Why are there certain question where you multiply to a power and some you don't. Like tree diagrams. This is for probability of compound events.

Step-by-step explanation:

f(x) = x² - 4x - 4

the general formula for solving such a quadratic equation (for f(x) = 0) is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -4

c = -4

x = (4 ± sqrt(4² - 4×1×-4))/(2×1) = (4 ± sqrt(16 + 16))/2 =

= (4 ± sqrt(2×16))/2 = (4 ± 4×sqrt(2))/2 = 2 ± 2×sqrt(2)

x1 = 2 + 2×sqrt(2)

x2 = 2 - 2×sqrt(2)

Answer:

x= 48

Step-by-step explanation:

x+90+42=180

x= 48

please mark brainliest

[tex](1)... \frac{x}{5} = 2 \\ x = 5 \times 2 \\ x = 10 \\ (2).. \frac{a}{3} + 1 = 3 \\ \frac{a + 3}{3} = 3 \\ a + 3 = 9 \\ a = 9 - 3 = 6 \\ (3) \: \: \frac{p}{4} - 1 = 2 \\ \frac{p - 4}{4} = 2 \\ p - 4 = 8 \\ p = 8 + 4 = 12[/tex]

[tex](4) \frac{2x}{5} = 7 \\ 2x = 35 \\ x = \frac{35}{2} = 17.5[/tex]

Answer:

Maria's book was 8 days late

Step-by-step explanation:

According to the information given, you can write an equation that states that 15¢ multiply for the number of days that the book was late plus $2 is equal to $3.20:

0.15x+2= 3.20

x= number of days that the book was late

Now, you have to solve for x:

0.15x= 3.20-2

0.15x= 1.20

x= 1.20/0.15

x= 8

The book was 8 days late.

Answer: 7678687nx09

dad

Step-by-step explanation:

Answer:

x ≤ -2

Step-by-step explanation:

its going towards numbers smaller than negative 2 so its less than. A closed circle dot means it includes the -2 so its less than or equal to

Answer:

the correct answer is -8

Step-by-step explanation:

Raise -2 to the power of 3.

Answer:

Step-by-step explanation:

(-2)*(-2)*(-2) = -8

Explanation:

30 ÷3 of [37-{30÷(13-20+12)}-26]

= 30÷3 × [37-{30÷(25-20)}-26]

= 30÷3 × [ 37-{30÷(5)}-26]

= 30÷ 3 × [37-{30÷5}-26]

= 30÷3 × [ 37 - {6}-26]

= 30÷3 × [ 37-6 - 26]

= 30÷3 × [ 37 - 32]

= 30÷3 × [5]

= 30÷3 ×5

= 30÷15

= 2Ans.

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Answer:

[tex] \rm \: Given,30 ÷3 \: of \: [37-{30÷(13-20+12)}-26][/tex]

[tex] \rm \: The \: operation \: 'of'[/tex]

[tex] \rm \: The \: expressions \: like \: twice \: of,one \: fifth \: of, eight \: percent \: of,the \: meaning \: 'of' \: is \: multiplication \: with.[/tex]

[tex] \rm \: 30 ÷3 \times [37-{30÷(13-20+12)}-26][/tex]

[tex] \rm \: 30 ÷3 \times [37-{30÷(13 + 12 - 20)}-26][/tex]

[tex] \rm30 ÷3 \times [37-{30÷(25-20)}-26][/tex]

[tex] \rm30 ÷3 \times [37-{30÷(5)}-26][/tex]

[tex] \rm \: 30 ÷3 [37-{30÷5}-26][/tex]

[tex]30 ÷3 [37-{6}-26][/tex]

[tex] \rm \: 30 \div 3\times [31 - 26][/tex]

[tex] \rm30 \div 3 \times 5[/tex]

[tex] \rm \: 10 \times 5[/tex]

[tex] \rm \: 50[/tex]

I think this is √2n-5 = 10.

Answer:

$290

Step-by-step explanation:

if minimum wage is $7.25

7.25×40= 290

Answer:

30 minutes

Step-by-step explanation:

Answer:

y=-x+4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(1-6)/(3-(-2))

m=-5/(3+2)

m=-5/5

m=-1

y-y1=m(x-x1)

y-6=-1(x-(-2))

y-6=-(x+2)

y-6=-x-2

y=-x-2+6

y=-x+4

Answer: 11 represents the extra amount of money he gets.

Step-by-step explanation: I say this because for example, the 11 can represent how much money he gets for being present at work. 11 could also represent the extra money he earns.

The best interpretation of the number 11 in the equation is that 11 represents the extra amount of money he gets.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation.

Given data the amount of money M , in dollars, Paul earns can be represented by the equation M=12.5h+11, where h is the number of hours paul works.

Now , M=12.5h+11,

On comparing with striaght line equation we can say that the slope is 12.5

So, number 11 in the equation represents the extra amount of money he gets for being present at work.

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As per question

We shall proceed in graphical way

And

Graph attached

Answer:

See image

Step-by-step explanation:

Compare "like" values to write a proportion (two fractions or ratios set equal to each other) Then you can cross multiply to solve the equation for x

Step-by-step explanation:

Price of 3 kg carrots = 1.80

Price of 1 kg carrots = 1.80 ÷ 3 = 0.6

Price of 2 kg carrots = 0.6 x 2 = 1.2

Remaining amount = 3.45 - 1.2 = 2.25

Price of 5 kg potatoes = 2.25

Price of 1kg potatoes = 2.25 ÷ 5 = 0.45

Now

Cost of 4 kg of carrots = 0.6 x 4 = €2.4

Cost of 2 kg of potatoes = 0.45 x 2 = €0.9

The total cost of 4kg of carrots and 2 kg of potatoes is £3.30

Total cost is the product of the cost of each unit and the number of units purchased.

As it is given that the cost of 3 kg carrot is £1.80, therefore, the cost of 1 kg of carrot can be written as,

[tex]\text{Cost of 1 kg carrot}=\dfrac{\text{Total cost of carrot}}{\text{Total amount of carrot}}[/tex]

                              [tex]=\dfrac{\£1.80}{3}\\\\= \£0.60[/tex]

Thus, the cost of 1 kg carrot is £0.60.

Now., as it is given that the cost of 2 kg carrot and 5 kg potatoes is £3.45, therefore, the cost of 5 kg potatoes can be written as,

[tex]\text{Total cost}=\text{Cost of 2 kg carrot}+\text{Cost of 5 kg potatoes}[/tex]

[tex]3.45= (0.60 \times 2) + \text{Cost of 5 kg Potatoes}\\\\\text{Cost of 5 kg Potatoes} = 2.25[/tex]

Further, the cost of each kg of potatoes can be written as,

[tex]\text{Cost of 1kg of potatoes}=\dfrac{\text{Cost of 5 kg Potatoes}}{\text{Total amount of potatoes}}[/tex]

                                      [tex]=\dfrac{2.25}{5}\\\\=0.45[/tex]

Thus, the cost of each kg of potatoes is £0.45.

Further,  the total cost of 4kg of carrots and 2 kg of potatoes can be written as,

[tex]\text{Total cost }=\text{Cost of 4kg of carrots} +\text{Cost of 2 kg of potatoes} \\\\\text{Total cost }=(4 \times 0.60)+(2\times 0.45)\\\\\text{Total cost }= 2.24+0.90=\£3.3[/tex]

Hence, the total cost of 4kg of carrots and 2 kg of potatoes is £3.30

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Answer:

20(z-7)

Step-by-step explanation:

Answer:

that's my answer in mathematics hope it helps for you

Answer:

she would need to sell 88.6

Step-by-step explanation:

Answer:

A(1) = 5

A(4) = 5.5

A(10) = 6.5

Step-by-step explanation:

An nth term formula works, whether for a arithmetic or geometric sequence, can be used to find any term in a sequence;

Simply substitute the number that corresponds with the position of the term you want to find and the formula will give the value of that term;

So:

A(1) = 5 + ⅙((1) - 1) = 5

A(4) = 5 + ⅙((4) - 1) = 5.5

A(10) = 5 + ⅙((10) - 1) = 6.5

Answer

320

Step-by-step explanation

150 + 10 = 160

160 * 2 because it said than half the amount he received last year = 320!

Answer:

x=1 x=-11

Step-by-step explanation:

first you need to find what two numbers add together to make 10x and multiply together to make 25-

this would be 5

so we can rewrite it as (x+5)(x+5) = 36

which is the same thing as (x+5)^2 =36

then taking the root of both sides we get (x+5)= plus or minus 6

so x=-11 or x equals 1

I could not see the first question so i couldn't answer.

2) Draw a horizontal line and cut it in half with a vertical angle. 4 equal quarters will form. There each quarter is 90° (right angle is exactly 90°angle)

3) Just add the two angles.

x =13+19

x= 32° (Answer)

4) We must know the other angle value in order to find x. So considering both the angles are equal,

2x = 44

x= 22° (Answer)

5) Yes, x = 80° because the line cutted is a straight line and the value of a straight line is 180°

6) Supplementary angles total 180°

Complementary angles total 90°

7)Opposite angles is equal when two straight lines intersect. So,

14x - 16 = 12x + 22

14x-12x=22+16

2x= 38

x= 19° (Answer)

8) Corresponding angles

9) 140°

Answer:

0.05

Step-by-step explanation:

hope this helps! :D

you have a miraculous everybody!! <3

Answer: 0.50

Step-by-step explanation:

The ^-2 means to move the decimal 2 times to the left.

5 * 0.10 = 0.50

Step-by-step explanation:

53 + 28 =81

7-1=6

81:6

÷3 both side

27:2

Lowest form is 27:2

Answer:

see explanation

Step-by-step explanation:

(1)

Using the sine ratio in the right triangle

sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{6}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{4}{6}[/tex] ) ≈ 41.8° ( to the nearest tenth )

(2)

Using the tangent ratio in the right triangle

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{29}{14}[/tex] , then

x = [tex]tan^{-1}[/tex] ([tex]\frac{29}{14}[/tex] ) ≈ 64.2° ( to the nearest tenth )

(3)

Using the cosine ratio in the right triangle

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{25}{40}[/tex] , then

x = [tex]cos^{-1}[/tex] ([tex]\frac{25}{40}[/tex] ) ≈ 51.3° ( to the nearest tenth )

Answer:

27

Step-by-step explanation:

The triangle shown is a right triangle, indicated by the little square at the bottom right. When trying to find the length of a missing leg of a right triangle we can use the Pythagorean theorem.

Pythagorean theorem : a² + b² = c²

Where a and b = legs and c = hypotenuse ( longest side )

We are given the length of the hypotenuse as well as a leg and we need to find the other leg.

Hypotenuse (c) = 45

Leg (a) = 36

To find the length of the other leg we can plug in the given values of the hypotenuse and the leg into the Pythagorean theorem and solve for b

Recall the Pythagorean theorem : a² + b² = c²

a = 36 and c = 45

(36)² + b² = (45)²

simplify exponents : 36² = 1296 and 45² = 2025

1296 + b² = 2025

subtract 1296 from both sides: 1296 - 1296 cancels out and 2025 - 1296 = 729

b² = 729

take the square root of both sides: √(b)² = b and √729 = 27

We're left with b = 27 meaning that the length of the other leg ( or missing side ) is 27

The computation shows that the cost of each bond is A. $3142.50.

From the complete information given, the price of the bond is given as $2856.80 each.

Therefore, with the commission, the price will be:

= $2856.80 + (10% × $2856.80)

= $2856.80 + $285.68

= $3142.50

In conclusion, the cost of each bond is $3142.50.

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Answer:

it's A

Step-by-step explanation:

maybe