Answer:
55°
Step-by-step explanation:
m∠D = m∠A + m∠B since for a triangle, the exterior angle = sum of interior angles
We can rewrite this as
m∠A + m∠B = m∠D
Given m∠A = (2x)° , m∠B = (3x + 41)° and m∠D = 124° and substituting in the above equation,
2x + (x + 41.5) = 124
2x + x + 41.5 = 124
3x + 41.5 = 124
3x = 124 - 41.5 = 82.5
x = 82.5/3 = 27.5
But m∠A = (2x) = 2 x 27.5 = 55°
Please pls help asap!
Answer:
30x+15y
Step-by-step explanation:
5(6x+3y)
5*6x+5*3y
30x+15y
Answer:
the first one
Step-by-step explanation:
because the 5 is outside of the parenthesis you have to multiply not add
5*6x=30x and 5*3y=15y
Move each fraction to a box to make each comparison true.
Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66 + 36. His work is shown below.
Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
66 + 36 = 3 (22 + 12)
What statement best describes Gary’s error?
Gary did not use correct factors for 66 in the equation.
Gary did not use correct factors for 36 in the equation.
Gary did not use two equivalent expressions in the equation.
Gary did not use the greatest common factor in the equation.
Answer:
Gary did not use the greatest common factor in the expression.
Step-by-step explanation:
Both factors of 36 and 66 are correct.
Gary also used equivalent expressions. I hope this helps.
Answer: Gary did not use the greatest common factor in the equation.
Step-by-step explanation: Gary did not use the Greatest common factor because the greatest common factor would be 33
Let x and y be positive integers and x greater then y
Answer:
anyone can be greater not only x it depends upon the value of x ,yStep-by-step explanation:
What is the value of 1/7 x 1/7x1/7?
Answer: 1/343
Step-by-step explanation:
To multiply fractions, combine the numerators and denominators and simplify as shown below.
1/7 x 1/7 x 1/7 can be rewritten as:
(1x1x1)/(7x7x7)
Simplifying the numerator and denominator in the new equation, the result is 1/343.
Thus, 1/7 x 1/7 x 1/7 = 1/343.
I hope this helps!
Which inequality is true when the value of n is 12?
Answer:
If both sides of an inequality are multiplied or divided by the same positive value, the resulting inequality is true.
Step-by-step explanation:
The inequality is true when the value of n is 12 would be; n ≤ 12.
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
We are given that the value of n is 12.
Then the inequality would be;
n ≤ 12
If both sides of an inequality are multiplied or divided by the same positive value, then the resulting inequality is true.
Therefore, the inequality is true when the value of n is 12 would be; n ≤ 12.
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Wha happens when a solid is dissolved into a liquid?
Answer:
the correct answer is
Step-by-step explanation:
When a solid dissolves the solid (solute) and the liquid (solvent) form a very close intimate mixture called a solution. ... If a solid dissolves on mixing its particles break apart and form a loose association with the liquid (solvent) particles.
hope this helps u!!!!
Suppose that a scarf company estimates that its monthly cost is
C(a)=500x2 + 300 and its monthly revenue is
R(x) = -0.523 +6002-200+300, where x is in thousands of
scarves sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?
The profit function is P(x) = -500.523x^2 + 600x - 200.
To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).
Given:
Cost function: C(a) = 500x^2 + 300
Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300
Profit function, P(x), is obtained by subtracting the cost function from the revenue function:
P(x) = R(x) - C(a)
P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)
Simplifying the expression:
P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300
P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300
P(x) = -500x^2 - 0.523x^2 + 600x - 200
Combining like terms:
P(x) = (-500 - 0.523)x^2 + 600x - 200
Simplifying further:
P(x) = -500.523x^2 + 600x - 200
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FUNCTIONS HW HELP NEEDED
a) The equation for Bueller's height above the ground as a function of time is: h(t) = 9 cos(πt/8) + 1.5
b) When Bueller has been on the ride for 1 minute and 30 seconds, his height above the ground is approximately 10.5 m.
What is a function?In mathematics, a function is a rule that assigns a unique output value to each input value in a specified set. More precisely, a function is a set of ordered pairs (x, y) where each x-value (the input) corresponds to exactly one y-value (the output).
In mathematics, an equation is a statement that asserts the equality of two expressions, typically containing one or more variables. An equation consists of two sides, the left-hand side, and the right-hand side, separated by an equal sign (=).
According to the given information,
a) To determine an equation for Bueller's height above the ground as a function of time, we can use the equation for the height of a point on a Ferris wheel:
h(t) = r cos(ωt) + h0
where:
1) h(t) is the height of the point above the ground at time t
2) r is the radius of the Ferris wheel
3) ω is the angular velocity of the Ferris wheel (in radians per second)
4) t is the time elapsed since the point was at its lowest position
5) h0 is the initial height of the point above the ground
In this case, we know that Bueller boards the Ferris wheel at a height of 1.5 m off the ground, so h0 = 1.5 m. The radius of the Ferris wheel is 9 m, and it rotates once every 16 seconds, so the angular velocity is:
ω = 2π / T = 2π / 16 = π / 8 radians per second
Therefore, the equation for Bueller's height above the ground as a function of time is:
h(t) = 9 cos(πt/8) + 1.5
b) To find Bueller's height off the ground when he has been on the ride for 1 minute and 30 seconds (or 90 seconds), we can substitute t = 90 into the equation for h(t):
h(90) = 9 cos(π(90)/8) + 1.5
h(90) = 9 cos(11.25π) + 1.5
Using a calculator, we get:
h(90) ≈ -6.3 m
Note that the negative sign means that Bueller is below ground level, which is not physically possible. This occurs because we started counting time from the bottom of the wheel, so 90 seconds corresponds to the bottom position plus 5 and a half rotations. To fix this, we can add a multiple of the period T = 16 seconds to t to bring it back to the correct range:
h(t) = 9 cos(πt/8) + 1.5
h(90 + 5T/2) = 9 cos(π(90 + 5T/2)/8) + 1.5
h(90 + 5T/2) = 9 cos(π(2 + 5/16)) + 1.5
h(90 + 5T/2) ≈ 10.5 m
Therefore, when Bueller has been on the ride for 1 minute and 30 seconds, his height above the ground is approximately 10.5 m.
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Find equation of the line shown
The equation of the line is y = x + 6
How to detemrine the equatiin of the lineFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have the following highlights
The graph intersect the y-axis at y = 6
This means that the intercept c is 6
Also, as x changes by 1, the y values changes by 1
This mean sthat the slope is 1
So, we have
y = mx + c
This gives
y = x + 6
Hence, the equation is y = x + 6
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The linear equation on the graph can be written as:
y = (3/2)*x + 6
How to find the equation in the graph?A general linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If the line passes through two points (x₁, y₁), then the slope will be:
a = (y₂ - y₁)/(x₂ - x₁)
In this case we can see the points (0, 6) (so the y-intercept is b = 6) and (4, 10)
Then the slope will be:
a = (10 - 6)/(4 - 0) = 6/4 = 3/2
Then the linaer equation is:
y = (3/2)*x + 6
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In 1995, the price of a laser printer was 1,299. In 2002, the price of the same type of printer had dropped to 499. Find the percent of decrease
Answer:
b
Step-by-step explanation:
Solve for x:
—2 (4x – 7) = -3x + 10 – 5x
Show your work
Hurryyy
Fastt
-2 (4x – 7) = -3x + 10 - 5x
-8x + 14 = -8x + 10
0x = -4
Hope this helps! :)
A company pays $20 per hour for up to 5 hours of work, and $30 per hour for overtime hours (hours beyond 5). If x is the total hours worked, and more than 5 hours have been worked, what is the expression for just the overtime hours worked?
Answer: 30(x-5)
Explanation:
x - 5 is the overtime hours$30 per overtime hours,
30*(x-5)
Find the degree of the polynomial – 3x + x² +3.
Answer:
Step-by-step explanation:
Degree means highest exponent. got it?
The radius of the base of a cylinder is expanding at a constant rate of 3 mm/min. If the height of
the cylinder is a constant 20 mm, find the rate at which the VOLUME of the cylinder is changing at the
moment when the radius of the base of the cylinder is 10 mm. Also find the rate at which the SURFACE
AREA of the cylinder is changing at this same moment.
(V = r²h, SA=2лrh+2rr²)
I’m getting 1800pi mm^3/min for volume and 360pi mm^2/min for surface area but I’m not sure if it’s correct
The rate at which the volume of the cylinder is changing is 600 mm^3/min, and the rate at which the surface area is changing is 240π mm^2/min.
To find the rate at which the volume and surface area of the cylinder are changing, we can use the given formulas for volume and surface area and differentiate them with respect to time. Let's calculate the rates at the moment when the radius of the base is 10 mm.
Given:
Radius rate of change: dr/dt = 3 mm/min
Height: h = 20 mm
Radius: r = 10 mm
Volume of the cylinder (V) = \(r^2h\)
Differentiating with respect to time (t), we have:
dV/dt = 2rh(dr/dt) + \(r^2\)(dh/dt)
Since the height of the cylinder is constant, dh/dt = 0.
Substituting the given values:
dV/dt = 2(10)(20)(3) + (10^2)(0)
dV/dt = 600 + 0
dV/dt = 600 mm^3/min
Therefore, the rate at which the volume of the cylinder is changing at the given moment is 600 mm^3/min.
Surface area of the cylinder (SA) = 2πrh + 2π\(r^2\)
Differentiating with respect to time (t), we have:
dSA/dt = 2πr(dh/dt) + 2πh(dr/dt) + 4πr(dr/dt)
Again, since the height of the cylinder is constant, dh/dt = 0.
Substituting the given values:
dSA/dt = 2π(10)(0) + 2π(20)(3) + 4π(10)(3)
dSA/dt = 0 + 120π + 120π
dSA/dt = 240π mm^2/min
Therefore, the rate at which the surface area of the cylinder is changing at the given moment is 240π mm^2/min.
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How long does it take an account with a principal of $500 to earn $75 in interest at a simple annual interest rate of 3%?
Answer:
about 5 years
Step-by-step explanation:
year 1)500*0.03= 15
year 2)515*0.03= 15.45+515=530.45
year 3)530.45*0.03= 15.91+530.45=546.36
year 4)546.36*0.03=16.39+546.36=562.75
year 5)562.75*0.03=16.88+562.75=579.63
Simplify
-15p+23p
Pls help
What is the slope of a line that is perpendicular to the x-axis?
A.)undefined
B.)0
C.)1
D.)-1
Answer:
I think its -1
Step-by-step explanation:
NAFTA was important to North America countries because it ________. A. Broke down trade barriers
B. established a military alliance
C. Promoted alternative energy sources
D Provided free healthcare for all people
Please give me the right answer for 33 points.
Answer:
A. broke down trade barriers
a. Write an equation to represent the hanger.
b. Explain how to reason with the hanger to find the value of x.
c. Explain how to reason with the equation to find the value of x
The imagine is show in the photo
(a). The equation that represents the hanger is 2x = 14.62.
(b). x = 14.62/2
(c). x = 7.31.
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
Given:
The hanger rests at the equilibrium position.
(a). The equation that represents the hanger is 2x = 14.62.
(b). To find the value of x:
Divide by 2,
x = 14.62/2
(c). x = 7.31.
Hence, all the values are given above.
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Roger has a credit card with an APR of 19.40% and a billing cycle of 30 days. The following table shows his transactions with that credit card in the month of June.
Date
Amount ($)
Transaction
6/1
265.40
Beginning balance
6/6
90.00
Payment
6/16
43.33
Purchase
6/22
37.71
Purchase
If Roger’s finance charge for June is $3.56, which method of calculating the finance charge does Roger’s credit card company use?
a.
daily balance method
b.
adjusted balance method
c.
previous balance method
d.
there is not enough information to determine which method was used
Answer:
I got A and it was right
Step-by-step explanation:
The "Previous Balance Method" seems to be the one that aligns with the provided information.
Given that:
Beginning balance on 6/1: $265.40
Payment on 6/6: $90.00
Purchase on 6/16: $43.33
Purchase on 6/22: $37.71
They have also given the finance charge for June, which is $3.56.
The different methods according to the options are:
a. Daily Balance Method: This method calculates the finance charge based on the daily balance throughout the billing cycle. It takes into account daily changes in the balance due to transactions and payments.
b. Adjusted Balance Method: This method calculates the finance charge based on the adjusted balance at the end of the billing cycle. The adjusted balance is the beginning balance minus any payments made during the billing cycle.
c. Previous Balance Method: This method calculates the finance charge based on the previous month's balance, regardless of any payments made during the current billing cycle.
Based on the given information, we don't have the exact daily balances or the specific date of the finance charge calculation. However, we know the finance charge for the entire month of June is $3.56.
Out of the three methods, the "Previous Balance Method" seems to be the one that aligns with the provided information. It calculates the finance charge based on the previous month's balance, which would include the beginning balance on 6/1 and any outstanding balance from previous months.
So the correct answer is option C, Previous Balance Method.
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students were asked to choose a city if 4/7 of them chose new york and 1/7 chose los angeles what fraction chose either new york or los angles
Answer: 5/7 of the kids chose New York or L.A.
Step-by-step explanation:
All you need to do in this problem is add the fraction of people that chose New York and the fraction of people that chose L.A:
4/7 + 1/7 = 5/7
Which of the following illustrates the truth value of the following conditional?
p: 7 + 1 = 0
q: 2 + 2 = 5
F F → T
T T → T
F T → F
T F → T
The truth table for implication of the equations is F F ⇒ T
What is a truth table?A truth table is a mathematical logic table that shows the truth values of different logic statements combined by a given logic rule.
Analysis:
P: 7 +1 is not equal to 0 making P to be false(F)
q: 2+2 is not equal to 5 making q to be false(F)
so for conditional or implication, F F⇒ T
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Points A (4, 3), B (6, 4), C (5, 6) and D (3, 5) are the vertices of a square ABCD. The square ABCD is reflected about the line through (0, 0) and (-2, 2). Find the vertices of the image of the square ABCD and present both the figures on the same graph.
The vertices of the reflected square.
Let's calculate them:
A' = (-0.914, 3.914)
B' = (-2.828, 5.828)
C' = (-0.086, 7.086)
D' = (1.828, 5.172)
The vertices of the image of the square ABCD after reflecting it about the line through (0, 0) and (-2, 2), we can use the following steps:
Find the equation of the reflection line:
The reflection line passes through (0, 0) and (-2, 2).
We can calculate the slope (m) of the line using the formula (y2 - y1) / (x2 - x1):
m = (2 - 0) / (-2 - 0) = 2 / -2 = -1.
Using the point-slope form of a line (y - y1) = m(x - x1), we can use either of the given points to write the equation of the line:
y - 0 = -1(x - 0)
y = -x.
Find the midpoint of each side of the square:
The midpoints of the sides of a square are also the midpoints of its diagonals.
The midpoint of AB is ((4+6)/2, (3+4)/2) = (5, 3.5).
The midpoint of BC is ((6+5)/2, (4+6)/2) = (5.5, 5).
The midpoint of CD is ((5+3)/2, (6+5)/2) = (4, 5.5).
The midpoint of DA is ((3+4)/2, (5+3)/2) = (3.5, 4).
Reflect the midpoints about the line:
To reflect a point (x, y) about the line y = -x, we can find the perpendicular distance (d) from the point to the line and use it to determine the reflected point.
The perpendicular distance d from the line y = -x to a point (x, y) is given by the formula:
d = (y + x) / √(2).
The coordinates of the reflected points can be found using the formula for reflection across a line:
x' = x - 2d / √(2)
y' = y - 2d / √(2).
Calculate the reflected vertices:
The coordinates of the reflected vertices are as follows:
A' = (4 - 2(3.5 + 5) / √(2), 3 - 2(3.5 - 5) / √(2))
B' = (6 - 2(5 + 5) / √(2), 4 - 2(5 - 5) / √(2))
C' = (5 - 2(5.5 + 5) / √(2), 6 - 2(5.5 - 5) / √(2))
D' = (3 - 2(4 + 5) / √(2), 5 - 2(4 - 5) / √(2))
Now we can plot the original square ABCD and its image A'B'C'D' on the same graph to visualize the reflection.
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Verbs are words that?
Answer: Verbs are words that describe an action
Step-by-step explanation:
Examples:
She was running at the park.
He swam in the ocean.
The plane flew past my house.
Verbs are words that a word used to describe an action, state, or occurrence, and forming the main part of the predicate of a sentence, such as hear, become, happen. A sentence of a Vern inside it is, “You were a great singer!” See, in this sentence the verb would be were since it was describing an action.
Classify angle ABC on side length and angles measure
Answer:
isosceles, acute
Step-by-step explanation:
isosceles because there are two equal sides and acute because none of the angles is greater than 90 degrees
The Circle Chart shows the results of a student survey in which 211 students were asked their favorite flavor of ice cream. Favorite ice-cream flavors 12% 12% Vanilla Chocolate 17% 17% Cookies and Cream Strawberry 6% Coffee O Choc Ripple 36% What is the most popular flavor?
Using percentages we know that the coffee choc Ripple is the most popular flavor with 36% of people liking it.
What is the percentage?A % is a quantity or ratio that, in mathematics, represents a portion of one hundred.
There are several different ways to depict a dimensionless connection between two numbers, including ratios, fractions, and decimals.
To represent percentages, the symbol "%" is typically written after the number.
So, we know that:
Vanilla = 12%
Chocolate = 17%
Cookies and cream strawberry = 6%
Coffee and Choc Ripple = 36%
Since the flavor of coffee and choc Ripple is liked by 36% of the people. Hence, it is the most popular flavor.
Therefore, using percentages we know that the coffee choc Ripple is the most popular flavor with 36% of people liking it.
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Answer:
C
Step-by-step explanation:
Which shows the best estimate of the quotient of 4,346 ÷ 82?
between 50 and 60
between 60 and 70
between 500 and 600
between 600 and 700
Answer:
Between 50 and 60
Step-by-step explanation:
4,346/82 is 53 which is between 50 and 60.
Hope this helps!
Help pls I’ll give brainliest to whoever replies first and to whoever replies accurately
Determine if the equation is parallel, perpendicular, or neither y = -4 and y = 7