Answer:
Step-by-step explanation:
This shows step by step
Hope this helps <3
Each of 6 students reported the number of movies they saw in the past year. This is what they reported. 15,9,13,18,9,6, find the mean and median numbers of the movies that students saw.
Answer:
mean = 11.66666
median = 11
Step-by-step explanation:
To find the mean, add up all the numbers, then divide by how many numbers
mean = (15+9+13+18+9+6) / 6 = 70/6 = 11 .6666666
To find the median, put the numbers from smallest to largest. then take the middle number. Since there is an even number, take the two middle numbers and average them
6,9,9,13,15,18
The two middle numbers are 9 and 13
(9+13)/2 = 22/2 = 11
Need whole answer please
Answer: Audrey is less than 17 years old (possible answers 16,15,14,13...)
Answer in inequality: x<17
Step-by-step explanation:
3x + 9 < 60
3x + 9 - 9 < 60 - 9
3x < 51
x<17
Answer: x<17
EXPLAIN
ekfnkw
What is the circumference of a circle with a diameter of 21 m? (use for pi)
Answer:
21π m, or ≈ 65.94 m
Step-by-step explanation:
Remember that π is the ratio between a circle's circumference and its diameter, or, in equation form:
[tex]\pi=\frac{c}{d}[/tex]
where c is the circumference and d is the diameter. If we want to find the circumference, we can just multiply that equation by d on both sides to get
[tex]c=\pi d[/tex]
Here, our d = 21 m, so our circumference would be
[tex]c=21\pi[/tex] m, or approximately 21(3.14) = 65.94 m
how to factor 6x^2+7x-10
Answer:
(6x-5)(x+2)
Step-by-step explanation:
6x²+7x-10
= (6x-5)(x+2)
Freya is training for a track race. She starts by sprinting 200 yards. She gradually increases her distance, adding 5 yards a day for 21 days which explicit formula models this situation
Answer:
The explicit formula is:
[tex]a_n = 200 +5(n-1)[/tex]
Step-by-step explanation:
Freya increases 5 yards daily to the number of yards she runs.
Note that the increase factor is constant, so this problem can be modeled using an arithmetic sequence.
The explicit formula for an arithmetic sequence is:
[tex]a_n = n_1 + d(n-1)[/tex]
Where:
[tex]a_n[/tex] is the number of yards that Freya runs on the day
[tex]a_1[/tex] is the number of yards that he runs on day 1
d is the increase factor. [tex]d = 5[/tex] yards
n is the number of days
Then as [tex]a_1 = 200[/tex] and [tex]d = 5[/tex], the explicit formula is:
[tex]a_n = 200 +5(n-1)[/tex]
Answer:
a_n = 200 (n-1)5
Step-by-step explanation:
just to simplify from those over achievers who confuse the living h e l l out of everyone
Which polynomial represents the difference below? A. –x2 + 6x + 3 B. –x2 + 12x + 3 C. 5x2 + 3x + 3 D. 5x2 + 6x + 3
Answer: -x^2+12x+3
Step-by-step explanation:
paige and her family went to the movies. They bought 4 tickets and paid $12 for popcorn. They spent $40. How much did each ticket cost?
____________________________________________________
Answer:
7 dollars
____________________________________________________
Step-by-step explanation:
To make solving this equation easier, lets turn the the information we got in the question into an actual equation.
Key information:
4 tickets
$12 popcorn
Spent a TOTAL of $40.
With the information above, we can use it to make an equation.
We would use the equation: y = mx + b
Since our "y" value would represent our total value, our total value is 40, so we would plug 40 into y.
Your equation should look like this:
40 = mx + b
Our "b" value represents our start value, and our start value would be 12 because we started with one $12 popcorn.
Your equation should look like this:
40 = mx + 12
Our "m" value would represent how many tickets we bought, so we would plug in 4 in m.
Our equation would be:
40 = 4x + 12
Now we can solve the equation:
We would move the 12 over to the left side of the equal sign by subtracting, then we would divide by 4.
[tex]40=4x+12\\\\28=4x\\\\7=x[/tex]
We should get ther answer of 7, that means that each ticket cost $7 dollars.
7 dollars should be your FINAL answer.
____________________________________________________
Answer:
One ticket = $7
Step-by-step explanation:
Forming the equation,
→ 4x + 12 = 40
Now the value of x will be,
→ 4x + 12 = 40
→ 4x = 40 - 12
→ x = 28/4
→ [ x = 7 ]
Hence, the value of x is 7.
Please help will give brainliest
Answer:
[tex]c = 4[/tex]
Step-by-step explanation:
For this triangle we have to
[tex]A=63\\C=49\°\\c=3\°[/tex]
Now we use the sine theorem to find the length of a:
[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}[/tex]
Then:
[tex]\frac{sin(A)}{a}=\frac{sin(C)}{c}\\\\a=\frac{sin(A)}{\frac{sin(C)}{c}}\\\\a=c*\frac{sin(A)}{sin(C)}\\\\a=(3)\frac{sin(63)}{sin(49)}\\\\c=4[/tex]
The average of two numbers is 1/4. One of the numbers is 1/8. Find the other number
Answer:
3/8
Step-by-step explanation:
the formula to find average of a set of values is, you add all the numbers, then you divide by the total amount of numbers.
you can work backwards with your problem by multiplying 1/4*2
[tex] \frac{1}{4} \times 2 = \frac{1}{2} [/tex]
then you subtract 1/8 from that
[tex] \frac{1}{2} - \frac{1}{8} = \frac{3}{8} [/tex]
3/8 is the other number to get an average of 1/4
14 points someone please help me quick!
The E3 is the same as writing 10^3.
The answer would be 7.9 x 10^3
Combine like terms to find the equivalent expression to6(58u+1)−6(−74u−5).
Answer:
-36 • (22u + 1)
Step-by-step explanation:
Pulling out like terms :
2.1 Pull out like factors :
-74u - 5 = -1 • (74u + 5)
Equation at the end of step 2 :
(6 • (58u + 1)) - -6 • (74u + 5)
Step 3 :
Equation at the end of step 3 :
6 • (58u + 1) - -6 • (74u + 5)
Step 4 :
Pulling out like terms :
4.1 Pull out 6
Note that -6 =(-1)• 6
After pulling out, we are left with :
6 • ( (-1) * (58u+1) +( (-1) * (74u+5) ))
Step 5 :
Pulling out like terms :
5.1 Pull out like factors :
-132u - 6 = -6 • (22u + 1)
Final result :
-36 • (22u + 1)
Please help me thank you
Answer:
[tex]\large\boxed{\sin2\theta=\dfrac{\sqrt3}{2},\ \cos2\theta=\dfrac{1}{2}}[/tex]
Step-by-step explanation:
We know:
[tex]\sin2\theta=2\sin\theta\cos\theta\\\\\cos2\theta=\cos^2\theta-\sin^2\thet[/tex]
We have
[tex]\sin\theta=\dfrac{1}{2}[/tex]
Use [tex]\sin^2\theta+\cos^2\theta=1[/tex]
[tex]\left(\dfrac{1}{2}\right)^2+\cos^2\theta=1\\\\\dfrac{1}{4}+\cos^2\theta=1\qquad\text{subtract}\ \dfrac{1}{4}\ \text{from both sides}\\\\\cos^2\theta=\dfrac{4}{4}-\dfrac{1}{4}\\\\\cos^2\theta=\dfrac{3}{4}\to\cos\theta=\pm\sqrt{\dfrac{3}{4}}\to\cos\theta=\pm\dfrac{\sqrt3}{\sqrt4}\to\cos\theta=\pm\dfrac{\sqrt3}{2}\\\\\theta\in[0^o,\ 90^o],\ \text{therefore all functions have positive values or equal 0.}\\\\\cos\theta=\dfrac{\sqrt3}{2}[/tex]
[tex]\sin2\theta=2\left(\dfrac{1}{2}\right)\left(\dfrac{\sqrt3}{2}\right)=\dfrac{\sqrt3}{2}\\\\\cos2\theta=\left(\dfrac{\sqrt3}{2}\right)^2-\left(\dfrac{1}{2}\right)^2=\dfrac{3}{4}-\dfrac{1}{4}=\dfrac{3-1}{4}=\dfrac{2}{4}=\dfrac{1}{2}[/tex]
Select the correct answer. What is the area of the triangle in the diagram? A. B. C. D.
Answer:a
aStep-by-step explanation: ive done it
The area of a triangle with a base of 6 cm and height of 8 cm, is 24 cm²
What is an area?
Area is the amount of space occupied by a two dimensional shape or object.
The area of a triangle is given by:
Area of triangle = (1/2) * base * height
Assume the triangle has a base of 6 cm and height of 8 cm, hence:
Area of triangle = (1/2) * 6 * 8 = 24 cm²
The area of a triangle with a base of 6 cm and height of 8 cm, is 24 cm²
Find out more on area at: https://brainly.com/question/25292087
Find the value of each variable. For the circle, the dot represents the center.
Answer:
Part 1) The measure of angle d is 65°
Part 2) The measure of angle c is 89°
Part 3) The measure of arc a is 131°
Part 4) The measure of arc b is 47°
Step-by-step explanation:
we know that
In an inscribed quadrilateral, opposite angles are supplementary
step 1
Find the measure of angle d
∠d+115°=180°
∠d=180°-115°=65°
step 2
Find the measure of angle c
∠c+91°=180°
∠c=180°-91°=89°
step 3
Find the measure of arc a
we know that
The inscribed angle measures half that of the arc comprising
115°=(1/2)[99°+arc a]
230°=[99°+arc a]
arc a=230°-99°=131°
step 4
Find the measure of arc b
we know that
The inscribed angle measures half that of the arc comprising
∠c=(1/2)[arc a+arc b]
substitute the values
89°=(1/2)[131°+arc b]
178°=[131°+arc b]
arc b=178°-131°=47°
A figure which is formed by two rays or lines that shares a common endpoint is called an angle.
An arc is one of the portions of a circle. It is basically a part of the circumference of a circle.
The measure of the ∠d is 65 degrees.
The measure of the ∠c is 89 degrees.
The measure of the arc a is 131 degrees.
The measure of arc b is 47 degrees.
We have to determineThe value of each variable. For the circle, the dot represents the center.
What is the angle?A figure which is formed by two rays or lines that shares a common endpoint is called an angle.
What is an arc?
An arc is one of the portions of a circle. It is basically a part of the circumference of a circle.
1. The measure of ∠d is;
∠d+ 115°= 180°
∠d= 180°-115°= 65°
The measure of the ∠d is 65 degrees.
2. The measure of ∠c is,
∠c+ 91°= 180°
∠c =180°-91° =89°
The measure of the ∠c is 89 degrees.
3. The measure of arc a is,
The inscribed angle measures half that of the arc comprising;
[tex]\rm 115=\dfrac{1}{2}[99+arc \ a]\\\\230=[99+arc a]\\\\arc \ a = 230-99\\\\arc \ a= 131[/tex]
The measure of the arc a is 131 degrees.
4. The measure of arc b is,
The inscribed angle measures half that of the arc comprising;
[tex]\rm 89=\dfrac{1}{2}[131+arc \ b]\\\\178=[131+arc \ b]\\\\arc \ b = 178-131\\\\arc \ b = 47[/tex]
The measure of arc b is 47 degrees.
To know more about Angle and Arc click the link given below.
https://brainly.com/question/9177423
not sure how to solve these :(
Answer:
The decimal form of 5/8 is 0.625
All you have to to is divide numerator by denominator
Ur percent would be 63% if rounded
If not then its 62%
*10 POINTS* Which variable expression represents the following word phrase?
"8 less than the quotient of 6 and a number"
Question 1 options:
8−6n
8−n6
6n−8
n6−8
Answer:
[tex](\frac{6}{n})-8[/tex] .
Step-by-step explanation:
Given : "8 less than the quotient of 6 and a number".
To find : expression represents the following word phrase.
Solution : We have given 8 less than the quotient of 6 and a number.
According to question :
Quotient of 6 and n = [tex](\frac{6}{n})[/tex] .
For less than we will use negative sign.
8 less than the quotient of 6 and a number.
[tex](\frac{6}{n})-8[/tex] .
Therefore, [tex](\frac{6}{n})-8[/tex] .
for the equation y= 6x2 - 9x + 22, choose the correct application of the quadratic formula.
it’s the last option
The correct application of the quadratic formula is:
[tex]x=\dfrac{9\pm \sqrt{(-9)^2-4(6)(22)}}{2(6)}[/tex]
Step-by-step explanation:The quadratic equation is given by:
[tex]y=6x^2-9x+22[/tex]
We know that the solution of the quadratic equation:
[tex]y=ax^2+bx+c[/tex]
is given by:
[tex]y=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Here we have:
[tex]a=6[/tex]
[tex]b=-9[/tex]
and
[tex]c=22[/tex]
Hence, the quadratic formula is given by:
[tex]x=\dfrac{-(-9)\pm \sqrt{(-9)^2-4\cdot (6)\cdot (22)}}{2\cdot (6)}[/tex]
i.e.
[tex]x=\dfrac{9\pm \sqrt{(-9)^2-4(6)(22)}}{2(6)}[/tex]
Afton made a chicken dish for dinner.She added a 10- ounce package of vegetables and a 14-ounce package of rice to 40 ounces of chicken. What was the total weight of the chicken dish in pounds ?
Answer:
The answer is 4 pounds
Step-by-step explanation:
10+14+40=64 oz 64/16 =4
Answer:
4 pounds
Step-by-step explanation:
40 ounces of chicken+ 10 ounces of vegetables+ 14 ounces of rice= 64 ounces of the whole chicken dish.
Now, convert the number of ounces into pounds.
There are 16 ounces in a pound
Or
16 ounces=1 pound
So, divide 16 into 64 to get the number of pounds, which is 4.
Hope this helps!
If f(x)=2x and g(x)= 1/x, what is the domain of (f*g) (x)
Answer:
The domain of (f*g) (x) is the set of all real numbers; ( -∞, ∞)
Step-by-step explanation:
(f*g) (x) simply means we obtain the product of f(x) and g(x). We are given that;
f(x)=2x
g(x)= 1/x
(f*g) (x) = f(x) * g(x)
(f*g) (x) = 2x * 1/x = 2
This is a horizontal line defined everywhere on the real line. The domain of (f*g) (x) is thus ( -∞, ∞)
Answer:
All real numbers
Step-by-step explanation:
Given : [tex]f(x)=2x[/tex]
[tex]g(x)= \frac{1}{x}[/tex]
To Find : the domain of (f*g) (x)
[tex]f(x)=2x[/tex]
[tex]g(x)= \frac{1}{x}[/tex]
[tex](f\cdot g)(x)=2x \times \frac{1}{x}[/tex]
[tex](f\cdot g)(x)=2[/tex]
Since the value of [tex](f\cdot g)(x)=2[/tex]
So, the domain of the function is [tex](f\cdot g)(x)[/tex] is all real numbers .
Order the following integers from least to greatest:
−41,−51,−38, 50, 41 and 13
Answer:
-51, -41, -38, 13, 41, 50
Step-by-step explanation:
The integers ordered from least to greatest are: -51, -41, -38, 13, 41, 50.
To order the integers from least to greatest, one must start by identifying the negative integers and then the positive integers. Among negative integers, the larger the absolute value, the smaller the number. Conversely, for positive integers, the larger the number, the greater it is.
Starting with the negative integers:
-51 is the smallest because it has the largest absolute value among the negative numbers.
-41 is the next smallest negative number.
-38 is the smallest negative number because it has the smallest absolute value among the negatives.
Now, moving on to the positive integers:
13 is the smallest positive number.
41 is the next smallest positive number.
50 is the largest positive number.
Putting it all together:
-51, -41, -38, 13, 41, 50.
Write the function in function notation with the name "g":
y = 4b+ 5
Answer:
g(b)=4b+5
Step-by-step explanation:
because this is how you write it as a function
Emily, Carl and Antony altogether has 121 stamps. How many stamps doeas each of them have, if it is known, that Emily has 40% more than Carl, and Carl has 60% more than Antony?
Answer:
Step-by-step explanation:
1. First, put together the information we have. Total = 121. Emily has 40% more than Carl, and Carl has 60% more than Antony.
2. Next, set each person as a variable. Antony = x. Carl = 1.6x. Emily = 1.4 times 1.6x.
3. Next, form an equation using these variables.
x + 1.6x + (1.4 x 1.6x) = 121
x + 1.6x + 2.24x = 121
4.84x = 121
x = 25
4. Finally, plug in x to our previous variables in step #2 to find the number of stamps Emily and Carl have.
Antony: x = 25 stamps
Carl: 1.6x = 40 stamps
Emily: 1.4 times 1.6x = 56 stamps
By the way, is this for RSM? If so, I am working on that problem right now and I searched up the solution but couldn't find it, so I stumbled upon this. I hope this helped!
Convert 192 cups to gallons. Enter your answers in the boxes. There are cups in 1 gallon. Therefore, 192 cups is equal to gallons.
Answer:
192 cups is equal to 12 gallons
Step-by-step explanation:
we know that
1 cup=0.0625 gal
or
1 gal=16 cups
Method 1
192 cups=192*0.0625=12 gal
Method 2
192 cups=192/16=12 gal
Answer:
Step-by-step explanation:
Convert 192 cups to gallons. Enter your answers in the boxes.
For the blanks answer it like this
There are 16 cups in 1 gallon. Therefore, 192 cups is equal to
12 gallons.
If the area A of a triangle is 45 m2 (square meters) and the altitude h is 15 m, what's the base b?
Answer:
The base b is 6m
Step-by-step explanation:
The area A of a triangle with base b and height h is given by the formula;
[tex]A=\frac{1}{2}*b*h[/tex]
The area of the triangle is given as 45 while the height h is 15. We substitute these known values into the formula above and solve for the unknown base;
[tex]45=\frac{1}{2}*b*15\\\\90=15*b[/tex]
We finally divide both sides by 15 to solve for b;
b = 90/15 = 6
Therefore, the base of the triangle is 6 m
Answer:
[tex]b = 6\ m[/tex]
Step-by-step explanation:
The area of a triangle is
[tex]A = 0.5b * h[/tex]
Where b is the base of the triangle and ha is the height.
In this case we have a triangle with area
[tex]A = 45\ m ^ 2[/tex]
and with height:
[tex]h = 15\ m[/tex]
So the base of the triangle is:
[tex]45 = 0.5b (15)\\\\b=\frac{45}{15*0.5}\\\\b=6\ m[/tex]
Finally the base of the triangle is b = 6 meters
7848 / 4 what
Is the quotient
[tex]\text{Hey there!}[/tex]
[tex]\text{Both numbers are divisible to 4, so divide the numerator and denominator from 4}[/tex]
[tex]\frac{7,848\div4}{4\div4}[/tex]
[tex]\text{7,848}\div4=1,962[/tex]
[tex]\text{4}\div4=1[/tex]
[tex]\text{1,962}\div1=1,962[/tex]
[tex]\boxed{\boxed{\text{Answer: 1,962}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
the perimeter of a rectangle is 68 cm. the length is 4 cm less than three times ots width. write a system of equation to find the dimensions of the rectangle.
2L + 2w = 68 & L = 3w-4
2(3w-4) = 68
6w-8= 68
6w = 60
W= 10
L = 3*10-4
L= 30-4= 26
what is the solution of the equation x to the power of 2=
64
Answer: x= 8
Step-by-step explanation:
x^2 = 64
sqrt{x^2} = sqrt64}
x = 8
what is this simplified?
Answer:
2 square root 15, or the second one down
ANSWER
[tex]2 \sqrt{15} [/tex]
EXPLANATION
We want to simplify
[tex] \sqrt{60} [/tex]
There is a perfect square under the radical sign:
[tex] \sqrt{4 \times 15} [/tex] Split the radical sign for both factors:
[tex] \sqrt{4} \times \sqrt{15} [/tex]
Simplify the first factor
[tex]2 \sqrt{15} [/tex]
The second option is correct.
Which is an asymptote of the graph of the function y=tan(3/4x)?
1)x=-4pi/3
2)x=-2pi/3
3)x=3pi/4
4)x=3pi/2
Answer is 2
ANSWER
[tex]x = - \frac{2\pi}{3} [/tex]
EXPLANATION
The given function has equation
[tex]y = \tan( \frac{3}{4}x) [/tex]
This can be rewritten as
[tex]y = \frac{ \sin( \frac{3}{4}x ) } { \cos(\frac{3}{4}x )}[/tex]
The asymptote occurs at:
[tex]\cos(\frac{3}{4}x ) = 0[/tex]
This implies that,
[tex] \frac{3}{4} x = \frac{ \pi}{2} [/tex]
[tex]x = \frac{ \pi}{2} \times \frac{4}{3} [/tex]
[tex]x = \frac{2\pi}{3} [/tex]
Or
[tex]\frac{3}{4} x = - \frac{ \pi}{2} [/tex]
[tex]x = \frac{ - \pi}{2} \times \frac{4}{3} [/tex]
[tex]x = - \frac{2\pi}{3} [/tex]
The second choice is correct.
Answer:
B) [tex]x = \frac{2\pi }{3}[/tex]
Step-by-step explanation:
this is the correct answer on ed-genuity, hope this helps! :)
Which two elements make up 3/4 of the Earth's crust
Answer:
Oxygen and Silicon
Step-by-step explanation:
Oxygen and Silicon make up 75% of the weight of the Earth's crust.
Answer = oxygen and silicone.