What is the sum of the series? 38 Σ j=1 ( j3 − 25j )
475,684
512,735
530,556
548,131
Answer:
530, 556 C.
Step-by-step explanation:
Just did it
Answer:
c
Step-by-step explanation:
Marco charges $42.99 for a
repair that takes 2 hours.
Marco charges $87.99 for a
repair that takes 5 hours.
for the slope and y intercept
Answer:
y-intercept= 12.99 slope= 15.00x+12.99
Step-by-step explanation:
Find the Volume of the given cylinder. Round your answer to the nearest tenth. 3 m 3 m
Answer: The volume of the cylinder is approximately 21.2 cubic meters
Step-by-step explanation:
To find the volume of a cylinder, we use the formula:
V = πr^2h
where:
V = volume
r = radius
h = height
In this case, we are given that the cylinder has a height of 3m, but we need to determine the radius.
Since we are not given the radius directly, we can estimate it from the diameter. If the cylinder has a diameter of 3m, then the radius would be half of that, or 1.5m.
So, substituting the values into the formula, we get:
V = π(1.5)^2(3)
V ≈ 21.2 m^3
Rounding to the nearest tenth, the volume of the cylinder is approximately 21.2 cubic meters.
Please helppppimalmost done with homework!!!!
The value of the given expression will be 3√5.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression c² = 45 will be solved as below:-
c² = 45
Take the square root of the number 45.
c = √45
c = √ 9 x √5
c = 3√5
Therefore, the value of the given expression will be 3√5.
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given circle o, what are the values of x and y?
Answer:
x = 38°
y = 90°
Step-by-step explanation:
x is an inscribed angle, so, 78/2=39
y is an inscribed angle of which connects two endpoints of the diameter, so y = 90°
Answered by GAUTHMATH
Use synthetic division to evaluate f (x)= x^3+ 6x^2-2x - 12 when x = 3
The function value of given function at x = 3 is 63.
Synthetic division :The given function is,
\(f(x)=x^{3} +6x^{2} -2x-12\)
We have to calculate function value when \(x=3\).
\(f(3)=3^{3} +6*3^{2}-2(3)-12\\ \\f(3)=27+54-6-12\\\\f(3)=81-18\\\\f(3)=63\)
Thus, the function value of given function at x = 3 is 63.
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Which is an x-intercept of the graph of the function y=cot(3x)?
Answer:
(pi/2,0)
Step-by-step explanation:
MO bisects angle LMN , m angle LMO=8x-24 , and m angle NMO=3x+31 Solve for x and find m angle LMN . The diagram is not to scale.
We will see the how we can manipulate interioir angles in terms of variables and measure their degree of angle mathematically.
We are given the following statements.
An angle LMN is bisected by a ray ( MO ). This statement can be read as that we have an unknown large angle < LMN which is divided into two halves ( bisected ) by a ray with common vertex at M originating from point O.
We can represent the above statement in a graphical form for better understanding as follows:
We see that the angle < LMN which unknown can be given a symbol as follows:
\(\angle LMN\text{ = }\theta\)The ray MO divided the above angle in to two halves. The two created constituent angles are marked and named as follows:
\(\angle LMO\text{ \& }\angle NMO\)Since the larger angle is halved then the two consituent angles must be equal with each other and:
\(\angle LMO\text{ = }\angle NMO\text{ = }\frac{\theta}{2}\)Each of the created constituent angles are expressed in terms of variable ( x ) as follows:
\(\begin{gathered} \angle LMO\text{ = 8x - 24} \\ \angle NMO\text{ = 3x + 31} \end{gathered}\)We can use the angle bisection relation that we wrote above and equate the two equally halved angled as follows:
\(\begin{gathered} \angle LMO\text{ = }\angle NMO \\ 8x\text{ - 24 = 3x + 31} \end{gathered}\)Now we can solve the above equation for the variable ( x ) as follows:
\(\begin{gathered} 5x\text{ = 55} \\ \textcolor{#FF7968}{x=}\text{\textcolor{#FF7968}{ 11 degrees}} \end{gathered}\)Using the value of ( x ) we can now evaluate the anlge measures of constituent angles as follows:
\(\begin{gathered} \angle LMO\text{ = 8}\cdot(11)\text{ - 24 = 88 - 24 = 64 degrees} \\ \angle NMO\text{ = 3}\cdot(11)\text{ + 31 }=\text{ 33 + 11 = 64 degrees} \end{gathered}\)Now again we can use the anlge bisection relationship to determine the measure of the larger angle LMN as follows:
\(\begin{gathered} \angle LMN\text{ = 2}\cdot\angle LMO\text{ = 2}\cdot\angle NMO \\ \angle LMN\text{ = 2}\cdot64 \\ \textcolor{#FF7968}{\angle LMN}\text{\textcolor{#FF7968}{ = }}\textcolor{#FF7968}{128}\text{\textcolor{#FF7968}{ degrees}} \end{gathered}\)Hence, the answers are:
\(\begin{gathered} \textcolor{#FF7968}{x}\text{\textcolor{#FF7968}{ = 11 degrees}} \\ \textcolor{#FF7968}{m\angle}\text{\textcolor{#FF7968}{LMN = 128 degrees}} \end{gathered}\)Find the total surface area of a cone whose radius of base is 6cm and slant height is 8cm.
Answer:
The Total Surface Area of cone is 264 cm²
Step-by-step explanation:
Given:Radius (r) = 6 cm
Slant height (l) = 8 cm
To find TSA of cone
A = πr(l + r)
A = 22/7 × 6 × (8 + 6)
A = 22/7 × 6 × (14)
A = 22/7 × 84
A = 22 × 12
A = 264 cm²
Thus, The Total Surface Area of cone is 264 cm²
-TheUnknownScientist 72
please awnser quqestion almost done asking questions
Answer:
12 feet
Step-by-step explanation:
Use the Pythagorean Theorem.
5² + x² = 13²
25 + x² = 169
169 - 25 = 144
√144 = 12
12 feet
I need to figure out whether or not this is a solvable equation. HELP
Answer:
its not
Step-by-step explanation:
Answer:
yeah this question i s solvable
Step-by-step explanation:
\( \frac{1}{3} (4 + 2) = - \frac{2}{5} (4 - 9)\)
\( \frac{1}{3} \times 6 = - \frac{2}{5} \times ( - 5)\)
please try ti do it on thi way
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what is the y-intercept of this line: y=5-7x
Answer:
5
Explanation: y-intercepts are just numbers that don't have any variables and they can be found on the y axis.
Answer:
5
Step-by-step explanation:
Rewrite the equation as y=-7x+5.
y=mx+b is slope-intercept form with mx representing slope and b representing the y-intercept.
2x - 5 = 7 what is x
Answer: x = 6
Step-by-step explanation:
2x = 7 + 5
x = 12/2 = 6
please help it’s for tomorrow..
one segment measures 161 cm. Calculate its multiple according to the number 3 and its submultiple according to the number 7
Answer:
78
Step-by-step explanation:
The answer is 78 or 87 dear friend its a mystery
Find the sum R of two vectors: A
and
that given by
A
=
i
^
+4
j
and
j
=
2
^
−
j
^
What is the magnitude of vector R, And Direction of R ?
The sum of the given two vectors A and B is found to be R = 3i + 3j. The magnitude of vector R is found to be 3√2 and its direction is 45°.
The sum of the two vectors A and B is given by: R = A + B
Here, vector A = i + 4j And, vector B = 2i - j
Now, to find R, we will add the respective components of the two vectors, i.e,
R = (i + 4j) + (2i - j)
= 3i + 3j
The magnitude of vector R is given by the formula:
|R| = \(\sqrt{(R_x^2 + R_y^2)}\)
Substituting the values,
|R| = √(3² + 3²) = √18 = 3√2
The direction of vector R is given by the formula:
θ = tan⁻¹(\(R_y/R_x\))
θ = tan⁻¹(3/3)
θ = 45°
Therefore, the magnitude of vector R is 3√2 and its direction is 45°.
The sum of the given two vectors A and B is found to be R = 3i + 3j. The magnitude of vector R is found to be 3√2 and its direction is 45°.
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name the following line 6 different ways
Answer:
what line??
Step-by-step explanation:
Angle Pairs ( Lines cut by a Transversal )
i don't really get it. an explanation would be nice, too, if possible..
- due in 3 hours
please answer ONLY if you know, thank you :)) !!
What are pair relation exists between angle 8 and angle 3? Use the figure below as a reference.
What are pair relation exists between angle 6 and angle 2? Use the figure below as a reference.
What are pair relation exists between angle 5 and angle 3? Use the figure below as a reference.
What are pair relation exists between angle 8 and angle 2? Use the figure below as a reference.
What are pair relation exists between angle 7 and angle 3? Use the figure below as a reference.
What are pair relation exists between angle 6 and angle 1? Use the figure below as a reference.
What are pair relation exists between angle 5 and angle 4? Use the figure below as a reference.
What are pair relation exists between angle 6 and angle 4? Use the figure below as a reference.
What are pair relation exists between angle 7 and angle 1? Use the figure below as a reference.
What are pair relation exists between angle 8 and angle 1? Use the figure below as a reference.
Answer:
See below
Step-by-step explanation:
What are pair relation exists between angle 8 and angle 3? Use the figure below as a reference.
Answer: Exterior alternate angles
Exterior alternate angles are equal in measure.
\(\implies m\angle 8 = m\angle 3\)
What are pair relation exists between angle 6 and angle 2? Use the figure below as a reference.
Answer: Interior angles on the same side of transversal.
Interior angles on the same side of transversal are supplementay.
\(\implies m\angle 6 + m\angle 2 =180\degree\)
What are pair relation exists between angle 5 and angle 3? Use the figure below as a reference.
Answer: Corresponding angles
Corresponding angles are equal in measure.
\(\implies m\angle 5 = m\angle 3\)
What are pair relation exists between angle 8 and angle 2? Use the figure below as a reference.
Answer: Corresponding angles
Corresponding angles are equal in measure.
\(\implies m\angle 8 = m\angle 2\)
What are pair relation exists between angle 7 and angle 3? Use the figure below as a reference.
Answer: Exterior angles on the same side of transversal
Exterior angles on the same side of transversal are supplementay.
\(\implies m\angle 7+ m\angle 3=180\degree\)
What are pair relation exists between angle 6 and angle 1? Use the figure below as a reference.
Answer: Corresponding angles
Corresponding angles are equal in measure.
\(\implies m\angle 6 = m\angle 1\)
What are pair relation exists between angle 5 and angle 4? Use the figure below as a reference.
Answer: Interior angles on the same side of transversal
Interior angles on the same side of transversal are supplementay.
\(\implies m\angle 5+ m\angle 4=180\degree\)
What are pair relation exists between angle 6 and angle 4? Use the figure below as a reference.
Answer: Alternate angles
Alternate angles are equal in measure.
\(\implies m\angle 6 = m\angle 4\)
What are pair relation exists between angle 7 and angle 1? Use the figure below as a reference.
Answer: Exterior alternate angles
Exterior alternate angles are equal in measure.
\(\implies m\angle 7 = m\angle 1\)
What are pair relation exists between angle 8 and angle 1? Use the figure below as a reference.
Answer: Exterior angles on the same side of transversal.
Exterior angles on the same side of transversal are supplementay.
\(\implies m\angle 8+ m\angle 1=180\degree\)
\( \: \)
Solution :
⠀
1. What are pair relation exists between angle 8 and angle 3?
Alternate exterior angles. A pair of angles in which one arm of each of the angles is on the opposite sides of the transversal and the other arm in opposite direction is called a pair of alternate exterior angles.⠀
2. What are pair relation exists between angle 6 and angle 2?
∠6 + ∠2 = 180°. Therefore, ∠6, ∠2 is a pair of interior angles on the same side of the transversal.⠀
3. What are pair relation exists between angle 5 and angle 3?
Corresponding angles.A pair of angles in which one arm of each angle of a pair is on the same of the transversal and the other arm of the angles of the pair are directed in the same direction are known as Corresponding angles.⠀
4. What are pair relation exists between angle 8 and angle 2?
Corresponding angles.A pair of angles in which one arm of each angle of a pair is on the same of the transversal and the other arm of the angles of the pair are directed in the same direction are known as Corresponding angles.⠀
5. What are pair relation exists between angle 7 and angle 3?
∠7 + ∠3 = 180°. Therefore, ∠7, ∠3 is a pair of exterior angles on the same side of the transversal.⠀
6. What are pair relation exists between angle 6 and angle 1?
Corresponding angles.A pair of angles in which one arm of each angle of a pair is on the same of the transversal and the other arm of the angles of the pair are directed in the same direction are known as Corresponding angles.⠀
7. What are pair relation exists between angle 5 and angle 4?
∠5 + ∠4 = 180°. Therefore, ∠6, ∠2 is a pair of interior angles on the same side of the transversal.⠀
8. What are pair relation exists between angle 6 and angle 4?
Alternate interior anglesA pair of angles in which one arm of each of the angles is on the opposite sides of the transversal is called a pair of alternate interior angles.⠀
9. What are pair relation exists between angle 7 and angle 1?
Alternate exterior angles. A pair of angles in which one arm of each of the angles is on the opposite sides of the transversal and the other arm in opposite direction is called a pair of alternate exterior angles.Which of the following could be the first step in solving the equation below?
6x=24
A. V6 = √24
B. log 6* = 24
C.6-24
D. log 6x = log 24
The correct first step in solving the equation 6x=24 is: D. log 6x = log 24.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It contains an equals sign (=) and may contain variables, constants, and arithmetic operations. Equations are used to solve problems and find unknown values.
Here,
Then, using the logarithmic property of equality, we can simplify this to:
log 6x = log 24
log 6 + log x = log 24
log x = (log 24)/(log 6)
Finally, we can solve for x by taking the antilogarithm (exponentiating) of both sides:
\(x = 10^{log x}\)
\(=10^{log 24/log 6}\)
= 8.6587 (rounded to four decimal places).
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45,387 ÷ 18 = ? (long divison) show ur work
Answer:
2521.5
Step-by-step explanation:
Step by step in the Picture below
Answer:
I have 2,521.9
Step-by-step explanation:
18 | 45,387
18 can't go into 4 so bring down the 5=45
18 can go into 45 2 times 18 x 2-36
Next subtract 45 by 36=9
bring down the 3 next to make 93
18 can go into 93 5 times 18 x 5=90
subtract 93 by 90=3 then bring down the 8 to make 38
18 can go into 38 2 times 18 x 2=36 so subtract 38 by 36=2
Next bring down the 7 so 27 18 can only go into that once 18 x 1=18 so put a 1 and how many is left over 18 to 27=9
This is what is should look like.
2,521.9
-----------
18| 45,387
Above the 5 needs to be a 5 above 3 needs to be a 2 above the 8 needs to be a 1 and at the end a decimal with a remainder of 9
Hope this helps have a good day:)
Suppose you are conducting a test of significance to try to determine whether your cat, Hope, will go to the correct object (out of two) when it is pointed to, just like Harley the dog did in the Exploration 1.1. You test Hope 100 times and finds she goes to the correct object in 70 of those 100 trials. In this scenario, what is the parameter?
In this scenario, the parameter is the sample proportion, which is of 0.7.
What is the parameter?When a hypothesis is tested, the parameter is the information obtained from the sample, mean or proportion.In this case, it is the sample proportion, which is the number of desired outcomes divided by the number of total outcomes.
She goes to the correct object in 70 of those 100 trials, hence:
\(p = \frac{70}{100} = 0.7\)
The parameter is the sample proportion, which is of 0.7.
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among the following below which of these represents a plane
a. needle
b. screen of a cellphone
c. stars in the sky
d. tip of a pen
Answer:
B
Step-by-step explanation:
among the following below which of these represents a plane screen of a cellphone .
A spring is attached at one end to support B and at the other end to collar A represented in the figure. Collar A slides along the vertical bar between points C and D. In the figure, the angle is the angle created as the collar moves between points Cand D. When the spring is stretched and the distance from point A to point Bis 5.3 feet, what is the value of e to the nearest tenth of a degree? 3 ft B 00000 А
The Distance from point A to point B is: 3.4 ft when θ = 28° and The value of θ is: 54.8°
Given,
A spring is attached at one end to support B and at the other end to collar A.
Part A: Reference angle (θ) = 28°
We have to find out the distance of point A to point B.
Adjacent = 3 ft (given)
Apply the trigonometry function to find AB
cos θ = adj / hypotenuse
Substituting all the values ,
cos 28°= 3/AB
AB = 3/cos 28°
AB = 3.4 ft (nearest tenth of a foot)
Part B:
It is given that Distance from point A to point B is 5.2 feet
We have to calculate the Value of θ
adjacent = 3 ft
hypotenuse = AB = 5.3 ft
To find θ , We will again apply the trigonometry function
cos θ = adjacent/hypotenuse
Substituting all the given values
cos θ = 3/5.3
θ = cos⁻¹ ( 3 / 5.3)
θ = 54.8°
That is,
The length of point A to point B is 3.4 feet
The value of θ is 54.8°
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Write equations for the vertical and horizontal lines passing through the point (8, 0)
An animal shelter conducts an annual fundraising drive. The animal shelter must raise at least enough money to cover their annual rental of $2,500 and weekly expenses of $450. So far, the shelter has received a one-time donation of $125 and pledged donations of $680 per week. Which inequality can be used to find w, the number of weeks it can take for the shelter to meet the goal?
The inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is: w ≥ 10
To find the inequality that can be used to determine the number of weeks it can take for the animal shelter to meet its fundraising goal, we need to consider the total expenses and donations.
Let's break down the expenses and donations:
Expenses:
Annual rental = $2,500
Weekly expenses = $450
Donations:
One-time donation = $125
Pledged donations per week = $680
Let w represent the number of weeks it takes for the shelter to meet its goal.
Total expenses for w weeks = Annual rental + Weekly expenses * w
Total expenses = $2,500 + $450w
Total donations for w weeks = One-time donation + Pledged donations per week * w
Total donations = $125 + $680w
To meet the goal, the total donations must be greater than or equal to the total expenses. Therefore, the inequality is:
Total donations ≥ Total expenses
$125 + $680w ≥ $2,500 + $450w
Simplifying the inequality, we have:
$230w ≥ $2,375
Dividing both sides of the inequality by 230, we get:
w ≥ $2,375 / $230
Rounding the result to the nearest whole number, we have:
w ≥ 10
Therefore, the inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is:
w ≥ 10
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14.
the function y=-16t^2+ 50t +4 describes the height (in feet) of a discus t seconds after it is released. describe the domain and range of the function. find the maximum height of the discus.
The domain is t=0 to t=3.2 and range is y = 0 to 57.125 feet.
What are Domain and range of a Function?
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values. The y values are those.A function can be compared to a piece of equipment on an assembly line. A few screws and nuts are located on one end of the assembly line, while a car is located on the other. The function is the device in the center. The domain is the screws and bolts that we insert into the machine. The car at the other can be thought of as the range.Given function is : y = -16t^2 + 50t + 4
It hits the ground when y=0
0 = -16t^2 + 50t + 4
8t^2 -25t -2 = 0
t = 25/16 + (1/16)sqrt(625+64) = (25+26.25)/16 = 51.25/16 = 3.2 seconds
domain is t=0 to t=3.2 [3.2]
take the derivative and set it equal to zero to find maximum height
-32t +50 = 0
t = 50/32 = 25/16 = 1.5625 seconds
-16(25/16) + 50(25/16) + 4 = 34(25/16) + 64/16 = (17(25)+32)/8 = 57.125 = maximum height
range is y = 0 to 57.125 feet. the discus goes from 4 feet to 57 1/8 feet and back down to 0 feet.
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HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Emma opens a savings account with $100. She saves $60 per month. The equation T(n) = 60n + 100 can be used to represent this problem, where T(n) is Emma's total savings in dollars and n, represents the number of months. Question 1 (2 points) Which term in the equation is fixed? What does the fixed term represent in the context of the problem?
Answer:
The fixed term is the y-intercept. In this case the y-intercept would be 100.
Step-by-step explanation:
This is because the 100 dollars cannot be changed. You can always change the amount you save per month and the amount of months you save.
I NEED EMERGENCY HELP HELP HELP HELPI WILL MARKKK YOU BRAINLIST
Answer:
D. 68+(6x+4)=180
x = 18
Step-by-step explanation:
"Supplementary angles" are angles that add up to 180°
So we add the twi angles 68+(6x+4) and that equals to 180°.
68 + 6x + 4 = 180
add 68 and 4
72 + 6x = 180
subtract 72.
6x = 108
divide by 6.
x = 18
Can someone help find all 12 metaphors of this poem
On the fine wire of her whine she walked,
Unseen in the ominous bedroom dark.
A traitor to her camouflage, she talked
A thirsty blue streak distinct as a spark.
I was to her a fragrant lake of blood
From which she had to sip a drop or die.
A reservoir, a lavish field of food,
I lay awake, unconscious of my size.
We seem fair-matched opponents. Soft she dropped
Down like a anchor on her thread of song.
Her nose sank thankfully in; then i slapped
At the sting on my arm, cunning and strong.
A cunning, strong Gargantua. I struck
This lover pinned in the feast of my flesh,
Lulled by my blood, relaxed, half-sated, stuck
Engrossed in the gross rivers of myself.
Success! Without a cry the creature died,
Became a fleck of fluff upon the sheet.
The small welt of remorse subsides as side
By side we, murderer and murdered, sleep.
Here are 12 metaphors identified in the poem:
"On the fine wire of her whine she walked" - The wire represents a precarious situation or challenge the subject is navigating."Unseen in the ominous bedroom dark" - The darkness represents a mysterious or foreboding atmosphere.The metaphors in the poem"A traitor to her camouflage, she talked" - The subject's camouflage represents hiding or disguising one's true intentions or nature."A thirsty blue streak distinct as a spark" - The blue streak represents a rapid and intense burst of speech or expression."I was to her a fragrant lake of blood" - The fragrant lake of blood represents a source of sustenance or nourishment."From which she had to sip a drop or die" - Sipping a drop of blood represents a desperate need or dependence."A reservoir, a lavish field of food" - The reservoir and field of food represent abundance or plenty."We seem fair-matched opponents" - Being fair-matched opponents represents a balanced or equal relationship."Soft she dropped down like an anchor on her thread of song" - Dropping down like an anchor represents sinking deeply or firmly."Her nose sank thankfully in" - Sinking the nose represents a deep sense of satisfaction or contentment."I slapped at the sting on my arm" - The sting represents a physical or emotional pain."Engrossed in the gross rivers of myself" - The gross rivers represent the complex or intricate aspects of one's own existence.These are the metaphors found in the poem, providing symbolic or figurative meanings to describe the actions, emotions, or relationships portrayed.
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The radius of a circle is 3 centimeters.
Enter the circumference of the circle, in centimeters. Round your answer to the nearest hundredth.
Use 3.14 for π .
Answer:
28.26 cm for circumference
Step-by-step explanation:
we know radius
Circumference formula is
Pi*diameter
we double radius for diameter
which is 6
now for that 6 we multiply that by 3.14
and your final answer is 28.26