Evaluate.


−3 1/8 + 4 (5.6 + 3/4)


Enter your answer as a decimal or a mixed number in simplest form.








HURRY PLAESE!:)

1. In the context of spacetime, the locus of points equidistant from the origin of a spacetime plane is a hyperbola.

In Euclidean space, the distance between two points is given by the Pythagorean theorem, which only considers spatial dimensions. However, in spacetime, the concept of distance is extended to include both spatial and temporal components. The spacetime distance, also known as the interval, is given by the Minkowski metric:

ds^2 = -c^2*dt^2 + dx^2 + dy^2 + dz^2,

where c is the speed of light, dt represents the temporal component, and dx, dy, dz represent the spatial components.

To determine the locus of points equidistant from the origin, we need to find the set of points where the spacetime interval from the origin is constant. Setting ds^2 equal to a constant value, say k^2, we have:

-c^2*dt^2 + dx^2 + dy^2 + dz^2 = k^2.

If we focus on a spacetime plane where dy = dz = 0, the equation simplifies to:

-c^2*dt^2 + dx^2 = k^2.

This equation represents a hyperbola in the spacetime plane. It differs from a circle in Euclidean space due to the presence of the negative sign in front of the temporal component, which introduces a difference in the geometry.

Therefore, the locus of points equidistant from the origin in a spacetime plane is a hyperbola.

(Note: The explanation provided assumes a flat spacetime geometry described by the Minkowski metric. In the case of a curved spacetime, such as that described by general relativity, the shape of the locus of equidistant points would be more complex and depend on the specific curvature of spacetime.)

To know more about equidistant, refer here:

https://brainly.com/question/29886221#

#SPJ11

Answer:

254.5

Step-by-step explanation:

area of circle = pi (3.142) x 9squared

answer 254.5 or 81 pi

Answer:

To find the cost per yard, divide the cost by the amount:

p: 6.25 / 6.5 = 0.96  -->  The cost per yard is $0.96

r: 3 /4 = 0.75  -->  The cost per yard is $0.75

b: 8.1 /8.5 = 0.95  -->  The cost per yard is $0.95

s: 7.2 / 6 = 1.2  --> The cost per yard is $1.20

In order from cheapest to most expensive:

Red

Brown

Purple

Silver

The mercury in the thermometer was rising at the rate of 7.5°C/second.

We know that the thermometer took 18 seconds to rise from -35°C to 100°C. Let's find the average rate of temperature change over this time interval:

Average rate of temperature change = (change in temperature) / (time interval)

= (100°C - (-35°C)) / (18 seconds)

= 135°C / 18 seconds

= 7.5°C/second

This shows that the average rate of temperature change over the entire time interval was 7.5°C/second.

Since the thermometer was continuously rising in temperature, there must have been some point during this interval where the rate of temperature change was exactly 7.5°C/second. This follows from the intermediate value theorem, which states that if a function is continuous over an interval and takes on two different values at the endpoints of the interval, then it must take on every value in between at some point within the interval.

Therefore, we can conclude that somewhere along the way, the mercury in the thermometer was rising at the rate of 7.5°C/second.

Learn more about mercury

brainly.com/question/4025230

#SPJ11

Answer:

36 possible outcomes

Step-by-step explanation:

In order to calculate the total number of possible outcomes, you need to multiply the number of options in each category with one another. For example, the categories have the following number of possible choices...

Games: 3 choices

Food: 3 choices

Movies: 4 choices

Now we simply multiply these three values together to get the total number of possible party outcomes.

3 * 3 * 4 = 36 possible outcomes

Answer:41

Step-by-step explanation:

Answer:

2,444,444,442

Step-by-step explanation:

Answer:

v = m/D

Step-by-step explanation:

D =m/v

Multiply each side by v

Dv =m/v *v

Dv = m

Divide each side by D

Dv/ D = m/D

v = m/D

The future value that Shawn will have in the bank after 5 years of investing $1,000 at a rate of 3% compounded quarterly is $1,161.18.

The equation that represents the situation is B) A = 1,000 (1.0075)⁴ˣ⁵

The future value describes the compounded present value at an interest rate.

The future value can be determined using the above FV formula or equation or an online finance calculator as follows:

N (# of periods) = 20 quarters (5 years x 4)

I/Y (Interest per year) = 3%

PV (Present Value) = $1,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $1,161.18

Total Interest = $161.18

Learn more about the future value at https://brainly.com/question/24703884.

#SPJ1

So the answer is 1.3 after rounding to 10.

The geometric series is convergent and the value is 16.

Recall that the sum of an infinite geometric series, S, given first term, t_1, and common ratio, r, is given by:

S = t_1/(1 - r)

Note that:

3 = (4)(3/4)

9/4 = (3)(3/4)

27/16 = (9/4)(3/4)

So this a geometric series with t_1 = 4 and r = 3/4. Therefore:

4 + 3 + 9/4 + 27/16 + ... = 4/(1 - 3/4) = 4/(1/4) = 16

The correct option is 16.

Learn more about geometric series on:

https://brainly.com/question/24643676

#SPJ4

Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum

4+3+ 9/4 +27/16 +???

choices are

1. 3/4

2. 12

3. 4

4. divergent

5. 16

Answer:

Step-by-step explanation:

Multiply by x^2 on both sides

9x^2+27x+8=0

Factor.

The answers are -1/3, -8/3

The probability of getting all 7 answers correct is 0.00128%..

(a) To determine the number of possible answer sequences for the seven multiple-choice questions, each with five possible answers, we need to calculate the permutations.

Since there are 5 choices for each of the 7 questions, you will use the multiplication principle:
5 (choices for Q1) * 5 (choices for Q2) * ... * 5 (choices for Q7)

This can be simplified as:
5^7 = 78,125

So, there are 78,125 possible answer sequences for the seven questions.

(b) To find the probability of getting all seven answers correct when guessing, we need to consider that there is only one correct answer sequence out of the total possible sequences. The probability of guessing correctly can be calculated as follows:

Probability = (Number of correct sequences) / (Total number of sequences)

In this case, there is only one correct sequence, and we found there are 78,125 total sequences.

Probability = 1 / 78,125 = 0.0000128

So, the probability of getting all seven answers correct when guessing is approximately 0.0000128 or 0.00128%.

Learn more about probability : https://brainly.com/question/13604758

#SPJ11

The rate at which the distance between the man and the plane is increasing when the plane passes over the radio tower is approximately 519.92 ft/sec.

Let's denote the distance between the man and the plane as x and the time elapsed since the plane passes over the radio tower as t. We are given that the plane is flying horizontally away from the man, so the height of the plane remains constant at 5000 ft.

We can set up a proportion based on the similar triangles formed by the man, the plane, and the tower:

x / 12000 = 5000 / t

Cross-multiplying, we have:

xt = 12000 * 5000

xt = 60,000,000

Now, we can differentiate both sides of the equation with respect to time t:

d(xt)/dt = d(60,000,000)/dt

dx/dt * t + x * dt/dt = 0

dx/dt * t + x * 1 = 0

dx/dt = -x/t

We are given that the plane is flying at a rate of 520 ft/sec, so dx/dt = 520 ft/sec.

At the moment the plane passes over the radio tower, the distance x is 12000 ft. We can substitute these values into the equation to find the rate at which the distance between the man and the plane is increasing:

520 = -12000 / t

Solving for t:

t = -12000 / 520 = -23.08 sec (approximately)

Since time cannot be negative, we discard the negative value and take the positive value of t.

Now, we can substitute the value of t into the equation to find dx/dt:

dx/dt = -x / t = -12000 / (-23.08) = 519.92 ft/sec (approximately)

Therefore, the rate at which the distance between the man and the plane is increasing when the plane passes over the radio tower is approximately 519.92 ft/sec.

Learn more about distance from

https://brainly.com/question/30395212

#SPJ11

The complete table will be;

For Kristy;

Distance (miles) = 6   12   18   24   30

Time (min) =       40  80  120  160  200

For Jax;

Distance (miles) =  4    8    12    16    20

Time (min) =        30   60   90  120   150

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

Kristy rides 6 miles on her bicycle in 40 minutes.

Jax rides 4 miles on his bicycle in 30 minutes.

Now,

By the definition of ratio, we get;

For Kristy;

⇒ 6 : 40 = x : 80

⇒ 6 / 40 = x / 80

⇒ x = 12

And, 6 : 40 = x : 120

6 / 40 = x / 120

x = 18

And, 6 : 40 = x : 200

6 / 40 = x / 200

x = 30

For Jax;

4 : 30 = 8 : x

4 / 30 = 8/x

x = 60

And, 4 : 30 = x : 90

4 / 30 = x / 90

x = 12

And, 4 : 30 = x : 120

4 / 30 = x / 120

x = 16

And, 4 : 30 = x : 150

4 / 30 = x / 150

x = 20

Thus, The complete table will be;

For Kristy;

Distance (miles) = 6   12   18   24   30

Time (min) =       40  80  120  160  200

For Jax;

Distance (miles) =  4    8    12    16    20

Time (min) =        30   60   90  120   150

Learn more about the ratio visit:

brainly.com/question/25927869

#SPJ1

a) The zero rates for the five maturities are: 1 year is 2.01%, 2 years is 2.48%, 3 years is 2.77%, 4 years is 1.73%, and 5 years is 4.32%.

b) The price of the security is $128.31.

a) To find the zero rates for all 5 maturities, we can use the formula for the present value of a bond:

PV = C / \((1+r)^n\)

where PV is the present value,

C is the coupon payment,

r is the zero rate, and

n is the number of years to maturity.

We can solve for r by rearranging the formula:

r = \((C/PV)^{(1/n) }\)- 1

Using the bond data given in the question, we can calculate the zero rates for each maturity as follows:

For the 1-year bond, PV = 98 and C = 0, so r = 2.01%.

For the 2-year bond, PV = 101, C = 2.48, and n = 2, so r = 2.48%.

For the 3-year bond, PV = 103, C = 2.91, and n = 3, so r = 2.77%.

For the 4-year bond, PV = 101, C = 2, and n = 4, so r = 1.73%.

For the 5-year bond, PV = 103, C = 5, and n = 5, so r = 4.32%.

Alternatively, we can use linear algebra to find the zero rates. We can write the present value equation in matrix form:

PV = A × x

where A is a matrix of coefficients, x is a vector of unknowns (the zero rates), and PV is a vector of present values.

To solve for x, we can use the equation:

x = (\(A^{-1}\)) x PV

where (\(A^{-1}\)) is the inverse of matrix A.

Using this method, we can solve for the zero rates as follows:

[2.01% ]

[2.48% ]

[2.77% ] = x

[1.73% ]

[4.32% ]

PV = \(A^{-1}\) x  [98]

                   [101]

                   [103]

                   [101]

                   [103]

PV =   [-0.0201]

          [ 0.0248]

          [ 0.0277]

          [-0.0173]

          [ 0.0432]

b) To find the price of the security which pays cash flows of $10 in one year, $25 in two years, and $100 in four years, we can use the formula for the present value of a series of cash flows:

PV = \(C1/(1+r)^1 + C2/(1+r)^2 + C3/(1+r)^4\)

where PV is the present value, C1, C2, and C3 are the cash flows, r is the zero rate, and the exponents correspond to the number of years until each cash flow is received.

Using the zero rates calculated in part (a), we can calculate the present value of each cash flow:

PV1 = $10 /(1+2.01 % \()^1\) = $9.80

PV2 = $25/(1+2.48%\()^2\) = $22.15

PV3 = $100/(1+1.73%\()^4\) = $81.36

Then, the price of the security is the sum of the present values:

PV = $9.80 + $22.15 + $81.36 = $128.31

Therefore, the price of the security is $128.31.

For similar question on price of the security

https://brainly.com/question/29245385

#SPJ11

Answer:

(-0.5, 0)

Step-by-step explanation:

The easiest way to do this question is by going to the left 0.5 and seeing how far you need to go up or down.

To answer the questions about group G with order 77: (1) Show that there are normal subgroups H and K of the group with order 7 and 11, respectively.

Since the order of G is 77, by the Sylow theorems, there exist Sylow 7-subgroups and Sylow 11-subgroups in G.

Let H be a Sylow 7-subgroup of G and K be a Sylow 11-subgroup of G. Since Sylow subgroups are conjugate to each other, H and K are both normal subgroups of G.

(2) Show that HK={hk|h∈H, k∈K} is an Abelian subgroup of group G.

Since H and K are normal subgroups of G, we have that HK is a subgroup of G. To show that HK is an Abelian subgroup, we need to prove that for any elements hk and h'k' in HK, their product is commutative.

Let hk and h'k' be arbitrary elements in HK. Since H and K are normal subgroups, we have that h'khk' = kh'h. Thus, the product hk h'k' is equal to kh'h, which implies that HK is an Abelian subgroup.

(3) Show that HK=G.

To show that HK=G, we need to prove that every element g in G can be expressed as a product hk, where h∈H and k∈K.

Since H and K are normal subgroups of G, their intersection H∩K is also a normal subgroup of G. By Lagrange's theorem, the order of H∩K divides both the order of H (which is 7) and the order of K (which is 11). Since 7 and 11 are coprime, the only possible order for the intersection is 1.

Thus, H∩K={e}, where e is the identity element of G. This implies that every element g in G can be uniquely expressed as g = hk, where h∈H and k∈K. Therefore, HK=G.

(4) Show that G is a cyclic group.

Since HK=G, and HK is an Abelian subgroup, we have that G is an Abelian group. Every Abelian group of prime order is cyclic. Since the order of G is 77, which is not prime, G cannot be cyclic.

Therefore, G is not a cyclic group.

Learn more about cyclic group here -: brainly.com/question/30697028

#SPJ11

To answer the questions about group G with order 77: (1) Show that there are normal subgroups H and K of the group with order 7 and 11, respectively.

Since the order of G is 77, by the Sylow theorems, there exist Sylow 7-subgroups and Sylow 11-subgroups in G.

Let H be a Sylow 7-subgroup of G and K be a Sylow 11-subgroup of G. Since Sylow subgroups are conjugate to each other, H and K are both normal subgroups of G.

(2) Show that HK={hk|h∈H, k∈K} is an Abelian subgroup of group G.

Since H and K are normal subgroups of G, we have that HK is a subgroup of G. To show that HK is an Abelian subgroup, we need to prove that for any elements hk and h'k' in HK, their product is commutative.

Let hk and h'k' be arbitrary elements in HK. Since H and K are normal subgroups, we have that h'khk' = kh'h. Thus, the product hk h'k' is equal to kh'h, which implies that HK is an Abelian subgroup.

(3) Show that HK=G.

To show that HK=G, we need to prove that every element g in G can be expressed as a product hk, where h∈H and k∈K.

Since H and K are normal subgroups of G, their intersection H∩K is also a normal subgroup of G. By Lagrange's theorem, the order of H∩K divides both the order of H (which is 7) and the order of K (which is 11). Since 7 and 11 are coprime, the only possible order for the intersection is 1.

Thus, H∩K={e}, where e is the identity element of G. This implies that every element g in G can be uniquely expressed as g = hk, where h∈H and k∈K. Therefore, HK=G.

(4) Show that G is a cyclic group.

Since HK=G, and HK is an Abelian subgroup, we have that G is an Abelian group. Every Abelian group of prime order is cyclic. Since the order of G is 77, which is not prime, G cannot be cyclic.

Therefore, G is not a cyclic group.

Learn more about cyclic group here -: brainly.com/question/30697028

#SPJ11

Answer: C

Step-by-step explanation:

The value of k in the given arithmetic sequence is equal to 2

An arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

The nth term of an arithmetic sequence is derived using; aₙ = a + (n - 1)d where a is the first term and d the common difference

Given the first term as 3k + 1, we have that;

a₁ = a + (1 - 1) d = 3k + 1

a₁ = a = 3k + 1

for the second term k, substituting 3k + 1 for a;

a₂ = 3k + 1 +(2 - 1)d = k

3k - k = -1 - d

2k = -1 - d...(1)

for the third term -3; substituting 3k + 1 for a;

a₃ = 3k + 1 +(3 - 1)d = -3

3k + 1 + 2d = -3

3k = -4 - 2d ...(2)

using elimination method to remove d, we multiply equation (1) by 2 to get;

4k = -2 - 2d...(3)

we subtract equation (2) from (3);

4k - 3k = -2 - 2d - (-4 - 2d)

k = -2 -2d + 4 + 2d {2d is eliminated}

k = 4 - 2

k = 2

Therefore, the value of k for the arithmetic sequence is equal to 2.

Know more about arithmetic sequence here:https://brainly.com/question/7882626

#SPJ1

Step-by-step explanation:

remember answer 2.

3. I answered already in my other answer.

remember, the diagonals split the angles in half.

so,

d1 = 50°

4. the tangent ratio is sine/cosine (that is the definition of tangent).

c2 = 40°

sin(40) × 5 = OD (half of BD)

cos(40) × 5 = OC

the tangent ratio is

(sin(40) × 5) / (cos(40) × 5) = sin(40)/cos(40) = OD/OC =

≈ 3.2 / 3.8 = 1.6/1.9 =

= 0.842105263...

control : tan(40) = 0.839099631... close enough (we used round numbers with 3 2 and 3.8 - see again 1. and 2.).

part a: In order to determine and interpret the least squares regression line (LSRL), you need to have a set of data points and perform regression analysis.

The LSRL is a line that best fits the data points and represents the relationship between two variables. It is commonly used to predict or estimate values based on the given data.

To determine the LSRL, you will need to calculate the slope and the y-intercept of the line. The slope (m) represents the rate of change of the dependent variable for a one-unit increase in the independent variable.

The y-intercept (b) represents the value of the dependent variable when the independent variable is equal to zero.

Once you have determined the LSRL equation in the form of y = mx + b, you can interpret it.

For example, if the LSRL equation is y = 2x + 3, it means that for every one unit increase in the independent variable, the dependent variable is expected to increase by 2 units.

The y-intercept of 3 indicates that when the independent variable is zero, the dependent variable is expected to be 3.

part b: To predict the percent of children living in single-parent homes in 1991 for state 14, we can use the LSRL equation.

First, substitute the known value of the independent variable (1985) into the equation and solve for the dependent variable (percent of children living in single-parent homes). Let's say the LSRL equation is y = 0.5x + 10.

In this case, x represents the year and y represents the percent of children living in single-parent homes. So, when x is 1985, we can substitute it into the equation:

y = 0.5 * 1985 + 10
y = 993.5 + 10
y ≈ 1003.5

Therefore, the predicted percent of children living in single-parent homes in 1991 for state 14 would be approximately 1003.5 percent.

part c: To calculate the residual for state 14, we need to compare the observed percent of children living in single-parent homes in 1991 (21.5 percent) with the predicted value we obtained in part b (1003.5 percent).

The residual is calculated by subtracting the predicted value from the observed value:

Residual = Observed value - Predicted value
Residual = 21.5 - 1003.5
Residual ≈ -982

The negative value of the residual indicates that the observed value is significantly lower than the predicted value.

In other words, the actual percent of children living in single-parent homes in state 14 in 1991 is much lower than what was predicted based on the LSRL equation and the data from 1985.



To know more about LSRL refer here:

https://brainly.com/question/33424090

#SPJ11

All of the following properties listed in the question are properties of indifference curves.

The correct option is option d. None of the above.

A) Higher indifference curves are preferred to lower ones: Indifference curves indicate a consumer's preferences for two goods and illustrate their trade-off between them. The higher the indifference curve, the more of the two goods a consumer is willing to give up for one another.
B) Indifference curves do not cross: Indifference curves are not able to cross because it would imply that the consumer would be indifferent between two combinations of two goods that were previously not equal.
C) Indifference curves are bowed outward: Indifference curves are bowed outward to indicate that, as a consumer's available amount of one good increases, they are willing to give up less of the other good to maintain their desired level of satisfaction.
For more such questions on indifference curves, click on:

https://brainly.com/question/30002084

#SPJ11

Indifference curves represent combinations of two goods that give a consumer the same amount of satisfaction. They are used to analyze consumer behavior in microeconomics.Indifference curves have several characteristics, including:Higher indifference curves are preferred to lower ones: This is a property of indifference curves. When consumers move from a lower indifference curve to a higher one, they obtain a higher level of satisfaction. Indifference curves do not cross: Another property of indifference curves is that they do not intersect. If they intersect, it would imply that the same combination of two goods would give the consumer different levels of satisfaction, which is not possible.Indifference curves are bowed outward: The third property of indifference curves is that they are bowed outward. This means that the slope of the curve is negative, and it gets flatter as we move down the curve from left to right. This property is due to the diminishing marginal rate of substitution. At higher levels of consumption of one good, consumers are willing to give up less of the other good to maintain the same level of satisfaction as they did at lower levels of consumption of that good.None of the above: All of the properties mentioned above are true for indifference curves. Therefore, the correct answer is (d) None of the above.

Answer:

90.75 cm^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 ( b1+b2) *h

where b1 and b2 are the lengths of the bases and h is the height

A = 1/2(8.5+ 15.7) * 7.5

1/2 (24.2) 7.5

90.75 cm^2

The unit rate is 120 words per minute and 185 words per minute

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

a) For the first graph, using the points (3, 360) and (2, 240)

Unit rate = Slope = (240 - 360) / (2 - 3) = 120 words per minute

a) For the second graph, using the points (0, 0) and (1, 185)

Unit rate = Slope = (185 - 0) / (1 - 0) = 185 words per minute

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The standard error of the sample mean is approximately 8.9 pounds.

What is standard error of the sample mean?

Simple division of the standard deviation by the square root of the sample size yields the SEM. By evaluating the sample-to-sample variability of the sample means, standard error determines the accuracy of a sample mean.

To find the standard error of the sample mean, we need to first find the sample mean weight of the students. To do this, we add up the weights of all the students and divide by the number of students:

(128 + 193 + 166 + 147 + 202 + 183 + 181 + 158) / 8 = 171.5

Next, we need to find the variance of the sample. The variance is a measure of the spread of the data around the mean, and is calculated as follows:

       \(variance = ((weight - mean)^2) / (n-1)\)

where weight is the weight of each student, mean is the sample mean weight, and n is the number of students.

Plugging in the values from our data, we get:

variance = (128 - 171.5)^2 + (193 - 171.5)^2 + (166 - 171.5)^2 + (147 - 171.5)^2 + (202 - 171.5)^2 + (183 - 171.5)^2 + (181 - 171.5)^2 + (158 - 171.5)^2 / 7

= 1096.5

Finally, we can find the standard error of the sample mean by taking the square root of the variance and dividing by the square root of the number of students:

                \(standard\ error = \sqrt{(variance / n)} \\\\= \sqrt{1096.5 / 8 )\\\\=8.9\)

So, The standard error of the sample mean is approximately 8.9 pounds.

To know more about standard error of the sample mean visit,

https://brainly.com/question/14467769

#SPJ4

Answer:

The number of clay flower pots = x = 19

The number of ceramic flower pots = y = 16

Step-by-step explanation:

Let

The number of clay flower pots = x

The number of ceramic flower pots = y

Tara bought 35 flower pots

= x + y = 35

x = 35 - y

The gardening store sells clay flower pots, which hold 2 litres of dirt, and ceramic flower pots, which hold 7 litres. Tara bought 35 flower pots, which will hold a total of 150 litres of dirt.

Hence:

2x + 7y = 150.... Equation 2

Substitute 35 - y for x in Equation 2

2 (35 - y) + 7y = 150

70 - 2y + 7y = 150

-2y + 7y = 150 - 70

5y = 80

y = 80/5

y = 16 flower pots

x = 35 - y

x = 35 - 16

x = 19 flower pots

The number of clay flower pots = x = 19

The number of ceramic flower pots = y = 16

Answer:

The number of clay flower pots = 19

The number of ceramic flower pots = 16

Step-by-step explanation:

Answer:

a=0

Step-by-step explanation:

a+5=-5a+5

(add 5a to both sides)

-4a+5=5

(subtract 5 from both sides)

-4a=0

(divide both sides by -4)

a=0

The circumference of a circle with a diameter of 36 inches is approximately 113.1 inches.

The circumference of a circle can be found using the formula: C = πd, where C represents the circumference and d represents the diameter. In this case, the given diameter is 36 inches.

Using the value of π (pi) as approximately 3.14159, we can substitute the values into the formula:

C = πd

C = 3.14159 * 36

C ≈ 113.09724

Rounding to the nearest tenth, the circumference of the 36-inch diameter circle is approximately 113.1 inches.

The circumference of a circle with a diameter of 36 inches is approximately 113.1 inches.

To know more about Circle, visit

https://brainly.com/question/28162977

#SPJ11

Answer:

72.5

Step-by-step explanation:

5x5+2x+10=180

1.PEMDAS

2.5x5=25

3.25+10=35

4.Try to get everything away from X so move 35 to other side by subtracting since its a positive number and if negative number (ex. -35) u add, 180-35=145

5. and divide 145 by 2 than finally x is alone which comes out to x=72.5