the number of country A forces country B decreased to approximately 34,000 in 2014 from a high of about 10,000 in 2008. the amount of country A funding for country B security forces also decreased during this period. the function \(f(x)= -1.384x^{2} +5.253x+5.517\( can be used to estimate the amount for country A funding for country B security forces. in billions of dollars, x years after January 2007. in what year was the amount for country A funding for country B security forces about $10.5 billion?

Answer:12

Step-by-step explanation:

The prime factorization of 84 is 2×2×3×7 . The prime factorization of 48 is 2×2×2×2×3 . . Therefore, the GCF is 2×2×3=12

Samuels plane arrive will arrive at 10:10 am, in the given algebraic problem.

An algebraic expression is a mathematical expression that uses coefficients, unknown variables, algebraic operations, and constants. However, it is not acceptable to use an equality symbol in an expression.

Mathematical expressions and sentences come in a wide variety. the relationships between equations, numerical expressions, and algebraic expressions.

The difference between 10 am and 6 am

is 4 hours, So the the time he arrives will be a multiple of 50 grater than 4 hours

50x > 4 × 60

50x > 240

x > 240/50

x > 4.8

x = 5 (as 5 is nearest single digit no. to 4.8)

50x = 50 × 5

= 250 minutes

250 mins = 4 hours and 10 mins

6 am  + 4 hours and 10 mins

= 10 hour and 10 min or 10:10 am

Thus, Samuels plane arrive will arrive at 10:10 am, in the given algebraic problem.

Learn more about algebraic expression

https://brainly.com/question/953809

#SPJ1

Answer:

12h4min

Step-by-step explanation:

39 + 25=64

1h=60mins

so 64/60=1 and the remain is 4.

4 is minute and 1 is hour

8 + 3 + 1=12hours

so The Answer is 12hours 4minutes

Answer:

3

Step-by-step explanation:

Let x represent the number.

Create an equation to represent the situation, and solve for x:

9x - 2x = 21

7x = 21

x = 3

So, the number is 3.

Answer:

64cm³

Step-by-step explanation:

( 4 x 4 x 4) cm x cm x cm

Answer:

104.8cm³(1 decimal place)

Step-by-step explanation:

Volume of a cone is given by the formula

V=1/3πr²h

we are given a radius of 5 and a height of 4 so we will just substitute for the values and we will give our pie as 22/7

V=1/3× 22/7×5²×4

V=1/3 × 22/7 ×25 ×4

V=2200/21

V=104.76190476

V=104.8cm³(1decimal place)

pls if you like this answer you can appreciate it by marking it as brainliest

Answer:

1, 3

Step-by-step explanation:

1. 2.3 - 2.3 = 0

2. -3.7 + -4.1 = -7.8

3. -2.6 - (-12/4) = 0.4 = 4/10 = 2/5

4. 5/2 + (-2.5) = 0

5. 72- (-100)

   72+100 = 172

Answer:

2.5

Step-by-step explanation:

the length has increased by 7.5/3 = 2.5.

so the scale factor is 2.5

Answer:

the image shows reduction

Step-by-step explanation:

1.7

Answer:

0.5

Step-by-step explanation:

First divide 1.7 to 3.4 and then you get your answer

Hope this helps :)

Answer:

False

Step-by-step explanation:

The greatest sum of two consecutive even integers would be 200 + 198, or 398

Answer:

its true

Step-by-step explanation:

Functions of these are algebraic expression (f+g)(x) = x² + x-2 and             (f-g)(x) = x² + 5x - 14.  

In mathematics, a functiοn is a rule οr mapping that assοciates each element x in a set (called the dοmain) with a unique element f(x) in anοther set (called the range οr cοdοmain).Fοr example  functiοn f(x) = x² + 3x - 8.

An algebraic expressiοn is a cοntains οf variables, cοnstants, and mathematical οperatiοns such as additiοn, subtractiοn, multiplicatiοn, divisiοn, and expοnentiatiοn. It cantains  parentheses and οther grοuping symbοls tο indicate the οrder in which the οperatiοns shοuld be perfοrmed.

In the given question ,

To find (f+g)(x),

we simply add the two functions f(x) and g(x) term by term:

(f+g)(x) = f(x) + g(x)

= (x² + 3x - 8) + (-2x + 6)

= x²  + (3x - 2x) + (-8 + 6)

= x² + x - 2  

Therefore, (f+g)(x) = x² + x - 2.

To find (f-g)(x), we subtract g(x) from f(x) term by term:

(f-g)(x) = f(x) - g(x)

= (x²  + 3x - 8) - (-2x + 6)

= x²  + (3x + 2x) + (-8 - 6)

= x²  + 5x - 14  

Therefore, (f-g)(x) = x²  + 5x - 14.

To know more about codomain, visit:

brainly.com/question/17513079

#SPJ1

Let be "h" the number of hours Tori should plan to work on it.

You know that she writes an average of 175 per hour. This can be represented with this expresion:

You also know that there must be at least 1,600 words in the essay for her English class. Since she has 235 words written, you can set up the following inequality:

The symbol used in the inequality means "Greater than or equal to".

In order to solve it, you can follow these steps:

1. Subtract 235 from both sides of the inequality:

2. Divide both sides of the inequality by 175:

The answer is:

The differentiable function f with the given properties is \(f(x)=4x^3-3x^2+10\).

What is a differentiable function:

A function with a differentiable value of one real variable is one whose domain contains a derivative. In other words, each interior point in the domain of a differentiable function's graph has a non-vertical tangent line.

The given properties for the differentiable function f are:

\((i) f'(x)=ax^2+bx\\ (ii) f'(1)=6, f''(1)=18\\ (iii) \int\limits^2_1 {f(x)} \, dx =18\)

From (i) we can get \(f''(x)=2ax+b\)

By substituting (ii) in (i) we will get:

a+b=6 and 2a+b=18. By solving these two equations we will get the following:

a=12, b=-6.

We will integrate (i) on both sides, we will get:

\(f(x)=\frac{ax^3}{3} +\frac{bx^2}{2} +c\) where c is the integration constant.

In this equation, we will substitute a,b.

\(f(x)=\frac{12x^3}{3} +\frac{-6x^2}{2} +c\\ \\ f(x)= 4x^3-3x^2+c\)...................(iv)

Now we will substitute (iv) in (iii), and we will get:

\(\int\limits^2_1 {( 4x^3-3x^2+c)} \, dx =18\\ \\ (2^4-2^3+2c)-(1^4-1^3+c)=18\\ \\c=10\)

Therefore \(f(x)=4x^3-3x^2+10\).

Complete question:

Let f be a differentiable function, defined for all real numbers x, with the following properties. Find f(x). Show your work.

\((i) f'(x)=ax^2+bx\\ (ii) f'(1)=6, f''(1)=18\\ (iii) \int\limits^2_1 {f(x)} \, dx =18\)

To learn more about differentiable functions, refer to the link below:

https://brainly.com/question/15406243

#SPJ4

The scale factor that was used to convert triangle ABC into the image in A ' B ' C ' is 1 / 2.

To find the scale factor, you need to find the length of a side of triangle ABC and then the length of the corresponding side in A ' B ' C '.

The side length we will pick is AB which is:

= 6 - 2

= 4 units

The side length of the other triangle is A' B' :

= 3 - 1

= 2 units

The scale factor is:

= 2 / 4

= 1 / 2

Find out more on scale factors at https://brainly.com/question/2826496

#SPJ1

Yes, there are several ways to understand the concept of a limit in calculus without going into the details of a formal proof. One way to understand the concept of a limit is to think of it as a way to measure how close a function gets to a particular value as the input to the function gets closer and closer to a certain number. For example, if we have a function f(x) and we want to find the limit of the function as x approaches 2, we can think of this as asking "how close does f(x) get to a certain number as x gets closer and closer to 2?"

Another way to understand the concept of a limit is to think of it as a way to describe the behavior of a function as the input gets very large or very small. For example, if we have a function f(x) and we want to find the limit of the function as x approaches infinity, we can think of this as asking "how does f(x) behave as x gets very large?"

Overall, the concept of a limit is a fundamental concept in calculus that allows us to describe and analyze the behavior of functions as the input to the function changes. While a formal proof of the limit can be quite complex, there are several intuitive ways to understand the concept without going into the details of the proof.

Answer:

\(a=4.1\)

Step-by-step explanation:

The Law of Cosines is given as:

\(a^2=c^2+b^2-2cb\cos A\).

Plugging in given values, we get:

\(a^2=4^2+2^2-2\cdot 4 \cdot 2\cos 78^{\circ},\\a^2=16+4-16\cos 78^{\circ},\\a^2\approx \sqrt{16.673},\\a\approx \fbox{$4.1$}\).

Answer:

The answer for Acellus people is a=4.1

Step-by-step explanation:

Answer:

All real numbers are solutions.

Step-by-step explanation:

Let's solve your equation step-by-step.

10−4v=−2−4(−3+v)

Step 1: Simplify both sides of the equation.

10−4v=−2−4(−3+v)

10+−4v=−2+(−4)(−3)+(−4)(v)(Distribute)

10+−4v=−2+12+−4v

−4v+10=(−4v)+(−2+12)(Combine Like Terms)

−4v+10=−4v+10

−4v+10=−4v+10

Step 2: Add 4v to both sides.

−4v+10+4v=−4v+10+4v

10=10

Step 3: Subtract 10 from both sides.

10−10=10−10

0=0

Answer:

Centre (5,-1) radius =2

Step-by-step explanation:

(x-5)^2+(y+1)^2=4

The standard equation of the circle is

(X-a)^2+(y-b)^2=r^2

Where a,b is centre of the circle and r is the radius of the circle

Compare the equations

So we get a=5,b=-1 and r=2

Centre (5,-1) radius =2

9514 1404 393

Answer:

  y = 0.2·0.5^x

Step-by-step explanation:

An exponential function is generally of the form ...

  y = a·b^x

where 'a' is the function value when x=0, and b is the ratio between values for x=1 and x=0.

In the given table, y = 0.2 for x = 0, so a = 0.2.

We find that the value for x = 1 is 0.1, so the value of b is ...

  b = 0.1/0.2 = 0.5

Then the exponential function is ...

  y = 0.2·0.5^x

A box-and-whisker plot which represent the given data set is shown in the image attached below.

The five-number summary for the given data set have been listed correctly below.

In Mathematics, a box-and-whisker plot is sometimes referred to as a box plot and it can be defined as a type of chart that is used for the graphical or visual representation of the five-number summary of a data set with respect to locality, skewness, and spread.

By using an online box-and-whisker plot calculator, the five-number summary for the given data set include the following:

By critically observing the box-and-whisker plots (see attachment), we can logically deduce that all of the five-number summary for the given data set are correctly listed.

Read more on box plot here: brainly.com/question/14277132

#SPJ1

Answer:

20.6 cm (im pretty sure lol)

Step-by-step explanation:

sine rule:

(ab = x)

13.5/sin41 = x/sin90

13.5sin90/sin41 = x

x = 20.57741667

ab = 20.6cm

Answer:

x=13

Step-by-step explanation:

50+3x=89

89-50=3x

39=3x

13=x

Answer:

Both Mathematics and English : 25

Step-by-step explanation:

Total students: 100

math pass students: 50

English pass students: 70

both failed: 5

Now,

subject student : Total students-failed

: 100-5

: 95

Passed in both Subject: Math+English- S. S

: 50+70-95

: 25

: The students pass in both subject : 25

Okay, here we have this:

Considering the provided function, we are going to plot five points on the graph and use them to graph the function with the help of a graphing calculator, then we get the following:

To calculate the 5 points we will evaluate the function at x=0, 1, 2, 3 and 4, then we have:

x=0:

x=1:

x=2:

x=3:

x=4:

Finally then we will graph these points and use them to graph the function, and the graph looks like this:

Answer:

3 hours

Step-by-step explanation:

285+55+285+55+285+55=1020

or another way

285+55×3= 1020

If tan Ф = 15/8 then we have these trigonometric functions cosec Ф = 17/15, sec Ф = 17/8 and cot Ф = 8/15.

According to the question,

We have the following information:

Tan Ф = 15/8

We know that in this trigonometric function we have perpendicular divided by base.

Now, we can find the hypotenuse using the Pythagoras theorem:

Let's denote hypotenuse with h, perpendicular with p and base with b.

\(h^{2} =p^{2} +b^{2}\)

\(h^{2}\) = \((15)^{2} +(8)^{2}\)

\(h^{2} = 225+64\\h^{2} = 289\\h = \sqrt{289}\)

h = 17 units

Now, we have the following values:

Cosec Ф = 17/15 (Hypotenuse/perpendicular)

Sec Ф = 17/8 (h/b)

Cos Ф = 8/17 (b/h)

Cot Ф = 8/15 (b/p)

Hence, the correct options are A, B and D.

To know more about trigonometric functions here

https://brainly.com/question/14434745

#SPJ1

Answer:

line 4

Step-by-step explanation:

i just know.

Answer:

31/3

Step-by-step explanation:

31/3*(-33/5) divided by (-1/3)

10/3*(-15/5) *(-1/3)

2/3*(-5)*(-1)

= 10/3

Answer:

m=0

Step-by-step explanation:

the slope is calculated using two points on the line and the formula

m = (y2 - y1) ÷ (x2 - x1)

where

x1 and y1 are the coordinates of point 1

x2 and y2 are the coordinates of point 2

for example, you can take

point 1 = (x1;y1) = (-2;3)

point 2 = (x2;y2) = (-1;3)

then your slope is

m = (3 - 3) ÷ (-1 - (-2)) = 0

notice that x1 is always at the left of x2 on the x axis

and it makes sense that your slope is 0 because for each x your y is the same