Answer:
2x^2 + 8x + 3
Step-by-step explanation:
The expression is not factorable with rational numbers.
What is the northerly Component of a wind blowing at 15ms from the South East?
The northerly component of the wind blowing at 15 m/s from the South East is approximately 10.605 m/s.
To determine the northerly component of a wind blowing from the South East, we need to consider the direction from which the wind is coming and its magnitude.
A wind blowing from the South East means it is coming from the South East direction towards the opposite direction, which is the North West. Since the wind is coming from the South East, we can say it has a southeasterly direction.
To find the northerly component, we need to break down the wind vector into its north and east components. The northerly component represents the part of the wind that is directed towards the north.
If we assume that the wind is blowing at an angle of 45 degrees with respect to the North, we can use trigonometry to find the components. Since the wind is blowing at 15 m/s, we can consider it as the hypotenuse of a right triangle.
The northerly component can be found using the sine of the angle:
Northerly Component = Wind Speed * sin(Angle)
Northerly Component = 15 m/s * sin(45°)
Using the value of sin(45°) (which is √2 / 2 ≈ 0.707), we can calculate the northerly component:
Northerly Component ≈ 15 m/s * 0.707
Northerly Component ≈ 10.605 m/s
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Divide. Reduce the awnser to lowest terms 5 2/3 divided by 3 1/9
Answer:
1 23/28
Step-by-step explanation:
turn both of your numbers into fractions: 17/3 and 28/9
to turn you equation into something that you can simplify, flip one of your fractions and that will turn the division sign into a multiplication sign:
17/3 x 9/28
you can simplify this by simplifying 9 to 3 and 3 to 1.
this means you now have 17 x 3/28
multiply 17 and 3 together since they are the numerators, you should get 51/28
now turn this into a mixed fraction: 1 23/28
I NEED HELP PLS HURRY
1. Write each expression with a single exponent:
a. (10^7)²
b. (10^9)³
c. (10^6)³
d. (10^2)³
e. (10³)²
f. (10^5)^7
Answer:
We use the rule,
\((a^b)^c = a^{bc}\)
a. (10^7)²
\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)
10^14
b. (10^9)³
\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)
10^27
c. (10^6)³
\(10^{(6)(3)}= 10^{18}\)
10^18
d. (10^2)³
\(10^{(2)(3)} = 10^{6}\)
10^6
e. (10³)²
\(10^{(3)(2)}=10^{6}\)
10^6
f. (10^5)^7
\(10^{(5)(7)} = 10^{35}\)
10^35
Step-by-step explanation:
Need Help You Can Get 35 point!!!
The width of a rectangular field is represented by x meters. The length of the field is 10 more than twice its width . The area of the field is 5500m^2
Part A
Write an equation that can be used to determine the dimensions, in meters, of the field.
Part B
What is the width, in meters, of the field?
The width is ( ) meters.
Part A: The equation that can be used to determine the dimensions, in meters, of the field is 5500 = 2x² + 10x
Part B: width is 50 meters.
How to determine the valueThe formula for calculating the area of a rectangle is expressed with the equation;
A = lw
Such that the variables are expressed as;
A is the areal is the lengthw is the widthWe then have that;
l = 2x + 10
Substitute the values
5500 = (2x + 10)(x)
expand the bracket
5500 = 2x² + 10x
2x² + 10x - 5500
x² + 5x - 2750
x² + 55x - 50x - 2750
x(x + 55) - 50(x + 55)
x = 50 meters
Length = 2(50) + 10
Length = 100 + 10 = 110 meters
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What are the consecutive numbers that follow the number 686
Answer:
687, 688, 689, 690, ...
Step-by-step explanation:
Each in a list of consecutive integers is 1 more than the previous number. Consecutive integers following 686 are ...
687, 688, 689, 690, ...
Calculate the geometric center of the grapg under the function
The geometric center of the graph under the function is 5/3
How to determine the geometric center of the graph under the function?The equation of the function is given as:
f(x) = 3 - |x - 2|
The interval is given as:
x ∈ [0, 3]
The geometric center (gc) of the graph under the function is calculated using
gc = ∫x f(x) dx/∫f(x) dx
Substitute the known values in the above equation
gc = ∫x * (3 - |x - 2|) dx/∫3 - |x - 2| dx
Integrate the numerator and the denominator of the above equation
gc = [-1/6(x - 2)((2|x -2| - 9)x + 2|x - 2| - 18)]/[3x - 1/2[|x - 2|(x - 2)]]
Recall that the interval is given as x ∈ [0, 3]
Substitute the interval values in the above equation.
The equation is then simplified using a graphing calculator.
So, we have
gc = (65/6)/(13/2)
Express the quotient expression as a product
gc = (65/6) * (2/13)
Divide 65 by 13
gc = 5/6 * 2
Divide 2 by 6
gc = 5/3
Hence, the geometric center of the graph under the function is 5/3
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this research seeks to identify, describe and produce an analysis of the factors that influence the learning choices of first- year undergraduate students who intend to go on to postgraduate study when they graduate, and develop associated theory.
The research explores the various factors that may influence the learning choices of first-year undergraduates, such as the family and educational background of the student, their socioeconomic status and the availability of resources, among others.
What is factor?Factor is a mathematical quantity which is multiplied with another quantity to give a product. Factors can also be defined as the numbers that divide a given number exactly. Factors are used in everyday life to calculate many different types of problems, such as compound interest, speed, distance and time, and more. Factors are also used in statistics and probability to determine the likelihood of certain events occurring.
The paper will also examine the various types of postgraduate courses that are available to undergraduates, including those offered by universities and other institutions, such as professional courses or distance learning programmes.
The research adopts a qualitative approach, and will use semi-structured interviews with first-year undergraduates to gain an understanding of their learning choices, and the factors that influence them. Interviews will be conducted with students in different disciplines, in order to gain an insight into how the different disciplines shape students' learning preferences. The research will also use questionnaires to obtain data on the socioeconomic background, family background and educational background of students.
In addition, the research will use documentary analysis of university prospectuses and websites, and information from other sources, such as employers and professional bodies, to gain an understanding of the various postgraduate courses that are available to undergraduates. This data will be used to compare and contrast the learning choices of undergraduates from different disciplines and economic backgrounds.
Finally, the research will use an interpretive approach to analyse the data collected and develop a theory of the factors that influence the learning choices of first-year undergraduates. The theory will be used to inform the design of initiatives to help undergraduates make informed decisions about their learning choices.
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simplify the expression -7/9- 5/10
Answer:
-23/18
Step-by-step explanation:
-7/9 = -70/90
-5/10 = -45/90
-70-45 = -115
-115/90
-23/18
EDIT: whoops, I subtracted 45 from 70 instead of adding them. it should be correct now.
hope this helps, goodluck with your schoolwork/homework.
sorry for any errors or bad explanations.
answer quick pls due today
Answer:
B =1/4 s I think, doesn't it mean you multiply when you put a variable next to a fraction? I mean your multiplying his income last year to 1/4
Step-by-step explanation:
I hoped this helped. Wait for more responses if needed too ;)
Five more than the product of a number and six is equal to nine
Answer:
Think about the PEMDAS rules for order of operations.
Multiplication comes before addition or subtraction, so first we have "the product of a number and 5" - that's 5x. Then "six more" than that would be 5x + 6. "Equals" means the "=" sign, so the final answer is 5x + 6 = 8.
True or False The expression 1/i written in a+bi form is -i
Answer: i believe its true
Step-by-step explanation:
Draw a model of 1/2 x 1/4
Answer:
I hope this helps :)
Step-by-step explanation:
uh I think this is what you want
1/2 times 1/4 = 1/8
multiply numerators: 1 times 1 = 1
multiply the denominators: 2 times 4 = 8
in total: 1/8
Cary calculated the surface area of a box in the shape of a rectangular prism. She wrote the equation 148 = 2 (6w + 6h + hw) to represent the width and height of the box. She solved for w and got w = StartFraction 74 minus 6 h Over h + 6 EndFraction Which of the following is an equivalent equation?
Answer:
the answer is w = 148-12h/12+2h
The equivalent equation is -
\($w=\frac{74-6h}{h+6}\)
We have the equation written by Carly → 148 = 2 (6w + 6h + hw) that represent the width and height of the box in the shape of a rectangular prism.
We have to solve for w.
What do you mean by Equivalent expression ?Any expression written in a form different from the original form, but gives same result for any input are called equivalent expressions.
Solve for x : \($log(\frac{x}{\omega}) = 2\pi\)We have -
\($log(\frac{x}{\omega}) = 2\pi\)
log(x) - log(ω) = 2π
log(x) = 2π + log(ω)
x = \(e^{(2\pi + log(\omega))} = e^{2\pi } \times e^{log(\omega)}\)
According to the question, we have -
148 = 2 (6w + 6h + hw)
(6w + 6h + hw) = 74
hw + 6w = 74 - 6h
w(h + 6) = 74 - 6h
\($w=\frac{74-6h}{h+6}\)
Hence, the equivalent equation is -
\($w=\frac{74-6h}{h+6}\)
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Can someone answer this?
Answer:
irrational
Step-by-step explanation:
1) Area=side²; then 24200=side²;
2) side=√24200=10√242 - irrational.
PLEASE HELP SOME ONE ILL GIVE U 30 POINTS
Which expression is equivalent to 1/49 Select all that apply.
Answer:
7^-1 * 7^-1
7^-5 * 7^3
7^7 * 7^-9
so the first three are correct!
Step-by-step explanation:
DUE IN 30 MINS (6th grade) PLEASE PLEASE HELP ME ASAAP
The ages of people visiting a senior center one afternoon are recorded in the line plot.
A line plot titled Ages At Senior Center. The horizontal line is numbered in units of 5 from 40 to 95. There is one dot above 45 and 80. There are two dots above 70 and 85. There are three dots above 75.
Does the data contain an outlier? If so, explain its meaning in this situation.
No, there is no outlier. This means that the people were all the same age.
No, there is no outlier. This means that the people are all around the mean age.
Yes, there is an outlier of 45. This means that the average person at the center is 45 years old.
Yes, there is an outlier of 45. This means that one person's age was 45, which is 25 years younger than the next closest age
{Please follow the rules Dos and Don't}
Do :
Answer the question correctly
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Answer: Yes, there is an outlier of 45, This means that one person's age was 45, which is 25 years younger than the next closest age.
Hope this helps! :)
Step-by-step explanation:
Answer:
D
GIVE HIME BRAINLIEST
Step-by-step explanation:
Given the following sets, find the set (A U B) n (AUC).
U= {1, 2, 3, ..., 10}
A=(2, 5, 7, 10}
B = {1, 2, 3)
C={1, 2, 3, 4, 5}
The set (A U B) n (A U C) is {2, 5, 7, 10}. A.
To find the set (A U B) n (A U C), we first need to calculate the union of sets A and B, and then calculate the union of that result with set C. Finally, we find the intersection of these two sets.
Set A U B:
The union of sets A and B, denoted as A U B, is the combination of all elements from both sets without any repetitions.
A contains the elements 2, 5, 7, and 10, while B contains the elements 1, 2, and 3.
A U B consists of the elements {1, 2, 3, 5, 7, 10}.
Set (A U B) U C:
Next, we calculate the union of the set (A U B) with set C, denoted as (A U B) U C. A U B contains the elements {1, 2, 3, 5, 7, 10} and C contains the elements {1, 2, 3, 4, 5}.
Taking the union of these two sets results in {1, 2, 3, 4, 5, 7, 10}.
Finding the intersection:
Finally, we find the intersection of (A U B) U C with A U C. A U C consists of the elements {2, 5, 7, 10}.
The intersection of these two sets is the combination of common elements.
The common elements are {2, 5, 7, 10}.
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5p · 1 = 5p is what property
Answer:
034579+&_9&__78'_&666
Evaluate: (ƒ − g)(−2)
From the graph,
f(-2) = 0
and, g(-2) = 0
(ƒ − g)(−2)= f(-2)-g(-2) = 0
OPTION B is the correct answer
Please help me with this problem thank you!
Answer:
the awnser is or I'm 4th grade
........................................................
Points A (4, 3), B (6, 4), C (5, 6) and D (3, 5) are the vertices of a square ABCD. The square ABCD is reflected about the line through (0, 0) and (-2, 2). Find the vertices of the image of the square ABCD and present both the figures on the same graph.
The vertices of the reflected square.
Let's calculate them:
A' = (-0.914, 3.914)
B' = (-2.828, 5.828)
C' = (-0.086, 7.086)
D' = (1.828, 5.172)
The vertices of the image of the square ABCD after reflecting it about the line through (0, 0) and (-2, 2), we can use the following steps:
Find the equation of the reflection line:
The reflection line passes through (0, 0) and (-2, 2).
We can calculate the slope (m) of the line using the formula (y2 - y1) / (x2 - x1):
m = (2 - 0) / (-2 - 0) = 2 / -2 = -1.
Using the point-slope form of a line (y - y1) = m(x - x1), we can use either of the given points to write the equation of the line:
y - 0 = -1(x - 0)
y = -x.
Find the midpoint of each side of the square:
The midpoints of the sides of a square are also the midpoints of its diagonals.
The midpoint of AB is ((4+6)/2, (3+4)/2) = (5, 3.5).
The midpoint of BC is ((6+5)/2, (4+6)/2) = (5.5, 5).
The midpoint of CD is ((5+3)/2, (6+5)/2) = (4, 5.5).
The midpoint of DA is ((3+4)/2, (5+3)/2) = (3.5, 4).
Reflect the midpoints about the line:
To reflect a point (x, y) about the line y = -x, we can find the perpendicular distance (d) from the point to the line and use it to determine the reflected point.
The perpendicular distance d from the line y = -x to a point (x, y) is given by the formula:
d = (y + x) / √(2).
The coordinates of the reflected points can be found using the formula for reflection across a line:
x' = x - 2d / √(2)
y' = y - 2d / √(2).
Calculate the reflected vertices:
The coordinates of the reflected vertices are as follows:
A' = (4 - 2(3.5 + 5) / √(2), 3 - 2(3.5 - 5) / √(2))
B' = (6 - 2(5 + 5) / √(2), 4 - 2(5 - 5) / √(2))
C' = (5 - 2(5.5 + 5) / √(2), 6 - 2(5.5 - 5) / √(2))
D' = (3 - 2(4 + 5) / √(2), 5 - 2(4 - 5) / √(2))
Now we can plot the original square ABCD and its image A'B'C'D' on the same graph to visualize the reflection.
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Use the table to determine what percent of students prefer school
uniforms and what percent do not prefer school uniforms. What is the
relationship between these two percents?
School uniforms are preferred by 20% percent of students, but not by 80%.
What is meant by percentage?The percentage refers to a specific percentage out of a hundred. It is a fraction with the denominator 100, and the sign for it is 1%.
Another name for the percentage is the signifying hundredths. As a result, 2% is equal to two hundredths, or 2%=2/100=0.02.
20 students total (16 plus 4).
Desired percentage = Total minus 100
Number of prefer = Number of pupils overall / 100
Prefer rate = 4/20 multiplied by 100.
=20%
Now,
Number of non-prefers divided by the total number of pupils is equal to 100.
Number of people who don't prefer = 16/20 x 100.
80% of people don't prefer.
Therefore, just 20% of pupils prefer wearing school uniforms, while the other 80% do not.
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Which statement correctly identifies a local minimum of the graphed function? Over the interval [–3, –2], the local minimum is 0. Over the interval [–2, –1], the local minimum is 2.2. Over the interval [–1, 0.5], the local minimum is 1. Over the interval [0.5, 2], the local minimum is 4.
Answer:
C.
Step-by-step explanation:
As we can see on the graph C is our answer.
The correct local minimum of the graphed function is
Over the interval [-1, 0.5], the local minimum is 1.
What is Function?In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
1) In the interval [-3, -2] the local minimum is 0
The graph of the function at -3 goes to slightly less than -6 and increasing from there toslightly less than 1 on -2.
Thus the minimum value is the value at -3 which is not zero.
2) Over the interval [-2, -1] the local minimum is 2.2
The minimum value is value of the curve at -2 which is not 2.2
3) Over the interval [-1, 0.5] the local minimum is 1
The local minimum of the graph in this interval is the value at x=0 which is 1
4) Over the interval [0.5, 2] the local minimum is 4
The minimum value in this interval is value at 0.5 which from the graph, is not 4.
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in the figure, GK bisects FGH
if FGK=7w+3 and FGH=104, find W.
7
3.5
14.43
52
PLEASE HELP ME!!!!
Answer:
\( w = 7 \)
Step-by-step explanation:
Given:
m<FGK = (7w + 3)°
m<FGH = 104°
angle bisector of <FGH = GK
Required:
Value of w
SOLUTION:
Since GK bisects angle FGH, it divides the angle into two equal parts. Therefore, the following equation can be generated to find the value of w:
m<FGH = 2*m<FGK
\( 104 = 2*(7w + 3) \) (substitution)
Divide both sides by 2
\( \frac{104}{2} = \frac{2*(7w + 3)}{2} \)
\( 52 = 7w + 3 \)
Subtract 3 from each side
\( 52 - 3 = 7w + 3 - 3 \)
\( 49 = 7w \)
Divide both sides by 7
\( \frac{49}{7} = \frac{7w}{7} \)
\( 7 = w \)
\( w = 7 \)
Solve for x in the equation e2x = e7x−5.
The value of x in the equation e^2x = e^7x−5 is 1
How to solve for x in the equation?The equation is given as:
e^2x = e^7x−5.
Next, we compare the exponents
2x = 7x - 5
Evaluate the like terms
-5x = -5
Divide by -5
x = 1
Hence, the value of x in the equation e^2x = e^7x−5 is 1
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The ratio of two similar rectangles is 5:2, and the area of the larger on is 400 ft^2. What is the area of the smaller rectangle?
Answer:
400/5*2=160 ft^2
Step-by-step explanation:
Times the common multiple of 3 and 6, which is 6
The larger rectangle takes up 5 parts and the smaller one takes up 2 parts, so 400/5 is the area of one part, times 2
A randomized controlled study was designed to test whether regular drinking of cranberry juice can prevent the recurrence of urinary tract infections (UTIs) in women. 150150 women with a urinary tract infection were treated with an antibiotic and then randomly assigned to one of three groups. One group drank cranberry juice concentrate daily for six months; another group took a drink containing Lactobacillus, a lactose‑fermenting bacterium thought to help inhibit the growth of UTI‑causing bacteria, daily for six months; the last group served as the control group and drank neither cranberry juice nor Lactobacillus drinks for six months. After six months, the number of women in each group with recurring symptomatic urinary tract infection (defined as one or more new infections) was recorded. Here are the results.
Outcome
Treatment Recurring UTI No new UTI Total
Cranberry juice 8 42 50
Lactobacilllus 19 30 49
Control 18 32 50
1. Compute the chi-square statistic, degrees of freedom, and find the p-value for this test.
2. Range of the p-value (to three decimal places): < p-value <
Answer:
1. The chi-squared statistic = 10.36
The degrees of freedom = 17
The p-value for the test = 0.89
2. The range of the p-value from the Chi squared table = 0.75 < p-value < 0.90
Step-by-step explanation:
1. The Chi squared test is given as follows;
\(\chi ^{2} = \sum \dfrac{\left (Observed - Expected \right )^{2}}{Expected }\)
Therefore,
UTI No UTI % Total
Cranberry juice 8 42 84 50
Lactobacillus 19 30 61 49
Control 18 30 60 50
The chi-squared statistic is given as follows;
\(\chi ^{2} = \dfrac{\left (8- 18\right )^{2}}{18} + \dfrac{\left (42 - 30\right )^{2}}{30} = 10.36\)
The chi-squared statistic = 10.36
The degrees of freedom, df = 18 - 1 = 17 since the all of the expected count have a minimum value of 18
With the aid of the calculator we find the p value as p as follows;
\(p = 0.9 - \dfrac{10.36 - 10.085}{12.972 - 10.085} \times (0.9 - 0.75)\)
The p-value for the test = 0.89
2. The range of the p-value from the Chi squared table is given as follows;
0.75 < p-value < 0.90.
ASAP HELPPP PLEASE ANSWER CORRECT QUESTION!! GIVING OUT BRAINLY Stars!!!
Silas is researching the cost of a specific souvenir he wants to buy on his international trip.
Use the table to answer the question.
Country Currency Name Exchange Rate Per US Dollar Average Cost of Souvenir: Britain pound 0.83 British pounds 17. British pounds Egypt pound 18 Egyptian pounds 288 Egyptian pounds
Determine which country the souvenir would be less expensive in in US dollars. Show your work. (10 points)
Using proportions, it is found that due to the smaller division of the exchange rate by the cost, the souvenir would be less expensive in Egypt.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
The souvenir would be less expensive in the country in which the division of the exchange rate by the cost is smaller.
In Britain, the cost is of 17, with an exchange rate of 0.83, hence the cost in US dollars is:
c = 17/0.83 = $20.48.
In Egypt, the cost is of 288, with an exchange rate of 18, hence the cost in US dollars is:
c = 288/18 = $16.
16 < 20.48, hence the souvenir would be less expensive in Egypt.
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Keisha, Miguel, and Ryan sent a total of 103 text messages during the weekend. Ryan sent 3 times as many messages as Miguel. Keisha sent 8 more
messages than Miguel. How many messages did they each send?
Number of text messages Keisha sent:
Number of text messages Miguel sent:
Number of text messages Ryan sent:
Answer:
only god knows
Step-by-step explanation:
because they didn't give us an answer on how many text messages anyone sent