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Please....

Answer:

102cm

Step-by-step explanation:

Triangle area is BH/2

(12*17)/2=102

Answer:

102cm is the answer to your question.

Step-by-step explanation:

Answer:

y = 360 (1.03)^x

Step-by-step explanation:

Amount in account = principle * (1+ rate) ^ time

When the interest is annual

rate is in decimal form and time is in years

y = 360 ( 1+.03) ^x

y = 360 (1.03)^x

C. May or may not increase in size even if the added variable has statistical significance.

The R-squared value measures the proportion of variance in the dependent variable that is explained by the model, including the independent variable.

Therefore, if an independent variable is added to the model and it is statistically significant, then it will increase the R-squared value. However, if the variable added is not statistically significant, then it will not have an effect on the R-squared value.

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Answer:A

Step-by-step explanation:

20/25 = 4/5

16/20 = 8/10 = 4/5

The price of the watch before the discount is calculated to be £24.44.

As the total price of the watch and a pair of trainers is £53. 55 and the price of the trainer before the discount was £38, we first calculate the price of the trainers after the discount as follows;

discount on a pair of trainers = 15/100 × 38 =  £5.7

cost of trainers after discount =  £38 - 5.7 =  £32.3

Now the price of the watch after the discount can be calculated by subtraction as follows;

price of watch after discount = total price - price of trainers after discount

price of watch after discount =  £53. 55 - £32.3

price of watch after discount = £21.25

Now the price of the watch before the discount can be calculated as follows;

price of watch before discount = £21.25 × 15/100

price of watch before discount = £21.25 + £3.1875

price of watch before discount = £24.44

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Answer:

b. 2%

Step-by-step explanation:

20.51/18.99

Answer:

First subtract 18.99 from 20.51

this equals 1.52

then divide 1.52 by 18.99

to find the percentage that 1.52 is of 18.99

this is 8%

Answer:

x > 8

Step-by-step explanation:

-6x + 18 < 2 - 4x

-2x + 18 < 2

-2x < -16

x > 8

The given equation is (1/2)a + (2/3) b = 50

and b = 30

Substituting the given value of b is above the equation we get

\(\large\displaystyle\text{$\begin{gathered}\sf \bf{\Rightarrow\left(\frac{1}{2}\right)a+\left(\frac{2}{3}\right)\times30=50 } \end{gathered}$}\)

\(\large\displaystyle\text{$\begin{gathered}\sf \bf{\Rightarrow \left(\frac{1}{2}\right)a+20=50 } \end{gathered}$}\)

\(\large\displaystyle\text{$\begin{gathered}\sf \bf{\Rightarrow\left(\frac{1}{2}\right)a=50-20=30 } \end{gathered}$}\)

\(\large\displaystyle\text{$\begin{gathered}\sf \bf{\Rightarrow a = 30 \times 2 = 60 } \end{gathered}$}\)

Therefore, a = 60 and b = 30 is a solution of the given equation.

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Answer: v = 33.51 cm^3

Step-by-step explanation:

Plug in radius to equation

V = 4/3 * π * 2^3

V = 4/3 * 8 * π

v = 33.51

Answer:

2<x<3

The fully factored form of the expression is:

3a^2y(a^2y − 4)(ay + 2/ay)

To factor this expression completely, we can first factor out the greatest common factor, which is 3a^2y:

3a^4y^3 − 12a^3y^2 + 6a^2y = 3a^2y(a^2y − 4y + 2)

Next, we can factor the quadratic expression inside the parentheses by using the quadratic formula or by factoring out the greatest common factor of ay:

a^2y^2 − 4ay + 2 = ay [(a^2y − 4) + 2/ay]

= ay (a^2y − 4) + 2

The quadratic trinomial a2y^2 - 4ay + 2 cannot be factored further over the integers or rational numbers.

A quadratic trinomial is an algebraic expression that consists of three terms, where the highest power of the variable is 2. In other words, a quadratic trinomial has the form ax^2 + bx + c, where a, b, and c are constants and a is not equal to zero.

Therefore, the fully factored form of the expression is:

3a^2y(a^2y − 4)(ay + 2/ay)

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Since there wer two penalties, each of five yard, the total change in yards due to the penalties is:

there was a change of 10 yards due to the penalties

Answer:

1. 20... 2. 31... 3. -50

Step-by-step explanation:

1. 8+12=20

2. 13+18=31

3.-20+-30=-50

4. -15+3=-12

5. -80+20=-60

1. 8-12=-4

2. 13-18=-5

3. -20--30=-50

4. -15-3=-18

5. 80--20=60

Answer:

w = ±3

Step-by-step explanation:

(w - 1) (w + 1) = 8

FOIL the left hand side.

w^2 -w+w-1 = 8

w^2 -1 =8

Add 1 to each side.

w^2 -1+1 = 8+1

w^2 = 9

Take the square root of each side.

sqrt(w^2) = sqrt(9)

w = ±3

Answer:

Property

Step-by-step explanation:

The area of the given trapezoid is 33.48 in².

Given is a trapezoid, we need to find its area,

Area = sum of the parallel side × height/2

Therefore,

A = (1/2)(3.6)(5.1 + 8.5 + 5)

= 1.8(18.6)

= 33.48 sq. inches

Hence the area of the given trapezoid is 33.48 in².

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The conclusion is that the distances bird travel is independent of their size. The Option A is correct.

The table shows the size of each bird in grams and the distance each bird traveled in kilometers. Based on the data, the conclusion that the student can make is that the distances bird travel is independent of their size.

The data shows that the smallest bird weighing only 3.0 grams traveled a much greater distance of 276 kilometers compared to the largest bird weighing 25.0 grams which only traveled a distance of 1 kilometer.  Therefore, it is concluded that the size of a bird does not necessarily determine how far it will travel during migration.

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The value of "a" is approximately 1.83 given that the absolute value of the difference of the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive.

We are given that the absolute value of the difference between the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive. We need to find the value of "a".

Let the two roots of the equation be r1 and r2, where r1 is not equal to r2. Then, we have:

|r1 - r2| = √(61) / 3

The sum of the roots of the quadratic equation is given by r1 + r2 = -5 / a, and the product of the roots is given by r1 × r2 = -3 / a.

We can express the difference between the roots in terms of the sum and product of the roots as follows:

r1 - r2 = √((r1 + r2)² - 4r1r2)

Substituting the expressions we obtained earlier, we have:

r1 - r2 = √(((-5 / a)²) + (4 × (3 / a)))

Simplifying, we get:

r1 - r2 = √((25 / a²) + (12 / a))

Taking the absolute value of both sides, we get:

|r1 - r2| = √((25 / a²) + (12 / a))

Comparing this with the given expression |r1 - r2| = √(61) / 3, we get:

√((25 / a²) + (12 / a)) = √(61) / 3

Squaring both sides and simplifying, we get:

25 / a² + 12 / a - 61 / 9 = 0

Multiplying both sides by 9a², we get:

225 + 108a - 61a² = 0

Solving this quadratic equation for "a", we get:

a = (108 + √(108² + 4 × 61 × 225)) / (2 × 61)

Since "a" must be positive, we take the positive root:

a = (108 + √(108² + 4 × 61 × 225)) / (2 × 61) ≈ 1.83

Therefore, the value of "a" is approximately 1.83.

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The question is -

Given that the absolute value of the difference of the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive, what is the value of "a"?

Answer:

d :4h

Step-by-step explanation:

hope this helps (;

Answer:

-39

Step-by-step explanation:

Plug in -7 for x and -6 for y into given equation and evaluate.

Answer:

the probability that at least one envelope is a yellow envelope is 16/21

Step-by-step explanation:

The probability that at least one envelope is a yellow envelope is P(Y);

P(Y) = 1 - P(Y)'

P(Y)' is the probability that no envelope is a yellow envelope.

Given;

red envelope = 1

blue envelopes = 3

green envelopes = 2

yellow envelopes = 3

Total = 9

Number of non-yellow envelope = 9 -3 = 6

(6 envelope are not yellow)

P(Y)' = P1 × P2 × P3

Since there is no replacement;

P(Y)' = 6/9 × 5/8 × 4/7

P(Y)' = 5/21

From equation 1;

P(Y) = 1 - 5/21

P(Y) = 16/21

the probability that at least one envelope is a yellow envelope is 16/21.

High mean with High standard Deviation is the data outcome of stock prices would best support the idea that there is more risk with that stock.

Stock Price:

The stock price is the price of one share out of the number of shares available for sale in the company. Simply put, stock price is the maximum amount someone is willing to buy a stock, or the minimum amount someone is willing to buy.

High mean with High standard Deviation:

A high standard deviation literally means a large mean deviation from the mean. For example, a good dart his player can throw darts on the dartboard and group the darts across the bullseye. A poor darts player will hit the entire board with the darts and even miss the board completely and hit the wall. A good darts player has a smaller average distance from the bullseye to the dart, and therefore a lower standard deviation. Bad darts players have a higher standard deviation because the average distance of their darts from the bullseye is greater.

There are no objective criteria for small and large standard deviations. We can only determine whether the mean deviation is small or large, depending on the context and what is being measured. For example, when throwing a dart, being one foot away from the target is a large deviation, but when swinging a wrecking ball against a wall, it is a small deviation. It has a different purpose than darts.

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Answer:I don’t Knowt Try To Answer it yourself

Step-by-step explanation:

Answer: Where is the triangle?

Step-by-step explanation: Brainliest pls:)

The true statements for the given function f(x) are:

The value of g(1) is 3 and the y- intercept of g(x) is at the point (0, 1) .

The function g(x) = f( x - 3 )

g (1) = f (1 -3 )

       = f (-2 )

       = 3

g (-1) = f (-1 -3)

       = f (-4)

       = - 1

Substituting , x = 0 to find the y intercept of g(x)

g ( 0 ) = f ( 0 - 3)

          =f (-3)

          =1

The y intercept of g(x) is at the point (0, 1)

Thus, options 1 and 4 are the true statements for the given function.

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The given ODE is x˙=−3x+4 with x(0)=5. The ODE is of the first order and linear, so it can be solved using the integrating factor method.

The integrating factor method is given as;\($$\frac{dx}{dt}$+$p(t)x=q(t)$$\)

Multiplying both sides by the integrating factor, we have;

\($$\begin{aligned}\mu x'+\mu p x &= \mu q\\ (\mu x) &= \int \mu q \ dt\end{aligned}$$Where p(t)=-3, q(t)=4 and x(0)=5\).

Therefore the integrating factor is;

\($$\mu = e^{\int p(t) \ dt}$$So;$$\begin{aligned}\mu &= e^{\int -3 \ dt}\\ &= e^{-3t}\end{aligned}$$\)

Multiplying both sides of the ODE by the integrating factor, we have;

\($$\begin{aligned}e^{-3t} x'+e^{-3t} (-3)x &= e^{-3t} (4)\\ \frac{d}{dt} (e^{-3t} x) &= 4 e^{-3t}\end{aligned}$$\)

Integrating both sides, we have;

\($$\begin{aligned}e^{-3t} x &= \int 4 e^{-3t} \ dt\\ &= \frac{4}{-3} e^{-3t} + C\end{aligned}$$\) where C is the constant of integration. Solving for C, we have;\($$5=e^{0} x = \frac{4}{-3} e^{0} + C$$\)

Hence, C= 5 + 4/3

= 19/3.

Therefore, the general solution is;\($$x(t) = \frac{4}{-3}$ + \frac{19}{3} $e^{3t}$$\)

This solution was obtained using the integrating factor method, which involves determining the integrating factor, multiplying both sides of the ODE by the integrating factor, finding the antiderivative of both sides of the resulting equation, and solving for the constant of integration using the initial condition.

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f(x) and g(x) are not closed under subtraction because when subtracted, the result will be a polynomial, the correct option is B.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

Given f(x) and  g(x) two polynomial functions in the standard form of the polynomial,

According to Closure Property, when something is closed, the output will be the same as the input.

The polynomials f(x) and g(x) can be seen in the image.

On subtracting the two polynomials, the output will be a polynomial and so it is closed under subtraction.

Therefore, The reason why f(x) and g(x) are not closed under subtraction is that the outcome of subtraction will be a polynomial, making option B the best choice.

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Complete question:

The statement, "after dilation, the angles in the pre-image are the same as those in the image" is TRUE.

A transformation where the size of an original image (pre-image) is enlarged or reduced to the size of a new image (image), is called dilation.

When a pre-image is enlarged, the size is increased by a scale factor to form an image that is larger than the original after dilation.  On the other hand, when the pre-image is reduced, the size of the new image (image) is smaller than the original after dilation.

Thus, after dilation, the corresponding sides of the pre-image and the image are proportional to each other while the corresponding angle measures are congruent.

This implies that, after dilation, the angles in the pre-image are the same as those in the image.

Thus, the statement is true.

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Let's assume that Mr. Paquette has x pencils.

From the problem, we know that for each pencil he has, he also has 3 pens. So the total number of pens he has is 3 times the number of pencils:

Number of pencils = x

Number of pens = 3x

The total number of pencils and pens combined is given as 8, so we can write:

x + 3x = 8

Simplifying, we get:

4x = 8

x = 2

Therefore, Mr. Paquette has 2 pencils and 3x2=6 pens.

Answer:

The figure is missing