Answer:
21/4
Step-by-step explanation:
3sin²60 + cot²30
sin 60 = √3/2
cot 30 = √3
Substituting values in equation,
3(√3/2)² + (√3)²
=> 3(3/4) + 3
=> 9/4 + 3
=> 9/4 + 12/4
=> 21/4
What is the domain of y= tan(x)?
Answer:
Step-by-step explanation:
The domain of the function y=tan(x) ) is all real numbers except the values where cos(x) is equal to 0 , that is, the values π2+πn for all integers n . The range of the tangent function is all real numbers.
The area of the kite is 30 m2. What is the value of x? Explain
Answer:
x = 5
Step-by-step explanation:
a bakery sold 31 bagels in the first hour of business and 42 bagels in the second hour. if the baker had 246 bagels to start, how many bagels were left after the second hour?
Answer:
173 bagels were left after the second hour!!
Step-by-step explanation:
Solve 124m – 23=34 for m.
Answer:
0.45967741
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
m
=
57
124
Decimal Form:
m
=
0.45967741
…
Lawns by Brawns uses 13 ounces of fertilizer for 6.5 acres. Assume the company is fertilizing 0.5 of an acre. How much fertilizer does it need
Amount of fertilizers required for 0.5 acres = 1 onces.
What is unitary method?Unitary method is a process with the aid of which we discover the fee of a unmarried unit from the cost of multiple units and the cost of a couple of gadgets from the fee of a unmarried unit. it's far a method that we use for most of the calculations in math.
The technique wherein first we discover the fee of one unit after which the price of the desired wide variety of devices is known as the Unitary method.The formula for unitary approach is to find the price of a unmarried unit after which locate the value of extra or fewer devices by way of multiplying their quantity with the value of a unmarried unit.
In case we are having the cost of multiple items with us, then we are able to genuinely divide the entire cost with the quantity of units to get the price of 1 unit and this technique is known as the unitary method. In easy terms, the unitary method is used to locate the cost of a unmarried unit from a given multiple.
Unitary approach is the technique via which we discover the value of a unmarried unit from the value of multiple units and then use this price to locate the cost of the specified wide variety of devices. cost of many devices.
explanation;
13 0nces of fertilizers required for 6.5 acres
for 1 acres land = 13 / 6.5
onces of fertilizers required = 2 onces
for 0.5 acres = 2 *0.5 = 1 onces of fertilizers required.
Hence required fertilizers = 1 onces.
Learn more about unitary method here:-https://brainly.com/question/24587372
#SPJ2
Identify the consequences (i.e., increase, decrease, no change) that the following procedures are likely to have on bias and sampling error in an experimental study. Assigning treatments to subjects alphabetically Increase sample size Calculating power Applying every treatment to every experimental unit in random order Using a sample of convenience instead of a random sample Testing only one treatment group without a control Using a balanced design Informing the human participants of which treatment they will receive
Answer:
A) Bias: Increase
Sampling error: No change
B) Bias: No change
Sampling error: Increase
C) Bias: No change
Sampling error: No change
D) Bias: Increase
Sampling error: No change
E) Bias: Increase
Sampling error: No change
F) Bias: Increase
Sampling error: No change
G) Bias: No change
Sampling error: Decrease
H) Bias: Increase
Sampling error: No change
Step-by-step explanation:
A) Assigning treatments to subjects alphabetically: In this method, treatments are not assigned randomly but alphabetically and thus, it leads to an increase in bias because it's possible that one letter may be favoured over the other. Whereas, sampling error will not change because there's no effect on the sample size.
Thus;
Bias: Increase
Sampling error: No change
B) Increase sample size: In this method, it's only the probability of sampling error that will be increased because the more the sample, the higher the room for error.
Thus;
Bias: No change
Sampling error: Increase.
C) Power is the probability of rejecting the null hypothesis when the alternative hypothesis is true.
Now, this has no effect on the bias or sampling error.
Bias: No change
Sampling error: No change
D) Applying every treatment to every experimental unit in random order: In this there is possibility of an increase in bias because it's possible that some units may or may not have as much treatment as others. But it doesn't affect sampling. Thus;
Bias: Increase
Sampling error: No change
E) Using a sample of convenience instead of a random sample: In this method, there is a high risk of an increase in bias because the sample was selected conveniently instead of randomly. Thus;
Bias: Increase
Sampling error: No change
F) Testing only one treatment group, without a control group; In this method, since there is no control group, there is high probability of an increase in bias but it doesn't affect sampling error.
Thus;
Bias: Increase
Sampling error: No change
G) Using a balanced design; In this method, it means we will not have any bias as the result will be very fair, however it means there would be less of sampling error due to the fair nature of the design. Thus;
Bias: No change
Sampling error: Decrease
H) Informing the human participants of which treatment they will receive; In this method, since the human participants are informed of which treatment they would receive they could alter their responses which would lead to an increase in the bias. Whereas, it would have ko effect on the sampling error. Thus;
Bias: Increase
Sampling error: No change
Solve for X
1/5 X + 1/2 = 1
Answer:
X = 5/2
Step-by-step explanation:
I will assume that you meant (1/5)X + 1/2 = 1. The LCD is 10.
Multiplying both sides by 10, we get:
2X + 5 = 10, or 2X = 5, or X = 5/2
A theater has 35 seats in the first row. Each row has four more seats than the row before it. Which expression represents the number of seats in the nth row?
Answer:
35x4
Step-by-step explanation:
ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd x/8+3=12
if 2 X + 1 ,2 x-1 and 3 X + 4 are in AP find the value of x
Answer:
x = - 7
Step-by-step explanation:
Given that the terms are in AP , then
a₃ - a₂ = a₂ - a₁ , substitute values
3x + 4 - (2x - 1) = 2x - 1 - (2x + 1) ← distribute and simplify both sides
3x + 4 - 2x + 1 = 2x - 1 - 2x - 1
x + 5 = - 2 ( subtract 5 from both sides )
x = - 7
Given the function h(x)=-x^2-5x+14 determine the average rate of change of the function over the interval -9
Answer:
The average rate of change of the function over the interval is of 6.
Step-by-step explanation:
Average rate of change:
The average rate of change of a function h(x) over an interval [a,b] is given by:
[tex]A = \frac{h(b)-h(a)}{b-a}[/tex]
In this question:
Over the interval [-9,-2], so [tex]a = -9, b = -2, b - a = -2 -(-9) = 7[/tex]
The function is:
[tex]h(x) = -x^2 - 5x + 14[/tex]
[tex]h(-9) = -9^2 -5(-9) + 14 = -81 + 45 + 14 = -22[/tex]
[tex]h(-2) = -2^2 -5(-2) + 14 = -4 + 10 + 14 = 20[/tex]
Then
[tex]A = \frac{h(-2)-h(-9)}{7} = \frac{20-(-22)}{7} = \frac{42}{7} = 6[/tex]
The average rate of change of the function over the interval is of 6.
Audrey tosses a coin and rolls a six sided die. Find the probability that the coin lands on heads and the die lands on an even number. All answers should be given as a fraction in simplest form!!
Any help would be appreciated, Thanks!
Answer:
p = 1/4
Step-by-step explanation:
probability that the coin lands on heads
p = 1/2
the die lands on an even number
p = 3/6 = 1/2
Both
p = 1/2 * 1/2
p = 1/4
What does it mean when the result of solving a linear equation is x = 0?
a.
no solution
c.
the equation must be wrong
b.
zero is a valid solution
d.
like terms were not combined correctly
Please select the best answer from the choices provided
A
B
C
D
Answer:
a.no solution
Step-by-step explanation:
The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation. ... If you substitute these values into the original equation, you'll see that they do not satisfy the equation
If the graph of a linear equation is translated 4 units down, which statement best describes the change to the equation?
A.The y-intercept of the equation is decreased by 4.
B.The y-intercept of the equation is increased by 4.
C.The slope is changed by a factor of −4
D.The slope is changed by a factor of 4.
The slope is not affected. The y-intercept does not increase. The correct option is A.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
A translation in mathematics moves a shape left, right, up, or down but does not turn it. The translated (or image) shapes appear to be the same size as the original shape, indicating that they are congruent. They've just moved in one or more directions.
Given that if the graph of a linear equation is translated 4 units down. The slope remains unaffected. The y-intercept does not grow.
To know more about coordinate geometry follow
https://brainly.com/question/18493427
#SPJ6
A prism has a pentagonal base. The
area of the pentagon is 45 cm2, the
height of the prism is 13 cm. Find the
volume of the prism.
Answer:
585[tex]cm^{3}[/tex]
Step-by-step explanation:
45 x 13 = 585
Let me explain...
we don't know the length and the width but it is telling us that there is an area of 45 centimeters. Meaning the Length x Width is equal to the area. so there wasn't no need to solve for length and width.
So that's why we only had to multiply the 45 (Length x width) and the height which is 13.
Final Answer: 585[tex]cm^{3}[/tex]
In a survey of randomly selected 3,900 family-owned businesses with revenues exceeding $1 million a year, it was found that 1,911 of them had no strategic business plan. a) Use a 90% confidence interval to estimate the proportion of family-owned businesses without strategic business plans. Give an interpretation of this interval. (5 Points) b) Would a 99% confidence interval be wider or narrower than the one you calculated in part (a)
Answer:
a) The 90% confidence interval to estimate the proportion of family-owned businesses without strategic business plans is (0.4768, 0.5032). This means that we are 90% sure that the true proportion of all family-owned businesses without strategic business plans is between these two values.
b) Wider
Step-by-step explanation:
Question a:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
In a survey of randomly selected 3,900 family-owned businesses with revenues exceeding $1 million a year, it was found that 1,911 of them had no strategic business plan.
This means that [tex]n = 3900, \pi = \frac{1911}{3900} = 0.49[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.49 - 1.645\sqrt{\frac{0.49*0.51}{3900}} = 0.4768[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.49 + 1.645\sqrt{\frac{0.49*0.51}{3900}} = 0.5032[/tex]
The 90% confidence interval to estimate the proportion of family-owned businesses without strategic business plans is (0.4768, 0.5032). This means that we are 90% sure that the true proportion of all family-owned businesses without strategic business plans is between these two values.
Question b:
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The higher the confidence level, the higher the value of z, thus the higher the margin of error and the interval is wider. Thus, a 99% confidence interval is wider than a 90% confidence interval.
This Histogram displays the prices in thousands of dollars of seven cars
currently on sale at a local dealership.
Which statement is true about this data?
a) the most expensive car on the lot costs exactly $60,000.
b) the median price is between $20,000 and $30,000.
c) there must be no mode in this data set
d) the prices of five cars must be less than the mean
Answer:
b
Step-by-step explanation:
The median price is between $20,000 and $30,000.
i got it right on the quiz :)
Answer:
B
Step-by-step explanation:
i did the test... a got it correct..
A middle school science teacher wants to conduct some experiments. There are 15 students in the class. The teacher selects the students randomly to work together in groups of five. a. In how many ways can the teacher combine five of the students for the first group if order is not important? (3 points) b. After the first group of five is selected, in how many ways can the teacher combine five of the remaining students if order is not important? (3 points)
Answer:
The answers are:
a. 3
b. 2 by 2
What is the function graphed below?
9514 1404 393
Answer:
B. y = x + 0.5
Step-by-step explanation:
The y-intercept of 0.5 eliminates choices A and C.
When x increases by 1, y increases by 1, eliminating choice D.
The equation of choice B is graphed.
y = x + 0.5
write a trigonometric expression for the refracted angle and write the refracted angle in terms of distance d and material width w
Answer: The Diagram of the refracted angle is attached below
answer : ∅ = cos^-1 ( w/d )
Step-by-step explanation:
The trigonometric expression for the refracted angle
with respect to ; Distance ( d ) and width ( w )
Cos ∅ = Adjacent / Hypotenuse ----- ( 1 )
where; adjacent = W . Hypotenuse = d
back to equation 1
Cos ∅ = w / d
∴ ∅ = cos^-1 ( w/d )
WILL GIVE BRAINLIEST!!!!
Plot the image of quadrilateral ABCD under a reflection across line L.
Answer:
See image
Step-by-step explanation:
I clicked submit and it was right
Also dude I remember doing this and struggling before
Lucy is on her way home in her car. She has driven 22 miles so far, which is one-half of the way home. What is the total length of her drive?
Answer:
44
Step-by-step explanation:
if 22 miles = 1/2
then, 22 times 2 = 44 miles
ANSWER= 44 miles
Gail works for Ice Cream To-Go. She needs to fill the new chocolate dip cones completely with vanilla ice cream, so that it is level with the top of the cone. Gail knows that the radius of the inside of the cone top is 25 millimeters and the height of the inside of the cone is 129 millimeters.
Using 3.14 for , how much vanilla ice cream will one chocolate dip cone hold when filled to be level with the top of the cone?
Answer:
In other words, they want you to find the volume of the cone.
Volume of a cone=1/3 (pi * radius^2 *h)
Volume=1/3 [3.14* (22)^2 * 120]
Volume=1/3 (3.14*484*120)
Volume=1/3 (182371.2)
Volume= 182371.2/3
Volume=60790.4
The volume of the cone is 60790.4mm^3
But that is not the final answer. Since liquid is measured in litres, You need to convert it to millilitres. So the answer is that one chocolate dip cone can hold a maximum of 60.9704 milliliters
Step-by-step explanation:
Hope this helps
HI CAN SOME1 HELP ME WITH THIS! MATH :)
NO FAKE ANSWERS PLS! ^^ TY
Answer:
20
Step-by-step explanation:
multiply the sides
Hi ^^
------------------------------
Your answer is 24m³
-------------------------------
anyways bye! <3
The clerk at the grocery store makes $12 an hour. How much will be made in 40 hours?
Answer:480$
Step-by-step explanation:
Hope this helps
Answer:
480
Step-by-step explanation:
Succession is a gradual process within an ecosystem in which some species replace other species. When a volcano creates a brand new island of rock and then plants start to grow there is an example of ... Question 1 options: Ecological Succession Secondary Succession Micro succession Primary Succession
Answer:
Ecological Succession
When a volcano creates a brand new island of rock and then plants start to grow there is an example of ...
Primary Succession
Step-by-step explanation:
Ecological succession describes the ecological change in structure of a community of different species, or ecosystem. There are three main types of ecological succession. The first type is primary succession, followed by secondary succession, and then cyclic succession. Primary succession is the first formation of plants without soils with the presence of magma and water. Secondary succession takes place with the destruction of primary succession by fire, for example. Cyclic succession is the change of the ecosystem on a cyclic basis depending on time of the year.
Answer:
The answer would be secondary succession :)
Step-by-step explanation:
In ΔSTU, s = 98 inches, t = 92 inches and u=70 inches. Find the measure of ∠U to the nearest 10th of a degree.
Answer: is 43.1
Step-by-step explanation:
A light bulb consumes 3600 watts-hours per day. How many watts-hours does it consume in 3 days and 6 hours?
Answer:
3 DAYS IS 10800 WATTS.
Step-by-step explanation:
3600 WATTS × 3 DAYS =10800 WATTS.
Alice invests $5,000 at age 28 from the signing bonus of her new job. She hopes the investments will be worth $20,000 when she turns 40. If the interest compounds continuously, approximately what rate of growth will she need to achieve her goal?
Answer:4000 per year
Step-by-step explanation:
I have 3/4 of all my kittens and 3/4 of a kitten. How many kittens do I have?
Answer:
i think 6/8
Step-by-step explanation:
3/4 x 3/4
3/4 of all kittens and 3/4 of a kitten = 9/16 kittens
What is multiplication?Multiplication is the process of calculating the result when a number is taken times. The result of a multiplication is called the product of and, and each of the numbers and is called a factor of the product.
What are the rules of multiplication?Any number times zero is always zero.Any number times one is always the same number. Add a zero onto the original number when multiplying by 10.The order of factors does not affect the product.Products are always positive when multiplying numbers with the same signs.Learn more about multiplication here: https://brainly.com/question/10873737
#SPJ2