Which operation would be completed second in the following expression?7^2 - 3 + 9 × 8 ÷ 2multiplysubtractdividesimplify the exponent

Answer:

Please could you add an image, maybe I could answer then

Step-by-step explanation:

271 unit² is the  area of the polygon. The correct option is option B among all the given options.

The size of a patch on a surface is determined by its area. Surface area is defined as the circumference of an open surface or indeed the boundaries of a three-dimensional object, whereas the area of a plane region and plane area relates to the area of a form or planar lamina.

Area can be interpreted as the quantity of material with such a specific thickness required to create a replica of the shape or as the quantity of paint required to completely cover a surface in a single coat. This is the two-dimensional equivalent of the volume of a solid or the length of a curve.

The area is the sum of 3 rectangles are:

First          12 × 19 = 228

Second       3 × 3   = 9

Third           2 × 17 = 34

total area = 228 + 34 + 9 =  271 unit²

Therefore,  271 unit² is the  area of the polygon. The correct option is option B.

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Your question is incomplete but most probably your full question was,

What is the area of the polygon given below

Answer:

Marsha has driven 252 miles

Step-by-step explanation:

In order to figure out the problem, you take the total distance and multiply it by the fraction she has gone. This would be 630*(2/5) which would equal 252. Thus, Masha has driven 252 total miles.

Hope this helps!     :)

The BEST estimate of the average rate of change for the function graphed, over the interval 1 ≤ x ≤ 3 is 2 so option A is correct.

Given:

1 ≤ x ≤ 3

we know x is between 1 and 3 so the best estimate is 2 even though the answer could also be 3 but that will be skewed.

1 ≤ 2 ≤ 3 is the best estimate.

Therefore the BEST estimate of the average rate of change for the function graphed, over the interval 1 ≤ x ≤ 3 is 2 so option A is correct.

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The only valid option for Adam is to use different dimensions that form a right triangle. The dimensions 40 in., 44 in., 58 in. are the closest valid set of dimensions.

What is a valid triangle?

A valid triangle is a three-sided polygon that satisfies the following conditions:

The sum of the lengths of any two sides of the triangle is greater than the length of the third side.

The lengths of all three sides of the triangle are greater than zero.

Adam should use the dimensions 40 in., 44 in., 58 in. for a triangular frame to form a right triangle.

To determine if a right triangle can be formed, we need to check if the Pythagorean theorem is satisfied, which states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the length of the longest side (the hypotenuse).

Let's check each set of dimensions:

For 25 in., 60 in., 65 in.:

25^2 + 60^2 = 625 + 3600 = 4225

65^2 = 4225

The Pythagorean theorem is satisfied, so a right triangle can be formed. However, this triangle is not a valid option for Adam because the lengths are too short for building walls.

For 40 in., 44 in., 58 in.:

40^2 + 44^2 = 1600 + 1936 = 3536

58^2 = 3364

The Pythagorean theorem is not satisfied, so a right triangle cannot be formed using these dimensions.

For 50 in., 110 in., 130 in.:

50^2 + 110^2 = 2500 + 12100 = 14600

130^2 = 16900

The Pythagorean theorem is satisfied, so a right triangle can be formed.

For 130 in., 50 in., 60 in.:

50^2 + 60^2 = 2500 + 3600 = 6100

130^2 = 16900

The Pythagorean theorem is satisfied, so a right triangle can be formed.

Out of the options given, only the dimensions 50 in., 110 in., 130 in. and 130 in., 50 in., 60 in. satisfy the Pythagorean theorem, but both are too large for building walls.

Therefore, the only valid option for Adam is to use different dimensions that form a right triangle. The dimensions 40 in., 44 in., 58 in. are the closest valid set of dimensions.

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Answer:

28/16=14/8 true

3/5=9/15 true

4/32=10/78 false

3/4=12/16 true

Step-by-step explanation:

DID IT ON BRIDGE

Answer:

Step-by-step explanation:

Given sin = .89, tan = 1.98, calculate any other trigonometric values that are available

Calculate csc(x) given sin(x):

csc(x)  =   1

  sin(x)

csc(x)  =   1

  .89

csc(x) = 1.123595505618

Calculate cot(x) given tan(x):

cot(x)  =   1

  tan(x)

cot(x)  =   1

  1.98

cot(x) = 0.50505050505051

Calculate cos(x) given sin(x) and tan(x):

tan(x)  =   sin(x)

  cos(x)

Cross multiplying, we get:

tan(x) x cos(x) = sin(x)

Divide each side of the equation by tan(x):

tan(x) x cos(x)  

tan(x)

=

sin(x)

tan(x)

cos(x)  =   .89

  1.98

cos(x) = 0.44949494949495

Calculate sec(x) given cos(x):

sec(x)  =   1

  cos(x)

sec(x)  =   1

  0.44949494949495

sec(x) = 2.2247191011236

Total Summary:

sin(x) = .89

cos(x) = 0.44949494949495

tan(x) = 1.98

csc(x) = 1.123595505618

sec(x) = 2.2247191011236

cot(x) = 0.50505050505051

Answer:

76/15 or 5 1/15

Step-by-step explanation:

2/5=6/15

5/3=25/15

9/3=45/15

6/15+25/15+45/15=76/15 or 5 1/15

Answer:

Y=KX so its 10=K2

Step-by-step explanation:

Plug in the Number OR K=y/x

Answer:

Step-by-step explanation:

3 small tiers + 5 medium tiers= 291 guests

1 small tier+5 medium tiers=247 guests

The 2 cakes have the same medium tiers(5 medium tiers). If we subtract  291-247 we will have the number of guest that  2 small tiers serve.

291-247= 44 guests serve per 2 small tiers

44:2=22 guests serve per one small tier.

So if we subtrack the number of guest that one small tier one the cake that has only one small tier we will obtain the number of guests that the 5 medium tiers serve.

247-22=225 guests serve per 5 medium tiers

225:5= 45 guests per 1 mediem tier.

Sorry, because english isn't my mother tongue.

Step-by-step explanation:

Given

radius (r) = 9 cm

Area of the circle (A)

= πr²

= 3.14 * 9²

= 3.14 * 81

= 254.34 cm²

Answer:

1) cpk < 1.33, therefore it is not capable

b) cpk = 1.33, therefore it is capable

c) cpk < 1.33, therefore it is not capable

2) Cpk can never be greater than the Cp, but can be equal to it

Step-by-step explanation:

Upper limit (USL) = 47 minutes and Lower limit (LSL) = 30 minutes

1)

a) mean (μ) = 37 minutes, standard deviation (σ) = 3 minutes

\(cpk=min(\frac{USL-\mu}{3\sigma}, \frac{\mu - LSL}{3\sigma})=min(\frac{47-37}{3*3},\frac{37-30}{3*3} )=min(1.11,0.78)=0.78\)

\(cp=(\frac{USL-LSL}{6\sigma})=\frac{47-30}{6*3}=0.94\)

cpk < 1.33, therefore it is not capable

b) mean (μ) = 38 minutes, standard deviation (σ) = 2 minutes

\(cpk=min(\frac{USL-\mu}{3\sigma}, \frac{\mu - LSL}{3\sigma})=min(\frac{47-38}{3*2},\frac{38-30}{3*2} )=min(1.5,1.33)=1.33\)

\(cp=(\frac{USL-LSL}{6\sigma})=\frac{47-30}{6*2}=1.42\)

cpk = 1.33, therefore it is capable

c) a) mean (μ) = 38.5 minutes, standard deviation (σ) = 2.9 minutes

\(cpk=min(\frac{USL-\mu}{3\sigma}, \frac{\mu - LSL}{3\sigma})=min(\frac{47-38.5}{3*2.9},\frac{38.5-30}{3*2.9} )=min(0.98,0.98)=0.98\)

\(cp=(\frac{USL-LSL}{6\sigma})=\frac{47-30}{6*2.9}=0.98\)

cpk < 1.33, therefore it is not capable

2) Cpk can never be greater than the Cp, but can be equal to it

Answer:

35

Step-by-step explanation:

This shape has 6 sides.

Sum of interior angles of a 6 sided shape is 720.

117 + 4x - 5 + 4x - 3 + 118

+ 3x + 6 + 3x - 3 = 720

4x + 4x + 3x + 3x

+ 117 + 118 + 6 - 5 - 3 - 3 = 720

14x + 241 - 11 = 720

14x + 230 = 720

14x = 720 - 230

14x = 490

x = 490/14

x = 35

Answer:

\(\begin{aligned}SA &= 7.125\pi \text{ in}^2\\& \approx 22.4 \text{ in}^2 \end{aligned}\)

Step-by-step explanation:

We can find the Surface Area of the can by adding the areas of each of its parts:

\(SA = 2( A_{\text{base}}) + A_\text{side}\)

First, we can calculate the area of the circular base:

\(A_{\text{circle}} = \pi r^2\)

\(A_{\text{base}} = \pi (0.75 \text{ in})^2\)

\(A_{\text{base}} = 0.5625\pi \text{ in}^2\)

Next, we can calculate the area of the rectangular side:

\(A_\text{rect} = l \cdot w\)

\(A_\text{side} = (4\text{ in}) \cdot C_\text{base}\)

Since the width of the side is the circumference of the base, we need to calculate that first.

\(C_\text{circle} = 2 \pi r\)

\(C_\text{base} = 2 \pi (0.75 \text{ in})\)

\(C_\text{base} = 1.5 \pi \text{ in}\)

Now, we can plug that back into the equation for the area of the side:

\(A_\text{side} = (4\text{ in}) (1.5\pi \text{ in})\)

\(A_\text{side} = 6\pi \text{ in}^2\)

Finally, we can solve for the surface area of the can by adding the area of each of its parts.

\(SA = 2( A_{\text{base}}) + A_\text{side}\)

\(SA = 2(0.5625\pi \text{ in}^2) + 6\pi \text{ in}^2\)

\(\boxed{SA = 7.125\pi \text{ in}^2}\)

\(\boxed{SA \approx 22.4 \text{ in}^2}\)

Answer:

$32.32

Step-by-step explanation:

0.76p+1.40g where p = pounds of pears and g = pounds of grapes

0.76(2)+1.4(22)

32.32

Answer:

99.7% of IQ scores are between 46 and 148.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 97, standard deviation of 17.

What percentage of IQ scores are between 46 and 148?

97 - 3*17 = 46

97 + 3*17 = 148

Within 3 standard deviations of the mean, so:

99.7% of IQ scores are between 46 and 148.

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer: A- she can not mow 1 and 1/4 in an hour.

Step-by-step explanation:

set up a ratio

\(\frac{.5}{25} =\frac{x}{60}\) (1/2 acre is 25 minutes, x acre in 60 minutes)

cross multiply to solve

.5(60)=25x

30=25x

1.2=x- she can mow 1.2 acres in 60 minutes, 1.2= \(1\frac{1}{5}\)

Result is x = - 2 and y = 1.6 so the ordered pair ( -2, 1.6) is the solution of the system equations.

It is a mathematical expression that shows the equalities between two or more terms. There are different types of equation such as linear equation, quadratic equation, exponential equation and so on.

Given, the two systems of equation.

y = - 0.5x + 0.6

and y = x + 3³₅

rewrite the second equation and get y = x +18/5

                                                       5y = 5x + 18 ....  equation 2

                   the first equation is multiplied by 5 and we get.

                                               5y = - 2.5 x + 3

                                               5y = 5x +18

                                            -          -     -

                        we will now solve the above equations by addition method.

                                       0 = - 7.5 x - 15

                                    7.5 x = - 15

                                     x = -2

        putting the value of x in any equation, we get the value of y = 1.6

    x = - 2 and y =1.6

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Answer:

=4/3(π)*64

=268.08

Step-by-step explanation:

Answer:

(x + i) (x - i)

Step-by-step explanation:

The expression x^2 + 1 is a sum of squares, which means that it cannot be factored using real numbers. However, it can be factored using complex numbers.

To factor x^2 + 1, we can use the fact that i^2 = -1, where i is the imaginary unit.

We can rewrite x^2 + 1 as:

x^2 + 1 = x^2 - (-1)

Now, we can use the difference of squares formula to factor x^2 - (-1):

x^2 - (-1) = (x + i)(x - i)

Therefore, the factored form of x^2 + 1 is:

(x + i)(x - i)

Answer:

y=68

Step-by-step explanation:

Answer:

y = 68

Step-by-step explanation:

We have the expression y over -2 = -34 and are asked to solve or y.

To solve, we need to isolate for y :

y/-2 = -34

Multiply -2 from both sides :

\(\frac{y}{-2} *-2=-34*-2\)

\(y = 68\)

Answer:

0.4435

Step-by-step explanation:

Given that :

X is normally distributed:

mean(m) = 1,000

standard deviation (s) = 250

probability that X lies between 800 and 1,100?

Using the relation :

X = 800

Zscore = (x - m) / s

Zscore = (800 - 1000) / 250

Zscore = - 200 / 250

Zscore = - 0.8

P(Z ≤ - 0.8) = 0.2119

X = 1100

Zscore = (x - m) / s

Zscore = (1100 - 1000) / 250

Zscore = 100 / 250

Zscore = 0.4

P(Z ≤ 0.4) = 0.6554

P(Z ≤ 0.4) - P(Z ≤ - 0.8)

0.6554 - 0.2119

= 0.4435

Step-by-step explanation:

The ONE  solution to this system of two lines is the point where the two lines cross   at   (1,4)

The 9/32 of whole pizza Troy had for breakfast. The whole bag of coffee weighs 10/7 pounds

A fraction is defined as a part of a whole quantity.

1. Leftover pizza = 3/8

Pizza used as breakfast = 3/4 of left-over pizza

= 3/4 of 3/8

The of is calculated by the use of multiplication

The fractions are multiplied as follows:

Pizza used as breakfast = 3/4 * 3/8

= 3 * 3 / 4 * 8

= 9/32

2. 3/5 of bag of coffee weighs = 6/7 pounds

1 bag of coffee weighs = 6/7 ÷ 3/5

The fractions are divided as follows:

Thus, = 6/7 * 5/3

= 6 * 5 / 7 * 3

= 30/21

= 10/7 pounds

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Answer:

$5.04

Step-by-step explanation:

We Know

A stock selling for $56 per share pays a 9% dividend.

Find the dividend per share.

We Take

9% = 0.09

56 · 0.09 = $5.04

So, the dividend per share is $5.04

Using linear approximation, the expression √125.2 can be approximated as approximately 10.02.

To find the equation of the tangent line to the function f(x) = √x at x = 125, determine the slope (m) and the y-intercept (b) of the tangent line.

First, find the slope (m) using the derivative of the function f(x) = √x:

f'(x) = 1 / (2√x)

Evaluate the derivative at x = 125:

f'(125) = 1 / (2√125) = 1 / (2 × 5) = 1/10

Now, find the y-coordinate of the point on the function f(x) at x = 125:

f(125) = √125 = 5

So, the tangent line at x = 125 passes through the point (125, 5) and has a slope of 1/10.

Using the point-slope form of a linear equation, the equation of the tangent line can be written as:

y - 5 = (1/10)(x - 125)

To simplify, multiply through by 10:

10y - 50 = x - 125

Rearranging the equation, express it in the form y = mx + b:

y = (1/10)x - 75/10 + 5

Simplifying further:

y = (1/10)x - 75/10 + 50/10

Combining the terms:

y = (1/10)x - 25/10

Therefore, the equation of the tangent line to f(x) = √x at x = 125 is y = (1/10)x - 25/10.

Now, use this tangent line to approximate the value of √125.2:

Substitute x = 125.2 into the equation:

y = (1/10)(125.2) - 25/10

y = 12.52 - 2.5

y ≈ 10.02

So, using linear approximation, approximate √125.2 as approximately 10.02.

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As per questions,

(3m+7)(9m²- 21m+49)

Expanding to a³±b³ formula,

→ 3m³ + 7³

→ 3³×m³ + 7³

→ 27m³ + 343

(x²-2x)(x⁴-2x³+4x²)

→ x²(x⁴-2x³+4x²)-2x(x⁴-2x³+4x²)

→ x²x⁴-2x²x³+4x²x²-2x×x⁴+2x×2x³-8x×x²

→ x⁶-2x⁵+4x⁴-2x⁵+4x⁴-8x³

(2y²-7y)(4y⁴+ 14y³+49y²)

→ 2y²×4y⁴ + 2y²×14y³ + 2y²×49y² -7y×14y³ -7y×49y²

→ 8y⁶+28y⁵+98y⁴-28y⁵-98y⁴

As \( {y}^{a} \times {y}^{b} = {y}^{a + b} \)

→ 8y⁶-343y³

Okay, here we have this:

Let's take the packages as (x), so we obtain:

Melissa Starts with: 4x+8 ballons (1)

Her brother gave her: 3x+20 ballons (2)

And as she now has twice the number of balloons she started with. This mean that:

2(4x+8)=(3x+20)+(4x+8)

Let's clear x in this equation:

8x+16=3x+20+4x+8

8x+16=7x+28

8x-7x=28-16

x=12

Finally we obtain that in a package are 12 ballons, now let's calculate How many balloons did Melisa start with?:

Remember that Melissa Starts with: 4x+8 ballons, so replacing x with 12, we obtain that Melissa Starts with: 4(12)+8=48+8=56.

Finally we obtain that Melissa Starts with 56 ballons.