ANSWER QUICK PLEASE
Question 1

Simplify: -6 + 10 +-8

Question 2
Simplify (-3)(6)

Question 3

Simplify
-7 - 18

Answer:

2. 0.075

3. 0.416

4. 20.3

5. 1.32

6. 0.503

7. 12.11

8. 0.214

l = 27/4 + √47 . (3i/4) and  l = 27/4 - √47 . (3i/4) are the value of l in rectangle .

What is a rectangle?

With four sides and interior angles that are all exactly 90 degrees, a rectangle is a four-sided polygon. Every corner or vertex has a right angle where the two sides meet. It differs from a square in that the length of the opposing sides of the rectangle are equal.      

rectangle of area = 72 meter

           72 = l * b

            b = 72/l

 perimeter = 27 meter

      27 = 2( l + b )

       27 = 2( l + 72/l )

        27/2 = ( l + 72/l )

         27/2 = l² + 72/l

          27l = 2l² +  144

             2l² - 27l + 144 = 0

after factor value of l are

              l = 27/4 + √47 . (3i/4)

               l = 27/4 - √47 . (3i/4)

Learn more about rectangle

brainly.com/question/29123947

#SPJ1

The correct answer is an option (d): Impossible.

Both the geometric mean and harmonic mean require positive values. However, in the given set of values, we have negative values (-11 and -14), which makes it impossible to calculate the geometric mean and harmonic mean. Therefore, the correct answer is that it is impossible to calculate the geometric mean and harmonic mean for the given values.

To find the limit of a convergent sequence, we can simply take the limit as n approaches infinity. Let's calculate the limits for each of the given sequences:

A. \(\sf\:\lim_{n \to \infty} \frac{5n}{n+7} \\\)

To find the limit, we divide the leading terms by n:

\(\sf\:\lim_{n \to \infty} \frac{5n/n}{(n+7)/n} = \frac{5}{1} = 5 \\\)

Therefore, the limit of the sequence A is 5.

B. \(\sf\:\lim_{n \to \infty} \frac{4-7n}{8+n} \\\)

Again, divide the leading terms by n:

\(\sf\:\lim_{n \to \infty} \frac{4/n - 7}{8/n + 1} = \frac{0 - 7}{0 + 1} = -7 \\\)

So, the limit of sequence B is -7.

C. \(\sf:\lim_{n \to \infty} \frac{8n - 500\sqrt{n}}{2n + 800\sqrt{n}} \\\)

Divide the leading terms by n:

\(\sf\:\lim_{n \to \infty} \frac{8 - 500\sqrt{n}/n}{2 + 800\sqrt{n}/n} \\\)

As n approaches infinity, the terms involving \(\sf\:\sqrt{n}/n \\\) tend to 0:

\(\sf\:\lim_{n \to \infty} \frac{8 - 500(0)}{2 + 800(0)} = \frac{8}{2} = 4 \\\)

Therefore, the limit of sequence C is 4.

To summarize:

A. The limit of sequence A is 5.

B. The limit of sequence B is -7.

C. The limit of sequence C is 4.

Answer:

(xy) ^ (-1)

Step-by-step explanation:

Good luck!!

Answer:

110.5

Step-by-step explanation:

208=13+(3-1)d

208=13+2d

-13. -13

195=2d

÷2. ÷2

97.5=d. (d means difference)

13(first term)+97.5=110.5

Answer: 676

Step-by-step explanation: r/13=208/r

                                             r²=2704

                                               r=52

                                               13x52=676

There were 14 players on the soccer team.

In the given problem, the members of a soccer team raised $1210.50 to go to a tournament. They rented a bus for $769.50 and budgeted $31.50 per player for meals. We need to find how many players were on the team.To solve this problem, we can start by subtracting the cost of the bus rental from the total amount raised by the team:$1210.50 - $769.50 = $441Now, we can divide this remaining amount by the amount budgeted per player for meals:$441 ÷ $31.50 = 14Therefore, there were 14 players on the soccer team. We can check our answer by multiplying the number of players by the amount budgeted per player for meals:14 x $31.50 = $441This is equal to the remaining amount after the bus rental was paid, which confirms that our answer is correct.

For more such questions on players

https://brainly.com/question/29896229

#SPJ8

Answer:

T = 12

Step-by-step explanation:

8t+1=97

We move all terms to the left:

8t+1-(97)=0

We add all the numbers together, and all the variables

8t-96=0

We move all terms containing t to the left, all other terms to the right

8t=96

t=96/8

t=12

The results of operations between vectors are, respectively:

Case A: u + w = <- 3, - 1>

Case B: - 6 · v = <6, 6>

Case C: 3 · v - 6 · w = <- 21, - 15>

Case D: 4 · w + 3 · v - 5 · u = <39, 4>

Case E: |w - v| = √(4² + 3²) = 5

In this problem we must determine the operations between vectors, this can be done by following definitions:

Vector addition

v + u = (x, y) + (x', y') = (x + x', y + y')

Scalar multiplication

α · v = α · (x, y) = (α · x, α · y)

Norm of a vector

|u| = √(x² + y²)

Now we proceed to determine the result of each operation:

Case A:

u + w = <- 6, - 3> + <3, 2>

u + w = <- 3, - 1>

Case B:

- 6 · v = - 6 · <- 1, - 1>

- 6 · v = <6, 6>

Case C:

3 · v - 6 · w = 3 · <- 1, - 1> - 6 · <3, 2>

3 · v - 6 · w = <- 3, - 3> + <- 18, - 12>

3 · v - 6 · w = <- 21, - 15>

Case D:

4 · w + 3 · v - 5 · u = 4 · <3, - 2> + 3 · <- 1, - 1> - 5 · <- 6, - 3>

4 · w + 3 · v - 5 · u = <12, - 8> + <- 3, - 3> + <30, 15>

4 · w + 3 · v - 5 · u = <39, 4>

Case E:

|w - v| = |<3, 2> - <- 1, - 1>|

|w - v| = |<4, 3>|

|w - v| = √(4² + 3²) = 5

To learn more on vectors: https://brainly.com/question/31900604

#SPJ1

Answer: 58 mph

Step-by-step explanation: 456 divided by 8 = 58. You divide the miles he’s rode with the hours he took.

The value of n can be determined by finding the number of visible arcs in the pattern, which is 30 in this case.

To determine the value of n, we need to find the relationship between the total length of visible areas and the number of circles (n).

In the given pattern, each circle contributes to the visible area twice: once as its circumference and once as the overlapping part with the adjacent circles. Since the circumference of each circle is 1 unit, the visible area contributed by each circle is 2 units.

Therefore, the total length of visible areas can be expressed as 2n. Given that the total length is 60 units, we can set up the equation:

2n = 60

Solving this equation, we find:

n = 60/2 = 30

Thus, the value of n is 30.

For more questions on number of visible arcs:

https://brainly.com/question/31336038

#SPJ8

In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.

In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.

To find the value of x in the given proportions, let's solve them one by one:

(5x + 1) : 3 = (2x + 2) : 7

To solve this proportion, we can cross-multiply:

7(5x + 1) = 3(2x + 2)

35x + 7 = 6x + 6

Subtracting 6x from both sides and subtracting 7 from both sides:

35x - 6x = 6 - 7

29x = -1

Dividing both sides by 29:

x = -1/29

Therefore, the value of x in the first proportion is -1/29.

(6x) : (4x) = 7

To solve this proportion, we can simplify the left side:

6x / 4x = 7

Dividing both sides by 2x:

3/2 = 7

This equation is not true, as 3/2 is not equal to 7.

Therefore, there is no value of x that satisfies the second proportion.

In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.

For similar question on proportion.

https://brainly.com/question/29864115  

#SPJ8

The answer is 20.

4 isn't divisible by 5 and 5 isn't divisible by 4.

4 8 12 16 24 28

5 10 15 20 25

Answer:

Step-by-step explanation:

2/5 and 3/4

5*4 = 20

Hope that helps!

It takes 10 minutes for the number of bacteria in the population to double.

To determine the time it takes for the number of bacteria in a population to double, we need to find the value of t when the function f(t) equals twice the initial number of bacteria.

The given function is f(t) = 60,000 * 2^(t/10).

To find the time it takes for the number of bacteria to double, we set f(t) equal to twice the initial number of bacteria, which is 2 * 60,000 = 120,000:

120,000 = 60,000 * 2^(t/10).

Next, we can simplify the equation by dividing both sides by 60,000:

2 = 2^(t/10).

Since both sides of the equation have the same base (2), we can equate the exponents:

t/10 = 1.

To solve for t, we multiply both sides by 10:

t = 10.

Therefore, it takes 10 minutes for the number of bacteria in the population to double.

This result is obtained by setting the growth rate of the bacteria population in the given function. The exponent t/10 determines the rate of growth, and when t is equal to 10, the exponent becomes 1, resulting in a doubling of the initial number of bacteria.

For more scuh questions on population visit:

https://brainly.com/question/31243583

#SPJ8

Answer:

The answer is

Step-by-step explanation:

To find the equation of a line given a point and slope we use the formula

where

m is the slope

( x1 , y1) is the point

From the question

Slope / m = - 2

The point is ( 10, - 9)

Substitute the values into the above formula

That's the final answer is

Hope this helps you

Answer:

2. $240.50

3. See below

Step-by-step explanation:

2.

I = Prt

where I = interest

P = principal amount (amount of investment)

r = annual interest rate

t = time in years

t = 4 months = 4/12 year = 1/3 year

r = 9.25% = 0.0925

I = Prt

I = $7800 × 0.0925 × 1/3

I = $240.50

3. Exact interest takes into account every day of the year. In a regular year, there are 365 days. in a leap year, there are 366 days. Exact interest uses the exact number of days of the specific year for interest calculations of less than a year.

Ordinary interest rounds off a year to 360 days, and calculations are based on a year having 360 days, not 365 of 366 days.

By solving a system of equations we will see that the cost a slice of pizza is $9.80

Let's define the variables:

p = cost of a slice of pizza.

n = cost of the nachos.

We know that "Jeffery ordered 3 pieces of pizza an 2 nachos for total of 16.50"

So we can write:

3p + 2n = 16.50

"Hanah ordered a piece of pizza an 4 nachos for total of 16 "

p + 4n = 16

Then we can write the system of equations:

3p + 2n = 16.50

p + 4n = 16

We can isolate n on the second equation to get:

4n = 16 - p

n = (16 - p)/4

n = 4 - (1/4)p

Replacing that on the other equation we get:

3p + 2*(4 - (1/4)p) = 16.50

Now we can solve this for p.

3p - 8 - 1/2p = 16.50

(5/2)p - 8 = 16.50

(5/2)p = 16.50 + 8

p = (2/5)*(16.50 + 8) = 9.8

So the cost of a slice of pizza is $9.80

Learn more about systems of equations at:

https://brainly.com/question/13729904

#SPJ1

The measure οf the supplementary angle οf x = 61.33° is fοund tο be 118.67°.

An angle is a figure in plane geοmetry that is created by twο rays οr lines that have a shared endpοint. The twο rays are termed the sides οf an angle, and the cοmmοn terminatiοn is called the vertex. Angles are typically expressed as degrees. A "prοtractοr" is a crucial geοmetrical instrument that aids in measuring angles in degrees. Twο sets οf numbers οn a prοtractοr are οriented in οppοsitiοn tο οne anοther. On the οutside rim, οne set gοes frοm 0 tο 180 degrees, while οn the inner rim, the οther set gοes frοm 180 tο 0 degrees.

Let the angle be x.

Twο angles are cοmplementary when their sum is 90°.

Tοw angles are supplementary when their sum is 180°

If x is οne angle, then its cοmplementary angle is (90-x)°

Given x is 4 mοre than twice its cοmplement.

We can write the equatiοn as:

x = 4 + 2*(90-x)

Sοlving,

x = 4 + 180 - 2x

3x = 184

x = 61.33°

Nοw we are asked tο find the supplementary angle οf x.

Supplementary angle = 180 - x = 180 - 61.33 = 118.67°

Therefοre the measure οf the supplementary angle οf x = 61.33° is fοund tο be 118.67°.

To learn more about angles, follow the link.

https://brainly.com/question/30111037

#SPJ1

Square Area = side x side = 3x3 = 9

Rectangle Area = side x side= 7x3= 21

9 + 21 = 30 square inches

Answer:

30 square inches

Step-by-step explanation:

   \(\boxed{\text{\bf Area of rectangle = length *width}}\)

Rectangle1:

     Area = 6 * 3

              = 18 square inches

Rectangle2:

Area = 4 * 3

          = 12 square inches

Area of the figure = area of rectangle1 + area of rectangle2

                             = 18 + 12

                             = 30 square inches

Answer:

B) 0.9072

Step-by-step explanation:

Answer:

25°

Step-by-step explanation:

Angles on a straight line equal 180°, so 180-155=25

Answer:

B I believe but I'm not 100%

Answer:

the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.

First, \(f(x)\) is continuous on its domain, so

\(\displaystyle \lim_{x\to\alpha^+} f(g(x)) = f\left(\lim_{x\to\alpha^+} g(x)\right) \\\\ ~~~~~~~~~~~~~~~~~~ = \sin\left(\frac\pi6 \lim_{x\to\alpha^+} \frac{\ln\left(\sqrt x - \sqrt\alpha\right)}{\ln\left(e^{\sqrt x} - e^{\sqrt\alpha}\right)}\right)\)

As \(x\to\alpha^+\), \(\sqrt x-\sqrt\alpha\to0\) and \(e^{\sqrt x}-e^{\sqrt\alpha}\to0\), so overall we have an indeterminate form ∞/∞. Apply l'Hôpital's rule and simplify.

\(\displaystyle \lim_{x\to\alpha^+} f(g(x)) = \sin\left(\frac\pi6 \lim_{x\to\alpha^+} \frac{\frac1{2\sqrt x\left(\sqrt x - \sqrt\alpha\right)}}{\frac{e^{\sqrt x}}{2\sqrt x\left(e^{\sqrt x} - e^{\sqrt\alpha}\right)}}\right) \\\\ ~~~~~~~~~~~~~~~~~~ = \sin\left(-\frac\pi6 \lim_{x\to\alpha^+} \frac{e^{-(\sqrt x-\sqrt\alpha)} - 1}{\sqrt x - \sqrt\alpha}\right)\)

Substitute \(y=\sqrt x-\sqrt\alpha\), so that \(x\to\alpha^+\implies y\to0^+\).

\(\displaystyle \lim_{x\to\alpha^+} f(g(x)) = \sin\left(-\frac\pi6 \lim_{y\to0^+} \frac{e^{-y} - 1}y\right)\)

The remaining limit is the right-derivative of \(e^{-y}\) at \(y=0\), so

\(\displaystyle \lim_{x\to\alpha^+} f(g(x)) = \sin\left(-\frac\pi6\frac{de^{-y}}{dy}\bigg|_{y\to0^+}\right) \\\\ ~~~~~~~~~~~~~~~~~~ = \sin\left(\frac\pi6\right) = \boxed{\frac12}\)

Triangles are shown to be congruent by the statement that "Angles are congruent by vertical angles."

Triangles are said to be congruent if, under a correspondence, two of a triangle's sides and the angle that connects them are equal to two of another triangle's sides and the angle that connects them.

Given two triangles, Where the base of these triangles are same

And also given that the two angles are the same.

Since,

Two intersecting lines form a pair of vertical angles. The vertical angles are opposite angles with a common vertex (which is the point of intersection).

Thus, the third angle is also equal

From AAS:

AAS stands for Angle-Angle-Side. When two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent

Therefore. "Angles are congruent by vertical angles" is used to show the triangles are congruent by AAS,

Learn more about congruent triangles here:

https://brainly.com/question/22062407

#SPJ1

Answer:

D= It is the total number of data points in the data set, which is also the sum of the row totals or the column totals.

Step-by-step explanation:

The number in the bottom right-hand corner of a two-way frequency table represents D. It is the total number of data points in the data set, which is also the sum of the row totals or the column totals.

When displaying frequencies or relative frequencies for two categorical variables, a two-way table is used. Columns indicate the second category, whereas rows represent the first.

The two-table displays frequencies for two categorical variables in terms of rows and columns.

The number in the bottom right-hand corner of a two-way frequency table represents the total number of data points in the data set, which is also the sum of the row totals or the column totals.

learn more about the two-way frequency table here :

https://brainly.com/question/26096302

#SPJ2

The distance from Atlanta to San Jose is

Answer:

(2,440.1 mi)

The correct equation that matches the given graph is y = cos(x) + 1.

To determine the equation that matches the given graph, we can observe the key features and points provided.

The waveform starts from the y-axis at 1 unit: This suggests that the function has a vertical shift of 1 unit upwards.

The waveform passes through (π, -1), (2π, 1), and (3π, -1): This indicates that the function oscillates between the values of -1 and 1 as x increases.

The waveform intercepts the x-axis at π/2, 3π/2, 5π/2, and 7π/2: This suggests that the function has zeros or x-intercepts at these values.

Based on these observations, the function can be represented as a cosine function.

The cosine function with a vertical shift of 1, oscillating between -1 and 1, and having zeros at π/2, 3π/2, 5π/2, and 7π/2 is:

y = cos(x) + 1

For similar questions on equation

https://brainly.com/question/17145398

#SPJ11

The area of the shaded region ECODF is given by  8√2 - 4 - π units and rounding it to the nearest tenth we get, 4.2 units.

From the given diagram we can deduce that -

Area(ECODF) = Area(ABFE) − Area(OAC) − Area(OBD) − Area(CAE)− Area(DBF)

OA = OB = 2√2

⟹AB = EF = 4√2

AE = BF = 2

Area(ABFE) =2 × 4√2 = 8√2

Now, AC = BD =2

OC = OD = \(\sqrt{(2\sqrt{2})^{2} - 2^{2}}\)

=√(8−4)

= √4

= 2

Area(OAC) = Area(OBD) = 12 × 2 × 2 = 2

Triangles  OAC  and  OBD  are isosceles right triangles:

∠OAC = ∠OBD = 45°  

Sectors  CAO  and  DBF  have central angles:

∠CAE = ∠DBF = 90°  − 45° = 45°

Area(CAE) = Area(DBF) = 45/360 × π(2^2) = π/2

hence, the area of region ECODF is given by -

Area(ECODF) = 8√2 - 2(2) - 2(π/2)

Area(ECODF) = 8√2 - 4 - π

and rounding it to the nearest tenth we get, 4.2 units.

Read more about Tangents:

brainly.com/question/4470346

#SPJ4

The complete question is -

Circles centered at $A$ and $B$ each have radius 2. Point $O$ is the midpoint of $\overline{AB}$, and $OA = 2\sqrt2$. Segments $OC$ and $OD$ are tangent to the circles centered at $A$ and $B$, respectively, and $\overline{EF}$ is a common tangent. What is the area of the shaded region $ECODF$? Round your answer to the nearest tenth.

Step-by-step explanation:

\(93 \times 22minutes = 2046 \\ \frac{2046}{10} = 204.6minutes\)

Answer:

60%

Step-by-step explanation: