Which expression is equivalent to the given expression? Assume the denominator does not equal zero. ​

Answer:

This looks like an addition (summation is the technical term) series. Here we need to figure out the difference between each number in the series. The difference between 6.75 and 9.25 is 2.5 (You can subtract the larger number from the smaller number to find out). So, 6.75-2.5=4.25.

So the correct answer in the blank is 4.25, and the rule is +2.5.

Step-by-step explanation:

Answer:

Southern states felt betrayed by President Zachary Taylor because he pushed for the 1850 Compromise on slavery, going against what his fellow southerners believed in.

Answer:

here u go.  because he pushed for the 1850 compromise on slavery

Step-by-step explanation:

Hello!

y = 88° (opposite are equal)

z = 180° - 128° = 52° (straight angle = 180°)

x = 180° - 140° = 40° (straight angle = 180°)

Answer:

x=40°

y=88°

z=52°

Step-by-step explanation:

Solution Given:

x+140°=180°

Since the sum of the angle of a linear pair or straight line is 180°.

solving for x.

x=180°-140°

x=40°

\(\hrulefill\)

y°=88°

Since the vertically opposite angle is equal.

therefore, y=88°

\(\hrulefill\)

z+128°=180°

Since the sum of the angle of a linear pair or straight line is 180°.

solving for z.

z=180°-128°

z=52°

The domain of the exponential function is all real numbers.

The domain of a function refers to the set of all possible input values (also known as the independent variable) for which the function is defined.

For the exponential function y = 2ˣ + 6, the domain includes all real numbers.

This is because there are no restrictions on the input values that can be plugged into the function.

We can take any real number x, substitute it into the expression 2ˣ, and then add 6 to get a corresponding output value y.

Hence,  the domain of the exponential function is all real numbers.

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Answer:

16 cups of flour

Step-by-step explanation:

step 1 - cups of flour-4,  cups of sugar -4

therefore, multiply 4 and 4

= 4x4 =16

so she used 16 cups of flours

HAVE A GREAT DAY!

Answer:

from the t-distribution table, at df = 7 and t = 2.23

Lies p-values [ 0.05 and 0.025 ]

Hence;

0.025 < p-value < 0.05

Step-by-step explanation:

Given that;

\(x^{bar}\) = 6.5 gpm

μ = 5 gpm

n = eight runs = 8

standard deviation σ = 1.9 gpm

Test statistics;

t = (\(x^{bar}\) - μ) / \(\frac{s}{\sqrt{n} }\)

we substitute

t = (6.5 - 5) / \(\frac{1.9}{\sqrt{8} }\)

t = 1.5 / 0.67175

t = 2.23

the degree of freedom df = n-1 = 8 - 1

df = 7

Now, from the t-distribution table, at df = 7 and t = 2.23

Lies p-values [ 0.05 and 0.025 ]

Hence;

0.025 < p-value < 0.05

Answer:

The probability that they will teach different courses is \(\frac{2}{3}\).

Step-by-step explanation:

Sample space is a set of all possible outcomes of an experiment.

In this case we will write the sample space in the form (x, y).

Here x represents the course taught by the first part-time instructor and y represents the course taught by the second part-time instructor.

Denote every course by their first letter.

The sample space is as follows:

S = {(P, P), (P, I), (P, S), (I, P), (I, I), (I, S), (S, P), (S, I) and (S, S)}

The outcomes where the the instructors will teach different courses are:

s = {(P, I), (P, S), (I, P),(I, S), (S, P) and (S, I)}

The probability of an events E is the ratio of the number of favorable outcomes to the total number of outcomes.

\(P(E)=\frac{n(E)}{N}\)

Compute the probability that they will teach different courses as follows:

\(P(\text{Different courses})=\frac{n(s)}{n(S)}=\frac{6}{9}=\frac{2}{3}\)

Thus, the probability that they will teach different courses is \(\frac{2}{3}\).

The number of denominations for the three single cards is 12 3 because there are 220 possible combinations of three cards from a deck, each combination representing a unique poker hand.

The number of denominations for the three single cards is 12 3 because it is impossible to have a poker hand with only two cards. The two-card hands can contain only one pair or two different cards, and neither of these hands are possible with only two cards. Therefore, the number of possible combinations of three cards is 12 3.

We can calculate this using the combination formula: nCr = n! / r!(n-r)!

For a hand of three cards, n = 12 (there are 12 denominations of cards) and r = 3. Therefore, 12 3 = 12! / 3!(12-3)! = 220. This means there are 220 possible combinations of three cards from a deck, each combination representing a unique poker hand.

The number of denominations for the three single cards is 12 3 because there are 220 possible combinations of three cards from a deck, each combination representing a unique poker hand.

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The 25° angle the light ray makes with the normal, B which is the angle of incidence, according to the laws of reflection, indicates that the angle of reflection, which is the angle the reflected ray makes with the normal, C, is 25°

The laws of reflection states that (1) The angle of incidence and the angle of reflection have the same value (2) The incident ray, the reflected ray and the normal are coplanar (3) The refracted ray is on the opposite side of the normal with regards to the incident ray.

The law of reflection states that the angle the in of reflection and the angle of incidence are equal; \(\theta_i = \theta_r\)

The angle the incident ray makes with the normal of the plain mirror and the angle the reflected ray makes with the normal are the same.

The angle the incident ray in the diagram of the question makes with the normal line segment, B = 25°

The angle the reflected ray makes with the normal line segment = C

Therefore, according the to the laws of reflection, we get;

Angle B = Angle C

Angle B = 25°

Therefore;

Angle C = Angle B = 25° (symmetric property)

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The cost of a apple is $0.75 and that of orange is $1.5.

Given is that 4 apples and 6 oranges cost $12 while 6 apples and 3 oranges cost $9.

We can write the system of equations as -

4x + 6y = 12

6x + 3y  = 9

Reducing the equations, we get -

2x + 3y = 6

2x + y = 3

We can write -

2x + y = 3

2x = 3 - y

Using the value of [2x], we get -

3 - y + 3y = 6

3 + 2y = 6

2y = 3

y = 1.5

and

2x = 3 - 1.5

x = 1.5/2

x = 0.75

Therefore, the cost of a apple is $0.75 and that of orange is $1.5.

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Answer:

-17/12

Step-by-step explanation:

║5/6 - 7/12║- ║5/3║

= ║10/12 - 7/12║ - ║5/3║

= ║3/12║- ║5/3║

= 3/12 - 5/3

= 3/12 - 20/12

= -17/12

Triangle ABC and ADE are similar triangles

Similar triangles have the same corresponding angle measures and proportional side lengths.

This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.

It has been shown that angles in ABC and ADE are equal.

To show that the ratio of corresponding sides are equal

6/12 = 8/16 = 10/20

The ratios all give a value of 1/2

Therefore we can say that the triangles ABC and ADE are similar.

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Answer:

$40.00 is the answer

Step-by-step explanation:

also can you mark me as a brainlist if you get a chance

Answer: $40.00

Step-by-step explanation:

12 is 30% of 40

Therefore, it can be seen that Rerwe has a total of $120.

Given the following values, we can solve the problem:

We know n = 5, so we can calculate n20 as:

n20 = 5 * 20 = 100

Now, we can add this to the initial $20:

Total money = $20 + $100 = $120

Therefore, it can be seen that Rerwe has a total of $120.

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"If Rerwe has $20 and is given an additional n times 20 dollars, where n equals 5, how much money does Rerwe have in total?

The requried, probability that both the first digit in the last digit of the three-digit number is even numbers is 20%.

To count the number of three-digit numbers with distinct digits that can be formed using the digits 1, 2, 3, 5, 8, and 9, we can use the permutation formula:

P(n, r) = n! / (n-r)!

In this case, we have n = 6 (since we have 6 digits to choose from) and r = 3 (since we want to form three-digit numbers). Using the formula, we get:

P(6, 3) = 120

We can choose the first digit in two ways (2 or 8), and we can choose the last digit in three ways (2, 8, or 6). For the middle digit, we have four digits left to choose from (1, 3, 5, or 9), since we cannot repeat digits. Therefore, the number of three-digit numbers with distinct digits that have an even first and last digit is:

2 x 4 x 3 = 24

The total number of three-digit numbers with distinct digits is 120, so the probability that a randomly chosen three-digit number with distinct digits has an even first and last digit is:

24/120 = 0.2 or 20%

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Given:

For Richard :

We can proceed to calculate the simple interest on the $100 saved yearly by Richard :

The total amount of money Richard has at the end of 7 years:

For Anna, she saved $700 this year only

We can conclude that :

Richard has more money in his college account, because he invested regularly over a

long period of time in an account that earns interest.

The right option is A

The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4  × 10³

From the question, we are to simplify the given expression

The given expression is

6 × 10⁻³ / 8 × 10⁻⁶

Simplifying the expression

6 × 10⁻³ / 8 × 10⁻⁶

This can be written as

6/8 × 10⁻³/10⁻⁶

Reduce the fraction

3/4  × 10⁻³/10⁻⁶

Apply the division law of indices

3/4  × 10⁻³ ⁻ ⁽⁻⁶⁾

3/4  × 10⁻³ ⁺ ⁶

3/4  × 10³

Hence, the value is 3/4  × 10³

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Answer:

1 11/15

Step-by-step explanation:

The transformation in the picture is option c Reflection.

Given,

Reflection transformation:

A reflection is a transformation that works similarly to a mirror by switching all pairs of points that are directly across from one another along the line of reflection. A mathematical formula or the two sites it passes through can be used to define the line of reflection.

According to the law of reflection, r = I the angle of incidence and reflection are equal. θ r = θ I . At the point where the ray strikes the surface, the angles are measured in relation to the perpendicular to the surface.

Here,

In the picture the transformation is reflection.

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For the function f( x) = 3x- 2 and g( x) = x2, the workout fg( x) is 3x2- 2.

What is function?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are inclusively appertained to as the function's sphere and codomain, independently. originally, functions represented the idealized relationship between two changing amounts.

A formula, rule, or legislation that specifies how one variable( the independent variable) and another variable are related( the dependent variable).

Four orders of functions live functions with return values and arguments.

This function accepts arguments and gives back a result.

functions that take arguments but have no return values.

functions with return values and no arguments.

functions that have no arguments or return values.

we are given two function f( x) and g( x);

f( x) = 3x- 2 and

g( x) = x2

So, for fg( x), we've to put value of g( x) into f( x);

Hence, the equation will be;

fg( x) = 3x2- 2.

thus, for the function f( x) = 3x- 2 and g( x) = x2, the fg( x) is 3x2- 2.

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Apply the fraction rule:

\(\text{a}\times\dfrac{\text{b}}{\text{c}} =\dfrac{\text{a}\times\text{b}}{\text{c}}\)

Answer:

\(\longrightarrow\boxed{\bold{\frac{\text{fx}}{\text{g}}}}\)

No, the relationship on the table is not proportional

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

x   y

____ ____

6 -2

7 -1

8 0

9  1

On the table of values, we can see that:

Using the above as a guide, we have the following:

The relationship is not a proportional relationship

This is so because it does not have a constant rate (addition of 1 to x and y does not represent proportional relationship)

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Answer:

Variable x = cost of cookies

Variable y = cost of brownies

System of equations:

2x + 3y = 9.50

10x + 6y = 20.50

Step-by-step explanation:

Variable x: $ cookies

Variable y: $ brownies

2x + 3y = 9.50

10x + 6y = 20.50

I'm not entirely sure how to explain this one, but my best advice is to just take it step by step when doing these problems. Multiple questions can feel overwhelming so just focus on one question at a time.

The coordinates of a point on the circle as described with radius 15 corresponding to an angle of 20 is; (14.10, 5.13).

Recall; the coordinates of a circle of radius r and a given angle theta is as follows;

x-coordinate = r cos (theta).

y-coordinate = r sin (theta).

Hence, for the described point;

x-coordinate = 15 cos (20°) = 14.10

y-coordinate = 15 sin (20°) = 5.13.

Ultimately, the coordinates as required to be determined are; (14.10, 5.13).

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The remainder theorem indicates that remainder when the polynomial x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by (x - 1) is 8

The remainder theorem specifies the relationship between the division of a polynomial by a linear factor to the value of the polynomial at a specified point

The remainder when the polynomial expression; x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by x - 1, can be found using the remainder theorem by plugging in x = 1 in the function as follows;

f(1) = 1⁵ - 3 × 1⁴ - 2 × 1³ - 5 × 1² + 5 × 1 + 12 = 8

The remainder when x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by (x - 1) therefore is 8

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Answer:

january 5 :12

january 10:22

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can see a pattern:

So

Answer:

To find the total distance, we need to add up the distance the student ran in the first 5 days and the distance the student ran in the next 5 days.

Distance for the first 5 days = 3 1/2 miles/day × 5 days = 17.5 miles

Distance for the next 5 days = 4 1/4 miles/day × 5 days = 21.25 miles

Total distance = Distance for the first 5 days + Distance for the next 5 days

Total distance = 17.5 miles + 21.25 miles

Total distance = 38.75 miles

Therefore, the student ran a total of 38.75 miles during these 10 days.

Answer:

(A) x(3+5)  is an expression. The rest are equations.

Step-by-step explanation: