The required value of x for functions at f(x) = g(x) is given as 6.
Given that,
Two functions are graphed. With the help of graphs determine the value of x that is a solution of equation f(x)=g(x).
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
When observing the graph carefully,
The two curves intersect each other, and the point of the intersection represents the situation of f(x) = g(x), this intersection point, when observing the graph, lies on the point x = 6.
Thus, the required value of x for functions at f(x) = g(x) is given as 6.
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Solve for x. Round to the nearest tenth.
x =
(25 points)
The length of the third side (the side opposite the acute angle) is approximately 12.0 units.
What is Triangle ?
Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.
To solve for x in the given right triangle, we can use the Pythagorean theorem, which states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, we have:
x*x + 12*12 = 17*17
Simplifying and solving for x, we get:
x*x + 144 = 289
x*x = 289 - 144
x*x = 145
x = sqrt(145)
Using a calculator, we get:
x ≈ 12.0
Therefore, the length of the third side (the side opposite the acute angle) is approximately 12.0 units.
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What percentage of students attend either public school or college
The percentage of students attend either public school or college will be 90%.
How to illustrate the percentage?Let the students in public school be 40%
Let the students in college be 50%
Let those who stay at home be 10%
Therefore, the percentage of students attend either public school or college will be:
= 40% + 50%
= 90%
Therefore, the percentage of students attend either public school or college will be 90%.
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In a school, the following information are given:
Public school students = 40
Number of those in college = 50
Number of those at home = 10
What percentage of students attend either public school or college?
a. 90%
b. 50%
c. 40%
d. 10%
Kevin runs 7 miles in 50 minutes. At the same rate, how many miles would he run in 75 minutes?
Answer:
10.5 miles
Step-by-step explanation:
He runs 7/50 of a mile in 1 minute
In 75 min, he runs (7/50) • 75 = 10.5
He runs 10.5 mi in 75 min
How many times must i ask :(
Step-by-step explanation:
ask for what, if you need help you
Answer:
hi
Step-by-step explanation:
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The 164° and 81° located with the angle x at a point indicates that the size of the angle x is 115°
What is the sum of angles at a point?The angles that are arranged around a point add up to 360°. The angles at a point are the angles which together, produce a rotation of 360°.
The sum of angle at a point can be used to find the measure of the angle x as follows;
The addition of angles at a point = 360°
Therefore; 164° + 81° + x = 360°
Therefore; x = 360° - (164° + 81°) = 115°
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How do Dr. Livesey and Mr. Trelawney react to the map in chapters 4-6 of Treasure Island?
A. They are giddy and filled with delight.
B. They are confused and filled with wonder.
C. They are unimpressed and filled with doubt that it is real.
D. They are frightened and filled with terror.
In sections 4-6 of Treasure Island, C. describes how Dr. Livesey and Mr. Trelawney respond to the chart. People are disappointed and overwhelmed with skepticism about its authenticity.
In the novel Treasure Island, who is Dr. Livesey?Throughout Treasure Island, Dr. Livesey, a physician and judge, acts as the narrative's only sane figure. He is bold and straightforward enough already to start standing up to his pals and also the most infamous thieves.
here, we have,
What else does Dr. Livesey look like in Treasure Island?
Dr. Livesey describes oneself via deeds rather than being characterized by Stevenson. He possesses the traits that outweigh the cleverness and cruelty of his fearsome foe Silver: intelligence, bravery, and coolness.
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Can you find the surface area of a rectangular prism 2,3,4
Answer:
48
Step-by-step explanation:
4*2*3 for the 4 flaps
2*4*3 for the 2 tops
(4*2*3) + (2*4*3) = 48
Answer:
52 square inches
Step-by-step explanation:
to find the surface area of a rectangular prism the formula is
S.A.=2(l*w+l*h+w*h)
2(4*3+4*2+3*2)
=52 square inches
here l is length w is width and h is height
Solve each equation by completing the square.
d² - 24d + c
Answer:
d² - 24d + c = (d - 12)² - 144 + c
Mr. Lopez and Ms. Spence both went on separate road
trips this summer. Ms. Spence drove 873 total miles and
Mr. Lopez drove 77 more miles than Ms. Spence. How
many miles did Mr. Lopez drive on his road trip?
Answer:
950 miles
the problem states that Mr. Lopez drove 77 more miles so just add 873+77 to get 950 miles
A 6500 gallon storage tank is 2/13 full of oil. How many gallons of oil are in the tank
The gallons of oil in the tank is 1000
A 6500 gallon storage tank is 2/13 full
The number of oil in the tank can be calculated by multiplying the amount of gallons in the tank which is 6500 by the measurement of the tank which is 2/13
= 2/13 × 6500
= 13,000/13
= 1,000
Hence 1000 gallons of oil are in the tank
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Match each step with the correct ordered description for how to construct a copy of an angle. (There are 10 steps)
A ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.
The steps for constructing a copy of an angle:
Step 1: Draw the angle.
Step 2: Place the center of the protractor on the vertex of the angle.
Step 3: Line up the baseline of the protractor with one of the angle's rays.
Step 4: Read the degree measure where the other ray crosses the protractor.
Step 5: Draw a ray from the vertex of the angle to the right.
Step 6: Use a ruler to mark the same distance on the ray that was just drawn.
Step 7: Draw a ray from the vertex through the point just marked on the ray.
This is the copy of the angle's second ray.
Step 8: Use a compass to draw an arc centered at the vertex of the original angle that passes through one of the angle's rays.
Step 9: Without adjusting the compass, draw another arc that intersects the previous arc at a point.
Step 10: Draw a ray from the vertex through the point where the two arcs intersect.
This is the copy of the original angle.
Using a compass, draw an arc centered on the vertex of the original angle passing through one of the angle rays. Place the tip of the
compass on the vertex of the original angle and draw an arc that intersects one of the angle rays.
Draws another arc that intersects the previous arc at a point without adjusting the compass.
Draw a second arc that intersects the first arc at another point, keeping the compass latitude.
Using a ruler or ruler, draw a ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.
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Please check all that apply
The symbols which correctly relates the two numbers are :
>≥≠We could relate the two given numbers 100 and 20 on the basis of magnitude and equality.
100 is greater than 20, 100> 20
100 is greater than or equal to 20 , 100 ≥ 20
100 is not equal to 20 , 100≠20
Therefore, the symbols which relates the numbers are :
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20 points !!
Alexis has the following grades in his math class:
Homework grades: 76, 82, 85
Quiz grades: 74, 80, 80
Test Grades: 60, 68
If the teacher weights homework at 10%, Quizzes at 20%, Tests at 60%, what is her current class average? Please be careful with this one the categories don’t sum to 100% because she hasn’t taken her final exam yet.
Question 5 options:
a) 81
b) 76
c) 69
d) 72
Answer:
C
Step-by-step explanation:
First we need to find the average in every section, such as the Hw, quiz and tests.
(76+82+85)/3=81 Hw
(74+80+80)/3=78 quiz
(60+68)/2=64 test
Hw is weighted at 10% so it is 81×1=81.
Quizzes are weighted at 20% so 78×2=156
Tests are weighted at 60% so 64×6=384.
Add them all up then divide them by 9,
(81+156+384)/9= 69%
Fill in the table using this function rule.
y=3x-1
X Y
1
4
5
7
The completed table using this function rule is,
Input (x) 1 4 5 7
Output (y) 2 11 14 26
What is the function rule?Function rule is the rule of writing the relationship between the two variables, one is dependent and another is independent.
The table given in the problem is;
Input (x) 1 4 5 7
Output (y)
Thus we need to write such a function, which gives the value of (y).
y=3x-1
Complete the table using the above function rule;
At (x) equal to 1,
y=3x-1
y=3(1)-1
y = 2
At (x) equal to 4,
y=3x-1
y=3(4)-1
y = 11
At (x) equal to 5,
y=3x-1
y=3(5)-1
y = 14
At (x) equal to 7,
y=3x-1
y=3(7)-1
y = 26
Hence, the completed table is,
Input (x) 1 4 5 7
Output (y) 2 11 14 26
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Duane begins paying a $5,000
student loan with an annual interest rate of 6.5%
compounded monthly. He schedules monthly payments of $118.57
for 4
years.
The following table shows the first payment in the amortization schedule.
Payment
Number Loan
Amount Payment Interest Principal Remaining
Balance
1
$5,000.00
$118.57
?
What amount of Duane's first payment goes to interest?
Responses
The amount of Duane's first payment that goes to interest is approximately $26.47.
To determine the amount of Duane's first payment that goes to interest, we need to use the amortization formula for a loan.
The formula to calculate the interest portion of a loan payment is:
Interest = Remaining Balance * Monthly Interest Rate.
Let's calculate the interest for the first payment using the given information:
Loan Amount = $5,000.00
Monthly Payment = $118.57
First, we need to calculate the monthly interest rate:
Monthly Interest Rate = Annual Interest Rate / 12
= 6.5% / 12
= 0.00542
Next, we need to calculate the remaining balance after the first payment:
Remaining Balance = Loan Amount - Principal Paid
= $5,000.00 - $118.57
= $4,881.43
Finally, we can calculate the interest portion of the first payment:
Interest = Remaining Balance * Monthly Interest Rate
= $4,881.43 * 0.00542
= $26.47
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COMPLEX NUMBERS (DE MOIVRE THEOREM) NEED HELP
a) These are the four solutions to the equation z⁴ = 1. We can plot these solutions on an Argand diagram by marking points at (1, 0), (0, 1), (-1, 0), and (0, -1).
b) These are the three solutions to the equation z³ = 8. We can plot these solutions on an Argand diagram by marking points at (2, 0), (-1, √3), and (-1, -√3).
c) These are the three solutions to the equation z³ = i. We can plot these solutions on an Argand diagram by marking points at (1, 0), (-1/2, √3/2), and (-1/2, -√3/2).
What is the explanation for the above results?
a) To find all solutions to the equation z⁴ = 1, we can use De Moivre's theorem:
z⁴ = 1 = cos(0) + i sin(0)
We can rewrite this in polar form as:
z = cos(0/4 + 2kπ/4) + i sin(0/4 + 2kπ/4)
where k = 0, 1, 2, 3.
Simplifying the expression for z, we get:
z = cos(kπ/2) + i sin(kπ/2)
For k = 0, we get z = 1.
For k = 1, we get z = i.
For k = 2, we get z = -1.
For k = 3, we get z = -i.
These are the four solutions to the equation z⁴ = 1. We can plot these solutions on an Argand diagram by marking points at (1, 0), (0, 1), (-1, 0), and (0, -1).
b) To find all solutions to the equation z³ = 8, we can use De Moivre's theorem:
z³ = 8 = 8(cos(0) + i sin(0))
We can rewrite this in polar form as:
z = 2(cos(0/3 + 2kπ/3) + i sin(0/3 + 2kπ/3))
where k = 0, 1, 2.
Simplifying the expression for z, we get:
z = 2(cos(kπ/3) + i sin(kπ/3))
For k = 0, we get z = 2.
For k = 1, we get z = -1 + i√3.
For k = 2, we get z = -1 - i√3.
These are the three solutions to the equation z³ = 8. We can plot these solutions on an Argand diagram by marking points at (2, 0), (-1, √3), and (-1, -√3).
c) To find all solutions to the equation z³ = i, we can use De Moivre's theorem:
z³ = i = cos(π/2) + i sin(π/2)
We can rewrite this in polar form as:
z = (cos(π/6 + 2kπ/3) + i sin(π/6 + 2kπ/3))
where k = 0, 1, 2.
Simplifying the expression for z, we get:
z = cos(kπ/3) + i sin(kπ/3)
For k = 0, we get z = 1.
For k = 1, we get z = (-1 + i√3)/2.
For k = 2, we get z = (-1 - i√3)/2.
These are the three solutions to the equation z³ = i. We can plot these solutions on an Argand diagram by marking points at (1, 0), (-1/2, √3/2), and (-1/2, -√3/2).
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If adora watched a video that's 21:58 minutes long what time will she have to start watching to finish exactly at 11:59pm
Answer:
11:37.02 pm
Step-by-step explanation:
11:59 pm - 21:58 minutes = 11:37.02 pm
Which of the following best describes the equation below? y=2/5x-12 A. neither linear nor nonlinear B. linear C. both linear and nonlinear D. nonlinear
Answer:
B. Linear
Step-by-step explanation:
Sienna has $40 to spend at the pumpkin patch each pony ride is $6
Answer:
There is no direct question on here so I'll just assume you're asking how many rides she can get on???
Step-by-step explanation:
6 x 1 = 6
6 x 2 = 12
6 x 3 = 18
6 x 4 = 24
6 x 5 = 30
6 x 6 = 36
6 x 7 = 42
So she can get on about 6 rides (once again, if thats what ur trying to ask..)
Lashonda ran three times last week. Here are the distances she ran (in kilometers).
12.29, 9.12, 19
What is the total distance Lashonda ran on these three days?
The solution is 40.41 kilometers
The total distance ran by Lashonda for 3 days in the week is 40.41 km
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the distance ran by Lashonda on the first day be = x
The value of x = 12.29 km
Let the distance ran by Lashonda on the second day be = y
The value of y = 9.12 km
Let the distance ran by Lashonda on the third day be = z
The value of z = 19 km
Now , the total distance ran by Lashonda = x + y + z
Substituting the values in the equation , we get
The total distance ran by Lashonda for 3 days in the week A = x + y + z
The total distance ran by Lashonda for 3 days in the week
A = 12.29 + 9.12 + 19
The total distance ran by Lashonda for 3 days in the week A = 40.41 km
Therefore , the value of A is 40.41 kilometers
Hence , total distance ran by Lashonda is 40.41 km
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Which equation represents a proportional relationship that has a constant of proportionality equal to 0.7?
Answer:
The usual representation of a proportional relationship is ...
y = kx
You want the constant of proportionality (k) to be 7/10, so this is ...
y = (7/10)x
Dividing by x gives the equivalent relationship ...
y/x = 7/10
What is the estimated sum of 8/19 + 6/13 ?
Answer:
1
Step-by-step explanation:
Sorry if wrong! have a wonderful day!
Answer:
b
Step-by-step explanation:
A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 46.5ft^3. What dimensions yield the minimum surface area?
a. 4.5 ft times 4.5 ft times 2.3 ft
b. 5.2 ft times 5.2 ft times 1.7 ft
c. 36 ft times 3.6 ft times 3.6 ft
d. 9.6 ft times 9.6 ft times 0.5 ft
i think its a because i estimated
find the difference between points (3,5) and (-1,5)
b'
Let the given points be A(3,-5) and B(5,-1).
AB= sqrt of (5−3) ² +(−1+5)²
= sqrt of 4+16
= sqrt of 20
=2 sqrt of 5 units
A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below. Based on these results, express the probability that the next spin will land on red as a percent to the nearest whole number.
The probability that the next spin will land on red is 7%
How to express the probability that the next spin will land on red?To express the probability that the next spin will land on red as a percent to the nearest whole number. We need to consider the number of red as proportion of the total.
From the table:
number of red = 4
total = 4 + 18 + 10 + 18 + 11 = 61
Probability that the next spin will land on red = 4/61
As percent to the nearest whole number:
Probability that the next spin will land on red = (4/61) * 100
Probability that the next spin will land on red = 7%
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Complete Question
Check attached image
Find the length of side of square ABCD when diagonal is √ cm long. Also find the perimeter and area of the square
The length of each side of the square is 16 cm, the perimeter is 64 cm, and the area is 256 cm^2.
Let's solve the problem step by step. We have a square ABCD, and we need to find the length of its sides when the diagonal is 16√2 cm long.
In a square, the diagonal forms a right triangle with the sides. The sides of a square are equal in length, so let's assume the length of one side of the square is 'x' cm.
Using the Pythagorean theorem, we can find the relationship between the side length and the diagonal:
x^2 + x^2 = (16√2)^2
2x^2 = 512
Dividing both sides by 2, we have:
x^2 = 256
Taking the square root of both sides:
x = √256
x = 16 cm
So, the length of each side of the square is 16 cm.
To find the perimeter of the square, we simply multiply the length of one side by 4 since all sides are equal:
Perimeter = 4 * 16 cm = 64 cm
To find the area of the square, we square the length of one side:
Area = (16 cm)^2 = 256 cm^2
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Note the complete question is:
Find the length of side of square ABCD when diagonal is 16√2 cm long. Also find the perimeter and area of the square?
whoever helps gets brainliest first
Answer:
a
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
this is the answer
pls give me brainliest
multiply: (2.2x10^4) • (7.1x10^3)
write your answer in scientific notation.
Answer:
Step-by-step explanation:
(2.2×10^4)*(7.1×10³)
=(2.2×7.1)×10{4+3}
=15.62×10^7
=1.562×10^8
6-8x=7x-10x-24 solve for x
Answer:
x = 6
Step-by-step explanation:
Let's solve your equation step-by-step.
6−8x=7x−10x−24
Step 1: Simplify both sides of the equation.
6−8x=7x−10x−24
6+−8x=7x+−10x+−24
−8x+6=(7x+−10x)+(−24)(Combine Like Terms)
−8x+6=−3x+−24
−8x+6=−3x−24
Step 2: Add 3x to both sides.
−8x+6+3x=−3x−24+3x
−5x+6=−24
Step 3: Subtract 6 from both sides.
−5x+6−6=−24−6
−5x=−30
Step 4: Divide both sides by -5.
−5x/-5 = -30 /-5
x=6
Un aserradero adquiere maquinaria y equipo para el corte de madera, que va perdiendo valor conforme transcurren los años, hasta que su valor contable es cero, como indica la gráfica de la función D(x)=(-x^3+2x^2+20x+20)/(x^2+4x+4) que modela esta depreciación en el eje y cada unidad son 20 000 pesos y en el eje x cada unidad es de 3 años.
a) ¿Cuál es el valor inicial del equipo y herramienta? ¿cuánto se ha depreciado al cabo de 12 años?
b) ¿existe un modelo lineal que aproxime los mismos valores que la función D(x)?
c) ¿En cuánto difieren los valores de ambas funciones al cabo de 9 años?
Answer:
-1 5
Step-by-step explanation: