I can use reasoning to estimate decimal quotients. O A. strongly agree o O B. agree o C. disagree D. strongly disagree​

The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

1. Start with the given equation: 2-3cos(x) = 5+3cos(x).

2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.

3. Combine like terms: 2-6cos(x) = 5.

4. Subtract 2 from both sides: -6cos(x) = 3.

5. Divide both sides by -6: cos(x) = -1/2.

6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.

7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.

8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.

9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

For more such questions on equation, click on:

https://brainly.com/question/17145398

#SPJ8

The work that gravity does;

W = F.S = mgΔh

In light of the fact that gravity points downward and that displacement is also downward, their angle is 0 and their cosine 1, respectively.

W = mgΔh

g = 9.8 m/s²

Δh  = 4.6 m

m = 0.60 kg

W = 0.60 x 9.80 x 4.6

W = 2.7 J

The source of gravitational potential energy in relation to the ground is;

U = mgh

The release point therefore

Ug = mgh(0)

U0 = 0.60 x 9.8 x 6.1

U0 = 35.87 J

At the point of release

U(gf) = mgh(f)

U(gf) = 0.60 x 9.80 x 1.5

U(gf) = 8.820 J

Gravitational potential energy changes are;

ΔU(g) = U(gf) - U0

ΔU(g) =  8.820 J - 35.87 J

ΔU(g) = -27.05 J

Result, we can see that the work done through gravity is the opposite of how the gravitational potential energy has changed.

To know more about the gravitational potential energy, here

https://brainly.com/question/3120930

#SPJ4

The height of the right circular cylinder with volume of 500π cubic centimetre and radius of 5 centimetre is 20 cm.

volume = πr²h

where

Therefore,

volume = 500π cm³

r = 5 cm

Therefore,

volume of the cylinder = πr²h

500π = 5²πh

500π = 25πh

divide both sides by 25π

500π / 25π = 25πh / 25π

h = 20 cm

learn more on cylinder here: https://brainly.com/question/11083770

Answer:

A) 20 cm

Step-by-step explanation:

The data correlation in the scatter plot above include the following: B. positive.

In Mathematics, a positive correlation is used to described a scenario in which two variables move in the same direction and are in tandem.

This ultimately implies that, a positive correlation exist when two variables have a linear relationship or are in direct proportion. Therefore, when one variable increases, the other variable generally increases, as well.

By critically observing the scatter plot shown in the image attached above, we can reasonably infer and logically deduce that there is a positive correlation between the x-values and y-values because they both increase simultaneously.

Read more on positive correlation here: brainly.com/question/3753830

#SPJ1

The required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them.

here,
Given that a point B (-4, -5) is reflected across the y-axis, the Coordinate of image B' is to be determined.

Since the coordinate is reflected across the y-axis,
The equation of trasformation is given as,
(x , y) ⇒ (-x , y)

So, the image of B,

B' = (-(-4), -5)

B' = (4, -5)

Thus, the required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

Learn more about transformation here: https://brainly.com/question/18065245
#SPJ1

Answer:

So, if we sell 150 flowers total, we can purchase 100 daisies and 50 roses for exactly $300.

Step-by-step explanation:

Let R be the number of roses and D be the number of daisies.

Now we can set the following equations to represent the cost and the total number of flowers,

Cost equation=3.50R + 1.25D

                       = 300

Number of flowers equation= R + D

                                              = 150

We need to find the number of roses and daisies that we can purchase, as according to question the total number of flowers is 150. To find R, we can put value of  the number of flowers in the equation for R in terms of D, and also put this expression for R in the cost equation,

R = 150 - D

3.50R + 1.25D

= 300

3.50(150 - D) + 1.25D

= 300

525 - 3.50D + 1.25D

= 300

-2.25D = -225

D = 100

Therefore, we can buy 100 daisies and the remaining 50 flowers must be roses.

The cost of 100 daisies is 100 × 1.25

= $125

The cost of 50 roses is 50 × 3.50

= $175.

Therefore, the total cost is $125 + $175

= $300.

So, if we sell 150 flowers total, we can purchase 100 daisies and 50 roses for exactly $300.

Surface area of the solid = 3944

The shape is said to be a rectangular solid. It could be a prism, box, etc

Surface area of rectanular prsim = 2(lh + wh + lw)

length = 28 ft

width = 25 ft

height = 24 ft

Surface area of the solid = 2(28 × 24 + 25 × 24 + 28 × 25)

Surface area of the solid = 2(1972)

Surface area of the solid = 3944

Answer:

7/10

Step-by-step explanation:

Answer:

The choice D.

\( \frac{7}{10} \)

Step-by-step explanation:

\( \frac{8}{15} + \frac{1}{6} \\ \\ \frac{48}{90} + \frac{15}{90} = \frac{63}{90} \\ \\ \frac{63 \div 9}{90 \div 9} = \frac{7}{10} \)

Answer:

Mean = 1.8 times

Standard Deviation = 1.2 Times

Step-by-step explanation:

The period of the function f(t) = 2.3cos(0.25t) is 8π. Hence, the correct answer is d) period 8π.

To determine the period of the function f(t) = 2.3cos(0.25t), we need to consider the coefficient of t inside the cosine function.

In this case, the coefficient is 0.25, which represents the frequency of the cosine function. The period of a cosine function is given by the formula T = 2π/frequency.

Using this formula, we can calculate the period of the function f(t) as follows

T = 2π / 0.25

T = 8π

Therefore, the period of the function f(t) = 2.3cos(0.25t) is 8π.

Hence, the correct answer is d) period 8π.

The period of a function represents the length of one complete cycle or the distance between two consecutive identical points on the graph of the function. In this case, the function is a cosine function, and the period determines how long it takes for the function to repeat its values

The coefficient 0.25 in the function f(t) = 2.3cos(0.25t) affects the frequency of the cosine function. A smaller coefficient results in a slower oscillation, while a larger coefficient leads to a faster oscillation. In this case, since the coefficient is 0.25, it means that the function completes one full cycle within 8π units of time.

Understanding the period of a function is crucial for analyzing its behavior, identifying the frequency of oscillation, and studying its repetitive patterns.

for more such question on function visit

https://brainly.com/question/11624077

#SPJ8

Answer:

35

Step-by-step explanation:

if not correct I'm very very sorry I tried my best for this</3

Answer:

i \(\to\) a

    \(n = 96040000\)

i \(\to\) b

    \(n_1 =24010000\)

i \(\to\) c

    \(n_2 =41602500\)

ii\(\to\)a

     \(E = 58.16\)

ii\(\to\)b

    \(291.84 < \mu < 408.16\)\

ii\(\to\)c

    There is insufficient evidence to conclude that the analyst is right because the population mean fee by the analyst does not fall within the confidence interval

Step-by-step explanation:

From the question we are told that

     The sample size is \(n = 8\)

      The sample mean is  \(\= x = \$ 350\)    

      The sample standard deviation is  \(\$ 100\)

Considering question i

    i \(\to\) a

         At   \(E = 0.02\)  

given that the confidence level is 95%  =  0.95

         the level of significance would be  \(\alpha =1-0.95 = 0.05\)

The critical value of  \(\frac{\alpha }{2}\) from the normal distribution table is  

        \(Z_{\frac{ \alpha }{2} } = 1.96\)

So  the sample size is mathematically evaluated as

            \(n = [ \frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ]^2\)

=>        \(n =[ \frac{ 1.96 * 100}{ 0.02} ]^2\)

=>         \(n = 96040000\)

 i \(\to\) b

  At  \(E_1 = 0.04\)    and  confidence level  = 95%  =>  \(\alpha_1 = 0.05\)   =>  \(Z_{\frac{\alpha_1 }{2} } = 1.96\)

             \(n_1 = [ \frac{Z_{\frac{\alpha_2 }{2} } * \sigma }{E_1} ]^2\)

=>           \(n_1 =[ \frac{ 1.96 * 100}{ 0.04} ]^2\)

=>           \(n_1 =24010000\)

 i \(\to\) c

       At   \(E_2 = 0.04\)     confidence level  = 99%  =>    \(\alpha_2 = 0.01\)

The critical value of  \(\frac{\alpha_2 }{2}\) from the normal distribution table is  

        \(Z_{\frac{ \alpha_2 }{2} } = 2.58\)

=>    \(n_2 = [ \frac{Z_{\frac{\alpha_2 }{2} } * \sigma }{E_2} ]^2\)

=>    \(n_2 =[ \frac{ 2.58 * 100}{ 0.04} ]^2\)

=>    \(n_2 =41602500\)

Considering ii

Given that the level of significance is  \(\alpha = 0.10\)

Then the critical value  of  \(\frac{\alpha }{2}\) from the normal distribution table is  

           \(Z_{\frac{\alpha }{2} } = 1.645\)

Generally the margin of error is mathematically represented as

          \(E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }\)

substituting values

         \(E = 1.645 * \frac{100 }{\sqrt{8} }\)

         \(E = 58.16\)

Generally the 90% confidence interval is mathematically evaluated as

         \(\= x - E < \mu < \= x + E\)

=>      \(350 - 58.16 < \mu < 350 + 58.16\)

=>     \(291.84 < \mu < 408.16\)

So the interpretation is that there is 90% confidence that the mean  fee charged to H&R Block customers last year is in the interval .So there is insufficient evidence to conclude that the analyst is right because the population mean fee by the analyst does not fall within the confidence interval.

\( \textsf{\qquad\qquad\huge\underline{{\sf Answer}}} \)

Let's solve ~

\(\qquad \sf  \dashrightarrow \:(2 {}^{ \frac{2}{x} } ) \sdot(2 {}^{ \frac{4}{x} } ) = 2 {}^{12} \)

\(\qquad \sf  \dashrightarrow \:(2 {}^{ \frac{2}{x} + \frac{4}{x} } ) = 2 {}^{12} \)

\(\qquad \sf  \dashrightarrow \:(2 {}^{ \frac{6}{x} } ) = 2 {}^{12} \)

Now, since the base on both sides are equal, therefore their exponents are equal as well ~

\(\qquad \sf  \dashrightarrow \: \dfrac{6}{x} = 12\)

\(\qquad \sf  \dashrightarrow \:x = \dfrac{6}{12} \)

\(\qquad \sf  \dashrightarrow \:x = \dfrac{1}{2} \)

or

\(\qquad \sf  \dashrightarrow \:x = 0.5\)

Hope you got the required Answer ~

Answer:9/41

SOH = opposite over hypotenuse

Step-by-step explanation:

Answer:

hope this helps, take care and stay safe

Step-by-step explanation:

you can do this by timing 6.5 by 2 which = 13. if you get stuck on questions like this, do the rewind effect, that is when you do the opposite of the question, which is what i did above, you can check this in 2 ways, on a calculator (if of course you are allow) or do the question again by using what you have work out, so 13 divide by 2 = 6.5.

The number 13 is divided by 2 to give the number 6.5.

Used the concept of divide which states that,

The division method is used to distribute a group of things into equal parts. The division is just the opposite of multiplications.

To find the number that is divided by 2 to give the number 6.5

Let us assume that the number = x

Hence, it can be written as,

x ÷ 2 = 6.5

x/2 = 6.5

Multiply both sides 2;

x = 2 × 6.5

x = 13

Therefore, the number of the given condition is 13.

To learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ6

\(~~~~~~~~~~~~\stackrel{\textit{payments at the beginning of the period}}{\textit{Future Value of an annuity due}} \\\\ A=pmt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]\left(1+\frac{r}{n}\right)\)

\(\qquad \begin{cases} A=\textit{accumulated amount} \\ pmt=\textit{periodic payments}\dotfill & 4500\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &10 \end{cases}\)

\(A=4500\left[ \cfrac{\left( 1+\frac{0.04}{1} \right)^{1 \cdot 10}-1}{\frac{0.04}{1}} \right]\left(1+\frac{0.04}{1}\right) \\\\\\ A=4500\left[ \cfrac{(1.04)^{10}-1}{0.04} \right](1.04) \implies A \approx 56188.58\)

so every year you were putting in 4500 bucks, so for 10 years that'd be a total deposits for 4500*10 = 45000, so let's squeeze out the 45000 from the the total, that gives us 56188.58 - 45000 ≈ 11188.58.

so, if we take 56188.58 to be the 100%, what's 11188.58 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 56188.58 & 100\\ 11188.58& x \end{array} \implies \cfrac{56188.58}{11188.58}~~=~~\cfrac{100}{x} \implies 56188.58x=1118858 \\\\\\ x=\cfrac{1118858}{56188.58}\implies x\approx \stackrel{\%}{19.91}\)

The equation is written as x + 25° + 25° = 90°. Then the value of the variable 'x' is 40°.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.

AB and BC are perpendicular lines. Then the equation is given as,

x + 25° + 25° = 90°

x + 50° = 90°

x = 90° - 50°

x = 40°

The equation is written as x + 25° + 25° = 90°. Then the value of the variable 'x' is 40°.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ1

The complete question is given below.

Answer: I believe its:  An equation that can be used to find x is 4x+30.25=52.25, and each game ticket costs $5.50.

Step-by-step explanation:

well, 52.25 - 30.25 is 22$

22 divided by 4 is 5.50

4 times x plus 30.25 is 52.25

so 4x+30.25= 52.25

The critical values for the function are t = 6 , -5.667 where t = 6 makes sense . At t = 6 , y is increasing

According to the question,

After t hours of production, a plant produces an average of y units per hour, according to analysis of its daily output is

y = 102t + 0.5t² - t³ , 0 ≤ t ≤ 10

(a) To calculate critical values for the given function

We have to differentiate it w.r.t time and then have to put y'=0

=> y = 102t + 0.5t² - t³

Derivating w.r.t time

=> y' = 102 + t - 3t²

Equating to zero,

=>  102 + t - 3t² = 0

Solving quadratic equation,

=> t = 6 , -5.667 are critical values

(b) t = 6 makes sense in particular problem because time cannot be negative.

(c) To check increasing value

Derivate y' w.r.t time again

=> y" = 1 - 6t

Putting critical value,

At t = 6

y" < 0 , Therefore at t = 6 function is increasing

Hence , For t = 6 y is increasing

To know more about Critical value here

https://brainly.com/question/29095707

#SPJ4

Answer:

-15

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

got it right

The relationship between the quantities shown in the table is +10. The values in column 2 (y) are obtained by adding 10 to the corresponding values in column 1 (x).

In the given table, the values in column 1 (labeled "x") are 1, 2, 3, and 4. The values in column 2 (labeled "y") are 11, 22, 33, and 44.

To determine the relationship between the quantities in the table, we can compare the values in column 2 (y) with the corresponding values in column 1 (x).

If we subtract each value in column 1 from the corresponding value in column 2, we find that:

11 - 1 = 10

22 - 2 = 20

33 - 3 = 30

44 - 4 = 40

By observing these results, we can see that the difference between each value in column 2 and its corresponding value in column 1 is always 10.

Learn more about table on

https://brainly.com/question/12151322

#SPJ1

Answer:

y = -8

Step-by-step explanation:

2(y-2)- 6y-28 = 0

2y - 4 -6y - 28 = 0

-4y = 32

y = -8

The value of R(x) is - [1-7x]

What is division in algebra?

The four basic arithmetic operations of addition, subtraction, multiplication, and division are used to connect variables and constants in algebraic expressions. The procedure of multiplying and dividing algebraic expressions is the opposite of each other. You can divide algebraic expressions using the long division method, the division of a monomial by another monomial, or the division of a polynomial by another polynomial.

Dividend: The number or value that we divide is known as a dividend.

Divisor: The number that divides the dividend is known as a divisor

Quotient: The result obtained from the division process is known as a quotient

Remainder: The number left over after the division process is known as the remainder.

In the given question;

f(x) is dividend and

d(x) is divisor

Q(x) is the quotient

And we have to find the remainder i.e. R(x)

After dividing \(\frac{4x^3-8x^2+2x-1}{2x+1}\) we get

Q(x) =\(2x^2-5x\)

and R(x) = \(-[1-7x]\)

Learn more about Division in algebra from the link below

https://brainly.com/question/25289437

#SPJ1

Answer: 9/2

Step-by-step explanation:

The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = Initial activity * Decay factor

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = Initial activity - 20 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = Remaining activity * Decay factor

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30

Calculate the remaining volume at 9:30:

Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume

Let's perform the calculations step by step:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = 180 mCi * 0.841 = 151.38 mCi

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = 180 mCi - 20 mCi = 160 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30

Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml

Calculate the remaining volume at 9:30:

Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml

Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

For such more questions on Kit Volume Correction

https://brainly.com/question/22971212

#SPJ8

I'm going to assume the "x" goes after "-1/3"

f(-3) = -1/3(-3) + 13

f(-3) = 1 + 13

f(-3) = 14

Best of Luck!

Answer:

\(5x+11\)

Step-by-step explanation:

Step 1: Distribute

\(3x+6+2x+5\)

Step 2: Add like terms

\(5x+11\) < your answer

Answer:

it's not

Step-by-step explanation:

if you simplify by making the denominators the same (multiplying 9/12 by 6/6 and 4/6 by 12/12), you'll arrive at 54/72 and 48/78. 54 isn't equal to 48