Answer the following question :>

Answer:

x = 1 or x = −6

Step-by-step explanation:

Step 1: Subtract 18 from both sides.

3x2+15x−18=18−18

3x2+15x−18=0

Step 2: Factor left side of equation.

3(x−1)(x+6)=0

Step 3: Set factors equal to 0.

x−1=0 or x+6=0

x=1 or x=−6

Answer:

g-6=b

hope this helps

Answer:

23

Step-by-step explanation:

divide -4 by -44 and you get 11, add 12 because 12 was taken away and you get 23. 11+12=23 23-12=11

Answer:

the probability of getting exactly 2 fours is 0.16

Step-by-step explanation:

The probability of obtaining a number that is four = ¹/₆

The probability of obtaining a non 4 number = 1 - ¹/₆ = ⁵/₆

The number of ways 2 fours can be arrange in five numbers = ⁵C₂ = 10 ways

If the die is tossed five times, the probability of the events is calculated as;

P = 10 x (¹/₆)² x (⁵/₆)³

P = 10 x (¹/₃₆) x  (¹²⁵/₂₁₆)

P = 10 x 0.02778 x 0.5787

P = 0.16

Therefore, the probability of getting exactly 2 fours is 0.16

The probability of exactly [tex]2[/tex] four's in [tex]5[/tex] tosses is [tex]0.1608[/tex].

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are to happen, using it.

Let [tex]X[/tex] be the number of fours in [tex]5[/tex] coin tosses.

We have no. of tosses [tex]n=5[/tex].

Probability of a success i.e., getting four [tex](p)=\frac{1}{6}[/tex] and probability of not getting a four [tex](q)=\frac{5}{6}[/tex].

[tex]X[/tex] follows a binomial distribution. So,

[tex]P(X=x)=\binom{n}{x}p^{x}q^{n-x}[/tex]

[tex]\therefore[/tex] the probability of exactly [tex]2[/tex] four's in [tex]5[/tex] tosses is given by,

[tex]P(X=2)=\binom{5}{2}\left ( \frac{1}{6}^{2} \right )\left ( \frac{5}{6} \right )^{3}[/tex]

               [tex]=0.1608[/tex]

Learn more about the topic of Probability: https://brainly.com/question/26959834

Answer:

y = 2x + 8

Step-by-step explanation:

Recall that two parallel lines have the same slope.

Thus, if we begin with y = 2x - 4, we know that this new line through (-1, 6) will also have slope 2.

Starting from the slope-intercept form y = mx + b, we substitute 2 for m, -1 for x and 6 for y:

6 = 2(-1) + b

and solve for the new y-intercept, b:

6 = -2 + b, or

b = 8

Then the new line has the equation y = 2x + 8

Answer:

#2:

To get rid of a radical we multiply the radical by itself, so we multiply [tex]\frac{3}{\sqrt{2}} by \frac{\sqrt{2}}{\sqrt{2}}[/tex]

to get [tex]\frac{3\sqrt{2}}{2}[/tex].

#3:

[tex]\sqrt\frac{2}{5}[/tex] is the same as [tex]\frac{\sqrt{2}}{\sqrt{5}}[/tex] so we multiply by [tex]\frac{\sqrt{5}}{\sqrt{5}}[/tex] so we get [tex]\frac{\sqrt{10}}{5}[/tex].

#4:

We combine like terms to get  [tex]-2\sqrt{2} + 4\sqrt{3}[/tex]

Hope this helps!

Answer:

The decrease from 20 to 11 is 9, and that is 45% of 20.

Hope this helps!

Answer:

532 m ^2

Step-by-step explanation:

18x18 + 1/2x8x 16 + 1/2 x 16 x18

324 + 64+ 144 = 532

Answer:

(−∞,27]

Step-by-step explanation:

Answer:

C) The value is at most 27

Step-by-step explanation:

Answer: [tex]\dfrac{2}{87}[/tex]

Step-by-step explanation:

Given

Lennox marks 30 papers to represent the dates

He has to choose two papers marked 1 to 5 to get the appointment within the first five days of November

This can be done in [tex]^5C_2[/tex] ways

The total no of ways is [tex]^{30}C_2[/tex]

Probability is

[tex]\Rightarrow P=\dfrac{^5C_2}{^{30}C_2}=\dfrac{5\times 4}{30\times 29}\\\\\Rightarrow P=\dfrac{2}{87}[/tex]

9514 1404 393

9514 1404 393

Answer:

  1) (1 1/2)(7/5) = g

  2) (1 1/2)/(5/7) = g

Step-by-step explanation:

1) Tyler has painted 5/7 of the 7/7 of the fence. So the total amount of the fence is (7/7)/(5/7) = 7/5 as much as what was already painted.

The total amount of paint needed is then 7/5 the amount already used:

  g = (7/5)(1 1/2) . . . . . gallons of paint needed for the whole fence

__

2) If g gallons are required for the whole fence, the amount used so far for 5/7 of the fence is 5/7 of the quantity required:

  (5/7)g = 1 1/2

  g = (1 1/2)/(5/7) . . . . division expression for the paint needed

Answer:

[tex] - \frac{146}{5} [/tex]

that the answer

Answer:

50kg

Step-by-step explanation:

25 kg of a 15% salt solution

25kg * 15%

25kg * 15/100 = 3.75 kg

3.75kg * 100/5

3.75 * 20 = 75

Mass of water in kg increased from 25kg to 75kg

75kg - 25kg = 50kg of water must be added.

Answer:

[tex]23^{o}[/tex] and [tex]23^{o}[/tex]

Step-by-step explanation:

An isosceles triangle has two of its sides and angles to be equal. Let each of the unknown equal angles be represented by x. Since one of its angles measures  134°, then;

x + x +  134° = [tex]180^{o}[/tex]

2x + 134° = [tex]180^{o}[/tex]

2x = [tex]180^{o}[/tex] - 134°

    = 46

x = [tex]\frac{46}{2}[/tex]

  = [tex]23^{o}[/tex]

x = [tex]23^{o}[/tex]

The other angles that could be in the isosceles triangle are [tex]23^{o}[/tex] and [tex]23^{o}[/tex].

Answer:

the answer is going to be 0.35 cents to find the answer all you gotta do is divide 4.20 by 12 ☺ ☺ ☺ ☺ ☺

Answer:

Remember that for a triangle rectangle we have the Pythagorean's theorem, it says that the square of the hypotenuse is equal to the sum of the squares of the catheti.

Then if the catheti of a triangle rectangle are A and B, and the hypotenuse is H, we have:

H^2 = A^2 + B^2

In the smaller triangle we can see that:

H = 10

A = 6

Then:

10^2 = 6^2 + B^2

100 = 36 + B^2

100 - 36 = B^2

64 = B^2

√64 = B = 8

And we know that the perimeter of a triangle is equal to the sum of the lengths of it's sides, then the perimeter of the smaller triangle is:

P = 10 + 6 + 8  = 24

Now we know that the triangles are similar and related by a factor of 4/3, then each measurement of the larger triangle will be equivalent to 4/3 times the corresponding measurement of the smaller triangle, then if the measures of the larger triangle are A', B', and H', we can write these as:

A' = (4/3)*A = (4/3)*6 = 8

B' = (4/3)*B = (4/3)*8 = 10.67

H' = (4/3)*H = (4/3)*10 = 13.33

Then the perimeter of the larger triangle is:

P' = 8 + 10.67 + 13.33 = 32

The three main trig functions are sine (written as sin), cosine (written as cos), and tangent (written as tan).

Sine of an angle = the length of the side opposite (aka across) the angle / the length of the hypotenuse

Cosine of an angle = the length of the side adjacent (aka the side next to which isn't the hypotenuse) to the angle / the length of the hypotenuse

Tangent of an angle = the length of the side opposite of the angle / the length of the side adjacent to the angle.

The acronym to remember this is SOHCAHTOA

SOH | CAH | TOA

SOH means sin(x) = opposite/hypotenuse

CAH means cos(x) = adjacent/hypotenuse

TOA means tan(x)= opposite/adjacent

cosB = length of adjacent side/length of hypotenuse = 7/25

tanB = length of opposite/length of adjacent = 24/7

sinB = length of opposite/length of hypotenuse = 24/25

Answer:

the cost is $26

i think ths answer would be help full

Answer:

we know all angles are 90° in the rectangle

therefore, angle d = bdc+bda = 90

=> 31+bda = 90

=>angle bda= 59

The measurement of the angle ADB should be considered as the 59 degrees.

Since we know that all angles in the rectangle should be of 90 degrees

So,

Here angle d = bdc + bda

= 90

Now

31 + bda = 90

So, bda = 90 - 31

= 59

hence, The measurement of the angle ADB should be considered as the 59 degrees.

Learn more about rectangle here: https://brainly.com/question/1916433

Answer:

um 3.5?

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

if I'm understanding the question correctly, that is the answer

Answer:

55m

Step-by-step explanation:

A scale model is a reduced sized of the actual model

If 2m represents 110m, then 1m = 110/2 = 55m

Answer:

[tex] \boxed{ \tt{the \: adult \: giraffe \: is \to \: 14 \: ft}}[/tex]

The height of the giraffe standing near it which casts a shadow of 7 feet is 14 feet.

Scale factor is the ratio of the dimension of the given original object and the dimension of the new object from the original.

Given that,

Actual height of the tree = 18 feet

Height of the shadow = 9 feet

Actual height = 2 × Shadow height

So, here the scale factor is 2.

Given Shadow height of the giraffe = 7 feet

Actual height of the giraffe = 2 ×  height of shadow of the giraffe

                                             = 2 × 7 feet

                                             = 14 feet

Hence the height of the giraffe is 14 feet.

Learn more about Scale Factor here :

https://brainly.com/question/30215119

#SPJ2

Answer:

1.6; 2.4

Step-by-step explanation:

five or more round up

4 or less leave as is

Answer:

The equation is the second one

X^2 =6^2+11^2

X value = 12.53

Answer:

A. 7/14, 2/5, 32%, and .25

Answer:

What is the radius?

Step-by-step explanation: