Use Structure Tyler explained how he multiplies
0.7 x 0.2. "I multiply 7 x 2 = 14. I know




that a tenth times a tenth is a
hundredth, so I use hundredths to write the product. The product is 0.14."
Use properties to show that Tyler is correct.

Answer:

distributive property of multiplication.

Step-by-step explanation:

He will pick a sample of seniors in this instance.

Given statement,

Dr. Stuart wants to study whether there is a relationship between the number of hours a high school senior spends on social networking sites and their grade point average. he obviously cannot study every 12th grader, so instead, he will select a smaller of seniors to study.

→ In this case he will select a sample of seniors.

→ Dr. Stuart is interested in determining whether there is a correlation between a high school senior's grade point average and the number of hours spent on social networking sites. He will instead choose a smaller sample of seniors to study because he certainly cannot study every student in the 12th grade.

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Por lo tanto, para preparar una tarta de manzana para 4 porciones necesitas 2.83 kg de manzanas, 0.67 kg de harina, 2.67 tazas de azúcar y 0.67 barras de mantequilla.

Si originalmente la receta de la tarta de manzana para 6 porciones requiere 4 kilos y 3 de manzanas, 1 kilo de harina, 4 tazas de azúcar y 1 barra de mantequilla, podemos encontrar la cantidad de ingredientes necesarios para una tarta de 4 porciones utilizando una regla de tres simple.

Para las manzanas, la proporción sería:

4.25 kg (para 6 porciones) / 6 porciones = x kg (para 4 porciones) / 4 porciones

Resolviendo para x, tenemos:

x = 2.83 kg de manzanas

Para la harina, la proporción sería:

1 kg (para 6 porciones) / 6 porciones = y kg (para 4 porciones) / 4 porciones

Resolviendo para y, tenemos:

y = 0.67 kg de harina

Para el azúcar, la proporción sería:

4 tazas (para 6 porciones) / 6 porciones = z tazas (para 4 porciones) / 4 porciones

Resolviendo para z, tenemos:

z = 2.67 tazas de azúcar

Finalmente, para la mantequilla, la proporción sería:

1 barra (para 6 porciones) / 6 porciones = w barra (para 4 porciones) / 4 porciones

Resolviendo para w, tenemos:

w = 0.67 barras de mantequilla

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Answer:

3*r = 3

Step-by-step explanation:

\(\dfrac{24}{r}=3\\\\24 = r*3\\\\\dfrac{24}{3}=r\\\\6 = r\)6 is a solution.

\(3*r=3\\\r =\dfrac{3}{3}\\\\r = 1\\\)

6 is not a solution.

\(7r = 42\\\\r =\dfrac{42}{7}\\\\r = 6\)

6 is a solution

Answer:

My best answer is A

Step-by-step explanation:

if you plug in 6 for r, it doesn't work for A.

B is hard to see so can't tell

C works with r=6, so it's not C

and D works as well, so it's not D

The midpoint formula and the normal vector of the plane can be used to determine the equation of the plane that contains all points equidistant from the points (1,0,-2) and (3,4,0).

Given by: The midpoint of the two points is:

M = [(1 + 3)/2, (0 + 4)/2, (-2 + 0)/2] = (2, 2, -1) (2, 2, -1)

The following vector runs between the two points:

V = (3 - 1, 4 - 0, 0 - (-2)) = (2, 4, 2) (2, 4, 2)

The cross product of two non-parallel plane vectors yields the normal vector to the plane. The midpoint M to a point on the plane is one such vector, while the other is the vector V. Consider the point P = (2, 2, -1) + t(2, 4, 2) as an illustration, where t is a scalar.

The normal vector is then provided by:

N = V x (P - M) = (2, 4, 2) x (2t, 4t, 2t -1), which equals (12t, -8t, 4t + 2)

The point-normal form, which makes use of the normal vector N and the point M, can be used to determine the equation for the plane:

(x - 2) * 12t = (y - 2) * -8t = (z + 1) * 4t + 2

The final equation of the plane is obtained by multiplying both sides of the equation by t and setting t 0.

12(x - 2) = -8(y - 2) = 4(z + 1) + 2

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Answer:

  (a)  four and eighty three hundredths with the three repeating

Step-by-step explanation:

The mixed number 4 5/6 will have a repeating decimal fraction, so finite-length decimals will not express it exactly.

  4 5/6 = 4 +5/6 = (4×6)/6 +5/6 = (24+5)/6 = 29/6 . . . . . not 6/29

As you can see from the long division (attached), the decimal fraction will have repeating 3s.

  \(4\dfrac{5}{6}=4.833... =\boxed{4\dfrac{83.\overline{3}}{100}}\)

The exact value of four and five sixths is represented as "six twenty ninths." So, the correct answer is 2.

The value "four and five sixths" is a mixed number. It consists of a whole number part (4) and a fractional part (5/6).

To represent this value exactly, you need to find a fractional form where the numerator (top part) is 5 and the denominator (bottom part) is 6, which is 5/6.

In fractional form, it's represented as 5/6. However, you can also express it as a decimal, which is approximately 0.8333 when rounded to four decimal places.

So, "four and five sixths" can be expressed as:

- Fraction: 5/6

- Decimal (approximate): 0.8333

The other options provided:

- "Four and eighty-three hundredths with the three repeating" does not accurately represent "four and five sixths."

- "4.8" represents "four and eight-tenths," which is different from "four and five sixths."

- "484%" represents 484 percent, which is not the same as "four and five sixths."

Therefore, "six twenty ninths" or 5/6 is the correct representation for "four and five sixths" in fractional form.

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Answer:

he now weighs a total of 182 pounds.

Step-by-step explanation: got 181 9/12 and when i put it in simplest form, i got 181 3/4

The solution set of the system is the region that satisfies both inequalities, which is the shaded triangle above the line y = x and below the line 3x + 2y = 4.

In mathematics, an inequality is a mathematical sentence that shows the relationship between two expressions using one of the inequality symbols: < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), or ≠ (not equal to).

Inequalities are used to represent a wide range of real-world situations, such as comparing quantities or values, setting constraints, or determining the feasibility of a system of equations or inequalities.

To graph the system of inequalities, we need to first graph the boundary lines for each inequality, and then shade the appropriate region.

For the inequality y < x, we can graph the line y = x as a dashed line, since the inequality is strict. Then we shade the region below the line to represent the solution set, as shown below:

      |

      |         /.

      |       /    .

      |     /        .

      |  /______.

      |        x

      |

------|----------------------------

      y

For the inequality 3x + 2y > 4, we can graph the line 3x + 2y = 4 by first finding its x- and y-intercepts:

When x = 0, we have 2y = 4, or y = 2. So the line intersects the y-axis at (0, 2).

When y = 0, we have 3x = 4, or x = 4/3. So the line intersects the x-axis at (4/3, 0).

We can plot these two points and connect them with a dashed line, as shown below:

      |

      |      .

      |        .

      |         .

      |_________/ 3x + 2y = 4

      |          

------|-------------------

      y

Finally, we need to shade the appropriate region that satisfies the inequality. To do this, we can test a point in each region and see which side of the line satisfies the inequality. For example, the point (0,0) is in the region below the line, and we can plug it into the inequality:

3x + 2y > 4

3(0) + 2(0) > 4

0 > 4

Since this is false, the region containing (0,0) does not satisfy the inequality. We can test another point, say (1,1), which is in the region above the line:

3x + 2y > 4

3(1) + 2(1) > 4

5 > 4

Since this is true, the region containing (1,1) satisfies the inequality. Therefore, we shade the region above the line, as shown below:

      |

      |      .

      |        .

      |         .

      |_________/ 3x + 2y = 4

      |////////////

      |///////// x

------|------------------------

      y

The solution set of the system is the region that satisfies both inequalities, which is the shaded triangle above the line y = x and below the line 3x + 2y = 4.

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Answer:

Look for 75% of 1 1/2, I got 1.125 or 1 1/8

Step-by-step explanation:

Given the equation,

Complete squares as shown below,

Thus,

Similarly,

Therefore,

Finally, the standard form is.

As for the vertices, foci, and asymptotes,

Foci: (-1,-1/2), (9,-1/2)

Vertices

Vertices: (8,-1/2), (0,-1/2)

Asymptotes:

Asymptotes: y=3x/4-7/2 and y=-3x/4+5/2

Answer:i think its 115 degres

Step-by-step explanation:

No, the presence of an effect does not necessarily imply that error variance will go away.

The presence of an effect does not necessarily imply that error variance will go away. In fact, error variance is an inherent part of any statistical model and represents the amount of variation in the response variable that is not explained by the predictor variables.

Even if a predictor variable has a significant effect on the response variable, there may still be some unexplained variation in the response that is attributable to error variance.

It is important to take into account and control for error variance in any statistical analysis, as it can affect the precision and accuracy of the estimates of the model parameters and can also influence the interpretation of the results.

One way to control for error variance is to use appropriate statistical methods, such as analysis of variance (ANOVA), regression analysis, or other modeling techniques that take into account the variability in the data.

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Given:

Consider the given function is

\(y=|8x-3|-3\)

To find:

The vertex , axis of symmetry, and transformations of the parent function?

Solution:

We have,

\(y=|8x-3|-3\)

\(y=\left|8\left(x-\dfrac{3}{8}\right)\right|-3\)

\(y=8\left|x-\dfrac{3}{8}\right|-3\)      ...(i)

It is an absolute function.

The vertex form of an absolute function is

\(y=a|x-h|+k\)       ...(ii)

where, a is a constant, (h,k) is vertex and x=h is axis of symmetry.

From (i) and (ii), we get

\(a=8,h=\dfrac{3}{8},k=-3\)

So,

\(\text{Vertex}:(h,k)=\left(\dfrac{3}{8},-3\right)\)

\(\text{Axis of symmetry}:x=\dfrac{3}{8}\)

Parent function of an absolute function is

\(y=|x|\)

Since, a=8 therefore, parent function vertically stretched by factor 8.

\(h=\dfrac{3}{8}>0\), so the function shifts \(\dfrac{3}{8}\) unit right.

k=-3<0, so the function shifts 3 units down.

Therefore, the vertex is \(\left(\dfrac{3}{8},-3\right)\) and Axis of symmetry is \(x=\dfrac{3}{8}\). The parent function vertically stretched by factor 8, shifts \(\dfrac{3}{8}\) unit right and  3 units down.

Answer:

0.75 cup = 0.1763 liters

Step-by-step explanation:

From the question:

Using the conversion factors given in question

We are converting

0.75 cup to liters

Step 1

Convert cups to pint

1 cup = 0.5 pints

0.75 cup = x pints

x = 0.75 × 0.5 pints

x = 0.375 pints

Step 2

Convert pints to Quart

1 pints = 0.5 quart

0.375 pint = x quart

Cross Multiply

x quart = 0.375 × 0.5 quart

x quart = 0.1875 quart

Step 3

Convert from quart

1 quart = 0.94 liter

0.1875 quart = x liter

Cross Multiply

x liter = 0.1875 × 0.94 liter

x liter = 0.17625 liters

Approximately to 4 significant figures= 0.75 cup = 0.1763 liters

Answer:

0.75 cup = 0.1763 liters

The probability of ordering a caramel macchiato or a muffin is 82%.

Let us denote the Probability of ordering a caramel Macchiato as P(C), the Probability of ordering a muffin as P(M), the probability of ordering both a caramel macchiato and a muffin as P(C ∩ M), and the probability of ordering a caramel macchiato or a muffin P(C ∪  M).

It is given that:

P(C)=72%

P(M)=32%

P(C ∩ M)=22%

We need to find P(C ∪  M).

According to the Union Law of probability, the probability of the union of two events A and B is equal to the sum of their individual probabilities minus the probability of their intersection.

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

In this case:

P(C ∪ M)=P(C)+P(M)-P(C ∩ M)

Upon substituting the given values;

P(C ∪ M)=72%+32%-22%=82%

Hence, the probability of ordering a caramel macchiato or a muffin =

P(C ∪  M) is 82%.

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Answer:

6^2, 3^4, 5^3, and 2^9

Step-by-step explanation:

6^2= 36

3^4= 81

5^3= 125

2^9= 512

Answer:

The cost of Ticket = £63Booking Fee = 3% = 63*(3/100) = 1.89 = £ 1.89The total price of the ticket = £63 + £1.89 = £64.89. Therefore, the total price of the ticket is £64.89.

The amount of money in Iris's checking account can be modeled by a linear function of the form:

y = mt + b

where y is the amount of money in the account, t is the time (measured in years), m is the rate of interest, and b is the initial amount in the account.

In this case, we have m = 0.04 (since the interest rate is 4% per year) and b = 180 (since that's the initial amount in the account). Therefore, the linear function that models the amount of money in Iris's checking account at any time t is:

y = 0.04t + 180

For example, if t = 5 (years), then the amount of money in Iris's checking account is 0.04 * 5 + 180 = 198 dollars.

Viola covered approximately 33.7 meters horizontally while driving 200 meters up a hill that makes an angle of 9 degrees with the horizontal. This can be calculated using trigonometry.

In a right triangle where one angle is 9 degrees and one side is 200 meters (the hypotenuse), the adjacent side (the horizontal distance covered by Viola) can be found by taking the tangent of the angle. The tangent of an angle is equal to the ratio of the length of the opposite side to the length of the adjacent side.

By multiplying the length of the hypotenuse (200 meters) by the tangent of the angle (tan(9)), we can find the length of the adjacent side, which is the horizontal distance covered by Viola. This calculation gives us approximately 33.7 meters.

Therefore, Viola drove 200 meters up the hill and covered approximately 33.7 meters horizontally to get to her destination.

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Answer:

there are 13 players in a team

Answer:35.8

Step-by-step explanation:

It shows that i had to re-do in calculations. But yes and does this go to the quotient or remainder?

Answer:

quotient= 35

reminder= 4

The solution of the nonlinear programming problem is non-negative.

To solve the given nonlinear programming problem using dynamic programming, we need to follow these steps:

We define a set of subproblems based on the constraints and the objective function. In this case, our subproblems can be defined as finding the maximum value of the objective function for different values of x₁, x₂, and x₃, while satisfying the constraint x₁ + 2x₂ + 3x₃ ≤ 7.

Next, we need to establish a recurrence relation that relates the optimal solution of a larger subproblem to the optimal solutions of its smaller subproblems. In our case, let's denote the maximum value of the objective function as F(x₁, x₂, x₃), where x₁, x₂, and x₃ are the variables that satisfy the constraint.

F(x₁, x₂, x₃) = max {5x₁ - x₁² + 3x₂ + x₃³ + F(x₁', x₂', x₃')},

where x₁ + 2x₂ + 3x₃ ≤ 7,

and x₁', x₂', x₃' satisfy the constraint x₁' + 2x₂' + 3x₃' ≤ 7.

Once the table is filled, the final entry in the table represents the maximum value of the objective function for the given problem. We can also backtrack through the table to determine the values of x₁, x₂, and x₃ that yield the maximum value.

Finally, we need to verify that the obtained solution satisfies all the constraints of the original problem. In our case, we need to ensure that x₁ + 2x₂ + 3x₃ ≤ 7 and that x₁, x₂, and x₃ are non-negative.

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8 ÷ 640 x 100,000 = 12,500 defective computer chips

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To write the equation for a circle with a diameter whose endpoints are (1, 14) and (7, -12) in standard form, we'll need to follow the following steps:Step 1: Find the center of the circle by finding the midpoint of the diameter.

= [(x1 + x2)/2, (y1 + y2)/2]Midpoint

= [(1 + 7)/2, (14 + (-12))/2]Midpoint

= (4, 1)So, the center of the circle is (4, 1).Step 2: Find the radius of the circle. The radius of the circle is half the length of the diameter, which is the distance between the two endpoints. The distance formula can be used to find this distance. Diameter

= √((x2 - x1)² + (y2 - y1)²)Diameter

= √((7 - 1)² + (-12 - 14)²)Diameter

= √(6² + (-26)²)Diameter

= √(676)Diameter

= 26So, the radius of the circle is half the diameter or 26/2 = 13.Step 3: Write the equation of the circle in standard form, which is (x - h)² + (y - k)²

= r². Replacing the center (h, k) and radius r, we get:(x - 4)² + (y - 1)² = 13²Simplifying this equation, we get:x² - 8x + 16 + y² - 2y + 1 = 169x² + y² - 8x - 2y - 152

= 0

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Answer:

What is the question?

Step-by-step explanation:

Answer:

Quadrilateral

Four

Parallel

Four

Right

Congruent

Rhombus

Opposite

Connected

Step-by-step explanation: