A budget splits the money available each month between departments A, B and C in the ratio 4:2:3. 1.1 If the total amount available in the budget is R 450 000 for the upcoming month, how much will department B have available?
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Answer:

Step-by-step explanation:

the bars, |   |, mean absolute value

for example, if it was

| -9 |

then it would be 9

if it was

| 9 |

then it would be 9

if it was

| -550 |

it would be 550

you take the number, and if its negative, then it becomes positive

thats it

Answer:

C

Step-by-step explanation:

Line does not go over 1 on the y-axis

Answer:

x = 4

Step-by-step explanation:

<C = <A

25° = 8x - 7

32 = 8x

x = 4

Answer:

8/12

Step-by-step explanation:

Analyzing the information, it is clear that to find the solutions of the problems it is necessary to perform the calculation of mathematical arrangements.

Correspond to a case of permutations, they are groupings that are formed with a number p of elements from a set of n elements. The elements of p must occupy ordered positions, where p ≤ n. The formula is:

So, to solve the problems we do the following calculations:

A) 2^n =

2^8 = 256

B) We must pay attention to the statement, which asks for the minimum number of condiments required to prepare 1000 different sandwiches, so:

2^n [tex]\geq[/tex] 1000

n = 3

2^3 = 8

Find out more about arrangements here:

https://brainly.com/question/6032811

#SPJ1

Answer: 2.556

Step-by-step explanation:

23/9 = 2.5555555555 (endless 5)

round to nearest thousandths... three places from the decimal point.

2.5555... round up since 5 is the number next to the thousandth place.

Answer:

Answer is in attached picture

Step-by-step explanation:

There are no real solutions for the value of 'x'. The two solutions are complex. The fully simplifed answers would be:

x = 4 + 5i*sqrt(7)

x = 4 - 5i*sqrt(7)

Answer:

i can help you

Step-by-step explanation:

mabey its hard for you

Answer:

Option (D) is correct.

Shyla spend $30.94 on the fabrics

Step-by-step explanation:

Shyla has a box with the dimensions of 7 inches, 11 inches, 8 inches. Since it has 3 sides thus, it is form of a cuboid.

Here Length (l) = 7 inches

Breadth (b) = 11 inches

Height (h) = 8 inches

Surface area of Cuboid = 2( lb +bh + hl )

Substitute the values, we get,

Surface area of Cuboid = 2( 7 × 11 + 11× 8 + 7 × 8 )

                                       = 2( 77 +88 +56)

                                       = 422 square inches.

Given: the fabric costs 7 cents per square inch = $0.07 per square inches.

Money  Shyla spend on the fabric = total area × cost of fabric per square inch

                                                      = 442 × 0.07

                                                      = $30.94

Thus,  Shyla spend $30.94 on the fabrics.

So , Option (D) is correct.

Answer:

the line is going 1/1 so y=1x+2

Step-by-step explanation:

y=mx+b

1 is the slope

2 is the intercept of the graph

Answer:

d this is the answer that I got sorry if its wrong

Answer:

8 feet

Step-by-step explanation:

3 + 5 = 8

..................................................

Answer:

[tex]cosC = \frac{\sqrt{161} }{15}[/tex]

Step-by-step explanation:

[tex]cosC = \frac{\sqrt{161} }{15}[/tex]

CosC = adj/hyp

==============================

[tex] \large \sf \underline{Question:}[/tex]

Which expression is another way to write 10,000?

==============================

[tex] \large \sf \underline{Answer:}[/tex]

[tex] \qquad\quad\large \bold{10 \times 10 \times 10 \times 10}[/tex]

==============================

[tex] \large \sf \underline{Solution:}[/tex]

By getting the answer you just multiply 10 directly by 10 until you get what you are looking for;

Hence, proven.

==============================

Answer:

Step-by-step explanation:

10000

Answer:

1,280

Step-by-step explanation:

Answer:

W = ZXY

Step-by-step explanation:

Answer:

[tex]\dfrac{d^2y}{dx^2} = 5e^{3x} \sin (2x)+12e^{3x} \cos (2x)[/tex]

Step-by-step explanation:

[tex]\large \boxed{\begin{minipage}{5 cm}\textsf{\underline{Product Rule}}\\\\$ \textsf{When } \:y=uv\\\\\dfrac{dy}{dx}=u\dfrac{dv}{dx}+v \dfrac{du}{dx}$\\\end{minipage}}[/tex]

Given:

[tex]y=e^{3x} \sin(2x)[/tex]

First Derivative

[tex]\textsf{let } u=e^{3x} \implies \dfrac{du}{dx}=3e^{3x}[/tex]

[tex]\textsf{let } v= \sin(2x) \implies \dfrac{dv}{dx}=2 \cos (2x)[/tex]

Using the Product Rule:

[tex]\begin{aligned}\dfrac{dy}{dx} & =e^{3x}\cdot 2 \cos (2x) + \sin (2x) \cdot 3e^{3x}\\& = 2e^{3x} \cos (2x) + 3e^{3x} \sin (2x)\\& = e^{3x}(2 \cos (2x) + 3 \sin (2x))\end{aligned}[/tex]

Second Derivative

[tex]\textsf{let } u=e^{3x} \implies \dfrac{du}{dx}=3e^{3x}[/tex]

[tex]\textsf{let } v= 2 \cos (2x)+3 \sin (2x) \implies \dfrac{dv}{dx}=-4 \sin (2x) +6 \cos (2x)[/tex]

Using the Product Rule:

[tex]\begin{aligned}\dfrac{d^2y}{dx^2} & =e^{3x}(-4 \sin (2x) +6 \cos (2x)) +3e^{3x} (2 \cos (2x)+3 \sin (2x))\\& = e^{3x}[-4 \sin (2x) +6 \cos (2x)+6 \cos (2x)+9 \sin (2x)]\\& = e^{3x}[5 \sin (2x) +12 \cos (2x)]\\& = 5e^{3x} \sin (2x)+12e^{3x} \cos (2x)\end{aligned}[/tex]

Answer:

[tex] \tt{ \frac{ {d}^{2} y}{d {x}^{2} } = 5 {e}^{3x} \sin(2x) + 12 {e}^{3x} \cos(2x)}[/tex]

Step-by-step explanation:

⠀

⠀

[tex]y = {e}^{3x} \sin(2x) \\ { \sf{To \: find}} \: \frac{ {d}^{2}y }{d {x}^{2} } [/tex]

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⠀

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[tex] \sf using \: \frac{d}{dx} uv = u \frac{d}{dx} v + v \frac{d}{dx} u \: formula[/tex]

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⠀

⠀

[tex] \bold{ \frac{dy}{dx} = {e}^{3x} \frac{d}{dx} \sin(2x) + \sin(2x) \frac{d}{dx} {e}^{3x} } \\ \\ \bold{ \frac{dy}{dx} = {e}^{3x} \cos(2x) \frac{d}{dx} 2x + \sin(2x) {e}^{3x} \frac{d}{dx} 3x}[/tex]

⠀

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[tex] \bold{ \frac{dy}{dx} = {e}^{3x} \times 2 \cos(2x) + \sin(3x) \times 3 {e}^{3x} }[/tex]

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[tex] \bold{ \frac{dy}{dx} = 2 {e}^{3x} \cos(2x) + 3 {e}^{3x} \sin(2x) }[/tex]

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⠀⠀● First solving 2e^3x cos(2x)

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[tex] \bold{ 2( {e}^{3x} \frac{d}{dx} \cos(2x) + \cos(2x) \frac{d}{dx} {e}^{3x}) }[/tex]

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[tex] \bold{2( {e}^{3x} - \sin(2x) \frac{d}{dx} 2x + \cos(2x) {e}^{3x} \frac{d}{dx} 3x)} \\ \\ \bold{ - 4 {e}^{3x} \sin(2x) + 6 {e}^{3x} \cos(2x) }[/tex]

⠀

⠀

⠀⠀● Now solving 3e^3x sin(2x)

⠀

[tex] \bold{ 3( {e}^{3x} \frac{d}{dx} \sin(2x) + \sin(2x) \frac{d}{dx} {e}^{3x} )}[/tex]

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[tex] \bold{ 3( {e}^{3x} \cos(2x) \frac{d}{dx} 2x + \sin(2x) {e}^{3x} \frac{d}{dx} 3x)} \\ \\ \bold{ 6 {e}^{3x} \cos(2x) + 9 {e}^{3x} \sin(2x) }[/tex]

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[tex] \bold{ \frac{ {d}^{2}y }{d {x}^{2} } = - 4 {e}^{3x} \sin(2x) + 6 {e}^{3x} \cos(2x) + 6 {e}^{3x} \cos(2x) + 9 {e}^{3x} \sin(2x) } \\ \\ \bold{ \frac{ {d}^{2} y}{d {x}^{2} } = 5 {e}^{3x} \sin(2x) + 12 {e}^{3x} \cos(2x) }[/tex]

Answer:

I would think 23°

Step-by-step explanation:

I could be wrong but I would think 23° because if I remember correctly they're congruent.

Answer:

-3/4

Step-by-step explanation:

Problem

-1 1/4 + 1/2

Comment

This combined with the number line is to help you visualize how fractions can be represented and how you find their sum.

The rule is move left when the number is minus. Move right when the number is plus.

so -1 1/4 = (4*-1   -1 )/4 = - 5/4

Start at 0 and move left. The number beside - 1 on the number  line is -5/4 Put an arrowhead on the line you just drew. The arrowhead should be just about -5/4.

Each mark on the number line is 1/4 away from the next quarter on the number line.

1/2 = 2/4

So since 1/2 is plus, you move right. You need 2 marks right of -5/4. You will find that is at -3/4

Answer:

In romania I was doing this in the 6th grade

Step-by-step explanation:

5.

A B and D C are parallel lines.

"slope" means inclination. and as you can imagine, parallel lines must have the same inclination, or they would not be parallel.

so, the slope of D C must be also 2/7.

4.

same thing as with 5.

both lines are parallel and must therefore have the same slope.

so, the slope of D C is also 3/4. and the first answer is correct.

Answer:

A

Step-by-step explanation:

Answer:

[tex](y {}^{2} - 3y - 5) - ( - {y}^{2} - 7y + 4) \\ {y}^{2} - 3y - 5 + {y}^{2} + 7y - 4 \\ 2 {y}^{2} + 4y - 9[/tex]

A is the correct answer

Answer:

  a)  £10.50

  b)  £5.40

Step-by-step explanation:

In this context, "of" means "times".

__

  1/4 × £42 = £(42/4) = £10.50

__

  2/5 × £13.50 = £(2·13.50/5) = £(27/5) = £5.40

_____

Additional comment

The symbol "£" is a currency symbol identifying the units of the associated number. For algebraic purposes, any symbol representing units can be treated as though it were a variable.

In this question of means multiplication.

Let us start solve this question

Question 1

[tex] \small\rm{ \dfrac{1}{4} \: of \: £ \: 42}[/tex]

First we will convert whole number into a fraction

(Any number can be converted to fraction if you use 1 as the denominator)

[tex] \small\sf{ \dfrac{1}{4} \: \times \: \dfrac{42}{1}}[/tex]

Now we will multiply the numerators and denominators.

[tex] \small\sf{ \dfrac{42}{4} = £10.50 } [/tex]

Question 2

[tex] \small\rm{\dfrac{2}{5} \: of \: £ \: 13.50}[/tex]

First we will convert whole number into a fraction

[tex] \small\sf{ \dfrac{2}{5} \times \dfrac{13.50}{1} } [/tex]

Now we will multiply the numerators and denominators.

[tex] \small\sf{ \dfrac{27}{5} =£ 5.40 } [/tex]

Answer:

18  miles/hr

Step-by-step explanation:

Mean speed is average speed

is  m/ hr    =   57.6 m /3.2 = 18 miles/hr

Answer:

18

Step-by-step explanation:

Answer:

10-12

Step-by-step explanation:

1.5% of 800 is 12

Step-by-step explanation:

Given that Cooper answered 28 questions correctly and 7 incorrect answers, If the total number of questions is x,

therefore X = 28+7

= 35

R =

[tex] \frac{28}{35} [/tex]

=

[tex] \frac{4}{5} [/tex]

therefore, the ratio is 4:5