Answer:
B
Step-by-step explanation:
We can use the following co-function identity:
\(\sin(x)=\cos(90-x)\)
Substuting 35 for x yields:
\(\sin(35)=\cos(90-35)\)
Subtract:
\(\sin(35)=\cos(55)\)
Hence, our answer is B.
I dont understand this question at all, please answer w/ explanation if you can
Answer:
The answer is C.
Step-by-step explanation:
3.844 X 10 w/ power of 5= 384400
2 X 10 w/ power of 3= 2000
2000 x 384400= 768800000
7.688 x 10 w/ power of 5 = 768800
Answer:
Jupiter to Sun = 7.688 * 10⁸km
Jupiter to Sun = 2 * 10³ times Earth to Moon
Substitute 3.844 * 10⁵km for Earth to Moon
Jupiter to Sun = 2 * 10³ * 3.844 * 10⁵km
Jupiter to Sun = 2 * 3.844 * 10³ * 10⁵km
Jupiter to Sun = 7.688 * 10³ * 10⁵km
Jupiter to Sun = 7.688 * 10⁸km
Therefore, the answer would be C. 7.688 * 10⁸km
Express the product of (2x+5/2) and (x-1) as a trinomial in simplest form
Answer:
\(\displaystyle 2x^2 + \frac{x}{2} - \frac{5}{2}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
\(\displaystyle (2x + \frac{5}{2})(x - 1)\)
Step 2: Expand
[Trinomial] FOIL: \(\displaystyle 2x^2 - 2x + \frac{5}{2}x - \frac{5}{2}\)[Trinomial] Combine like terms: \(\displaystyle 2x^2 + \frac{x}{2} - \frac{5}{2}\)What is the slope of the line created by this equation?
Round your answer out to two decimal places.
9x+4y = 4
\(9x+4y=4\implies 4y=-9x+4\implies y=\cfrac{-9x+4}{4} \\\\\\ y=\cfrac{-9x}{4}+\cfrac{4}{4}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{9}{4}}x+1\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)
Find the probability of
1: choosing a yellow marble from a bag that contains 6 yellow marbles and 8 red marbles,
and
2: flipping a coin and it showing heads.
Answer:
1ans) 6/14 or 3/7 probability
2ans) 1/2 or a 50% chance
2/3(6x-1/6) + 3x simplify the expression
Answer:
\(21x \: - \frac{1}{3} \\ 3\)
We will use 200 simple random samples, each of size 50, from a given population to calculate a series of 95% confidence intervals to estimate begin mathsize 12px style mu end style. Approximately how many of the 200 intervals will contain the population mean? 95 200 190 180
Approximately 190 of the 200 intervals will contain the population mean.
We have,
When constructing a 95% confidence interval, we expect that about 95% of the intervals will contain the population mean.
Since we are using 200 samples, and each sample produces one interval, we can estimate the number of intervals that will contain the population mean by multiplying the probability (95%) by the total number of intervals (200).
Mathematically:
Number of intervals containing the population mean = Probability of interval containing the population mean * Total number of intervals
Number of intervals containing the population mean = 0.95 x 200
Number of intervals containing the population mean ≈ 190
Therefore,
Approximately 190 of the 200 intervals will contain the population mean.
Learn more about confidence intervals here:
https://brainly.com/question/32546207
#SPJ4
Find the area of the shape. the radius is 8
Answer
100.57 square units
Explanation
The area of a circle is given as
Area = πr²
The area of a semi-circle is half of the area of a circle.
Area of a semi-circle = ½ (πr²)
r = radius = 8 units
Area of a semi-circle = ½ (πr²)
= ½ [π (8²)]
= ½ (64π)
= 32π
= 100.57 square units
Hope this Helps!!!
(a) A line passes through the points (a,0) and (0,b). Find the Equation of the line. (b) Given that a line, L passing through the point (0,2) is perpendicular to the line 2y = 5x + 3, find the point of intersection of the line L with the line 2x = 3y - 5
Try this option, note, the answers are marked with orange colour.
(HELP PLEASE) graph and shade the solution of the system of enequalities below (HELP PLEASE!)
A plane is beginning to descend when it is 10,000 feet in the air. The straight line distance (hypotenuse) to the airport is 25,000 feet. What is the angle of depression at which the plane began its descent? Round your answer to the nearest degree.
Answer: 35,000
Step-by-step explanation:
Asher please $156 every six weeks for piano lessons what is the price per year for piano lessons
1. Jake is reading a book for a class assignment. He creates a plan to read the book over an 8 day
period. Use the table below to create a graph of this accounts. Y
Day's
0
2
4
6
8
Pages
Read
0
54
108
162
216
a. What does x represent?
b. What does y represent?
c. Describe the slope of the line.
What does it represent?
d.what is the slope?
The analysis of the data in the table, which is a linear relationship between the pages Jake reads to the number of days is as follows;
1. Please find attached the graph of the data in the table created with MS Excel
a. The variable x represents the number of days Jake reads the book
b. The variable y represents the number of pages Jake reads
c. The slope is the rate of change of the pages Jake reads to the number of days he has been reading the book
d. The slope is 27 pages per day
What is a linear relationship?A linear relationship is a relationship that has a straight line graph when plotted on the coordinate plane.
1. The data in the table are presented as follows;
Days\({}\) Pages Read
0\({}\) 0
2\({}\) 54
4\({}\) 108
6\({}\) 162
8\({}\) 216
Please find attached the graph created with the above data in the table for the Days and the number of Pages Jake read, created with MS Excel.
a. The input variable is normally represented by x, while the output variable is normally represented by y.
The input variable, which is the variable that determines or indicates the number of pages Jake reads is the number of days, therefore;
The value of x represents the number of days
b. The output variable obtained from the input variable which is the number of days is the number of books Jake reads, therefore;
The output variable, y, represents the number of books Jake reads
c. The slope is the rate of change of the number of pages Jake reads per unit time. Therefore, the slope represents the number of pages Jake reads per day.
d. The graph of the data in the table indicates that the relationship is a straight line relationship,the slope can therefore be obtained using two points as follows;
Slope, m = (108 - 0)/(4 - 0) = 27
The slope of the line is 27 pages per day
Learn more about linear functions here: https://brainly.com/question/29869165
#SPJ1
Factor completely: 49x² - 4
Answer:
Factor 49x^2-4 49x2 − 4 49 x 2 - 4 Rewrite 49x2 49 x 2 as (7x)2 (7 x) 2. (7x)2 − 4 (7 x) 2 - 4 Rewrite 4 4 as 22 2 2.
Step-by-step explanation:
Hoped it helped
Answer:
(7x-2)(7x+2)
Step-by-step explanation:
This was the easiest thing I had in Analytic Geometry!!
Plot the following equation in the complex Cartesian plane: 2Re(z) m(z 2 ) −3≥ Im(iz)
The equation to plot in the complex Cartesian plane is 2Re(z) - |z²| ≥ -3Im(iz).
To plot the equation 2Re(z) - |z²| ≥ -3Im(iz) graphically, you can follow these steps:
1. Represent the complex number z in terms of its real and imaginary parts, z = x + yi, where x is the real part and y is the imaginary part.
2. Substitute the values of x and y into the equation and simplify it.
3. Separate the equation into real and imaginary parts.
4. For each part, plot the corresponding inequality on the Cartesian plane.
- For the real part, plot the inequality 2x - |(x + yi)²| ≥ -3y.
- For the imaginary part, plot the inequality 0 ≥ 0 (as -3Im(iz) = 0 for all values of x and y).
5. Determine the common region that satisfies both inequalities. This region represents the solution to the original equation.
Learn more about complex number
https://brainly.com/question/20566728
#SPJ11
One way to build stairs is to attach triangular blocks to an angled support, as shown at the right. If the support makes a 32° angle with the floor, what must mâ 1 be so the step will be parallel to the floor? The sides of the angled support are parallel. *
There are 7 girls to every 5 boys. If there are 84 students in all, how many are boys?
how to simplify a ratio with units
Answer:
1. Convert the larger unit to the smaller unit
2. Simplify the ratio as normal
Step-by-step explanation:
simplify 25mm : 5cm
convert the centimetres into millimeters by multiplying by 10.
5×10=505cm=50mm
simplify by dividing by 25
25:50÷25=1:2
Solve
9
-
)
12
OA)
0010
100
8
OB)
OC)
5
12
OD)
olu
5
12
Which is not a class of rock?
igneous
sedimentary
disturbed
none of the above
Answer:Disturbed is not a type of rock so ya
CAN I PLZ HAVE BRAINLILEST I ONLY NEED ONE MORE
Data Set 20
$3.04 $7.07 $2.82 $3.03 $3.28 $4.91 $4.09 $5.49 $5.02 $4.15 $4.53 $3.06 $5.56 $6.08 $2.87 $4.56 $5.20 $2.48 $4.12 $3.55 $3.49 $6.24 $5.01 $2.43 $4.70 $2.31 $7.41 $7.09 $4.81 $6.62 From the data set of fuel prices above; · Find the mean and standard deviation for the data set. Please do not try to do this by hand, but use the functions in Excel. · Find the Confidence Interval for your data. Sample initial post: First find the mean and standard deviation.
Then put this in an excel cell =confidence.norm(0.5,stdev,samplesize) and hit enter. This is the E value. (Note: please use your standard deviation and sample size and not the words.)
Set up your confidence interval: (mean-E, mean+E)
Formula you used above for the confidence interval:
The formula is E= zsubc * sigma / sqrt n
Where the left hand endpoint is xbar - E and the right hand endpoint is xbar + E
The mean of the given fuel prices data set is $4.61 with a standard deviation of $1.62.
To calculate the mean and standard deviation in Excel, you can use the following functions:
Mean: The AVERAGE function calculates the mean of a range of values. In this case, enter "=AVERAGE(A1:A30)" in an Excel cell, assuming the data is in cells A1 to A30.
Standard Deviation: The STDEV.S function calculates the standard deviation of a range of values. Enter "=STDEV.S(A1:A30)" in an Excel cell to calculate the standard deviation of the data set.
Using the mean ($4.61) and standard deviation ($1.62), we can now proceed to calculate the Confidence Interval.
The Confidence Interval can be determined using the formula: E = Z * (σ / √n)
In the formula, Z is the z-score corresponding to the desired level of confidence (e.g., 95% confidence corresponds to a z-score of approximately 1.96), σ is the population standard deviation (which can be estimated using the sample standard deviation in this case), and n is the sample size.
Let's assume we want a 95% confidence interval for the data set with a sample size of 30. We can use the formula "=CONFIDENCE.NORM(0.05, STDEV, 30)" in an Excel cell to calculate the E value.
Substituting the values into the formula, we get E = 1.96 * (1.62 / √30) ≈ 0.595.
Now, we can set up the confidence interval using the mean and E value:
Confidence Interval = (mean - E, mean + E)
Confidence Interval = ($4.61 - $0.595, $4.61 + $0.595)
Confidence Interval = ($4.015, $5.205)
Therefore, the 95% Confidence Interval for the given fuel prices data set is approximately $4.015 to $5.205.
In summary, the mean of the fuel prices data set is $4.61 with a standard deviation of $1.62. The 95% Confidence Interval for the data is approximately $4.015 to $5.205.
Learn more about mean here
https://brainly.com/question/1136789
#SPJ11
Your company wants to purchase some equipment for recycling metals. Machine A costs $323,000 and has a useful life of 10 years. Its operating costs are $2.40 per ton of metal processed. Machine B costs $178,000 and has a useful life of 6 years. Its operating costs are $8.00 per ton of metal processed. How many tons of metal per year must your company process to favor Machine A over Machine B? Assume an MARR of 18% per year.
Previous question
Next question
To determine the number of tons of metal per year needed for Machine A to be favored over Machine B, we compare their costs. Machine A costs $323,000 with an annual operating cost of $2.40/ton, while Machine B costs $178,000 with an annual operating cost of $8.00/ton. The machines have useful lives of 10 years and 6 years, respectively, and the minimum attractive rate of return (MARR) is 18% per year.
By calculating the equivalent annual costs (EAC) for each machine using the given formula and comparing them, we can determine the point at which Machine A becomes more favorable. However, specific values for the discounting factors and the tons per year needed are missing, making it impossible to provide an exact answer.
Learn more about investment analysis here: brainly.com/question/32546870
#SPJ11
Question 1 This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Describe how the graph of g(x) = - 1/2 * (x + 4) ^ 2 - 1 is related to the graph of the parent function
The graph of f(x) = x ^ 2 is reflected across the ___ and___ vertically. The graph translated 4 units ___ and 1 unit ___
Part B Select the correct graph of g(x) = - 1/3 * (x + 4) ^ 2 - 1
Answer:
The graph of f(x) = x ^ 2 is reflected across the y-axis and reduced or shrunk by 1/3 vertically. The graph translated 4 units to the left and 1 unit Down
Step-by-step explanation:
The graph of f(x) = x ^ 2 is reflected across the y-axis and reduced or shrunk by 1/3 vertically. The graph translated 4 units to the left and 1 unit Down.
Y axis because it's multiplied by -1/3 which is negative
Reduced or shrunk by 1/3 because 1/3 is a fraction
4 units to the left because (x+4) What x=0 could do now the x=-4 can do so the graph shifted to the left
And 1 unit down because of the -1 at the end.
Check the picture below on the left-hand-side, that's just a transformations template, so hmmm let's use that to rewrite g(x)
\(g(x)=\stackrel{A}{-\frac{1}{3}}(\stackrel{B}{1}x\stackrel{C}{+4})^2 \stackrel{D}{-1} \\\\[-0.35em] ~\dotfill\\\\ A=-\cfrac{1}{3}\qquad \textit{flipped upside-down and stretched by a factor of 3}\\\\ B=1\qquad C=+4\qquad \textit{horizontal shift of }\frac{4}{1}\textit{ to the left}\\\\ D=-1\qquad \textit{vertical shift downwards of 1 unit}\)
Check the picture below on the right-hand-side.
what does 5 1/2 + 3 1/4 + 3 + 4 1/2 + 3 +3 2/5 equal also this is for Middle School not high school
Answer:
I think it's 22.65 but I'm not for sure
What is a scale factor of 2
Answer:
A scale factor of 2 could be in fact 4 because you can factor 2 twice to give you 4
Step-by-step explanation:
PLEASE HELP ME
ILL GIVE YOU BRAINIEST
PLEASE ASAP
Answer:
b
Step-by-step explanation:
After my salary was increased by $16\%,$ it was $\$52{,}200$. What was my salary before the increase
%, a relative figure signifying hundredths of any amount. Before the raise, I was making $45,000.
What is percentage?A percentage that represents a tenth of a quantity. In essence, percentages are fractions with a denominator of 100. The percent symbol (%) is placed next to a number to indicate that it is a percentage. For instance, you would have received a 75% on the examination if you correctly answered 75 out of 100 questions (75/100).
Calculating a percentage involves dividing an item by its sum and multiplying the result by 100.
Considering the query
It was $52,200 after a 16% raise in my pay.
In light of the conditions stated, come up with
\($=\frac{52200}{1+16 \%}$$=\frac{52200}{1+0.16}$$=\frac{52200}{1.16}$$=\frac{5220000}{116}$\)
= $45000
Before the raise, I was making $45,000.
Therefore, the answer is $45,000.
To learn more about percentage refer to:
https://brainly.com/question/24877689
#SPJ4
elizabeth's family went to nyc for their vacation. at the gift shop on liberty island, valerie bought three t-shirts and four keychains for $134, and jennifer bought four t-shirts and five key chains for $175. find the price of each item.
Using the elimination method, the price of one t-shirt is $30 and one key-chain is $11.
In the given question, Elizabeth's family went to NYC for their vacation.
At the gift shop on Liberty Island, Valerie bought three t-shirts and four key chains for $134, and Jennifer bought four t-shirts and five key chains for $175.
We have to find the price of each item.
Let the price of one t-shirt = $x
Let the price of one Key chain = $y
According to question
Price of three t-shirts and four key chains = $134
So the equation is
3x + 4y = $134……………….(1)
Also,
Price of four-shirts and five Key chains = $175
So the equation is
4x+5y = $175……………………..(2)
Now solving the equation using the elimination method.
Multiply Equation (1) by 5 and Equation (2) by 4, we get
15x+20y = 670....................(3)
16x+20y = 700......................(4)
Subtract equation 4 and 3, we get
x = 30
Now put the value of x in equation 1,
3*30 + 4y = $134
90+4y=$134
Subtract 90 on both side, we get;
4y = 44
Divide by 4 on both side, we get;
y = 11
Hence, the price of one t-shirt is $30 and one key-chain is $11.
To learn more about elimination method link is here
brainly.com/question/14619835
#SPJ4
Uh please help me, I need a step by step answer.
Answer:
B 1296
Step-by-step explanation:
Area of a rectangle = Length × Width
Area of a triangle = \(\frac{1}2\) × Base × Height
3 sides are rectangles with the measurements of (9mm by 21mm)
So 3(9 × 21) = 567mm^2
6 sides are rectangles with the measurements of (9mm by 9mm)
So 6(9 × 9) = 486mm^2
1 side is a rectangle with the measurements of (9mm by 15mm)
So (9 × 15) = 135mm^2
2 sides are triangles with unknown, but equal bases.
To calculate the base, you subtract 9 from 21: 21 - 9 = 12mm
Therefore the base = 12mm
The other measurement can be found by looking to the left of the triangle (9mm from the side)
So 2(\(\frac{1}2\) × 12 × 9) = 108mm^2
Add the sides up:
567 + 486 + 135 + 108 = 1296 mm^2
what is the solution of x-6=2
Answer:
x=8
Step-by-step explanation:
You have to add 6 to both sides in order to get x by itself.
ASAP HELpppppppppppppppppppppppppppppppppppppppppppppp
Answer:
5
This is essentially the third identical question that you posted with the same
type of solution ... if you look at the previous question you asked and the explanation.. you will see that the red line crosses a corner of a box at (4,20)
4 cups = 20 pralines thus the number you are looking for is 20/4 = 5
Step-by-step explanation:
lets try this "story" to explain...
assume that you can walk 3 miles in 1 hour
this means that at 0 hr you go 0 miles , 1 hr you go 3 miles etc
0,0
1,3
2,6
3,9
etc.
if you graph that you will have the red line in you graph, and the x values would be 0,1,2,3 with the y values being 0,3,6,9....
if you DIVIDE any of those points
3/1 ,6/2, 9,3 the result is always a "3" that is the speed that you are walking at
it is a CONSTANT (in this problem) ... note: if the speed is NOT constant then this basically becomes a calculus problem, ant an algebra one.