Solve: 16x2 − 81 = 0

Answer:

Step-by-step explanation:

1. The last step claims the lengths PQ and RQ are the same based on the congruence of triangles SQR and TQP. In order to make that claim, some step in the proof needs to claim that those triangles are congruent. That claim is the missing step:

  ΔSQR ≅ ΔTQP --- ASA congruence postulate

__

2. Without a claim of triangle congruence, the claim of triangle side congruence is unsupported. The proof must contain a claim that the triangles containing corresponding sides PQ and RQ are congruent.

Simplify the numerator and denominator first:

5/8 + 3/4 = 11/8

-2/3 - 5/6 = -3/2

Now you have 11/8 / -3/2

When dividing two fractions change division to multiplication and flip the second fraction over:

11/8 x -2/3 = 11 x -2 / 8 x 3 = -22/24

-22/24 reduces to -11/12

The answer is -11/12

Answer:

901 grams

Hope it helps

Answer:

f = 6y + 3

Step-by-step explanation:

The equation to reflect this condition is:

Where

Answer:

1814400 ways

Step-by-step explanation:

From the question, since it doesn't matter which seat you sit in as long as the neighbors either side of you still remain in the same order, thus;

Number of possible seat arrangements = 10! = 3628800

Now, we know that two seatings are the same when each person has the same two neighbors to the right or left. This simply means that it will be considered the same if the seats are placed around the circular table either clockwise or counter clockwise. With respect to this condition, we have to divide the number of possible seat arrangements by 2.

Thus;

Number of possible ways with the condition in the question = 3628800/2 = 1814400 ways

The above question is not correctly written

Complete Question

The mean lifetime of a tire is 42 months with a variance of 49. If 145 tires are sampled, what is the probability that the mean of the sample would be greater than 42.8 months.

Answer:

0.083793

Step-by-step explanation:

We would be using the z score formula.

z score formula = z = (x - μ)/σ/√n

where

x is the raw score = 42.8

μ is the population mean = 42

σ is the population standard deviation =

In the above question, we were given variance = 49

Standard deviation = √Variance

= √49

= 7

n = number of samples = 145

z score = z = (x - μ)/σ/√n

= (42.8 - 42)/ (7/√145)

= 0.8/ 0.581318359

= 1.37618

Approximately to 2 decimal places= 1.38

Using the z score table to find the probability.

P(x ≤ 42.8) = P(z = 1.38) = 0.91621

P(x>42.8) = 1 - P(x<42.8)

1 - 0.91621

= 0.083793

Therefore, the probability that the mean of the sample would be greater than 42.8 is 0.083793

Answer:

Option is a

Step-by-step explanation:

By checking it by solving

Answer:

14+5x

Step-by-step explanation:

Combine like terms to get:

-10+5x+24=?

then add -10 to 24 to get 14 to get the new simplified equation

14+5x

Hope this helps!

Answer:

5x+14

Step-by-step explanation:

its all about combining like terms. add the -10 and the 24 together, and u get 14. then add the 7x and -2x, and that gives you 5x. and u cant go any further with that, so 5x+14 is your answer

Answer:

Step-by-step explanation:

tan30=oposite/adjucent side

1/1.732=30/adjectent side

adjectent side=30*1.732

adjecent side=51.96m.

Answer:

9.

1/3 has have the same denominator as 9. making that 3/9. 3/9 plus 6/9 equals 9/9 which also equals 1. 6 plus 2 is 8, and 8 plus 1 is 9

Answer:

<A=42°

Step-by-step explanation:

If the exterior of angle C is 126, the interior is 54.

The sum of the other two angles must be 126. (Exterior Angle Theorem)

If B is twice A, we divide 126 into thirds. This is 42.

So A is 42, B is 84, and C is 54.

Answer:

42°

Step-by-step explanation:

An exterior angle is equal to the sum of the opposite interior angles.

A + B = 126

The measure of B is twice the measure of A.

B = 2A

Substitute:

A + 2A = 126

3A = 126

A = 42

Answer:

Step-by-step explanation:

[tex]5h+2\left(11-h\right)=-5\\\mathrm{Expand\:}5h+2\left(11-h\right):\quad 3h+22\\\\3h+22=-5\\\\\mathrm{Subtract\:}22\mathrm{\:from\:both\:sides}\\\\3h+22-22=-5-22\\\\Simplify\\\\3h=-27\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3h}{3}=\frac{-27}{3}\\\\h=-9[/tex]

The value of h is -9.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

5h + 2 (11 - h) = - 5

Remove the parenthesis.

5h + 2 x 11 - 2h = -5

5h + 22 - 2h = -5

Subtract the like terms.

3h + 22 = -5

Subtract 22 on both sides.

3h = - 5 - 22

3h = -27

Divide both sides with 3.

h = -9

Thus,

The value of h is -9.

Learn more about expressions here:

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Answer:

tan C = 3/2

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan C = 3/2

Answer:

C

Step-by-step explanation:

The only way we can get 3/2 as a trigonometric ratio is as

tan c = O/A = 3/2

The rest don't work because sin and cos, uses the hypotenuse. The hypotenuse is 3.61 which is not either of the numbers in the ratio.

Only 2 and 3 work which are not in the hypotenuse.

Answer:

24

Step-by-step explanation:

20+23+25+28=96

96/4

=24

I did it on Khan too! :)

Answer:

Multiply/divide both sides by the same non-zero constant

Step-by-step explanation:

5x = 20

Divide each side by 5

5x/5 = 20/5

x = 4

Answer:

72

Step-by-step explanation:

( 5+ y) + 6x

Let x = 10 and y = 7

( 5+ 7) + 6*10

12 + 60

72

Answer:

92

Step-by-step explanation:

sub in your given numbers

do PEMDAS

Perathasieis (5 + 10) = 50

6(7) = 42

add 50 + 42

you get 90

Answer:

a + 4b - 4

Step-by-step explanation:

Step 1: Write out expression

3a + 4b - 2a + 3 - 7

Step 2: Combine like terms (a)

a + 4b + 3 - 7

Step 3: Combine like terms (constants)

a + 4b - 4

Answer:

1a+4b-4

or

a+4b-4

Step-by-step explanation:

3a-2a= 1a or just a

4b=4b

-7+3= -4

1a+4b-4

or

a+4b-4

Answer:

(a) The critical value of t at P = 0.01 and 15 degrees of freedom is 2.602.

(b) The critical value of t at P = 0.05 and 19 degrees of freedom is -1.729.

(c) The critical value of t at P = 0.025 and 12 degrees of freedom is -2.179 and 2.179.

Step-by-step explanation:

We have to find the critical t values for each of the following levels of significance and sample sizes given below.

As we know that in the t table there are two columns. The horizontal column is represented by the symbol P which represents the level of significance and the vertical column is represented by the symbol '[tex]\nu[/tex]' which represents the degrees of freedom.

(a) A right-tailed test of a population mean at the α=0.01 level of significance with 15 degrees of freedom.

So, here the level of significance = 0.01

And the degrees of freedom = n - 1  = 15

Now, in the t table, the critical value of t at P = 0.01 and 15 degrees of freedom is 2.602.

(b) A left-tailed test of a population mean at the α=0.05 level of significance with a sample size of n = 20.

So, here the level of significance = 0.05

And the degrees of freedom = n - 1  

                                                = 20 - 1 = 19

Now, in the t table, the critical value of t at P = 0.05 and 19 degrees of freedom is -1.729.

(c) A two-tailed test of a population mean at the α=0.05 level of significance with a sample size of n = 13.

So, here the level of significance = [tex]\frac{0.05}{2}[/tex] = 0.025 {for the two-tailed test}

And the degrees of freedom = n - 1  

                                                = 13 - 1 = 12

Now, in the t table, the critical value of t at P = 0.025 and 12 degrees of freedom is -2.179 and 2.179.

Answer:Corresponding parts:

Angles, sides, or vertices of two or more figures that are located in the same position when the figures are aligned.

The term corresponding means that the parts of two or more figures match when turning, flipping or sliding them. In Figure 1, If we turn the object in green  a certain angle, we will get to match both the sided and the angles of these two objects. Therefore, object in red and object in green are corresponding.

Step-by-step explanation:

Answer: 3b-18=9(b-18)

3b-18=9b-162

6b=144

b=24

3b=72

Brandon is 24, Michael is 72.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Our environment is very important to us because it is where we live and share resources with other species. ... Environmental science enlightens us on how to conserve our environment in the face of increasing human population growth and anthropogenic activities that degrade natural resources and ecosystems. hope it help

Answer:

64 softballs

Step-by-step explanation:

Coach Beard currently already has 24 softballs.

When she orders 2 more buckets with 20 in each, that's another 20 + 20 = 40 softballs added to the original 24. So, let's add these two numbers:

24 + 40 = 64

The answer is 64 softballs.

~ an aesthetics lover

Answer:

64 Softballs

Step-by-step explanation:

24+20+20=64

Answer:

Answer B  (1,1), (2,2), (2,5), (5,5)

Step-by-step explanation:

Notice that although the image is not shown, of the given answers, the only points that have coordinates that belong to Quadrant I , are those that show oosittive number for both coordinates (for x and for y). That is  the only possible solution is:

answer B) : (1,1), (2,2), (2,5), (5,5)

Answer: 29x+23

Step-by-step explanation:

In order to find the area of the shaded region, we need to subtract the unshaded region in middle from the large rectangle

-------------

Step 1. Find the area of the large rectangle

A=lw (length × width)

A=(2x+4)(3x+6)

A=6x²+12x+12x+24 ⇔ Use FOIL (First Outer Inner Later)

A=6x²+24x+24

--------

Step 2. Find the area of the unshaded region

A=lw

A=(2x-1)(3x-1)

A=6x²-2x-3x+1 ⇔ Use FOIL

A=6x²-5x+1

-------

Step 3. Subtract unshaded from the large rectangle to get the area of shaded region

A (shade region)=large rectangle-unshaded region

A (shade region)=(6x²+24x+24)-(6x²-5x+1)

A (shade region)=6x²+24x+24-6x²+5x-1 ⇔ get off parenthesis

A (shade region)=6x²-6x²+24x+5x+24-1 ⇔ move the like term together

A (shade region)=29x+23 ⇔ combine like term

Answer:

x=6

Step-by-step explanation:

If you put 11 into y, it is 11=x+5.  In order to find this, you have to subtract 11 by 5 which is 6.  So x=6

Hi there! :)

Answer:

[tex]\huge\boxed{x = 6}[/tex]

y = x + 5 and y = 11

Substitute in 11 for y:

(11) = x + 5

Subtract 5 from both sides:

11 - 5 = x

x = 6.

Answer:

18 square units

Step-by-step explanation:

A square has the following vertices

(−7, −5), (−4, −2), (−4, −8), (−1, −5)

To determine if the are we look for the length of just one of it's sides, because it's a square,all of it's side are equal.

And the are is determined by squaring one of it's sides.

An attachment of the figure is given below to help us know the vertices to use to determine the length.

Length= √ ((-4-(-7))²+(-2-(-5))²)

Length= √((3)²+(3)²)

Length= √(9+9)

Length= √18

So area is the square of the length

Area= (√18)²

Area= 18 square unit

Answer:

D

Step-by-step explanation:

Answer:

13 3 14 14 4 1 21 21 19 4 35 35 9 10

Step-by-step explanation:

Answer:

1.the corresponding angles are propositional

2.the corresponding sides are proportional

The properties of similar triangles  is the corresponding angles are congruent and the corresponding sides are proportional.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio or proportional.

The properties of similar triangles include the following;

1. The corresponding angles are congruent

2. The corresponding sides are proportional

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Answer: The answer would be "then a student earns a B."

Step-by-step explanation: The statement is "A student who earns 85% earns a B." The hypothosis is "If a student earns 85%..." So then the conclusion would be "then a student earns a B."

Answer: then a student gets a b

Step-by-step explanation: no

Answer:

Step-by-step explanation:

On a given day , a particular raccoon will eat the trash from one of three different houses.

Let assume [tex]Y_n[/tex] be a random variable that illustrating  the house raccoon will eat on an unknown given nth day.

If he eats from the trash of a particular house, he has a 50% chance to eat from the same house the next day, and a 25% chance each to eat from one of the other two houses.

There are three states given in the above statement.

So, we can have state 1, state 2 and state 3

Assuming that:

state 1 = house 1

state 2 = house 2

state 3 = house 2

If he eats from the trash of a particular house,

For state 1 : he has a 50% chance to eat from the same house the next day

i.e state 1 = 0.50

and a 25% chance each to eat from one of the other two houses.

For state 2 and state 3: = 0.25

i.e state 2 = 0.25

state 3 = 0.25

NOW:

[tex]\mathtt{P[Y_{n+1 }= 0 \ | \ Y_n = 0] = 0.5}[/tex]

[tex]\mathtt{P[Y_{n+1 }= 1 \ | \ Y_n = 0] = 0.25}[/tex]

[tex]\mathtt{P[Y_{n+2}= 2 \ | \ Y_n = 0] = 0.25}[/tex]

[tex]\mathtt{P[Y_{n+1 }= 0 \ | \ Y_n = 1] = 0.25}[/tex]

[tex]\mathtt{P[Y_{n+1 }= 1 \ | \ Y_n = 1] = 0.5}[/tex]

[tex]\mathtt{P[Y_{n+1 }= 2 \ | \ Y_n = 1] = 0.25}[/tex]

[tex]\mathtt{P[Y_{n+1 }= 0 \ | \ Y_n = 2] = 0.25}[/tex]

[tex]\mathtt{P[Y_{n+1 }= 1 \ | \ Y_n = 2] = 0.25}[/tex]

[tex]\mathtt{P[Y_{n+1 }= 2 \ | \ Y_n = 2] = 0.5}[/tex]

The stochastic matrix for this scenario can be computed as:

                  0          1       2

[tex]P = \left\begin{array}{c}0\\1\\2\end{array}\right \left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right][/tex]

[tex]\mathbf{ P =\left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right] }[/tex]