URGENT - Will also give brainliest to simple answer​

Answer:

k = 30

Step-by-step explanation:

an equation of proportionality has the form

y = kx ← k is the constant of proportionality

y = 30x ← is in this form

with k = 30

he would fit the child size

his height is 145cm and we want to convert it  into inches so the formula is

length/2.54=

145cm/2.54=57.08in

so juan is 57.08 inches, so he fits the child size.

Answer:

4096.

Step-by-step explanation:

We need to check if it's a geometric or arithmetic sequence (looking for the common ratio, r). The sequence goes -4, 8, -16, 32, so we can multiply the previous number by -2 to get the next number, and so on and so forth. This makes it a geometric sequence.

The formula for finding the nth term of a geometric sequence is [tex]u_{n} = u_{1} r^{n-1}[/tex]. The term we are looking for is the 11th. Let's plug these values in now:

[tex]u_{n} = u_{1}r^{n-1}[/tex]

[tex]u_{11} = -4(-2)^{11-1}[/tex]

[tex]u_{11} = 4096[/tex]

Therefore the 11th term is 4096.

Answer:

In a triangle, the sum of the interior angles is 180 degrees. So, we can set up the following equation:

72° + (x+4)° + A = 180°

where A is the measure of the third angle in the triangle.

Simplifying the equation, we get:

(x+4)° + 72° + A = 180°

x + 76° + A = 180°

Subtracting 76° from both sides, we get:

x + A = 104°

Therefore, an equation that can be used to find the value of x is x + A = 104°, where A is the measure of the third angle in the triangle. Note that we do not have enough information to solve for x or A individually, but we can use this equation to relate the two angles in the triangle.

Answer:

2 2/5

Step-by-step explanation:

First, we convert the fraction to decimal, since 3/5 yards is the same as 3 divided by 5 = 0.6.

Now, multiply 0.6 by 4 ( Sophie is in so 3 friends + 1) = 2.4.

Finally, we convert the decimal back a fraction which is 2 2/5, (2 whole and 2/5).

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Answer:

9m^3

Step-by-step explanation:

since there is a square root remove it and find it square which is 9

Answer: Let us call the centers of the four circles C1, C3, C5, and C7, respectively, where the subscript refers to the radius of the circle. Without loss of generality, we can assume that the tangent point A lies to the right of all the centers, as shown in the diagram below:

                 C7

          o-----------o

       C5 /             \ C3

         /               \

        o-----------------o

                C1

                |

                |

                | l

                |

                A

Let us first find the coordinates of the centers C1, C3, C5, and C7. Since all the circles are tangent to line l at point A, the centers must lie on the perpendicular bisector of the line segment joining A to the centers. Let us denote the distance from A to the center Cn by dn. Then, the coordinates of Cn are given by (an, dn), where an is the x-coordinate of point A.

Using the Pythagorean theorem, we can write the following equations relating the distances dn:

d1 = sqrt((d3 - 2)^2 - 1)

d3 = sqrt((d5 - 4)^2 - 9)

d5 = sqrt((d7 - 6)^2 - 25)

We can solve these equations to obtain:

d1 = sqrt(16 - (d7 - 6)^2)

d3 = sqrt(4 - (d7 - 6)^2)

d5 = sqrt(1 - (d7 - 6)^2)

Now, let us consider the region S that lies inside exactly one of the four circles. This region is bounded by the circle of radius 1 centered at C1, the circle of radius 3 centered at C3, the circle of radius 5 centered at C5, and the circle of radius 7 centered at C7. Since the circles are all tangent to line l at point A, the boundary of region S must pass through point A.

The maximum possible area of region S occurs when the boundary passes through the centers of the two largest circles, C5 and C7. To see why, imagine sliding the circle of radius 1 along line l until it is tangent to the circle of radius 3 at point B. This increases the area of region S, since it adds more points to the interior of the circle of radius 1 without removing any points from the interior of the other circles. Similarly, sliding the circle of radius 5 along line l until it is tangent to the circle of radius 7 at point C also increases the area of region S. Therefore, the boundary of region S must pass through points B and C.

Using the coordinates we obtained earlier, we can find the x-coordinates of points B and C as follows:

x_B = a - 2 - sqrt(9 - (d7 - 6)^2)

x_C = a + 6 + sqrt(9 - (d7 - 6)^2)

To maximize the area of region S, we want to maximize the distance BC. Using the distance formula, we have:

BC^2 = (x_C - x_B)^2 + (d5 - d3)^2

Substituting the expressions we derived earlier for d3 and d5, we get:

BC^2 = 32 - 2(d7 - 6)sqrt(9 - (d7 - 6)^2)

To maximize BC^2, we need to maximize the expression inside the square root. Let y = d7 - 6. Then, we want to maximize:

f(y) = 9y^2 - y^4

Taking the derivative of f(y) with respect to y and setting it equal to zero, we get:

f'(y) = 18y - 4y^3 = 0

This equation has three solutions: y = 0, y = sqrt(6)/2, and y = -sqrt(6)/2. The only solution that gives a maximum value of BC^2 is y = sqrt(6)/2, which corresponds to d7 = 6 + sqrt(6)/2.

Substituting this value of d7 into our expressions for d1, d3, and d5, we obtain:

d1 = sqrt(16 - (sqrt(6)/2)^2) = sqrt(55/2)

d3 = sqrt(4 - (sqrt(6)/2)^2) = sqrt(19/2)

d5 = sqrt(1 - (sqrt(6)/2)^2) = sqrt(5/2)

Using these values, we can compute the coordinates of points B and C as follows:

x_B = a - 2 - sqrt(9 - (sqrt(6)/2)^2) = a - 2 - sqrt(55)/2

x_C = a + 6 + sqrt(9 - (sqrt(6)/2)^2) = a + 6 + sqrt(55)/2

The distance between points B and C is then:

BC = |x_C - x_B| = 8 + sqrt(55)

Finally, the area of region S is given by:

Area(S) = Area(circle of radius 5 centered at C5) - Area(circle of radius 7 centered at C7)

= pi(5^2) - pi(7^2)

= 25pi - 49pi

= -24pi

Since the area of region S cannot be negative, the maximum possible area is zero. This means that there is no point that lies inside exactly one of the four circles. In other words, any point that lies inside one of the circles must also lie inside at least one of the other circles.

Step-by-step explanation:

The amount of space that the flower pot will take up is: 38.47 cm²

We are given that the bottom of the given flower pot has a diameter of 7 cm.

Now, the space that the flower pot will cover is simply the area the the circle base.

Formula for the area of a circle is:

A = πr²

where:

A is area

r is radius

We have d = 7 cm

Thus: r = 7/2 = 3.5 cm

A =  π * 3.5²

A = 3.14 * 3.5²

A = 38.47 cm²

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With an initial investment of $19,675.13 and yearly deposits of $3,000 at an interest rate of 9.25%, the account will be worth around $336,312.91 in 25 years.

The unitary approach is a strategy for problem-solving in which the value of one piece of a quantity is determined, then the cost of an unique number of units associated with that quantity is subsequently determined using that value. In other words, it's a method of proportional used to resolve issues where one unit's value is known but another's value is needed. The unitary method's fundamental premise is to establish a percentage between two quantities, one of which is stated in the form of one unit and the other in terms of a greater number of units.

given

In the following ten years, we have:

P = $4,750 r = 6.9% = 0.069

n = 10

[tex]FV2 = $4,750 * ((1 + 0.069)^10 - 1) / 0.069[/tex]

= $74,894.87

In the previous five years, we have:

P = $4,750

r = 4.5% = 0.045

n = 5

= $127,756.44

Lastly, we can combine the two figures to determine the account's entire future value:

FV is $208,556.47 + $127,756.44 = $336,312.91 (annual deposits + initial investment).

With an initial investment of $19,675.13 and yearly deposits of $3,000 at an interest rate of 9.25%, the account will be worth around $336,312.91 in 25 years.

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The width of the parking lot in the drawing is 16 centimeters

Gabby made a scale drawing of the town library. She used the scale 1 centimeter : 5 meters. The actual width of the parking lot is 80 meters.

If the scale is 1 centimeter : 5 meters, then 1 centimeter on the drawing represents 5 meters in real life.

To find the width of the parking lot in the drawing, we need to set up a proportion

1 cm : 5 m = x cm : 80 m

Where x is the width of the parking lot in the drawing.

To solve for x, we can cross-multiply and simplify

1 cm * 80 m = 5 m * x cm

80 cm = 5x

x = 16 cm

Therefore, the width of the parking lot in the drawing is 16 centimeters.

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The x² value lie between 1.42 and 2.37

The formula to calculate the x² value is:

χ² = Σ (Observed frequency - Expected frequency)² / Expected frequency

Here, Σ represents the sum of all the values in the calculation. The observed frequency is the actual frequency of a category in the sample, while the expected frequency is the theoretical frequency based on the null hypothesis.

The x² value is compared to a chi-squared distribution table to determine its significance level. The table shows the probability of obtaining a certain x² value under the null hypothesis for different degrees of freedom. Degrees of freedom (df) are calculated as the number of categories minus 1.

If the calculated x² value is greater than the critical value from the table for a given significance level, the null hypothesis is rejected, and the alternative hypothesis is accepted. This means that there is a significant relationship between the variables. If the calculated x² value is less than the critical value, the null hypothesis is accepted, and no significant relationship is found.

In the context of the problem given, the x² value is used to test the hypothesis that the genes are unlinked. The significance level used is 0.05, which means that there is a 5% chance of rejecting the null hypothesis when it is actually true. If the probability corresponding to the x² value is less than or equal to 0.05, the hypothesis should be rejected. If it is greater than 0.05, the results are not statistically significant, and the hypothesis is accepted.

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Complete Question:

The x² value means nothing on its own- it is used to find the probability that, assuming the hypothesis is true, the observed data set could have resulted from random fluctuations. A low probability suggests that the observed data are consistent with the hypothesis, and thus the hypothesis should be rejected, A standard cutoff point used by biologists is a probability of 0.05(5%). If the probability corresponding to the x² value is 0.05or considered statistically significant, the hypothesis (that the genes are unlinked) should be rejected. If the probability is above 0.05, the results are not statistically significant: the observed data are consistent with the hypothesis.

Determines which values on the df =3 line of the table your calculated x² value lies between.

Answer:c the third one

Step-by-step explanation: because i did it!

Answer:

  294.7 mL

Step-by-step explanation:

You want to know the volume (x) in mL of 0.5% solution to be added to 100 mL of 2% solution to make a mix that has a concentration of 0.88%.

The given equations seem to be missing something. We want ...

  100(0.02) +x(0.005) = (100 +x)(0.0088)

We like to play with larger numbers, so we'll multiply this equation by 100 as we simplify it.

  200 +0.5x = 88 +0.88x

  112 = 0.38x . . . . . . . . . . . . . subtract 88+0.5x

  294.7 = x . . . . . . . . . . . . divide by 0.38

You must add approximately 294.7 mL of 2% solution.

So, the circle graph entitled New York City visitor's transportation with five sections labelled walk 40%, bicycle 8%, car service 15%, bus 10%, and subway 27% is the proper option that displays the data in the circular graphs.

A circle represents 360 degrees. A circle can be split up into smaller sections. An arc is a segment of a circle, and arcs are named based on their angles.

To illustrate information and data, use a circle graph or pie chart. Often, a circle graph is used to quickly and proportionately display the findings of an investigation.

Given data:

Type of Transportation      Number of Visitors  Percentage

Walk                                    120                            120*100/ 300 = 40%

Bicycle                                 24                            24*100/ 300 = 8%        

Car Service                         45                            45*100/ 300 = 15%

Bus                                      30                            30*100/ 300 = 10%

Subway                               81                             81*100/ 300 = 27%

Total                                   300

So, the circle graph entitled New York City visitor's transportation with five sections labelled walk 40%, bicycle 8%, car service 15%, bus 10%, and subway 27% is the proper option that displays the data in the circular graphs.

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Answer:

y = (-5/9)x + 30/9

Step-by-step explanation:

To rewrite the equation 5x + 9y = 30 in slope-intercept form, we need to isolate y on one side of the equation.

5x + 9y = 30

Subtract 5x from both sides of the equation to isolate 9y:

5x - 5x + 9y = -5x + 30

9y = -5x + 30

Divide both sides of the equation by 9 to solve for y:

9y/9 = (-5x + 30)/9

y = (-5/9)x + 30/9

The measure of angle 1 is 67.4°. The measure of angle 2 is 104.5°.

An angle is the measure of the amount of rotation between two lines or two planes that meet at a point. It is typically measured in degrees or radians. An angle can be acute, meaning it is less than 90 degrees, right, meaning it is exactly 90 degrees, obtuse, meaning it is greater than 90 degrees but less than 180 degrees, or straight, meaning it is exactly 180 degrees. An angle can also be positive or negative, depending on the direction of rotation between the lines or planes. Angles are used in various fields such as mathematics, engineering, physics, and geometry.

Here,

180-121.8=58.2°

180-(58.2+17.3)=104.5°

180-104.5=75.5°

180-(75.5+37.1)=67.4°

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Carbon 14 has a half-life of 5,600 years, which means that after 5,600 years, half of the initial amount of Carbon 14 will decay. Therefore, we can use the following formula to find the amount of Carbon 14 that was present 11,200 years ago:

A = A0 * (1/2)^(t/T)

where:

A0 = initial amount of Carbon 14

A = amount of Carbon 14 remaining after time t

t = time elapsed since the initial amount was present

T = half-life of Carbon 14

We know that the fossil contains 3 g of Carbon 14, which is the amount remaining after 11,200 years. We want to find the initial amount, A0.

Let's plug in the values we have into the formula and solve for A0:

3 g = A0 * (1/2)^(11,200/5,600)

3 g = A0 * (1/2)^2

3 g = A0 * 1/4

A0 = 4 * 3 g

A0 = 12 g

Therefore, the fossil contained 12 g of Carbon 14 11,200 years ago.

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The explicit formula for the nth term of the sequence 14, 16, 18, ... is an = 2n + 12.

In mathematics, a sequence is an ordered list of elements that follow a specific pattern or rule. The elements can be numbers, letters, or other objects. Each element in the sequence is called a term, and the position of a term in the sequence is determined by its index or subscript.

The given sequence is an arithmetic sequence with a common difference of 2.

The first term (a₁) is 14.

The nth term of an arithmetic sequence can be found using the formula:

aₙ = a₁ + (n - 1)d

where d is the common difference.

Substituting the given values, we get:

aₙ = 14 + (n - 1)2

Simplifying, we get:

aₙ = 2n + 12

Therefore, the explicit formula for the nth term of the sequence 14, 16, 18, ... is an = 2n + 12.

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Answer:

what are the options?

Step-by-step explanation:

Answer:

the answer of the sequence is a

It would take about 8.59 months for the football player to double his current following, assuming that his follower count continues to increase at a rate of 9% per month.

To find out how long it would take for the football player to double his current online following of 105,326, we need to find the distance from his starting point to the doubling point. In other words, we need to find out how many followers he needs to gain in order to have 2 times his current following.

To do this, we can use the formula for exponential growth:

A = P(1 + r)ⁿ

where A is the final amount, P is the initial amount, r is the rate of growth (in decimal form), and t is the time (in months).

In this case, we want to find t, the time it would take for the football player to double his current following. So we can rewrite the formula as:

2P = P(1 + 0.09)ⁿ

Simplifying this equation, we can divide both sides by P:

2 = (1 + 0.09)ⁿ

Taking the natural logarithm of both sides, we get:

ln(2) = t ln(1 + 0.09)

Solving for t, we divide both sides by ln(1 + 0.09):

t = ln(2) / ln(1 + 0.09)

Using a calculator, we get t ≈ 8.59 months.

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Answer:

Any linear equation with a slope of 1.5

(examples:

Step-by-step explanation:

If two equations are parallel, their slopes are the same.

y=1.5x-6 is written in slope-intercept form, which is:

[tex]y=mx+b[/tex]

Where m is the slope, and b is the y-coordinate of the y-intercept.

Thus, looking at the equation y=1.5x-6, we can find that m=1.5.

This means that the slope is 1.5.

Think of any equation in this format that uses 1.5 as the slope. Here are a few examples:

The graphs of all of these equations are parallel to the graph of y=1.5x-6 because their slopes are the same.

You can write your own equation using a slope of 1.5.

The value of x in the triangle is 17.6 m.

Trigonometry deals with the relationships between the sides and angles of triangles.

The three primary trigonometric functions are sine, cosine, and tangent, which are ratios of the sides of a right triangle. These functions are often abbreviated as sin, cos, and tan.

Using the given triangle:

cos 54° = x/30   (cos = adjacent/hypotenuse)

x = 30 * cos 54°

x = 17.6 m

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The equation of a parabola with a vertex at (-1, -1) is y = (x +1)²- 1.

X is the adjacent side and is 50 inches long.

Using the trigonometric ratio of cosine:

cos(60 degrees) = adjacent / hypotenuse

cos(60 degrees) = 1/2 (cosine of 60 degrees is 1/2)

So, we can solve for the X, the adjacent:

adjacent = cos(60 degrees) x hypotenuse

adjacent = (1/2) x 100 inches

adjacent = 50 inches

Therefore, the length of the adjacent is 50 inches.

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The assertion will be correct and the reason provided is also correct.

A rational number is termed as a number which can be represented as the ratio of the two integers, where the denominator (q) will be not equal to zero. In other words, a rational number can be expressed in the form of a p/q, where p and q are the integers and q ≠ 0.

In the given reason, 17/3 is cited as an example of a rational number. Since both 17 and 3 are integers, and 3 ≠ 0, 17/3 can be expressed as the ratio of two integers, making it a rational number.

Therefore, the assertion will be true, and the reason provided is correct.

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Answer:

7) .15 + .7 = .85, .1 + .7 = .8

9) Another way to write 44n (44

times n) is 44•n.

Another way to write 44 ÷ n (44

divided by n) is 44/n.

10) $.25 × 7 = $1.75

11) A driver buys d gallons of gas at $3.25 per gallon. How much does the driver spend on gas?