POSSIBLE POINTS: 20
A prestigious program accepts 2 out of every 9 applicants per yer. If the program accepted 360 applicants, how many applicants were NOT accepted?
A.1260
B.1620
C.2520
D.3240
E.3600

Answer:

(4,0)

Step-by-step explanation:

i believe you may have answered your own question with this one. on a graph, you'll be looking for a point that lines up with 4 on the x (horizontal) axis, and lines up with 0 on the y (vertical) axis.

good luck! :)

Answer:

4 up, near the origin

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

x+1=11

Answer:

X-10

Step-by-step explanation:

3(x+1)=33

3x+3=33

3x+3-3=33-3

3x=30

x=10

The simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

To simplify the given expression, let's evaluate the square roots individually and then perform the addition.

√900 = 30, since the square root of 900 is 30.

√0.09 = 0.3, as the square root of 0.09 is 0.3.

√0.000009 = 0.003, since the square root of 0.000009 is 0.003.

Now, we can add these simplified values together

√900 + √0.09 + √0.000009 = 30 + 0.3 + 0.003 = 30.303

Therefore, the simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

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The angle relative to the positive direction of the x-axis is approximately 97.05 degrees. The x-component of the velocity is 7.96 m/s and the y-component of the velocity is approximately -67.8616 m/s.

(a) To find the x-component of the velocity, we need to differentiate the x-coordinate of the position vector with respect to time. The x-component of the velocity (vx) can be found as follows:

vx = dx/dt = 7.96i

Therefore, the x-component of the velocity is 7.96 m/s.

(b) To find the y-component of the velocity, we differentiate the y-coordinate of the position vector with respect to time. The y-component of the velocity (vy) can be calculated as follows:

vy = dy/dt = -14.86tj

Substituting t = 4.56 s into the equation, we get:

vy = -14.86 * 4.56 j ≈ -67.8616 j

Therefore, the y-component of the velocity is approximately -67.8616 m/s.

(c) The magnitude of the velocity (v) can be calculated using the formula:

|v| = √(vx^2 + vy^2)

Substituting the values we found in parts (a) and (b), we have:

|v| = √((7.96)^2 + (-67.8616)^2)

   ≈ √(63.3616 + 4591.7312)

   ≈ √4655.0928

   ≈ 68.18 m/s

Therefore, the magnitude of the velocity is approximately 68.18 m/s.

(d) The angle (θ) relative to the positive direction of the x-axis can be found using the formula:

θ = arctan(vy/vx)

Substituting the values we found in parts (a) and (b), we have:

θ = arctan((-67.8616)/(7.96))

   ≈ arctan(-8.53)

   ≈ -82.95 degrees

Since the angle needs to be in the range (-180°, 180°], we add 180° to obtain the final angle:

θ ≈ -82.95 + 180

  ≈ 97.05 degrees

Therefore, the angle relative to the positive direction of the x-axis is approximately 97.05 degrees.

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The length of segment A'E'  under a dilation with a scale factor of 3/4 is; 3/2 units.

From the included graph the coordinates of the points A and E, in the pentagon ABCDE with reference to point A are;

A: (0, 0)

E: (0, 2)

The length of the segment AE = √((2 - 0)² + (0 - 0)²) = √(2²) = 2

When a pentagon ABCDE is dilated to pentagon A'B'C'D'E' with a scale factor of 3/4, we have;

Length of segment A'E' = 3/4 × Length of segment AE

Therefore;

Length of segment A'E' = 3/4 × 2 = 3/2  units.

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Answer:

45 is the anwser

Step-by-step explanation:

thank you

Answer:

No mode

Step-by-step explanation:

There are no any numbers which are repeated. So there is no mode.

Answer:

The answer is C.no mode because the mode of a data set is the number that occurs most frequently in the set. To easily find the mode, but the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!

Answer:

please see explanation.

Step-by-step explanation:

2268×2=4536

2268×3=6804

2268×4=9072

2268x5=11340

2268×6=13608

2268×7=15876

from the computation 15848 is a perfect square

√15848= 126

to calculate the 126= ✓126=11.225

Answer:

3⃣(1⃣2⃣5⃣-6⃣4⃣)

Answer: A good way to get a small standard error is to use a large sample.

Step-by-step explanation:

In order to find the small standard error, there is always need of a complete set which is called the large sample.

If tried to do a small or repeating sample, you will most likely not get an error and you could get a repetition. If you do a population sample, you wont get accurate results at all.

Therefore, a good way to get a small standard error is to use a large sample. Hope this helps!

-From a 5th Grade Honors Student

Hello!

\(\bf y = ( x + 3 )^{2} - 5 \)

- Separate the function into parts to determine the domain of each part.

\(\bf ( x + 3 )^{2} \\ x + 3 \\ 5 \)

- The domain of a polynomial function is the set of all real numbers.

\(\bf x ∈ ℝ \)

Domain: ( -∞; ∞ )

\(\bf y = ( x + 3 )^{2} - 5 \)

- Write the second degree function in standard form.

\(\bf y = x^{2} + 6x + 4 \)

- Identifies the coefficients a and b of the second degree function.

\(\bf a = 1, b = 6 \)

- Find the x coordinate of the vertex by substituting a = 1 and b = 6 in x = -b / 2a.

\(\bf x = -\frac{6}{2×1} \)

\(\bf x = -\frac{6}{2} \)

\(\bf x = -3 \)

- Calculates the value of the function for x = -3.

\(\bf y = ( x + 3 )^{2} - 5 \)

\(\bf y = -5 \)

Range: ( -3; -5 )

Answer: No answer

Good luck! :)

The number of milliliters of acetaminophen for a 55 kg child is 11 ml

Since a Pediatricians prescribe 7 milliliters (ml) of acetaminophen for every 35 pounds of a child's weight, we desire to find how many milliliters of acetaminophen will the doctor prescribe for Jocelyn, who weighs 55 pounds.

First, we need to find the number of milliliters of acetaminophen per pound of child, n

n = number of milliliters, L/mass of child, m

Since

So, substituting the values of the variables into the equation, we have

n = L/m

= 7 ml/35 lb

= 1/ml/5 lb

= 0.2 ml/lb

Since we require the number of milliters of acetaminophen required for a 55 pound child.

Since n = L/m

L = mn

Given that

So, susbstituting the values of the variables into the equation, we have

L = mn

= 55 lb × 0.2 ml/lb

= 11 ml

So, the number of milliliters is 11 ml

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Answer:

x=-6

Step-by-step explanation:

5x+3=−27

Subtract 3 from both sides.

5x=−27−3

Subtract 3 from −27

5x=−30

Divide both sides by 5.

x=30/5

Divide −30 by 5

x=−6

Answer: -6

Step-by-step explanation:

  3+5x=-27

3+5x-3=-27-3 ⇔ subtraction property of equality

      5x=-30 ⇔ simplify

  5x/5=-30/5 ⇔ division property of equality

        x=-6 ⇔ answer

Hope this helps!! :)

The correct option is C: Cluster around a horizontal line when graphed are distributed equally along both axes.

A level within a phase is defined as a set of observations that cluster around a horizontal line when graphed. This means that the data points tend to remain relatively constant or steady during that particular phase.

When plotted on a graph, these observations form a horizontal line, indicating little variation or change. This stability implies that the system or process being observed is in a balanced state, with minimal fluctuations or disturbances.

The horizontal line represents a steady state, indicating that the system or process being observed is maintaining a consistent level without significant fluctuations or trends.

A stable level is characterized by a consistent and predictable pattern, which can be useful in analyzing and understanding the behavior of the system or process over time.

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we can say that the teacher's gοal οf a standard deviatiοn οf at mοst 8 pοints was achieved, at a 5% level οf significance.

A measure οf a grοup οf values' variance οr dispersiοn in statistics is called the standard deviatiοn. When the standard deviatiοn is lοw, the values are mοre likely tο fall within a narrοw range, alsο knοwn as the expected value, whereas when the standard deviatiοn is high, the values tend tο be clοser tο the mean.

The lοwercase Greek letter sigma, which stands fοr the pοpulatiοn standard deviatiοn, οr the Latin letter s, which stands fοr the sample standard deviatiοn, are mοst frequently used in mathematical equatiοns and texts tο represent standard deviatiοn. Standard deviatiοn is alsο sοmetimes referred tο as SD.

suppοse that οn a 100-pοint test, the teacher's gοal is fοr her students' exam scοres tο have a standard deviatiοn οf at mοst 8 pοints.

chi²\(= (n-1)*s^2 /\sigma^2\)

where n is the sample size, s is the sample standard deviatiοn, and sigma is the hypοthesized pοpulatiοn standard deviatiοn under the null hypοthesis.

In this case, n = 25, s = 9.5, and sigma = 8. Substituting these values, we get:

chi² \(= (25-1)*9.5^2 / 8^2 = 33.64\)

The degrees οf freedοm fοr this test is n-1 = 24. Using a chi-squared table with 24 degrees οf freedοm, we find that the critical value fοr a οne-tailed test at a 5% level οf significance is 36.42.

Therefοre, we can say that the teacher's gοal οf a standard deviatiοn οf at mοst 8 pοints was achieved, at a 5% level οf significance.

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Answer:

54.07

Step-by-step explanation:

Answer:

The slope is 2.

Step-by-step explanation:

If you use the formula that is shown in the picture, you can calculate that 12-4/6-2 is the slope. If you simplify, you'll get that 8/4 is the slope which simplifies to 2.

In triangle ABC, we are given that angle C is a right angle, which means it measures 90°. We also know that angle B is 36°12′, and side c has a length of 0.6209 m. Our goal is to find the measures of angle A and the lengths of sides a and b.

Using the fact that the sum of angles in a triangle is 180°, we can find angle A:

A + B + C = 180°

A = 180° - B - C = 180° - 36°12′ - 90° = 53°48′

Now, we can apply the trigonometric ratios in the right-angled triangle ABC. The ratios are defined as follows:

Sine (sin) = Opposite / Hypotenuse

Cosine (cos) = Adjacent / Hypotenuse

Tangent (tan) = Opposite / Adjacent

Using the given values, we can determine the lengths of sides a and b:

Sine ratio:

sin B = a / c

Substituting the known values, we find:

sin 36°12′ = a / 0.6209

a = 0.6209 x sin 36°12′ = 0.3774 m

Cosine ratio:

cos B = b / c

Substituting the known values, we find:

cos 36°12′ = b / 0.6209

b = 0.6209 x cos 36°12′ = 0.5039 m

Tangent ratio:

tan B = a / b

Substituting the values of a and b, we find:

tan 36°12′ = 0.3774 / 0.5039 = 0.7499

Therefore, the lengths of sides a and b are approximately 0.3774 m and 0.5039 m, respectively. Angle A measures 53°48′, angle B measures 36°12′, and angle C is the right angle.

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Answer:

ready-steady paint

Step-by-step explanation:

if he needs 12 tins, and purchased from paint -O  mine, he would spend (12/3) X 7.50 = 4 x 7.50 = £30

from ready steady, he can buy 4 for £11. he needs 12.

so he will spend (12/4) X 11 = 3 X 11 = £33. but he can get 15% off. 15% off is the same as multiplying by 0.85.

33 X 0.85 = £28.05.

so he his better purchasing from ready steady paint

Answer:  

shaded Area hexagon = Around 281 squared feet

shaded area square  24 squared inches

Step-by-step explanation:

regular hexagon is made up of 6 equilateral triangles. All sides are equal

The formula for finding the area of a hexagon is Area = (3√3 s2)/ 2 where s is the length of a side of the regular hexagon.

Side big hexagon = 12

side small hexagon = 6

BIG    A=  (3√3 144)/ 2 =   374.1230...

small  (3√3 36)/ 2 = 93.5307...

shaded = BIG minus small

374.1230... - 93.5307... = 280.5923... squared feet

BIG SQUARE   diagonal = 8

area of a square using diagonals = ½ × d2 Square units.

= ½ × 64  =   32     Square units.

small square   (diagolal 4)

½ × 16 Square units. = 8  square inches

Area shaded  32-8 = 24 square inches

Answer

18 Ft

Step-by-step explanation:

Hope You Enjoy !

Answer:

Step-by-step explanation:

Let A(–4,–2), B(–3,–5), C(3,–2) and D(2,3) be the vertices of the quadrilateral ABCD.

Area of a quadrilateral ABCD= Area of △ABC+ Area of △ACD

By using a formula for the area of a triangle =  

2

1

​

∣x  

1

​

(y  

2

​

−y  

3

​

)+x  

2

​

(y  

3

​

−y  

2

​

)+x  

3

​

(y  

1

​

−y  

2

​

)∣

Area of △ABC

=  

2

1

​

[−4(−5+2)+−3(−2+2)+3(−2+5)]

=  

2

1

​

[12+9]

=  

2

21

​

sq.units      

Area of △ACD=  

2

1

​

[−4(3+2)+−2(−2+2)+3(−2−3)]

=  

2

1

​

[−20−15]

=  

2

35

​

sq.units  

∴Area of quadilateral=  

2

21

​

+  

2

35

​  =  2/ 56  =28 sq.unit        

x = 0 is a point of change in curvature for the function g(x) = 4x|x|.

The given function is g(x) = 4x|x|.

The first derivative of g(x) is:

g'(x) = 4|x| + 4x * d/dx (|x|)

= 4|x| + 4x * sgn(x)

where sgn(x) is the sign function that equals 1 if x > 0, -1 if x < 0, and 0 if x = 0.

The second derivative of g(x) is:

g''(x) = 4 * d/dx (|x|) + 4 * sgn(x) + 4x * d^2/dx^2 (|x|)

= 4 * sgn(x) + 4 * δ(x)

where δ(x) is the Dirac delta function that equals infinity at x = 0 and 0 elsewhere.

Since the second derivative of g(x) does not exist at x = 0, g(x) has no inflection point at x = 0.

However, we can see that g(x) changes from concave down to concave up at x = 0, which is a point of interest. At x < 0, g(x) is a downward-facing parabola, while at x > 0, g(x) is an upward-facing parabola. Therefore, we can say that x = 0 is a point of change in curvature for the function g(x) = 4x|x|.

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Answer:

V=157

Step-by-step explanation:

Formula-

V=π\(r^{2}\)\(\frac{h}{3}\)

1.) Place height and radius in the formula.

V=π\(5^{2}\)\(\frac{6}{3}\)

2.) Now all you have to do is simplify.

V=3.14 x 25 x 2

3.) Now solve.

V=157.07963

Answer:

I say 157 cubic centimeters

Step-by-step explanation:

the probability of risk increases with the extension of supply chain. The more we enlarge our business the more possibility of risk.

A supply chain refers a system of connection of the business elements such as raw materials, products, resources, profit, loss as well as all the activities of a running business organization.

the extent of possibility of occurring unexpected incident in a business. while going on with our business, we wish to extend our organization so as to earn reputation as well as gaining outstanding outcomes. But at the same time the chance of getting bad outcomes rises. It is termed as probability of risk.

hence, the above expression risk rises with increasing supply chain is true.

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Step 1

Boiling point of mercury = 357℃

Let the boiling point of the lead be x

41/200 x=357

Step 2

41/200 x=357

41/200 x times 200/41 =357 times 200/41

x=1741.46

Step 3

The boiling point of lead is 1741.46

Result

41/200x=357

The boiling point of lead is 1741.46

Hope this helped

Answer: The boiling point of lead is 1741.46°C

Step-by-step explanation: Explanation:

The boiling point of mercury = 357°C

The boiling point of lead is x

41/200 x = 357

x = 357 x (200/41)

x = 1741.46

The boiling point of lead is 1741.46°C

Answer:

\(AS = 10\sqrt{41} \\WE = 20\\EN = 25\\Part D = 90 - 10\sqrt{41}\)

Step-by-step explanation:

AR = 50

AW = WR = EN = 25

RS = 40

RN = NS = WE = 20

\(AS=\sqrt{(AR)^2+(RS)^2}\\AS=\sqrt{(50)^2+(40)^2} \\AS=\sqrt{2500+1600} \\AS=\sqrt{4100} \\AS=\sqrt{41*100}\\AS = 10\sqrt{41}\)

\(AR + RS - AS = 50 + 40 - 10\sqrt{41} \\AR + RS - AS = 90 - 10\sqrt{41}\\AR + RS - AS = 10 (9 - \sqrt{41})\)

The limit doesn't exist.

The value that a function (or sequence) approaches when the input (or index) gets closer to a particular value is known as a limit. Calculus and mathematical analysis are impossible without limits, which are also required to determine continuity, derivatives, and integrals.

In addition to being closely related to limit and direct limit in category theory, the idea of a limit of a sequence is further generalized to include the concept of a limit of a topological net.

A function's limit is typically expressed in formulas as

\(\lim_{x \to c } F(x) = L\)

It is typically used to assign values to specific functions at locations where none are defined while maintaining consistency with existing values.

\(F(x) = -x+8 ,x\leq 0\)

\(F(x) = 4x+9 , if x > 0\)

\(\lim_{x \to 0^{+} } F(x) = \lim_{n \to 0^{+} } (4x+9) = 9\)

\(\lim_{x \to 0^{-} } F(x) = \lim_{x \to 0^{-} } (-x+8) =8\)

\(\lim_{x \to 0^{+} } F(x) \neq \lim_{x \to 0^{-} } F(x)\)

So limit doesn't exist

For limit to exist

\(\lim_{x \to 0^{+} } F(x) = \lim_{x \to 0^{-} } F(x) = \lim_{x \to 0} f(x)\)

must be satisfied

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The probability that Serena does not serve an ace or a double fault is 0.6, when the probability of Serena serving an ace in tennis is 0.15, and the probability that she double faults is 0.25.

The formula of the favorable outcome over the total outcomes is used to describe probability. The likelihood of flipping a coin heads is one example. Given that there is only one head and two total sides, 50% of the time, a head will land up-side-down.

Given,

Serve tennis probability = 0.15

No ace probability = 1-0.15

No ace probability = 0.85

Double fault probability = 0.25

No double fault probability = 1-0.25 = 0.75

No double fault probability = 0.75

The probability of not receiving an Ace or Double Fault: is

= 0.75 ×0.85

= 0.6.

The probability that Serena does not serve an ace or a double fault is 0.6.

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