Answer:
20,330
Step-by-step explanation:
214 times 95 is 20,330.
Marcus and Jeremy both evaluated the expression −52 + 3. Marcus said the answer was −22. Jeremy said the answer was 28. Who is correct? Explain the error in the other student’s work.
This question is incomplete because it was not properly written
Complete Question
Marcus and Jeremy both evaluated the expression −(5²) + 3. Marcus said the answer was −22. Jeremy said the answer was 28. Who is correct? Explain the error in the other student’s work.
Answer:
Marcus is right, the answer is -22
Step-by-step explanation:
The expression to simplify is given as
-(5²)+ 3
= -(25) + 3
= - 22
This is the correct answer. Marcus when simplifying his expression took note of the bracket or parentheses sign. This is very important.
Jeremy got 28. His answer is wrong because he squared -5 directly without taking noting that it was in a bracket or parentheses.
Hence this was Jeremy's calculation
-(5²) + 3
= 25 + 3
= 28
Jeremy's answer was wrong. He did not recognize the bracket in his calculation.
Answer:
Marcus is correct and Jeremy is not
Step-by-step explanation:
Jeremy is wrong because he put -5 instead of 5 The negative is not within parentheses.
If tan m = one-half and tan n = â€"6, what is the exact value of tan(m n)?
Since tan m = 1/2 and tan n = -6, the precise value of tan (m+n) will be 3.51.
What is tangent?The tangent of an angle in trigonometry is the ratio of the lengths of the adjacent side to the opposing side. In order for the value of the cosine function to not be 0, it is the ratio of the sine and cosine functions of an acute angle. The law of tangent is another name for tan. The ratio of a triangle's opposing side to its adjacent side is known as the tangent formula for a right-angled triangle. The angle's sine to cosine ratio can also be used to represent the angle.
Here,
tan m= 1/2
tan n= -6
m=tan inverse(1/2)
n=tan inverse(-6)
m=26.565 degrees
n= -80.537 degrees
n=360-80.537
n=279.463 degree
tan (m+n)=tan(26.565+279.463)
tan 306.028=3.51
The exact value of tan (m+n) will be 3.51 as the value of tan m= 1/2 and tan n= -6.
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Write 0.00548 in scientific notation.
Answer: 5.48 × 10^-3.
Step-by-step explanation:
Consider the equation y = negative 2 x + 5. Create a table of five ordered pairs that satify the equation. What is the slope of the line represented by the equation? a. M = 2 b. M = 5 c. M = negative 2 d. M = negative 5.
Answer: C
Step-by-step explanation:
Slope is the number right in front of x, which in this case would be -2. So C is the answer.
Creating a table is hard, so I'll try my best. Just pretend the vertical line is connected.
x|y
0|5
1|3
2|1
3|-1
4|-3
Find the flux through through the boundary of the rectangle 0≤ x ≤ 2, 0 ≤ y ≤ 4 for fluid flowing along the vector field ⟨x^4 + 5,ycos(6x)⟩
The flux through through the boundary of the rectangle is -sin(6x)/6.
According to the statement
we have given that the limits and the equation, and we have to find the flux of the given equation.
For this purpose, we know that the
Flux is a the surface integral of the perpendicular component of a vector field over a surface.
And the given equation is :
x^4 + 5,ycos(6x)
The given limits are:
0≤ x ≤ 2, 0 ≤ y ≤ 4
So, Integrate with the given imits,
\(\int\limits^2_0 \int\limits^4_0 {x^4 + 5,ycos(6x)} \, dx\)
When integrate these terms with dx and dy one by one then the equation become:
For the x:
\(\int\limits^2_0 {x^4 + 5,ycos(6x)} \, dx \\\bracket\limits^2_0 [{\frac{x^5}{5},{-ysin(6x)}}/{6]\)
And then integrate w.r.t the y.
Then the flux through the boundary become:
-sin(6x)/6.
So, The flux through through the boundary of the rectangle is -sin(6x)/6.
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Please help, this is due in 20 minutes!! I would greatly appreciate you if you also provided your work and no links!
A 5.0 µC point charge is moved within an electric field and has an electric potential energy change of 10.0 J. What is the electric potential difference before and after the charge was moved? Show work. (µC = 1.0 × 10–6)
Answer:
Step-by-step explanation:
so
V = energy / q
The potential difference * charge = potential energy change of charge
delta V = 10J/(5*10^-6) = 2*10^6 volts
19. a television set is on sale for 15% off the original price. if the sale is $340, what was the original price of the televisions set?
Using the percentage method, we know that the original price of the TV set was $400.
What is the percentage?Percentages are just fractions with a denominator of 100.
To show that a number is a percentage, we place the percent sign (%) next to it.
For instance, if you properly answered 75 out of 100 questions on a test, you would have received a 75% grade (75/100).
So, we know that the percentage is always out of 100.
Then we automatically know that:
100% - 15% = 85%
We know:
85% = $340
15% = ?
Now, calculate the reduced price as follows:
85/340 = 15/x
85x = 15(340)
85x = 5,100
x = 5100/85
x = $60
Original price of the TV set:
Sold cost + Reduced cost
$340 + $60
$400
Therefore, using the percentage method, we know that the original price of the TV set was $400.
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Please please please help
Answer:r=14°
Step-by-step explanation:
(5r-5)°+ (8r+3)°=180
(Sum of angles on a straight line =180°)
Collect like terms
5r+8r-5+3=180
13r-2=180
13r=180+2
13r=182
r=182/13
r=14°
a poll shows that 70\p% of all voters approve of the mayor's work. on three separate occasions a pollster selects a voter at random. what is the probability that on exactly one of these three occasions the voter approves of the mayor's work?
The chance that the voter will endorse the mayor's work on one of these three occasions is 0.189.
Given that,
Considering that 70% of voters support the mayor's efforts, 30% of voters oppose those efforts.
Formula for the binomial distribution
\(nCx. p^{x}.(1-p)^{n-x}\)
We find the number of ways only 1 person approves nCx of the mayor multiplied by the probability 1 person approves P^x and 2 people disapprove (1-p)^{n-x}
Only one person approves of in how many ways is
= nCx. p^{x}.(1-p)^{n-x}
= 3C1. 7^1.(1-7)^(3-1)
By solving we get,
= 0.189
Hence, the probability that on exactly one of these three occasions the voter approves of the mayor's work is 0.189
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You have a money jar containing nickles and quarters worth $1.55. The money jar contains 11 coins. How many of each coin do you have? HELP
Answer:
6 quarters and 1 nickel
Step-by-step explanation:
6 quarters each worth 25 cents adding up to 1.50$ and then one nickel adding on .05 $ to get you too 1.55$
Answer:
6 nickels ($0.30)
5 quarters ($1.25)
Step-by-step explanation:
Please help me!! Will give brainliest
Which statement correctly compares the centers of the distributions?
A. The median penguin heights are the same.
B. The range of penguin heights is greater at Cityview Zoo than at
Countvside Zoo.
C. The median penguin height is greater at Cityview Zoo than at
Countside Zoo
D. The median penguin height is greater at Countyside Zoo than at
Cityview Zoo
Answer: C
Step-by-step explanation:
Median is the middle number out of the distribution. Cancel out the numbers at each end of the distribution until you get the median number. You will get 42 cm for Cityview and 40 cm for Countryside, thus making C correct.
Example problem: Name thex and y intercepts for y=-2x + 1
x-intercept 0= -2x +1 y intercept y = -2(0)+1
-1 = -2x
y= 1
0.5 = x
Find the x and y intercepts for y = 8x-4
O x=8, y = 4
x = 0.5, y = -4
O x=2,y=-4
O x= -4, y = 8
Step-by-step explanation:
for x=8,y=4
4=8x-4
8x=4+4
8x=8
x=1
y=8 (8)-4
y=64-4
y=60
for x=0.5, y= -4
-4=8x-4
8x= -4+4
8x=0
x=0
y=8 (0.5)-4
y=4-4
y=0
for x=2,y=-4
-4=8x-4
8x=4-4
8x=0
x=0
y=8 (2)-4
y=16-4
y=12
for x= -4,y=8
8=8x-4
8x=8+4
8x=12
x=1.5
y=8 (-4)-4
y= -32-4
y= -36
answer choices:
37
74
16
20
Answer:
∠ BDC = 37°
Step-by-step explanation:
the central angle BAC is twice the angle on the circumference subtended on the same arc.
∠ BDC = \(\frac{1}{2}\) ∠ BAC = \(\frac{1}{2}\) × 74° = 37°
what is the answer?
Select all of the statements that are true
Answer:
a and c
Step-by-step explanation:
əz 22. Suppose z= z(x, y) is implicitly determined by ln(x+y+z) = x+2y+3z. Then dy (z.y.a)=(-1,5,-3)
the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).
n the given problem, we have an implicit equation ln(x+y+z) = x+2y+3z that defines z as a function of x and y. We are given the values dy = (-1, 5, -3).
To find the derivative dy/dx, we can use the total derivative formula and apply it to the implicit equation. The total derivative is given by dy/dx = - (∂F/∂x)/(∂F/∂y), where F = ln(x+y+z) - x - 2y - 3z.
Differentiating F partially with respect to x and y, we have (∂F/∂x) = 1/(x+y+z) - 1 and (∂F/∂y) = 1/(x+y+z) - 2.
Plugging in the given values of dy = (-1, 5, -3), we can calculate dy/dx = - (∂F/∂x)/(∂F/∂y) = -(-1)/(5-2) = 1/3.
Therefore, the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).
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explain what is meant by the categories and frequencies. choose the correct answer below.
A: Categories and frequencies refer to the number of times a particular category or group of data appears in a set of data. For example, if a survey asked people to identify their gender, the categories would be male and female and the frequencies would be the number of people who chose each gender.
Categories and frequencies are two elements of data analysis. Categories refer to the different groups or types of data, such as gender, age, or location. The frequency is the number of times a particular category appears in a set of data. For example, in a survey about gender, the categories would be male and female and the frequencies would be the number of people who chose each gender.
Categories and frequencies are two important elements in data analysis. Categories refer to the different groups or types of data, and frequencies refer to the number of times a particular category appears in a set of data. For example, if a survey asked people to identify their gender, the categories would be male and female, and the frequencies would be the number of people who chose each gender. This type of data analysis is useful for understanding the makeup of a population or the distribution of a particular trait. By analyzing categories and frequencies, trends and patterns can be identified, and decisions can be made based on the data.
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Based on the family the graph below belongs to, which equation could represent the graph?
y=2^x+3
y=log(2x)+3
y=2x² +2
y=1/2x+2
help with algebra please
Answer:
b = -0.79
Step-by-step explanation:
b+ 2.77 over -2 = -1.78
multiply -2 on both sides to get
b + 2.77 = -3.56
subtract 2.77 on both sides to get
b = -0.79
I'm not sure as I didn't work it out too well but I hope you got the idea
When the temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 183 cubic inches of a gas at a pressure of 14 pounds per square inch, find the new pressure of the gas if the volume is decreased to 61 cubic inches
Answer:
42 pounds per square inches.
Step-by-step explanation:
The temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas.
⇒ \(V\propto \dfrac{1}{P}\)
or
\(V_1P_1=V_2P_2\)
Volume, V₁ = 183 cubic inches
Pressure, P₁ = 14 pounds/square inch
We need to find the new pressure if the volume is decreased to 61 cubic inches. Let P₂ is new pressure. So,
\(P_2=\dfrac{V_1P_1}{V_2}\\\\P_2=\dfrac{183\times 14}{61}\\\\P_2=42\ \text{pounds per square inch}\)
Hence, the final pressure is 42 pounds per square inches.
What is the approximate value of V7 to the nearest tenth
Answer:
17 i think i dont know if its the right answear
Hi can somebody answer and explain this please
Answer:
[f · g](x) = \(4x^3+4x^2-13x+5\)
Step-by-step explanation:
[f · g](x) = f(x) · g(x)
\(=(2x^2-3x+1)(2x+5)\\\\=(2x^2*2x)+(2x^2*5) + (-3x*2x)+(-3x*5)+(1*2x)+(1*5)\\\\=4x^3+10x^2-6x^2-15x+2x+5\\\\=4x^3+4x^2-13x+5\)
Select the correct answer. Which expression is equivalent to the given expression? Assume the denominator does not equal zero. ((3C^(4)d^(4))/(2d^(9)))^(3) (3d^(4))/(2c^(2)) (27d^(2))/(8c^(2))
(27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression. The correct is option (C).
The given expression is ((3C^(4)d^(4))/(2d^(9)))^(3).
We need to find the expression that is equivalent to the given expression. Here, we will use the properties of exponents to simplify the given expression, and then we will compare it with the expressions .
Let us simplify the given expression.
((3C^(4)d^(4))/(2d^(9)))^(3) = (3C^(4)d^(4)/2d^(9))^(3) = (3/2)(C^(4)d^(4-9))^(3) = (3/2)(C^(4)d^(-5))^(3) = (3/2)C^(4*3)d^(-5*3) = (3/2)C^(12)/d^(15)
Now, we need to compare this expression with the expressions given in the answer choices.
Option (A) (3d^(4))/(2c^(2)) cannot be the equivalent expression because it does not contain C and d terms with the same exponents.
Option (B) (81d^(6))/(8C^(6)) cannot be the equivalent expression because it contains the C term with a different exponent as compared to the given expression.
Option (C) (27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression. Hence, this expression is equivalent to the given expression.
Hence, this expression is equivalent to the given expression .Therefore, the correct is option (C) (27d^(2))/(8c^(2)).
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the area of a triangle is 49.28 square centimetres. if the base of the triangle is 8.8 centimeters, what is the height
Answer:
11.2
Step-by-step explanation:
Find the perimeter of a polygon with vertices at A(0, 1), B(4, 4), C(7, 0), D(3, -3), E(-4, -4). Round your answer to the nearest hundredth.
40.55 units
25.00 units
32.00 units
28.47 units
Answer:
ijjyvb6fgh dd's urzh6eh7rb6e
S=“
T=“
U=“
V= “
Someone please help
consider the quadratic function y equals short dash x squared plus 6 x minus 5. what do we know about the graph of this quadratic equation, based on its formula?
Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.
Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.
First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.
Next, we can find the vertex using the formula:
Vertex = (-b/2a, f(-b/2a))
where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:
Vertex = (-b/2a, f(-b/2a))
= (-6/(2*-1), f(6/(2*-1)))
= (3, -14)
So the vertex of the parabola is at the point (3,-14).
Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.
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give one seggestion to avoid cyber bullying
BEING CAREFUL WHILE USING THE INTERNET
Answer:
Never post personal information Always check the TO: field Don't be gullible Don't respond to an angry message with anger Never open messages from strangers Don't forward chain mails, hoaxes or long emails Use the BCC: field when forwarding messages Proofread your messages Beware of certain topics Don't post anything that is very private
The Shoe Outlet bought boots for $60 and marks up the boots 55% on the selling price. What is the selling price of the boots?
Answer: The markup- 122.225%
Revenue/price- 133.33$
Gross profit- 73.33%
Step-by-step explanation:
The gross profit P is the difference between the cost to make a product C and the selling price or revenue R.
P = R - C
To calculate revenue R based on the cost C and the desired gross margin G, where G is in decimal form:
R = C / ( 1 - G)
The gross profit dollars P is the revenue dollars R from the sale times the gross margin G percentage, where G is in decimal form :
P = R * G
The markup percentage M, in decimal form, is gross profit P divided by cost C.
M = P/ C
M * 100 will change the decimal to a percentage.
The selling price of the boots is $93.
Given information:
The Shoe Outlet purchased the boots for $60 and increased their price by 55%
To calculate the selling price of the boots with a 55% mark-up, to add 55% of the original cost to the original cost.
Calculate the mark-up amount as follows:
Mark-up = 55% of $60
Mark-up = 0.55 * $60
Mark-up = $33
Add the mark-up to the original cost to find the selling price as follows:
Selling Price = Original Cost + Mark-up
Selling Price = $60 + $33
Selling Price = $93
So, the selling price of the boots is $93.
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What is the slope of the line?
Answer:
slope is -x. Or -1/1.
Step-by-step explanation:
U can use the slope formula.