Answer: To find the factor pairs for -240, we can use the following steps:
Find the prime factorization of -240: -240 = (-2) * (-2) * (-2) * (-3) * (-5)
For each prime factor, there are two possible factor pairs: (-1) and (1), and (-n) and (n). For example, for the factor -2, the possible factor pairs are (-1) and (1), and (-2) and (2).
The factor pairs for -240 are: (-1) and (1), (-2) and (2), (-3) and (3), (-5) and (5), (-6) and (6), (-10) and (10), (-15) and (15), (-30) and (30).
Thus, the factor pairs for -240 are: (-1, 1), (-2, 2), (-3, 3), (-5, 5), (-6, 6), (-10, 10), (-15, 15), and (-30, 30).
Step-by-step explanation:
find bce PLEASE AND THANKS
The unknown angle of the triangle is as follows:
∠BCE = 65 degrees
How to find the angle of a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
Therefore, the angle ∠BCE can be found as follows:
∠BAC = 70 degrees
∠ABC = 60 degrees
∠ACB = 180 - 70 - 60
∠ACB = 180 - 130
∠ACB = 50 degrees
Hence, using exterior angle theorem,
The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
∠BCD = 60 + 70 = 130 degrees
Hence,
∠BCE = 130 / 2 = 65 degrees
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can you help with this please its urgent.
1. 60% of 330 would fill 6 of the boxes.
2. 45% of 600 would fill 4 and half of the boxes.
3. 42% of 450 is 189.
4. 79% of 800 is 632.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
1. The strip has 10 boxes and totals to 330.
Now, 60% of 330 would fill 6 out of those 10 boxes.
2. The strip has 10 boxes and totals to 600.
So, 45% of it would fill 4 and a half of the boxes.
3. 42% of 450 can be numerically expressed as,
(42/100)×450.
= 189.
Similarly, 4. 79% of 800 is,
(79/100)×800.
= 632.
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Select all the correct answers. What are the solutions of this equation? x2-x-56=0
The roots of the quadratic equation x² - x - 56 = 0 is x = -7 or x = 8
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the equation be represented as A
Now , the value of A is
x² - x - 56 = 0 be equation (1)
On simplifying the equation , we get
x² - 8x + 7x - 56 = 0
Taking the common terms in the equation , we get
x ( x - 8 ) + 7 ( x - 8 ) = 0
Now , on factorizing the equation , we get
( x + 7 ) ( x - 8 ) = 0
We have two factors which can solve the equation ,
when ( x + 7 ) = 0
Subtracting 7 on both sides of the equation , we get
x = -7
And , when ( x - 8 ) = 0
Adding 8 on both sides of the equation , we get
x = 8
Therefore , the roots of the equation are x = -7 and x = 8
Hence , the quadratic equation is solved
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Answer:
x = 8
x = -7
Step-by-step explanation:
To find the solutions of the quadratic equation x^2 - x - 56 = 0, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this equation, a = 1, b = -1, and c = -56. Plug these values into the formula and calculate the discriminant (the value inside the square root):
Discriminant (D) = b^2 - 4ac = (-1)^2 - 4(1)(-56) = 1 + 224 = 225
Now, calculate the two possible solutions:
x1 = (-(-1) + √225) / (2(1)) = (1 + 15) / 2 = 16 / 2 = 8
x2 = (-(-1) - √225) / (2(1)) = (1 - 15) / 2 = -14 / 2 = -7
So, the correct solutions to the equation x^2 - x - 56 = 0 are:
x = 8 (x = 0 is not a solution)
x = -7
Can someone help me with this? I'm stressed out and its urgent.
Gross pay is $360, Health insurance is $50.40, Pension deduction is $21.60, Total deductions is $173.85 and net pay is $186.15.
What is gross Earnings?Gross pay or gross earnings is the amount of money an employer earn before all the tax and other deductions and benefits.
Employee works for 40 hours at a rate of $9.00 per hour.
Gross pay = 40 × 9 = $360
Health insurance = 14% of gross earnings
= 14% × 360
= 0.14 × 360
= $50.40
Pension deduction = 6% of gross earnings
= 0.06 × 360
= $21.60
Total deductions = $55.00 + $21.80 + $25.05 + $50.40 + $21.60
= $173.85
Net pay = Gross earnings - Total deductions
= $360 - $173.85
= $186.15
Hence the amount of gross pay is $360, and net pay is $186.15.
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Find the value of the lesser root of x squared -7x +12 =0
Answer:
3
Step-by-step explanation:
x² -7x + 12 =0
by factoring:
(x-4)(x-3) = 0
x = 4
x = 3
3<4
A=[2 3) B=(1 2) find AB
[0 8) (2 -1)
Answer: To find the product of two matrices A and B, we must use the matrix multiplication rules.
Matrix A is a 2x2 matrix with values [2 3; 4 5] and matrix B is a 2x2 matrix with values [1 2; 3 4].
The result of matrix multiplication, AB, will also be a 2x2 matrix.
To find each element in the resulting matrix, we take the dot product of the corresponding row in matrix A and column in matrix B.
The first element in the resulting matrix AB, is found by taking the dot product of the first row in matrix A and the first column in matrix B:
(21) + (33) = 2+9 = 11
The second element in the resulting matrix AB, is found by taking the dot product of the first row in matrix A and the second column in matrix B:
(22) + (34) = 4+12 = 16
The third element in the resulting matrix AB, is found by taking the dot product of the second row in matrix A and the first column in matrix B:
(41) + (53) = 4+15 = 19
The forth element in the resulting matrix AB, is found by taking the dot product of the second row in matrix A and the second column in matrix B:
(4*2)
Step-by-step explanation:
Is a function that can be graphed discrete or continuous?
Answer:
Discrete
Step-by-step explanation:
Discrete means it has ends, and continuous means it continues on forever.
Complex mathematical
A) [tex]$x+y=(1+2 \sqrt{3})+(1-\sqrt{3}) i$[/tex]
B) [tex]$y+z=(\sqrt{3}+1)-(2+\sqrt{3}) i$[/tex]
c) [tex]$y-z=(\sqrt{3}-1)-\sqrt{3} i$[/tex]
are the value of given algebraic expression.
What is Complex Number?The numbers which can be expressed in the form of [tex]$x+iy[/tex] where, [tex]$x, y$[/tex] are real numbers and 'i' is an imaginary number called "iota".
here [tex]$\mathrm{i}$[/tex] is iota whose value is: [tex]$\mathrm{i}=\sqrt{-1}[/tex]
Given .
[tex]$$\begin{aligned}& x=1+\sqrt{3}+2 i \\& y=\sqrt{3}-(1+\sqrt{3}) i \\& z=1-i\end{aligned}$$[/tex]
upon solving two complex number we solve coefficient of iota together and real number together.
A) to find [tex]$(x+y)$[/tex]
[tex]$$\begin{aligned}& x+y=(1+\sqrt{3}+2 i)+(\sqrt{3}-i-\sqrt{3} i) \\& x+y=(1+2 \sqrt{3})+(2-1-\sqrt{3}) i \\& x+y=(1+2 \sqrt{3})+(1-\sqrt{3}) i\end{aligned}[/tex]
B) [tex]$\mathbf{y}+\mathbf{z}$[/tex]
[tex]$$\begin{aligned}& y+z=(\sqrt{3}-i-\sqrt{3} i)+(1-i) \\& y+z=(\sqrt{3}+1)-(2+\sqrt{3}) i\end{aligned}[/tex]
c) [tex]$\mathbf{y}-\mathbf{z}$[/tex]
[tex]$$\begin{aligned}& y-z=(\sqrt{3}-i-\sqrt{3} i)-(1-i) \\& y-z=(\sqrt{3}-1)-\sqrt{3} i\end{aligned}[/tex]
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My question is in the pic
Answer: 7t+7
Step-by-step explanation: i know
Well, both 4t and 3t have the same variable so add them together to get 7t, then add 4 and 3 to get 7, so your fill in the blank should be 7t+7
got a prepaid debit card with $15 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 24 cents per yard. If after that purchase there was $3.48 left on the card, how many yards of ribbon did
The length of ribbon is 48 yards.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Kala got a prepaid debit card with $15.
Price of Ribbon = 24 cents per yard.
After purchase money left $3.48.
So, Price of Ribbon purchased = 15 - 3.48 = $11.52 = 1152 cents
length of ribbon = 1152/ 24
= 48 yards
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Find the missing angle measure. Round to the nearest degree. cos 0 = 0.9563
The measure of the missing angle is 17 degrees.
Cosine as an example of trigonometric functions.Trigonometry is a method that can by used to solve questions involving the application of functions. Some examples of trigonometric functions are: Sine, Cosine, Tangent, Secant, Cotangent etc.
Now considering the given question, we are to find the measure of the missing angle. We have;
cos θ = 0.9563
where θ is the missing angle the value of which is to be determined.
Thus, divide both sides of the expression by cos to have;
cos θ/ cos = 0.9563. cos
θ = cos^-1 0.9563
θ = 17.0 degrees
Therefore, the value of the missing angle is 17 degrees.
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Assuming these rates continue, how many likes does Dagogo get, on average, for each minute of video he uploads?
The average like for each minute of the video that he uploads will be 2,000 likes.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The total number of likes is calculated as,
Like / View = 1 / 5
Like / 9,000,000 = 1 / 5
Like = 1,800,000
The total number of minutes is calculated as,
Time length = (9,000,000 / 150,000) x 15
Time length = 60 x 15
Time length = 900 minutes
The average like for each minute of the video that he uploads will be given as,
⇒ 1,800,000 / 900
⇒ 2,000
The average like for each minute of the video that he uploads will be 2,000 likes.
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The complete question is given below.
Dagogo uploads 3 videos on his channel every month. Each video averages 15 minutes in length and gets an average of 150,000 new views. The average ratio of likes-to-views of Dagogo's videos is 1: 5. Dagogo wants to reach a total of 9,000,000 views on his channel.
Assuming these rates continue, how many likes does Dagogo get, on average, for each minute of the video he uploads?
Illustrate the effect that a decrease in the price of milk and input to ice cream would have on the market for ice cream
The effect that a decrease in the price of milk and input to ice cream would have on the market for ice cream is that there will be more production and demand in the market.
What is Market?This is referred to as a place where buyers and sellers can meet to facilitate the exchange or transaction of goods and services.
A decrease in the price of milk and input to ice cream means that production costs would fall, which will cause the suppliers to produce more thereby shifting the supply curve to the right with the demand for the goods being increased which is therefore the effect on the market.
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A deck of cards ..something I don't get ..Please help
=======================================================
Explanation:
I'm assuming your teacher meant to say "same number or letter" instead of "same number of letter" at the very end of the problem.
The best case scenario is that the person selecting the cards is very lucky to select say a king of hearts and king of clubs. This shows that 2 cards is the lowest amount of cards to select here.
----------
Of course, such a scenario is not that likely. That person is likely to get some other card compared to the 1st selection.
Let's assume the person selecting the cards has the worst luck possible. This means they select each card 1,2,3,...,10,J,Q,K exactly once in any order. If this happens, then the person does not have any pairs just yet. The person has selected 13 cards so far with this worst case scenario.
The 14th card is guaranteed to pair up with some other card previously chosen. There simply aren't any other options left once you've exhausted all possibilities. See the pigeonhole principle for more information.
So this is why you would need to select 14 cards to guarantee having at least two pair up together (i.e. you would have 2 or more pairs).
Find the missing measure. Round to the nearest tenth (first decimal place)
15
26°
x
The missing measure of the given right-angled triangle is: x = 2.5
How to find the measure?Given a right-angled triangle, with one of its angle as 14° ,assume
angle y= 14°. Also given length of one of it's side is 18. Let's assume the side as z = 18.
As it is given it's a right-angled triangle,
∴ By using trigonometric formula,
tan y = opposite /adjacent
∴ tan 14° = z/x
tan 14° = 18/x
7.24 = 18/x ......( as tan 14°= 7.24)
∴ x = 2.48
∴ x ≈ 2.5
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The solution set of 12 x squared minus 14 x equals 10 is
The given quadratic equation has two possible roots as -
{x} = -1/2 and {x} = 1.667.
What is a quadratic equation?A quadratic equation is a equation that is of the form -
y = f{x} = ax² + bx + c
Given is the statement as -
"12 x squared minus 14 x equals 10"
The given function can be written as -
f(x) = 12x² - 14x - 10
Refer to the graph attached. The x - intercepts show the solution of the given quadratic equation. So, we can write -
(x + 1/2)(x - 1.667) = 0
(x + 1/2) = 0 and (x - 1.667) = 0
x = -1/2 and x = 1.667
Therefore, the given quadratic equation has two possible roots as -
{x} = -1/2 and {x} = 1.667.
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During a fundraiser, Kate wants to sell the same number of $5 candy bars as $2 candy bars. The expression that represents how much money Kate will collect is . Identify any variables, constants, and coefficients and explain what they mean in terms of the expression representing this scenario.
The expression that represents how much money Kate will collect
is y = 5x + 2x.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Given, During a fundraiser, Kate wants to sell the same number of $5 candy bars as $2 candy bars.
Let, The number of candies she sold be 'x' and the total cost of the candies be 'y'.
Therefore, The phrase that describes the amount of money Kate will bring in is y = 5x + 2x.
y = 7x.
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Solve ^4√5x - 4 =1
A) x = 625
B) x = 81∕5
C) x = 25
D) x = 125
x=125
...............
What property is,If 5x=25,then x=5
Answer:
can you just give me the brainliest.
the answer is in the attached document
Step-by-step explanation:
A model of a volcano has a scale of 2.5 inches to 1.000 feet. If the model is 18 inches high, find
the height of the volcano. (1ft = 12in)
Pls help me solve this!!!
Answer:
To solve this problem, we can set up the following equation:
2.5 inches = 1,000 feet
We are told that the model is 18 inches high, so we can write the following equation:
18 inches = X feet
To solve for X, we can cross-multiply the equations to get:
(2.5 inches)X = (1,000 feet)(18 inches)
Simplifying this equation, we get:
X = 4,500 feet
Therefore, the height of the volcano is 4,500 feet.
Step-by-step explanation:
Fill in the blank. In the triangle below, y=__________. Round your answer to two
decimal places.
ZD
y
Answer here
42°
35
I really need help on this asap
Answer:
well, both the domain, and the range can have a positive and/or negative infinity, but as long as the 2nd factor is an opposite symbol then you will have a correct answer, for instance, -infinity, and 2 could work, but if the 2 was negative then there would be a problem
Step-by-step explanation:
Please help! Ubehebe crater in death Valley has a diameter of a little more than 1/2 a mile. If Latisha walks around its rim at a rate of 2 mph, about how long will it take her to walk all the way around the crater? Round your answer to the nearest tenth. Use 3.14 for pi.
The time required for Latisha to walk around the rim at a rate of 2 mph is 0.235 hours.
What is speed?Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.
here,
Ubehebe crater in Death Valley has a diameter of a little more than 1/2 a mile.
Circumference of the rim,
= πD
= 3.14 × 1/2
= 1.57 mile
Time = Distance/speed
Time = 1.57 / 2
Time = 0.785 hours
Thus, the time required for Latisha to walk around the rim at a rate of 2 mph is 0.235 hours.
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Express as a single fraction and find the domain
A single fraction will be;
⇒ 1/(y + 12)
And, Domain of this expression is,
⇒ Domain = (-∞, ∞) - { 12 }
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
Given that;
The expression is,
⇒ 4 / (y + 2) - 3 / (y - 2) + 12/ (y² - 4)
Now,
Since, The expression is,
⇒ 4 / (y + 2) - 3 / (y - 2) + 12/ (y² - 4)
Simplify the expression as;
⇒ 4 (y - 2) - 3 (y + 2) / (y-2) (y+2) + 12 / (y² - 4)
⇒ 4y - 8 - 3y - 6 / (y² - 4) + 12 / (y² - 4)
⇒ (y - 14) / (y² - 4) + 12 / (y² - 4)
⇒ (y - 14 + 12) / (y² - 4)
⇒ (y - 12) / (y- 12) (y + 12)
⇒ 1/(y + 12)
Hence, A single fraction will be;
⇒ 1/(y + 12)
And, Domain of this expression is,
⇒ Domain = (-∞, ∞) - { 12 }
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If you need to measure the length of a run of pipe from a house to the water main on the street using metric system, which of the following units would you likely use? A. Centimeters, B. Kilometers, C. Metics D. Millimeters
Answer:
C. meters
Step-by-step explanation:
A family has a budget of $400 to spend on groceries each month.
A music store sells about 50 of a new model of drum per month at a price of $120 each. For each $5 decrease in price, about 4 more drums per month are sold. What prices of the drum will reach over $6500? And write the equation to this inequality?
The prices of the drum that will reach over $6500 are between $3 and $8
And the inequality expression is (50 + 4x) (120 - 5x) > 6500
What prices of the drum will reach over $6500?From the question, we have the following parameters that can be used in our computation:
Number of models = 50
Initial price = $120
Also from the question, we have:
Decrease in price by $5Increase in the number of drums by 4So, we have
Models = 50 + 4x
Price = 120 - 5x
This means that the revenue function is
R(x) = (50 + 4x) * (120 - 5x)
When the price reaches over $6500, we have
(50 + 4x) * (120 - 5x) > 6500
Using a graphing calculator, we have
2.911 <x < 8.5
Approximate
3 ≤ x ≤ 8
Hence, the model reaches $6500 between 3 and 8
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What is the following sum?
Answer:
The 4th one
Step-by-step explanation:
Right on edge!
$576.188 rounded to the nearest hundredth I see
Answer:
$576.19
Step-by-step explanation:
If m∠A = 29°, m∠B = 84°, and c = 14, what are the measures of the remaining sides and angle?
Answer:
m∠C = 67°, a = 7.37, b = 15.13
Step-by-step explanation:
There are 180° in a triangle. We know two angles in the triangle, so we can calculate the third angle.
Since this is not a right triangle, we will use the Law of Sines.
SinA/a = SinB/b = SinC/c
see image.