Simplify the expression (Picture provided)

Answer:

11/12

Step-by-step explanation:

Final answer:

To find the probability of rolling a sum of 444 or higher with two fair six-sided dice, calculate the sum probabilities for 444, 455, and 466, then add them together.

Explanation:

If you roll two fair six-sided dice, what is the probability that the sum is 444 or higher?

To calculate this probability, we need to first determine the total possible outcomes when rolling two dice and then find the favorable outcomes where the sum is 444 or higher.

The sum can range from 2 to 12 when rolling two dice, so we can find the probabilities for sums 444, 455, and 466, then add these probabilities up to get the final answer.

Answers:

See below  

Step-by-step explanation:

First transformation

Reflection about the line y = 6.

This inter-converted Points A and C and Points B and D.

The coordinate transformations were (Fig. 1):

A: (-8, 8) ⟶ (-8, 4)

B: (-2, 8) ⟶ (-2, 4)

C: (-8, 4) ⟶ (-8, 8)

D: (-2, 4) ⟶ (-2, 8)

Second transformation

Translation 10 units to the right and 14 units down.

The coordinate transformations were (Fig. 2):

A: (-8, 4)  ⟶ (2, -10)

B: (-2, 4)  ⟶ (8, -10)

C: (-8, 8)  ⟶ (2,   -6)

D: (-2, 8) ⟶ (8,    -6)

The transformations were:

m∠H = 50°

∠H is a inscribed angle, and so that the intercepted arc would be twice the amount of the angle.

Arc KI = 100°

Because ∠KGI & ∠HKI share the same arc, the measurement for ∠KGI will be the same as ∠HKI, or 50°

m∠KGI = 50°

Next, find m∠KJI. arcKJI = 2(∠H) = 2(50) = 100

m∠KJI = 100°

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Answer:

Resolved.

Step-by-step explanation:

Answer:

The Answer is B. I had this a few months ago. Good luck with Apex!

Answer:

1/10c^3d^4

Step-by-step explanation:

A cube root is an operation which splits expressions and numbers within it into 3 groups of the exact same size. These groups when multiplied by themselves make the expressions and numbers under the root. For example, ∛27 = 3 since 3*3*3 = 27.

Take each part under the cube root and split it into three equal groups.

1/ 1000 = 1/10 * 1/10 * 1/10 so ∛1/1000 = 1/10

c^9 = c^3*c^3*c^3 so ∛c^9 = c^3

d^12 = d^4*d^4*d^4  so ∛d^12 = d^4

Together ∛1/1000 c^9 d^12 = 1/10 * c^3 * d^4

Answer:

The perimeter would then be squared

Step-by-step explanation:

Since each length is being multiplied by 2 the you have 2 of the same perimeters. So you just add them together or square it.

Answer:

[tex]A=240\ m^{2}[/tex]

Step-by-step explanation:

we know that

A rhombus is a parallelogram with four congruent sides, the diagonals are perpendicular bisectors of each other

The area of a rhombus is equal to

[tex]A=\frac{1}{2}(D1*D2)[/tex]

where

D1 and D2 are the diagonals

In this problem we have

[tex]D1=16\ m[/tex]

Applying the Pythagoras Theorem find D2

[tex]17^{2} =(D2/2)^{2}+(16/2)^{2}[/tex]

[tex](D2/2)^{2}=17^{2}-(16/2)^{2}[/tex]

[tex](D2/2)^{2}=225[/tex]

[tex](D2/2)=15[/tex]

[tex]D2=30\ m[/tex]

Find the area of the rhombus

[tex]A=\frac{1}{2}(16*30)=240\ m^{2}[/tex]

the answer is x=(1/28)y^2

The equation of the parabola with focus at (7, 0) and directrix at x = -7 is x = (1/28)y².

The general equation of a horizontally opening parabola, using the distance between the vertex and the focus or directrix as the value of 'p'.

To find the equation of a parabola with a focus at (7, 0) and a directrix at x = -7, we first note that the vertex of the parabola is midway between the focus and the directrix. This puts the vertex at the origin (0, 0), and the parabola opens to the right since the focus is to the right of the vertex.

The general form of the equation for a parabola that opens horizontally (left or right) is

[tex](y - k)^2 = 4p(x - h)[/tex], where (h, k) is the vertex and p is the distance from the vertex to the focus.

If the parabola opens to the right (as in this case), the equation will be

[tex](y - 0)^2 = 4*(7)(x - 0)[/tex]

y² = 28x.

However, to match the format of the original options given to the student, we divide every term by 28, leading to the equation x = (1/28)y², which is the correct parabolic equation for the given focus and directrix.

62 inchezzzzzzz so 60-4 = 56 --- 56 +6 = 62

Answer:

3 hours and 45 minutes

Step-by-step explanation:

The time to travel 180 miles at an average speed of 48 miles per hour is approximately 3.75 hours. This was calculated using the formula Time = Distance / Speed.

The question is based on time, speed, and distance, all correlating with each other, and to solve, we will use the following frequently used formula:

Time = Distance / Speed

We can substitute the given values into our formula. We know our distance is 180 miles and our speed is 48 miles per hour. So, our equation becomes:

Time = 180 miles / 48 miles per hour

After calculating this equation, we get approximately 3.75 hours.

So, it would take approximately 3.75 hours to travel 180 miles at an average speed of 48 miles per hour.

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Simplify brackets

-7 + 9z + 8(3z - 4)

Expand

-7 + 9z + 24z - 32

Collect like terms

(-7 - 32) + (9z + 24z)

Simplify

-39 + 33z

Regroup terms

= 33z - 39

Answer:

Step-by-step explanation:

You wouldn’t put y over x Which is 15/3 you would divide which gives you five. So your tan theta would be 5

Answer:

it's definitely 3 on odyssey. tan theta= y/x =3.

Step-by-step explanation:

Answer:

a)SSS b)AAS c)SAS d)SSS e)AAS dont worry i passed this lesson with a 100% if i am wrong then come and kill me :) i am sure it is right

Step-by-step explanation:

Final answer:

The rules for triangle congruence based on the given statements are SSS, ASA, SAS, SSS, and AAS, which are applied when certain combinations of angles and sides are congruent in two triangles.

Explanation:

To name the rule for each statement given for triangle congruence, we can apply the following:

a) SSS (Side-Side-Side) Congruence Postulate: Each pair of corresponding sides is congruent.

b) ASA (Angle-Side-Angle) Congruence Postulate: Two pairs of corresponding angles and one pair of corresponding sides are congruent.

c) SAS (Side-Angle-Side) Congruence Theorem: Two pairs of corresponding sides and the angles included between them are congruent.

d) SSS (Side-Side-Side) Congruence Postulate: Three sides of one triangle are congruent to three sides of a second triangle.

e) AAS (Angle-Angle-Side) Congruence Theorem: Two angles and a non-included side of each triangle are congruent.

These rules are foundational in establishing triangle congruence and are applied based on different combinations of sides and angles of triangles.

Answer:1/2 feet

Step-by-step explanation:

6 1/12 - 5 7/12 = 6/12 = 1/2

The radius of convergence of [tex]\sum\limits^{\infty}_{n=0} \frac{(-1)^n(x-6)^n}{4n+1}[/tex] is 1, and the interval notation is (5,7)

The series is given as:

[tex]\sum\limits^{\infty}_{n=0} \frac{(-1)^n(x-6)^n}{4n+1}[/tex]

The ratio test of a series states that:

[tex]L = \lim_{n \to \infty} |\frac{a_{n+1}}{a_n} |[/tex]

By applying the ratio test considering that the series converges, we have:

[tex]\lim_{n \to \infty} | \frac{(-1)^{n+1}(x-6)^{n+1}}{4(n+1)+1} \div \frac{(-1)^n(x-6)^n}{4n+1}|[/tex]

Open the bracket

[tex]\lim_{n \to \infty} | \frac{(-1)^{n+1}(x-6)^{n+1}}{4n+4+1} \div \frac{(-1)^n(x-6)^n}{4n+1}|[/tex]

Evaluate the sum

[tex]\lim_{n \to \infty} | \frac{(-1)^{n+1}(x-6)^{n+1}}{4n+5} \div \frac{(-1)^n(x-6)^n}{4n+1}|[/tex]

Express as product

[tex]\lim_{n \to \infty} | \frac{(-1)^{n+1}(x-6)^{n+1}}{4n+5} \times \frac{4n+1}{(-1)^n(x-6)^n}|[/tex]

Expand the exponents

[tex]\lim_{n \to \infty} | \frac{(-1)^{n} \times (-1)^1 (x-6)^{n} \times (x-6)}{4n+5} \times \frac{4n+1}{(-1)^n(x-6)^n}|[/tex]

Cancel out the common factors

[tex]\lim_{n \to \infty} | \frac{(-1)(x-6)(4n+1)}{4n+5} |[/tex]

Factor out (-1)(x - 6)

[tex]|x-6|\lim_{n \to \infty} | \frac{(4n+1)}{4n+5} |[/tex]

Assume the limit to infinity is 1, the equation becomes

[tex]|x- 6| < 1[/tex] --- condition for convergence series

Split

[tex]-1 < x - 6 < 1[/tex]

Add 6 to both sides

[tex]5 < x < 7[/tex]

Rewrite as interval notation

(5,7)

Hence, the radius of convergence is 1, and the interval notation is (5,7)

Read more about series at:

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The radius of convergence, R, of the given series is 1. The interval of convergence, I, is [7,5). These are found using the Ratio Test to determine where the series converges, and then checking behavior at the endpoints.

To find the radius and interval of convergence of a series, we typically use the Ratio Test, where we consider the limit as n approaches infinity of the absolute value of the ratio of the (n+1)th term to the nth term. If this limit L is less than 1, the series converges absolutely; if it is greater than 1, the series diverges; if it equals 1, the test is inconclusive.

From the given series ∞ (−1)n (x − 6)n (4n + 1)/n, let a(n) be the nth term, so a(n+1) = (−1)^(n+1) (x − 6)^(n+1) (4*(n +1) + 1)/(n+1). Thus, we find |a(n+1)/a(n)| = |(x-6) * (4n+1) / (4n+5)|. In the limit as n approaches infinity, this becomes |x-6|. The series converges where this is less than 1, hence the radius of convergence, R, is 1.

For the interval of convergence, I, we need to check the points x = 7 and x = 5 (the endpoints of the interval centered at 6 with radius 1). Substituting these into the original series, we can use the Alternating Series Test and find the series converges for x = 7 and diverges for x = 5. Hence, the interval of convergence is I = [7,5).

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Answer:

93 1/2 in^2.

Step-by-step explanation:

The Area = 8 1/2 * 11

= 17/ 2* 11

=  187/2

=  93 1/2 in^2.

Answer:

The area of the binder paper is 93 1/2 in^2 :)

Step-by-step explanation:

ANSWER

A. 73

EXPLANATION

The given expression is

[tex](2{x})^{2} - 3{y}^{2} [/tex]

We substitute x=5 and y=3 to obtain:

[tex](2 \times 5)^{2} - 3{(3)}^{2} = {10}^{2} - 3 \times 9[/tex]

This simplifies to,

[tex] = 100 - 27[/tex]

[tex] = 73[/tex]

The correct choice is A.

Your molarity would be 0.975 M HCl because it’s moles of solute divided by liters of solvent

The answer would be 0.975

Answer: option a.

Step-by-step explanation:

By definition, we know that:

[tex]cos^2(\theta)=1-sen^2(\theta)\\\\tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]

Substitute [tex]sin(\theta)=\frac{6}{11}[/tex] into the first equation, solve for the cosine and simplify. Then, you obtain:

[tex]cos(\theta)=\±\sqrt{1-(\frac{6}{11})^2}\\\\cos(\theta)=\±\sqrt{\frac{85}{121}}\\\\ cos(\theta)=\±\frac{\sqrt{85}}{11}[/tex]

As [tex]sec\theta<0[/tex] then [tex]cos\theta<0[/tex]:

[tex]cos(\theta)=-\frac{\sqrt{85}}{11}[/tex]

Now we can find [tex]tan\theta[/tex]:

[tex]tan\theta=\frac{\frac{6}{11}}{-\frac{\sqrt{85}}{11}}\\\\tan\theta=-\frac{6\sqrt{85}}{85}[/tex]

Answer:

a

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

z=(180-124-16)/2

Here is your answer

[tex]<b>z= 20 degrees</b>[/tex]

REASON:

[tex]<font color="blue" size=5>Concept used</font>[/tex]: The sum of adjacent angles of a parallelogram is 180 degrees.

So, in above given figure

[tex] 2z+16+124=180 [/tex] (measures of adjacent angles)

[tex]2z+140=180 [/tex]

[tex] 2z=180-140 [/tex]

[tex]2z=40 [/tex]

[tex]z= 40/2 [/tex]

[tex]z= 20 [/tex]

HOPE IT IS USEFUL

Answer:

28 >= 0.25x > 25

Step-by-step explanation:

25% of x

1) Greater than 25: 25%x > 25

2) Less than and equal to 28: 25%x <= 28

25%x = 25/100 * x = 0.25x

1 and 2:

28 >= 0.25x > 25

//I hope this is what you are looking for. Not sure it's right

Answer:

10.4

Step-by-step explanation:

To get the property's gross income multiplier (GIM), you divide its appraised value by its gross annual rental income.

Rental income = 2 × $1400/1 month × (12 months/1 yr)

= $33 600/yr

GIM = $350 000/$33 600 = 10.4  

The property's GIM is 10.4.

Answer:

52.07

Step-by-step explanation:

We know that the sin of an angle is equal to the opposite side divided by the hypotenuse

sin  51 = opposite side/ hypotenuse

sin 51 = x/67

Multiply each side by 67

67 sin 51 = x

52.06877942=x

To the nearest hundredth

52.07 =x

Answer:

Step-by-step explanation:

cos(a-b)-cos(a+b)=2(sina x sinb)

using formulae of cos (a-b) & cos(a+b)

cos a cos b + sina sinb - cosa cosb + sina sinb=2 sina sinb

2 sina sinb = 2 sina sinb

proved!

Answer:  7

Step-by-step explanation:

The 1st spinner can land on 2, 3, 4, or 5

The 2nd spinner can land on 2 or 3

The 3rd spinner can land on 6, 7, or 8

1st spinner + 2nd spinner + 3rd spinner:

2 + 2 + 6 = 10,    2 + 2 + 7 = 11,     2 + 2 + 8 = 12    --> 3 different sums

2 + 3 + 6 = 11,     2 + 3 + 7 = 12,     2 + 3 + 8 = 13   --> 1 different sum

This pattern follows where the only new sums are as follows:

                                                       3 + 3 + 8 = 14

                                                       4 + 3 + 8 = 15

                                                       5 + 3 + 8 = 16

This makes a total of 7 different sums.

You end up on Point (3, 4)

Answer:

you will end up on (3,4)

Step-by-step explanation:

Answer:

a.12.0 lb; b.0.34 g; c.120 kg

Step-by-step explanation:

To measure weight using the English system of measurements, we use ounces, pounds, tons, etc.

To measure weight using the metric system, we use grams, milligrams, kilograms, etc.

This means that pounds, grams and kilograms are all acceptable representations of weights.

Kilonewtons (kN) measure force, not weight.

Meters and centimeters (m and cm) measure length, not weight.

Answer:

a.12.0 lb

d.1600 N

Step-by-step explanation:

THe weight of objects is the force with which each object is attracted by the gravitational force where they are located, for example on earth gravitational force is equal to 9.81 m/[tex]s^{2}[/tex], so an object that is 1 kg of mass, would have a weight of 9.81 Newtons, pounds are also a measure of force.

Subtract the mean from Jake's score:

520 - 500 = 20

No divide that by the standard deviation:

20/60 = 0.33

This means Jake scored 0.33 standard deviations above the mean.

Now using the Z-table find 0.33:  0.33 = 0.6293 = 62.93% of students scored below Jake.

Rounded to nearest whole number = 63%

Answer:

63% of students

Step-by-step explanation:

Z = (X  -  μ) / σ

Z = 520 - 500 / 60

Z = 0.33

ON THE Z-TABLE

0.33 = 0.6293

62.93%  =  63% of students answer

Answer:

should be A. Two-Solutions

Answer:

C. Each Sandwich has 1/4 pounds of ham

Step-by-step explanation: