70% of which number gives me 300?

Answer:

map

Step-by-step explanation:

The expression square root of 25/49 can be given as 5/7

An equation is an expression that shows the relationship between two or more variables and numbers.

Inequality is the non equal comparison of two or more numbers and variables.

The solution to the system of inequalities x – 4y < 4 and y < x + 1 is shown in the graph.

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Answer:

its c

Step-by-step explanation:

Answer:

∠one  and ∠seven

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

9x - 11 + 57 + 80 = 180

9x + 126 = 180

9x = 54

x = 6

Answer:

its x^3 or 1

Step-by-step explanation:

there's nothing else you can do with it

also it might be 1 because x by itself is 1 so x^3 is considered  1^3

Answer:

  ⊥ to AB : x +y = 6

  ⊥ to AC : x -3y = 0

  ⊥ to BC : x +3y = 9

  see the attachment for a graph

Step-by-step explanation:

You want the equations and graphs of the perpendicular bisectors of AB, BC, and AC where the points are A(1, 2), B(4, 5), and C(2, -1). You want to relate this to finding the center of a circle through three non-collinear points.

The perpendicular bisector of a segment PQ with P(x1, y1) and Q(x2, y2) can be written as ...

  (x2-x1)(x -(x1+x2)/2) +(y2-y1)(y -(y1+y2)/2) = 0

Applying this to the given segments, we have ...

  ⊥ to AB : (4 -1)(x -(4+1)/2) +(5 -2)(y -(5+2)/2) = 0   ⇒   x +y = 6

  ⊥ to AC : (2 -1)(x -(2+1)/2) +(-1 -2)(y -(-1+2)/2) = 0   ⇒   x -3y = 0

  ⊥ to BC : (2 -4)(x -(2+4)/2) +(-1 -5)(y -(-1+5)/2) = 0   ⇒   x +3y = 9

The attachment shows a graph of the lines and their single point of intersection.

Each perpendicular bisector is the locus of the centers of circles through the end points of the respective segments. Then the intersection of those bisectors is the center of a circle through all of the points.

Solving any pair of these equations simultaneously gives the circle center as (4.5, 1.5). This is point D on the graph.

The given points are non-collinear, and the intersection of the perpendicular bisectors is the center of a circle through them. The method described in this problem is a suitable method for finding the circle center. (If the three points are considered a triangle, this center is called the "circumcenter.")

__

Additional comment

We have written the equations for the lines in standard form, with a positive leading coefficient and mutually prime integers. You will notice the graphing program wrote the same equations for those lines.

Given:

Jerome ate 1/2 of the sandwich , Kevin ate 1/3 of the sandwich, and Seth ate the rest.

To find:

The ratio of jerome's share to kevin's share to seth's share.

Solution:

Jerome ate 1/2 of the sandwich. So,

Jerome's share = \(\dfrac{1}{2}\)

Kevin ate 1/3 of the sandwich. So,

Kevin's share = \(\dfrac{1}{3}\)

Seth ate the rest. So,

Seth's share = \(1-\dfrac{1}{2}-\dfrac{1}{3}\)

                     = \(\dfrac{6-3-2}{6}\)

                    = \(\dfrac{1}{6}\)

The ratio of jerome's share to kevin's share to seth's share is:

\(\dfrac{1}{2}:\dfrac{1}{3}:\dfrac{1}{6}\)

To simplify the ratio multiply the ratio by 6.

\(\dfrac{1}{2}\times 6:\dfrac{1}{3}\times 6:\dfrac{1}{6}\times 6\)

\(3:2:1\)

Therefore, the ratio of jerome's share to kevin's share to seth's share is 3:2:1.

Answer:

9.65 Hours

Step-by-step explanation:

(100 × 555.65) ÷ 85 =

55,565 ÷ 85 = 653.705882352941 = 653.71

12 x 1.5 = 18

12 x 40=480

653.71 - 480 = 173.71

173.71 ÷ 18 = 9.65055555556 = 9.65

Answer: 25°

Step-by-step explanation:

From the question, Toothy the crocodile wants to eat a delicious chicken and his mouth is open to an angle of 30 degrees but he needs to open his mouth to the angle of 55 degrees for the chicken to fit.

The additional angle that Toothy's mouth needs to be open so he can eat the chicken will be:

= 55° - 30°

= 25°

Answer:

25

Step-by-step explanation:

did it on khan academy

Convenience sampling is not a type of statistical sampling.

What is statistical sampling?

Sampling techniques in a statistical study refer to how participants are chosen from the population to participate in the study.

If a sample isn't chosen at random, it will likely be skewed in some way, and the results might not be generalizable.

Main body:

Simple random sample:

Each individual and group of individuals have the same chance of being selected for the sample. To obtain a basic random sample, one needs technology, random number generators, or some other type of chance mechanism.

stratified Random sample :

The population is first divided into sections. There are some people from each group in the overall sample. Each group's participants are chosen at random.

Cluster sampling:

Grouping the population first, a cluster random sample is taken. Every member of some of the groups makes up the overall sample. The selection of the groups is random.

Hence Convenience sampling is not a type of statistical sampling.

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Answer:  

a

Step-by-step explanation:

reflection acrossv y=-3

Answer:

the answer will be 33

Step-by-step explanation:

The hypothesis test is right-tailed because the alternative hypothesis is that the proportion p is greater than 0.7. The calculated P-value is 0.1562, which is greater than the significance level of 0.05. Therefore, we fail to reject the null hypothesis that p ≤ 0.7. We do not have enough evidence to conclude that the proportion p is greater than 0.7 at a significance level of 0.05.

The hypothesis test is right-tailed because the alternative hypothesis is that the proportion p is greater than 0.7.

To find the P-value, we need to calculate the probability of obtaining a test statistic as extreme or more extreme than the observed value of 1.02, assuming the null hypothesis is true. Since this is a right-tailed test, the P-value is the area to the right of the observed test statistic in the standard normal distribution. We can use a standard normal distribution table or a calculator to find this probability.

P(Z > 1.02) = 0.1562

To determine whether to reject or fail to reject the null hypothesis at a significance level of α = 0.05, we compare the P-value to α. If the P-value is less than α, we reject the null hypothesis. If the P-value is greater than or equal to α, we fail to reject the null hypothesis.

In this case, the P-value is 0.1562, which is greater than α = 0.05. Therefore, we fail to reject the null hypothesis that p ≤ 0.7. We do not have enough evidence to conclude that the proportion p is greater than 0.7 at a significance level of 0.05.

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Answer:

$147

Step-by-step explanation:

$2.00+$10.00+$30.00+$100.00+$5.00

=$147

El dinero total que tenía será de $ 147.00

Dado lo siguiente

La cantidad tenía inicialmente = $ 2.00

La cantidad dada por mamá = $ 10.00

La cantidad recibida de papá = $ 30.00

La cantidad recibida del tío y la tía = $ 100.00

Si tuviera otros $ 5,00

La cantidad total que tenía será la suma de todo el dinero que tenía y los recaudados como se muestra:

Dinero total que tenía = $ 2,00 + $ 10,00 + $ 30,00 + $ 100,00 + $ 5,00

Dinero total que tenía = $ 147.00

Por lo tanto, el dinero total que tenía será de $ 147.00.

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On solving this trigonometry, we find that (a) sec(sin⁻¹ \(\frac{12}{13}\)) = \(\frac{13}{5}\) and (b) tan(sin⁻¹ \(\frac{12}{13}\)) = \(\frac{12}{5}\)

(a) To find the exact value of sec(sin⁻¹ \(\frac{12}{13}\)), we can use the fact that sec(x) = \(\frac{1}{cos}\)(x). Let's draw a right triangle with opposite side 12 and hypotenuse 13. Using the Pythagorean theorem, we can find the adjacent side:

a² + b² = c²

a² + 12² = 13²

a² = 169 - 144

a = √25

a = 5

So our triangle has sides of length 5, 12, and 13. Now we can find cos(sin⁻¹  \(\frac{12}{13}\)) by looking at the adjacent/hypotenuse ratio in this triangle:

cos(sin⁻¹ \(\frac{12}{13}\)) =  \(\frac{5}{13}\)

Therefore, sec(sin⁻¹(12/13)) = 1/cos(sin⁻¹ \(\frac{12}{13}\))

                                            = 1/\(\frac{5}{13}\)

                                            = \(\frac{13}{5}\).

So the exact value of sec(sin⁻¹ \(\frac{12}{13}\)) is \(\frac{13}{5}\).

(b) To find the exact value of tan(sin⁻¹ \(\frac{12}{13}\)), we can use the fact that tan(x) = sin(x)/cos(x). Let's use the same right triangle as before.

Then sin(sin⁻¹ \(\frac{12}{13}\))=  \(\frac{12}{13}\) and cos  \(\frac{12}{13}\)) = \(\frac{5}{13}\)  , so

tan(sin⁻¹ \(\frac{12}{13}\)) = sin(sin⁻¹ \(\frac{12}{13}\))/cos(sin⁻¹\(\frac{12}{13}\))

                        = \(\frac{12}{13}\) / \(\frac{5}{3}\)

                        = \(\frac{12}{5}\)

So the exact value of tan(sin⁻¹ \(\frac{12}{13}\)) is \(\frac{12}{5}\).

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Answer:

30 cm

Step-by-step explanation:

Make sure all units are the same!

P = Perimeter

A = Area

Formula used for similar figures:

\(\frac{A_{1}}{A_{2}} = (\frac{l_{1}}{l_{2}})^{2}\) —- eq(i)

\(\frac{P_{1}}{P_{2}} = \frac{l_{1}}{l_{2}}\) ———— eq(ii)

Applying eq(ii):

∴\(\frac{25}{P_{2}} = \frac{10}{12}\)

Cross-multiplication is applied:

\((25)(12) = 10P_{2}\)

\(300 = 10P_{2}\)

\(P_{2}\) has to be isolated and made the subject of the equation:

\(P_{2} = \frac{300}{10}\)

∴Perimeter of second figure = 30 cm

Answer:

x = -2

-2(-2^2) + 4(-2)

-2(4) + -8

The equation y = -2x³ - 6 represents a nonlinear function.

What is linear function and nonlinear function?

The highest for linear functions is only one, whereas nonlinear functions have more.

The equation y = -2x³ - 6 represents a nonlinear function because the highest power of x, which is 3, is greater than 1. In general, a function is considered linear if it can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept. In this case, the equation cannot be written in that form because of the presence of x³, which makes the relationship between x and y nonlinear.

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Answer:

16

Step-by-step explanation:

because it's g of 7 use the third equation.

(7+1)(7-5) = 8x2 = 16

Answer:$21.2

Step-by-step explanation:

multiply 19.25*6.25 then divide by 100 then add that answer onto 19.25 to then get an estimate of 21.2 dollars

A a gang of 17 bandits stole a chest of gold coins, using Chinese Remainder Theorem the smallest possible number of coins in the chest is given as 7.

The Chinese Remainder Theorem in Mathematics states that, assuming that n and the divisors are pairwise coprime, one may utilise the remainders of n's division by the product of these other numbers to get the unique remainder of n's division by n. (no two divisors share a common factor other than 1).

Apply Chinese Remainder Theorem we get,

x≡3(mod17),

So, (x-3) is divided by 17

so, x = 20

x≡10(mod16),

(x-10) is divided by 16

x = 26

x≡4(mod11)

(x-4) is divided by 11

So, x = 15

x≡0(mod7)

(x-0) is divided by 7.

So, x=7

So smallest possible coin is 7.

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Answer:

1. x = 8

2. x = 12

3. x = 11

4. x = 6

Step-by-step explanation:

1.

102 + 102 = 204

360 - 204 = 156

156 / 2 = 78

78 = 10x - 2

78 + 2 = 10x

80 = 10x

80 / 10 = x

x = 8

2.

81 = 7x - 3

81 + 3 = 7x

84 = 7x

84 / 7 = x

x = 12

3.

77 = 6x + 11

77 - 11 = 6x

66 = 6x

66 / 6 = x

x = 11

4.

115 + 115 = 230

360 - 230 = 130

130 / 2 = 65

65 = 8x + 17

65 - 17 = 8x

48 = 8x

48 / 8 = x

x = 6

The hazard-free POS expressions for the given functions are:

To obtain the hazard-free product of sums (POS) expression for the given functions, we need to follow these steps:

Let's go through each function and apply these steps:

1. Function FEW,X,Y,Z(1,3,4,6,7,11-13):

The given function has the following minterms: 1, 3, 4, 6, 7, 11, 12, and 13.

Writing it in SOP form:

F = WXY'Z' + W'XYZ' + W'XY'Z' + W'XYZ + W'X'Y'Z' + WXY'Z + X'Y'Z' + X'Y'Z

Identifying the essential prime implicants:

Determining the hazard-free prime implicants:

All prime implicants in this case are hazard-free since there are no adjacent minterms.

The hazard-free POS expression is:

F = WXY'Z' + W'XY'Z' + W'X'Y'Z'

2. Function F=EA,B,C,D,E(0,4-7,9,14-17,23) + d(12,29-31):

The given function has the following minterms: 0, 4, 5, 6, 7, 9, 14, 15, 16, 17, and 23.

It also has the don't-care conditions: 12, 29, 30, and 31.

Writing it in SOP form:

F = ABCD'E' + AB'C'D'E + AB'CD'E' + ABC'DE' + ABCDE' + A'BC'D'E' + A'BC'DE' + A'B'C'D'E + A'B'CD'E' + A'B'C'DE' + A'B'CDE'

Identifying the essential prime implicants:

Determining the hazard-free prime implicants:

The hazard-free POS expression is:

F = ABCD'E' + ABCDE' + A'BC'DE' + A'B'CD'E'

So, the hazard-free POS expressions for the given functions are:

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Answer:y=x+6

Step-by-step explanation:

y= slopex+y-intercept

The Cartesian equation for the curve C is:  x = 1 - y^2 the curvature of the curve C is given by κ(t) = 4/(1 + 16sin^2(t))^3/2.

a) To find a Cartesian equation for the curve C, we can eliminate the parameter t by expressing x in terms of y using the equation y(t) = sin(t).

From the parametric equations, we have:

x(t) = cos(2t)

y(t) = sin(t)

Using the trigonometric identity cos^2(t) + sin^2(t) = 1, we can rewrite the equation for x(t) as follows:

x(t) = cos(2t) = 1 - sin^2(2t)

Now, substituting sin(t) for y in the equation above, we have:

x = 1 - y^2

Therefore, the Cartesian equation for the curve C is:

x = 1 - y^2

b) To find the curvature κ(t) of the curve C, we need to calculate the second derivative of y with respect to x (d^2y/dx^2) and substitute it into the formula:

κ(t) = (1 + (dx/dy)^2)^(3/2) * |d^2y/dx^2| / (1 + (dy/dx)^2)^(3/2)

First, let's find the derivatives of x and y with respect to t:

dx/dt = -2sin(2t)

dy/dt = cos(t)

To find dy/dx, we divide dy/dt by dx/dt:

dy/dx = (cos(t)) / (-2sin(2t)) = -1/(2tan(2t))

Next, we find the derivative of dy/dx with respect to t:

d(dy/dx)/dt = d/dt (-1/(2tan(2t)))

          = -sec^2(2t) * (1/2) = -1/(2sec^2(2t))

Now, let's find the second derivative of y with respect to x (d^2y/dx^2):

d(dy/dx)/dt = -1/(2sec^2(2t))

d^2y/dx^2 = d/dt (-1/(2sec^2(2t)))

         = -2sin(2t) * (-1/(2sec^2(2t)))

         = sin(2t) * sec^2(2t)

Substituting the values into the formula for curvature κ(t):

κ(t) = (1 + (dx/dy)^2)^(3/2) * |d^2y/dx^2| / (1 + (dy/dx)^2)^(3/2)

     = (1 + (-1/(2tan(2t)))^2)^(3/2) * |sin(2t) * sec^2(2t)| / (1 + (-1/(2tan(2t)))^2)^(3/2)

     = (1 + 1/(4tan^2(2t)))^(3/2) * |sin(2t) * sec^2(2t)| / (1 + 1/(4tan^2(2t)))^(3/2)

     = (4tan^2(2t) + 1)^(3/2) * |sin(2t) * sec^2(2t)| / (4tan^2(2t) + 1)^(3/2)

     = (4tan^2(2t) + 1)^(3/2) * |sin(2t) * sec^2(2t)| / (4tan^2(2t) + 1)^(3/

2)

Simplifying, we get:

κ(t) = |sin(2t) * sec^2(2t)| = |2sin(t)cos(t) * (1/cos^2(t))|

     = |2sin(t)/cos(t)| = |2tan(t)| = 2|tan(t)|

Since we know that sin^2(t) + cos^2(t) = 1, we can rewrite the expression for κ(t) as follows:

κ(t) = 4/(1 + 16sin^2(t))^3/2

Therefore, the curvature of the curve C is given by κ(t) = 4/(1 + 16sin^2(t))^3/2.

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Answer:

180

Step-by-step explanation:

Sum of adjacent angles in rhombus is 180

Answer:

A(-2,2),. B(−1, −2), and C(-6, 1). Graph the triangle. Then graph the triangle after a translation 7 units right and. 3 units up.

Step-by-step explanation:

After translation 7units left and 17unit up ΔXYZ become ΔX'Y'Z' with new coordinates X'(-14,4) , Y'(-10,8) an Z'(-14,12).

" Translation is defined as the moving a geometrical shape by certain distance."

According to the question,

In ΔXYZ,

Coordinates of X =(-7,-13)

Coordinates of Y = (-3 ,-9)

Coordinates of Z = ( -7, -5)

After translation 7units left and 17units up and rotation 270° counterclockwise around the origin

New coordinates as shown in the drawn graph of ΔX'Y'Z'

Coordinates of X' = (-14, 4)

Coordinates of Y' = (-10, 8)

Coordinates of Z' = (-14,12)

Hence, translation 7units left and 17unit up ΔXYZ gives ΔX'Y'Z' with new coordinates X'(-14,4) , Y'(-10,8) an Z'(-14,12).

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Answer:

2/15

Step-by-step explanation:

Answer: y=(2/5)x-3

Step-by-step explanation:

\(\displaystyle\\The\ slope=\frac{2}{5}\ \ \ \ \ (0,3) \\y=\frac{2}{5}x+b \ \ \ \ \ (1)\\\)

Substitute the coordinates of the point (0,3) into equation (1):

\(\displaystyle\\-3=(\frac{2}{5}) (0)+b\\\\-3=b\\\\Thus,\\\\y=\frac{2}{5}x-3\)

Answer:

her brother is 9

Step-by-step explanation:

21-3=18   18 divided by 2 = 9

Answer:

Genevieve's brother is 9 years old

Step-by-step explanation:

The equation (Genevieve "G", the brother "B")

\(G=2B+3\)

\(21=2B+3\)

\(21-3=2B\)

\(18=2B\)

\(\frac{18}{2} =B\)

\(9=B\)

Hope this helps