Answers
Answer:
sec t = 1/(cos t) = 1/(-3/4) = -4/3
Related Questions
What is the period of the function F(x) = -4sec (1/2 x)
A. 4 pi
B. pi
C. pi/2
D. 2 pi
Answers
Answer:
A) 4π
Step-by-step explanation:
The period of a secant function, f(x)=a*sec(bx+c)+d, is defined as 2π/|b| where b is the distance of the period. Since we know b=1/2 given by the function, then the period is 2π/|1/2|=2π/(1/2)=2π(2/1)=4π.
Please help ASAP
The painting shown at the right has an area of 280 in2. What is the value of x?
(4x+5) in.
(Simplify your answer. Round the final answer to the nearest hundredth as needed. Round all intermediate values to the nearest hundredth as needed. Use a comma to
separate answers as needed.)
Answers
Kaylah's cell phone has a mass of 58,000 centigrams What is the mass of her phone in grams? The mass of Kaylah's cell phone is ? grams.
Answers
The answer is 580 grams.
Lisa plays soccer 3 out of the 7 days of the week. How many possible schedules are there to play
soccer on Monday or Tuesday or both.
Ex: 5
Answers
Answer:
There are 25 possible schedules.
Step-by-step explanation:
The order in which they play soccer is not important(Monday and Tuesday is the same as Tuesday and Monday), and thus the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Monday but not Tuesday:
Monday(1) and 2 out of the remaining 7 - 2 = 5. So
[tex]C_{5,2} = \frac{5!}{2!3!} = 10[/tex]
Tuesday but not Monday:
Tuesday(1) and 2 out of the remaining 7 - 2 = 5. So
[tex]C_{5,2} = \frac{5!}{2!3!} = 10[/tex]
Monday and Tuesday:
Monday and Tuesday(1), plus one out of the remaing 5 days. So
[tex]C_{5,1} = \frac{5!}{1!4!} = 5[/tex]
Total:
10 + 10 + 5 = 25
There are 25 possible schedules.
A right triangle has coordinates ( − 3 , 4 ) , ( 3 , 6 ) , and ( − 1 , − 2 ) . What is the area of the right triangle?
Answers
Answer: 20 sq units
Step-by-step explanation:
A quick sketch graph will show the right angle is at (-3 ,4)
The lengths of the shorter sides are both sqrt(2^2 + 6^2) = sqrt(40)
Area = 1/2 x (sqrt(40))^2 = 20
If you didn’t have a right angle you could find the lengths of all sides a, b and c
Calculate the semi perimeter s = (a+b+c) / 2
And the area = sqrt(s(s-a)(s-b)(s-c))
Try and use this method to check the first one!
a skier travels 4 seconds and cover 72 meters. how long will it take the skier to travel 360 meters?
Answers
A sailor cut a 40 foot length of rope in two pieces. If the longer piece is five feet less than twice the shorter piece of rope, then how long is the longer piece.
Answers
Answer:
23ft longer
Step-by-step explanation:
The shorter piece is 15 feet, while the longer piece is 25 feet
Let the longer piece be y, and the shorter piece be x.
So, we have:
[tex]x + y = 40[/tex] --- the length of the rope
[tex]y =2x - 5[/tex] --- the relationship between the short and the long piece
Substitute 2x - 5 for y in [tex]x + y = 40[/tex]
[tex]x + 2x - 5 =40[/tex]
[tex]3x - 5 =40[/tex]
Add 5 to both sides
[tex]3x =45[/tex]
Divide both sides by 3
[tex]x =15[/tex]
Substitute 15 for x in [tex]y =2x - 5[/tex]
[tex]y =2 \times 15 -5[/tex]
[tex]y =30 -5[/tex]
[tex]y =25[/tex]
Hence, the shorter piece is 15 feet, while the longer piece is 25 feet
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A triangular prism has a height of 9 meters and a triangular base with the following dimensions. What is the surface area of the prism? 420 m 2 324 m 2 504 m 2 372 m 2
Answers
Answer:
420 m2
Step-by-step explanation:
Hope this helps
The surface area of the prism will be equal to 366 square meters.
What is surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any object is called the surface area.
Given that:-
A triangular prism has a height of 9 meters and a triangular base with the following dimensionsThe surface area of the prism will be calculated as:-
Surface area = Sum of the area of all sides
There are three rectangle faces and two triangular faces in the triangular prism.
Surface area = 3 ( area of rectangle) + 2 (area of triangle)
Suraface area= 3 ( 10 x 9 ) + 2 [( 1/2)(16 x 6)]
Surface area = 270 + 96 = 366 square meter.
Therefore the surface area of the prism will be equal to 366 square meters.
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he heights of young women aged 20 to 29 follow approximately the N(64, 2.7) distribution. Young men the same age have heights distributed as N(69.3, 2.8).Height is measured in inches.A young woman in that age group is randomly selected; independently, a young man in that age group is randomly selected. What is the probability that the young man is taller than the young woman by more than 5 inches
Answers
Answer:
0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Distribution of the difference in height between men and woman:
Applying the concept above:
[tex]\mu = 69.3 - 64 = 5.3[/tex]
[tex]\sigma = \sqrt{2.7^2 + 2.8^2} = 3.89[/tex]
What is the probability that the young man is taller than the young woman by more than 5 inches?
Probability of the difference being more than 5 inches, that is, 1 subtracted by the pvalue of Z when X = 5.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{5 - 5.3}{3.89}[/tex]
[tex]Z = -0.08[/tex]
[tex]Z = -0.08[/tex] has a pvalue of 0.4681
1 - 0.4681 = 0.5319
0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches
Alan has 11 nickels and
dimes in his pocket. When
he counted his change he
found he had $0.95. How
many dimes does Alan
have?
Answers
Answer:
4
Step-by-step explanation:
Nickels are 5 cents a piece so you will multiple 11 by 5 to find how much Alan has in nickels. Then subtract that from the total of 95 to get your answer.
11 × 5 = 55
95 - 54 = 40
Since dimes are worth 10 cents you divide 40 by 10 and that is how many dimes Alan has.
40/10=4
Using the information above, plot the data points and produce a sine regression model for the data. Round a, b, c, and d to the nearest 0.001. Then use your model to predict how much of the moon will be visible 65 days after Jan 8th, provided the sky is clear. Give your answer as a percent. a. 38% of the moon will be visible b. 9% of the moon will be visible c. 35% of the moon will be visible d. 99% of the moon will be visible
Answers
Answer:
B
y = 0.508 sine (0.212 x minus 1.529) + 0.512
Step-by-step explanation:
just took the test
P
Jimmy tried to solve the system of equations below, but he made an error
S 2.0
y=18
y= 40 +2
His work is shown. Find the error he made. Explain the error and show how to solve the sysm correctly.
1. 2.0 - 4.3 + 2 = 18
2.-2x = 16
3. = -8
4. y=4(-8) + 2
5. Y = -32 +2
6. y=-30
7. Check: 2 (-8) - (-30) = 18
8.
- 16 + 30 = 18
9 14 + 18
His mistake was on Line
because he should have
The correct solution is
Answers
Answer:
"His mistake was on line 1. He didn't distribute the negative sign (indicating a -1) to everything in the equation for y."
The correct solution is: x = -10, y = -38
Step-by-step explanation:
2x - y = 18
y = 4x + 2
Substitute the given value for y into the first equation:
2x - (4x + 2) = 18
2x - 4x - 2 = 18 ** here, he didn't distribute the (-) to everything in the parentheses that represents y
-2x -2 = 18
add 2 to both sides
-2x = 20
divide by -2
x = -10
-------------------
solve for y
y = 4x + 2
y = 4(-10) + 2
y = -40 + 2
y = -38
------------------
Check the math:
2x - y = 18
2(-10) - (-38) = - 20 + 38 = 18
Popcorn at the Movies - Exit Slip
You and a friend go to the movies and decide to share a large bucket of popcorn. Write a story to describe the graph.
Answers
Express the following measure in radians.
675°
Answers
Answer:
[tex]\frac{15\pi }{4}[/tex]
Step-by-step explanation:
Degrees to radians, multiply by pi/180
675pi/180
use a calculator to simplify
You get 15pi/4
The value of 675 degree is equivalent to [tex]\frac{15pi}{4}[/tex].
What is the formula to convert degree to radian?
The relation between radian and degree is given by Angle in radian=angle in degree*[tex]\frac{pi}{180}[/tex].
What is the conversion of 675degree?We will substitute 675 for angle in degree into the formula to get the value in radian.
[tex]\frac{675*pi}{180}[/tex]
This will be [tex]\frac{15pi}{4}[/tex].
Therefore, the correct answer is [tex]\frac{15pi}{4}[/tex].
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Solve the equation.
3(x−9)=30
Answers
Answer:
19
Step-by-step explanation:
3(x-9)= 3x-27
3x-27=30
3x=57
x=19
1. The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,290 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 153 of their customers and calculates that these customers used an average of 10,586kWh of electricity last year. Assuming that the population standard deviation is 2509kWh, is there sufficient evidence to support the power company's claim at the 0.05 level of significance? State the null and alternative hypotheses for the test.
2. The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,290 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 153 of their customers and calculates that these customers used an average of 10,446 kWh of electricity last year, Assuming that the population standard deviation is 2509 kWh, is there sufficient evidence to support the power company's claim at the 0.02 level of significance? Compute the value of the test statistic.
A. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company's claim that the mean amount of electricity for their residents is more than the national average.
B. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company claim that the mean amount of electricity for their residents is more than the national average.
C. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance to support the power company's claim that the mean amount of electricity for their residents is more than the national average.
D. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance to support the power company's claim that the mean amount of electricity for their residents is more than the national average.
Answers
Answer:
Kindly check explanation for (1)
2.)
B. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company claim that the mean amount of electricity for their residents is more than the national average.
Step-by-step explanation:
1.)
H0 : μ = 10290
H0 : μ > 10290
n = 153, sample mean, xbar = 10586 ; population standard deviation, σ = 2509 ; α = 0.05
Test statistic:
(xbar - μ) ÷ (σ/√(n))
(10586 - 10290) ÷ (2509/√(153))
296 / 202.84062
Test statistic (Z) = 1.46
We obtain the Pvalue :
Decision Region :
Reject H0 ; if Pvalue < α
Pvalue from Z test statistic calculator :
Pvalue = 0.072
Pvalue > α ; Hence, we fail to reject the Null ; there isn't sufficient evidence to support the power company's claim
2.)
H0 : μ = 10290
H0 : μ > 10290
n = 153, sample mean, xbar = 10446 ; population standard deviation, σ = 2509 ; α = 0.02
Test statistic:
(xbar - μ) ÷ (σ/√(n))
(10446 - 10290) ÷ (2509/√(153))
156 / 202.84062
Test statistic (Z) = 0.769
We obtain the Pvalue :
Decision Region :
Reject H0 ; if Pvalue < α
Pvalue from Z test statistic calculator :
Pvalue = 0.221
Pvalue > α ; Hence, we fail to reject the Null ;
B. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company claim that the mean amount of electricity for their residents is more than the national average.
A line goes through (-4,-5) and (2,-3). Write an equation that is perpendicular to the line above
Answers
9514 1404 393
Answer:
y = -3x
Step-by-step explanation:
The slope formula gives the slope of the segment between the given points.
m = (y2 -y1)/(x2 -x1)
m = (-3 -(-5))/(2 -(-4)) = 2/6 = 1/3
The slope of the perpendicular line is the opposite reciprocal of this, so is ...
m' = -1/(1/3) = -3
A perpendicular line is ...
y = -3x
Find the area. The figure is not to scale
Answers
Answer:
5.4 cm^2
Step-by-step explanation:
Given,
Height ( h ) = 2 cm
Base ( b ) = 5.4 cm
To find : Area ( triangle ) = ?
Formula : -
Area ( triangle ) = bh / 2
Area ( triangle )
= 5.4 x 2 / 2
= 5.4 cm^2
the price of a sandwich decreases from $8 to $6 what is the percentage decrease in the price of the sandwich
Answers
Answer:
The percentage decrease is 25%.
Step-by-step explanation:
The difference in price is $2:
$8 - $6 = $2
Now to find the percentage decrease, we use the formula decrease in price divided by original price (or new/old) times 100:
2/8 * 100.
This equals 200/800 which is 25%.
In a storeroom,there are 30 blue balls,48 green balls,some red balls and some white balls. there are 3 times as many green balls as red balls and 5 times as many blue balls as white balls.
(a) How many balls are there altogether?
(b) How many balls are left in the room if 7/10 (fraction) of the balls are taken away?
pls help me answer both
Answers
Answer:
7/30
Step-by-step explanation:
We first have 7 blue and 3 red out of 10, so P(1st ball is red) = 3/10
Now, we have pulled a red ball out of the bag, leaving us with 7 blue and 2 red out of 9 total balls.Then P(2nd ball is blue) = 7/9. Put this together, P(1st red AND 2nd blue) = 3/10⋅7/9 =7/30
ANSWER FAST I JUST NEED ANSWER HURRY PLSSSS!
Answers
Answer:
1?
Step-by-step explanation:
im not sure im prolly wrong and not fast enough
Find each angle measure to the nearest degree
1) Find m.
5
S
R
5.7
T
please help, show work if possible :)
Answers
Answer:
RS=26.49 m;
ST =14.08 m;
m<R =28°
Step-by-step explanation:
In parallelogram ABCD, the measure of angle B is 107°.
(a) What is the measure of d
(b) What is the measure of a
Answers
A= 73
here you go
3. Assume all angles are right angles. What is the area of the figure? 12 m 8 m 10 m 16 m 12 m 12 m 1536 square meters b. 408 square meters C. 360 square meters d. 102 square meters
Answers
C. 360 Square meters
........
The total area is 360 square meter.
What is Area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.
Given:
We get Three Rectangle
First Rectangle:
length = 12 m
width = 16 m
So, Area = 12 x 16 = 192 square meter.
Second Rectangle:
length = 8 m
width = 12 m
So, Area = 8 x 12 = 96 square meter.
Third Rectangle:
length = 12 m
width = 6 m
So, Area = 12 x 6 = 72 square meter.
Thus, the total area = 192 + 96+ 72 = 360 square meter.
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Simplify the expression. 7x + 6 + 3x -2 -5x
Answers
Answer:
5x+4
Step-by-step explanation:
5x + 6 - 2
5x + 4
write the first five terms of the sequence.. NO LINKS!!!
Answers
Answer:
5,50,500,5000,50000
Step-by-step explanation:
The first term is given
a1 =5
The second term is when n=2
a2 = 10 * a1 = 10 * 5 = 50
The third term is when n=3
a3 = 10 * a2 = 10 * 50 = 500
The fourth term is when n=4
a4 = 10 * a3 = 10 * 500 = 5000
The fifth term is when n=5
a5 = 10 * a4 = 10 * 5000 = 50000
A sequence is shown below
6, 8, 10, 12, 14
Which function represents this sequence?
A. f(n) = 4 + 2(n - 1)
B. f(n) = 4 + 2(n + 1)
C. f(n) = 6 + 2(n - 1)
D. f(n) = 6 + 2(n + 1)
Answers
Answer:
[tex]c \: is \: correct \\ you \: can \: put \: 1 \: 2 \: 3 \: 4numbers \: in \: equations \: and \: find \: best \: answer[/tex]
Elise randomly surveyed students at her school to find out their favorite music. the table shows the results if Elise’s survey. if there are 400 students at Elise’s school, how many can she predict will like pop the best?
Answers
Answer:
125 students
Step-by-step explanation:
according to this survey, she surveyed 80 people, and of the 80 people she surveyed, 25 of them said they like pop best
set up a proportion to find how many students will like pop if there are 400 students at her school:
25/80=x/400
80x=10000
x=125
125 students
WHAT IS THE ANGLE MEASUREMENTS?? AND TELL ME HOW YOU GOT IT.
PLEASE ANSWER !! ILL GIVE BRAINLIEST !!
50 POINTS !!
FAKE ANSWERS WILL GET REPORTED .
Answers
Find the value of x
Answers
Answer:
x = 30
Step-by-step explanation:
24(24 + x) = 36² => tangent-secant theorem
Open the bracket
24*24 + 24*x = 36²
576 + 24x = 1,296
24x = 1,296 - 576
24x = 720
Divide both sides by 24
24x/24 = 720/24
x = 30