A triangle has sides of lengths 19 centimeters, 19 centimeters, and 26 centimeters and angle measures of 84º. 489 and 48°. Which image shows this triangle?
84
19 cm
19 cm
248
48
26 cm
48
19 cm
19 cm
O
84
48
26 cm
84
19 cm
26 cm
248
48
19 cm
48
26 cm
O
19 cm
18
84
19 cm

The probability that it will not be orange is 0.9

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how probably an event is to do, or how likely it's that a proposition is true.

given:

There are:

5 pink marbles

9 green marbles,

13 blue marbles, and

3 orange marbles.

There is a total of 30 marbles in the jar.

Step 1. Take 1 marble from the jar.

Step 2. Probability that it is orange, = P(orange) = ( 3/30 ) = ( 1/10 ) = 0.10 = 10%

Step 3. Probability that the chosen marble is not orange, = ( 1 - Probability that the chosen marble IS orange) = ( 1 - 0.1 ) = 0.9 = 90%.

hence , the probability that it will not be orange is 0.9

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For any vectors u and v in V₃ and any scalar k,

(ku) v. is equal to (ku) v.

Let's consider,

k = 2, u = 2i and v = 3i.

k(u v) = (ku) v.

L. H. S. = R. H. S.

k(u v) ........(1)

(ku) v.........(2)

Plugging the values of k, u and v in equation 1.

2 (2i × 3i) = 2×6i² = 12.

Now, plugging the values of k, u and v in equation 2.

(ku) v. = (2 × 2i) × 3i = 4i ×3i = 12i² = 12.

Therefore, for any vectors u and v in V₃ and any scalar k,

k(u v)= (ku) v.

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Answer:

1) 26

2) 5

3) 20

Step-by-step explanation:

1. 7 x 3 + 5  Do Multiplication before addition

21 + 5

26

2. 8÷4 + 3 Do division before addition

2 + 3

5

3. 2(12-4) + 4  Do what is in the parentheses first

2(8) + 4  Multiply before you add

16 + 4

20

The exponential growth rate is obtained as 0.1099.

Now we know that an exponential function has to do with an exponential increase or decrease. An exponential function could increase or decrease and this means that the constant of the function could be a decay constant or a growth constant.

When we have an exponential function, we have to apply the general formula; P(t) = P(o)e^rt

Po = initial number

P(t) = number at time t

r = rate of growth

t = time taken

Thus;

270=90e^10r

270/90 = e^10r

3 = e^10r

ln3 = 10r

r = ln3/10

r = 0.1099

After 13 hours;

P(t) = 90e^(0.1099 * 13)

P(t) = 376

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The statement is true; given a bounded sequence (sn), there exists a monotonic subsequence whose limit is the limit superior (lim sup) of (sn).

To prove this, consider the set A of all subsequential limits of (sn), denoted as {x: x is a subsequential limit of (sn)}. Since (sn) is bounded, A is also bounded. By the Bolzano-Weierstrass theorem, A contains at least one accumulation point, which we denote as L.

Now, construct a subsequence (sk) such that for each k, sk is the element of (sn) that is closest to L among the elements not yet chosen. By construction, (sk) is a monotonic subsequence.

To show that lim sk = L, we consider any ε > 0. Since L is an accumulation point of A, there exists an element snk in (sn) such that |snk - L| < ε. As (sk) consists of elements that are closest to L, we have |sk - L| ≤ |snk - L| < ε. Thus, lim sk = L, which proves the existence of a monotonic subsequence whose limit is lim sup sn.

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a) There are 36 sample points that are possible.

b) The probability of obtaining a value of 7 is 1/12.

c) The probability of obtaining a value of 8 or greater is 1/6.

(a) When rolling a pair of dice, each die has six possible outcomes: 1, 2, 3, 4, 5, or 6. The possible outcomes for the pair of dice can be represented by the set of all ordered pairs (a, b), where a and b represent the outcomes of the first and second die, respectively.

Since each die has six possible outcomes, there are a total of 6 x 6 = 36 possible outcomes for rolling a pair of dice.

(b) To obtain a sum of 7, we must have one die showing 1 and the other die showing 6, or one die showing 2 and the other die showing 5, or one die showing 3 and the other die showing 4, for a total of three possible outcomes.

Since each die has six possible outcomes, there are a total of 6 x 6 = 36 possible outcomes. Therefore, the probability of obtaining a sum of 7 is 3/36, or 1/12.

(c) We must have one die showing 2 and the other die showing 6, or one die showing 3 and the other die showing 5, or one die showing 4 and the other die showing 4, or one die showing 4 and the other die showing 5, or one die showing 5 and the other die showing 3, or one die showing 6 and the other die showing 2, for a total of 5 + 1 = 6 possible outcomes.

Therefore, the probability of obtaining a sum of 8 or greater is 6/36, or 1/6.

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Answer:

4

Step-by-step explanation:

All you have to do is divide x/y.

after you devide all of them, chose the answer they all have in common.

The relationship between two variables in which one variable doubles when the other variable doubles is called a direct proportion or direct relationship.

This means that the two variables are directly related, and their values increase or decrease in the same proportion.

In mathematical terms, this is represented by a linear equation in the form of y = kx, where y is the dependent variable, x is the independent variable, and k is the constant of proportionality.

Therefore, when x doubles, y doubles as well, and when x triples, y triples as well.

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Answer:

1/8 and 2/1 or 1:8 and 2:1

Step-by-step explanation:

Statistical guidance should perform well in situations such as clinical trials and market research where rigorous data analysis and inference are necessary. Statistical methods provide a systematic approach to control biases, handle variability, and draw reliable conclusions, ensuring accurate decision-making and predictions based on the data.

Statistical methods are crucial in determining sample sizes, designing the study, and analyzing the data to draw valid conclusions about the effectiveness and safety of the treatment.

In this situation, statistical guidance should do well because it provides a systematic framework to control for biases, random variability, and confounding factors, ensuring robust and reliable results that can be generalized to a larger population.

One example where statistical guidance should perform well is in clinical trials for new drugs or treatments.

Another example is in market research and opinion polling. Statistical techniques can be used to collect and analyze data from a representative sample of the target population, allowing for accurate estimation and prediction of consumer preferences, market trends, or election outcomes.

Statistical guidance should do well in this situation because it provides methods for random sampling, hypothesis testing, and confidence interval estimation, which help minimize sampling errors and increase the reliability of the findings.

Additionally, statistical models can capture complex relationships and make accurate predictions based on the observed data.

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The values of x for which the function f(x) = x³ + 3x² - 9x + 7 is increasing are (-∞, -3) and (1, +∞).

To find the values of x for which the function f(x) = x³ + 3x² - 9x + 7 is increasing, we need to take the derivative of the function and determine where the derivative is positive.

f(x) = x³ + 3x² - 9x + 7

f'(x) = 3x² + 6x - 9

To find where f(x) is increasing, we need to find the values of x where f'(x) > 0.

3x² + 6x - 9 > 0

Simplifying this inequality, we get

x² + 2x - 3 > 0

Factoring the left side of the inequality, we get

(x + 3)(x - 1) > 0

The critical points of f(x) occur when f'(x) = 0 or when the denominator of f'(x) is undefined. The denominator of f'(x) is always defined, so we only need to find where f'(x) = 0

3x² + 6x - 9 = 0

Dividing both sides by 3, we get

x² + 2x - 3 = 0

Factoring the left side of the equation, we get

(x + 3)(x - 1) = 0

So the critical points of f(x) are x = -3 and x = 1.

Now we can use a sign chart to determine the intervals where f'(x) > 0.

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The given question is incomplete, the complete question is:

What are all values of x for which the function f is defined by f(x)= x³ +3x² -9x +7 is increasing?

Since all the angles of the first triangle are different, it is a scalene triangle, Similarly, since all the sides of the second triangle is also different, it is a scalene triangle.

Triangles is a 3-D shape with 3 sides and angles.  The types of triangle that we have include;

Since all the angles of the first triangle are different, it is a scalene triangle, Similarly, since all the sides of the second triangle is also different, it is a scalene triangle.

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Answer:

n=82

Step-by-step explanation:

\( \frac{17 + n}{3} = 33 \: \: \: \frac{17 + n}{3} = \frac{33}{1} \: \: \: 17 + n = 99 \: \: \: n = 99 - 17 \: \: \: n = 82\)

Proof:

17+n/3=33

17+82/3=33

99/3=33

33=33

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Answer:

Step-by-step explanation:

The closest to sea level is - 11. The minus sign indicates that you are below 0 or the level of the sea at that location. So what is true and what isn't?

Grasshopper meadow is not closest to sea level. At 15 feet it is 4 feet more above the closest one at - 11. False

Echo point is the highest above sea level. It is 45 feet above sea level. This statement is also False.

Therefore, the perimeter of triangle STU is approximately 693 ft.

If triangles PQR and STU are similar, it means that the corresponding sides are proportional. Let's denote the perimeter of triangle STU as P_stu.

Given:

Perimeter of triangle PQR = 249 ft.

Length of one corresponding side in PQR = 46 ft.

Length of the corresponding side in STU = 128 ft.

To find the perimeter of triangle STU, we need to determine the scale factor between the two triangles, and then multiply the corresponding sides of PQR by this scale factor.

Scale factor = Length of corresponding side in STU / Length of corresponding side in PQR

Scale factor = 128 ft / 46 ft

Now, we can calculate the perimeter of triangle STU using the scale factor:

P_stu = Perimeter of triangle PQR * Scale factor

P_stu = 249 ft * (128 ft / 46 ft)

P_stu = 693 ft (rounded to one decimal place)

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Answer:

  10.309 in²/s

Step-by-step explanation:

Given A³ = 36πV² and V' = 18 in³/s, you want to know A' when A=153.24 in² and V=178.37 in³.

Using implicit differentiation, we have ...

  3A²·A' = 36π·2V·V'

  A' = (36π·2)/3·V/A²·V' = 24πV/A²·V'

  A' = 24π·(178.37 in²/(153.24 in²)²·18 in³/s

  A' ≈ 10.309 in²/s

The surface area is increasing at about 10.309 square inches per second.

__

Additional comment

There are at least a couple of ways a calculator can be used to find the rate of change. The first attachment shows evaluation of the expression we derived above. The second attachment shows the rate of change when the area is expressed as a function of the volume.

The result rounded to 5 significant figures is the same for both approaches.

Answer:

Step-by-step explanation:

Match each cone’s measures to its corresponding volume.

The formula for the volume of a cone is given as:

πr²h/3

a) base area=16in² height=6in

Base area of a cone = πr²

Hence, volume of this cone = 16in² × 6 in

= 96in³

•Diameter=12in height=5in

•Radius=5in height=4

V=60 in3

V=100/3 in3

V=32 in3

Answer:

Radius=                         v=100/3 pie in ^3

base area=                    v=32 pie in. ^3

Diameter                        v=60 pie in ^3

∫[3, 8] f(x) dx equals approximately 1683.17.

∫[3, 8] g(x) dx equals approximately 1932.5

To evaluate the given integrals, let's first identify the functions f(x) and g(x) and their respective intervals.

f(x) = 4x^2 - 3x + 2

g(x) = 2x^3 - 5x + 1

Interval: [3, 8]

Now, let's evaluate the integrals step by step.

∫[3, 8] f(x) dx:

We integrate the function f(x) over the interval [3, 8].

∫[3, 8] (4x^2 - 3x + 2) dx

To find the integral, we can use the power rule for integration. For each term, we increase the exponent by 1 and divide by the new exponent.

= [4 * (x^3/3) - 3 * (x^2/2) + 2x] evaluated from 3 to 8

Now we substitute the upper and lower limits into the integral expression:

= [(4 * (8^3/3) - 3 * (8^2/2) + 2 * 8) - (4 * (3^3/3) - 3 * (3^2/2) + 2 * 3)]

Simplifying further:

= [(4 * 512/3) - (3 * 16/2) + 16 - (4 * 27/3) + (3 * 9/2) + 6]

= [(1706.67) - (24) + 16 - (36) + (13.5) + 6]

= 1683.17

Therefore, ∫[3, 8] f(x) dx equals approximately 1683.17.

∫[3, 8] g(x) dx:

We integrate the function g(x) over the interval [3, 8].

∫[3, 8] (2x^3 - 5x + 1) dx

Using the power rule for integration:

= [(2 * (x^4/4)) - (5 * (x^2/2)) + x] evaluated from 3 to 8

Substituting the upper and lower limits:

= [(2 * (8^4/4)) - (5 * (8^2/2)) + 8 - (2 * (3^4/4)) + (5 * (3^2/2)) + 3]

Simplifying further:

= [(2 * 4096/4) - (5 * 64/2) + 8 - (2 * 81/4) + (5 * 9/2) + 3]

= [(2048) - (160) + 8 - (162/2) + (45/2) + 3]

= 1932.5

Therefore, ∫[3, 8] g(x) dx equals approximately 1932.5

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Answer:

y=28

Step-by-step explanation:

Answer:

The answer is p=576

Step-by-step explanation:

Answer:

x = 19

Step-by-step explanation:

x = Courtney's current age

14+x = Mary's current age

Mary's current age: 14 + 19 = 33

14 + x + 5 = 2x

19 = x

Answer:

hi, I'm glad to help! 185

Step-by-step explanation:

11*7=77

11*6=66

6*7=42

77+66+42=185

Step-by-step explanation:

12 nickels out of (8+13+12+22 = 55) coins    12/55 chance of nickel

   now there are only 54 coins   and 13 are dimes  :   13/54 chance of dime

12/55 * 13/54 = 26/495 = .0525 chance

Answer: 83r^2 - 59 + 60

Step-by-step explanation:

R^2 - 59R - 82r^2 + 60

= 83r^2 - 59 + 60

Answer:

5

Step-by-step explanation:

Formula for finding slope:

\( \frac{y1 - y2}{x1 - x2} \)

Slope of line passing through (-5,5) and (-4,10)

=

\( \frac{5 - 10}{ - 5 - ( - 4)} \\ = \frac{ - 5}{ - 5 + 4} \\ = \frac{ - 5}{ - 1} \\ = 5\)

Answer:

Slope = 5

Step-by-step explanation:

    (-5,5)   ;   x₁ = -5    & y₁ = 5

    (-4, 10)  ;   x₂ = -4  & y₂ = 10

             \(\sf \boxed{\bf Slope = \dfrac{y_2-y_1}{x_2-x_1}}\)

                         \(\sf =\dfrac{10-5}{-4-[-5]}\\\\ =\dfrac{10-5}{-4+5}\\\\=\dfrac{5}{1}\\\\= 5\)

Answer:

\(x=67.38^\circ\)

Step-by-step explanation:

Use trigonometry

Recall that cos(x)=adjacent side/hypotenuse

You can remember this with SohCahToa

Also remember that if cos(x)=y then \(cos^{-1}(y)=x\)

In this case, we know the adjacent side and hypotonous

Adjacent side=5000

Hypotenuse=13000

Therefore

\(Cos(x)=\frac{5000}{13000}=\frac{5}{13}\)

Now to solve for x, take the inverse cosine

\(cos^{-1}(\frac{5}{13})=x=67.38^\circ\)

Answer:

x=67.38

Step-by-step explanation:

I took the quiz and got it correct!

Answer:

Part A:

The correct option is;

(7, 15)

Part B:

The false statements are;

1) f(2) = 1

2) f(15) = 100

Step-by-step explanation:

Part A:

The given parameters are that the domain of the function f(x) = 0 ≤ x ≤ 15

The range of the function = 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75

Part A:

Therefore, a possible point, (x, y) on the graph = (7, 15)

Part B:

The statements that must be false includes the equation of the input and output are not defined by the given function including;

1) f(2) = 1, because although 2, is a member of the domain of the function, 1 is not a member of the range of the function

2) Similarly, we have;

f(15) = 100 again, 15 is a member of the domain of the function but 100 is not  a member of the range.

Answer:

sorry ihave ni idea sorry sorry

Answer:

1 and 10

Step-by-step explanation:

Answer:

1 and 10

Step-by-step explanation:

1×10=10

1+10=11

Answer:

6

Step-by-step explanation: