Two step for T+4=-7 ?

Answers

Answer 1

Answer:

Step-by-step explanation:

T+4 = -7

T = -7 -4

T = -11

Answer 2
T=-11

Isolate the variable by doing the opposite operation of the constant on the side of the variable. I this case, subtract 4 from both sides -7-4=11

Related Questions

A carnival game has 160 rubber ducks floating in a pool. The person playing the game takes out one duck and looks at it.

If there’s a red mark on the bottom of the duck, the person wins a small prize.

If there’s a blue mark on the bottom of the duck, the person wins a large prize.

Many ducks do not have a mark.

After 50 people have played the game, only 3 of them have won a small prize, and none of them have won a large prize.

Estimate the number of the 160 ducks that you think have red marks on the bottom.

Answers

Answer:

We can use the information provided to estimate the number of ducks that have red marks on the bottom.

If only 3 out of 50 people have won a small prize, then we can estimate that the probability of winning a small prize is 3/50 or 0.06. Since the person wins a small prize if there’s a red mark on the bottom of the duck, we can estimate that the proportion of ducks with red marks is also 0.06.

So, we can estimate the number of ducks with red marks as follows:

Number of ducks with red marks = 0.06 x 160

Number of ducks with red marks = 9.6

We can estimate that there are about 9 or 10 ducks with red marks on the bottom.

what is the volume of the cube shown

Answers

[tex] {( \frac{9}{4} )}^{3} [/tex]

=

[tex] \frac{729}{64} [/tex]

Answer: 11 25/64

Step-by-step explanation: 2 1/4 x 2 1/4= 5 1/16 x 2 1/4 = 11 25/64

A rectangular prism shaped display case is 30 1/2 inches wide, 10 1/2 inches long, and 32 1/4 inches tall. What is the volume of the display case in cubic inches?
A. 73 1/4 in
B. 320 1/4 in
C. 10, 328 1/16 in
D. 28,372 5/8 in

Answers

Answer:

The volume of the display case in cubic inches is 10,328 1/16 in.

Which one of these tables are proportional? Show your work.

Answers

Answer:

Table B is proportional since y = 1.5x:

4.5 ÷ 3 = 1.5

7.5 ÷ 5 = 1.5

10.5 ÷ 7 = 1.5

Write a recursive sequence that represents the sequence defined by the following explicit formula:

Answers

The recursive sequence that represents the sequence defined by the following explicit formula is given as follows:

[tex]a_1 = -32[/tex][tex]a_{n + 1} = -\frac{1}{4}a_n[/tex]

What is a geometric sequence?

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

The first term and the common ratio for this problem is given as follows:

[tex]a_1 = -32, q = -\frac{1}{4}[/tex]

The common ratio means that each term is the previous term multiplied by -1/4, hence the recursive formula is given as follows:

[tex]a_{n + 1} = -\frac{1}{4}a_n[/tex]

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If (2x, x + 17, x + 21, ....) is an arithmetic sequence find the value of x ?​

Answers

Answer:

Since (2x, x + 17, x + 21, ...) is an arithmetic sequence, we know that the common difference between consecutive terms is constant.

The common difference can be found by subtracting any two consecutive terms in the sequence. Let's subtract the second term (x + 17) from the first term (2x):

2x - (x + 17) = x - 17

Now let's subtract the third term (x + 21) from the second term (x + 17):

(x + 17) - (x + 21) = -4

Since the common difference is constant, we can set the two expressions for the common difference equal to each other:

x - 17 = -4

Solving for x, we get:

x = 13

Therefore, the value of x that makes the sequence (2x, x + 17, x + 21, ...) an arithmetic sequence is x = 13.

Is the figure line symmetric?
If yes, how many lines of symmetry does the figure have?

Snow flake
A.

No

B.

Yes; 3 lines of symmetry

C.

Yes; 6 lines of symmetry

D.

Yes; 12 lines of symmetry

Answers

The figure is indeed symmetric and the number of lines of symmetry the snowflake has is C. Yes; 6 lines of symmetry.

How many lines of symmetry does a snowflake have ?

Generally a snowflake is hexagonal and has 6-way radial symmetry. Thus, one can rotate it 60 degrees (the sixth of full rotation) and it still appears the same.

So, overall, this means that a snowflake holds 6 lines of symmetry which divide it into two identical halves reflecting each other. Consequently, it can be rotated in 60-degree increments and still holds identicality. Akin to this final property, the snowflake artifact possesses six uniquely divided

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1. Lana completed 22 of the puzzles in
her puzzle book. There are 10 puzzles
remaining. What percent of the puzzle
has she completed?

Answers

Answer:

Lana has completed 22 out of 32 puzzles in her book. To find the percentage of the puzzle she has completed, divide the number of puzzles she has completed by the total number of puzzles in the book and multiply by 100.

22/32 x 100 = 68.75%

Lana has completed 68.75% of the puzzles in her book.

Answer:

Lana has completed 68.75% of the puzzles in her puzzle book.

Step-by-step explanation:

Lana has completed a total of 22 puzzles and there are 10 puzzles remaining, so the total number of puzzles in the book is:22 + 10 = 32To find the percentage of puzzles Lana has completed, we can use the following formula:percentage = (completed puzzles / total puzzles) x 100%Substituting the values, we get:percentage = (22 / 32) x 100%

percentage = 0.6875 x 100%

percentage = 68.75%Therefore, Lana has completed 68.75% of the puzzles in her puzzle book.

The dimensions of a cylinder are shown in the diagram




Round to the nearest whole number , what is the total surface area of the cylinder in cubic centimeters

Answers

Answer:

S = 2π(3^2) + 2π(3)(8.2) = 67.2π = 211 cm^3

What is a square of a binomial?

Answers

A square of a binomial is a polynomial expression that results from multiplying a binomial by itself. The result is a trinomial expression with three terms.

Since somebody else already answers I’m just putting this because I need some points

Please help! Show your work.

Answers

The value of the variable x in the equation 6 / -4.5 = 8 / 4x is - 3 / 2.

How to solve equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Therefore, let's solve the equation.

The variable in the equation is x . A variable is a number represented with letter in an equation.

Therefore,

6 / -4.5 = 8 / 4x

cross multiply

6(4x) = -4.5(8)

24x = - 36

divide both sides of the equation by 24

Therefore,

x = -36 / 24

x = - 3 / 2

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after the school carnival there were 20 apples left over eight students shared these apples equally how many apples did each student receive​

Answers

Answer:

They would have gotten 2 full apples each. There would be 4 left over. If they decided to split those 4 apples, they would have gotten 2 1/2 apples each.

Step-by-step explanation:

20 ÷ 8 = 16 R 4

16 ÷ 8 = 2 (the full apples they got each_)

4 x 2 = 8 (split the 4 apples in half to make 8)

Therefore, each student would have gotten 2 full apples and 1/2 of an apple.

in the diagram at the right, the length of a square is (3x+7) units. The dimensions of the cut-out rectangle are x by (2x+5) units. Which choice expresses the area of the shaded regions, in square units?​

Answers

[tex] {(3x + 7)}^{2} - ((2x + 5) \times x) [/tex]

[tex] = 7 {x}^{2} - 5x + 49[/tex]

Use the model to estimate f(x) when
x
=
5
.
f(x) =

Use the model to estimate f(x) when
x
=
10
.
f(x) =

Answers

Using the model to estimate f(x) when x = 5 and x = 10, the vaues are 18.33 and 17.78

Using the model to estimate f(x) when x = 5 and x = 10

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

f(x) = -0.11x + 18.88

Also, we have

x = 5 and x = 10

Substitute the known values in the above equation, so, we have the following representation

f(5) = -0.11 * 5 + 18.88 = 18.33

f(10) = -0.11 * 10 + 18.88 = 17.78

Hence, the values are 18.33 and 17.78

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Complete question

Question: A statistician calculated the following linear model to describe the data: f(x) = – 0.11x + 18.88 Use the model to estimate f(x) when x = 5

Given: a || b


Find the missing angle measures in the diagram. Explain how you find each angle measure. (explain please)

Answers

The missing angles measures in the diagram above when calculated is given below:

<1 = 42°

<2 = 76°

<3 = 62°

<4 = 76°

How to calculate the missing angle measures?

For <1:

The total angle on a straight line = 180°

That is: angles <1+62°+<4 = 180

<1 = 180-62+76

= 180-138

= 42°

For <4: 180= 62+42+<4

<4 = 180-104

= 76°

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This is for the following two questions.

A couple plans to retire in 35 years. At that time, they would like to have enough money in an account so that they can receive a $6,000 every month end for the next 25 years. The account earns 8% APR compounded monthly and will continue to do so until there is a zero balance in the account.
To achieve this goal, how much money does the couple need to have in this account by the time they retire?
If they have not saved any money yet, how much does the couple need to deposit each month end until they retire?

Answers

The couple needs to deposit about $554.49 each month end until they retire to reach their goal.

How to solve

To find the monthly deposit needed, we'll use the future value of an ordinary annuity formula:

FV = PMT * [((1 + r)^n - 1) / r]

We already know the future value (FV) as $953,776.53, and we want to solve for PMT, the monthly deposit:

PMT = FV / [((1 + r)^n - 1) / r]

We'll use the same r (0.08/12) and a new n (35 * 12) for the 35 years until retirement:

PMT = 953776.53 / [((1 + 0.08/12)^(35*12) - 1) / (0.08/12)]

PMT ≈ 554.49

Thus, the couple needs to deposit about $554.49 each month end until they retire to reach their goal.

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Determine that the value x=9 of the following expiration given x2+3x-5​

Answers

Step-by-step explanation:

To determine the value of x that satisfies the expression x^2 + 3x - 5 when x = 9, we simply substitute 9 for x and evaluate the expression:

9^2 + 3(9) - 5 = 81 + 27 - 5 = 103

Therefore, when x = 9, the expression x^2 + 3x - 5 evaluates to 103.

rate my answer, please.

A car is driving on a road with a velocity of 20 − 10t miles per hour,
where t is the time in hours since the car started driving. What is the total distance
travelled by the car between times t = 0 and t = 3? Show work.
a. 5mi
b. 10mi
c. 15mi
d. 20mi
e. 25mi

Answers

The total distance traveled by the car between t = 0 and t = 3 is given as follows:

c. 15 mi.

How to obtain the total distance?

The velocity function is given as follows:

v(t) = 20 - 10t.

The distance function is the integral of the velocity function, hence it is given as follows:

d(t) = 20t - 5t².

The distance at t = 0 is given as follows:

d(0) = 20(0) - 5(0)²

d(0) = 0.

The distance at t = 3 is given as follows:

d(3) = 20(3) - 5(3)²

d(3) = 15.

Hence the total distance is given as follows:

15 - 0 = 15 mi.

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Complete the equation that represents the relationship between p and a.

Answers

The equation that represents the relationship between p and a is a = p - 6.

How to determine an equation of this line?

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

y - y₁ = m(x - x₁)

Where:

x and y represent the data points.m represent the slope.

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

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (1 - 0)/(7 - 6)

Slope (m) = 1/1

Slope (m) = 1.

At data point (6, 0) and a slope of 1, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 0 = 1(x - 6)  

y = x - 6 ≡ a = p - 6

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Need help don’t get it

Answers

Answer:

[tex] \frac{210}{360} = \frac{7}{12} [/tex]

This figure represents 7/12 of the circle.

An automobile purchased for use by the manager of a firm at a price of $32,500 is to be depreciated by using the straight-line method over 5 years. What will be the book value of the automobile at the end of 3 years? (Assume that the scrap value is $0.) $

Answers

The book value of the automobile at the end of 3 years is $13,000.

What is the book value?

The straight-line method is method of depreciation that allocates the same depreciation expense each year.

Straight line depreciation expense = (Cost of asset - Salvage value) / useful life

($32,500 - 0) / 5 = $6,500

Total depreciation in 3 years = $6,500 x 3 = $19,500

Book value = cost of the automobile - total depreciation

$32,500 - $19,500 = $13,000

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Find the polar coordinates of a point with Cartesian coordinates (x,y)=(−√2,−√2).

Answers

Answer: The correct answer is (2,5π/4).

Step-by-step explanation:

The correct polar coordinates of the point (-√2, -√2) are (r, θ) = (2, 5π/4).

Explanation:

Using the formulas for converting Cartesian coordinates to polar coordinates:

r = √(x^2 + y^2)

θ = atan2(y, x)

Plugging in the given values:

r = √((-√2)^2 + (-√2)^2)

= √(2 + 2)

= √4

= 2

θ = atan2(-√2, -√2)

= 5π/4 radians

So, the correct polar coordinates of the point (-√2, -√2) are (r, θ) = (2, 5π/4).

Polygon ABCD with vertices at A(−4, 6), B(−2, 2), C(4, −2), and D(4, 4) is dilated using a scale factor of three fifths to create polygon A′B′C′D′. If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′.

A′(5.8, −3), B′(1.6, −1.5), C′(−1.6, 3), D′(2.5, 3)
A′(−12, 18), B′(−6, 6), C′(12, −6), D′(12, 12)
A′(2.4, −3.6), B′(1.2, −1.2), C′(−2.4, 1.26), D′(−2.4, −2.4)
A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4)

Answers

If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′ are: D. A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4).

What is dilation?

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage by using a scale factor of 3/5 centered at the origin as follows:

Ordered pair A (-4, 6) → Ordered pair A' (-4 × 3/5, 6 × 3/5) = Ordered pair A' (-2.4, 3.6).

Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3/5, 2 × 3/5) = Ordered pair B' (-1.2, 1.2).

Ordered pair C (4, -2) → Ordered pair C' (4 × 3/5, -2 × 3/5) = Ordered pair C' (2.4, -1.2).

Ordered pair D (4, 4) → Ordered pair D' (4 × 3/5, 4 × 3/5) = Ordered pair D' (2.4, 2.4).

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Karissa wants to use the data to determine which brand is most absorbent. Based on the data collected at the beginning of the contest, enter the approximate number of paper towels needed to clean each square foot of the spill. Enter the number of Brand A paper towels needed per square foot in the first box. Enter the number of Brand B paper towels needed per square foot in the second box. Enter the number of Brand C paper towels needed per square foot in the third box.

Answers

Therefore, we need 17 towels of brand C to clean a single sq ft

How to solve

Brand A:

we add up all the sq ft cleaned by brand a

0.75+1.50+2.25=4.5

and we add up all paper towels used in total

6+13+20=39

now

to clean 4.5 square ft, we need 39 towels. how many we need to clean a single square foot?

4.5 sq ft ___________39 towels

1 sq ft_____________A

and A= 1 sq ft * 39 towels / 4.5 sq ft

and that gives us 8.6 towels, so we need 9 towels to clan a square foot with the brand A

now we repeat this with bran b and c

brand B:

0.75+1.75+2=4.5 sq ft

9+22+25= 56 towels

4.5 sq ft________56 towels

1 sq ft__________B

B= 1 sq ft * 56 towels / 4.5 sq ft = 12.4

so we need 13 towels of brand B

at last

brand C:

1+1.75+2.5=5.25 sq ft

17+29+41= 87 towels

5.25 sq ft________87 towels

1 sq ft__________C

C= 1 sq ft * 87 towels / 5.25 sq ft = 16.57 towels

Therefore, we need 17 towels of brand C to clean a single sq ft


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You are going on a long trip and want to calculate your fuel efficiency. When you start your trip your odometer read 106069 miles. At the end of your trip your odometer reads 106485 miles.

You started your trip with a full tank of gas. After the trip, you refill the tank with 13 gallons of gas.

What was your fuel efficiency for this trip, in miles per gallon?

Answers

Answer:32mi/gal

Step-by-step explanation:

106485 - 106069 = 416mi (the distance that you traveled)

416/13 = 32

32mi/gal

In 2016 , a clinical study in a small town of New Hampshire found that about 13 % of its population had the flu . The study also showed that 19 % of the people who had the flu tested negitive while 8% of of the people who did not have the flu tested positive . based on the given information construct a realative frequency table.

Answers

The relative frequency of a person having the flu and testing positive for the flu is 0.1053/0.901 = 0.117, or approximately 11.7%. The relative frequency table is given below.

To get the relative frequencies, we divide each cell value by the total frequency of the table.

This is how we construct relative frequency table.

To construct a relative frequency table, we need to determine the different possible outcomes and their corresponding frequencies based on the given information.

Let's define the following events:

A: a person has the flu

B: a person tests positive for the flu

Then, using the information given in the problem, we can construct the following relative frequency table:

                   A (has the flu)   not A (does not have the flu) Total

B              0.13*0.81 = 0.1053          0.08*0.87 = 0.0696              0.1749

not B       0.19*0.81 = 0.1540           0.63*0.87 = 0.5471               0.7011

To                   0.2843                                 0.6171                         0.901

In this table, the values in the cells represent the product of the probability of the row event and the probability of the column event. For example, the value 0.1053 in the top left cell represents the probability of a person having the flu (event A) and testing positive for the flu (event B), which is calculated as 0.13 x 0.81.

The total frequency for each row and column is calculated by summing the values in that row or column. The total frequency for the entire table is the sum of all the values, which is 0.901 in this case.

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Arrange the steps in order to simplify the expression

Answers

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Find a quadratic equation which has solutions x=7 and x=-9. Write the quadratic form in the simplest standard form x^2+bx+c=0

Answers

Answer: x^2+2x-63

Step-by-step explanation:

Quadratic Equation = x^2-(Sum of Solution)x+(Product of Solution)

                                =x^2-(7-9)+(7*(-9))

                                =x^2+2x-63

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Fill the blank with either E or to make the statement true.
- 13 {8, 13, 22, 36}
***
fill in the answer box to complete your choice

Answers

We can see here that the statements that are true are:

B. The symbol should be used because (8, 13, 22, 36) is a set and none of the elements in - 13 is a set.

C. The ∉ symbol should be used because ∉ is not an element of the set.

F. The ∈ symbol should be used because ∉ is not an element of the set.

What is a set?

A set in mathematics is a collection of unique objects, referred to as elements or members, that are paired off according to some shared quality.

Numbers, letters, words, forms, persons, and other mathematical things can all be included in a set.

We can see here that -13 ∉  (8, 13, 22, 36).

These statements are true because -13 is not actually an element of (8, 13, 22, 36). Thus, in the given set of data, -13 is not seen in the given set.

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Which triangle could be drawn as it is described?

Answers

The triangle which can be drawn as per the condition described is only option 2. an isosceles triangle with measure  20° and 80°.

Triangle which can be drawn as per the measurements are,

An acute triangle with sides measuring 7, 4, 2.

In an acute triangle, the square of the longest side is less than the sum of the squares of the other two sides.

According to the Pythagorean theorem.

7²< 4² + 2²

49 < 16 + 4

49 < 20

This is a contradiction, since 49 cannot be less than 20.

It is not possible to draw triangle.

An isosceles triangle with measures of angle 20° and 80°.

Sum of interior angles  of a triangle is 180°

Here, third angle = 180° - ( 20° + 80° )

⇒Third angle = 80°

Two angles are congruent ⇒ opposite sides to congruent angles are also congruent.

It forms a isosceles triangle.

An obtuse triangle with sides measuring 5, 10 and 15.

Side lengths 5, 10, and 15 do not form a triangle at all.

Since the sum of the two shorter sides is less than the longest side.

5 + 10 = 15

It is not possible to have an obtuse triangle with sides measuring 5, 10, and 15.

An scalene triangle with angle measuring 110° and 35°.

Sum of the interior angles is always 180°.

Measure of the third angle ,

180° - 110° - 35° = 35°

Three angles of the triangle measure 110°, 35°, and 35°.

It represents isosceles triangle.

Therefore, the possible triangle as per the given condition is only option 2. isosceles triangle with measure 20° and 80°.

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Shifting a positive integer left by i bits gives the same result as multiplying the same integer by 2 i. N2 i=N>i Given an integer N stored at memory address 5000 , write a program that stores the result of N8 at memory address 5004 and the result of N/16 at memory address 5008. Use the ' + ' button under the Memory display to initialize the memory at address 5000. Ex: If the content at memory address 5000 is initialized in the simulator as 64, the data memory will contain: Note: Shift-right performs an integer division; therefore, digits after the decimal point are ignored. 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For each of the following scenarios, identify the populations, the counts, and the sample sizes; compute the two proportions and find their difference. a. A study of tipping behaviors examined the relationship between the color of the shirt worn by the server and whether or not the 20 customer left a tip.2 There were 418 male customers in the study. Of the 69 customers served by a server wearing a red shirt, 40 left a tip. Of the 349 who were served by a server wearing a shirt of a different color, 130 left a tip. b. A sample of 40 runners was used to compare two new routines for stretching. The runners were randomly assigned to one of the routines, which they followed for two weeks. Satisfaction with the routines was measured using questionnaire at the end of the two-week period. For the first routine, 11 runners said that they were satisfied or very satisfied. For the second routine, 14 runners said that they were satisfied or very satisfied. How do you know which solvent is best for separation in TLC? (oxidation lab) What step of the Joint Planning Process (JPP) has a series of primary inputs and outputs? Some of the inputs are strategic direction and the higher headquarters' planning directive, while some of the products, or outputs are staff estimates and the mission statement. (JP 5-0, Chapter V, V-4 through V-20) if we calculate an r of .60, the proportion of the variation of y that is explained by x is select one: a. .36 b. .40 c. .60 d. .64 a group of nominally independent communities occupying a specific region, sharing a common language and culture, which is integrated by some unifying factor. this is the description of what type of political organization? Vitamin B 3 (niacin) alternative synthesis Assume zero transactions costs. As of now, the Japanese one-year interest rate is 3 percent, and the U.S. one-year interest rate is 9 percent. The spot rate of the Japanese yen is $.0090 and the one-year forward rate of the Japanese yen is $.0097. a. Determine whether interest rate parity exists, or whether the quoted forward rate is quoted too high or too low. b. Based on the information provided in (a), is covered interest arbitrage feasible for U.S. investors, for Japanese investors, for both types of investors, or for neither type of investor? how a power supply works the equation governing the voltage drop across the capacitor in an circuit is where is the externally impose The distance (d) a vehicle travels at a given speed is directly proportional to the time (t) it travels. If a vehicle travels 40 miles in 60 minutes, how far can it travel in 90 minutes ? Scenario: You run a monthly meeting and find that out of eight participants one person never has their camera on during the meeting. Youve called on them for their opinions and about 50% of the time they will respond. The other 50% there is just silence.a. What do you do?b. Do you require everyone to have their camera on for meetings? Strings are immutable which means once a string object is created its contents cannot be changed. Why would the Europeans want honour ? You are a dentist in bloomington that has a thriving practice based on the large number of college students in town. You have one of the highest wisdom teeth extraction referral rates of all dentists in town, and you refer all of your patients to the oral surgeon where your brother works as a receptionist. What type of conflict of interest is most illustrated within this scenario?.