please answer!!! giving brainliest!!

Answer:

No

Step-by-step explanation:

\(7^{-1}\) is a fraction

using the rule of exponents

• \(a^{-m}\) = \(\frac{1}{a^{m} }\)

then

\(7^{-1}\) = \(\frac{1}{7^{1} }\) = \(\frac{1}{7}\) ← that is a fraction

Answer: 55°

Step-by-step explanation: y and x are supplementary and equal 180°. Triangles also equal 180° so subtract the two angles you know and x is 125°. 180 - 125 = 55°

Answer:

y = 55°

Sum of the interior angles of a triangle = 180°

Therefore, x + 25°+30° = 180°

or, x + 55° = 180°

or, x = 180°-55°

or, x = 125°

Now, x + y = 180° ( straight angles)

125°+y = 180°

y= 55°

Answer:

838860

Step-by-step explanation:

How do you find the sum of the first 10 terms?

To sum up the terms of this arithmetic sequence: a + (a+d) + (a+2d) + (a+3d) +

Example: Add up the first 10 terms of the arithmetic sequence:

a = 1 (the first term)

d = 3 (the "common difference" between terms)

n = 10 (how many terms to add up)

What is the sum of the first 10?

The number series 1, 2, 3, 4 , 9, 10. Therefore, 55 is the sum of positive integers upto 10.

The base of the function given 2(4)ˣ+5 is 4ˣ

The base of an exponential function. If f(x) = ax, then we call a the base of the exponential function. The base must always be positive. Base 1. If f(x) is an exponential function whose base equals 1 – that is if f(x)=1x.

Given is a function, 2(4)ˣ+5, we need to find the base of the function,

With the multiplication of 4ˣ with 2, the rate at which f(x) changes is 2 times larger. Now it is added by 5, by adding 5 the value of f(x) is always 5 greater than the value of f(x).

This reverses the value of y for each corresponding value of x and increases the rate at which f(x) changes 8 times that of the original function.

Hence, the base of the function given 2(4)ˣ+5 is 4ˣ

Learn more about base of a function, click;

https://brainly.com/question/2456547

#SPJ1

Answer:

slope is -2

Step-by-step explanation:

1. go to geogebra.org/classic (this is a graphing calculator)

2. enter your two points by using the second button on the top of the screen

3. connect a line from one point to the other using the 3rd button on the top of the screen

4. click on the line and it shall tell you the equation, including the slope :O))))

the slope is -2 and the equation is y = -2x + 18

Answer:

-4/2 = -2/1 = -2

Step-by-step explanation:

Slope is rise/run or as the formula states, Y2 - Y1 / X2 - X1

If you substitute the known values into this formula, you will get

4 - 8 / 7 - 5

This simplifies to

-4 / 2

You can then simplify further if needed:

-4/2 = -2/1 = -2

C. No, because a difference in proportions of 0.4 or more occurred 7 out of 200 times, meaning the difference is not statistically significant and the new additive is not more effective.

====================================================

Explanation:

If the new additive was more effective than the old one, then the difference in proportions (new - old) should be fairly large.

Count the dots over the x axis labels of "0.4" through "0.6"

That makes 5+1+1 = 7 dots total.

There are 7 instances where the difference of proportions is 0.4 or larger.

This is out of 200 observations, so 7/200 = 0.035 = 3.5% of the differences have 0.4 or larger.

This is not very significant. The general rule of thumb is to use 5% as the threshold. Some stats textbooks will use 10%. Other times your teacher will specify the significance level. The Greek letter alpha is often used.

Because 3.5% < 5%, we consider the new additive to not be that effective compared to the original additive.

Answer:

Step-by-step explanation:

You want to know which set of equations could be combined in such a way as to result in the equation 3x = 18.

To obtain a term of 3x, the second equation must be subtracted from the first. That will result in 3x +2y = 18, not the equation of interest.

A term of 3x can be obtained by adding twice the first equation to the second:

  2(x +y) +(x -2y) = 2(4) +(10)

  3x = 18 . . . . . as required

A term of 3x can be obtained by subtracting the second equation from the first. That will result in 3x +2y = 18, not the equation of interest.

These equations are dependent. The second is the opposite of the first. They have an infinite number of solutions, not the single solution of the system of equations of interest.

Answer:

na na na na na I don't know

Answer:

4 and 4/11

Step-by-step explanation:

Answer:

4 4/11

Step-by-step explanation:

You start with 6/1 divided bye 11/8. You keep the 6/1, switch the division to multiplication, and flip the 11/8 to 8/11. You multiply the fractions and get 48/11. Simplifying gives 4 4/11.

Answer:

Parabola

Step-by-step explanation:

A conic section is a curve obtained by the intersection of a plane with the surface of a (double-napped) cone, When the plane is parallel to the edge of one cone.

Thus, The intersection is a parabola.

Answer: degenerate hyperbola

Step-by-step explanation:

degenerate hyperbola because its the thickest of the plane so it can be formed.

The annual interest rate is 7.5%.

What is Simple interest?

Simple interest is a type of interest that is calculated on the principal amount (or the initial amount) of a loan or investment, without taking into account any accumulated interest from previous periods.

The formula for simple interest is:

I = P × r × t

where I is the interest earned, P is the principal (initial amount), r is the annual interest rate as a decimal, and t is the time in years.

In this case, we know I = $562.50, P = $1500, and t = 5 years.

we ca substitute values into the formula,

562.50 = 1500× r ×5

Simplifying, we get:

r = 562.50 / (1500 ×5)

r = 0.075

r = 7.5%

Therefore, the annual interest rate is 7.5%.

To learn more about Simple interest , visit the link:

https://brainly.com/question/25793394

#SPJ1

Answer:

4/3 square feet.

Step-by-step explanation:

To find the area of the replica, you need to use a formula that relates the area of the original figure and the area of the dilated figure by the scale factor1. The formula is:

Area of dilated figure = Area of original figure x (Scale factor)^2

In this case, the area of the original artwork is 12 square feet and the scale factor is 1/3. So, we plug these values into the formula and get:

Area of replica = 12 x (1/3)^2

Area of replica = 12 x 1/9

Area of replica = 4/3

So, the area of the replica is 4/3 square feet.

Hope this helps :)

In order to calculate the carton's height, let's first convert from liters to cm³.

1 liter is equal to 1000 cm³.

Now, let's use the volume formula of a rectangular prism to calculate the height:

So the height is 20 cm.

The measurement closest to the area of the circle in meters is 379.94 sq. meters.

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The square unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area.

The word "area" refers to a free space. A shape's length and width are used to compute its area. The majority of forms and things have corners and edges. When computing the area of a certain form, both the length and width of these edges are taken into account.

Given that,

diameter = 22m

radius = 22/2 = 11m

The area of the circle is:

A = πr²

Substituting the value of π = 3.14 and r = 11 we have:

A = (3.14)(11)²

A = 379.94

Hence, the measurement closest to the area of the circle in meters is 379.94 sq. meters.

Learn more about area here:

https://brainly.com/question/27444262

#SPJ1

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

For more such questions on explicit

https://brainly.com/question/30394385

#SPJ8

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

brainliest pls

Answer:

225.

Step-by-step explanation:

12,000÷40=300

75*300÷100=225

The difference between the depths in February and July is 31 feet.

The method of measuring depth depends on what we are trying to measure the depth of. Here are some general methods for measuring different types of depth:

Depth of water: The depth of water can be measured using a sounding device such as a sonar or a simple depth gauge. A sonar uses sound waves to determine the distance from the water's surface to the bottom. A depth gauge is a simple device that measures the distance from the surface of the water to the bottom using a weight and a line.

Depth of a hole: The depth of a hole can be measured using a tape measure or a ruler. Simply insert the measuring device into the hole and measure the distance from the top of the hole to the bottom.

Depth of a trench: The depth of a trench can be measured using a measuring tape or a surveyor's level. Place the measuring device at the edge of the trench and measure the distance from the top of the trench to the bottom.

Depth of a pool: The depth of a pool can be measured using a pool depth marker or by using a measuring tape. A depth marker is usually located on the side of the pool and indicates the depth at various points. Alternatively, you can use a measuring tape to measure the distance from the surface of the water to the bottom of the pool.

Depth of a well: The depth of a well can be measured using a well sounder or a tape measure. A well sounder is a device that sends a signal down the well and measures the time it takes for the signal to bounce back. The time it takes is then used to calculate the depth of the well. Alternatively, a tape measure can be used to measure the distance from the surface of the water to the bottom.

Given, In February, it measured 6 ft deep, or |−6| and in July, it was 25 ft deep, or |−25|.

The difference between the depths in February and July is:

|−6| − |−25| = 6 − (−25) = 6 + 25 = 31

Therefore, the correct choice is B) 31 feet.

Learn more about depth here:

brainly.com/question/20070144

#SPJ1

Answer:

14/21

Step-by-step explanation:

14/21 is the correct answer because

We need to find the LCM or least common multiple between the denominator of 2/3 (which is 3) and 21.

The least common multiple between 3 and 21 is 21. This is because 21 is a multiple of 3.

21/3= 7

Both the numerator and denominator of 2/3 needs to be multiplied by 7 which gives a value of 14/21.

2×7= 14

3×7= 21

The fraction of the area of the tray occupied by the blondies is 1/9.

To find the fraction of the area of the tray occupied by blondies, we need to determine the area occupied by the blondies and compare it to the total area of the tray.

Let's calculate the area of each individual blondie:

The blondies are squares with 3-inch sides, so the area of each blondie is 3 inches × 3 inches = 9 square inches.

Now, let's calculate the area occupied by the blondies in each row:

Since there are 4 rows of blondies and each row contains 4 blondies, the total number of blondies is 4 rows × 4 blondies per row = 16 blondies.

So, the total area occupied by the blondies is 16 blondies × 9 square inches per blondie = 144 square inches.

Next, let's determine the area occupied by the brownies:

The brownies are squares with 6-inch sides, so the area of each brownie is 6 inches × 6 inches = 36 square inches.

Since there are also 4 rows of brownies and each row contains 4 brownies, the total number of brownies is 4 rows × 4 brownies per row = 16 brownies.

Therefore, the total area occupied by the brownies is 16 brownies × 36 square inches per brownie = 576 square inches.

Now, let's calculate the total area of the tray:

Given that the tray is completely full and has an area of 648 square inches, we can subtract the area occupied by the brownies from the total area to find the remaining area occupied by the blondies:

Total area of the tray - Area occupied by the brownies = Area occupied by the blondies

648 square inches - 576 square inches = 72 square inches.

So, the fraction of the area of the tray occupied by the blondies is:

Area occupied by the blondies / Total area of the tray = 72 square inches / 648 square inches.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 72 in this case:

72 square inches / 648 square inches = 1/9.

Therefore, the blondies' percentage of the tray's surface area is 1/9.

for such more question on fraction

https://brainly.com/question/1622425

#SPJ8

The probability that at least 27 percent of the children in the sample live in households that are classified at the particular income level is approximately 0.04.

What is the binomial distribution?

In a binomial distribution, the probability of getting success must remain the same for the trials we are investigating. For example, when tossing a coin, the probability of flipping a coin is ½ or 0.5 for every trial we conduct, since there are only two possible outcomes.

To approximate the probability that at least 27 percent of the children in the sample live in households that are classified at the particular income level, we can use a normal approximation to the binomial distribution.

The sample size is n = 300 and the proportion in the population is p = 0.22. The standard deviation of the sample proportion is:

\(\sigma_{p}\) = √(p(1-p)/n) = √(0.22(1-0.22)/300) = 0.0115

We can use the standard normal distribution to approximate the probability that the sample proportion is at least 0.27:

\(P(p_{hat} > = 0.27) \approx P( (p_{hat} - p) / \sigma_{p} > = (0.27 - 0.22) / 0.0115 )\)

P(z >= 1.74)

where z is the standard normal variable.

We can use a standard normal table or calculator to find the probability for z >= 1.74 is about 0.04.

Hence, the probability that at least 27 percent of the children in the sample live in households that are classified at the particular income level is approximately 0.04.

To learn more about the binomial distribution visit,

https://brainly.com/question/29163389

#SPJ4

When the matrices A and B commute, or when they fulfill AB=BA, this is a significant exception.

A matrix is a rectangular array or table of numbers, symbols, or formulae used to represent mathematical objects or qualities of such things. It is often arranged in rows and columns. For instance, a matrix contains two rows and three columns. a group of integers organized in a rectangular array in rows and columns. Matrix elements or entries refer to numbers. In several disciplines of engineering, physics, economics, statistics, and mathematics, matrices have a wide range of applications.

The eigenvalues and eigenvectors of the sum of two matrices are typically not the same as the sums of the eigenvalues and eigenvectors of the individual matrices. In actuality, there is no way to separate the eigenvalues of A and B from one another.

When a vector v is an eigenvector of both A and B, it is also an eigenvector of A+B, with an eigenvalue equal to the sum of its eigenvalues for A and B, respectively. There is, however, no reason to anticipate that two matrices will share an eigenvector in general. There is no method to create an eigenvector of A+B from two random eigenvectors of A and B alone.

When the matrices A and B commute, or when they fulfill AB=BA, this is a significant exception. In this situation, their invariant spaces coincide, and if both of them are diagonalizable, they are concurrently diagonalizable, which means that their eigenvectors do as well. As was already noted, in this specific instance, the eigenvectors of A+B are likewise the same.

To know more about matrix visit:
https://brainly.com/question/29132693

#SPJ4

Answer:

width = 20 cm

Step-by-step explanation:

Area of a rectangle formula:               Area of a triangle formula :

  A = LW                                                A = 1/2(b)(h)

  A = 22(w)                                            A = 1/2(10)(11)                          

  A = 22w  sq. cm                                 A = 5(11); A =55 sq.cm

The area of the rectangle is 8 times that of the area f the triangle

                                 22w =  8 (55)

                                   22w = 440

                                      w  = 20

The area of the figure ABDECA, and the coordinates of the points on the quadrilateral are;

1. The area is about 15.16 units²

2. The coordinates of the points are;

(i) B(5, 8)

(ii) C(8.58, 4)

(ii) D(8,58, 1.21)

A quadrilateral is a four sided polygon.

1. The coordinate of the point C can be found as follows;

Let (x, y) represent the coordinates of the C, we get;

(x + 8)/2 = 5

x = 2 × 5 - 8 = 2

(y + 8)/2 = 6

y = 2 × 6 - 8 = 4

The coordinates ot the point C (2, 4)

The length of the segment BC = √((8 - 2)² + (8 - 4)²) = 2·√(13)

Length of the side AB = √((8 - 6)² + (8 - 11)²) = √(4 + 9) = √(13)

The area of the triangle ABC = (1/2) × 2·√(13) × √(13) = 13

CE is perpendicular to DE, let (a, b), represent the coordinates of the point E, therefore;

(4 - y)/(2 - x) = -(5 - x)/(6 - y)

y - 4 = (-4/7)(x - 2)

y - 6 = (7/4)(x - 5)

(-4/7)(x - 2) + 4 = (7/4)(x - 5) + 6

x = (17/5) = 3.4

y = (7/4)((17/5) - 5) + 6 = 3.2

The coordinates of the point E is (3.4, 3.2)

The length of the side DE = √((5 - 3.4)² + (6 - 3.2)²) = √(10.4)

Length of the side CE = √((3.2 - 2)² + (3.4 - 4)²) = √(1.8)

Area of the triangle ΔCDE = (1/2) × √(10.4) × √(1.8)

Area of the figure is therefore;

2. The equation of the line AB is; y - 6 = (1/3)·(x - (-1))

y - 6 = (1/3)·(x + 1)

y = (1/3)·(x + 1) + 6

The slope of the segment AE = (4 - 6)/(3 - (-1)) = -1/2

Slope of the segment BE = -1/(-1/2) = 2

Equation of BE is; y - 4 = 2·(x - 3)

y = 2·(x - 3) + 4 = (1/3)·(x + 1) + 6

Therefore, x = 5

y = (1/3)·(5 + 1) + 6 = 8

(ii) Area of the triangle EBC = 24 unit²

EB = (1/2) × √((5 - 3)² + (8 - 4)²) = √20

Therefore;

BC = 24/(√20) = 12/√5 = 12·√5/5 = √(28.8)

(x - 5)² + (y - 8)² = 28.8

y = 4, therefore;

(x - 5)² + (4 - 8)² = 28.8

(x - 5)² = 28.8 - (4 - 8)² = 12.8

x = √(12.8) + 5

(iii) The equation of the segment AD is; y - 4 = (-1/2)(x - 3)

x = √(12.8) + 5

Therefore;

y - 4 = (-1/2)((√(12.8) + 5) - 3)

y = (-1/2)((√(12.8) + 5) - 3) + 4 ≈ 1.21

Learn more on parallel and perpendicular lines here: https://brainly.com/question/29526529

#SPJ1

Answer:

The probability that he drove the small car is 0.318.

Step-by-step explanation:

We are given that a friend who works in a big city owns two cars, one small and one large. One-quarter of the time he drives the small car to work, and three-quarters of the time he takes the large car.

If he takes the small car, he usually has little trouble parking and so is at work on time with probability 0.7. If he takes the large car, he is on time to work with probability 0.5.

Let the Probability that he drives the small car = P(S) = \(\frac{1}{4}\) = 0.25

Probability that he drives the large car = P(L) = \(\frac{3}{4}\) = 0.75

Also, let WT = event that he is at work on time

So, Probability that he is at work on time given that he takes the small car = P(WT / S) = 0.7

Probability that he is at work on time given that he takes the large car = P(WT / L) = 0.5

Now, given that he was at work on time on a particular morning, the probability that he drove the small car is given by = P(S / WT)

We will use the concept of Bayes' Theorem for calculating above probability;

So,    P(S / WT)  =  \(\frac{P(S) \times P(WT/S)}{P(S) \times P(WT/S)+P(L) \times P(WT/L)}\)

                          =  \(\frac{0.25 \times 0.7}{0.25 \times 0.7+0.75 \times 0.5}\)

                          =  \(\frac{0.175}{0.55}\)

                          =  0.318

Hence, the required probability is 0.318.

Answer:

  [A]  Multiply the bottom equation by -3/2, then add the equations.

  [C]  Multiply the top equation by -3, then add the equations.

Step-by-step explanation:

You want to know a suitable "elimination" strategy for the two equations ...

The result of an elimination strategy is that one of the variables in the combined equations has a coefficient of 0. If we add the equations as a final step, the coefficients must be opposites for that to happen.

The ratios of variable coefficients in the top equation to those in the bottom equation are ...

A suitable elimination strategy will multiply one of the equations by a value that makes this ratio -1. Let's look at the choices.

Multiplying the bottom equation by -3/2 makes the ratio of x-coefficients be ...

  \(\dfrac{1}{3}\times\dfrac{1}{\left(-\dfrac{3}{2}}\right)}=-\dfrac{2}{9}\ne -1\)

Multiplying the bottom equation by -3/2 makes the ratio of y-coefficients be ...

  \(\dfrac{3}{2}\times\dfrac{1}{\left(-\dfrac{3}{2}\right)}=-\dfrac{6}{6}=-1\)

This is a suitable strategy for eliminating the y-variable.

This strategy is equivalent to multiplying the bottom equation by -3, then adding. This will make the x-coefficient ratio be ...

  \(\dfrac{1}{3}\times\dfrac{1}{\left(-3}\right)}=-\dfrac{1}{9}\ne -1\)

Multiplying the bottom equation by -3 makes the ratio of y-coefficients be ...

  \(\dfrac{3}{2}\times\dfrac{1}{-3}=-\dfrac{3}{6}\ne-1\)

Not a suitable strategy for elimination.

Multiplying the top equation by -3 makes the ratio of x-coefficients be ...

  \(\dfrac{1}{3}\times\dfrac{-3}{1}}=-\dfrac{3}{3}= -1\)

This is a suitable strategy for eliminating the x-variable.

Choices A and C are suitable strategies for eliminating a variable.

The correct pairs of equivalent expressions are;

b. (3⁴)⁴ and 3⁸ ⋅ 3⁸

d. 4³ ⋅ 5³and 20³

e. (4³)³ and 4³ ⋅ 4³ ⋅ 4³

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression are,

a. (4³)³ and 4³ ⋅ 4³

b. (3⁴)⁴ and 3⁸ ⋅ 3⁸

c. 6⁴ ⋅ 3⁴ and 18⁸

d. 4³ ⋅ 5³and 20³

e. (4³)³ and 4³ ⋅ 4³ ⋅ 4³

Now,

Solve all the expressions and find the pairs of equivalent expressions as;

a. (4³)³ and 4³ ⋅ 4³

Since,  (4³)³ = 4³ ⋅ 4³ ⋅ 4³  

So, It is not a equivalent expression.

b. (3⁴)⁴ and 3⁸ ⋅ 3⁸

Since,  (3⁴)⁴ = 3⁴ ⋅ 3⁴ 3⁴ ⋅ 3⁴

                  = 3⁴⁺⁴ . 3⁴⁺⁴

                  = 3⁸ ⋅ 3⁸

Thus, This is an pair of equivalent expressions.

c. 6⁴ ⋅ 3⁴ and 18⁸

Since,  6⁴ ⋅ 3⁴ = (2 x 3)⁴ ⋅ 3⁴

                     = (2 x 3 x 3)⁴

                     = 18⁴

Thus, It is not a equivalent expression.

d. 4³ ⋅ 5³and 20³

Since,  4³ ⋅ 5³ = (4 x 5)³

                      = 20³

Thus, This is an pair of equivalent expressions.

e. (4³)³ and 4³ ⋅ 4³ ⋅ 4³

Since,  (4³)³ = 4³ ⋅ 4³ ⋅ 4³

Thus, This is an pair of equivalent expressions.

Therefore, The correct pairs of equivalent expressions are;

b. (3⁴)⁴ and 3⁸ ⋅ 3⁸

d. 4³ ⋅ 5³and 20³

e. (4³)³ and 4³ ⋅ 4³ ⋅ 4³

Learn more about the expression visit:

https://brainly.com/question/25968875

#SPJ1