PLEASE HELP!!please please

The perimeter of the rhombus WXYZ with points at (-3, 1), (1, 4), (5, 1), (1, -2) is 20 units

An equation is an expression that shows the relationship between two or more variables and numbers.

Rhombus WXYZ has points (-3, 1), (1, 4), (5, 1), (1, -2), hence:

\(WX=XY=YZ=WZ=\sqrt{(1-(-3))^2+(4-1)^2}=5\)

Perimeter = 4(5) = 20 units

The perimeter of the rhombus WXYZ with points at (-3, 1), (1, 4), (5, 1), (1, -2) is 20 units

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Answer:

\(\frac{40}{100}\)

Step-by-step explanation:

You can multiply on the upper and bottom part by the same number without changing the fraction so \(\frac{4}{10}=\frac{4\cdot 10}{10\cdot 10}=\frac{40}{100}\)

Answer:

3m(a-2b)+(a-2b)^2

= 3m(a-2b)+(a-2b)(a-2b)

= (a-2b)(3m+a-2b)

Given:

A circle is centered on point B.

Points A, C and D lie on its circumference.

If \(m\angle ABC\) measures 40°.

To find:

The \(m\angle ADC\).

Solution:

Central angle theorem: According to this theorem, the central angle is equal to the twice of inscribed angle on the same intercepted arc.

In the given figure \(\angle ABC\) is the central angle and \(m\angle ADC\) is the inscribed angle on the same arc AC.

Using central angle theorem, we get

\(m\angle ABC=2m\angle ADC\)

\(40^\circ=2m\angle ADC\)

\(\dfrac{40^\circ}{2}=m\angle ADC\)

\(20^\circ=m\angle ADC\)

Therefore, the measure of angle ADC is 20°.

Answer:

FOR CONNEXUS UNIT 3 LESSON 1 SOLVING SYSTEMS BY GRAPHING 1. C 2. A 3. A 4. A

Step-by-step explanation:

The probability that Marcus has to make the new dish exactly 15 times before it goes on the menu is approximately 0.053. The probability that the investor will double his investment is approximately 0.315.

To find the probability that Marcus has to make the new dish exactly 15 times before it goes on the menu, we need to calculate the probability of exactly 10 successes (perfect executions) out of the first 14 attempts and then the probability of a success on the 15th attempt. Each attempt has an 80% chance of success.

Using the binomial probability formula, the probability of exactly k successes in n attempts, with a success probability p, is given by:

\(P(X = k) = (n choose k) * (p^k) * ((1 - p)^(n - k))\)

In this case, we want to calculate\(P(X = 10) * P(X = 1) = (14 choose 10) * (0.8^10) * (0.2^4) * (0.8^1) = 0.0577 * 0.00016 ≈ 0.0092.\)

Therefore, the probability that Marcus has to make the new dish exactly 15 times before it goes on the menu is approximately 0.0092 or 0.92%.

To calculate the probability that the investor will double his investment, we need to consider the scenario where Marcus attempts the recipe once per day until the meeting. Since he has 6 days left and he has already executed the recipe 5 times successfully, he has 1 remaining attempt.

The probability of a success on the last attempt is 0.8, and the probability of failure is 0.2. Therefore, the probability that the investor will double his investment is P(X = 1) = 0.8.

Hence, the probability that the investor will double his investment is approximately 0.8 or 80%.

The binomial probability formula is used to calculate the probability of obtaining a certain number of successes in a fixed number of independent Bernoulli trials. In this case, Marcus's attempts to execute the recipe can be modeled as a binomial distribution since each attempt has a fixed probability of success (80%) and the attempts are independent. By applying the formula, we can determine the probabilities associated with the number of successes and make informed decisions based on those probabilities.

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Answer:

She spent $5.05 for her total purchase.

Step-by-step explanation:

First, you should convert the fractions into decimals to make it easier, which would make it, 1.5, .25, 1.

Second, multiply 1.5 by 2 because there are 1.5 pounds which are payed for $2.00. Do the others fractions corresponding with the number of pounds and the cost this same way. 1.5 multiplied by 2 is 3. .25 multiplied by 1.60 is 0.4, 1 multiplied by 1.65 is 1.65.

Lastly, Add it all up, 3+0.4+1.65=5.05

Answer:

M

Step-by-step explanation:

The angular velocity of link CD when angle BAD = 60° is 21.16 rad/s.

The given values are:

AD = 150 mm

AB = 40 mm

CD = 80 mm

The crank AB rotates at 120 r.p.m. clockwise.

BC and AD are of equal length.

To find:

The angular velocity of link CD when angle BAD = 60°.

From the given data, we have to first find the value of angle BCD.

Angle BCD can be calculated as follows:

AB = 40 mm

BC = AD

= 150 mm

In ΔABC,

By using Cosine rule;

AC² = AB² + BC² - 2 × AB × BC × Cos ∠ABC∴ AC² = (40)² + (150)² - 2 × 40 × 150 × Cos 180°

∴ AC = 160.6 mm

In ΔBCD,

By using Cosine rule;

BD² = BC² + CD² - 2 × BC × CD × Cos ∠BCD

∴ BD² = (150)² + (80)² - 2 × 150 × 80 × Cos ∠BCD

In ΔABD,By using Cosine rule;

BD² = AB² + AD² - 2 × AB × AD × Cos ∠BAD

∴ BD² = (40)² + (150)² - 2 × 40 × 150 × Cos 60°

∴ BD = 184.06 mm

In ΔABD,By using Sine rule;

AB / Sin ∠BAD = BD / Sin ∠ABD

∴ Sin ∠ABD = BD × Sin ∠BAD / AB

∴ ∠ABD = Sin⁻¹ [BD × Sin ∠BAD / AB]

∴ ∠ABD = Sin⁻¹ [184.06 × Sin 60° / 40]

∴ ∠ABD = 87.2°∠ACD = ∠ABD - ∠ACB

∴ ∠ACD = 87.2° - 180°

∴ ∠ACD = - 92.8°∠BCD

= 180° - ∠ACD

∴ ∠BCD = 180° - (- 92.8°)

∴ ∠BCD = 272.8°

As we know that for four-bar mechanism, we have a formula for finding the angular velocity of link CD.

ωCD / Sin ∠BCD = ωAB / Sin ∠BADωCD / Sin 272.8°

= ωAB / Sin 60°

Substituting the values, ωCD / Sin 272.8° = ωAB / Sin 60°ωCD

= ωAB × Sin 272.8° / Sin 60°

But, ωAB = 2 × π × N / 60

= 2 × π × 120 / 60

= 4 × π rad/s

∴ ωCD = 4 × π × Sin 272.8° / Sin 60°ωCD

= 21.16 rad/s

Therefore, the angular velocity of link CD when angle BAD = 60° is 21.16 rad/s.

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L(t) = (2/3)t + 3, (-1/2)t + 4, t + 2.

The curve of intersection of the cylinders x² + y² = 25 and y² + z² = 20 can be found by setting the two equations equal to each other:

x² + y² = y² + z² = 20

The intersection of the two cylinders is a circle.

To determine the radius of this circle, we use either of the two equations and solve for one variable in terms of the other two:

y² + z² = 20y²

= 20 - z²y

= ±sqrt(20 - z²)

If we substitute this expression for y into the equation x² + y² = 25, we can solve for x in terms of z:

x² + (20 - z²)

= 25x²

= 5 + z²x

= ±sqrt(5 + z²)

Thus, the curve of intersection can be expressed parametrically as follows:

r(t) = (x(t), y(t), z(t)) = (sqrt(5 + t²), sqrt(20 - t²), t)for -2sqrt(5) ≤ t ≤ 2sqrt(5)

At the point (3, 4, 2), t = 2.

To find the tangent vector to the curve at this point, we take the derivative of the position vector:

r'(t) = (x'(t), y'(t), z'(t)) = (t/sqrt(5 + t²), -t/sqrt(20 - t²), 1)

at t = 2:r'(2) = (2/sqrt(9), -2/sqrt(16), 1) = (2/3, -1/2, 1)

Finally, we obtain the vector equation of the tangent line by using the point-normal form of the equation of a line:

L(t) = r(2) + t r'(2)L(t)

     = (3, 4, 2) + t (2/3, -1/2, 1)L(t)

     = (2/3)t + 3, (-1/2)t + 4, t + 2

Therefore, a vector equation for the tangent line to the curve of intersection of the cylinders x² + y² = 25 and y² + z² = 20 at the point (3, 4, 2) is:

L(t) = (2/3)t + 3, (-1/2)t + 4, t + 2.

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Answer:

The answer is (A.)

Step-by-step explanation:

4 x 9 = 36

6 x 9 = 54

8 x 9 = 72

The values of x, y and z in the given Rhombus are

x = -98, y = 36 and z = -97/4.

Given, the figure shown is a rhombus

as, the opposite angles of the rhombus are equal

So, 3y - 1 = 107

3y = 107 + 1

3y = 108

y = 36

and (-x - 8) = (-4z - 7)

x + 8 = 4z + 7

x - 4z = -1

also, the sum of the opposite angles of the rhombus is 180°.

So, (-x - 8) + (-4z - 7) = 180

-x - 4z = 180 + 15

x + 4z = -195

On adding the equations, we get

2x = -196

x = -98

and z = -97/4

Hence, the values of x, y and z are

x = -98, y = 36 and z = -97/4.

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The value of x in the absolute value inequality is given as5 - 10|3x + 3| < 95 is all set of real numbers

The absolute value inequality is given as

5 - 10|3x + 3| < 95

Subtract 5 from all sides of the absolute value inequality

So, we have

- 10|3x + 3| < 90

Multiply -1/10 to all sides of the absolute value inequality

So, we have

|3x + 3| > -9

This means that the value of x is all set of real numbers

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The probability of getting the specific sequence t, h, h, h, h, t, t, t, t, t, t when tossing a coin 11 times is 1/2048.

To find the probability of this specific sequence occurring, we need to use the formula for the probability of a specific sequence of independent events:

P(A and B and C and D and E and F and G and H and I and J and K) = P(A) * P(B) * P(C) * P(D) * P(E) * P(F) * P(G) * P(H) * P(I) * P(J) * P(K)

In this case, A represents the first toss being a tails (t), B represents the second toss being a heads (h), and so on until K represents the eleventh toss being a tails (t).

Using the given sequence, we can calculate the individual probabilities for each toss:

P(A) = 1/2 (since there is a 50/50 chance of getting either heads or tails on the first toss)

P(B) = 1/2 (since there is a 50/50 chance of getting heads on the second toss after getting tails on the first toss)

P(C) = 1/2 (since there is a 50/50 chance of getting heads on the third toss after getting heads on the second toss)

P(D) = 1/2 (since there is a 50/50 chance of getting heads on the fourth toss after getting heads on the third toss)

P(E) = 1/2 (since there is a 50/50 chance of getting heads on the fifth toss after getting heads on the fourth toss)

P(F) = 1/2 (since there is a 50/50 chance of getting tails on the sixth toss after getting heads on the fifth toss)

P(G) = 1/2 (since there is a 50/50 chance of getting tails on the seventh toss after getting tails on the sixth toss)

P(H) = 1/2 (since there is a 50/50 chance of getting tails on the eighth toss after getting tails on the seventh toss)

P(I) = 1/2 (since there is a 50/50 chance of getting tails on the ninth toss after getting tails on the eighth toss)

P(J) = 1/2 (since there is a 50/50 chance of getting tails on the tenth toss after getting tails on the ninth toss)

P(K) = 1/2 (since there is a 50/50 chance of getting tails on the eleventh toss after getting tails on the tenth toss)

Multiplying these probabilities together gives us the probability of getting the sequence t, h, h, h, h, t, t, t, t, t, t:

P(t, h, h, h, h, t, t, t, t, t, t) = (1/2) * (1/2) * (1/2) * (1/2) * (1/2) * (1/2) * (1/2) * (1/2) * (1/2) * (1/2) * (1/2) = 1/2048

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By using the z value, it can be calculated that

P value for upper tail = 0.0455

P value for lower tail = 0.9545

P value for two tail  = 0.091

What is z value?

z value determines the number of standard deviation, the event is above the mean value. That means z value determines the distance of the event from the mean and it is measured in terms of Standard Deviation.

z value = 1.76

From the z table

P value for upper tail = 1 - 0.9545 = 0.0455

P value for lower tail = 0.9545

P value for two tail = 0.0455 \(\times\) 2 = 0.091

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Answer:

198 cm²

Step-by-step explanation:

hope this helps ✔✔

Answer:

answer is 1.1

Step-by-step explanation:

11(1331)

11(121)

11(11)

(1)

10(1000)

10(100)

10(10)

(1)

(11/10*11/10*11/10)^(1/3)

=11/10

=1.1.

Answer:

1.1

Step-by-step explanation:

The odds of selecting a red 9 is 1/26.

Probability of an event E is represented by P(E)  can be defined as (the number of favorable outcomes) / (Total number of outcomes).

Given the total number of cards in a standard deck = 52

there can be  only two red9 as one 9 from heart and one red from diamond.

So the number of outcome for red 9 =2

the probability of odds of selecting red 9 is \(\frac{2}{52}\) which can be further simplified into \(\frac{1}{26}\).

Therefore , The odds of selecting a red 9 is 1/26.

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Answer:

Step-by-step explanation:

x + y = 11

.25x + .05y = 1.15

25x + 5y = 115

-25x - 25y = -275

-20y = -160

y = 8 nickels

x + 8= 11

x = 3 quarters

3 quarters and 8 nickels

Alan can put the 11 books on the shelf, with The Iliad in the first spot and The Odyssey in the last spot, in 9! (362,880) ways

To determine the number of ways Alan can put the 11 books on his bookshelf with The Iliad in the first spot and The Odyssey in the last spot, we can follow these steps:

1. There are 11 spots on the bookshelf, but since The Iliad is in the first spot and The Odyssey is in the last spot, we are left with 9 spots for the remaining 9 books.
2. To arrange the 9 books, we can use the concept of permutations, which refers to the number of ways the books can be ordered.
3. The number of permutations for 9 books is calculated as 9! (9 factorial), which means 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1.

Therefore, Alan can put the 11 books on the shelf, with The Iliad in the first spot and The Odyssey in the last spot, in 9! (362,880) ways.

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Answer:

Step-by-step explanation:

40s + 20c = 740

60s + 25c = 1075

60s = 1110 - 30c

1110 - 30c = 1075 - 25c

1110 - 1075 = 5c

35 = 5c

child tickets = $7

40s + 140 = 740

40s = 600

4s = 60

senior citizen tickets = $15

(a) The GPA for those with verbal SAT scores of 600 is: 3.097

(b) The slope of 0.00362 represents the average change in the college GPA that is associated with a one-unit increase in the verbal SAT score

a. Estimate the average GPA for those with verbal SAT scores of 600.

The regression line relating verbal SAT scores and college GPA for the data exhibited in Figure 3.12 is y = 0.275 + 0.00362x.

The GPA for those with verbal SAT scores of 600 is:

y = 0.275 + 0.00362(600)

= 3.097

b. Explain what the slope of 0.00362 represents in terms of the relationship between GPA and SAT.

The slope of 0.00362 represents the average change in the college GPA that is associated with a one-unit increase in the verbal SAT score

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Answer:

Step-by-step explanation:

No the expression "x+6" does not describe the situation. The expression 6x describes the situation. "x" represents the number of customers in the coffee shop.

Answer:

X= number of people in the coffe shop

Step-by-step explanation:

Hope this helps :)

The value of z is 20 in.

What is triangle?

A polygon that has three sides and three angles is called triangle.

In triangle QWX, we have WX || RS, so by the intercept theorem, we have:

QW/WX = QR/RS

Substituting the given values, we get:

z/(3y) = 20/(20 + y)

Cross-multiplying, we get:

20z + 3y² = 60y

We also know that:

QW + WX = QX

Substituting the given values, we get:

z + 3y = 3y

Simplifying, we get:

z = 0

Substituting this value of z into the equation we derived earlier, we get:

20z + 3y² = 60y

0 + 3y² = 60y

Dividing both sides by 3y, we get:

y = 20

Therefore, the value of z is:

z = QW = QX - WX = 3y - 2y = y = 20

So, z = 20

Therefore required value of z is 20 in.

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585 miles per 9 hours

Step-by-step explanation:

715miles per 11 hours

/11 to determine miles per hour

65 miles per 1 hour

× 9 to determine miles per 9 hours

585 miles per 9 hours

Answer:

Your selected answer is correct.

Step-by-step explanation:

As you can see, the line and the points given follow the same vague path, while the others are below it for the most part, or going the wrong direction.

Answer: Should be 13

Step-by-step explanation:

4 times 4 = 16

3 times 3 = 9
16 plus 9 = 25

the square root of 25 is 5
5 squared is 25

12 squared is 144

144 plus 25 = 169

the square root of 169 = 13

P-Q = 13

Hello

total = 2 x 50c + 2 x 20c + 10c = 150c

150c/2 = 75c

they get each 75c.

The amount of work required to empty the trough by pumping the water over the top is 9800 Joules.

To calculate the amount of work, we need to consider the weight of the water in the trough. The weight of an object is given by the formula weight = mass × gravity, where gravity is the acceleration due to gravity (9.8 m/s^2).

First, we need to find the mass of the water in the trough. The volume of the trough can be calculated as the product of its length, width, and depth, which in this case is 10 m × 1 m × 1 m = 10 m^3. Since the trough is full of water with a density of 1000 kg/m^3, the mass of the water is 10 m^3 × 1000 kg/m^3 = 10,000 kg.

Next, we can calculate the weight of the water by multiplying the mass by the acceleration due to gravity: weight = 10,000 kg × 9.8 m/s^2 = 98,000 N.

Finally, the work required to lift the water over the top of the trough is given by the formula work = force × distance. In this case, the distance is the height of the trough, which is 1 meter. Therefore, the work required is work = 98,000 N × 1 m = 98,000 J (Joules).

Hence, the amount of work required to empty the trough by pumping the water over the top is 98,000 Joules.

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The value of the integral is (81/2) for method 1, (95/2) for method 2, and (375/2) for method 3.

We have,

The integral (xz − y³) dV over the region

E = {(x, y, z) : −1 ≤ x ≤ 3, 0 ≤ y ≤ 2, 0 ≤ z ≤ 6}.

Method 1:

Integrating with respect to x first

∫∫∫ (xz − y^3) dV = ∫0⁶ ∫0² ∫−1³ (xz − y³) dx dy dz

= ∫0⁶ ∫0² [(1/2)x²z − xy³]∣−1³ dy dz

= ∫0⁶ [4z − (27/2)z] dz

= (3/2) ∫0⁶ z dz

= (81/2)

Method 2:

Integrating with respect to y first

In this method, we integrate with respect to y first,

∫∫∫ (xz − y₃) dV = ∫0⁶ ∫−1³ ∫0² (xz − y³) dy dx dz

= ∫0⁶ ∫−1³ [(1/2)xz y² − (1/4)y⁴]∣0² dx dz

= ∫0⁶ [(8/3)xz − (81/4)] dz

= (95/2)

Method 3:

Integrating with respect to z first

∫∫∫ (xz − y³) dV = ∫−1³ ∫0² ∫0⁶ (xz − y³) dz dy dx

= ∫−1³ ∫0² [(1/2)xz² − y³z]∣0⁶ dy dx

= ∫−1³ [(54/2)x − (32/3)] dx

= (375/2)

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Answer:

5000 I think bc 5 times 1000 is 500

Answer:

Step-by-step explanation:

1000 meter = 1 kilometer

1 km= 1000 meter

constant proportionality

y/x=k

y is km , x is meter

1/1000=k

y=1/1000 x (x is the number of meters)

meter                              Km

250                                0.25

12                                   12/1000=0.012

1                                      1/1000

kilometer                      meter

5                                   5000

20                                20000

0.3                               300