Given: 8x - 3y = -21, 3x + y = -10; Prove: x = -3

Answer:

I'm pretty sure it's 24 But you can check again with someone else.

Step-by-step explanation:

1/3 of 24 is 8 and 5 less meaning, 5 is subtracted from 8 gives you 3

Answer:

A

Step-by-step explanation:

BD = 12

BC = 12/2 => 6

using Pythagoras theorem

AB² = AC² + BC²

AB² = 3² + 6²

AB² = 9 + 36

AB² = 45

AB = √45 (A)

Colin has lived by the biblical ideal of avoiding debt, purchasing the lowest item, repaying a loan, and being financially honest.

With an auto loan, you may borrow money from a bank and use it to purchase a vehicle. The loan must be repaid with interest over a defined period of time in fixed instalments from you.

Lenders will aim for a credit score of at least 750 when you apply for a vehicle loan.

The additional costs won't dramatically raise the price of the automobile because of the low interest rate. The periodic payments won't put undue strain on your current or next finances.

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Answer:

34

Step-by-step explanation:

substitute x = 6, y = - 2 into the expression

5x - 2y

= 5(6) - 2(- 2)

= 30 + 4

= 34

The dependent variable in this study is the number of times the students got out of their seats over the course of 2 hours.

The independent variable is the variable that is being manipulated or controlled by the researcher.

It is the variable that is expected to cause a change in the dependent variable which is the variable being measured as the outcome or response to the manipulation of the independent variable.

In the given scenario, the independent variable is the group assignment based on the scores on the sensation-seeking test.

The researcher has divided the students into two groups based on their scores, and this grouping is being used as a way of manipulating or controlling the students' level of sensation-seeking behavior.

The researcher is interested in how this manipulation affects the students' behavior in terms of getting out of their seats.

The dependent variable is the number of times the students got out of their seats over the course of 2 hours.

This variable is expected to vary depending on the level of the independent variable, which is the group assignment based on the sensation-seeking test scores.

The researcher will measure the dependent variable for each group separately and then compare the results to determine if there is a significant difference between the two groups.

In summary,

The independent variable is the grouping of the students based on their scores on the sensation-seeking test and the dependent variable is the number of times the students got out of their seats over the course of 2 hours.

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The consumer price index of the raincoat by using the todays and the 1983 costs of raincoat is given by option b 151.

Todays cost of raincoat = $79.25

Cost of raincoat in 1983 = $52.48

Calculate the CPI (Consumer Price Index) in 1983,

Use the formula we have,

CPI = (Cost of the raincoat today / Cost of the raincoat in 1983) x 100

Plugging in the values given in the problem, we get,

⇒ CPI = ($79.25 / $52.48) x 100

⇒ CPI = 1.51009 x 100

⇒ CPI = 151.009

Rounding this to the nearest whole number gives a CPI of $151.

Therefore, the best answer to represent the consumer price index of the raincoat is equals to option  (b) 151.

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Answer:

17

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

42/-6+5

-7+5 = -2

The probability that the cab involved in the incident was Blue rather than Green, given that the witness identified it as Blue, is approximately 0.4138 or 41.38%.

To determine the probability that the cab involved in the incident was Blue rather than Green, we can use Bayes' theorem.

Let's define the events:

A: The cab involved in the incident was Blue.

B: The witness identified the cab as Blue.

We are given the following probabilities:

P(A) = 0.15 (15% of cabs are Blue)

P(B|A) = 0.80 (the witness correctly identified a Blue cab as Blue)

P(B|¬A) = 0.20 (the witness incorrectly identified a Green cab as Blue)

We want to calculate the probability that the cab was Blue given that the witness identified it as Blue, i.e., P(A|B).

According to Bayes' theorem:

P(A|B) = (P(B|A) * P(A)) / P(B)

To calculate P(B), we need to consider the probabilities of two mutually exclusive events:

The witness identified a Blue cab correctly (event A) and

The witness identified a Green cab incorrectly (event ¬A).

Therefore, P(B) = P(B|A) * P(A) + P(B|¬A) * P(¬A)

P(¬A) = 1 - P(A) = 1 - 0.15 = 0.85 (85% of cabs are Green)

Now, we can substitute the given values into Bayes' theorem:

P(A|B) = (P(B|A) * P(A)) / (P(B|A) * P(A) + P(B|¬A) * P(¬A))

= (0.80 * 0.15) / (0.80 * 0.15 + 0.20 * 0.85)

= 0.12 / (0.12 + 0.17)

= 0.12 / 0.29

≈ 0.4138

Therefore, the probability that the cab involved in the incident was Blue rather than Green, given that the witness identified it as Blue, is approximately 0.4138 or 41.38%.

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Answer:

400 in²

Step-by-step explanation:

Consider the figure as a triangle on top of a parallelogram. The tic marks on the sides mean that the lengths with the same tic marks are equal.

The area of the parallelogram is 20×16=320

The area of the triangle is (20×8)/2= 80

Add the two areas: 320 + 80 = 400

The best possible prediction of obtaining a three during the die roll is 1 time .

The probability of an event is the ratio of the required outcome to the total possible outcome.

Mathematically,

Probability = required outcome / Total possible outcome

Here ,

required outcome = Number of 3's on a die = 1

total possible outcome = number of sides on a die= 6

P(obtaining a 3 ) = 1/6

After 6 rolls ; (6 × 1/6) = 1

The best prediction for the number of times a 3 can be obtained after 6 rolls is 1

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The period of the graph is 18 seconds

The period of a wave is the amount of time taken by a wave to complete one cycle. The period is measured in second.

To determine the period from a wave graph, follow these steps:

1. Choose two points on the graph that are on the same wave cycle.

2. Measure the time difference between the two points.

3. The time difference is the period of the wave.

Check the attached image for illustration. That is:

Period (T) = 24 - 6 = 18 seconds

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The place value of 4 in 49.012.

It should be noted that place value is simply used to know the value of a number based on how the number is arranged.

In this case, the place value of 4 in 49.012 is 4 tens.

It should be noted that 4 tens is also the same thing as 40.

Therefore, the correct option is 40.

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The required value of \(dxdg​sinx= cos(x) × (11 - 6sin(sin(x)) - 6 / cos²(sin(x))) ÷ (11 - 6sin(sin(x)) - 6sec²(sin(x)))\)is given by the above.

Given function: g(x)=11x+6cos(x)−6tan(x)

We are asked to find dxdg​sinx

We can start by using the chain rule:

                             dy/dx=dydu×dudx

Let u = sin(x)So we can say that y = g(u) = 11u + 6cos(u) - 6tan(u)

Then dydu = 11 - 6sin(u) - 6sec²(u).

Using trigonometric identities: sec²(x) = 1 + tan²(x)

Therefore, sec²(u) = 1 + tan²(u) = 1 + sin²(u)cos²(u) / cos²(u) = (1 + sin²(u)) / cos²(u).

Plugging in the value of sin(u) and cos(u) from u = sin(x): sin(u) = sin(sin(x)) cos(u) = cos(sin(x))

Then we have:sec²(u) = (1 + sin²(sin(x))) / cos²(sin(x))

Now, we can substitute back:dydu = 11 - 6sin(sin(x)) - 6(1 + sin²(sin(x))) / cos²(sin(x))

Let's simplify this expression:dydu = 11 - 6sin(sin(x)) - 6cos²(sin(x)) / cos²(sin(x)) - 6sin²(sin(x)) / cos²(sin(x))dydu = 11 - 6sin(sin(x)) - 6 / cos²(sin(x))

Therefore, dxdg​sinx = dxdu × dydx÷dydu

Now we just need to plug in the derivatives: dxdu = cos(x)dydx

                          = 11 - 6sin(sin(x)) - 6 / cos²(sin(x))dydu

                           = 11 - 6sin(u) - 6sec²(u)dydu

                             = 11 - 6sin(sin(x)) - 6 / cos²(sin(x))

Therefore: dxdg​sinx = dxdu × dydx÷dydu= cos(x) × (11 - 6sin(sin(x)) - 6 / cos²(sin(x))) ÷ (11 - 6sin(sin(x)) - 6sec²(sin(x)))

Hence, the required value of dxdg​sinx= cos(x) × (11 - 6sin(sin(x)) - 6 / cos²(sin(x))) ÷ (11 - 6sin(sin(x)) - 6sec²(sin(x))) is given by the above.

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This is the answer to your problem

Answer:

5 Gallons of paint

Step-by-step explanation:

840 square ft one Gallons covers 190 square ft

2. For new recipes on making 36 pieces of chocolate cake:

To multiply a fraction by 3, we simply multiply the numerator (top number) by 3 while leaving the denominator (bottom number) unchanged. So:

Original: 2 cups of flour

New: 2/1 x 3/1 = 6/1 = 6 cups of flour

Original: 1/2 cup chocolate chips

New: 1/2 x 3/1 = 3/2 cups of chocolate chips

Original: 4 teaspoons cinnamon

New: 4/1 x 3/1 = 12/1 = 12 teaspoons of cinnamon

Original: 1 teaspoon baking powder

New: 1/1 x 3/1 = 3/1 = 3 teaspoons of baking powder

Original: 1 tablespoon vanilla

New: 1/1 x 3/1 = 3/1 = 3 tablespoons of vanilla

To make it easier to visualize the scaling up of the recipe, use a diagram like a bar model. For example, if we use a bar to represent the original amount of flour (2 cups), we can divide it into 12 equal parts to represent the 12 pieces of cake in the original recipe. Then, we can use the same bar to represent the new amount of flour (6 cups), and divide it into 36 equal parts to represent the 36 pieces of cake in the new recipe.

Here's a diagram showing the scaling up of the flour:

Original recipe:

2 cups of flour

| | | | | | | | | | | | |

1 2 3 4 5 6 7 8 9 10 11 12

New recipe:

6 cups of flour

| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36

Use a similar bar model to represent the other ingredients and scale them up accordingly.

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Image transcribed:

2. Here are some of the ingredients of the chocolate cake. Increase the recipe so that 36 pieces can be made. Show your work with numbers and diagrams..

Original: 2 cups of flour New:

6X3 19

3x2

Original:

New. cup chocolate chips

Original: 4 teaspoon cinnamon

New:

6x+ 4

Original: teaspoon baking powder 5

New:

Original: tablespoon vanilla

New:

Answer:

∠ C = 25°

Step-by-step explanation:

the sum of the 3 angles in a triangle is 180°

sum the 3 angles and equate to 180°

30° + 125° + ∠ C = 180°

155° + ∠ C = 180° ( subtract 155° from both sides )

∠ C = 25°

Answer:

We all know that the sum of a polygon with 3 sides(triangle) is 180.

therefore A + B + C = 180 (now u can substitute)

30 + 125 + C = 180

155 + C = 180

155 - 155 + C = 180 - 155         (subtract 155 both sides)

C = 25

Step-by-step explanation:

Answer:

1. ΔUJN ≅ ΔUGN by SAS rule of congruency

2. Side Angle Side Rule of congruency

3. JN ≅ GN, ∠JUN ≅ ∠NUG, ∠UNJ ≅ ∠UNG, NU ≅ NU

4. UN bisects angle ∠JUG and UN bisects segment JG

Step-by-step explanation:

The given figure consists of three triangles

1. ΔUJN, 2. ΔUGN, and 3. ΔUJG

Whereby segment UN is perpendicular to segment JG, we have;

ΔUJN and ΔUGN are right triangles

∴ ∠UNJ = ∠UNG = 90° by definition of segment UN being perpendicular to segment JG

NU ≅ NU by reflexive property

Whereby UN bisects ∠JUG and segment JG, we have;

JN = GN by definition of a bisected segment

Therefore, we have;

1. ΔUJN ≅ ΔUGN by SAS rule of congruency

2. Side Angle Side Rule of congruency

3. JN ≅ GN, ∠JUN ≅ ∠NUG, ∠UNJ ≅ ∠UNG, NU ≅ NU

4. UN bisects angle ∠JUG and UN bisects segment JG

The 10th term of the geometric sequence with a(11) = -5 and r = -1/2 is a(10) = 10.

A geometric sequence is a sequence of numbers where the nth term is obtained by multiplying the (n-1)th term by a constant, called a common ratio (r). Mathematically, it can be expressed as:

a(n) = a(n-1) . r

So, if  a(1), a(2), a(3), ..., a(n) is a geometric sequence, then:

a(2) = a(1) . r

a(3) = a(1) . r

and so on.

In the problem, the given parameters are: a(11) = -5 and r = -1/2, and we need to find a(10).

Using the above recursion:

a(11) = a(10) . r

-5 = a(10) . (-1/2)

Multiply both sides by (-2)

-5 . (-2) = a(10) . (-1/2) . (-2)

a(10) = 10

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Answer:

0.1

Step-by-step explanation:

Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator

Logistic regression models the probability of a binary outcome, while CART models segment data into categories. For example, CART is preferable when data has complex interactions, as it can partition data into multiple categories.

Logistic regression and classification and regression trees (CART) are two different machine learning models used for binary classification problems. Logistic regression models the probability of one class or the other based on a linear combination of input variables. This makes it useful for predicting a binary outcome, such as whether a customer will purchase a product or not. On the other hand, CART is a decision tree model that divides data into categories. It uses a tree-like structure to split the data into segments based on the input features. This makes it useful for dealing with data with complex interactions, as it can partition data into multiple categories. For example, a CART model would be preferable to a logistic regression model if there are multiple underlying factors that affect the binary outcome. In this case, a CART model could more accurately identify the categories that are associated with a particular outcome. Overall, CART models are superior for dealing with data with complex interactions, whereas logistic regression is better for simpler data.

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In match play, when the players agree to consider the hole tied after it has begun, the ruling is known as "halving the hole."

In match play, if the players agree to consider the hole tied after it has begun, the hole is deemed halved, and the players move on to the next hole without any penalty strokes. This is called "conceding the hole" and is a common practice in match play.

This means that both players receive half a point for the hole, and the match proceeds to the next hole.

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The bowl must hold at least 36 teaspoons to prepare the ingredients for 12 cupcakes.

To answer this question, we first need to determine how many teaspoons of each ingredient are required for 12 cupcakes. If the recipe calls for 1 teaspoon of baking powder, 1 teaspoon of salt, and 1 teaspoon of baking soda for each cupcake, then for 12 cupcakes, we would need 12 teaspoons of each ingredient.

So the bowl must hold at least 12 + 12 + 12 = 36 teaspoons in total.

It's always a good idea to have a little extra room in the bowl, so it's probably better to use a bowl that can hold a little more than 36 teaspoons. This will allow for room to mix the ingredients without them spilling over.

In conclusion, the bowl must hold at least 36 teaspoons to prepare the ingredients for 12 cupcakes.

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Answer

put 1 on top and exo on bottom

Step-by-step explanation:

Answer:

10 hours to do it

Step-by-step explanation:

8-6= 2

8+2=10

Answer:

Measure 2 is 149

Step-by-step explanation:

Answer:

149°

Step-by-step explanation:

Since this is a supplementary angle to Angle measure 1, it makes the two equal 180. Your angle M2 = 149

The value of f.g(-3) is -18.

According to the question,

We have the following information:

f(a) = a-1 and g(a)= a² + a

Now, we have to find the value of f.g(-3).

So, we will first find the product of f ad g. We know that when two terms are in multiplication and their base is the same then their powers are added.

f.g = (a-1) (a² + a)

f.g = \(a^{3} +a^{2} -a^{2} -a\)

f.g = \(a^{3} -a\)

Now, we will put the value of a in this expression as -3 and then we will solve the expression:

f.g(-3) = \((-3)^{3} -(-3)\)

f.g(-3) = -27+9

f.g(-3) = -18

Hence, the value of f.g(-3) is -18.

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Answer:

creo que es hay 15también eso yo pienso

Answer:

First building = 456

Second building = 438

Third building = 383

Step-by-step explanation:

First building = 73 + x

Second building = 55 + x

Third building = x

Total height of three buildings = 1277

(73 + x) + (55 + x) + (x) = 1277

73 + x + 55 + x + x = 1277

128 + x + x + x = 1277

128 + 3x = 1277

3x = 1149

x = 383

This is the height of the third building.

First building = 73 + x = 73 + 383 = 456

Second building = 55 + x = 55 + 383 = 438