the sum of 3 consecutive odd integers is 45 what are the three integers
Answer:
14, 15, 16
Step-by-step explanation:
45-2 The difference in integers, that way they're all the same number
43/3=14
14, 15, 16
Question: 18 of 19
Lesson 18
Find the component form of the following vectors. Round your answers to the tenth.
Magnitude of v = 50, direction angle 0 = 50°
Choice 'A' OV
Choice 'B'O V
Choice 'C'OV
Choice 'D' OV
(38.3, 32.1)
(33.8, 31.2)
(32.1, 38.3)
(31.2, 33.8)
4
The component form of the following vectors is Option A. V = (38.3, 32.1).
To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.
The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.
In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.
The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).
Let's calculate the components:
x = 50 * cos(50°) ≈ 38.3
y = 50 * sin(50°) ≈ 32.1
Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).
Therefore, the correct answer is A. V = (38.3, 32.1).
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The question is incomplete. Find the full content below:
Find the component form of the following vectors. Round your answers to the tenth.
Magnitude of v = 50, direction angle θ = 50°
A. V = (38.3, 32.1)
B. V = (33.8, 31.2)
C. V = (32.1, 38.3)
D. V = (31.2, 33.8)
Taub missed 14 questions on her multiple choice math final that had a total of 200
problems. What percentage of questions did Taub answer correctly?
The percentage of questions that Taub answer correctly will be 93%.
How to calculate the percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
In this case, Taub missed 14 questions on her multiple choice math final that had a total of 200 problems.
The percentage of questions that Taub answer correctly will be:
= Correct questions / Total questions × 100
= (200 - 14) / 200 × 100
= 186/200 × 100
= 93%
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The length of a rectangle is twice its width. Find its lenght and width, if its perimeter is 7 1/3 cm.
The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.
Let's assume the width of the rectangle is "b" cm.
According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.
The formula for the perimeter of a rectangle is given by:
Perimeter = 2 * (length + width)
Substituting the given perimeter value, we have:
7 1/3 cm = 2 * (2b + b)
To simplify the calculation, let's convert 7 1/3 to an improper fraction:
7 1/3 = (3*7 + 1)/3 = 22/3
Rewriting the equation:
22/3 = 2 * (3b)
Simplifying further:
22/3 = 6b
To solve for "b," we can divide both sides by 6:
b = (22/3) / 6 = 22/18 = 11/9 cm
Therefore, the width of the rectangle is 11/9 cm.
To find the length, we can substitute the width back into the equation:
Length = 2b = 2 * (11/9) = 22/9 cm
So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.
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As group size increases, which of the following typically occurs?
a. Complexity increases
b. Factions develop
c. The number of nonparticipating members increases
As group size increases, the complexity of the group increases (option A).
What is group size?
Even within the same species, group size can vary greatly, so we frequently need statistical tests to evaluate these measurements between two or more samples as well as statistical measures to quantify group size. Since group sizes typically follow an aggregated (right-skewed) distribution, where most groups are small, few are large, and a very small number are very large, group size measures are infamously challenging to handle statistically.
As group size increases, the complexity of managing and coordinating the group also increases.
The larger the group, the more difficult it is to communicate effectively, to make decisions, and to ensure that everyone is working towards a common goal.
This is why larger organizations often have more complex hierarchies and more formalized communication and decision-making processes.
Therefore, the correct option is A.
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The average temperature for a country during September 2013 was 58.1 degrees Farenheit. This is 5.6 degrees Farenheit above the 20th-century average temperature for September. What was the country's 20th-century average temperature for September
Answer:
52.5
Step-by-step explanation:
58.1 - 5.6= 52.5
En el triángulo rectángulo ABC, recto en “B”, SI Tg C = 3/5, hallar el valor “cosec A”
Answer: Cosec(A) = 3.64
Step-by-step explanation:
Ok, tenemos un triangulo rectángulo.
Sabemos que B = 90° y que
tg(C) = 3.5
entonces:
Atg(Tg(C)) = C = Atg(3.5) = 74.05°.
Nosotros también sabemos que la suma de todos los ángulos interiores de un triangulo es igual que 180°
entonces:
A + B + C = 180°
A + 90° + 74.05° = 180°
A = 180° - 90° - 74.05° = 15.95°
Entonces Cosec(A) = Cosec(15.95°) = 1/sin(15.95°) = 3.64
Which of the following is equal to the absolute value of 7?
Answer:
absol value is 7 so pick the option that is 7.
Step-by-step explanation:
Hope this helps plz hit the crown :D
What is the difference in length between the longest meteor and the shortest meteor?
1 5/8
You need to subtract 2/8 from 1 7/8. The numbers are already common denominators, so it's much easier to subtract.
1 7/8-2/8
=1 5/8
trouve trois nombres entiers consécutifs dont la somme vaut 513
Answer:
170, 171, 172
Step-by-step explanation:
x + x + 1 + x + 2 = 513
3x + 3 = 513
3x = 510
x = 170
x + 1 = 171
x + 2 = 172
Write this ratio as a fraction in simplest form without any units.
4 feet to 40 inches
Answer:
Step-by-step explanation:
The ratio here would be 1 foot to every 10 inches, or without any units: 1/10
Which letter has rotational symmetry?
E
B
Z
V
Answer:
V
Step-by-step explanation:
pls help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
y
Step-by-step explanation:
ffev
If m 2
= 7x + 7, m 3=
4y, and m 4
= 112, find the values of x and y.
X = 112, y = 68
x = 15, y = 17
X = 17, y = 15
X = 68, y = 112
Answer:
x = 1 and y = 4
Step-by-step explanation:
m² = 7x + 7; m³= 4y and m∧4 = 112
√(m∧4) = √112
∴ m² = √112
Hence, 7x + 7 = √112
(7x + 7)² = 112
49x² + 14x + 49 = 112
49x² + 14x - 63 = 0
7x² + 2x - 9 = 0
7x² + 9x - 7x - 9 = 0
x(7x + 9) - 1(7x + 9) = 0
(x - 1)(7x + 9) = 0
x - 1 = 0
∴ x = 1
When x = 1
m²= 7 + 7 = 14
m³= 4y and m∧4 = 112
Also m∧4/m²= m² = 112/14 = 8
Hence, m° = 2; m = 2 X 2 = 4; m² = 2 x 2 x 2 = 8; m³= 2 x 2 x2 x 2 = 16
m³ = 16 = 4y
∴ y = 16/4 = 4
{1, √2, √√3, 2, √5, ...}
need help knowing the sequence and the 3 next terms
Answer:
3, 2√2, √7
Step-by-step explanation:
compute the square roots of the next three prime numbers:
√7
√11
√13
Therefore, the next three terms of the sequence are:
{1, √2, √3, 2, √5, √7, √11, √13}
chatgpt
chat
NO LINKS WILL MARK BRAINLIEST
Answer:
30.2 sq cm
Step-by-step explanation:
bass times height 10 cm bottom and 3.2 height
karen purchased a DVD player on sale. the original price was $179.30. the sale price was 159.92 what is the first step in finding the percent markdown? find the percent markdown.
well, let's do so and hmmm you decide which is the 1st step :)
so the DVD costs originally 179.30 but the store is selling it marked down by "x" percent, down to 159.92, hmmmm 179.30 - 159.92 = 19.38.
so if we take 179.30(source amount) to be the 100%, what is 19.38 off of it in percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 179.30 & 100\\ 19.38& x \end{array} \implies \cfrac{179.30}{19.38}~~=~~\cfrac{100}{x} \\\\\\ 179.3x=1938\implies x=\cfrac{1938}{179.3}\implies x\approx 10.81\)
2(3.5×1.5)+2(3.5×2)+2(1.5×2)=
2(3.5×1.5)+2(3.5×2)+2(1.5×2)
= 2(5.25)+2(7)+2(3)
=10.5+14+6
=30.5
Answer: 30.5
Step-by-step explanation:
2(3.5×1.5)+2(3.5×2)+2(1.5×2)
= 2(5.25)+2(7)+2(3)
= 10.5+14+6
= 30.5
What is the fraction to this picture?
A certain culture of the bacterium Rhodobacter sphaeroides initially has 45 bacteria and is observed to double every 5 hours. (a) Find an exponential model n(t)
Answer:
The exponential model n(t) is \(n(t) = 46(1.1487)^t\)
Step-by-step explanation:
Exponential model of population growth:
An exponential model for population growth has the following model:
\(n(t) = n(0)(1+r)^t\)
In which n(0) is the initial value and r is the growth rate, as a decimal.
Observed to double every 5 hours.
This means that \(n(5) = 2n(0)\)
We use this to find 1 + r. So
\(n(t) = n(0)(1+r)^t\)
\(2n(0) = n(0)(1+r)^5\)
\((1+r)^5 = 2\)
\(\sqrt[5]{(1+r)^5} = \sqrt[5]{2}\)
\(1 + r = 2^{\frac{1}{5}}\)
\(1 + r = 1.1487\)
So
\(n(t) = n(0)(1+r)^t\)
\(n(t) = n(0)(1.1487)^t\)
Initially has 45 bacteria
This means that \(n(0) = 45\). So
\(n(t) = n(0)(1.1487)^t\)
\(n(t) = 46(1.1487)^t\)
The exponential model n(t) is \(n(t) = 46(1.1487)^t\)
Can someone explain how they got the answer for this?
Answer:
y = 6x + 4
Step-by-step explanation:
We know the equation is linear. First, use two points to find the slope of the line.
m = (y₂ − y₁) / (x₂ − x₁)
m = (10 − 4) / (1 − 0)
m = 6
The y-intercept is 4. So the equation of the line is:
y = mx + b
y = 6x + 4
What is the best description of the data in the histogram
A The data is set symmetrical
B The data interval is four
C The data set has a peak
D The data set has a cluster
I need the answer and quick, please!
0.65 T = _ lb
Answer:
Step-by-step explanation:
1 ton = 2000 pounds
thus:
0.65T * (2000lb / 1 T) = 1300 lbs
Hope that helps!
Question 7
Find the angle measures of ABCD.
Answer:
find it urself, i give u guide
Step-by-step explanation:
Find the value of the x first
As for now the only info that you have is total of angle in the square is 360°
\(360 = 4x - 10 + 3x + 7 + 2x + 3 \\ x = 40\)
Blank DVD's are sold in packages of 50 for $17.95 if your company will need 2700 blank divide these next year how much money must your budget for blank dvd's
Answer:
Step-by-step explanation:
50 X 240 = 2700. So you will need 240 packs of 50. They cost 17.95 each, so the multiply. 240 X 17.95 is 4,308. So, 4,308 is your answer.
( 70 POINTS!! ) In a survey of 2837 adults, 1436 say they have started paying bills online in the last year.
Construct a 99% confidence interval for the population proportion. Interpret the results.
Question
Part 1
A 99% confidence interval for the population proportion is =( ? , ? )
.
(Round to three decimal places as needed.)
Part 2
Interpret your results. Choose the correct answer below.
A. With 99% confidence, it can be said that the sample proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
B. The endpoints of the given confidence interval show that adults pay bills online 99% of the time.
C. With 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
The correct answer is Part 1: The 99% confidence interval for the population proportion is approximately (0.4716, 0.5416).Part 2: With 99% confidence, the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
Part 1:
To construct a 99% confidence interval for the population proportion, we can use the formula:
Confidence Interval = Sample Proportion ± Margin of Error
where the margin of error is determined by the level of confidence and the standard error.
First, let's calculate the sample proportion:
Sample Proportion = (Number of adults who say they have started paying bills online) / (Total number of adults surveyed)
Sample Proportion = 1436 / 2837 ≈ 0.5066 (rounded to four decimal places)
Next, we need to calculate the standard statistics error, which is the measure of the variability in the sample proportion:
Standard Error = sqrt((Sample Proportion * (1 - Sample Proportion)) / Sample Size)
Standard Error = sqrt((0.5066 * (1 - 0.5066)) / 2837) ≈ 0.0136 (rounded to four decimal places)
Now, we can calculate the margin of error:
Margin of Error = Critical Value * Standard Error
The critical value is based on the desired confidence level. For a 99% confidence level, the critical value is approximately 2.576 (obtained from a standard normal distribution table).
Margin of Error = 2.576 * 0.0136 ≈ 0.0350 (rounded to four decimal places)
Finally, we can construct the confidence interval:
Confidence Interval = Sample Proportion ± Margin of Error
Confidence Interval = 0.5066 ± 0.0350
Confidence Interval ≈ (0.4716, 0.5416) (rounded to four decimal places)
Part 2:
The correct interpretation is:
C. With 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
This means that we are 99% confident that the true proportion of adults who have started paying bills online falls within the range of 0.4716 to 0.5416. The survey results suggest that approximately 47.16% to 54.16% of the population of adults have started paying bills online in the last year.
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Two students are working on the same homework assignment. Antonia has completed 18 out of 45 questions. Oliver has completed 20% of the questions. Which student has completed the most questions, and why?
Answer: Your anwser who has the most completed it would be the person with 18 questions anwsered out of 45
Step-by-step explanation:
The reason of this is becuase 20 percent of 45 if 9 and thats 9 questions out of 45 so 18 questions out of 45 is more
please mark brainliest thank you
Write the equation of each line in slope-intercept form.
(If possible please show work)
Answer:
y= 3x+2
Step-by-step explanation:
i think im sorry if its wrong
Please help urgent thank you
If he wants an average of 84, he needs to get at least 93 points.
What score does he need to get in the next test?Remember that the average value between 3 values A, B, and C is:
(A + B + C)/3
Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:
(76 + 83 + x)/3 = 84
159 + x = 252
x = 252 - 159
x = 93
So he needs to get at least 93 points in the next exam.
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MA.7.DP.1.4
A group of friends has been given $800 to host a party. They must decide how much money
will be spent on food, drinks, paper products, music and decorations.
Part A. As a group, develop two options for the friends to choose from regarding how to
spend their money. Decide how much to spend in each area and create a circle
graph for each option to represent your choices.
Part B. Mikel presented the circle graph below with his recommendations on how to
spend the money. How much did he choose to spend on food and drinks? How
much did he choose to spend on music?
Party Spending Proposal
Mail
17%
Paper Products
Answer: $130 money did Brenda and Hazel have all together before buying decorations and snacks.
Here, we have,
You want to know Brenda and Hazel's combined money when the ratio of their remaining balances is 1 : 4 after Brenda spent $58 and Hazel spent $37. They had the same amount to start with.
Setup
Let x represent the total amount the two women started with. Then x/2 is the amount each began with, and their fnal balance ratio is ...
(x/2 -58) : (x/2 -37) = 1 : 4
Solution
Cross-multiplying gives ...
4(x/2 -58) = (x/2 -37)
2x -232 = x/2 -37 . . . . . . eliminate parentheses
3/2x = 195 . . . . . . . . . . . . add 232-x/2
x = (2/3)(195) = 130 . . . . . multiply by 2/3
Brenda and Hazel had $130 altogether before their purchases.
Alternate solution
The difference in their spending is $58 -37 = $21.
This is the same as the difference in their final balances.
That difference is 4-1 = 3 "ratio units", so each of those ratio units is $21/3 = $7.
Their ending total is 1+4 = 5 ratio units, or $35.
The total they started with is $58 +37 +35 = $130.
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complete question:
Brenda and Hazel decide to throw a surprise party for their friend, Aerica. Brenda and Hazel each go to the store with the same amount of money. Brenda spends $58 on decorations, and Hazel spends $37 on snacks. When they leave the store, the ratio of Brenda’s money to Hazel’s money is 1 : 4. How much money did Brenda and Hazel have all together before buying decorations and snacks?