45-12=33
then divide 33 by 9: 33÷9=3.66666666 repeating forever. you can round up to 3.7.
The mass of 1 tablespoon of syrup is as heavy as 5 teaspoons of cooking oil. The mass of 2 teaspoons of cooking oil is 12 g lighter than 1 tablespoon of syrup.find the mass of 1 teaspoon of cooking oil
Answer:
1 tsp of oil = 4 g
Step-by-step explanation:
1 Tbsp of syrup = 5 tsp of oil
2 tsp of oil = 1 Tbsp of syrup - 12 g
2 tsp of oil = 5 tsp of oil - 12 g
-3 tsp of oil = -12 g
1 tsp of oil = 4 g
Solve the equation below for y
3 ( y + 3 ) = 14
Answer:
y = 3/5
Step-by-step explanation:
3(y+3) = 14
3*y+3*3 = 14
3y+9 = 14
3y = 14-9
3y = 5
y = 3/5
exg(x), where g(0) = 6 and g'(0) = 1, find f '(0).
Which point is located at (-1, 1 1/4)
A
B
C
D
Answer: Point A.
Step-by-step explanation: To find the location of points such as (-1, 1 1/4), you need to know what part of the point is the x-axis and the y-axis. The first part of the point is the x-axis, which is the horizontal line that goes left to right on the coordinate graph. The first part of the point (-1, 1 1/4), is -1. The second part of the point is the y-axis, which is the vertical line that goes up and down on the coordinate graph. The second part of the point (-1, 1 1/4), is 1 1/4. Therefore, we first find the x-axis to the point (-1, 1 1/4), which is -1, and so far, point A is the only option that matches. However, we need to make sure that the point (-1, 1 1/4)'s y-axis matches to point A as well. The y-axis to the point (-1, 1 1/4) is 1 1/4 so we need to go up 1 1/4 times, and the point that matches these actions is point A. Therefore, that's your answer.
Let me know if this is right! :)
Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)
A). (tan(x) − 4)(9 sin^2(x) − 1) = 0
B). 3 sin(2x) − 4 sin(x) = 0
Answer:
Step-by-step explanation:
A)[tex](tanx-4)(9sin^2x-1)=0\\\\\\[/tex]
[tex]9sin^2x-1=0\\\\sin^2x=\frac{1}{9} sinx=\frac{1}{3}[/tex] or [tex]sinx=\frac{-1}{3}[/tex]
OR [tex]tanx=4\\[/tex]
B)
[tex]3sin2x=3.2.sinx.cosx\\\\6.sinx.cosx-4.sinx= 2sinx.(3cosx-2)=0\\\\3.cosx=2 cosx=\frac{2}{3}[/tex]
Ali is in charge of the dinner menu for his senior prom, and he wants to use a one-sample z interval to estimate
what proportion of seniors would order a vegetarian option. He randomly selects 30 of the 150 total seniors
and finds that 7 of those sampled would order the vegetarian option.
Which conditions for constructing this confidence interval did Ali's sample meet?
Choose all answers that apply:
A. the data is a random sample from the population of interest
B. np^>_10 and n(1-p^)>_10
C. individual observations can be considered independent
Answer: A: The data is a random sample from the population of interest
Step-by-step explanation: kahn
What is the missing length?
10 yd
=
Area of shaded region
50 yd?
Answer:
v = 10 yd
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
here b = 10 , h = v and A = 50 , then
[tex]\frac{1}{2}[/tex] × 10v = 50
5v = 50 ( divide both sides by 5 )
v = 10
The best way to convince employers of your skills and abilities is to _____. a. provide a written list, such as in your resume b. offer proof by example in answering interview questions c. have the employer contact your references d. none of the above
Answer:
A.
Step-by-step explanation:
B and C seem to stray away from what the question originally asked.
Answer:
the answer is B ( offer proof by example in answering interview questions)
Step-by-step explanation:
hope this helps:)
ed 2023
What is the volume of a right circular cylinder with a base diameter of 18 yd and a height of 3 yd?
Enter your answer in the box. Express your answer using π.
I've seen people answer with 763.4yd^3 or 254pi yd^3 . Please answer if you know 100%. Also please show your work.
Answer:
[tex]V=763.407[/tex] yd^3
Step-by-step explanation:
Formula for volume of right circular cylinder.
[tex]V=\pi r^{2}*6[/tex]
[tex]r=\frac{d}{2}[/tex]
We are given the diameter (d) and the height (h).
First solve for r.
[tex]r=\frac{18}{2}[/tex]
[tex]r=9[/tex]
Now we have everything we need to find the volume. Plug in r into the volume formula.
[tex]V=\pi *9^{2} *3[/tex]
[tex]V=763.407[/tex] yd^3
an effort to make room for new inventory, a college bookstore runs a sale on least popular mathematics books. The sales rate (books sold per day) on day of the sale is predicted to be 60 / t (for t >= 1), where t = 1 corresponds to the beginning of the sale, at which time none of the inventory of 595 books had been sold.
A) Find a formula for the number of books sold up to day t. S(t)=
B) Will the store have sold its inventory of 595 books by day t = 30? “Yes” or “No”
Answer:
The sun, eight plants and some other celestial
Answer:1
Step-by-step explanation:
The sun, eight plants and some other celestial
Please assist me with these question. I am having a hard time
Step-by-step explanation:
[tex] \frac{1}{3x} + \frac{7}{ {x}^{2} } + \frac{x + 2}{x} [/tex]
[tex] \frac{x}{ {3x}^{2} } + \frac{21}{3 {x}^{2} } + \frac{3 {x}^{2} + 6x}{3 {x}^{2} } [/tex]
[tex] \frac{ {3x}^{2} + 7x + 21 }{ {3x}^{2} } [/tex]
Choice D
Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified, exact value in terms of PI (no approximations). The figures are based on semicircles or quarter circles, and problems (b), (c), and (d) involve portions of a square. Calculate area and perimeter
Check the picture below.
[tex]\stackrel{\textit{\Large Areas}}{\stackrel{triangle}{\cfrac{1}{2}(6)(6)}~~ + ~~\stackrel{semi-circle}{\cfrac{1}{2}\pi (3)^2}}\implies \boxed{18+4.5\pi} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{pythagorean~theorem}{CA^2 = AB^2 + BC^2\implies} CA=\sqrt{AB^2 + BC^2} \\\\\\ CA=\sqrt{6^2+6^2}\implies CA=\sqrt{6^2(1+1)}\implies CA=6\sqrt{2} \\\\\\ \stackrel{\textit{\Large Perimeters}}{\stackrel{triangle}{(6+6\sqrt{2})}~~ + ~~\stackrel{semi-circle}{\cfrac{1}{2}2\pi (3)}}\implies \boxed{6+6\sqrt{2}+3\pi}[/tex]
notice that for the perimeter we didn't include the segment BC, because the perimeter of a figure is simply the outer borders.
The average value of the function y = x² – 1 on [0, 12] is
Answer:
47.
Step-by-step explanation:
1) the rule:
[tex]f_{avr}=\frac{1}{b-a} \int\limits^b_a {f(x)} \, dx ,[/tex]
where a;b are 0 and 12, f(x)=x²-1.
2) according to the rule above:
[tex]f_{avr}=\frac{1}{12-0} \int\limits^{12}_0 {(x^2-1)} \, dx=\frac{1}{12}(\frac{x^3}{3}-x)|^{12}_0=48-1=47.[/tex]
BRAINLIEST FOR HELP!! *i might possibly have answer i want to see if i did it right*a 20 ft flagpole is casting a 8.9 foot shadow, what is the suns angle?
Step-by-step explanation:
the angle of elevation of the sun is θ is related to the given sides of the right triangle (assuming the ground is horizontal and the flag pole is vertical) by tangent.
the shadow is adjacent to the angle while the flagpole is opposite to it.
so to find the angle of elevation:
arctan(20/8.9)
= 66.01 degrees
comment if you have any doubt or need further help.
Angle be alpha
[tex]\\ \rm\Rrightarrow tan\alpha=\dfrac{P}{B}[/tex]
[tex]\\ \rm\Rrightarrow tan\alpha=\dfrac{20}{8.9}[/tex]
[tex]\\ \rm\Rrightarrow tan\alpha=2.25[/tex]
[tex]\\ \rm\Rrightarrow \alpha=tan^{-1}(2.25}[/tex]
[tex]\\ \rm\Rrightarrow \alpha=66.04°[/tex]
Suppose a normal distribution has 50% of its area falling to the left of x=30, and 25% of its area falling to the right of x=38. The mode of the distribution is located at x= _____
What best completes the sentence?
Enter your answer as a decimal rounded to the nearest tenth, like this: 42.5
Answer:
mode: x = 30
Step-by-step explanation:
The mode of a normal distribution is the same as its mean and median. All are located such that half the area is below that value, and half is above.
__
If 50% of the area is left of x=30, the mean, median, and mode are all at x=30.
For his phone service, Manuel pays a monthly fee of $11, and he pays an additional $0.07 per minute of use. The least he has been charged in a month is
$104.45
What are the possible numbers of minutes he has used his phone in a month?
Use m for the number of minutes, and solve your inequality for m.
Step-by-step explanation:
M=?
=$104.45-$11
=93.45
$93.45÷0.07
=1335
He used 1335 minutes in month
Draw a box- and- whisker plot that corresponds to the given data set 31, 12, 8, 25, 23, 17, 20, 13
The box-and-whisker plot that displays the five-number summary of the given data is: option B.
How to Draw a Box-and-whisker Plot?A box-and-whisker plot displays the five-number summary of a data, which includes, the min and max values, medain, upper and lwoer quartiles.
To draw a box-and-whisker plot, find the five-number summary of the data, 31, 12, 8, 25, 23, 17, 20, 13:
Minimum: 8First Quartile: 12.5Median: 18.5Third Quartile: 24Maximum: 31Therefore, the box-and-whisker plot that displays the five-number summary of the given data is: option B.
Learn more about box-and-whisker plot on:
https://brainly.com/question/12343132
Pls help with this question
Answer:
They(play) football for two hours (present perfect continuous
Write an equation in standard form of the hyperbola described.
Focus (4, 0); vertex (2, 0); center (0, 0)
Check the picture below, so the hyperbola looks more or less like so, so let's find the length of the conjugate axis, or namely let's find the "b" component.
[tex]\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{cases} h=0\\ k=0\\ a=2\\ c=4 \end{cases}\implies \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 4^2=2^2+b^2\implies 16=4+b^2\implies \underline{12=b^2} \\\\\\ \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{12}\implies \boxed{\cfrac{x^2}{4}-\cfrac{y^2}{12}}[/tex]
please I need to know this answer identify and calculate the perimeter for the quadrilateral
Step-by-step explanation:
but that is really, really simple.
is the problem that you don't know what a perimeter is ?
a perimeter is the whole distance you have to "walk", if you would "go" around the whole object.
that means you would have to go along every side until you reach the starting point again.
therefore, the perimeter is simply the sum of all side lengths.
P = 8.6 + 3.1 + 6.67 + 5.37 = 23.74 yds
the height does not play any role in this (but it would be important to calculate the area).
I don't understand these huge numbers you have there in the " P =" line.
where are they coming from ? in any case they have nothing to do with this quadrilateral.
Sam, Luke and Laura are shopping for sporting equipment
Sam buys 4 tennis balls and 12 golf balls for a total of £19
Luke buys 6 tennis ball and 10 golf balls for a total of £22.50
Laura buys 2 tennis balls and 4 gold balls
By forming two equations and solving them, find how much Laura pays for the 2 tennis balls and 4 golf balls.
Base on the equation, the amount Laura pay for 2 tennis balls and 4 golf balls $8
How to form and solve equations?
Sam buys 4 tennis balls and 12 golf balls for a total of £19.
let
x = price of each tennis ball
y = price of each golf ball
Hence,
4x + 12y = 19
Luke buys 6 tennis ball and 10 golf balls for a total of £22.50. Hence,
6x + 10y = 22.50
Combine the equation
4x + 12y = 19
6x + 10y = 22.50
6x + 18y = 28.5
6x + 10y = 22.50
8y = 6
y = 6 / 8
y = $0.75
6x + 10(0.75) = 22.50
6x + 7.5 = 22.50
6x = 22.50 - 7.5
6x = 15
x = 15 / 6
x = $2.5
The cost when Laura pays for 2 tennis balls and 4 golf balls is as follows:
2(2.5) + 4(0.75) = 5 + 3 = $8
learn more on equation here: https://brainly.com/question/17290525
After performing 1 simulation as the first step in her significance test, Emma does 99 more. For each simulation, she randomly reorganizes the subjects into two groups, A and B, of size 25. In the simulations, group A always plays the role of the treatment group and group B the role of the control group.
After each simulation, she subtracts the average for group B from the average for group A. The distribution of the differences for all 100 simulations is shown in the histogram.
In the original experiment, the average for the treatment
group was 1.6 higher than the average for the control group.
In what percentage of simulations is the average for group A at least 1.6 higher than the average for group B?
Answer Choices:
A: 1
B: 5
C: 1.6
D: 2
Using the histogram, it is found that the percentage of simulations is the average for group A at least 1.6 higher than the average for group B is given by:
A: 1.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed.
In this problem, the histogram shows that out of the 100 simulations, only 1 had a difference of at least 1.6, as the bin corresponding to [1.6, 2] has value of 1 and the bins to the right of this have values of 0.
Hence, the percentage is given by:
P = 1/100 x 100% = 1%.
Which means that option A is correct.
More can be learned about histograms at https://brainly.com/question/25836450
A bag of oranges weighs 3/5 pounds. How much do
1 3/5 bags weigh?
A student recorded the distance and height of a basketball when shooting a free throw.
Distance feet X 0 2 6 9 12 13 15
Height (feet) Y 4 8.4 12.1 14.2 13.2 10.5 9.8
(a) Write the quadratic regression equation mal models the data Letx=distance in feet and let y= height in feet Round all numbers to the nearest hundredth
(b) Use the equation to estimate the height of basketball when shot from 20 feet. Show your work.
Answer:
a) [tex]y = 0.118x^{2} +2.112x+4.215\\[/tex]
b)height = 896.2 feet
Step-by-step explanation:
for b, substitute 20 in place of x in the first equation.
Rearrange the equation and solve for x.
2 = x2 + 6x + 11
Answer:
-3
Step-by-step explanation:
It's a lot of work, I'm not typing that into here
HELP PLEASE ! What is the solution to the equation x + 9.5 = 27.5? (1 point)
a
x = 2.9
b
x = 18
c
x = 20
d
x = 37
Answer:
B
Step-by-step explanation:
Group like them
such that the coefficient stands alone
by subtracting both sides by 9.5
I need help with 4 and 5 I really don’t get it
3,5,6 please help me with these
Answer:
you cant do these they are 3rd and 4th questions
Step-by-step explanation:
Answer:
You can find the answers by dividing the numbers
Step-by-step explanation:
Hmu if u still need help :)
Which of the following is a person who supports or believes in the philosophy of communism?
A. Communist
B. Nihilist
C. Fascist
Answer:
ITS DEFINITELY AStep-by-step explanation:
The circumcenter of a triangle can lie on one of the edges if the triangle is:
Select the best choice from the answers provided.
A.
Right
B.
Acute
C.
Obtuse
D.
none of the above choices are correct.
Answer:
B. Acute
Step-by-step explanation:
the hypotenuse for right triangles and lies outside the triangle for obtuse triangles. The circumcenter coincides with the midpoint of the hypotenuse if it is an isosceles right triangle.