Solve the following inequality:
ALGEBRA 1

Answer:

Step-by-step explanation:

Cube

Answer: the answer is cube

Answer:

Step-by-step explanation:

148 people

Answer:

\(\huge\boxed{\sf 18^{-3}}\)

Step-by-step explanation:

\(\displaystyle \frac{18^4}{18^7}\)

So, the expression becomes:

= \(18 ^{4-7}\)

= \(18^{-3}\)

\(\rule[225]{225}{2}\)

Answer:

SPANISH TALK ENGLISH OK

Step-by-step explanation:

OKKK

Explanation

We are given the expression below:

We are required to rewrite the expression without a negative exponent.

This can be achieved thus:

Hence, the answer is a⁴.

Answer:

87

Step-by-step explanation:

Hope this helps! Pls give brainliest!

The discontinuity of the function is removed and the value of the function at 1 after removing the discontinuity is 8.

What is meant by a discontinuity in a function?

In algebra, a discontinuous function is one that has a point at which the function is not defined, at which the left-hand limit and right-hand limit are equal but not equal to the value of the function at that point, or at which the limit of the function does not exist. If a function in algebra is not continuous, it is referred to as a discontinuous function. A discontinuous function has a discontinuous curve, just like a continuous function does.

Given f(x) = 2x²+4x-6 / (x-1)  

This function has a  discontinuity at 1 because when we substitute x =1, the denominator becomes 0 and the function becomes undefined.

But this discontinuity is removable and can be done as shown:

We can factorize the numerator as below:

2x²+4x-6 = 2x²+6x - 2x -6 = 2x(x+3) -2(x+3) = (2x - 2)(x+3) = 2(x-1)(x+3)

Now when we substitute the factorized form of the numerator in the function. Then,

f(x) =  2(x-1)(x+3) / (x-1)

(x-1) can be cancelled from both the numerator and denominator. So the discontinuity is removed.

f(x) = 2(x+3)

Now f(1) = 2 * (1+3) = 8

Now the function is continuous at 1.

Therefore the value of the function at 1 after removing the discontinuity is 8.

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Answer:

Line 3

Step-by-step explanation:

→ Calculate gradient

\(\frac{6-3}{4-2} =1.5\)

Answer:

Line 3

Step-by-step explanation:

(0,0) & ( 4 , 6)

\(Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{6-0}{4-0}\\\\=\frac{6}{4}\\\\=\frac{3}{2}\\\\=1\frac{1}{2}\)

By using the fact that the sum of the interior angles must be 180°, we wil see that:

x = 110°.

First, remember that the sum of the interior angles of a triangle is alway equal to 180°.

We also can see that the interior angle that is adjacent to x can be written as:

a = 180° - x

Then the sum of the interior angles will give:

30° + 80° + (180° - x) = 180°

30° + 80° - x = 0

110° - x = 0

110° = x

That is the value of x.

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Answer: We can start by labeling the lengths of the sides of the triangles as follows:

Let x be the length of OQ, y be the length of PQ, and z be the length of OP.

Then we have:

Triangle OPQ:

PQ = y

OP = z

OQ = sqrt(y^2 + z^2)

Triangle OPR (similar to OPQ):

PR = y

OR = 2z

OP = z

Triangle OQS (similar to OPQ):

QS = sqrt(y^2 + 4z^2)

OS = 2z

OQ = sqrt(y^2 + z^2)

Now, we can use the tangent function to find tan(POQ):

tan(POQ) = (OR + QS) / PQ

= (2z + sqrt(y^2 + 4z^2)) / y

We can simplify the expressions given in the answer choices and see which ones are equal to this:

3/4 = 0.75

3+6/4+4 = 1.5

3+6+9/4+4+4 = 2.5

6/4+4 = 2.5

6+9/4+4+4 = 4.25

So, the only two expressions that are equal to tan(POQ) are:

3/4

6/4+4 = 6/8+2 = 0.75+2 = 2.75

Therefore, the answer is:

3/4

6/4+4 = 2.75

Step-by-step explanation:

Answer:

In order to answer this you would need to use this equation: A = πr² (See explanation)

Step-by-step explanation:

So, The circumference of the circle is 65n?

What you need to do is A = πr²

Let's divide 65n by Pi (65/3.14)

That equals 20.70n

Now we have the diameter of the circle. We need the radius for A = πr² .

We need to divide the diameter by two (20.70/2)

We now have the radius of the circle: 10.35n

Now we need to plug 10.35n in our Area equation :A = π10.35²

So now we multiply the Radius by Pi (π * 10.35)

This means that the area of our circle is: A = 32.49

Your answer Is 32.49n

Answer:

Step-by-step explanation:

a) The number of people showing up at the bar during any given minute is a Poisson process with an average rate of 1 person per minute. Let X be the number of people who show up during a random minute. Then X follows a Poisson distribution with parameter λ = 1. The probability of at least 3 people showing up in a random minute is:

P(X >= 3) = 1 - P(X < 3) = 1 - (P(X = 0) + P(X = 1) + P(X = 2))

We can use the Poisson probability mass function to find P(X = k) for k = 0, 1, 2:

P(X = k) = (e^-λ) * (λ^k) / k!

Plugging in λ = 1, we get:

P(X = 0) = e^-1 / 0! = 1/e

P(X = 1) = e^-1 * 1^1 / 1! = 1/e

P(X = 2) = e^-1 * 1^2 / 2! = 1/2e

So, the probability of at least 3 people showing up in a random minute is:

P(X >= 3) = 1 - (P(X = 0) + P(X = 1) + P(X = 2)) = 1 - (1/e + 1/e + 1/2e) = 1 - (2/e + 1/2e) = 1 - (5/2e)

b) The probability of having to wait at least 3 minutes for the next person to show up is equal to the probability of having 0, 1, or 2 people show up during the first three minutes. Using the same calculation as above, we find:

P(X <= 2) = P(X = 0) + P(X = 1) + P(X = 2) = (1/e) + (1/e) + (1/2e) = (2/e + 1/2e) = (5/2e)

So, the probability of having to wait at least 3 minutes for the next person to show up is 1 - (5/2e) = 1 - P(X <= 2).

c) If he has already waited for 1 minute, the probability of having to wait at least 3 more minutes for the next person to show up is equal to the probability of having 0 or 1 people show up during the next 2 minutes. Using the same calculation as above, we find:

P(X <= 1) = P(X = 0) + P(X = 1) = (1/e) + (1/e) = 2/e

So, the probability of having to wait at least 3 more minutes for the next person to show up is 1 - (2/e) = 1 - P(X <= 1).

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Answer:

25 degrees

Step-by-step explanation:

The total angle sum of a triangle is 180 degrees

since the two sides are equal...

(x) + (x) + (4x + 30) = 6x + 30 = 180

==> x = 25 degrees

To solve for k, we first take the derivative of the differential equation to obtain:

ky'' - y' = 1

Then we substitute y = 0 and y' = 1 when x = 1, giving us:

k(1) - (1) = 1

k = 2

Therefore, the value of k that satisfies the given conditions is k = 2.

Answer:

t = 1.195pounds.

Step-by-step explanation:

The cost per pound of Turkey and Ham are: 1.195pounds and 1.733pounds respectively.

By observing the question, we must notice this is a word problem and can be written mathematically thus;

For Casey:

15.4t + 11.6h = 38.51

For Jane:

10.2t + 7.3h = 24.84

Therefore, to find the cost per pound of Turkey and Ham, the pair of equations need to be solved simultaneously.

Therefore, we can make t the subject of the formula in equation (2) as follows;

t = (24.84 - 7.3h)/10.2

Therefore, we can substitute the value of t into equation (1) to get;

15.4{(24.84 - 7.3h)/10.2} + 11.6h = 38.51

37.51 - 11.023h + 11.6h = 38.51

0.577h = 1

h = 1.733pounds

Therefore, by substituting the value of h into equation 1, we get the value of t to be;

t = 1.195pounds.

Answer: 15

Step-by-step explanation:

m-5=10

m-5+5=10+5

m=15

Answer:

The answer is below

Step-by-step explanation:

A rectangle is a quadrilateral (four sides) with two pairs of equal opposite and parallel sides. All the four angles in a rectangle are equal to 90° (right angle). The diagonals of a rectangle are equal and bisect each other.

The area of a rectangle = length * breadth

a) Area = length * breadth = 8 cm * 3 cm = 24 cm²

b)  Area = length * breadth = 5.2 cm * 7.7 cm = 40.04 cm²

Answer:

Easy! Abu solved 100 multiplication problems more than division problems

Step-by-step explanation: Just take 231 - 131 = 100 :D

Answer:

x = 13

Step-by-step explanation:

3x = 6x - 39 solve for x

Answer: D                                                                                                                   Step-by-step explanation:  

Answer:

Step-by-step explanation:

67

Alijah's taxable income puts him in the first tax bracket, over $8,350 but not surpassing $33,950. Hence, his tax due is a base of $835 plus 15% of the income that exceeds $8,350. This results in a total tax payable of $850. Option B is the correct answer.

Alijah's taxable income falls within the first bracket of the tax table given, being over $8,350 but not over $33,950.

This bracket requires him to pay a tax of $835.00 plus 15% of the amount over $8,350.

He has a surplus of $100 over the $8,350 threshold (i.e., $8,450 - $8,350), and 15% of $100 equals $15.

Therefore, the total tax he owes would be the fixed amount of $835.00 plus the $15.00 calculated, which sums up to $850.00.

Thus, looking at the provided options, option B ($850.00) would be the correct answer.

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Answer:

$0.15

Step-by-step explanation:

To solve this problem, we apply the Range rule for estimating Standard deviation.

By the Range Rule:

Standard Deviation

Highest weekly average price for gasoline= $3.15 per gallon.

Lowest weekly average price for gasoline =$2.56 per gallon.

Therefore:

\(\text{Standard Deviation}\approx \dfrac{3.15-2.56}{4} \\=\dfrac{0.59}{4} \\\\=\$0.15 $(correct to the nearest cent).\)

The standard deviation of the weekly average price for gasoline is approximately $0.15.

NOTE: You divide by 4 not 6.

The answer is C: (-3,-1)

To test if points satisfy an equation, all you need to do is test the numbers in both of the equations it provides you

Here is proof the answer is C :

y > x - 2

(lets plug in point C)

-1 > -3 - 2

solve

-1 > -5 ?

Yes this statement is true- onto the next inequalitity!

y > 2x + 2

-1 > 2(-3) + 2

solve

-1 > -6 + 2

-1 > -4 ?

Yes, this inequality is true too!

Know we know answer c (-3,-1) is the right answer!

The point (x,y) satisfies the given system of inequalities is C. (-3,-1).

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.

Given that The graph below represents the following system of inequalities.

y> - 2

y > 21 + 2

So, y > x - 2

Lets plug in point C;

-1 > -3 - 2

solve;

-1 > -5 ?

Yes this statement is true- onto the next inequalitity.

y > 2x + 2

-1 > 2(-3) + 2

solve;

-1 > -6 + 2

-1 > -4 ?

Yes, this inequality is true too!

Therefore, the point (x,y) satisfies the given system of inequalities is C. (-3,-1).

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The value of 3¾ft in yards would be = 1 6/25 yard

A mixed number is the type of number that is made up of three parts such as the whole number, a numerator and a denominator.

To convert to yards;

1 ft = 0.33 yard

3¾ = X yards

make x yards the subject of formula;

X yards = 3¾ × 0.33

X yards = 3.75×0.33

X yards = 1.24 yards

X yards in mixed number= 124/100 = 31/25 = 1 6/25 yard.

Note that the final value which is 124/100 is reduce to the lower figure by dividing through with 4 to arrive at the mixed number 1⁶/25

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If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.

X = 7

Y = 10

If there are N packages (N ≥ 2) and the total value of them is $2021

X + Y = One packages

N packages = N(X + Y ) = 10 N

if each of X, Y, and N are positive integers, then;

10 N = 2021

N = 2021/10

N = 202.1

Therefore, X+Y+N = 10 + 202.1 = 212.1

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Humanity would achieve a life expectancy of 110 years in approximately 60 years.

To calculate the number of years it would take for humanity to achieve a life expectancy of 110 years, we need to determine the number of decades required to reach this goal based on the given rate of increase.

In 2009, the life expectancy was about 80 years. From that point, we need to calculate the difference between the current life expectancy and the target life expectancy of 110 years.

110 years - 80 years = 30 years

Since the rate of increase is 5.3 years every decade, we can divide the difference by the rate to determine the number of decades required:

30 years / 5.3 years per decade ≈ 5.66 decades

Since we can't have a fraction of a decade, we need to round up to the nearest whole number. Therefore, it would take approximately 6 decades for humanity to achieve a life expectancy of 110 years.

To calculate the number of years, we multiply the number of decades by 10:

6 decades * 10 years per decade = 60 years

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\((\stackrel{x_1}{1}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{-7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-7}-\stackrel{y1}{6}}}{\underset{\textit{\large run}} {\underset{x_2}{-5}-\underset{x_1}{1}}} \implies \cfrac{ -13 }{ -6 } \implies \cfrac{13 }{ 6 }\)

The solution to the algebraic problem is \(x^{2}\)

What is an Algebraic Equation?

An algebraic equation is a mathematical statement that sets two expressions equal to each other. An algebraic equation is typically made up of a variable, coefficients, and constants.

Solution:

(\(x^{3}\) – 1) = (x+2)

On dividing (\(x^{3} - 1\)) by (x+2)

The first term of the quotient will be x^2 by following the Long Division Method of Algebraic Division.

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Jane has 6 - 14 - 12 = -20 boxes of beads left.

Jane initially had 6 boxes of beads.

She used 14 of those boxes to make face mask holders and gave 12 boxes to her sister.

To find out how many boxes of beads she has left, we need to subtract the boxes used and given away from the initial number.

First, let's calculate the total number of boxes used and given away:

Total boxes used and given away = Boxes used for face mask holders + Boxes given to sister

Total boxes used and given away = 14 + 12

Total boxes used and given away = 26

Next, we can subtract the total boxes used and given away from the initial number of boxes Jane had:

Boxes left = Initial number of boxes - Total boxes used and given away

Boxes left = 6 - 26

Boxes left = -20

The result is -20, which implies that Jane has a deficit of 20 boxes of beads.

This means she doesn't have any boxes of beads left; she has a shortage of 20 boxes based on the activities she performed.

It's important to note that having a negative value indicates that Jane doesn't have enough boxes to fulfill her activities.

If the result were positive, it would represent the number of boxes remaining.

However, in this case, Jane has used and given away more boxes than she initially had, resulting in a negative value.

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The series of rigid motion transformations that map polygon A to Polygon A''' are;

A rigid transformation is a transformation in which the distance between all pairs of points on the pre-image is preserved following the transformation.

The series of rigid motion transformations that map polygon A to polygon A''' are;

Transformation from A to A'

Transformation from A' to A''

Transformation from A'' to A'''

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