Calculate the distance around a triangle whose sides are :

Answer:

1-10.

Step-by-step explanation:

Answer:

x=145 at 8 minutes

im not sure what tt means but please read my note at the end.

Step-by-step explanation:

if the initial temp is 65 and it increases at a rate of 10 per min the use

65+10(x)

let x be the number of minutes

65+10(8)

65 +80= 145

after 8 minutes the oven will be at 15 degrees. im not sure what tt is suppose to mean, but to find any other solution just plug it into x multiply x by 10 and add it to 65

The correct number in the function f (3) will be;

⇒ f (3) = 2

What is Line segment?

Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.

Given that;

The graph is shown in figure.

Now,

Clearly, By the image of the graph;

At x = 3,

The function is defined as;

⇒ f (3) = 2

Thus, The correct number in the function f (3) will be;

⇒ f (3) = 2

Learn more about the substitution method visit;

https://brainly.com/question/26094713

#SPJ1

Miners excavated 1000 tons of dirt, and they found 8.892 ounces of gold.

Let X stand for the random variable determining how much gold is discovered for every 1,000 tonnes of dirt dug up. After that, we learn that:

X ~ N (12, 3²)

Let K be the required amount of discovered gold. 15% of the time, less than K worth of gold is discovered. Next, we have:

P (X ≤ K) = 0.15

When we transform this into a typical normal variable, we get:

P [Z ≤ (K - 12) / 3] = 0.15

From the common normal tables, we can deduce:

P (Z ≤ -1.036) = 0.15

Comparing the two equations above, we obtain:

(K - 12) / 3 = -1.036

K = 12 - (1.036 * 3) = 12 - 3.108 = 8.892

As a result, 8.892 ounces of gold are needed.

To know more about Probability, refer to this link:

https://brainly.com/question/12629667

#SPJ4

Answer:

Answer is: 8 2/3 but improper is 26/3

The final price of the comic book after it is marked up is $5.79.

Since we have given that

Cost of a comic book including tax = $ 3.99

According to the question, it is given that it is marked up 45%,

=3.99 × (100+45)÷100

=3.99 × 145/100

=399 × 1.45

=5.79

Hence, the final price of the comic book after it is marked up is $5.79.

To learn more about percentages visit:

https://brainly.com/question/11482585

#SPJ4

Using population growth modeling it is concluded that the population of insects after 1 hour will be about 1.05 times.

The method used to calculate the growth and decay of insects or bacteria are called growth and decay modeling.

Let us assume n₀ is the initial population, then the total population n(t) after t time is given by the formula:

n(t) = n₀ [tex]e^{rt}[/tex], where r = the relative rate of growth.

Suppose an initial number of insects is x and after 15 hours it becomes 2x.

2x = x[tex]e^{15r}[/tex]

[tex]e^{15r}[/tex] = 2

Take the log of both sides of the equation

ln [tex]e^{15r}[/tex]= ln 2

15r = ln 2

r = 0.693147/15

Now, population after 1-hour = x [tex]e^{r}[/tex]

= 1.047

≈ 1.05

Hence the population of insects after 1 hour will be about 1.05 times.

To know more about the growth of the population of insects, visit:

https://brainly.com/question/3155351

#SPJ4

The total amount of sugar which contains in 4 grams of sugar = 304 grams.

Amount of sugar fast food smoothie has = 76 gram

amount of sugar a teaspoon of sugar contains = 4 gram

Thus the total amount of sugar which contains in 4 grams of sugar = 4 × 76

this implies  the total amount of sugar which contains in 4 grams of sugar  = 304 grams

In this question we used the unitary method where we multiplied a quantity with a known quantity to find the value of an unknown quantity.

To know more about unitary method you may visit the link which is mentioned below:

https://brainly.com/question/22056199

#SPJ4

The missing angle is as follows:

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles.

In other words, two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal.

Therefore, the triangle ABC is congruent to EDF.

Hence,

∠A = ∠D

∠B = E

∠C = ∠F

Therefore,

m∠C = x

m∠F = 2x - 30

Hence,

m∠C = m∠F

x = 2x - 30

x - 2x = -30

-x = -30

x = 30

m∠C = 30 degrees

learn more on congruent triangle here: https://brainly.com/question/22062407

#SPJ1

The circumcenter is where three perpendicular bisectors intersect and the incenter is where the three angle bisectors intersect.

The circumscribed circle or circumcircle of a polygon in geometry is a circle that passes through each of the polygon's vertices. This circle's circumcenter and circumradius are its centre and radius, respectively.

Construct angle bisectors of each angle of the triangle and their intersection point gives the incenter.

To find Circumcenter:

Construct perpendicular bisectors of all sides of the triangle and their intersection point gives the circumcenter.

Circumcenter Theorem: It states that the vertices of a triangle are equidistant from the circumcenter.

Incenter Theorem: It states that the incenter is equidistant from the sides of the triangle.

To know more about circumcenter follow

https://brainly.com/question/25990856

#SPJ1

The following are the equations which matches the given word problems:

a. Skate rental charges an additional $3 :

y = x+3

b. Jeff is 3 years less than Tony's age:

y=x-3

c. Marie buys balloons for a party that are $3.00 each:

y = 3x

Given, we have the word problems:

a. Skate rental charges an additional $3 :

here, based on the fixed charge, additional charge is taken as $3.

let the total charge be represented as y and

x represent the fixed charge,

hence the equation we get is:

y = x+3

b. Jeff is 3 years less than Tony's age.

let y represent the age of Jeff

and x represent the age of Tony.

hence we frame the equation as:

y = x - 3

c. Marie buys balloons for a party that are $3.00 each:

let the cost of the balloon be represented as y

and x represent the number of balloons Marie wants to buy for $3 each.

hence the equation we frame is:

y = 3x

Hence we get the required equations.

Learn more about Linear equations here:

brainly.com/question/4074386

#SPJ9

The coordinate of image of P is (-6,-4)

What in math is a coordinate?

a pair of numbers that utilize the horizontal and vertical breakups from the two reference axes to define a point's location on a coordinate plane. generally expressed by the x-value and y-value pair (x,y).

P (-2,2)
Translation (x,y)=(x-4,y-6)
x= -2
y= 2
x-4= -6
y-6= -4
Hence the coordinate of image of p is (-6,-4)

Learn more about Coordinate of the image at
https://brainly.com/question/20935031
#SPJ1

The F-test is used in regression analysis to test the hypothesis that all model parameters are zero. It is also used in statistical analysis when comparing statistical models.

Statistical models that have been fitted using the same underlying factors and data set to determine the model with the best fit. That is:

H₀ : B₁ = B₂ = .............  = Bₓ =0

H₁: Bₙ ≠ 0 for at least one j.

The F-test was developed by Ronald A. Fisher (hence F-test) and is a measure of the ratio of variances. The F-statistic is defined as:

F = [tex]\frac{explained variables}{unexplained variables}[/tex]

A general rule of thumb that is often used in regression analysis is that if  

F > 2.5then we can reject the null hypothesis. We would conclude that there is a least one parameter value that is nonzero.

The F-distribution is generally a skewed distribution and also related to a chi-squared distribution. The f distribution is the ratio of X1 random chi-square variable with degrees of freedom ϑ1 and X2 random chi-square variable with degrees of freedom ϑ2. (In other words each of the chi-square random variable has been divided by its degrees of freedom)

The F-distribution is generally a skewed distribution and also related to a chi-squared distribution. The f distribution is the ratio of X1 random chi-square variable with degrees of freedom ϑ1 and X2 random chi-square variable with degrees of freedom ϑ2. (In other words each of the chi-square random variable has been divided by its degrees of freedom)

                        F =[tex]\frac{x_{1}/v_{1} }{x_{2}/v_{2} }[/tex]

Learn more about F-distribution:

https://brainly.com/question/26770623

#SPJ4

The slope is m = 5.

What is slope?

The change in y coordinate relative to the change in x coordinate is referred to as a line's slope in mathematics. The symbols Δy and Δx stand for the net change in the y-coordinate and the net change in the x-coordinate, respectively. where "m" denotes a line's gradient. tanθ then represents the slope of a line.

We have to find the slope of the points given.

First to find the change between each y - value.

16 - 11 = 5

21 - 16 = 5

26 - 21 = 5

31 - 26 = 5

So the change between each y - value is 5.

Now, to find the slope of the points.

Since,

Slope = m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m_1=\frac{16-11}{6-5}= \frac{5}{1} =5\\ m_2=\frac{21-16}{7-6}=\frac{5}{1} =5\\ m_3=\frac{26-21}{8-7}=\frac{5}{1}=5\\m_4=\frac{31-26}{9-8}=\frac{5}{1} =5[/tex]

Hence, the slope of the given points is 5.

To know more about the slope, click on the link

https://brainly.com/question/27212023

#SPJ1

Answer:

The answer is 5

Step-by-step explanation:

Though there is also a bottom number, just put a 1 in the bottom number

a) The Probability density function of given uniform distribution example is

F(x) = 1/3.5 for 8.5 < x< 12

Uniform distribution in Statistics is a type of probability distribution in which all possible outcomes have equally likely chance to occur. It is generally represented by U(x,y) where

x ---> minimum value and y---> maximum value

Probability density function is a probability function which defines the density of continuous random variable lying between specified range

values. It is denoted by f( a<X<b)

Probability density function for uniform distribution is F(x) = 1/(b-a) for a<x<b where a and b are parameters of uniform distribution.

We have following informations,

weigh of mini iPad = 11 ounces or 50% lighter than standard iPad.

Assume that the battery of iPad is uniformly distributed between 8.5 hours to 12 hours.

this implies a = 8.5 , b = 12

F(x) = 1/(12 - 8.5) = 1/3.5 for 8.5<x<12

To learn more about Uniform distribution, refer :

https://brainly.com/question/28984186

#SPJ4

#Complete Qestion :

In October 2012, Apple introduced a much smaller variant of the Apple iPad, known as the iPad Mini. Weighing less than 11 ounces, it was about 50% lighter than the standard iPad. Battery tests for the mini ipad showed that battery life is uniformly distributed between 8.5 and 12 hours. what is the value of 'a'? answer to one decimal. Assume that the battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours.

a) What is the probability that the battery life for an iPad Mini will be 10 hours or less?

Answer:

20

Step-by-step explanation:

do parenthesis first

1/5(3+2+ 5)² =

1/5(10)² =

then exponent

1/5(10)² =

1/5(100) =

20

Answer:

5/12

6/15

10/18

Step-by-step explanation:

Stacey meets Andrew 1.5 hours after she starts travelling at 11:30 AM and Andrew meets Stacey 2 hours after he starts travelling at 11:30 AM.

How to solve this problem?
Stacey and Andrew in the mentioned problem will meet in a time frame only when the both have travelled equal distances in respect to another.

Given, speed at which Andrew was travelling = 12 mi/h
Speed at which Stacey was travelling = 16 mi/h
Let the time taken by Stacey be = t hours
Therefore, the time taken by Andrew = (t + 0.5) hours
When Stacey overtakes Andrew, they must have covered the same distance, therefore:
16t = 12×(t + 0.5) ⇒ 16t = 12t + 6 ⇒ 4t = 6 ⇒ t = 6/4 ⇒ t = 3/2 ⇒ t = 1.5
Therefore, Stacey meets Andrew 1.5 hours after she starts travelling at 11:30 AM and Andrew meets Stacey 2 hours after he starts travelling at 11:30 AM.

To learn more about this, tap on the link below:
https://brainly.com/question/29062652

#SPJ4

The clothing in the store is separated into strata, each of which is a rack of items with comparable prices. An illustration of the use of a stratified random sample is the mean price calculated using the randomly chosen articles of clothing from the strata.

In the random sampling method of sampling, each sample has an equal chance of being chosen. In order to fairly represent the entire population, a sample is chosen at random. From a pool of 250 employees, 25 names could be chosen at random to represent a simple random sample. The sample in this case is random, and the population in this case is the employees since each has an equal chance of being chosen.

To know more about random sample,

https://brainly.com/question/12719656?referrer=searchResults

#SPJ4

Value of  [tex]a^5-\frac{1}{a^5}[/tex] is 31.97.

What do you mean by algebraic expression?

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.

There are 3 main types of algebraic expressions which include:

Monomial Expression

Binomial Expression

Polynomial Expression

An algebraic expression which is having only one term is known as a monomial.

Given expression:

a + 4/a = 4

We need to simplify the above expression and will find the value of a.

[tex]a+\frac{4}{a}=4[/tex]

⇒ [tex]\frac{a^2+4}{a}=4[/tex]

⇒ [tex]a^{2}+4=4a[/tex]

⇒ [tex]a^2-4a+4=0[/tex]

⇒ [tex]a^2-2a-2a+4=0[/tex]

⇒ a(a-2) -2(a-2) = 0

⇒ (a-2)(a-2) = 0

⇒ a = 2

Now, substitute this value of a in expression , [tex]a^5-\frac{1}{a^5}[/tex]

[tex]2^5-\frac{1}{2^5}[/tex]

= 32 - 1/32

= [tex]\frac{1024-1}{32} =1023/32 = 31.97[/tex]

Therefore, value of  [tex]a^5-\frac{1}{a^5}[/tex] is 31.97.

To learn more about the algebraic expression from the given link.

https://brainly.com/question/28036476  

#SPJ1

The area of the shape is 32  square yards

The given consist of one rectangle and a right triangle

The area of the figure = The area of the rectangle + The area of the right triangle

The area of the rectangle = The length × The width

The length of the rectangle = 6 yards

The width of the rectangle = 4 yards

The area of the rectangle = 6×4

= 24 square yards

The area of the triangle = (1/2)bh

The base of the triangle = 9 - 5 = 4 yards

The height = 4 yards

The area = (1/2)× 4 × 4

= 8 square yards

The area of the figure = 24 + 8

= 32 square yards

Hence, the area of the shape is 32  square yards

The complete question is:

What is the area of the shape below?

Learn more about area here

brainly.com/question/27683633

#SPJ1

Answer:

119days

Step-by-step explanation:

1 week= 7 days

take week as w

so 1w=7 or w=7

now 17 weeks=??

17w=??

w=7 so input in above statement:

17(7)=119days

Answer: 119 days

Step-by-step explanation:

       We can set up a dimensional analysis problem to solve.

               [tex]\displaystyle 17 \;\text{weeks}\;(\frac{7\;\text{days}}{1\;\text{week}} )[/tex]

       The units of [tex]\frac{weeks}{weeks}[/tex] cancel out, leaving us with days. Since we are being asked to find days, this will leave us at the right point.

               [tex]\displaystyle \frac{17*7}{1} =119\;\text{days}[/tex]

Answer:

------------------------------------

Given the equation x² + y² + 4x - 8y + 11 = 0, the center of the circle is (-2, 4).

The standard form of the equation of circle is given by

(x - h)² + (y - k)² = r²

where (h , k) is the location of the center and r is the radius of the circle.

On the other hand, the general form of the equation of  circle is given by

x² + y² + Dx + Ey + F = 0

where D = -2h, E = -2k, and F = h² + k² - r².

If the equation of the circle in general form is x² + y² + 4x - 8y + 11 = 0, then the coefficients are:

D = 4

E = -8

F = 11

If D = -2h and D = 4, then

4 = -2h

h = -2

If E = -2k and E = -8, then

-8 = -2k

k = 4

Hence, the center of the circle is (h, k) = (-2, 4).

Learn more about equation of a circle here: brainly.com/question/1559324

#SPJ4

Based on the image attached, the relationship are:

a). AB and BC - Both the segments are said to be perpendicular and they are intersecting at the point B.

b). AE and BF - Both segments are said to be parallel

c). EF and ED - Both are skew

d). Plane ABC and plane ABF - Both of the planes do  intersect at point AB

e). Plane AED and plane BFC - Both of the given planes are known to be parallel

if the ratio equality is accurate, parallel. If the lines are not parallel or if you can solve them as a system of simultaneous equations, the lines will intersect. If two crossing lines have a zero dot product, they are perpendicular.

If the lines are not parallel or intersecting, they are said to skew. Lines that are parallel never cross.

Therefore,

Learn more about parallel intersection from

https://brainly.com/question/15524683
#SPJ1

Answer:

y = 2.60 (to 3sf)

Step-by-step explanation:

Since x is directly proportional to y², then x = ky², where k is a constant.

When x = 4, y = 3,

 4 = k(3)²

 4 = 9k

9k = 4

∴[tex]k =\frac{4}{9}[/tex]

∴ When x = 3,

[tex]\frac{4}{9}y^{2} = 3[/tex]

∴y = 2.60 (to 3sf)

The simplified answer is 8i-15.

What do you mean by iota?

Iota is a mathematical concept that is represented by the symbol i and has the value of [tex]i^{2}=-1[/tex] , or i =[tex]\sqrt{-1}[/tex] . It is an imaginary unit number that is denoted by i. You could have run into instances when the discriminant is negative while attempting to solve quadratic equations.

According to the given question,

We have: [tex](4i+1)^{2}[/tex]

Now, we will solving this by formula,

[tex](a+b)^{2}=a^{2} +b^{2}+2ab[/tex]

Putting the values in it,

[tex](4i+1)^{2}=(4i)^{2}+1^{2}+2(4i)(1)\\=16i^{2} +1+8i\\ =16(-1)+8i+1\\=8i-16+1\\=8i-15[/tex]

Therefore, the required answer is 8i-15.

To learn more about iota visit to the  given link:

https://brainly.com/question/20533401?referrer=searchResults

#SPJ1

Answer:

6x^2+17x+12

Step-by-step explanation:

(3x+4) * (2x+3)

3x * 2x = 6x^2

3x * 3 = 9x

+4 * 2x = +8x

+4 * +3 = +12

6x^2+ 9x+8x +12

Simplify:
6x^2+17x+12