Answer:
Step-by-step explanation:
8j^3-10j^2-7-6j^3+10j^2+j-12
2j^3+j-12
Given trapezoid PQRS, find the length of midsegment TU.
Answer:
Option (4)
Step-by-step explanation:
In the given picture,
Trapezoid PQRS has two points T and U as the midpoints of sides PS and RQ.
Segment TU joins the midpoints of the sides PS and RQ.
Mid-segment theorem states that "If a line joining midpoints of a trapezoid is parallel to the bases, length of this segment is half the sum of lengths of the bases."
Therefore, m(TU) = [tex]\frac{1}{2}(m\text{PQ}+m\text{SR})[/tex]
7x - 26 = [tex]\frac{1}{2}[(3x+23)+(9x-3)][/tex]
7x - 26 = 6x + 10
7x - 6x = 26 + 10
x = 36
m(TU) = 7x - 26
= 7(36) - 26
= 252 - 26
= 226
Therefore, Option (4) will be the answer.
Round Ed to the nearthest tenth and answer now question
Answer:
[tex] y = 9.1 [/tex]
Step-by-step explanation:
y can be found using the Law of sines as explained below:
m < Y = 106°
m < X = 58°
WY = x = 8
WX = y = ?
Thus,
[tex] \frac{x}{sin(X)} = \frac{y}{sin(Y)} [/tex]
[tex] \frac{8}{sin(58)} = \frac{y}{sin(106)} [/tex]
[tex] \frac{8}{0.848} = \frac{y}{0.961} [/tex]
Multiply both sides by 0.961 to solve for y
[tex] \frac{8}{0.848}*0.961 = \frac{y}{0.961}*0.961 [/tex]
[tex] \frac{8*0.961}{0.848} = y [/tex]
[tex] \frac{8*0.961}{0.848}*0.961 = y [/tex]
[tex] 9.07 = y [/tex]
[tex] y = 9.1 [/tex] (to the nearest tenth)
rational equations representing work and rate
Answer:
3.6hours
Step-by-step explanation:
kevin-6hrs
so he gets 1/6 called in 1 minute
Anne-9 hrs
so she gets 1/9 called in 1 minute
together
1/6+1/9=5/18 called in one minute
so what about all which are 18/18
you get 3.6 hrs I guess
Juanita is cutting a piece of construction paper in the shape of a parallelogram. Two opposite sides of the parallelogram have lengths (5n − 6) cm and (3n − 2) cm. A third side measures (2n + 3) cm. What are the lengths of two adjacent sides of the parallelogram? 2 cm and 2 cm 4 cm and 7 cm 7 cm and 9 cm 13 cm and 19 cm
=======================================================
Explanation:
For any parallelogram, the opposite sides are the same length. Think of a rectangle, though we could have angles that aren't 90 degrees.
(5n-6) and (3n-2) are the lengths of the opposite sides. Set them equal to one another and solve for n.
5n-6 = 3n-2
5n-3n = -2+6
2n = 4
n = 4/2
n = 2
We can use this to find the length of the opposite sides
5n-6 = 5*2-6 = 10-6 = 4
3n-2 = 3*2-2 = 6-2 = 4
We get 4 each time which helps confirm we have the correct value for n.
The opposite sides are 4 cm each. The other side is
2n+3 = 2*2+3 = 4+3 = 7
Looking at adjacent sides (sides that are next door neighbors), we see 4 cm and 7 cm.
We could easily say "7 cm and 4 cm" as order doesn't matter. Though this isn't listed so we'll go with "4 cm and 7 cm" instead.
Jamie and Imani each play softball. Imani has won 5 fewer games than Jamie. Is it possible for Jamie to have won 11 games if the sum of the games Imani and Jamie have won together is 30?
Answer:
No.
Step-by-step explanation:
They are giving us the information that Imani has 5 fewer wins than Jamie and they combine for 30 wins total. The question is asking us is it possible for Jamie to have one 11 games. To find how many games Imani won, we have to subtract 5 from Jamie's wins. 11-5 = 6. To then see if the wins add up to 30, we have to add Jamie's and Imani's wisn together, 11 + 5 ≠ 30, so therefore it is not possible for Jamie to have won 11 games.
What is the domain of the function f(x) 2/5 startroot x = ? all real numbers all real numbers less than 0 all real number less than or equal to 0 all real numbers greater than or equal to 0
Answer:
[tex]\boxed{\sf all \ real \ numbers \ greater \ than \ or \ equal \ to \ 0}[/tex]
Step-by-step explanation:
The domain of a function is all possible values for x.
[tex]\sf f(x)=\frac{2}{5} \sqrt{x}[/tex]
There are restrictions on x.
The square root of a number can be undefined if that number is less than 0.
The value of x is all real numbers greater than or equal to 0.
The domain of the function f(x) = (2/5)√x will be all real numbers greater than or equal to zero. Then the correct option is C.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The domain means all the possible values of x and the range means all the possible values of y.
The function is given below.
f(x) = (2/5)√x
The value under the square root should not be negative. Then the equation is given below.
x ≥ 0
Then the domain of the function f(x) = (2/5)√x will be all real numbers greater than or equal to zero.
Then the correct option is C.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ2
A company offering online speed reading courses claims that students who take their courses show a 5 times (500%) increase in the number of words they can read in a minute without losing comprehension. A random sample of 100 students yielded an average increase of 415% with a standard deviation of 220%. Calculate a 95% confidence interval for the average increase in number of words students can read in a minute without losing comprehension. Choose the closest answer.
Answer:
C.I = (371.88 , 458.12)
Step-by-step explanation:
Given that:
sample size n = 100
sample mean [tex]\overline x =[/tex] 415
standard deviation = 220
The objective is to calculate the 95% confidence interval for the average increase in number of words students who can read in a minute without losing comprehension.
At 95% confidence interval; level of significance ∝ = 1 - 0.95
level of significance ∝ = 0.05
[tex]z_{\alpha/2} = 0.05/2[/tex]
[tex]z_{\alpha/2} = 0.025[/tex]
The critical value at [tex]z_{\alpha/2} = 0.025[/tex] is 1.96
C.I = [tex]\overline x \pm M.O,E[/tex]
C.I = [tex]\overline x \pm z_{\alpha/2} \dfrac{\sigma }{\sqrt{n}}[/tex]
C.I = [tex]415\pm 1.96 \dfrac{220 }{\sqrt{100}}[/tex]
C.I = [tex]415\pm 1.96 *\dfrac{220 }{10}[/tex]
C.I = [tex]415\pm 1.96 *22[/tex]
C.I = [tex]415\pm 43.12[/tex]
C.I = (371.88 , 458.12)
HELP PLEASE!! I don't get it!!!!!!
Answer:
294.5 m²
Step-by-step explanation:
portion of circle is 360 - 130 = 230
πr²*x/360 = π(11.1)²*230/360 = 247.3
then add the non-right triangle area, 1/2ab sinC
1/2(11.1)(11.1) sin 130 = 47.2
247.3 + 47.2 = 294.5 m²
Multiply: (6x - 1)(6x +1)
Answer:
36x^2 -1
Step-by-step explanation:
6x times 6x= 36x^2
6x times 1= 6x
-1 times 6x= -6x
-1 times 1= -1
so, ...
36x^2+6x+(-6x)+(-1) = 36x^2 -1
How many three-digit numbers can you make if you are not allowed to use any other digits except 1 and 2? (You may use 1 and 2 in a number more than once or not at all!)
The first digit can be 1 or 2.
For each one ...
The second digit can be 1 or 2.
For each one ...
The third digit can be 1 or 2.
That's (2•2•2)= 8 different possibilities.
Five years ago, Alan was thrice as old as Aron. After ten years, Alan will be twice as old as Aron. How old are Alan and Aron?
Alan will be 50 yrs old and Aron will be 20 yrs old
the equation y=2(3^t) shows the number of infected people from an outbreak of the norovirus. the variable y represents the number of infected people and t represents time in weeks.
in how many weeks will the number if infected people reach 1458?
Answer:
Step-by-step explanation:
We have the equation
[tex] 2(3^t) = 1458[/tex]
Dividing by 2 on both sides we get
[tex] 3^t = 729[/tex]
Taking the natural logarithm on both sides we get
[tex] t \ln(3) = \ln(729)[/tex]
So t = \frac{\ln(729)}{\ln(3)} = 6.
So at 6 weeks we get 1458 infected people.
Given: EG - diameter m arc FG =41°, m arc EH =53° Find: m∠E, m∠GPF
Answer: m∠E = 20.5°
m∠GPF = 47°
Step-by-step explanation: An inscribed angle is an alge formed with its vertex on the circle. Its relation with arc is that the measure of an inscribed angle is half the measure of the intersected arc. For that reason:
m∠E = [tex]\frac{arcFG}{2}[/tex]
m∠E = [tex]\frac{41}{2}[/tex]
m∠E = 20.5°
Angle in F is:
m∠F = [tex]\frac{arcEH}{2}[/tex]
m∠F = [tex]\frac{53}{2}[/tex]
m∠F = 26.5°
The angle GPF is external to the triangle EPF, so the angle can be found by the following definition: The measure of an external angle of a triangle equals the sum of the non-adjacent angles, i.e.:
m∠GPF = m∠E + m∠F
m∠GPF = 20.5 + 26.5
m∠GPF = 47°
Answer:
b
Step-by-step explanation:
graph the line that represents the equation y=-2/3 x+1 helppp :(
Step-by-step explanation:
Hi there!!
Here, your equation is y= -2/3 x +1
so, let's find coordinate.
To find coordinate you must put the value of x.
so, when you keep value of x you will get,
x 0 3 6
y 1 -1 -3
Therefore, the coordinates are (0,1), (3,-1), (6,-3).
let me make you clear on using the value of x.
we generally put the value of variable (which is in right side) from a smaller digit like 0,1,2... or you may use 0,-1,-2... but they must be in eqaul interval such like i used the values in equal interval of 3 in above question.
I hope you got it...
if not you can ask me help..
now plot those points on graph, alright.
best of luck...
HELP PLEASE! Find the standard deviation for Data set 1 and 2. round to the nearest hundred. DATA SET ONE: 8.2, 11.6 8.7, 10.6, 9.4, 10.1, 9.3 DATA SET TWO: 9.3, 10.2, 8.1, 12.3, 8.7, 9.9, 10.1
Answer:
0.92 and 1.25 respectively
Step-by-step explanation:
0.92 and 1.25 respectively
first the mean of each value which is 9.7 and 9.8 respectively
standard deviation = square root of the mean deviation of each value
then deduct the mean from each element
and square each value and add them together. not you should square each deviation value before you add them
at last divide the result by the number of frequency and find it's square root
Answer:
0.92 and 1.25
Step-by-step explanation:
My other answer was deleted, I'm not sure why.
The distance from Parrot Point Airport to the Ivy Cliffs is 291 miles at and angle of 9.1 degrees northeast. There is a wind blowing southeast at 25 miles per hour. You want to make this trip in 3 hours by flying straight there. At what speed* and heading should you fly?
Answer:
The flight speed should be 84.79 miles per hour at angle of 22.92° Northeast
Step-by-step explanation:
The given information are;
The distance from Parrot Point Airport to Ivy Cliffs = 291 miles
The direction from Parrot Point Airport to Ivy Cliffs = 9.1° Northeast
The speed of the wind = 25 miles per hour
The direction of the wind = Southeast
The time for the journey = 3 hours
The component of the wind velocity are;
For Southeast direction which is an inclination of 45°
Speed of the wind = -25 × sin(45) + 25 × cos(45)
Without the wind, the velocity of flight will be V = Displacement/time, which gives;
V = 291/3 = 97 miles/hour = 97 mph
Let the required velocity of flying = X, we have;
X×sin(θ) + X×cos (θ) -25× sin(45) + 25 × cos(45) = 97×sin(9.1) + 97×cos(9.1)
X×sin(θ) -25× sin(45) = 97×sin(9.1)
X×sin(θ) = 97×sin(9.1 )+25× sin(45 ) = 33.02
X×sin(θ) = 33.02
X×cos (θ) + 25 × cos(45) = 97×cos(9.1)
X×cos (θ) = 97×cos(9.1)- 25 × cos(45) = 78.1
X×cos (θ) = 78.1
∴X×sin(θ)/(X×cos (θ)) = tan(θ) = 33.02/78.1 = 0.423
tan⁻¹(0.423) = 22.918≈ 22.92°
X×sin(θ) = 33.02
X = 33.02/(sin(θ)) = 33.02/(sin(22.92°)) = 84.79 miles per hour
Therefore, the flight speed should be 84.79 miles per hour at angle of 22.92° Northeast.
The angle of elevation from a sailboat in a lake to the top of a vertical cliff is 60∘60∘. The sailboat is 210 feet from the foot of the cliff. How high is the cliff?
Answer:
363.741 feet
Step-by-step explanation:
Let the height of the cliff be represented by x. Applying the appropriate trigonometric function, we have;
Tan θ = [tex]\frac{opposite side}{adjacent side}[/tex]
Tan [tex]60^{0}[/tex] = [tex]\frac{x}{210}[/tex]
cross multiply to have;
x = 210 × Tan [tex]60^{0}[/tex]
= 210 × 1.7321
= 363.741
The cliff is 363.741 feet high.
Gemma wants to draw a triangle with side lengths of 4 inches, 12 inches, and 17 inches. Which statement is true? This triangle exists because the sum of any two side lengths is greater than the length of the third side. This triangle exists because the sum of 4 and 12 is less than 17. This triangle does not exist because the sum of any two side lengths is greater than the length of the third side. This triangle does not exist because the sum of 4 and 12 is less than 17.
Answer:
The triangle inequality states that the sum of the lengths of the two shortest sides of a triangle must be greater than the length of the largest side. Because 4 + 12 > 17 is not a true statement, the answer is "This triangle does not exist because the sum of 4 and 12 is less than 17."
Answer:
This triangle does not exist due to the fact that the sum of 4 and 12 is less than 17
Step-by-step explanation:
The triangle formaction rule states that the 2 smaller sides must be able to combine and be greater than the greatest side.
Triangle
Sides - 3, 4, 5
3+4=7
Meaning the two smaller sides add up to because greater than 5.
Non-Triangle
Sides - 5, 6, 13
5+6=11
This means that this is not a triangle because the smaller sides ‘5 and 6’ do not add up to become greater than 13.
Gemma’s Triangle
Sides - 4, 12, 17
4+12=16
Hence, Gemma‘s figure is not a triangle because the 2 smaller sides ‘4 and 12’ don‘t add up to be greater than 17.
Find the arc length of AB!!! (NEED ASAP)
9.77 in
Step-by-step explanation:
arc length is 80/360 × 2 × pi × radius
2/9 × 2 × 22/7 × 7
88/9
9.77in
Answer:
arc length = 9,76(8) inches
Step-by-step explanation:
Find the arc lengthFormula
2π·r(x°/360°)
= 2·3,14·7in·80°/360°
= 3516,8in/360
= 9,76(8) inches
linear equations: w-3=15
Answer:
w = 18
Step-by-step explanation:
w-3=15
Add 3 to each side
w-3+3=15+3
w = 18
Answer:
w = 18.
Step-by-step explanation:
w - 3 = 15
w = 15 + 3
w = 18
Check your work!
18 - 3 = 15.
Hope this helps!
g(x)=sqrt8x what is domain of g
Answer:
x > or equal to 0
Step-by-step explanation:
you're welcome
Answer:
x > or equal to 0
The athletic club at school sold raffle tickets to raise money for equipment. The club sold a total of 1050 tickets,515 to teachers and 235 tickets to staff. If the winning ticket was picked at random what is the probability of the teacher or other staff member?
Answer:
Probability of the teacher or other staff is 0.7143
Step-by-step explanation:
pr(teacher or other staff) = pr(teacher) + pr(other staff) - pr(teacher and other staff)
Total number of tickets = 1050
Number of tickets sold to teachers = 515
Number of tickets sold to other staff = 235
pr(teacher) = [tex]\frac{515}{1050}[/tex]
= 103 [tex]\frac{2}{10}[/tex]
= 0.4905
pr(other staff) = [tex]\frac{235}{1050}[/tex]
= 47 [tex]\frac{2}{10}[/tex]
= 0.2238
Since the picking of the wining ticket is mutually exclusive, then;
pr(teacher and other staff) = 0
Thus,
pr(teacher or other staff) = 0.4905 + 0.2238 - 0
= 0.7143
PLEASE I NEED HELP ASAP! The function below represents the interest Jessi earns on an investment. Identify the term that represents the amount of money originally invested. f(x) = 1,000(1 + 0.05)x 1,000 1 0.05 1.05
Answer:
1000
Step-by-step explanation!
The formula for the amount accrued [ƒ(x)] on an investment earning compound interest is f(t) = P(1 + r)^t where:
P = the amount of money invested (the principal)
r = the interest rate per payment period expressed as a decimal fraction
t = the number of periods
Your formula is
f(x) = 1000(1 + 0.05)^x
In comparison, we can see that the term that represents the amount of money originally invested is 1000.
Answer:
(A) 1,000
Step-by-step explanation:
i just took the test
A climbing structure needs to be built in the shape of a square-based pyramid. Look at the diagram below. What is the perimeter of the flat, orange shape? PLEASE HELP A GIRL OUT
Answer:
40 m
Step-by-step explanation:
The perimeter of the flat, orange shape is the sum of all the sides that forms a boundary around the shape.
The shape is made up of 4 triangles having 2 equal side lengths each, which surrounds the center square.
Each side length of the triangle, that forms a boundary round the shape = 5 m.
There are 8 of this equal side length.
Perimeter = 8(5m) = 40 m
BEGINNING COORDINATES:
A- 2,2
B- 0,2
C- 4,4
Triangle ABC is dilated by a factor of 2 with the center of dilation at the origin to form triangle A′B′C′. What are the coordinates of triangle A′B′C′?
Question 1 options:
A)
A′ (0, 4), B′ (4, 0), C′ (16, 16)
B)
A′ (0, –4), B′ (–4, 0), C′ (–8, –8)
C)
A′ (0, 4), B′ (4, 0), C′ (8, 8)
D)
A′ (4, 0), B′ (0, 4), C′ (8, 8)
Answer:
The correct option is;
A'(4, 4), B'(0, 4), C'(8, 8).
Step-by-step explanation:
The beginning coordinates are;
A -2, 2
B - 0, 2
C - 4, 4
Given that triangle ABC is dilated by 2, the center of dilation being the origin, (0, 0), we have;
Given that the center of dilation is the origin, we multiply the x, and y values by the scale factor as follows;
(x, y) → (2·x, 2·y)
Which gives;
A - (2, 2) → A'(2×2, 2×2) = A'(4, 4)
B - (0, 2) → B'(2×0, 2×2) = B'(0, 4)
C - (4, 4) → C'(2×4, 2×4) = C'(8, 8)
The correct option is A'(4, 4), B'(0, 4), C'(8, 8).
HELP ME PLEASE THE DIAGRAM SHOWS A CIRCLE INSIDE A CIRCLE WORK OUT THE AREA OF THE CIRCLE
Answer:
64π
Step-by-step explanation:
Since the diameter of the circle is 16, the radius is half of that which is 8.
Area = πr² = 64π
Answer:
200.96 units[tex] {}^{2} [/tex]Step-by-step explanation:
Radius = 8 cm
Now, finding the area of circle:
[tex]\pi \: {r}^{2} [/tex]
Plug the values
[tex] = 3.14 \times {8}^{2} [/tex]
Evaluate the power
[tex] = 3.14 \times 64[/tex]
Calculate the product
[tex] = 200.96 \: {cm}^{2} [/tex]
Hope this helps..
Best regards!!
What the answer question now
Answer:
UW=41
Step-by-step explanation:
the tangent line and the radius always meet at a right angle(90 degrees)
UWV is a right angle triangle, apply the Pythagorean theorem:
a²+b²=c² (a=40, b=9, c=UW)
40²+9²=c²
c=√40²+9²=√1600+81=√1681
c= 41
Please help I’m being timed!!! System shows there is no profit made until the price reaches $95 per unit, a maximum profit at a price of $140 per unit, and no profit at a price over $185 per unit. Which graph models the function?
Answer:
4th one
Step-by-step explanation:
Determine the inequality represented by the following diagram
can someone explain how to use sin cos and tan on right angled triangles
Round this however you need to
=================================================
Explanation:
The reference angle is 56 degrees. The side 26.5 is adjacent to this angle as it is the leg closest to the angle (in contrast to the opposite leg or opposite side that is furthest from the reference angle)
The hypotenuse is d. The hypotenuse is always the longest side. The longest side is always opposite the largest angle of a triangle.
We will use the cosine ratio as it is the ratio of adjacent over hypotenuse
cos(angle) = adjacent/hypotenuse
cos(56) = 26.5/d
d*cos(56) = 26.5
d = 26.5/cos(56)
d = 47.3897287242421
You use your calculator for the last step shown above. Make sure your calculator is in degree mode. Round that value however you need to.
Here is the formula of sin cos tan :
sin x = opposite/hypotenuse
cos x = adjacent / hypotenuse
tan x = opposite / adjacent
d = hypotenuse
x = the angle known in your pic
like example if in your picture:
adjacent = 26.5
if want to find the d
cos x = adjacent / hypotenuse
cos 56 = 26.5 / d
d = 26.5 : cos(56)
d = 47.390 (3 significant figures)
and if want to find the opposite
tan x = opposite/adjacent
tan 56 = opposite/ 26.5
opposite = 26.5 × tan(56)
opposite = 39.288
-> Sorry if im wrong