Create a number pattern that follows the rule x + 7. Include 3 terms using the pattern

Answer:

300 ft in one hour.

Step-by-step explanation:

Hello! So, lets begin!

"What Is Estimation?"

That being said, lets estimate as close as we can for the given expression.

1. We are given the following:

\(2.8\) × \(9.1\) \(= ?\)

We first must multiply the two, however multiply them without their decimal points. Those will be placed in later on.

\(28\) × \(91 = 2548\)

2. Notice, 2.8 has 1 decimal place, and 9.1 also has 1 decimal place. This being said, the final solution will have 2 decimal places.

\(= 25.48\)

3. Now, given the following options to choose from, I would say we can roughly estimate the solution to the given expression is B) 27.

_____________________________________________________

Hope this helps!

Answer:

20³

(4.5)³

8000

Step-by-step explanation:

according to the question

(4.5)³

20³

20×20×20

8000

Answer:

8000 or (4*5)^3

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

13=g/3 +4

9=g/3

27=g

answer:27

The volume of the given solid is πa³/4 cubic units.

Given that the base of a solid is a quadrant of a circle of radius a and each cross-section perpendicular to one edge of the base is a semicircle whose diameter lies in the base.

To find the volume of the solid, we'll integrate the area of the cross-section over the height of the solid.

Let us consider a cross-section with thickness dx at a distance x from the vertex of the quadrant, as shown in the figure below.

Here, the diameter of the semicircle forming the cross-section is 2(x + a).

Therefore, the radius of the semicircle is (x + a).

Area of the cross-section = Area of the semicircle= π[(x + a)²]/2

Volume of the solid = ∫Area dx from 0 to a= ∫π[(x + a)²]/2 dx from 0 to a= π/2 ∫(x² + 2ax + a²) dx from 0 to a= π/2 [(a³/3 + 2a²/2 + a³/2) - (0)] = πa³/4 cubic units

Therefore, the volume of the given solid is πa³/4 cubic units.

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The constant charge for each minute used is $0.02. It means each minute used cost $0.02.To summarize,The constant charge for each minute used is $0.02.

The constant charge for each minute used can be determined through solving the given problem statement.According to the problem statement,The total cost for 100 minutes in January was $57The total cost for 150 minutes in February was $58Therefore, the difference in the number of minutes used is (150 - 100) = 50The difference in the total cost is (58 - 57) = 1To calculate the constant charge for each minute, we divide the difference in cost by the difference in the number of minutes used:$1 ÷ 50 = $0.02Therefore, the constant charge for each minute used is $0.02. It means each minute used cost $0.02.To summarize,The constant charge for each minute used is $0.02.

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Answer:

D

Step-by-step explanation:

The sides of a rhombus are congruent , then

13b - 9 = 3b + 4 ( subtract 3b from both sides )

10b - 9 = 4 ( add 9 to both sides )

10b = 13 ( divide both sides by 10 )

b = 1.3

The diagonals are perpendicular bisectors of each other , then

14a + 20 = 90 ( subtract 20 from both sides )

14a = 70 ( divide both sides by 14 )

a = 5

Thus c = a + b = 5 + 1.3 = 6.3 → D

The probability  is 0.0808 or 8.08%

To answer this question, we need to use the normal distribution formula:

Z = (X - μ) / σ

where:

Z = the standard score or z-score

X = the value we want to find the probability for (in this case, X = 173)

μ = the mean (μ = 180)

σ = the standard deviation (σ = 5)

Substituting the values, we get:

Z = (173 - 180) / 5 = -1.4

Using a calculator or a standard normal distribution table, we can now determine the likelihood of getting a value below -1.4.

We can determine the probability that corresponds to a z-score of -1.4 by using a standard normal distribution table, which is approximately 0.0808.

Therefore, the probability of getting less than 173 calls during a given hour of the day is 0.0808 or 8.08% (rounded to the nearest thousandth).

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Answer:

x = 4

Step-by-step explanation:

Knowing that:

\( log_{a}(x) = b\)

Is equal to

\(x = a {}^{b} \)

And knowing that:

\( log_{x}(256) = 4\)

\(x {}^{4} = 256\)

Solve by finding the x using the fourth root

\( \sqrt[4]{ {x}^{4} } = \sqrt[4]{256} \)

That is equal to

\(x = 4\)

Answer:

-1

Step-by-step explanation:

so -x-6 and x-4 are both = to y so that means they are both = to each

other so -x-6=x-4 add x to both sides -6=2x-4 add 4 to both sides 2x = -2 simplify by divide by 2 so x=-1

Answer:

Take the second equation and add 4 to both sides, this gives you x=y+4. The plug in y+4 on the first equation, so y=-(y+4)-6, distribute the negative to everything inside the parentheses, and you get y=-y-4-6. Combine like terms and you get y=-y-10, then add y to both sides, you get 2y=-10, divide both sides by 2 and you get y=-5.

Then plug -5 into the second equation and you get -5=x-4, add 4 to both sides and you get -1=x.

If you want to check your answer, just plug in x and y to either of the equations and see if it makes a true statement.

Answer:

250?

Step-by-step explanation:

1000÷4=250

I think this is the right answer.

Answer:

250

Step-by-step explanation:

100/4 =25

you just add another 0

Answer:

(5,20)

Step-by-step explanation:

Looking at the pair, we can see that the value of y is simply the value of x multiplied by 4

so we have to multiply the value of x by 4 to get the value for y

So any of the options we can see this proportional relationship is correct

Looking at the options, we can see the third option. (5,20)

20/5 is 4 which makes the option correct

Answer:

Lets solve using elimination method

(x+y=-7)*-2

3x+2y=-17

-2x-2y=14

+

3x+2y=-17

x=-3

so lets substitute now

-3+y=-7

y=-7+3

y=-4

answer = (-3,-4)

mark me brainliest

HOPE IT HELPS :)

Answer:

que aa que quiere uste puntos yo tmbb ayuda

The value of x and y from the simultaneous equation; 3x + 2y = 19, 4x - y = 29 is 7 and -1 respectively.

3x + 2y = 19 (1)

4x - y = 29 (2)

Multiply (2) by 2

8x - 2y = 58 (3)

Add (1) and (3)

3x + 2y = 19 (1)

8x - 2y = 58 (3)

11x = 77

x = 77/11

x = 7

4x - y = 29 (2)

4(7) - y = 29

28 - y = 29

subtract 28 from both sides

-y = 29 - 28

-y = 1

y = -1

Therefore, the solution to the equation is (x, y) = (7, -1)

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Answer:

-6/3 or -2

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

2x+\(\frac{0.8}{9}\)=1.2

2x=1.2-\(\frac{0.8}{9}\)

x=\(\frac{1.2-\frac{0.8}{9} }{2}\)

x=5/9

Minimization of  f(x) = |x+3| + x^3 at the endpoints (-2 and 6)  the minimum value of the function is approximately 3.84, which occurs at x= \sqrt{1/3}

within the given interval.

To minimize the function subject to the constraint f(x) = |x+3| + x^3 that x lies in the interval [-2, 6], we need to find the value of x that minimizes f(x) within that interval.

First, let's analyze the function f(x). The absolute value term |x+3| can be rewritten as:

|x+3| =

x+3 if x+3 >= 0

-(x+3) if x+3 < 0

Since the interval [-2, 6] includes both positive and negative values of x+3, we need to consider both cases.

Case 1: x+3 >= 0

In this case, f(x) = (x+3) + x^3 = 2x + x^3 + 3

Case 2: x+3 < 0

In this case, f(x) = -(x+3) + x^3 = -2x + x^3 - 3

Now, we can find the minimum of f(x) within the given interval by evaluating the function at the endpoints (-2 and 6) and at any critical points within the interval.

Calculating the values of f(x) at x = -2, 6, and the critical points, we can determine the minimum value of f(x) and the corresponding value of x.

Since the equation involves both absolute value and a cubic term, it is not possible to find a closed-form solution or an exact minimum value without numerical methods or approximation techniques.

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Mrs. Green can serve a total of six different combinations of two vegetables from the given options.

To find out, we can use the combination formula: \(nCr = n! / (r! * (n-r)!)\)

where n is the total number of items to choose from, and r is the number of items to choose. In this case, n = 4 (carrots, peas, okra, and green beans) and r = 2 (the number of vegetables to be served).

Therefore, the formula becomes: 4C2 = 4! / (2! * (4-2)!)

= (4 * 3 * 2 * 1) / [(2 * 1) * (2 * 1)]

= 6

Mrs. Green can serve six different sets of two vegetables with dinner. These are: carrots and peas, carrots and okra, carrots and green beans, peas and okra, peas and green beans, and okra and green beans.

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Answer:

Given,

Volume of a cone = 1540 cm\( {}^{3} \)

Radius ( r ) = 7 cm

π ( pi ) = \( \frac{22}{7} \)

Height of cone ( h ) = ?

Now, let's find the height of cone:

Volume of cone = \(\pi \: {r}^{2} \frac{h}{3} \)

plug the values

\(1540 = \frac{22}{7} \times {(7)}^{2} \times \frac{h}{3} \)

Evaluate

\(1540 = \frac{22}{7} \times 49 \times \frac{h}{3} \)

Calculate

\(1540 = \frac{154 \: h}{3} \)

Apply cross product property

\(154 \: h = 1540 \times 3\)

Calculate the product

\(154 \: h = 4620\)

Divide both sides of the equation by 154

\( \frac{154 \: h}{154} = \frac{4620}{154} \)

Calculate

\(h \: = 30 \: cm\)

Hope this helps...

Best regards!!

Last one absolutely(We need quadratic equation not inequality here)

Let's check again for confirmation

\(\\ \rm\rightarrowtail x^2-40x+300=0\)

\(\\ \rm\rightarrowtail x^2-30x-10x+300=0\)

\(\\ \rm\rightarrowtail (x-30)(x-10)=0\)

\(\\ \rm\rightarrowtail x=30,10\)

X has values 30 and 10

Rob has highest means atleast 30

Answer:

B. x² - 40x + 300 ≥ 0

C. 30

Step-by-step explanation:

Let x = number of balloons Rob started with

Let y = number of balloons Loretta started with

Given:

⇒ x + y = 40

Given:

⇒ (x - 8)(y - 8) ≤ 44

Rewrite  x + y = 40  to make y the subject:

⇒ y = 40 - x

Substitute into (x - 8)(y - 8) ≤ 44 and simplify:

⇒ (x - 8)(40 - x - 8) ≤ 44

⇒ (x - 8)(32 - x) ≤ 44

⇒ 32x - x² -256 + 8x ≤ 44

⇒ - x² + 40x - 256 ≤ 44

⇒ - x² + 40x - 300 ≤ 0

Dividing both sides by -1 (remembering to change the direction of the inequality sign):

⇒ x² - 40x + 300 ≥ 0

Factor  x² - 40x + 300 ≥ 0

⇒ x² - 10x - 30x + 300 ≥ 0

⇒ (x² - 10x) + (-30x + 300) ≥ 0

⇒ x(x - 10) -30(x - 10) ≥ 0

⇒ (x - 10)(x -30) ≥ 0

Therefore,  x ≤ 10 or x ≥ 30

As x + y = 40:

If x ≤ 10 then y ≥ 30

If x ≥ 30 then y ≤ 10

If Rob (x) had MORE balloons than Loretta (y) then only
If x ≥ 30 then y ≤ 10 is valid

Therefore, the least number of balloons Rob could have had before using any is 30.

The income tax for the married couples under filing a joint return receives a standard deduction of $25,100.

An income tax is a type of tax that governments impose on income generated by businesses and individuals within their jurisdiction.

In this case, the income tax for the married couples filing a joint return receives a standard deduction of $25,100

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Answer: 50g steel, 30g gold and 70g brass

Step-by-step explanation:

     This means for every 5g of steel there is 3g of gold and 7g of brass. We will find how many g there are total for every 5g of steel.

           5 + 3 + 7 = 15

     Next, we will divide 150g by 15g to see how many times the ratio will "repeat" to create the 150g of alloy.

           150g / 15g = 10g

     Next, we will multiply each amount of metal in one ratio by 10.

5g * 10 = 50g steel

3g * 10 = 30g gold

7g * 10 = 70g brass

Answer:

Step-by-step explanation

                                          to get 50g of steel.

\

Answer:

CSA =220sq.cm

Step-by-step explanation:

The height of the pole is 20 feet (to the nearest foot).

Hence, option (B) is the correct answer.

Given that Marci, who is 5 feet tall, stands so that her lines of sight to the top and bottom of the pole form a 90° angle.

.Let the height of the pole be x feet

Now, using similar triangles, we can say that:

`5/x = x/h`

Where h is the distance between Marci and the pole.

Hence, we can write:

`h^2 = x^2 + 5^2`or`h^2 = x^2 + 25`

Now, using the given data, we know that `h = x + 5`

Thus, substituting h in the second equation, we get:

`(x+5)^2 = x^2 + 25`

Expanding the terms, we get:`

x^2 + 10x + 25 = x^2 + 25`

Simplifying the terms, we get:

`10x = 0x = 0`

Thus, the height of the pole is:

`x = h - 5`

But we know that h = x + 5

Hence, `x = h - 5 = (x+5) - 5 = x`

Therefore, the height of the pole is:x = 20 feet

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The value of x is 5.

The length of ST is 16.

Collinear points are the points that lie on the same straight line or in a single line.

Given:

RS = 5x - 9 and RT = 3x + 17

As, R, S and T are collinear points.

so, we can write

RS = ST

and, RS + ST = RT

2ST = Rt

ST= RT/2

ST = (3x+ 17)/2

Now,

RS = ST

5x - 9 =  (3x+ 17)/2

10x - 18 = 3x+ 17

7x = 35

x=5

So, the value of x is 5.

Now, length of ST

= (3x+ 17)/2

=(3*5 + 17)/2

=32/2

=16

Thus, length of ST is 16 units

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Answer:

1.25

Step-by-step explanation:

125/100 = 1.25

Answer:

it's 1.25

Step-by-step explanation:

125 ÷100 = 1.25

Step-by-step explanation:

\(3x + \frac{2}{4} x + 1 = 5x + \frac{1}{3} x + 2 \\ 1.833 x+ 1 = 0 \\ 1.833x = - 1 \\ x = 0.545\)