This represents the effective annual rate for an 18% nominal interest rate compounded semi-annually, taking into account the compounding effects over the course of a year.
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PLEASE PLEASE HELP ME I WILL MARK BRAINLIEST
Answer:
a) x = 2 b) y = 5
Step-by-step explanation:
For a)
NOTE: Since line EC bisects angle FEG, it will be divided into 2 equal parts
angle FEG = 58
angle FEC = 11x + 7
angle CEG = 11x + 7
So:
58 = (11x + 7) + (11x + 7)
58 - 7 - 7 = 11x + 11x
44 = 22x
x = 2
For b)
angle AED = 16y + 10
angle AED = 90°
90 = 16y + 10
90-10 = 16y
y = 80/16
y = 5
A growing community increases its consumption of electricity per yr.
(a) If the community uses 1.1 billion units of electricity now, how much will it use from now? Round to the nearest tenth.
(b) Find the number of years (to the nearest year) it will take for the consumption to double.
(a) The community will use approximately 1.21449 billion units of electricity 5 years from now.
(b) It will take approximately 35 years for the consumption to double.
(a) To calculate the electricity consumption of the community 5 years from now, we need to apply the annual growth rate of 2% to the current consumption of 1.1 billion units.
The formula to calculate the future value with a constant growth rate is:
Future Value = Present Value * (1 + Growth Rate/100)^Number of Years
Let's calculate the future value:
Future Value = 1.1 billion * (1 + 2/100)⁵
Future Value = 1.1 billion * (1.02)⁵
Future Value ≈ 1.1 billion * 1.10408
Future Value ≈ 1.21449 billion
Therefore, the community will use approximately 1.21449 billion units of electricity 5 years from now.
(b) To find the number of years it will take for the consumption to double, we need to determine the time it takes for the initial consumption to increase by 100% or multiply by 2.
Let's set up the equation:
Future Value = Present Value * (1 + Growth Rate/100)^Number of Years
2 * Present Value = Present Value * (1 + 2/100)^Number of Years
Dividing both sides by Present Value:
2 = (1 + 2/100)^Number of Years
Taking the natural logarithm of both sides:
ln(2) = Number of Years * ln(1 + 2/100)
Number of Years = ln(2) / ln(1 + 2/100)
Using a calculator, we can determine the approximate value of Number of Years:
Number of Years ≈ 34.66
Therefore, it will take approximately 34.66 years for the consumption to double. Rounded to the nearest year, it will take about 35 years.
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The ______ mean is the best estimate of next year's return. multiple choice question. the average of the arithmetic and geometric mean arithmetic geometric
The (B) arithmetic mean is the best estimate of next year's return.
What is the arithmetic mean?The arithmetic mean or arithmetic average, or simply the mean or the average (where the context is obvious), is the sum of a set of numbers divided by the number of numbers in the set. The collection is typically a set of results from an experiment or observational research, or a group of survey results. In some instances in mathematics and statistics, the word "arithmetic mean" is favored since it distinguishes it from other means such as the geometric mean and the harmonic mean. The arithmetic mean is the most accurate predictor of next year's return.Therefore, the (B) arithmetic mean is the best estimate of next year's return.
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The correct question is shown below:
The ______ mean is the best estimate of next year's return. multiple choice question.
(A) the average of the arithmetic and geometric mean
(B) arithmetic
(C) geometric
Out of the 50 people interviewed 6 people said Spider-Man was their favorite super hero, What percent of people said that Spider-Man was their favorite superhero?
Favorite Superhero
IronMan
Spider-Man
The Hulk
Batman
Superman
Thor
Answer:
Twelve percent.
Step-by-step explanation:
6:50 x 2 = 12:100 or 12%. Hope this helps!