Answer:
21, 23, 25
Step-by-step explanation:
It adds by x +2 (x being the previous number.)
Answer:
pattern : +2
next three terms : 21, 23, and 25
of the respondents, 519 replied that america is doing about the right amount. what is the 95 % confidence interval for the proportion of all american adults who feel that america is doing about the right amount to protect the environment.
The number of intervals that feel that America is doing about the right amount to protect the environment is 0.487, and 0.551 intervals
To find the number of adults who feel that America is doing about the right amount to protect the environment, we need to use the confidence interval proportion formula
CI = p ± Zα/2 * √(p * (1-p)/n
where:
p = sample proportion = 519/1000 = 0.519
n = sample size = 1000
Zα/2 = the critical value for the desired confidence level = 1.96
By substuting the values, we get:
CI = 0.519 ± 1.96 * √(0.519 * (1-0.519) / 1000)
= 0.519 ± 0.032
= (0.487, 0.551)
Therefore, (0.487, 0.551) interval feel that America is doing about the right amount to protect the environment.
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Giventhat : APRQ ~AD
What is m
Answer:
∠D = 56°
∠D = 180° - (35° + 89°) = 56°
find UT.
- 42.5
- 16.25
- 21.25
- 32.5
Answer:
32.5
Step-by-step explanation:
Hope this helps:)
NEED HELP ASAP PLS!!!!!
Step-by-step explanation:
1. Octagon- 8 sides
2. Quadrilateral- 4 sides
3. Decagon- 10 sides
4. Nonagon- 9 sides
5. Octagon- 8 sides
6. Nonagon- 9 sides
Hope this helps
Equivalent to 28xy+16x
Answer:
\(4x(7y+4)\)
4. In how many ways can 5 men and 7 women be seated in a row so that no two men are next to each other? You must justify your answer.
Answer:
3628800 ways if the women are always required to stand together.
To solve this problem, we can consider the number of ways to arrange the women and men separately, and then multiply the results together.
First, let's consider the arrangement of the women. Since no two men can be seated next to each other, the women must be seated in between the men. We can think of the 5 men as creating 6 "gaps" where the women can be seated (one gap before the first man, one between each pair of men, and one after the last man).
Out of these 6 gaps, we need to choose 7 gaps for the 7 women to sit in. This can be done in "6 choose 7" ways, which is equal to the binomial coefficient C(6, 7) = 6!/[(7!(6-7)!)] = 6.
Next, let's consider the arrangement of the 5 men. Once the women are seated in the chosen gaps, the men can be placed in the remaining gaps. Since there are 5 men, this can be done in "5 factorial" (5!) ways.
Therefore, the total number of ways to seat the 5 men and 7 women is 6 * 5! = 6 * 120 = 720.
There are 720 ways to seat the 5 men and 7 women in a row such that no two men are next to each other.
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Xavier filled a 36 ounce cup with water. Hequickly drank 20% of it. How much water didhe drink?
According to the information given in the exercise, Xavier drank 20% of the 36 ounce cup with water.
You can write 20% as a decimal number by dividing it by 100:
\(\frac{20}{100}=0.2\)Let be "x" the amount of water
what are the portfolio weights for a portfolio that has 135 shares of stock a that sell for $84 per share and 110 shares of stock b that sell for $82 per share? (do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.1616.) portfolio weight stock a % stock b %
The portfolio weights for stock A and stock B are approximately 55.69% and 44.31%, respectively.
To calculate the portfolio weights for stock A and stock B, we need to determine the total value of the portfolio and the proportion of each stock's value within that total.
The total value of the portfolio can be calculated as follows:
Total value = (Number of shares of stock A × Price per share of stock A) + (Number of shares of stock B × Price per share of stock B)
Total value = (135 × $84) + (110 × $82)
Total value = $11,340 + $9,020
Total value = $20,360
Now, we can calculate the portfolio weights for each stock:
Weight of stock A = (Value of stock A ÷ Total value) × 100%
Weight of stock A = (($84 × 135) ÷ $20,360) × 100%
Weight of stock A = $11,340 ÷ $20,360
Weight of stock A ≈ 0.5569 or 55.69%
Weight of stock B = (Value of stock B ÷ Total value) × 100%
Weight of stock B = (($82 × 110) ÷ $20,360) × 100%
Weight of stock B = $9,020 ÷ $20,360
Weight of stock B ≈ 0.4431 or 44.31%
Therefore, the portfolio weights for stock A and stock B are approximately 55.69% and 44.31%, respectively.
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Please help first answer will get marked brainiest!
A survey of the 12th grade students at Gaffigan High School found that 84% of the seniors have their driver’s licenses, 16% of seniors take the bus every day to school, and 14% of the seniors have driver’s licenses and take the bus to school every day. To the nearest whole percent, what is the probability that a senior takes the bus to school every day, given that he or she has a driver’s license? 17% 19% 36% 70%
Answer:
i would say
A. 17%.
Step-by-step explanation:
:)
Please help with all answers on this. And please explain how you got those answers!!!
8) The part shared by vector BC and vector CB is called the magnitude of the line segment.
9) (a) Another name for ∠C is ∠ACB.
(b) ∠ADF and ∠BDC are two angles with point D as the vertex.
(c) Another name for ∠1 is ∠FBD.
(d) Another name for ∠2 is ∠FDB.
8) There are two vectors : vector BC and vector CB.Both the vectors have the same magnitude, i.e., length, but opposite directions to each other.Hence, the vector BC and vector CB have a common magnitude, which is equal to the length of the line segment joining the points B and C.9) According to the given figure,a) The angle ∠C is formed using line segments CA and CB. So, another name for ∠C is ∠ACB.b) ∠ADF and ∠BDC are two angles with point D as the vertex.c) The angle ∠1 is formed using line segments BF and BD. So, another name for ∠1 is ∠FBD.d) The angle ∠2 is formed using line segments DF and DB. So, another name for ∠2 is ∠FDB.To learn more about angles, visit :
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Solve the differential equation, √(2xy)dy/dx=1
We have to integrate the function with respect to x, and then with respect to y to get the general solution.
How to put it?\(df/dx = √(2xy)dx\)
Integrating both sides with respect to x, we get
\(df = √(2xy)dx\)
Integrating both sides with respect to y, we get
\(f = (√2/3)y^(3/2) + c,\)
Where c is a constant.
Substituting the value of f in terms of y in the above equation, we get
\((√2/3)y^(3/2) + c = C\),
Where C is another constant.
This is the general solution of the differential equation.
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Helppppppp pls :))))))))
Answer:
g(x) = 1 * (x + 1)^2
Step-by-step explanation:
Answer:
g(x) = 1 * (x + 1)^2
Step-by-step explanation:
Can someone please help me answer this question?
The linear function that represents the table given is: D. y = 25x + 45.
How to Write a Linear Function?A linear function can be expressed in slope-intercept form as y = mx + b, where:
m is the rate of change of y over the rate of change of x.b is the value of y when x = 0, which is the initial value or y-intercept of the linear function.Using any two points from the table, (0, 45) and (1, 70):
Rate of change (m) = 70 - 45 / 1 - 0
Rate of change (m) = 25/1
Rate of change (m) = 25
The y-intercept or initial value, b = 45.
To write the linear function for the table, substitute m = 25 and b = 45 into y = mx + b:
y = 25x + 45.
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The edges on Zachary's snowboard are chlpped and dented from riding over rocks, so Zachary wants to buy a new one. He can't afford the board he wants, so he opens a hot chocolate stand near his house. Zachary figures out how many cups of hot chocolate he must sell to have enough money for the snowboard. One cold, snowy Saturday, Zachary sells 43 cups of hot chocolate. Now, he needs to sell 47 more cups to buy the snowboard. Which equation can you use to find the total number of cups c Zachary must sell to buy the snowboard?
Answer:
c-43=47
Step-by-step explanation:
Well this is kinda obvious.
He already sold 43 cups of hot choclate and he needed 47 more.
So the total amount of cups is (c) so we can make an equation like this
c-43 (since theres total which is unknown so ”c” and then Theres the already sold 43 cups).
c-43=47 (the 47 is the amount he needs to sell)
So final equation to determine total cups needed
c-43=47
selena created a scale model of an airplane where 1 centimeter on the model equals 6 meters on the airplane. the wingspan of the model is 10.7 centimeters. selena wants to make a new model where a scale of 1 centimeter on the model equals 3 meters on the airplane. which of the following best describes how the wingspan of the new model will compare to the wingspan of the first model?
The wingspan of the new model will be 2 times larger than the wingspan of the first model.
A scale model is a physical model of an object. Scale models are often used in engineering, architecture, and filmmaking, among other fields, to simulate the appearance or functionality of real-world objects.
According to the question, 1 cm of the scale model equals 6 meters of the airplane. Thus, to find the actual wingspan of the airplane, you can multiply the wingspan of the scale model by the ratio of the actual wingspan to the wingspan of the scale model, as shown below:
Wingspan of the airplane = Wingspan of the model × Ratio
To convert the scale model ratio from 1 cm = 6 meters to 1 cm = 3 meters, divide by 2. Since Selena's model has a wingspan of 10.7 cm, you can calculate the wingspan of the actual airplane using the equation above, as shown below:
Wingspan of the airplane = 10.7 × 6/1 = 64.2 m (for the first model)Wingspan of the airplane = 10.7 × 3/1 = 32.1 m (for the new model)
Now you can compare the wingspan of the two models to determine how the wingspan of the new model compares to the wingspan of the first model.
The wingspan of the new model will be 2 times larger than the wingspan of the first model, since 64.2 ÷ 32.1 = 2. Therefore, the correct answer is that the wingspan of the new model will be 2 times larger than the wingspan of the first model.
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What is the length of the hypotenuse of the triangle below?
912
45"
90"
92
n
459
Choice
A.
92
B.
9
C
18
E
812
F.
18 V2
Answer:
D) 18
Step-by-step explanation:
(9√2)²+(9√2)²=h²
81x2+81x2=h²
162+162=h²
324=h²
√324=h
18=h
the volume of water in a certain tank is x percent greater than it was one week ago. if r percent of the current volume of water in the tank is removed, the resulting volume will be 90 percent of the volume it was one week ago. what is the value of r in terms of x ?
The value of r in terms of x is : r = 100 × (10+x)/(100+x)
Information available from the question:
The volume of water in a certain tank is x percent greater than it was one week ago.
r is the percent of the current volume of water.
Now is x% greater than volume one week ago
=> V now = V week ago (1+x/100)
If r percent of the current volume is removed, the resulting volume will be 90 percent of the volume a week ago
=> V now (1-r/100) = 0.9 × V weekago
Using the first equation, V now/V weekago = (1+x/100)
Putting this in the second equation,
(1-r/100) (1+x/100) = 0.9
=> (100 - r) (100 + x) = 9000
=> r = 100 - [9000/(100+x)]
=> r = 100 × (10+x)/(100+x)
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what does (d+3) represent in 4.5(d+3)=45
Answer:
(d + 3) would be 10
Step-by-step explanation:
Step 1: Distribute
\(4.5(d + 3) = 45\)
\((4.5 * d) + (4.5 * 3) = 45\)
\(4.5d + 13.5 = 45\)
Step 2: Subtract 13.5 from both sides
\(4.5d + 13.5 - 13.5 = 45 - 13.5\)
\(4.5d = 31.5\)
Step 3: Divide both sides by 4.5
\(\frac{4.5d}{4.5} = \frac{31.5}{4.5}\)
\(d = 7\)
Step 4: Determine what (d+3) is
\((d + 3)\)
\((7 + 3)\)
\(10\)
Answer: (d + 3) would be 10
\(\huge\text{Hey there!}\)
\(\large\boxed{\mathsf{4.5(d + 3) = 45}}\\\\\large\boxed{\mathsf{\rightarrow 4.5(d) + 4.5(3) = 45}}\\\\\large\boxed{\mathsf{\rightarrow 4.5d + 13.5 = 45}}\\\\\large\boxed{\textbf{SUBTRACT 13.5 to BOTH SIDES}}\\\\\large\boxed{\mathsf{4.5d + 13.5 - 13.5 = 45 - 13.5}}\\\\\large\boxed{\textbf{SIMPLIFY IT!}}\\\\\large\boxed{\mathsf{4.5d = 45 - 13.5}}\\\\\large\boxed{\mathsf{4.5d = 31.5}}\\\\\large\boxed{\textbf{DIVIDE 4.5 to BOTH SIDES}}\\\\\large\boxed{\mathsf{\dfrac{4.5d}{4.5}= \dfrac{31.5}{4.5}}}\)
\(\large\boxed{\large\textbf{SIMPLIFY IT!}}\\\\\large\boxed{\mathsf{d = \dfrac{31.5}{4.5}}}\\\\\\\large\boxed{\mathsf{d = 7}}\\\\\\\huge\boxed{\textbf{Therefore, your answer is: \boxed{\mathsf{d = 7}}}}\huge\checkmark\)
\(\mathsf{(d + 3)}\\\mathsf{= \bold{7} + 3}\\\mathsf{= 10}\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
A teacher plans to buy air fresheners that cost $3.50 each. If the teacher can spend no more than $10 on the air fresheners and has a $3 discount coupon, which inequality represents the number of air fresheners, x, the teacher can buy?
Answer:
Step-by-step explanation:
We need to create an equation to represent how many air fresheners the teacher can buy.
Teacher has $10 and a $3 discount coupon which would give her an extra $3 to spend. Each air freshener is $3.50.
x = number of air fresheners
($10 + $3) / $3.50 = x can be written as $13/$3.50 = x
We add $10 and $3 because that gives us the total amount she has to spend.
We divide by $3.50 because that is the cost of each air freshener. The result is the number of air fresheners she can buy.
In this case.
$13/$3.50 = x
3.71 = x BUT we can't buy part of an air freshener, so she can purchase 3 air fresheners.
Tile the rectangle shown using square inches to find the area, and then use multiplication to confirm the area. Use paper to show your work.
Answer:
19 11/16
Step-by-step explanation:
5 1/4 x 3 3/4
Area = width x length
f(x1, x2) 421 +222 3x² +213 5x11² (√₁+√₂)² 10ln(₁) (x₁+x₂)(x² + x3) min(3r1, 10√2) max{5x1,2r2} MP1(x1, x₂) MP2(X1, X₂) TRS(x1, x₂) Output (2,4)
The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.
The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:
1. The first term is 421 + 222, which equals 643.
2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.
3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.
4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.
5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.
6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.
7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.
8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.
9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.
Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:
- 421 + 222 = 643
- 3x² + 213 = 225
- 5x11² = 1210
- (√₁+√₂)² = 9
- 10ln(₁) ≈ 6.9314718
- (x₁+x₂)(x² + x3) = 408
The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.
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In one day, the stock price for warbucks Coffee rose from $50 to $58 per share. By what percent did this stock price rise?
Answer:
16%
Step-by-step explanation:
just multiply 50 times percentages until you get 8
Answer:
180
Step-by-step explanation:
50+58
Help yalll I really need help major time
Answer:
Annalise is correct because the outputs are closest when x = 1.35
Step-by-step explanation:
The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.
6g + 12 =
Help help help help help
Answer:
Value of g=9.8 m/s
Step-by-step explanation:
\(6 \times 9.8m | s + 12 \\ = 58.8 + 12 = 70.8\)
SO.. THE ANSWER IS 70.8 M/S
Solve each system of equations. Check your answers.
[x+y+z=-1 y+3z=-5 x+z=-2}right.
The solution to the given system of equations [x+y+z=-1 y+3z=-5 x+z=-2} is x = -3, y = 2, and z = 0.
To solve the system of equations, we can use various methods, such as substitution or elimination. Here, let's use the method of elimination.
From the first equation, we can isolate x by subtracting y and z from both sides: x = -1 - y - z
Now, substitute this expression for x into the second and third equations:
-1 - y - z + y + 3z = -5 (equation 2)
-1 - y - z + z = -2 (equation 3)
Simplifying equation 2, we get:
2z - 1 = -5
2z = -4
z = -2
Substituting z = -2 into equation 3, we have:
-1 - y - (-2) = -2
-1 - y + 2 = -2
y - 1 = -2
y = -1
Finally, substitute y = -1 and z = -2 into equation 1 to solve for x:
x - 1 - 2 = -1
x - 3 = -1
x = -3
Therefore, the solution to the system of equations is x = -3, y = -1, and z = -2. We can check by substituting these values back into the original equations.
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Eliana's bedroom door is 7 feet tall and 4 feet wide. A new door would cost $5.09 per square foot. How much would a new bedroom door cost in total?
Therefore , the solution of the given problem of area comes out to be
a new bedroom door would cost $142.52 in total.
A Surface Area is what?Its surface area serves as a fair guide of its total size. The environment is considered when calculating the right triangle squared. Everything's overall size is determined by its surface area. The volume of water inside a cuboid is equal to the sum of the contents from each of its twelve vertical sides. To determine the box's dimensions, use the formula below: 2lh, 2lw, and 2hW symbolise the area (SA). The full surface area of the flexible shape serves as the area's representation.
Here,
The area of the door is:
Area = height x width
Area = 7 ft x 4 ft
Area = 28 sq ft
The cost per square foot is $5.09, so the total cost of the new door would be:
Cost = Area x cost per square foot
Cost = 28 sq ft x $5.09/sq ft
Cost = $142.52
Therefore, a new bedroom door would cost $142.52 in total.
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Try It
Given: AD
Prove: DE
D
BC and BCD =
CE
Hint
B
Angles Segments Triangles Statements Reasons
AAS
CPCTC
Statements
✓ 1. AD = BC
✓2. ZBCD =
3. DC DC
4. AADC = ABCD
5. LEDC ZECD
SAS
converse of isosceles triangle thm
Reasons
1. given
2. given
3. reflexive property
4. SAS
5. CPCTC
The required statements and reasons to prove that DE is equal to CE is explained.
What is a triangle congruence theorem?The triangle congruence theorem is a theorem that can be used to prove that two or more triangles are the same, considering the corresponding properties of the triangles. The properties are length of the sides, and measure of internal angles.
The statements and reasons to prove that DE is equal to CE are explained below using the triangle congruence theorem.
STATEMENT REASON
1. AD = BC Given
2. <BCD = <ADC Given
3. DC = DC Reflexive property
4. ΔADC ≅ ΔBCD SAS
5. <EDC ≅ <ECD CPCTC
6. AC = BD Definition of diagonal
7. DE = CE Congruent sides of isosceles triangle
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help in class ioejwrfahfu9vparwhgv
3/1 tama poyong unna nag answer
if the median of a normal distribution curve is known, what can be said about the mean?
If the median of a normal distribution is known, it can be said that the mean of the distribution is also equal to the median. This is because the normal distribution is symmetric, with the median and mean at the center of the curve.
For a normal distribution, the mean and median are equal, so if the median is known, then the mean is also known. In a normal distribution, the median represents the point where exactly half of the data falls below and half falls above that point. Since the mean is also the point where the data balances out, meaning the sum of the values above the mean is equal to the sum of the values below the mean, it is also equal to the median. Therefore, if the median of a normal distribution curve is known, we can conclude that the mean is also equal to that value.
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