Classify the following triangle check all that apply

Answer:

A) 6/7

Step-by-step explanation:

Remember that two negatives will cancel to make a positive. Also, 6 ÷ 7 is 6/7

The vertex form of the equation is y = (x - 3)² - 4, which corresponds to option OD.

To convert the given equation from standard form to vertex form, we need to complete the square.

The vertex form of a parabola's equation is y = a(x-h)² + k, where (h, k) represents the vertex of the parabola.

Given equation: y = x² - 6x + 14

Move the constant term to the right side:

y - 14 = x² - 6x

Complete the square by adding and subtracting the square of half the coefficient of x:

y - 14 + 9 = x² - 6x + 9 - 9

Group the terms and factor the quadratic:

(y - 5) = (x² - 6x + 9) - 9

Rewrite the quadratic as a perfect square:

(y - 5) = (x - 3)² - 9

Simplify the equation:

y - 5 = (x - 3)² - 9

Move the constant term to the right side:

y = (x - 3)² - 9 + 5

Combine the constants:

y = (x - 3)² - 4

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Answer:

f(5) = 17

Step-by-step explanation:

Function: f(x) = 3x + 2

x-value: 5

Equation: f(5) = 3(5) + 2

Solve:

f(5) = 3(5) + 2

f(5) = 15 + 2

f(5) = 17

Many people thin that something like f(x) means that you are multiplying f and x. This is incorrect.

f(x) = 3x + 2 is the same as y = 3x + 2, the f is the name of the function, and you replace a number, like 5, for the x - value.

-Chetan K

take side as a

volume of cube=a×a×a

= 13×13×13

There are 52 cards in the deck and so the probability of guessing the card right is 1/52.

Probability is simply the likelihood of something occurring. When we are uncertain about the result of an event, we might discuss the probabilities of several outcomes—how likely they are. Statistics is the study of occurrences guided by probability. The probability is a measure of the possibility that an event will occur. It assesses the event's certainty. P(E) = Number of Favourable Outcomes/Number of Total Outcomes is the probability formula.

Here,

We can find this probability by seeing that

=1/4×1/13

=1/52

Because there are 52 cards in the deck, the probability of correctly predicting the card is 1/52.

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The values that make the given inequality true are -2, 1, 3, 5, 5.9, 5.99, 5.999, and 6.

We are given an inequality. The inequality is k ≤ 6. We are also given several values for the variable "k". We need to select the values that satisfy the inequality and make the inequality true. The values given to us are -2, 1, 3, 5, 5.9, 5.99, 5.999, 6, 6.001, 6.01, 6.1, 7, 9, 11, and 14. According to the given inequality, the values that are less than or equal to six will satisfy the inequality, and other values will not hold true. The values smaller than or equal to six are -2, 1, 3, 5, 5.9, 5.99, 5.999, and 6. Hence, the values that make the given inequality true are -2, 1, 3, 5, 5.9, 5.99, 5.999, and 6.

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Least- 4.5,11,20,45,454

Greatest-454,45,20,11,4.5

Answer:

He needs 5 boxes.

Step-by-step explanation:

224 divided by 46 is 4.86956521739, however he needs all of them, so he needs to put the extra in another box.

Answer:

Measure of the unknown angle is 21°.

Step-by-step explanation:

In the given question,

Measure of opposite side and the measure of hypotenuse have been given.

Therefore, we will use the trigonometric ratio for the unknown angle which has the ratio of opposite side and the hypotenuse.

\(\text{sin}\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

      \(=\frac{13}{36}\)

      \(=0.36111\)

\(\theta \approx \text{sin}^{-1}(0.36111)\)

\(\theta \approx 21.17\)

\(\theta \approx 21^{\circ}\)

Therefore, measure of the unknown angle is 21°.

Answer:

Cost of a play station game = $11.3

Cost of each water ride = $22.6

Step-by-step explanation:

Entrance tickets = $89.97

Royal meal = $10.85

Cost of a play station game = x

Cost of each water ride = 2x

Find the cost of a water ride

Entrance tickets = Royal meal + 1 play station game + 3 water rides

89.97 = 10.85 + 1(x) + 3(2x)

89.97 = 10.85 + x + 6x

89.97 = 10.85 + 7x

89.97 - 10.85 = 7x

79.12 = 7x

x = 79.12/7

x = 11.302857142857

Approximately to the nearest tenth

x = $11.3

Cost of a play station game = x = $11.3

Cost of each water ride = 2x

= 2(11.3)

= $22.6

Answer: $16

Step-by-step explanation:

reduce by 20% means cutting from 100% and leftover with 80% of original

                                            100%-20%=80%

original price: $20×100%=$20

after reduction: $20×(100%-20%)=$16

Answer:

16

Step-by-step explanation:

First find the discount

20 * 20%

20 * .20

4

Subtract this from the price

20 -4

16

The new price is 16

Complete question is;

Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m³ of fluffy

material. The Height is 0.5 m and the

Base is 1 m.

What is the length of the pillow?

Give an exact answer (do not round)

Answer:

length of Pillow  = 1.4 m

Step-by-step explanation:

This wedge will be the shape of a triangular prism. The volume of a triangular prism is given as;

V = area of base x length = ½ × base × height × length

Thus;

Volume of Wedge = ½ × base × height × length

We are given;

base = 1 m

height = 0.5 m

Volume = 0.35m³

And we want to find the Length(L)

Thus;

½ × 0.5 × 1 × L  = 0.35

L/4 = 0.35

Multiply both sides by 4 to give;

L = 0.35 × 4

L = 1.4 m

length of Pillow  = 1.4 m

Answer:

1.4

Step-by-step explanation:

Khan

The system of equations from the graph are y= -1/3 x+6 and y= 4x-4.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Equation of green line:

Points on the green line are (-3, 5) and (3, 3)

Here, slope (m)= (3-5)/(3+3)

= -2/6

m= -1/3

Substitute, m= -1/3 and (x, y)=(-3, 5) in y=mx+c, we get

5= -1/3 (3)+c

c=6

Substitute, m= -1/3 and c=6 in y=mx+c, we get

y= -1/3 x+6

Equation of blue line:

Points on the blue line are (1, 0) and (0, -4)

Slope (m)= (-4-0)(0-1)

m= 4

Substitute, m= 4 and (x, y)=(1, 0) in y=mx+c, we get

0=4(1)+c

c= -4

Substitute, m= 4 and c= -4 in y=mx+c, we get

y= 4x-4

Therefore, the system of equations from the graph are y= -1/3 x+6 and y= 4x-4.

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EXPLANATION

Given the line on the graph, we need to find the slope and the y-intercept.

Considering two ordered pairs, as for instance (x₁,y₁)=(50,-90) and (x₂,y₂)=(80,90)

The slope-equation is:

Replacing terms:

The point-slope form of the line is:

y-y₁= m(x-x₁)

Finally, we need to represent as a point-slope form considering either one ordered pair, as for instance, (x₁,y₁)=(50,-90)

y-(-90) = 6(x-50) [Simplifying terms]

y + 90 = 6(x-50) [ANSWER]

Answer:

The weight of dogs x = 38pounds

Step-by-step explanation:

Step(i):-

Given that the mean weight of a group of dogs

       μ = 38 pounds

Let 'x' be the weight of dogs

Let 'x' be the random variable in normal distribution

Given that z-score is zero

Step(ii):-

we know that the z-score

                   \(Z = \frac{x-mean}{S.D}\)

            ⇒  \(0 = \frac{x-38}{S.D}\)

            ⇒ 0 = x-38

           ⇒  x-38 = 0

          ⇒   x =38

Final answer:-

The weight of dogs x = 38pounds

The z-score with probability 0.225 to the right is 0.15 and the z-score with probability 0.900 to the left is -1.28. This can be calculated using the Z-score table for a standard normal distribution.

(a) Probability 0.225 to the right is equal to z-score 0.15.

This can be calculated using the Z-score table for a standard normal distribution.

The probability to the right of z-score is equal to the cumulative probability of the z-score.

The cumulative probability of 0.15 is 0.225, which is the probability to the right.

(b) Probability 0.900 to the left is equal to z-score -1.28.

This can be calculated using the Z-score table for a standard normal distribution.

The probability to the left of z-score is equal to the cumulative probability of the z-score.

The cumulative probability of -1.28 is 0.900, which is the probability to the left.

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Answer:

Draw the line segment AB = 7 cm.

Draw ray BX making an acute ∠ABX.

Along BX. mark off five points B1, B2, B3, B4 and B5. Join B2 to A.

Through B5 draw B5P || B2A, intersecting BA produced at P.

The point P so obtained is the required point which divides AB externally in the ratio 3:5.

we have, the opposite angles at the vertex have the same measure, therefore:

then,

and we have the sum of all 4 angles is equal to 360 and as I said before, the opposite angles by the vertex have equal measure, so:

answer: x = 2 and z = 104

The probability that the consumer will have more than 6 contaminated chickens is 0.039.

The binomial distribution is a frequency distribution that shows how many successful outcomes there could be in a set number of trials with an equal chance of success. Given a success probability of "p" for each experiment trial, it shows the likelihood that an experiment will succeed "x" times out of "n" trials. The formula to calculate this binomial distribution is \(P(X=x)= \;_nC_xp^x(1-p)^{n-x}\)

Given the p=0.30 and n=12. Then, the required probability that the consumer will have more than 6 contaminated chickens is,

\(\begin{aligned}P(X > 6)&= P(X=7)+P(X=8)+P(X=9)+P(X=10)+P(X=11)+P(X=12)\\&=12C_7(0.3)^7(0.7)^5\cdots\cdots\cdots12C_{12}(0.3)^{12}(0.7)^{0}\\&=0.0386\\&=0.039\end{aligned}\)

The required answer is 0.039.

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Answer: C= 100+7n

Step-by-step explanation:

Given:

Ratio of tulips to roses = 2:1

Total number of flowers = 18

To find:

The number of tulips.

Solution:

Let the number of tulips and roses are 2x and x respectively.

According to the question,

\(2x+x=18\)

\(3x=18\)

Divide both sides by 3.

\(x=\dfrac{18}{3}\)

\(x=6\)

Now,

Number of tulips \(=2(6)\)

                           \(=12\)

Therefore, the number of tulips is 12.

The value of g(-3) is 15 of the function:  g(x) = 3(2-x)

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.

Given Data

Function

g(x) = 3(2-x)

g(-3)

Equating x = -3

g(-3) = 3(2-(-3))

g(-3) = 3(2+3)

g(-3) = 3(5)

g(-3) = 15

The value of g(-3) is 15.

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The value of given summation is 2∑[d :3 _ 6](d² - d) = 136

In this question we have been given an expression 2∑[d:3 _ 6](d² - d)

We need to evaluate given summation.

2∑[d : 3 _ 6](d² - d)

For d = 3,

d² - d = 3² - 3

d² - d = 9 - 3

d² - d = 6

For d = 4,

d² - d = 4² - 4

d² - d = 16 - 4

d² - d = 12

For d = 5,

d² - d = 5² - 5

d² - d = 25 - 5

d² - d = 20

For d = 6,

d² - d = 6² - 6

d² - d = 36 - 6

d² - d = 30

So, given expression of summation would be,

2∑[d : 3 _ 6](d² - d)

= 2 × [(3³ - 3) + (4² - 4) + (5² - 5) + (6² - 6)]

= 2 × (6 + 12 + 20 + 30)

= 2 × ( 68)

= 136

Therefore, the value of given summation is 2∑[d :3 _ 6](d² - d) = 136

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According to the given statement , the heart beats 4,860 times in 1 minute.

The heart beats 81 times per minute. To find how many seconds it beats in 1 minute, we multiply 81 by 60 (since there are 60 seconds in a minute).

Step 1:

Multiply 81 by 60.
81 * 60 = 4,860

Step 2:

The heart beats 4,860 times in 1 minute.

The heart beats 4,860 times in 1 minute.

1. Multiply 81 by 60 to get the total number of beats in 1 minute.
2. The heart beats 4,860 times in 1 minute.

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The heart beats 4860 times in 1 minute, or in other words, the heart beats 4860 beats per minute.

The heart beats 81 times in 1 minute.

To find out how many seconds the heart beats in 1 minute, we need to multiply the number of beats (81) by the number of seconds in 1 minute.

There are 60 seconds in 1 minute, so we can set up a proportion to solve for the number of seconds:

81 beats / 1 minute = x beats / 60 seconds

To solve this proportion, we cross multiply:

81 * 60 = x * 1

This simplifies to:

4860 = x

Therefore, the heart beats 4860 times in 1 minute, or in other words,

the heart beats 4860 beats per minute.

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Answer:

your slope would be 5/4

Step-by-step explanation:

your x will always be your slope. when you rewrite the equation it would be

y=5/4x-7

so from -7 you would go up 5 and over 4.

Again your x value will always be your slope.

Answer:

add 17 to both sides

Step-by-step explanation:

as it cancels itself

mark brainliest

Answer:

Add 17 to both sides

Step-by-step explanation:

i did the quiz

Explanation:

We'll let you draw the diagram. Here are some possible equations. We have listed the shortest sequence first.

(a) 24 = (10 + 10 + 4) = (8 + 8 + 8) = (10 + 8 + 4 + 2)

(b) 17 = (10 + 3 + 2 + 2) = (10 + 3 + 3 + 3 - 2) = (3 + 3 + 3 + 3 + 3 + 2)

(c) 15 = (11 + 4) = (6 + 6 + 3) = (4 + 4 + 4 + 3)

(d) 27 = (19 + 8) = (19 + 12 - 4) = (19 + 12 + 4 - 8)