Consider the following Expression.
3(x+2)=-5-2(x-3)
What is the value of x?

If the sum of an integer and 7 more than the next consecutive integer is 66 then the integers are 29 and 30.

Given that the sum of an integer and 7 more than the next consecutive integer is 66.

Integer is a number that is written without a fraction component. It can be positive as well as negative.

let the first integer be x.

Consecutive integer will be x+1.

Sum of integer and 7 more than the next consecutive integer is 66.

Sum according to the given information=x+x+1+7

=2x+8

2x+8=66

2x=66-8

2x=58

x=58/2

x=29

Next integer=29+1-30.

Hence if the sum of an integer and 7 more than the next consecutive integer is 66 then the integers are 29 and 30.

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Step-by-step explanation:

\( \sf \: T_n = a+(n-1)d\)

\( \sf \: T_n = \frac{1}{4} +(n-1) \frac{1}{4} \)

\(\sf \: T_n = \frac{1}{4} + \frac{n}{4} - \frac{1}{4} \)

\(\sf \: T_n = \frac{n}{4}\)

an equation for the nth term of the arithmetic sequence. is n/4

Step-by-step explanation:

TN=n/4 is the nth term of arithmetic sequence.

Answer:

744-ft

Step-by-step explanation:

6-ft vertical post - 12-in shadow = 1-ft shadow

?-ft cell phone tower - 124-ft shadow

? = 124 * 6 = 744

Answer:

Step-by-step explanation:

This problem is based on compound interest, and the expression for the compound interest is given as

Given Data

A = final amount  =  ?

P = initial principal balance  = $2,500

r = interest rate = 2.1%= 0.021

t = number of time periods elapsed= 14 years

Substituting our data into the compound interest formula we can solve for the final amount

\(A= 2500(1+0.021)^1^4\\A= 2500(1.021)^1^4\\A= 2500*1.3377\\A= 3344.25\\\)

Hence to the nearest hundred we have the account balance has $3,000

Answer:3400

Step-by-step explanation:

Answer:

She forgot about the negative sign in front of the 3.7, therefore, she added 3.7 to -3.3 which is equals to 0.4

Answer:

9 square units

Step-by-step explanation:

Area of a square = base * height

= 3*3

= 9

Answer:

Answer is D

Step-by-step explanation:

Day 1 = 60

Day 2 = 120

Day 3 = 180

Day 4 = 240

Day 5 = 300

Day 6 = 360

Day 7 = 420

Day 8 = 480

The graph D will show the best relationship between  the number of days and the number of frozen treats sold.

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

It is given that he sells 60 frozen treats per day so everyday the frozen treats are multiplied by 60.

We can see the linear relationship between frozen treats and number of days.

Day 1 -  60

Day 2 - 120

Day 3-  180

Day 4-   240

Day 5-  300

Day 6-  360

Day 7-  420

Day 8-  480

Hence the graph D will show the best relationship between  the number of days and the number of frozen treats sold.

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Answer:

Angle CEB

Step-by-step explanation:

They are vertical angles

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When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .

According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.

The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.

Therefore,

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

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Answer:

-3.7

Step-by-step explanation:

i think this is right if you meant to say find instead of fine

To use the critical value table, you must first decide on the level of significance for your hypothesis test. This is usually represented by alpha (α) and is the probability of rejecting the null hypothesis when it is actually true. Common levels of significance include 0.05 and 0.01.

A critical value table is a tool used in hypothesis testing to help determine whether or not to reject the null hypothesis. This table provides the critical values for a given level of significance and sample size for various statistical distributions such as the normal, t, chi-squared, and F distributions.

Once you have determined the level of significance, you can use the critical value table to find the critical value for your chosen distribution.

For example, if you are using a t-distribution with a sample size of 30 and a significance level of 0.05, you would look in the t-distribution section of the critical value table for the row with a sample size of 30 and find the critical value in the column corresponding to a significance level of 0.05.

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_____________________

Solution:

Exact Form:

\(\frac{4}{7}-(-\frac{3}{8}) = \frac{53}{56}\)

______________________

(^Note^)

To subtract fractions, find the LCD (Least Common Denominator), then combine.

Hope this helps! If so, please lmk! Thanks and good luck!

Answer: 53/56

Step-by-step explanation:

sorry if im wrong but since there is 2 negative signs it is going to become positive. so..

4/7+3/8

then make the denominators the same (56)

then multiply the numerators by the number you multiplied for the denominator for the question.

answer: 32/56+21/56 = 53/56

Answer:

here's your answer

hope this helped you

please mark as the brainliest (ㆁωㆁ)

If you can earn 8 percent on your money, the prize worth to you is: $76,812.50. To calculate the present value of the prize, we need to determine the current worth of receiving $1000 per month for 9 years, given an 8 percent annual interest rate.

This situation can be evaluated using the concept of the present value of an annuity. The present value of an annuity formula is used to find the current value of a series of future cash flows. In this case, the future cash flows are the $1000 monthly payments for 9 years. By applying the formula, which involves discounting each cash flow back to its present value using the interest rate, we find that the present value of the prize is $76,812.50.

This means that if you were to receive $1000 per month for 9 years and could earn an 8 percent return on your money, the equivalent present value of that prize, received upfront, would be $76,812.50.

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a. the equation for the hyperbola is x^2 / 4 - y^2 / 12 = 1. b. the equation for the hyperbola is [(x - 4)^2 / 9] - [(y - 3)^2 / 7] = 1.

A) To find the equation for the hyperbola with vertices (±2, 0) and foci (±4, 0), we can use the standard form equation for a hyperbola:

[(x - h)^2 / a^2] - [(y - k)^2 / b^2] = 1,

where (h, k) represents the center of the hyperbola, a is the distance from the center to the vertices, and c is the distance from the center to the foci.

In this case, the center is at (0, 0) since the vertices are symmetric with respect to the y-axis. The distance from the center to the vertices is a = 2, and the distance from the center to the foci is c = 4.

Using the formula c^2 = a^2 + b^2, we can solve for b^2:

b^2 = c^2 - a^2 = 4^2 - 2^2 = 16 - 4 = 12.

Now we have all the necessary values to write the equation:

[(x - 0)^2 / 2^2] - [(y - 0)^2 / √12^2] = 1.

Simplifying further, we get:

x^2 / 4 - y^2 / 12 = 1.

Therefore, the equation for the hyperbola is:

x^2 / 4 - y^2 / 12 = 1.

B) To find the equation for the hyperbola with foci (4, 0) and (4, 6) and asymptotes y = 1 + (1/2)x and y = 5 - (1/2)x, we can use the standard form equation for a hyperbola:

[(x - h)^2 / a^2] - [(y - k)^2 / b^2] = 1,

where (h, k) represents the center of the hyperbola, a is the distance from the center to the vertices, and b is the distance from the center to the foci.

From the given information, we can determine that the center of the hyperbola is (4, 3), which is the midpoint between the two foci.

The distance between the center and each focus is c, and in this case, it is c = 4 since both foci have the same x-coordinate.

The distance from the center to the vertices is a, which can be calculated using the distance formula:

a = (1/2) * sqrt((4-4)^2 + (6-0)^2) = (1/2) * sqrt(0 + 36) = 3.

Now we have all the necessary values to write the equation:

[(x - 4)^2 / 3^2] - [(y - 3)^2 / b^2] = 1.

To find b^2, we can use the relationship between a, b, and c:

c^2 = a^2 + b^2.

Since c = 4 and a = 3, we can solve for b^2:

4^2 = 3^2 + b^2,

16 = 9 + b^2,

b^2 = 16 - 9 = 7.

Plugging in the values, the equation for the hyperbola is:

[(x - 4)^2 / 9] - [(y - 3)^2 / 7] = 1.

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Answer:

answer is $5.12

Step-by-step explanation:

Using the formula two and replacing the given values:

Sale Price = Original Price - Amount Saved. So,

Sale Price = 6.40 - 1.28

Sale Price = $5.12 (answer)

This means, the cost of the item to you is $5.12.

You will pay $5.12 for an item with original price of $6.40 when discounted 20%. In other words, if you buy an item at $6.40 with 20% discounts, you pay $6.40 - 1.28 = $5.12

Suppose Have you received a amazon promo code of 1.28. If the price is $6.40 what was the amount saved in percent:

3) 1.28 is what percent off $6.40?

Using the formula two and replacing the given values:

Amount Saved = Original Price x Discount % /100. So,

1.28 = 6.40 x Discount % / 100

1.28 / 6.40 = Discount % /100

100 x 1.28 / 6.40 = Discount %

128 / 6.40 = Discount %, or

Discount % = 20 (answer)

Answer:

v = m/D

Step-by-step explanation:

Step 1: Write equation

D = m/v

Step 2: Multiply both sides by v

Dv = m

Step 3: Divide both sides by D

v = m/D

Refer to the graph below for the graphical representation of the given equation y = 49x.

Graph:

Refer to the graph given below for the equation y=49x.

Therefore, the graph of the given equation y=49x is shown below.

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The zero of the function, from the given graph is -5. Therefore, option A is the correct answer.

The graph of a function is given below.

The zeros of a function are defined as the values of the variable of the function such that the function equals 0. Graphically, the zeros of a function are the points on the x-axis where the graph cuts the x-axis. In other words, we can say that the zeros of a function are the x-intercepts of its graph. The number of zeros of a polynomial function is equal to the degree of the polynomial.

From the given graph we can see the graph of function is passing through the x-axis at -5.

The zero of the function, from the given graph is -5. Therefore, option A is the correct answer.

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Answer:

-8, 3

Step-by-step explanation:

\(f(x) = (x - 3)(x + 8) \\ plug \: f(x) = 0 \\ (x - 3)(x + 8) = 0 \\ x - 3 = 0 \: or \: x + 8 = 0 \\ x = 3 \: or \: x = - 8 \\ \therefore \: - 8, \: 3 \: are \: zeros \: \)

Answer:

.By taking LCM .

. Taking LCM and multiplying numerator and denominator by 10,100,1000 etc.

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An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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Adding a derivational suffix to a word often changes the part of speech is true.

What is derivational suffix ?

A derivational suffix is a type of affix that is added to the end of a base word to create a new word with a different meaning, often a different part of speech.

For example, adding the derivational suffix "-ness" to the base word "kind" creates the new word "kindness," which is a noun that refers to the quality or state of being kind. Similarly, adding the derivational suffix "-able" to the base word "value" creates the new word "valuable," which is an adjective that describes something that is worth a lot.

Derivational suffixes can change the meaning and function of a word, and they are often used to create new words in English. Some common derivational suffixes include "-er," "-able," "-ness," "-ful," "-ish," and "-ize."

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Complete question is: Adding a derivational suffix to a word often changes the part of speech is true.

Answer: The answer to this math question about completing the equation in order to calculate the cost of the portable speaker, including the sales tax is $94.34.

Step-by-step explanation: I don't have any step-by-step explanation, I'm sorry about that, but anyway, I hope that my given short answer is very helpful to your own math question about completing the equation in order to calculate the cost of the portable speaker, including the sales tax, please mark me as Brainliest, take care, always be safe, and have a great rest of the day! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

Answer:

2 inches per hour

Step-by-step explanation:

2 1/2 hours is equivalent to 150 minutes.

Set up a proportion; let x equal inches of rain

\(\frac{5}{150}\)=\(\frac{x}{60}\)

Cross multiply -> 150x=300

Divide both sides by 150 to get -> x=2

The matrix must have pivot columns. Otherwise, the equation Ax = 0 would have a free variable, in which case the columns of A would not span R5. Therefore, the correct answer is C.

A pivot column is a column of the matrix that has a non-zero entry in the pivot position and all entries below the pivot are zero. In row echelon form, every row below a pivot column has a zero in the corresponding position. The pivot columns correspond to the linearly independent columns of the original matrix and the number of pivot columns determines the rank of the matrix.

The rank of a matrix is defined as the number of linearly independent columns or rows in the matrix. If the columns of a matrix span Rn, then the rank of the matrix must be equal to n. This means that the matrix must have n linearly independent columns. To ensure that the columns of A span R5, A must have at least 5 pivot columns. If A had fewer pivot columns, then the equation Ax = 0 would have a non-trivial solution, meaning that the columns of A would not be linearly independent and would not span R5.

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Answer:

a. Total field goal points scored in the first two quarters, in simplest linear expression form is: 3x - 4.

b. The total points scored in the game, in simplest linear expression form is: 6x - 1.

a. The goal points scored in the first two quarters are expressed in linear forms as: 2x - 6 and x + 2.

The total field goal points in the first two quarters = 2x - 6 + x + 2

Add like terms

3x - 4

b. The total points scored in the game = 2x - 6 + x + 2 + 2x + x - 6 + 9

Add like terms and simplify the expression

2x - 6 + x + 2 + 2x + x - 6 + 9

6x - 1

Step-by-step explanation:

Answer:

it's 4

Step-by-step explanation:

take the given point and evaluate the x value in for x, and the y value for y, and simplify. If the equation is true, the point is a solution. if not, then it is not a solution.

Answer:

0.927

Step-by-step explanation:

just plug it in to a algebraric calculator!