A rectangle tabletop has an area of 28 1/8 square feet and a length of 6 1/4 feet. What is the width of the tabletop?

Answer: 412.5 ml

Step-by-step explanation:

500 ( 1 - 25%) ( 1 + 10%)

= 412.5 ml

Answer:

412.5 ml

Step-by-step explanation:

To decrease 500 ml by 25%, you would need to multiply 500 by 0.25 to find the amount of decrease:

Subtract that amount from the original value:

Therefore decreasing 500 ml by 25% would give us 375 ml.

To then increase this value by 10%, you would multiply it by 0.10 to find the amount of increase:

Now, add that amount to the previous value:

Therefore, if you decrease 500 ml by 25% and then increase it by 10%, the final result is 412.5 ml.

Answer:

7⁴ IS 28

I HOPE IT IS HELPFUL

Answer:

2401

Step-by-step explanation:

7×7×7×7

2401

hope it helps

Answer:

2.65secs

Step-by-step explanation:

Give:

The function h(t)=−16t(t−7) models

the object will hit the ground at h= 0

h(t)=−16t(t−7)

0= -16t(t−7)

0= -16t^2 + 112

16t^2 = 112

t^2 = 7

t= √7

t=2.65secs

Hence, the object object hit the ground at 2.65secs

Answer:

So actually #1 is answer. Thats because if we see last one it doesn't have a right angle but the original does. In the next one the angles dont match. The 23 and 67 degree angles are not in the original figure. We can see that the last one has those angles and the sides are switched and just multiplied by 2. Therefore the answer to this question is:

Answer:

$5,831

Step-by-step explanation:

$5,831

Answer:

$20

Step-by-step explanation:

True. a continuous random variable x assumes an (infinitely) uncountable number of distinct values.

A continuous random variable is one that can take on any value within a specified range, and it is defined over an interval of real numbers. Since the real numbers are uncountably infinite, a continuous random variable can assume an uncountable number of distinct values. In contrast, a discrete random variable can only take on a countable number of distinct values, since its possible values are restricted to a finite or countably infinite set of numbers.

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Answer:

surface area of the triangular prism

(8×6)+(15×10)+(15×6)+(8×15)

48+150+90+120

408 m²

An equation that describes the relationship shown in the table is y = 2x + 1.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would find the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (11 - 7)/(5 - 3)

Slope (m) = 4/2

Slope (m) = 2.

At data point (3, 7) and a slope of 2, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 7 = 2(x - 3)

y = 2x - 6 + 7

y = 2x + 1

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Complete Question:

The table snows a linear relationship between x and y.

x     y

3     7

5     11

10    21

Create an equation that describes the relationship shown in the table.

Move the correct answer to each box. Not all answer will be used.

The ACT Math section tests a wide range of mathematical concepts and skills, so there are many formulas and concepts that you should be familiar with.

Here are some of the most important ACT math formulas that you should know:

1. Basic operations: addition, subtraction, multiplication, and division.

2. Exponents and roots: \(a^n\) means a multiplied by itself n times; the nth root of a is the number that, when raised to the nth power, gives a.

3. Order of operations: parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right).

4. Fractions: converting between fractions, decimals, and percents; adding, subtracting, multiplying, and dividing fractions.

5. Algebra: solving equations and inequalities; simplifying algebraic expressions; factoring quadratics; understanding linear and quadratic functions.

6. Geometry: properties of lines, angles, and polygons; Pythagorean theorem; trigonometric functions; volume and surface area of 3D shapes.

7. Probability and statistics: calculating probabilities; mean, median, and mode; standard deviation.

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Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Answer:

Below

Step-by-step explanation:

4 [x-3] + 2    = y    is not discontinuous anywhere

However    4 / [x-3]  + 2   DOES have a discontinuity at x = 3 because this would cause the denominator to be zero <===NOT allowed !!

The median of the data represented by the stem and leaf plot is 23.

To find the median of the data represented by the stem and leaf plot, we first need to understand what median is. Median is the middle value in a dataset when the data is arranged in order. If there is an even number of values, then the median is the average of the two middle values.

In this particular stem and leaf plot, we can see that the data is already arranged in order. To find the median, we count the number of values in the dataset. In this case, we have a total of 17 values. Since 17 is an odd number, we know that the median is the value in the exact middle of the dataset.

To find the value in the middle, we count half of the total number of values. Half of 17 is 8.5, so we need to find the 9th value in the dataset.

Looking at the plot, we can see that the 9th value is 23.

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A/an database schema diagram can be used to show how the tables in a database are defined and related.

This type of diagram provides a visual representation of the structure and organization of the database. It illustrates the tables ,and  their attributes, and the relationships between them.

The database schema diagram helps in the  understanding the logical design of the database, including primary keys, for  foreign keys, and the connections between different tables. It allows developers, database administrators, and stakeholders to visualize the database structure and serves it as a reference for in  designing, modifying, and querying the database effectively.

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Answer: This one is equal to what we were looking for.

4 × 5c = 20 - 8d = 12

Step-by-step explanation:

(20c - 8d = 12) so we are look for an expression that is equal to 20c 8d and 12

2 × 10c = 20 + 4d = 24

4 × 5c = 20 - 8d = 12

4 × 5c = 20 - 2d = 18

c20 - 8d = 12

Answer:

m∠B = 70.0° (nearest tenth)

Step-by-step explanation:

Sine Rule for Angles

\(\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}\)

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

Given:

Substituting the given values into the formula to find m∠C:

\(\implies \sf \dfrac{\sin 40^{\circ}}{13}=\dfrac{\sin C}{19}\)

\(\implies \sf \sin C=\dfrac{19\sin 40^{\circ}}{13}\)

\(\implies \sf C=\sin^{-1}\left(\dfrac{19\sin 40^{\circ}}{13}\right)\)

\(\implies \sf m \angle C=69.96086904^{\circ}\)

Interior angles of a triangle sum to 180°

\(\implies \sf m \angle A+ m \angle B+m \angle C=180^{\circ}\)

\(\implies \sf 40^{\circ} + m \angle B+69.960...^{\circ}=180^{\circ}\)

\(\implies \sf m \angle B=70.03913...^{\circ}\)

Therefore, m∠B = 70.0° (nearest tenth)

Answer:

53.658

Step-by-step explanation:

Answer: it’s 9

Step-by-step explanation:

54 divined by 6 = 9

The formula that can be used to describe the sequence is:\(a(n) = (-1)^(n+1) * 3^(n) * 4.\)

The given sequence is -81, 108, -144, 192.

The formula that can be used to describe the sequence is:  \(a(n) = (-1)^(n+1) * 3^(n) * 4\), where n is the nth term in the sequence.

This formula is a geometric sequence formula that can be used to describe the given sequence.

The formula represents the nth term of the sequence as a function of the position of the term in the sequence.

Here, n represents the position of the term in the sequence

.For the given sequence, the first term is -81, which corresponds to the first position in the sequence (n = 1).

The second term is 108, which corresponds to the second position in the sequence (n = 2).

The third term is -144, which corresponds to the third position in the sequence (n = 3).

The fourth term is 192, which corresponds to the fourth position in the sequence (n = 4).

Therefore, the formula that can be used to describe the sequence is: \(a(n) = (-1)^(n+1) * 3^(n) * 4.\)

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Answer:

h= -22

Step-by-step explanation:

4-4h=92

-4h=92-4

-4h=88

h= -22

To find the length of the model, we need to use the given scale, which states that 1 inch on the model represents 1.5 feet in reality.

The length of the actual object is given as 18 feet. Let's calculate the length of the model:

Length of model = Length of actual object / Scale factor

Length of model = 18 feet / 1.5 feet/inch

Length of model = 12 inches

Therefore, the length of the model is 12 inches. Therefore, the correct option is (a) 12 inches.

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Answer:

The answer is that Mr. Vaughn have $140 left from the money he set aside after paying for the water heater.

Step-by-step explanation:

In order to find the answer, first you have to calculate 30% of the amount Mr. Vaughn set aside of his income each month to determine the money he spent to replace the broken water heater:

$200*30%=$60

Now, you have to subtract the amount that represents the 30% from the amount he set aside:

$200-$60=$140

According to this, the answer is that Mr. Vaughn have $140 left from the money he set aside after paying for the water heater.

The value of x in the circle is 115 degrees

From the question, we have the following parameters that can be used in our computation:

The circle

The theorem of intersecting chords can also be used to find the measure of an arc in a circle.

Specifically, if two chords intersect inside a circle, then the sum of the measures of the arcs intercepted by one chord is equal to half the sum of the measures of the arcs intercepted by the other chord and vice versa

Using the theorem of intersecting chords. we have

x = 1/2 * (80 + 150)

Evaluate the sum

So, we have the following representation

x = 1/2 * 230

This gives

x = 115

Hence, the solutionn is 115 degrees

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The total number of roots of each polynomial function is one.

The roots of a polynomial refer to the values of the variable that make the polynomial equal to zero. The number of roots of a polynomial is dependent on the degree of the polynomial.

The given polynomial functions are already in factored form.

a. f(x) = (x + 1)

The polynomial function f(x) has one root, which is -1.

b. f(x) = (x - 3)

The polynomial function f(x) has one root, which is 3.

c. f(x) = (x - 4)

The polynomial function f(x) has one root, which is 4.

Therefore, the total number of roots of each polynomial function is one.

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9514 1404 393

Answer:

  a = √(b² +c² -2bc·cos(A))

  a = √(c² -b²)

Step-by-step explanation:

For sides a, b, c, and opposite angles A, B, C, the general form of the law of cosines is ...

  a² = b² + c² -2bc·cos(A)

An expression for 'a' can be written by taking the square root.

  a = √(b² +c² -2bc·cos(A))

__

If you recognize that cos(A) = b/c, then a substitution can be made:

  a = √(b² +c² -2(bc)(b/c)) = √(b² +c² -2b²)

  a = √(c² -b²) . . . . . . . same as the Pythagorean theorem

The results of the expressions involving logarithms are listed below:

Case 1: 1 / 2

Case 2:

Subcase a: 0

Subcase b: 11 / 2

Subcase c: - 11 / 2

In this problem we have a case of an expression involving logarithms that must be simplified and three cases of expressions involving logarithms that must be evaluated. Each case can be solved by means of the following logarithm properties:

㏒ₐ (b · c) = ㏒ₐ b + ㏒ₐ c

㏒ₐ (b / c) = ㏒ₐ b - ㏒ₐ c

㏒ₐ cᵇ = b · ㏒ₐ c

Now we proceed to determine the result of each case:

Case 1

㏒ ∛8 / ㏒ 4

(1 / 3) · ㏒ 8 / ㏒ 2²

(1 / 3) · ㏒ 2³ / (2 · ㏒ 2)

㏒ 2 / (2 · ㏒ 2)

1 / 2

Case 2:

Subcase a

㏒ [b / (100 · a · c)]

㏒ b - ㏒ (100 · a · c)

㏒ b - ㏒ 100 - ㏒ a - ㏒ c

3 - 2 - 2 + 1

0

Subcase b

㏒√[(a³ · b) / c²]

(1 / 2) · ㏒ [(a³ · b) / c²]

(1 / 2) · ㏒ (a³ · b) - (1 / 2) · ㏒ c²

(1 / 2) · ㏒ a³ + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · ㏒ a + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · 2 + (1 / 2) · 3 + 1

3 + 3 / 2 + 1

11 / 2

Subcase c

㏒ [(2 · a · √b) / (5 · c)]⁻¹

- ㏒ [(2 · a · √b) / (5 · c)]

- ㏒ (2 · a · √b) + ㏒ (5 · c)

- ㏒ 2 - ㏒ a - ㏒ √b + ㏒ 5 + ㏒ c

- ㏒ (2 · 5) - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- ㏒ 10 - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- 1 - 2 - (1 / 2) · 3 - 1

- 4 - 3 / 2

- 11 / 2

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The ratio of x/y is then 2/3, which is a positive number.

In quadrant I, both the x and y coordinates are positive. Therefore, a ratio of x/y will be positive. To illustrate this, let's say that the point (x, y) is located at (2, 3). This means that x=2 and y=3. The ratio of x/y is then 2/3, which is a positive number.

To calculate the ratio, we divide the x coordinate by the y coordinate: x/y = 2/3. This will give us the ratio of the point (x, y) in the indicated quadrant. If the result is a positive number, then the ratio is positive. If the result is a negative number, then the ratio is negative. In this example, the result is a positive number, so the ratio is positive.

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Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

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It can be inferred that there is a statistically significant result if the confidence interval excludes the value of zero effect.

Confidence Interval;

In statistics, confidence is another word for probability. For instance, if you create a confidence interval with a 95% confidence level, you can be sure that 95 times out of 100 the estimate will fall between the upper and lower values indicated by the confidence interval.

Therefore,

The confidence level is 95% if your significance level is 0.05. The hypothesis test is statistically significant if the P value is lower than your significance (alpha) level. The findings are statistically significant if the confidence interval excludes the null hypothesis value. 0

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We will review each option and see that it corresponds:

-Volume is labeled with cubic units.

True, the units of volume are cubic, since it is distance to the cube.

-Surface area is labeled with cubic units.

False, the units of the area are square, since it is distance squared

-Volume of a prism is the product of the area of the base and height.

True, depending on the base, the volume of the prism is determined, therefore it would be the area of the base by the height.

-Surface area is the sum of the areas of each side.

True, the surface area corresponds to the sum of the lateral areas and the area of the base, that is, the area of each side.

-The volume of a prism is One-third the volume of a pyramid.

False, on the contrary, the volume of a pyramid is one third of the volume of a prism

Answer:

A

C

D

Step-by-step explanation:

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