Explain how you can use compatible numbers to estimate the quotient of 925/29.

The 19th term of a geometric sequence is 1048576.

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

We have,

a = 4 and r = 2

The nth term of a geometric sequence.

= a\(r^{n-1}\)

Now,

The 19th term of a geometric sequence.

= a\(r^{n-1}\)

Substituting a and r values.

= 4 x \(2^{19 - 1}\)

= 4  x \(2^{18}\)

= 4 x 262144

= 1048576

Thus,

The 19th term of a geometric sequence is 1048576.

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When t is between 2 and 5, the ball will be above 10 feet.so answer is:

C. 2 ≤ t ≤ 5

Given, height h(t) = ₋t² ₊ 7t

At what values of time t is the ball 10 feet above the ground = ?

To find out the time we need to set up an inequality.

Inequality expression is given as = ₋t² ₊ 7t ≥ 10

                                                       = ₋t² ₊ 7t ₋ 10 ≥ 0

                                                       = ₋(t² ₋ 7t ₊ 10) ≥ 0

                                                       = t² ₋ 7t ₊10 ≥ 0

Now, factorize the expression and get the factors.

= t² ₋ 2t ₋ 5t ₊ 10 ≥ 0

=t(t ₋ 2) ₋ 5(t ₋ 2) ≥ 0

=(t ₋ 2) (t ₋ 5) ≥ 0

Hence t value ranges from t = 2 and 5.

As a result, when t is between 2 and 5 seconds, the ball will be farther than 10 feet, 2 ≤ t ≤ 5

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Answer: 3(x) - 3(9)

Step-by-step explanation:

Answer:

last option

Step-by-step explanation:

Using a system of equations, the rental cost for a movie and a video game is as follows:

A system of equations is two or more equations solved concurrently or at the same time.

A system of equations is also described as simultaneous equations.

                                  Movies   Video     Total

                                                Games    Cost

First month rental           3          5          $32

Second month rental    12          2          $29

Let the rental cost per movie = x

Let the rental cost per video game = y

3x + 5y = 32 ... Equation 1

12x + 2y = 29 ... Equation 2

Multiply Equation 1 by 4:

12x + 20y = 128 ... Equation 3

Subtract Equation 2 from Equation 3:

12x + 20y = 128

-

12x + 2y = 29

18y = 99

y = 5.5

Substitute y = 5.5 in Equation 1 or 2:

12x + 2y = 29

12x + 2(5.5) = 29

12x + 11 = 29

12x = 18

x = 1.5

Thus, based on simultaneous equations, the rental cost for a movie is $1.50 while a video game's is $5.50.

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Answer:

x= -3

Step-by-step explanation:

you stupid

Answer:

x= -3

Step-by-step explanation:

its a bit easy..........................

Step-by-step explanation:

For the left end of the function, it moves up towards positive infinity.

For the right end of the function, it movea down towarda negative infinity.

Therefore as x approaches -infinity, y approaches +infinity and as x approaches +infinity, y approaches negative infinity. (2nd option)

Answer:

297 containers and 8 eggs will be left over

a) X >= 4 and Y >= 5, 2X + 3Y <= 30 and 4X + 8Y <= 72

b) We have drawn the graph.

c) The maximum number of machines that can be installed is 11.

d) The maximum profit is 2,500,000.

What is inequality?

An inequality is a mathematical statement that shows the relationship between two values where one value is either greater than or less than the other value. It is represented by symbols such as >, <, ≥, or ≤. For example, if x is a variable and we want to express that x is greater than 5, the inequality would be written as x > 5.

a) X >= 4 and Y >= 5, 2X + 3Y <= 30 and 4X + 8Y <= 72

b) To graph the region, we can plot the lines that define the inequalities and shade the area that satisfies all of them.

c) Solving the system of inequalities graphically, we find the maximum number of machines that can be installed is 11 (6 small and 5 large).

d) To find the maximum profit, we need to substitute the number of machines into the profit equation. P = 250,000X + 300,000Y. Plugging in X = 6 and Y = 5, we find the maximum profit to be 2,500,000.

Hence,

a) X >= 4 and Y >= 5, 2X + 3Y <= 30 and 4X + 8Y <= 72

b) We have drawn the graph.

c) The maximum number of machines that can be installed is 11.

d) The maximum profit is 2,500,000.

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Answer:  j(x) = (x-1)(x+2)

The x-1 part is because of the root x = 1

The root x = -2 leads to the factor x+2

Answer:

number 4 is the correct answer for it equals 36

Answer:

12

Step-by-step explanation:

10x - 20 + 6x + 8 = 180

Supplementary angles

Answer:

x = 12

Step-by-step explanation:

The two given angles create a straight line (Definition of Straight Line). This means that:

\((10x - 20) + (6x + 8) = 180\)

First, combine like terms. Like terms are terms that share the same amount of the same variables:

\((10x + 6x) + (8 - 20) = 180\\(16x) + (-12) = 180\\16x - 12 = 180\\\)

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, add 12 to both sides of the equation:

\(16x - 12 = 180\\16x - 12 (+12) = 180 (+12)\\16x = 180 + 12\\16x = 192\)

Next, divide 16 from both sides of the equation:

\(\frac{16x}{16} = \frac{192}{16} \\x = \frac{192}{16}\\ x = 12\)

12 is your answer.

~

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Answer:

245 cups

Step-by-step explanation:

5 x 49 = 245

Answer:

245 cups

Step-by-step explanation:

245 divided by 5 would be 49, therefore if you multiplied 5 x 49 you would get 245 (hope that helps)

Answer: r=11

Step-by-step explanation:

A=πr^2

A=121π

121π=πr^2

r^2=121

r=11

short answer: 7 4/15

long answer:

add the two whole numbers

cross multiply the two fractions the add

simplify

7 4/15

hope this helps <3

if this is wrong just lmk and ill fix it

Answer:

7  4/15

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

We have five unshaded, 1 half of unshaded, and 1 shaded, Thus, It will be showed as \(\frac{1}{6}\)  ➗ \(2\)

Answer:

60480

Step-by-step explanation:

nPx = n! / (n-x)!

Therefore, here, n = 9 and x = 6

Therefore:

9P6 = 9! / (9-6)!

      = 9! / 3!

      = (9*8*7*6*5*4*3*2*1) / (3*2*1)

      = 60480

Hope this helps :)

Answer:

nPx = n! / (n-x)!

Therefore, here, n = 9 and x = 6

Therefore:

9P6 = 9! / (9-6)!

     = 9! / 3!

     = (9*8*7*6*5*4*3*2*1) / (3*2*1)

     = 60480

Answer:

To find 29% of 150, we can first express 29% as a decimal by dividing 29 by 100. 29% is the same as 0.29.

Then, we multiply 0.29 by 150 to find the answer:

0.29 * 150 = 43.5

So, 29% of 150 is equal to 43.5.

Here's the work:

29% * 150 = 0.29 * 150 = 43.5

\(\huge\text{Hey there!}\)

\(\mathsf{29\%\ of \ 150}\)

\(\mathsf{= \dfrac{29}{100} \ of \ 150}\)

\(\mathsf{= \dfrac{29}{100} \times 150}\)

\(\mathsf{= \dfrac{29}{100} \times \dfrac{150}{1}}\)

\(\mathsf{= \dfrac{29(150)}{100(1)}}\)

\(\mathsf{= \dfrac{4,350}{100}}\)

\(\mathsf{= \dfrac{4,350 \div 50}{100 \div 50}}\)

\(\mathsf{= \dfrac{87}{2}}\)

\(\mathsf{= 43 \dfrac{1}{2}}\)

\(\mathsf{= 43.5}\)

\(\huge\text{Therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{\dfrac{87}{2}}}\huge\checkmark\)

\(\huge\boxed{\mathsf{43 \dfrac{1}{2}}}\huge\checkmark\)

\(\huge\boxed{\mathsf{43.5}}\huge\checkmark\)

\(\large\text{Either of those should work because they are all equivalent to each}\\\large\text{other}\uparrow\)

\(\huge\text{Good luck on your assignment \& enjoy your day! }\)

Answer:

Since both q and r are odd, we can write q=2m−1 and r=2n−1 for some m,n∈N. We know that the left-hand side of this equation is even, while the righthand side of this equation is odd, which is a contradiction. Meaning, there exists no rational number r such that r2=3. So then, the root of 3 is an irrational number.

Step-by-step explanation:

The value of f(g(2)) from the given functions f(x) and g(x) is 3.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions are f(x)=2x²+1 and g(x)=3x-5.

We need to find f(g(2)).

Put x=2 in the function g(x)=3x-5, we get

g(2)=3×2-5

= 6-5

= 1

So, g(2)=1

Put x=1 in the function f(x)=2x²+1, we get

f(g(2))=2(1)²+1

= 2+1

=3

Therefore, the value of f(g(2)) is 3.

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The groups of the shapes are;

A parallelogram is known to be a kind of a quadrilateral that consist of two pairs of parallel sides.

Note that the opposite sides of a parallelogram is said to be equal in length, and the opposite angles are known to be of the same measure.  So this tells  that the shapes in group A are parallelograms.

The shapes in the group B are known to have opposite parallel sides and the angle that exist between the adjacent sides is seen as 90 degrees. This tells that the shapes in group A are rectangles

Therefore, The groups of the shapes are;

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The 0.0035 hr⁻¹ first-order degradation rate constant in the 40 °C, 1.0 mg/ml solution, where R = 1.987 cal/mol/degree and 2,000 cal/mol activation energy indicates;

a. The rate constant for first-order degradation of N₂O₂ at room temperature is approximately 4.12595 × 10⁻² hr⁻¹

A first order reaction is one that has a rate that varies linearly with the concentration of one reactant

The given parameters are;

Temperature of the solution = 40°C

T₁ = 40 °C + 273.15 = 313.15 K

The rate constant, K₁ = 0.00351 hr⁻¹

Concentration of the solution = 1.0 mg/ml

Activation energy, Eₐ = 2000 Cal/mol

R = 1.987 cal/mol/degree

The formula by which the rate constant can be found is presented as follows;

\(log\dfrac{k_2}{k_1} =\dfrac{E_a}{2.303\times R} \times \dfrac{T_2-T_1}{T_1\cdot T_2}\)

a. Room temperature = 25 °C

T₂ = 25 °C + 273.15 = 298.15 K

Therefore;

\(log\dfrac{k_2}{0.00351} =\dfrac{2000}{2.303\times 1.987} \times \dfrac{313.15-298.15}{313.15 \times 298.15}\)

\(k_2=0.00351 \times 10^{\left(\dfrac{2000}{2.303\times 1.987} \times \dfrac{313.15-298.15}{313.15 \times 298.15}\right)} \approx 4.12595\times 10^{-2}\)

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Answer:

30:5  48:8  54:9

Step-by-step explanation:

Answer:

24

Step-by-step explanation: just take the muttpycation problem and solf it

The volume of the solid of revolution formed by revolving the region bounded by f(x) = -3x² + 8 and g(x) = 3x² + 2 about the x-axis is 16π cubic units.

To find the volume of the solid of revolution formed by revolving the region bounded by the curves f(x) = -3x² + 8 and g(x) = 3x² + 2 about the x-axis, we can use the method of cylindrical shells and integrate.

First, let's find the points of intersection between the two curves by setting them equal to each other:

-3x² + 8 = 3x² + 2

Rearranging the equation, we get:

6x² = 6

x² = 1

x = ±1

So, the curves intersect at x = -1 and x = 1.

To calculate the volume, we'll integrate along the x-axis from x = -1 to x = 1. The volume of each cylindrical shell can be determined by multiplying the circumference (2πy) by the height (dx), where y represents the distance from the axis of revolution to the curve at a given x-value.

The radius of the cylindrical shell, y, can be obtained by subtracting the lower curve (f(x)) from the upper curve (g(x)). Therefore, y = (3x² + 2) - (-3x² + 8) = 6x² - 6.

The integral to compute the volume of the solid can be expressed as:

V = ∫[from -1 to 1] 2π(6x² - 6) dx

V = 2π ∫[from -1 to 1] (6x² - 6) dx

Simplifying and evaluating the integral, we get:

V = 2π [2x³ - 6x] [from -1 to 1]

V = 2π [(2(1)³ - 6(1)) - (2(-1)³ - 6(-1))]

V = 2π [2 - 6 - (-2 + 6)]

V = 2π [8]

V = 16π

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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given question.

STEP 2: Divide the expression into two parts and solve each parts to get their results

STEP 3: Solve the first expression

STEP 4: Solve the second expression

STEP 5: Compare the two results from the simplified expressions

Hence,

Equal sign(=)

Answer:

B.

   BC = 4.8cm

   AC = 3.6cm

   ∠B = 37°

   ∠C =90°

Step-by-step explanation:

I calculated it logically

Answer:

B

Step-by-step explanation:

Edg told me

Answer:

\(2x^2 - 12x + 1\)

Step-by-step explanation:

Hello!

Given the expression: \(4x^2 - 8x + 3 - (2x^2 + 4x + 2)\)

Simplify by combining like terms.

Like terms are terms with the same variable and raised to the same power.

The simplified form is \(2x^2 - 12x + 1\).

Answer:

ok so we now that half a hour is 30 minutes so in 30 minutes she walked 4/3 of a miles so lets just multiply that by 2

8/3 or 2 2/3 or a miles a hour

2.6667 mph

Hope This Helps!!!

Answer:

width = 6 cm

Step-by-step explanation:

since the diagonal is 15, and since both a rectangle has both sides, be double the diagonal.

15 x 2 = 30

diagonal (both sides) = 30

since we know the full perimeter and are looking to find the width, we will subtract both sides of the diagonal from the perimeter.

42 - 30 = 12

width (both sides) = 12

in order to get the width of one side, we will need to divide it in half.

12 / 2 = 6

width = 6 cm

hope this helps :)

Usando un sistema de ecuaciones, hay que se elaboraron 6 títulos y 16 actas.

Para el sistema, hay que:

Total de 22 operaciones, o sea:

\(x + y = 22\)

$3500 por elaborar un título de propiedad y $2000 por el acta constitutiva de una empresa. Ingreso total de $53000, o sea:

\(3500x + 2000y = 53000\)

De el primer ecuación:

\(y = 22 - x\)

Reemplazando en la segunda:

\(3500x + 2000y = 53000\)

\(3500x + 2000(22 - x) = 53000\)

\(1500x = 9000\)

\(x = \frac{9000}{1500}\)

\(x = 6\)

\(y = 22 - x = 22 - 6 = 16\)

Se elaboraron 6 títulos y 16 actas.

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