John and Jane went to a bakery to get cookies for a party. Jane bought x cookies that were $3 each. John bought x cookies that were on sale for $1 plus he got a small cake for $10.00. How much did John and Jane each spend, if they spent the same amount of money?​

Answer: 52 degrees.

Step-by-step explanation:

A triangle adds up to 180 degrees total, and we know one angle. 180 minus the known angle (76) is 104.

Because the two lines are the same, the angle at D and F are also the same. Divide 104 in half, and they are both 52 degrees.

Answer:

a = 3

Step-by-step explanation:

\(2(y + 1) = 4(x - a) + 3 \\ 2y + 2 = 4x - 4a + 3 \\ 2y = 4x - 4a + 3 - 2 \\ 2y = 4x - 4a + 1 \\ y = 2x - 2a + \frac{1}{2} \\ y = 2x - \frac{4a + 1}{2} \)

Since the equation "y = mx + c", the equivalent of c = 4a + c

2

Therefore;

\(c = \frac{4a + 1}{2} \\ 6.5 = \frac{4a + 1}{2} \\6.5 \times 2 = 4a + 1 \\ 13 = 4a + 1 \\ 4a = 13 - 1 \\ 4a = 12 \\ a = 12 \div 4 \\ a = 3\)

Answer:

$21.78

Step-by-step explanation:

2.79 X 5 = 13.95

13.95 + 7.83 = 21.78

The integral ∫[2 sin³x cos 7x dx] evaluates to (1/2) * sin²x + C, where C is the constant of integration.

Let's start by using the identity sin²θ = (1 - cos 2θ) / 2 to rewrite sin³x as sin²x * sinx. Substituting this into the integral, we have ∫[2 sin²x * sinx * cos 7x dx].

Next, we can make a substitution by letting u = sin²x. This implies du = 2sinx * cosx dx. By substituting these expressions into the integral, we obtain ∫[u * cos 7x du].

Now, we have transformed the integral into a simpler form. Integrating with respect to u gives us (1/2) * u² = (1/2) * sin²x.

Therefore, the evaluated integral is (1/2) * sin²x + C, where C is the constant of integration.

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Answer:

this gvfyftvyccg c

Step-by-step explanation:

Answer: \(\Large\boxed{4x(x+12)(x-6)}\)

Step-by-step explanation:

Given expression

4x³ + 24x² - 288x

Factorize 4x out from the expression

4x · x² + 4x · 6x - 4x · 72

4x (x² + 6x - 72)

Cross multiply to factorize the remaining polynomial expression

The meaning is to allow the factored product of the constant to add up to the first-degree term

x             12

x             -6

Combine the result

\(\Large\boxed{4x(x+12)(x-6)}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

4x(x + 6)(x - 12).

Step-by-step explanation:

First take out 4x which is the GCF of the 3 terms:

= 4x (x^2 - 6x - 72)

We need 2 numbers whose product is -72 and whose sum is -6.

They are  -12 and + 6 so we have:

4x(x + 6)(x - 12)

One reason a sample may fail to represent the population of interest is sampling error.

The correct answer is an option (c)

We know that the sampling error is a statistical error that occurs when an analyst does not select a sample which represents the entire population of data.

So, the results found in the sample and the results obtained from the entire population would be different.

This error occurs when the sample used in the study is not representative of the entire population.

A sampling error is nothing but a deviation in the sampled value vs. the true population value.

Even randomized samples might have some degree of sampling error because in randomized samples, sample is only an approximation of the population from which it is drawn.

There are different categories of sampling errors.

- Population-Specific Error

- Selection Error

- Sample Frame Error

- Non-response Error

- Eliminating Sampling Errors

Therefore, One reason a sample may fail to represent the population of interest is sampling error.

The correct answer is an option (c)

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We must represent the number 4.082, the options you are giving us are from an apparent decomposition of the previous number

The correct option is B: Four and eighty-two thousandths, It is indeed 4 whole units and 82 thousandths. The other options are not correct

The south side of the park is 142.86 % of the north side of the park.

The correct option is C)

What is a ratio?

A ratio displays the number of times one number is present in another. A ratio describes the quantity of one object in relation to another. The secret to ratios is to consistently divide or multiply the integers by the same number.

We are given a diagram in which we have length of the trapezium. The length of the south side is 40 inches and length of the north side is 28 inches

We simple divide the length of south by length of north and then multiply by hundred to find the answer we get,

(40/28)*100=142.83

Hence the south side of the park is 142.86 % of the north side of the park.

The correct option is C)

Given below is a sample of ratio. please refer the link

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Step-by-step explanation:

Approx  9.81 m/s^2

Answer:

Auto pay -Cable co. -87.77

Step-by-step explanation: It’s for a overdraft so with that being said Uu have to find the number with the negative sign in front of it

The vertex form of the provided equation  y = (x 3)2 (x 4)2 is expressed as  (x+3.5)²+0.5.

Vertex form of parabola is the equation form of quadratic equation, which is used to find the coordinate of vertex points at which the parabola crosses its symmetry.

The standard equation of the vertex form of parabola is given as,

y=a(x-h)^2+k

Here, (h, k) is the vertex point.

The given equation is

\(y = (x +3)^2 +(x+ 4)^2\\y=x^2+9+6x+x^2+16+8x\\y=2x^2+14x+25\)

To convert this equation, into the vertex form, follow the following steps,

\(y=2(x^2+7x+12.5)\\y=2((x+3.5)^2-12.25+12.5)\\y=(x+3.5)^2+0.5\)

Thus, the vertex form of the provided equation  y = (x 3)2 (x 4)2 is expressed as  (x+3.5)²+0.5.

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Answer:

make a line with arrows at the end. On the line, make a hash mark and label it -13. on the hash mark, make a filled-in circle and color the number line to the left of the circle, including the arrow.

Step-by-step explanation:

This is how you show it. :)

Vertex Vertex Vertex

Answer:

An angle can be formed when two rays meet at a common point. The rays are the sides of the angle. The point of the end of two rays is called the vertex.

Step-by-step explanation:

Answer:

the slope-intercept form of the line which is perpendicular bisector to the segment with endpoints A(5,9), B(7,13) is y = (-1/2)x + 14

The lateral surface area of the package in Plan A is not provided in the given information.

The lateral surface area refers to the combined surface area of all the sides of a three-dimensional object, excluding the top and bottom faces. In the given context, the lateral surface area of the package in Plan A is not mentioned or provided. Without the specific dimensions or measurements of the package in Plan A, we cannot calculate or determine its lateral surface area.

To find the lateral surface area of a package or any object, we typically need the dimensions such as length, width, and height. Without this information, it is not possible to generate an answer for the lateral surface area of the package in Plan A.

If the dimensions or any other relevant information about the package in Plan A are provided, I would be happy to assist you in calculating its lateral surface area.

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Answer:

144 in^2

Step-by-step explanation:

Using the A = s^2 and the text says that s= 12in

 the answer is 12 in * 12 in = 144 in^2

Triangle MNO with sides m = 20, n = 14 and angle m ∠ M = 51° can have two possible configurations.

In this problem we have the knowledge of two sides and an angle of triangle MNO, where angle M is opposite to side m. First, determine the possible values for angle N by law of sine:

n / sin (m ∠ N) = m / sin (m ∠ M)

14 / sin (m ∠ N) = 20 / sin 51°

sin (m ∠ N) = (14 / 20) · sin 51°

sin (m ∠ N) = 0.544

There are two possible values for angle N: m ∠ N₁ ≈ 32.957°, m ∠ N₂ ≈ 147.043°. The existence of two different angles indicates that two distinct triangles can be formed.

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Answer:

All the numbers are technically, rational.

Step-by-step explanation:

Answer:

YZ = 12.2

Step-by-step explanation:

YZ bisects XW and VW, therefore it is half of XV

24.4/2 = 12.2

Answer:

Step-by-step explanation:

Example: (1 2/3) (2 3/5)

Turn to improper fractions

1 2/3= 5/3   2 3/5= 13/5

5/3 x 13/5=?

5x13= 65

3x5= 15

Simplify/divide: 65/15 = 4 1/3

Another example. (2 5/6)(3)

Improper fraction:  2 5/6= 17/6

Turn Whole number to fraction: 3= 3/1

17/6 x 3/1

17x3= 51

6x1= 6

51/6

Simplify/divide: 8 1/2

Y = 4 x - 9

y = - 3 x - 5

I hope this will help you

i looked this up and this is what i got

The solution to this expression (√5 - 3√2)(√5 + 3√2) is equal to -13.

In Mathematics and Geometry, the standard form for a difference of two (2) squares is modeled or represented by this mathematical expression:

a² - b² = (a + b)(a - b).

Where:

a and b represent numerical values (numbers or numerals).

Based on the information provided, we have the following mathematical expression:

(√5 - 3√2)(√5 + 3√2);

By comparison, we have the following:

(√5 - 3√2)(√5 + 3√2) = (a + b)(a - b)

a² - b² = (√5)² - (3√2)²

a² - b² = 5 - 18

a² - b² = -13.

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To determine whether the sequence {an} = 5n/4n + 1 is convergent or divergent, we can analyze its behavior as n approaches infinity.

First, let's rewrite the expression for the nth term of the sequence:

an = 5n / (4n + 1)

As n approaches infinity, the denominator 4n + 1 becomes dominant compared to the numerator 5n. Therefore, we can simplify the expression by neglecting the term 5n:

an ≈ n / (4n + 1)

Now, we can consider the limit of the sequence as n approaches infinity:

lim(n→∞) n / (4n + 1)

To evaluate this limit, we can divide both the numerator and denominator by n:

lim(n→∞) (1 / 4 + 1/n)

As n approaches infinity, the term 1/n approaches zero, leaving us with:

lim(n→∞) 1 / 4 = 1/4

Since the limit of the sequence is a finite value (1/4), we can conclude that the sequence {an} = 5n/4n + 1 is convergent.

In other words, as n gets larger and larger, the terms of the sequence {an} get closer and closer to the limit of 1/4. This indicates that the sequence approaches a fixed value and does not exhibit wild oscillations or diverge to infinity. Therefore, we can say that the sequence is convergent.

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Answer:

I think the answer is continuous hope this helps

Step-by-step explanation:

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The maximum volume of his box is approximately 15.

The maximum value of a graph that represents a function is the y-value of the vertex of the parabola, that is, the point where the graph begins to shift from increasing to decreasing.

Thus, in the graph given, the volume is plotted on the y-axis. The graph also shows a parabola that has a vertex at y = 15. This represents the maximum value.

The vertex, which is at y = 15, represents the maximum volume of the box.

Therefore, this means that the maximum volume of his box is approximately 15.

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Answer:

Step-by-step explanation:

Answer: 42

1: 24/4=6

2: 6+1=7

3: 7*6=42

Answer:

I know that it is B but im thinking on what the others can be.

Step-by-step explanation: