PLEASEEEEEEEEEE HELPPP

Answer:

The bonds yielded $798.40 more in profits than the stocks.

Step-by-step explanation:

egde

Answer:

Step-by-step explanation:

x      y

-2     6

-1       2

0       -2

1          -6

2         -10

Equation of the vertical line passing through point (-3, -5) is given by x = -3.

As given in the question,

Line passes through the point (-3, -5)

It represents the x- coordinate is equal to -3

And y- coordinate is equal to -5.

Condition for the line is given as vertical line.

Vertical line represent the value of x- coordinate remain constant.

It represent x-intercept

x = -3

x-intercept represents the equation of the vertical line.

Therefore, equation of the vertical line passing through point (-3, -5) is given by x = -3.

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The linear function that models the relation is y = 5.5x + 1000.

A linear function in slope-intercept form is modeled according to the following rule: y = mx + b

where,

m is the slope, b is the y-intercept, which is the the value of y when the function crosses the x-axis(x = 0).

Given:

(160, 1880) and (200, 2100).

slope, m = (2100 - 1880)/(200 - 160)

m = 5.5.

So,

y = 5.5x + b.

substitute x = 200, y = 2100,

2100 = 5.5(200) + b

b = 2100 - 5.5(200)

b = 1000.

Hence, the equation is given as y = 5.5x + 1000.

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Answer:

D 36.6

Step-by-step explanation:

Here, there is a triangle inscribed inside of a semicircle where the triangle is unshaded and the remained of the semicircle is shaded and we want to find the area of that shaded untouched area of the semicircle.
To do so we must find the area of the two shapes individually and then subtract the area of the triangle from the area of the semi circle as the triangle is what is uncovering the semicircle.

Finding the area of the semicircle

Area of a semicircle = (πr²)/2 where r = radius

Here we are given the diameter of the semicircle which is 13cm. We can easily convert the diameter to radius by dividing it by 2 as the radius is equal to half the diameter

Radius = 1/2 diameter , so radius = 13 / 2 = 6.5cm

We have A = πr²/2

==> plug in radius or r = 6.5

A = π(6.5)²/2

==> simplify exponent

A = π(42.25)/2

==> multiply π and 42.25 ( note that π = 3.14 approximately

A = 132.665/2

==> divide 132.665 by 2

A = 66.366

So the area of the semicircle is 66.366cm²

Finding the area of the triangle

The area of a triangle can be calculated by dividing the product of the base length and height ( formula = bh / 2 where b = base length and h = height )

Here the base length appears to be 5cm and the height appears to be 12cm so b = 5 and h = 12

So we have A = bh/2

==> plug in b = 5 and h = 12

A = (12)(5)/2

==> multiply 12 and 5

A = 60 / 2

==> divide 60 by 2

A = 30

So the area of the triangle is 30cm²

Subtracting the area of the triangle from the area of the semicircle

Finally to find the area of the shaded region we subtract the area of the triangle from the area of the semicircle

We have area of triangle = 30cm² and area of semicircle = 66.366

So area of shaded region = 66.366 - 30 = 36.366

D , 36.6 is closest to our answer therefore the answer is D

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Hey there!

Is this all one complex equation or it this representing multiple? Reason I ask is it's a little hard to understand above.

Answer:

It would be A.

Step-by-step explanation:

Hope it helped brainiest plz

Which measurement statement is correct?

A. There are 2 cups in a pint. correct!

B. There are 2 pints in a cup. wrong!

C. There are 4 quarts in a pint. wrong!

D. There are 4 pints in a quart. wrong

Answer:

answer is A

Step-by-step explanation:

brainiest plzzzzzz

Answer:

Option 4

Step-by-step explanation:

\(x^2+10x=-81 \\ \\ x^2+10x+25=-56 \\ \\ (x+5)^2=-56 \\ \\ x+5= \pm \sqrt{-56}=\pm 2i \sqrt{14} \\ \\ x=-5 \pm 2i \sqrt{14}\)

Answer: The answer would be fewer goods are bought

Step-by-step explanation: This should be the answer because they are basically raising the price for the objects sold and most people do not buy as much as they usually would because of this increase in price

The dimensions of the room are approximately 7 meters by 10.5 meters.

In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.

Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.

The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:

\(\text{Perimeter} = 2(\text{length} + \text{width})\)

Substituting the values we have for length and width, we get:

\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)

Simplifying the equation, we get:

\(\rightarrow35 = 2(2.5\text{x})\)

\(\rightarrow35 = 5\text{x}\)

\(\rightarrow\text{x}=\dfrac{35}{5}\)

\(\rightarrow\bold{x\thickapprox7}\)

So the width of the room is 7 meters.

To find the length, we can substitute x into the expression we have for the length:

\(\rightarrow\text{Length} = 1.5\text{x}\)

\(\rightarrow\text{Length} = 1.5(7)\)

\(\rightarrow\bold{Length=10.5}\)

So the length of the room is 10.5 meters.

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Answer:

680

Step-by-step explanation:

The number of thousands in the number 680,000 will be 680.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expanded form of a number is given by separating the number into its place.

The number is given below.

⇒ 680,000

Write the number 680,000 in the expanded form, then we have

680,000 = six hundred and eighty thousand

The number of thousands in the number 680,000 will be 680.

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Answer:

Step-by-step explanation:

This is clearly a linear relationship.  If Alex rented the movie for 0 days, he'd owe nothing.  If he paid $6 for a 3-day rental, the slope of this line would be m = rise / run = $6/(3 days) = $2/day, which is positive.

Then the equation for this graph is C(x) = ($2/day)x, where x is the number of days for which the movie is rented.

Using this formula, we find three particular points on the graph:

(1, $2), (2, $4), (3, ($6)

Answer:

D

Step-by-step explanation:

i just took the test ur welcome:)

Answer:

number a should be half of 82 which is 41

for question b is two times 26 which is 52

The values of {m} that is greater than 4.6 represent the solution of the given inequality.

An inequality is used to compare two or more expressions or numbers.

For example -

2x > 4y + 3

x + y > 3

x - y < 6

The given inequality is -

5m - 7 > 16

Adding 7 on both sides, we get -

5m - 7 + 7 > 16 + 7

5m > 23

m > 23/5

m > 4.6

Therefore, the values of {m} that is greater than 4.6 represent the solution of the given inequality.

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Answer:

Yup ur answer is 20.5 ounces

Step-by-step explanation:

since there's an additional 2.25 ounces every second I multiplied 2.25 by 4

2.25•4=9

9 ounces added to the beginning 11.5 ounces equals 20.5 ounces that are now in the bowl

hope this helps <3

The value of the standard deviation does not change and remains the same.

Given, a retired statistic professor has recorded final exam results for decades. the mean final exam score for the population of a student is 82.4 with a standard deviation of 6.5.

The mean μ = 82.4

The standard deviation σ = √[ ((x - μ)2 + (y - μ)2 + (z - μ)2)/3 ]

we have to find the variance,

We now add a constant k to each data value and calculate the new mean μ'.

μ' = ((x + k) + (y + k) + (z + k)) / 3 = (x + y + z) / 3 + 3k/3 = μ + k

We now calculate the new mean standard deviation σ'.

σ' = √[ ((x + k - μ')2 +(y + k - μ')2+(z + k - μ')2)/3 ]

Note that x + k - μ' = x + k - μ - k = x - μ

also y + k - μ' = y + k - μ - k = y - μ and z + k - μ' = z + k - μ - k = z - μ

Therefore σ' = √[ ((x - μ)2 +(y - μ)2+(z - μ)2)/3 ] = σ

If we add the same constant k to all data values included in a data set, we obtain a new data set whose mean is the mean of the original data set PLUS k. The standard deviation does not change.

Hence, the standard deviation does not change.

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Answer:

$217.88

Step-by-step explanation:

12% of 194.95 plus the original cost of 194.94 equals the total

1.12*194.54 = $217.8848

Rounded: $217.88

Answer:

B. The limits Lim x-->7 (x²-9x+14)/x-7  and  lim x--> 7 (x-2) equals the same number when evaluated using direct substitution. The limit of both functions is 5

Step-by-step explanation:

Find the complete question in the attachment.

Given the limit of the functions

Lim x-->7 (x²-9x+14)/x-7

To solve this, we will need to factorize the quadratic function at the numerator first.

x²-9x+14

= x²-2x-7x+14

= x(x-2)-7(x-2)

= (x-7)(x-2)

The expression therefore becomes:

= lim x-->7 (x-7)(x-2)/x-7

= lim x-->7 (x-2)

Now substitute the value of x into the simplified function

lim x-->7 (x-2) = 7-2

lim x-->7 (x-2) = 5

Hence Lim x-->7 (x²-9x+14)/x-7 = 5

From the calculation above, it can be seen that Lim x-->7 (x²-9x+14)/x-7 = lim x--> 7 (x-2) = 5

Hence the correct answer based on the explanation above is B.

The limits Lim x-->7 (x²-9x+14)/x-7  and  lim x--> 7 (x-2) equals the same number when evaluated using direct substitution.

For the  trigonometric identity

11. If cos 27° = x, then the value of tan 63° interims of "x" is  x/√1 - x²

12. If Θ be an acute angle and 7sin²Θ + 3 cos²Θ= 4, then tan Θ is  1/√3

13. The value of tan 80° × tan 10° + sin² 70° + sin² 20° is 2

14. The value of (sin 47°/cos 43°)² + (cos 43°/sin 47°) -  4 cos²45° is 0

15. If 2 (cos²Θ - sin²Θ) = 1, Θ is a positive acute angle them the value of Θ is  30°

16. If 5 tan Θ = 4, then (5 sin Θ - 3 cos Θ)/(5 sin Θ + 2 cos Θ) is equal to 1/6

17. If sin(x + 20)° = cos (x + 10)° then the value of "x" is  30°

18. The value of (sin 65°)/ (cos 25°) is 1

To solve the various   trigonometric identity;

11. Given: cos 27° = x

We know that cos (90 - θ) = sin θ

So, cos 63° = sin 27°

And sin 63° = √1 - cos²27°

Substituting cos 27° = x, we get

sin 63° = √1 - x²

Therefore, Therefore, tan 63° = sin 63° / cos 63° = cos 27° / cos 63° = x / cos 63°.

= x/√1 - x²

12. Given: Θ is an acute angle and 7sin²Θ + 3 cos²Θ= 4

Since Θ is an acute angle, sin²Θ + cos²Θ = 1

Substituting sin²Θ + cos²Θ = 1 into the equation 7sin²Θ + 3 cos²Θ= 4, we get

7 (sin²Θ/ cos²Θ) + 3 = 4/cos²Θ - 4 sec²Θ

⇒ 7tan²Θ + 3 = 4(1 + tan²Θ)

⇒ 7tan²Θ + 3 = 4 + 4 tan²Θ

⇒3 tan²Θ = 1

⇒ tan²Θ = 1/3

⇒ tanΘ = 1/√3

13. For tan 80° × tan 10° + sin² 70° + sin² 20°

⇒ tan 80° = cot (90 - 80)° = cot 10°

⇒  sin 70° = cos (90 - 70) = cos 20°

⇒ cot 10° × tan 10° +  cos 20° + sin² 20°

= 1 + 1 = 2

14. (sin 47°/cos 43°)² + (cos 43°/sin 47°) - 4 cos²45°

= (sin 47°/cos43°)² + (cos 43°/sin 47°)² - 4(1/√2)²

= (sin (90° - 43°)/cos43°)² +  (cos (90° - 47°)/sin)²  = 4(1/2)

= (cos 43°/cos 43°)² + (sin 47°/ sin   47°)² - 2

= 1 + 1 - 2 = 0

15. 2 (cos²Θ - sin²Θ) = 1

cos²Θ - sin²Θ = 1/2

Since Θ is an acute angle, sin²Θ + cos²Θ = 1

Substituting sin²Θ + cos²Θ = 1 into the equation cos²Θ - sin²Θ = 1/2, we get

cos²Θ - (1 - cos²Θ) = 1/2

2cos²Θ = 3/2

cos Θ = √3/2(cos 30° = (√3)/2

= 30°

16. Given: 5 tan Θ = 4

We know that tan Θ = sin Θ / cos Θ

So, 5 sin Θ / cos Θ = 4

5 sin Θ = 4 cos Θ

Dividing both sides of the equation by 5, we get

sin Θ / cos Θ = 4/5

∴ sin Θ = 4/5 cos Θ

given that the expression is (5 sin Θ - 3 cos Θ)/(5 sin Θ + 2 cos Θ)

we substitute sin Θ = 4/5 cos Θ  into the equation

⇒(5 × 4/5 cos Θ  - 3 cos Θ)/(5 × 4/5 cos Θ  + 2 cos Θ)

= (4-3)/(4 + 2) = 1/6

17. Given: sin(x + 20)° = cos (x + 10)°

We know that sin(90 - θ) = cos θ

So, sin(x - 20)° = sin(90 - (3x + 10))°

⇒ (x - 20)° = (90 - (3x + 10))°

⇒ x - 20° = 90° - 3x + 10

⇒ 4 x = 120°

⇒ x = 120°/4

⇒ x = 30°

18. To find the value of (sin 65°) / (cos 25°), we can use the trigonometric identity:

To solve this, we can use the following trigonometric identities:

sin(90 - θ) = cos θ

cos(90 - θ) = sin θ

We can also use the fact that sin²θ + cos²θ = 1.

Rewrite sin (65°) / cos (25°)

⇒ sin (65°) = cos (25°)

∴ cos (25°)/ cos (25°) = 1

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Answer:

The answer is 00000000    |3x|-3=3-6x=0

Step-by-step explanation:

Answer:

the answer is  \(x=\frac{2}{3}\)

Step-by-step explanation:

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.

The linear function that describes the data in the table for this problem is given as follows:

C. P(h) = h + 11.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

From the table, we have that when h increases by 1, P(h) also increases by 1, hence the slope m is given as follows:

m = 1/1 = 1.

Hence:

P(h) = h + b.

When h = 4, P(h) = 15, hence the intercept b is given as follows:

15 = 4 + b

b = 11.

Hence the rule is:

P(h) = h + 11.

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Answer:

✔C) 1 - 100 is -99

Step-by-step explanation:

✖A) 1/100 is .01

✖B) 10/100 is .1

✔C) 1 - 100 is -99

✖D) 10 - 100 is -90

Answer:

\(f(x)=-(x+3)^2\)

Step-by-step explanation:

The parent function is f(x) = x^2.

The green function is moved 3 units to the left. This means that the function changes like this:

The green function is also reflected over the x-axis.

Functions that are reflected over the x-axis take are multiplied by an exterior negative (literally, a negative on the outside)

So, we put a negative on the outside.

\((x+3)^2\) --> \(-(x+3)^2\)

The function isn't moved up or downwards, so we don't have to add or subtract anything on the outside.

The function is also not stretched or shrunk.

So, the equation of the green function is:

\(f(x)=-(x+3)^2\)

Answer:

232/15 [as an improper fraction] or 15 7/15 [as a mixed fraction]

Explanation:

16 - 8 / 15 =

(16) - (8 / 15) =

((16 × 15) / 15) - ((8) / 15) =

((240) / 15) - ((8) / 15) =

(240 - 8) / 15 =

232 / 15 =

15 7/15

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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