£24,785,568 is the total budget for cars.the dealership takes 6.5% of this.what is the actual dealership budget (to the nearest £)?​

The circumference of the given circle is 41 cm

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

The circumference of a circle is the boundary length of the circle, it is basically the perimeter of the circle, in degree measure it can not exceed by 360°

Given that, a circle, with diameter, 13 cm, we need to find it circumference.

We know that, the circumference of a circle is given by,

Circumference of the circle = π × diameter

= 3.14 × 13

= 40.82

≈ 41 cm

Hence, the circumference of the given circle is 41 cm

Learn more about circles, click;

https://brainly.com/question/29142813

#SPJ9

Answer:

9.75

Step-by-step explanation:

-25 = -4p + 19

-25 - 19 = -4p

-39 ÷ -4 = p

9.75 = p

Answer:

B, \(\sqrt 156\)

Step-by-step explanation:

B \(\sqrt156 = 12.489996\)

A\(\sqrt144=12\)

C\(\sqrt169=13\)

D\(\sqrt196=14\)

Answer:

Step-by-step explanation:

For all Plato users.

We have to find the sum of the series has been given as.

\(\sum_{k=1}^{8}5(\frac{4}{3} )^{k-1}\) -----(1)

If the series has been given as,

\(\sum_{n=1}^{k}a(r)^{n-1}\) -------(2)

It's a geometric series with first term 'a' and common ratio 'r'.

Comparing both the expressions (1) and (2),

\(a=\) 5

\(r=\frac{4}{3}\)

Number of terms 'n' = 8

Sum of the k terms of this series is given by,

Sum = \(\frac{a(r^k-1)}{r-1}\)

       = \(\frac{5[(\frac{4}{3})^8-1)]}{\frac{4}{3}-1 }\)

       = \(\frac{5(9.98872-1)}{\frac{1}{3}}\)

       = \(\frac{44.9436}{\frac{1}{3} }\)

      = 134.83

Therefore, Option (B) is the correct option.

Learn more,

https://brainly.com/question/21087466

Answer: 4000

Step-by-step explanation:

Answer:

221760

Step-by-step explanation:

You would multiply the numbers.

Answer:

-15, -5, -3, -2.6, 0, 3

Step-by-step explanation:

Answer:

-15,-5,-2.6,0,3

Step-by-step explanation:

negative goes before positive numbers.

The number of squares is 6, the total number of shapes is 12, therefore there are 6 squares out of 12 shapes.

Answer: 1:2. Option B.

\(f(x) = 3^x + \ln x -108 x\\\\f'(x) = 3^x \ln 3 + \dfrac 1x - 108\\\\f''(x) = 3^x \cdot 0+ \ln 3\cdot 3^x\cdot \ln (3)-x^{-1-1}-0= 3^x \cdot \ln^2 3 -x^{-2}\\ \\f'''(x) = 3^x \cdot 0 + \ln^2 (3) \cdot 3^x \cdot \ln (3) +2x^{-2-1} = 3^x \ln^3 (3)+2x^{-3}\\\\f''''(x) = 3^x \cdot 0 + \ln^3 (3) \cdot 3^x \ln(3) -3\cdot 2 x^{-3-1} = 3^x\ln^4 (3)-6x^{-4} \\\\\text{Hence the fourth derivative of f(x) is}~~ 3^x\ln^4 (3)-6x^{-4}.\\\\\)

\(\textbf{Note:}\\\\\dfrac{d}{dx}(uv) = u \dfrac{dv}{dx} + v\dfrac{du}{dx}\\\\\dfrac{d}{dx} \ln (x) = \dfrac 1x\\\\\dfrac{d}{dx} a^x = a^x \ln a\\\\\dfrac{d}{dx} x^n = nx^{n-1}\\\\\dfrac{d}{dx} (\text{Constant}) = 0\)

16 is the number which is one-fifth of a number when one-fourth of that same number is 20.

As per the given data:

One-fourth of the number is resulted to 20.

Here we have to determine the result of one-fifth of the same number from the given options.

An expression for a portion of a whole is a fraction.

For any real numbers, the fractional component of x is defined.

Let the number be X.

One-fourth of a number is 20 which means:

Multiply the one-fourth fraction with an unknown number which results in the number 20.

\($\frac{1}{4}\)  (X) = 20

X = 20 × 4

X = 80

Now we have to determine that one-fifth of the same number.

Multiply the one-fifth fraction by 80.

We get:

= \($\frac{1}{5}\) (80)

= \($\frac{1}{5}\)   × 5 × 16

= 16

One-fifth of the number 80 is 16

Therefore Option (D) - 16 is the correct answer.

For more questions on fractions

https://brainly.com/question/4597974

#SPJ4

Answer:

Step-by-step explanation:

A destroyed angle is called to as a rect-angle.

It's a pun on the "wreck"tangle

The model predicts that there are approximately 0.012456 (71/5700) restaurants per capita in the year 2016

To determine the number of restaurants per capita, we need to divide the number of restaurants (R) by the population (p). Given that R = 6t + 35 and p = 200t + 4500, we can substitute these values into the equation for restaurants per capita.

Restaurants per capita = R / p

Substituting the given equations, we get:

Restaurants per capita = \((6t + 35) / (200t + 4500)\)

To find the number of restaurants per capita for the year 2016, we need to calculate the value of t for that year. Since t represents years after 2010, in 2016, t would be 6 (2016 - 2010 = 6).

Restaurants per capita (2016) = \((6 * 6 + 35) / (200 * 6 + 4500)\)

= \((36 + 35) / (1200 + 4500)\)

= 71 / 5700

This means that, on average, there is roughly one restaurant for every 80 people in the town. Please note that this prediction is based on the given growth equations and assumes a linear relationship between population and the number of restaurants.

for more such questions on equation

https://brainly.com/question/17145398

#SPJ8

Answer:

Step-by-step explanation:

Given that:

Mean μ= 100

standard deviation σ = 2.6

sample size n = 9

sample mean X = 100.6

The null hypothesis and the alternative hypothesis can be computed as follows:

\(H_o : \mu \leq 100\)

\(H_1 :\mu > 100\)

The numerical value for the test statistics is :

\(z = \dfrac{x - \mu}{\dfrac{\sigma}{\sqrt{n}}}\)

\(z = \dfrac{100.6- 100}{\dfrac{2.6}{\sqrt{9}}}\)

\(z = \dfrac{0.6}{0.8667}\)

z = 0.6923

At  ∝ = 0.05

\(t_{\alpha/2 } = 0.025\)

The critical value for the z score = 0.2443

From the z table, area under the curve, the corresponding value which is less than the significant level of 0.05 is 1.64

P- value =  0.244

c> If the true population mean is 101.3 ;

Then:

\(z = \dfrac{x - \mu}{\dfrac{\sigma}{\sqrt{n}}}\)

\(z = \dfrac{101.3- 100.6}{\dfrac{2.6}{\sqrt{9}}}\)

\(z = \dfrac{0.7}{0.8667}\)

z = 0.808

From the normal z tables

P value  =  0.2096

Answer

Edge length of the cube = 1.067 units

Explanation

The volume of a cube of edge length, L units, is given as

Volume = L³

For this question,

Volume = 1.216 cubic units

L = edge length = ?

Volume = L³

1.216 = L³

We can rewrite this

L³ = 1.216

Take the cube root of both sides

∛(L³) = ∛(1.216)

L = 1.067 units

Hope this Helps!!!

The figure is indeed symmetric and the number of lines of symmetry the snowflake has is C. Yes; 6 lines of symmetry.

Generally a snowflake is hexagonal and has 6-way radial symmetry. Thus, one can rotate it 60 degrees (the sixth of full rotation) and it still appears the same.

So, overall, this means that a snowflake holds 6 lines of symmetry which divide it into two identical halves reflecting each other. Consequently, it can be rotated in 60-degree increments and still holds identicality. Akin to this final property, the snowflake artifact possesses six uniquely divided

Find out more on lines of symmetry at https://brainly.com/question/28709515

#SPJ1

Answer:

HUUYY

Step-by-step explanation:

14D

Answer:

x = 2.4

Step-by-step explanation:

4x + 5 / x + 7
combine like terms

X + 4x = 5x

5 + 7= 12

12/ 5x

Divide

12 /5= 2.4

X= 2.4

Answer:

321.75$

Step-by-step explanation:

20% off of 375 is 300

300+7.25% is 321.75

The confidence level in this report of survey of student atheletes concerning their gambling-related behaviors is equals to 87.88%.

The confidence interval when calculated with the two tails methods then it can be used to test the two tail hypothesis for the same parameter provided that the confidence level. We have, National Collegiate Athletic Association (NCAA) take a survey of randomly selected student athletes concerning their gambling-related behaviors.

repoted participation of students, x = 3547

Sample size,n = 5594

Margin of error, E = 1% = 0.01

The sample proportion is a number of successes divided by the sample size, p-cap = 3547/5594

= 0.6341

The margin of error is for a confidence interval for a proportion, which is determined by using the following formula is

\(CL = Zα/₂ \sqrt{ \frac{ \hat{p} \: (1- \hat{p})}{n} }\)

= Zα/₂√(1 - 0.6341)0.6341/5594

= 0.0064 Zα/₂

This margin of error also has to be equal to 1% or

0.0064 Zα/₂ = 0.01

=> Zα/₂ = 0.01/0.0064 ~ 1.55

The confidence level is the probability of obtaining this value or less extreme, determine the probability using z- table,

P(-1.55< Z < 1.55) = P(Z < 1.55) - P(Z < -1.55)

= 0.9394 - 0.0606 = 0.8788 = 87.8

Thus the confidence level is 87.88%.

To learn more about Confidence level, refer:

https://brainly.com/question/28970780

#SPJ4

Answer:

120 different words

Step-by-step explanation:

The max longest word has 4 letters

So the word can consist of 1 letter. The number of such wordds is 3 (A,O or M)

The word can consist also of 2 letters ( letters can be repeated in the word-

the word like AA or MM are possible). The number of such words is 3*3=9

The word can consist also of 3 letters ( letters can be repeated in the word-

the word like AMA or MMM are possible). The number of such words is 3*3*3=27

The word can consist also of 4 letters ( letters can be repeated in the word-

the word like AAAA or MAOM are possible). The number of such words is 3*3*3*3=81

So total number of words is 3+9+27+81=120

Answer:

A horizontal translation of 6 units to the right is shown.

Step-by-step explanation:

When a figure moves A units to the right or left, we have a horizontal translation of A units.

In this question:

The graphic moved 6 units to the right. So a horizontal translation of 6 units to the right is shown.

Answer:

the answer is Horizontal.

Step-by-step explanation:

edge 2021-2022

Answer:

\(y_1 = \left[\begin{array}{ccc}1\\-4\\0\\1\end{array}\right]\)  ,  \(y_2 = \left[\begin{array}{ccc}5\\1\\-6\\-1\end{array}\right]\)

Step-by-step explanation:

\(x_1 = \left[\begin{array}{ccc}1\\-4\\0\\1\end{array}\right]\)    and \(x_2 = \left[\begin{array}{ccc}7\\-7\\-6\\1\end{array}\right]\)

Using Gram-Schmidt process to produce an orthogonal basis for W

\(y_1 = x_1 = \left[\begin{array}{ccc}1\\-4\\0\\1\end{array}\right]\)

Now we know X₁ , X₂ and Y₁

Lets solve for Y₂

\(y_2 = x_2- \frac{x_2*y_1}{y_1*y_1}y_1\)

see attached for the solution of Y₂

Answer:

The answer is "33%".

Step-by-step explanation:

Total customers \(= 20 + 40 + 60 = 120\)

Satisfied customers = 40

Calculating the percent of the responses which indicated the satisfing customers \(= \frac{40}{120}=\frac{4}{12}=\frac{1}{3} = 0.33 = 33\%\)

Answer:

29.12

Step-by-step explanation:

91 ×35/100 =2912/100

so 29.12

Answer:

\(\Large \boxed{\frac{42}{23}}\)

Step-by-step explanation:

\(\displaystyle \frac{21}{40} \div \frac{23}{80}\)

Performing reciprocal of the second fraction.

\(\Rightarrow \displaystyle \frac{21}{40} \cdot \frac{80}{23}\)

Multiplying both fractions.

\(\Rightarrow \displaystyle \frac{1680}{920}\)

Simplifying the fraction.

\(\Rightarrow \displaystyle \frac{42(40)}{23(40)}\)

\(\Rightarrow \displaystyle \frac{42}{23}\)