What is the solution for -3 x ≥ 36?

Answer: At the Month May Jordan as able to get enough money to buy the phone.

Work:

December:$5

January:$10

February:$20

March:$40

April:$80

May:$160 <--Answer

____________________________________________________________In the problem Jordan saves $5 at December, then at January Jordan saved $10 which is twice as December's saved money amount. February, Jordan saved $20, which is twice as January's saved money amount. March is $40, which is twice as February's saved money amount. For April it is $80, which is twice as March's money amount, May is $160 which is twice as April's money amount. Or another way to say this is by starting at $5. Then, keep multiplying by 2 for each month until you get $150 or more. When you do, stop at the month that gets you $150 or more. When i did this exact method, I got $160 on the Month of May. $160 is more than enough for Jordan to buy his phone. So the month May is the correct answer where Jordan can get enough money for his phone.

Answer: The fifth month; By April Jordan would have saved more than enough to buy a new phone.

Step-by-step explanation:

Dec $5

Jan $10

Feb $20

Mar $40

Apr $80

Dec + Jan = $15($5+$10)

Dec+ Jan + feb = $35($5+$10+$20=$35)

Dec+ Jan + feb + mar = $75 ($5+$10+$20+$40=$75)

Dec+ Jan + feb + mar + apr = $155

($5+$10+$20+$40+$80=$155)

Value of equation T - 40 = 3 T equals to 43.

Equation is a declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics. Simple algebraic equations with merely addition or multiplication to differential equations, exponential equations with exponential expressions, and integral equations are examples of different types of equations. They are employed to represent a number of physics laws. also see equation system. 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.

Given

Equation

T - 40 = 3

Adding 40 on both sides,

T = 40 + 3

T = 43

Value of equation T - 40 = 3 is 43.

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1. The x intercept is 0 or 6

x-cordinate vertex = 3 , y-cordinate vertex = 9

2. x intercepts are 4 and -5

x-cordinate vertex = -1 and y-cordinate vertex = -20

What is intercept and vertex of a quadratic graph?

The x intercept of a quadratic graph are the roots of the quadratic equation. The vertex of a quadratic equation is the maximum or minimum point on the equation's parabola.

To find the x coordinate of the vertex , we use

x = -b/2a

and the y cordinate is found by substituting the value of -b/2a for x

1. y = x( x -6)

when y = 0

the roots of the equation = x = 0 or 6

and the x coordinate vertex = -(-6)/2 = 6/2 = 3

the y cordinate vertex = y = 3(3-6) = 3 × 3 = 9

2. y = (x-4)(x+5)

when y = 0

x = 4 or -5

and the x coordinate vertex = -1/1 = -1

y cordinate vertex = (-1-4)(-1+5)

= -5× +4 = -20

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Answer: 90 degrees

Step-by-step explanation: its 90

Answer:

A

Step-by-step explanation:

\(2x^2(x-5)-3(x-5)=\\2x^3-10x^2-3x+15=\\(x-5)(2x^2-3)\)

Therefore, the correct answer is choice A. Hope this helps!

The factor of the polynomial is (x - 5)(2x² - 3).

Option A is the correct answer.

Polynomial is an equation written with terms of the form kx^n.

where k and n are positive integers.

There are quadratic polynomials and cubic polynomials.

Example:

2x³ + 4x² + 4x + 9 is a cubic polynomial.

4x² + 7x + 8 is a quadratic polynomial.

We have,

We can factor the polynomial 2x² (x - 5) - 3(x - 5) by first factoring out the common factor of (x - 5).

This gives:

2x² (x - 5) - 3(x - 5)

= (x - 5)(2x^2 - 3)

Thus,

The factor of the polynomial is (x - 5)(2x² - 3).

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A function rule that relates the total distance a car can travel d as a function of the number of gallons of gas in its tank g is given by: d = 20g

A proportion can be defined as an equation which is typically used to represent the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

Mathematically, a rule that relates the total distance (d) which a car can travel as a function of the number of gallons (g) of gas in its tank:

d = 20g

Where:

In conclusion, the total distance (d) traveled by most cars is directly proportional to the number of gallons (g) of gas in their tank at a constant rate of 20 miles per gallon of gas.

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Answer:

6 < x

Step-by-step explanation:

4(3x + 2) <5(3x - 2)

Distribute

12x +8 < 15x -10

Subtract 12 x from each side

12x +8-12x < 15x-12x -10

8 < 3x - 10

Add 10 to each side

8+10 < 3x-10+10

18 < 3x

Divide by 3

18/3 < 3x/3

6 < x

The total distance of Tyler's journey is 168km

To find the distance covered by Tyler

Let, distance covered by Tyler at a slow speed=x

Let, distance covered by Tyler at high speed=y

Time taken by Tyler during normal days=2.5 hours

Average speed through urban areas= 42 km/h

An average speed along the motorway=105 km/h

Time taken by Tyler during fog=4 hours

Average speed through urban areas during fog=  28km/h

An average speed along the motorway during fog=60 km/h

By using

\(Time=\frac{distance}{speed}\)

Therefore, according to the question

\(\frac{x}{42} +\frac{y}{105} =2.5\)        (1 equation)

\(\frac{x}{28} +\frac{y}{60} =4\)            (2 equation)

Solve first equation

\(\frac{105x+42y}{4410} =2.5\)

\(105x+42y=11025\)                (3rd equation)

Solve second equation

\(\frac{60x+28y}{1680}=4\)

\(60x+28y=6720\)                    (4th equation)

Multiply 3rd equation by 28 and 4th equation by 42

Therefore, after multiplying the 3rd equation by 28 we have-

\(28(105x+42y)=11025(28)\)

\(2940x+1176y=308700\)         (5th equation)

And after multiplying the 4th equation by 42 we have-

\(42(60x+28y)=6720(42)\)

\(2520x+1176y=282240\)          (6th equation)

Subtract 6th equation from 5th equation we have-

\(420x=26460\)

\(x=\frac{24600}{420}\)

\(x=63\)

Therefore the total distance covered by Tyler is

63+105=168km

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Answer:

Below

Step-by-step explanation:

Picture  is     .12   x  .08  m

    2 m / .08 m = 25

    2.4 m / .12 m = 20    <===== limiting factor   ( 20 is less than 25)

      so it would be   20 * (.12)      X      20(.08)   =  3.84 m^2

The set that includes all the elements that are shared between two sets, set A and set B, is known as the intersection of the two sets. The intersection is represented by the symbol "∩".

It is essentially a subset of both sets, containing only the elements that are present in both sets.

For instance, if set A contains the numbers 1, 2, 3, and 4, while set B contains the numbers 2, 3, 4, and 5, then their intersection will be the set {2, 3, 4}.

The concept of intersection is frequently used in various areas of mathematics, such as set theory, algebra, and geometry, among others.

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The value of x from the equation is 1

The value of y from the equation is 7

-5x+2y= 9............equation 1

y= 7x...............equation 2

Substitute 7x for y in equation 1

-5x + 2(7x) = 9

-5x + 14x= 9

9x= 9

x= 9/9

x= 1

Substitute 1 for x in equation 2

y= 7x

y= 7(1)

y= 7

Hence the value of x is 1 and the value of y is 7

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Answer:

D

Step-by-step explanation:

Every time there is a number outside the parenthesis, you have to distribute that number to each number within the parenthesis. The numbers are multiplied but the symbol in the middle stays the same.

a. The median number of calls = 55

b. The first and third quartiles, Q1 = 48 and Q3 = 66

c. The first decile and the ninth decile, D1 = 45 and D9 = 71.

d. The 33rd percentile = 52.5

To answer the questions, let's first organize the data in ascending order:

38 40 41 45 48 48 50 50 51 51 52 52 53 54 55 55 55 56 56 57 59 59 59 62 62 62 63 64 65 66 66 67 67 69 69 71 77 78 79 79

(a) The median is the middle value of a dataset when arranged in ascending order.

Since we have 40 observations, the median is the value at the 20th position.

In this case, the median is the 55th visit.

(b) The quartiles divide the data into four equal parts.

To find the first quartile (Q1), we need to locate the position of the 25th percentile, which is 40 * (25/100) = 10.

The first quartile is the value at the 10th position, which is 48.

To find the third quartile (Q3), we need to locate the position of the 75th percentile, which is 40 * (75/100) = 30.

The third quartile is the value at the 30th position, which is 66.

Therefore, Q1 = 48 and Q3 = 66.

(c) The deciles divide the data into ten equal parts.

To find the first decile (D1), we need to locate the position of the 10th percentile, which is 40 * (10/100) = 4.

The first decile is the value at the 4th position, which is 45.

To find the ninth decile (D9), we need to locate the position of the 90th percentile, which is 40 * (90/100) = 36.

The ninth decile is the value at the 36th position, which is 71.

Therefore, D1 = 45 and D9 = 71.

(d) To find the 33rd percentile, we need to locate the position of the 33rd percentile, which is 40 * (33/100) = 13.2 (rounded to 13). The 33rd percentile is the value at the 13th position.

Since the value at the 13th position is between 52 and 53, we can calculate the percentile using interpolation:

Lower value: 52

Upper value: 53

Position: 13

Percentage: (13 - 12) / (13 - 12 + 1) = 1 / 2 = 0.5

33rd percentile = Lower value + (Percentage * (Upper value - Lower value))

                = 52 + (0.5 * (53 - 52))

                = 52.5

Therefore, the 33rd percentile is 52.5.

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The probability that the family will have only one right-handed child is:

(2/3)³ + 3*(2/3)² * (1/3) = 0.593

Simply put, the probability is the likelihood that something will occur.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.

Statistics is the study of events that follow a probability distribution.

It is expressed as a number between 0 and 1, with 1 denoting certainty and 0 denoting the impossibility of the event.

It follows that the likelihood of an event increasing increases with probability, making its occurrence more likely.

So, given that there are more left-handed people than right-handed people, there is a 2/3 chance that a child will be right-handed and a 1/3 chance that they will be left-handed.

Consequently, the likelihood that the family will have both-handed offspring is

1 - P (not A) = 1 - (2/3)³ = 0.741

The formula P(B) = P(not A) + P can be used to determine the likelihood of event B.

(A and B).

Given that there are more left-handed people than right-handed people, there is a 2/3 chance that a child will be right-handed and a 1/3 chance that they will be left-handed.

Consequently, the likelihood that the family will have no more than one right-handed child is: (2/3)³ + 3*(2/3)² * (1/3) = 0.593

Therefore, the probability that the family will have only one right-handed child is:

(2/3)³ + 3*(2/3)² * (1/3) = 0.593

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Answer:

Area of background without flower bed = 575 feet²

Step-by-step explanation:

Given:

Length of rectangle ground = 35 feet

Width of rectangle ground = 20 feet

Height of triangle bed = 10 feet

Base of triangle bed = 25 feet

Find:

Area of background without flower bed

Computation;

Area of background without flower bed = Area of rectangle - Area of triangle

Area of background without flower bed = [l x b] - (1/2)(b)(h)

Area of background without flower bed = [35 x 20] - (1/2)(25)(10)

Area of background without flower bed = 700 - 125

Area of background without flower bed = 575 feet²

Answer:

125 for the backyard with the flower bed, and the backyard that does not include the flower bed is 575 square feet :)

Answer:

25

Step-by-step explanation:

10+7+8=25 this is because her cat weighs 8 pounds and her dog weighs 10 pounds more so that's 18 lb. after words it says Cameron's dog weighs 7 pounds less than bills so you do 18+7 and that equals 25

Answer:

The author is intending the character to be mean, old, and snobby. He also hates Christmas

Step-by-step explanation:

He does this by comparing the character to other objects.

The result of the division of the number by 100 gives 3.05109 in decimal.

A decimal is really a number that is divided into two parts: another whole and a fraction.

For the given number.

= 305.109 ÷ 100

Then point will shift to 2 decimals towards left.

= 3.05109

Thus, the result of the division of the number by 100 gives 3.05109 in decimal.

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According to probability, if both families want to sit together, they can be seated in a row a maximum of two times.

The direction that each person is facing is crucial when arranging the people.

In order to determine how many ways they can be seated in a row if both families want to sit together, imagine that two families with four members each attend a movie theatre.

Given that the arrangement is important, we will apply the permutation rule. We'll divide the remaining four into two groups of four each.

There are two different ways to arrange the groups so they can sit together.

2! = 2 * 1

2! = 2ways

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Answer: 3 quarts and 14 ounces

Step-by-step explanation:

1 gallon = 4 quarts = 128 ounces,

1 quart = 2 pints,

1 pint = 16 ounces.

Therefore:

5 gallons - ( 4 gallons 1 pint 2 ounces ) =

= 5 * 128 - ( 4 * 128 + 1 * 16 + 2 ) = 640 ounces - 530 ounces = 110 ounces

110 ounces = 3 * 32 + 14

Answer: X = 3

Step-by-step explanation:

We have the initial, \(-3x+14=4x-7\).

We have to have the unknown's on one side, and the known's on another.

Using the American Method taught in schools, we subtract 14 from both sides.

\(-3x+14-14=4x-7-14\)

Then we simplify.

\(-3x=4x-21\)

Then we subtract 4x from both sides.

\(-3x-4x=4x-21-4x\)

Simplify again.

\(-7x=-21\)

Divide both sides by -7

\(\frac{-7x}{-7} = \frac{-21}{-7}\)

To do that division, we apply the rule \(\frac{-a}{-b} = \frac{a}{b}\)

\(\frac{7x}{7}\)

Divide the number excluding the x.

\(\frac{7}{7} = 1\), leaving us with x.

Now for \(\frac{-21}{-7}\), we can use the earlier rule to get \(\frac{21}{7}\).

After the division we are left with 3.

Using both, we now know that x = 3.

A consumer loan of $40,000 with a 15.8% interest rate will require monthly payments over a period of 2 years. The total amount to be paid, including both principal and interest, will be approximately $45,380.

To calculate the monthly payments, we need to determine the total amount to be paid over the loan period, including the principal amount and the interest. The formula used for calculating equal monthly installments is:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M = Monthly payment

P = Principal amount

r = Monthly interest rate

n = Number of monthly payments

In this case, the principal amount (P) is $40,000, the interest rate (r) is 15.8% per year, and the loan duration (n) is 2 years (24 months).

First, we convert the annual interest rate to a monthly rate by dividing it by 12: 15.8% / 12 = 0.0132.

Next, we substitute the values into the formula:

M = 40,000 * (0.0132 * (1 + 0.0132)^24) / ((1 + 0.0132)^24 - 1)

Calculating this formula gives us the monthly payment (M) of approximately $1,907.42.

To find the total amount to be paid, we multiply the monthly payment by the number of payments: $1,907.42 * 24 = $45,778.08. However, this includes both the principal and the interest. Subtracting the principal amount ($40,000) gives us the total interest paid: $45,778.08 - $40,000 = $5,778.08.

Therefore, the total amount to be paid, including both principal and interest, will be approximately $45,778.08.

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The magnitude of the moment about the y-axis is the absolute value of the y-component, which is 320.

Option B is the correct answer.

We have,

The position vector is given by the coordinates of the point of application of the force, which is (4,-6,4).

So, the position vector r.

r = <4, -6, 4>

Next, we need to find the cross product of the position vector r and the force vector F to get the moment vector M.

The moment vector.

M = r x F

where x denotes the cross product.

We are given the x and y components of the force, but not the z component.

However, we know that the magnitude of the force is 500, which means that:

|F| = sqrt(Fx^2 + Fy^2 + Fz^2) = 500

Substituting Fx and Fy in the equation above, we get:

sqrt(300^2 + 200^2 + Fz^2) = 500

Simplifying, we get:

Fz^2 = 120000

Fz = 346.41 (approx)

The force vector.

F = <300, 200, 346.41>

Now, we can calculate the moment vector M as follows:

M = r x F

= <4, -6, 4> x <300, 200, 346.41>

= <-800, 320, -200>

The moment vector has components of -800, 320, and -200 along the

x, y, and z axes, respectively.

Thus,

The magnitude of the moment about the y-axis is the absolute value of the y-component, which is 320.

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The Volume of the Cylinder is: 73.79 *10^12 CM3.

The volume of a cylinder can be found using the formula:

V = \(\pi r²h\)

Where r is the radius, h is the height, and π (pi) is approximately equal to 3.14.

n this case, the radius is 5.4 * 10^6 cm and the height is 2.5 * 10^3 cm, so we can plug in the values to find the volume:

V =  \(\pi *(5.4 * 10^6)^2 * (2.5 * 10^3)\)

V =  \(\pi *29.16 * 10^12 * 2.5 * 10^3\)

V = \(\pi * 73.79 * 10^12 cm^3\)

The volume of the cylinder is approximately 73.79 * 10^12 cubic centimeters.

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Answer:

D

Step-by-step explanation:

24+52=76

76:150

38:75

The area of the garden whose length and width as given in the task content is; 30 (x + 2) square units.

It follows from the task content that the expression which represents the area of the garden plot whose dimensions are as given.

Recall that Area, A = length × width.

Therefore, since length = 6 (√(x + 2)) units

The width = (5 √(x + 2) ) units

Hence, the area of the garden plot as required in the task content is; 6 (√(x + 2)) × ( 5 √(x + 2) )

= 30 (x + 2) square units

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From the two column proof concept we can say that:

1) It is one way to organize a proof in geometry.

2) The statements are on the first column

3) Statement 2: ∠MOK ≅ ∠TOK

Reason 2: Definition of Angle Bisector

Statement 3: OK ≅ OK

Reason 3: Reflexive Property of Congruency

Statement 4: OM ≅ OT

Reason 4: Given

1) A two column proof is the most common formal proof in elementary geometry courses, where the known or derived statements are written in the left column, and the reasons why each statement is known or valid are in the right column next to it. is written.

Thus, it is one way to organize a proof in geometry.

2) The statements are on the first column while the reasons are on the second column

3) Statement 2: ∠MOK ≅ ∠TOK

Reason 2: Definition of Angle Bisector

Statement 3: OK ≅ OK

Reason 3: Reflexive Property of Congruency

Statement 4: OM ≅ OT

Reason 4: Given

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Answer:

x = 7

Step-by-step explanation: