i need help with this!

Step-by-step explanation:

[tex]\cos 90 \cos 30 + \sec^2 45 \sin 30 - \cos 270 \sin 180[/tex]

But we know that

[tex]\cos 90 = \cos 270 = \sin 180 = 0[/tex]

and

[tex]\sin 30 = \dfrac{\sqrt{3}}{2} \:\:\text{and}\:\: \sec 45 = \sqrt{2}[/tex]

so this leaves us with just

[tex]\sec^2 45 \sin 30 = (\sqrt{2})^2 \left(\dfrac{\sqrt{3}}{2} \right)= \sqrt{3}[/tex]

Answer:

Step-by-step explanation:

3,969 = 4,000 rounded to nearest hundred

2,811=3,000 rounded to nearest hundred

therefore... the difference is 4,000 - 3,000 = 1,000 kilometers

Answer:1,100

Step-by-step explanation:

rounding 3,969 to the nearest hundreds is 4,000 and rounding 2811 to the nearest hundred is 2900. Now you subtract 4000-2900 = 1100.

Answer:

20/8

=2.5

14×2.5=35

[tex] \frac{20}{8} = \frac{x}{14} \\ x = \frac{20 \times 14}{8} \\ x = \frac{280}{8} \\ x = 35[/tex]

Answer:

x < 30

Step-by-step explanation:

Given the inequality expression that denotes the statement as;

30x+100 < 1000

Subtract 100 from both sides

30x + 100 - 100 <1000 - 100

30x < 900

Divide both sides by 30

30x/30 < 900/30

x < 30

Hence the required solution is x < 30

The number of employee the manager can afford a day is x < 30.

The given parameters:

The inequality of the number of employee the manager can afford a day is calculated as follows;

30x + 100 < 1000

collect similar terms together;

30x < 1000 - 100

30x < 900

divide both sides of the equation by 30;

[tex]x <\frac{900}{30} \\\\x <30[/tex]

Thus, the number of employee the manager can afford a day is x < 30.

Learn more about solution to inequality here: https://brainly.com/question/24372553

Answer:

Solution given:

f(x) = x +1 and g(x) = x²,

now

(gºf)(x) =g(fx)=g(x+1)=(x+1)²

B) (gºf)(x) = (x + 1)^2

Answer:

hey I am not sure about the answer but I guess this is the right answer:

(x+3)+x

Answer:

[tex] - 6x = 3 {x}^{2} + 9 \\ 3 {x}^{2} + 6x + 9 = 0 \\ {x}^{2} + 2x + 3 = 0 \\ so \\ ether \: x = - 2 \\ or \: x = 1 [/tex]

Answer:

If you've more doubts you can ask :)

Step-by-step explanation:

If the centre of a circle is (a, b) and radius r, then the equation of the circle is :

[tex](x - x)^2 + (y-b)^2 = r^2[/tex]

First we will find the centre, (a , b):

[tex]a = \frac{3+(-1)}{2} = \frac{2}{2} = 1\\\\b = \frac{-2 + 4}{2} = \frac{2}{2} = 1[/tex]

Find radius:

[tex]Radius, r = \frac{Diameter}{2}[/tex]

Diameter is the distance between (-1, 4) and (3, -2)

[tex]diameter = \sqrt{(x_2 - x_1)^2 +(y_2-y_1)^2} \\\\[/tex]

             [tex]= \sqrt{(3-(-1)^2 + (-2-4)^2} \\\\=\sqrt{16 + 36}\\\\=\sqrt{52}\\\\=\sqrt{4 \times 13}\\\\=2\sqrt{13} \ units[/tex]

Therefore , [tex]r = \frac{2 \times \sqrt{13} }{2} = \sqrt{13} \ units[/tex]

Equation of the circle is :  

                                 [tex](x - 1)^2 +(y-1)^2 = 13[/tex]

Answer:16 degree is the answer.

Since r and m are parallel:

10x-3=7x+45

3x=48

x=16

9514 1404 393

Answer:

  (x +yi)²

Step-by-step explanation:

Comparing the given expression to the square of a binomial, we can determine the given expression to be a square.

  (a +b)² = a² +2ab +b²

Here, we have a=x and b=yi. Then the factorization is ...

  x² +2xyi +(yi)² = (x +yi)²

Answer:

jane is correct

Step-by-step explanation:

10⁻⁴ can be written as [tex]\frac{1}{10000}[/tex] and as 0.0001

Answer:

The answers are options d and e

Answer:

-5y-12

Step-by-step explanation:

Multiply 6 into 2y

7y-12y-12

-5y-12

Answer:

x = 9 , jk = 42 , kl= 78

Step-by-step explanation:

Explained in the paper.

Goodluck

Answer:

x = 9

Step-by-step explanation:

[tex](4x+6)+(7x+15)=120[/tex]

[tex](4(9)+6)+(7(9)+15)=120[/tex]

[tex](36+6) + (63+15)=120[/tex]

[tex](42)+(78)=120[/tex]

x = 9

JL = 42

KL = 78

Answer:

An interval scale is one where there is order and the difference between two values is meaningful. Examples of interval variables include: temperature (Farenheit), temperature (Celcius), pH, SAT score (200-800), credit score (300-850).

Step-by-step explanation:

thank me later

Answer:

89

Step-by-step explanation:

341 ( total of previous 4 tests)   + 89= 430  

Divide 430 by 5 ( number of tests)

Answer:

F(x) = -1/3 x^2 - 7x + C

i think the correct answer is 2 hours and 10 mins

Answer:

DF = 11

Step-by-step explanation:

From the question given above, the following data were obtained:

EH = 8

HG = 3

EF = DG

DF =?

Since, EF = DG, it also means that EG = DF.

Next we shall determine EG. This can be obtained as follow:

EG = EH + HG

EH = 8

HG = 3

EG = 8 + 3

EG = 11

Finally, we shall determine EF. This is illustrated below:

EG = DF

EG = 11

DF =?

11 = DF

Therefore,

DF = 11

Answer:

0.14545454545 Maybe

Step-by-step explanation:

Answer:

8/55

Step-by-step explanation:

The first thing you need to do is find a common denomintor.

The first denominator is 5, the other is 11.

If you multiply these together, you will get 55. This can not be reduced and still be divisable by 5 and 11, so this is your new denominator.

So for the 3/5 multiply both top and bottom by 11, since thats how many times bigger the denominatir needs to be:

3*11/5*11= 33/55

Then for 5/11 multiply both top and bottom by 5, since thats how many times bigger the denomator is to make 55:

5*5/11*5=25/55

Now we have:

33/55-25/55

When subtracting fractions, you are only subtracting the two numerators, and the denominators are unaffected:

33-25/55=8/55

So 8/55 is your answer.

Hope this helps!

Answer:3.31662479036.

Step-by-step explanation:To find the square root of 11, use the long division method to get the approximate value. Therefore, √11 = 3.31662479036. Register at BYJU'S to learn other interesting mathematical concepts.

Answer:

angle B=74°

Step-by-step explanation:

the shapes are similar

Answer:

The right answer is "605 persons".

Step-by-step explanation:

Given that,

⇒ [tex]\frac{dP}{dt} \alpha P[/tex]

or,

⇒ [tex]\frac{dP}{dt} =RP[/tex]

⇒ [tex]\frac{1}{R} \int\limits^{PT}_{500} {\frac{dP}{P} } = \int\limits^{t}_{0} dt[/tex]

⇒ [tex]\frac{1}{R} [log PT-log500]=t[/tex]

⇒                  [tex]log[\frac{PT}{500} ]=Rt[/tex]

At t = 10 years,

⇒ [tex]PT=\frac{110}{100}\times 500[/tex]

          [tex]=550[/tex]

∴ [tex]log[\frac{550}{500} ]=R\times 10[/tex]

            [tex]R=\frac{log(1.1)}{10}[/tex]

At t = 20,

⇒ [tex]log{\frac{PT}{500} }=\frac{log \ 1.1}{10}\times 20[/tex]

        [tex]PT=500\times (1.1)^2[/tex]

              [tex]=605 \ persons[/tex]

Answer:

[tex]g(h(1011)) = 2010[/tex]

Step-by-step explanation:

Given

[tex]g(x) = x - 4[/tex]

[tex]h(x) =2x - 8[/tex]

Required

[tex]g(h(1011)[/tex]

First, we calculate [tex]g(h(x))[/tex]

[tex]g(x) = x - 4[/tex]

Substitute h(x) for x

[tex]g(h(x)) = h(x) -4[/tex]

Substitute [tex]h(x) =2x - 8[/tex]

[tex]g(h(x)) = 2x - 8 -4[/tex]

[tex]g(h(x)) = 2x -12[/tex]

Substitute 1011 for x

[tex]g(h(1011)) = 2*1011 -12[/tex]

[tex]g(h(1011)) = 2022 -12[/tex]

[tex]g(h(1011)) = 2010[/tex]

Answer:

6

Step-by-step explanation:

just did it on egde 2021

Answer:

it is simple just compare the ratios simple as that

but I will need to know all the formula s

Answer:

1/4

Step-by-step explanation:

4 divide in half so should be 1/4

Answer:

use the arthmetic mean

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

1. The average recovery time for all heart attack patients that the cardiologist has or will treat. = Parameter

2. All heart attack patients that the cardiologist has cared for or will care for in the future = Population.

3. The average recovery time for the 32 heart attack patients = Statistics

4. The 32 heart attack patients who were observed by the cardiologist = Sample

5. The list of all 32 heart attack patients' recovery times = Data

6. The recovery time for a heart attack patient. = Variable

The modified boxplot created for the distribution is boxplot E

Given the values :

25, 34, 46, 37, 33, 42, 40, 37, 34, 49, 73, 46, 45, 45, 5

The outliers in the values are : 5 and 73

Hence, the modified values are :

25, 34, 46, 37, 33, 42, 40, 37, 34, 49 , 46, 45, 45

Using a boxplot maker or excel, we could use the modified data to create a boxplot with the following properties as obtained from the boxplot shown below :

Median value = 40

Minimum = 25

Maximum =  49

First quartile = 34

Third quartile = 45.5

The modified boxplot has no outlier and it corresponds with the boxplot in option E

Learn more : https://brainly.com/question/1523909

Answer:

graph C

Step-by-step explanation: