To answer this question, we need to remember that a ratio is a comparison of two or more units. We can also need to have into account that these units must be in the same units.

We have one of the quantities is 6ft, the other is equal to 78 inches. We can convert 6ft to its equivalent in inches, or 78 inches into its equivalent in feet. Then, we have:

[tex]6ft\cdot\frac{12in}{1ft}=72in[/tex]Then, we can conclude that the ratio of 6feet (72 inches) to 78 inches is equivalent to:

[tex]\text{Ratio}=\frac{72in}{78in}=\frac{12}{13}\Rightarrow Ratio=\frac{12}{13}[/tex]A line contains points F, G, H, I, J. The space between F G is 2. The space between H and I is 1. The space between F and I is 7.

If FG = 2 units, FI = 7 units, and HI = 1 unit, what is GH?

3 units

4 units

5 units

6 units

The **measure **of GH is 4 **units**.

The **correct **option is (B)

**Equations **are mathematical statements with **two algebraic **expressions flanking the **equals **(=) sign on either side. It demonstrates the **equality **of the **relationship** between the expressions printed on the **left **and** right** sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the **value** of an **unknown variable** that represents an **unknown** quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign.

Given:

FG = 2 units, FI = 7 units, and HI = 1 unit

Now,

FI = FG+ GH +HI

7= 2 + GH + 1

7= 3 + GH

GH = 7-3

GH = 4 units

Hence, the **measure **of GH is 4 units.

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what is the arc measure of ct in radians? what is the arc length in feet?

We will determine the arch lenght (In radians) as follows:

*First: We transform the measure of the angle from degrees to radians, that is:

[tex]\theta=80\cdot\frac{\pi}{180}\Rightarrow\theta=\frac{4\pi}{9}[/tex]*Second: We find the arc length:

[tex]s=r\theta\Rightarrow s=(13.2)(\frac{4\pi}{9})[/tex][tex]\Rightarrow s=\frac{88}{15}\pi[/tex]So, **the arc length for CT is 88pi/15 radians.**

*Third: We find its measure in feet:

[tex]s\approx18.43[/tex]So, **the arch length for CT in feet is approximately 18.43 feet.**

Keisha is making potato casserole for a party. she needs 3/2 of a potato per guest. how many potatoes will she need for 15 guest

Keisha needs 3/2 of potato per guest ( i.e one guest is equivalent to 3/2 potato)

Thus, for 15 guests

she needs;

[tex]\begin{gathered} 15\text{ }\times\frac{3}{2} \\ \frac{15\times3}{2}=\frac{45}{2} \\ 22\frac{1}{2} \end{gathered}[/tex]**Keisha needs 45/2 potatoes for 15 guests**

How many positive real zeroes does f(x) = x⁵ - 4x³ + 7x² + 3x - 5 have?

**Given - **

f(x) = x⁵ - 4x³ + 7x² + 3x - 5

**To Find - **

How many positive real zeroes does f(x) have =?

**Step-by-Step Explanation -**

We have

f(x) = x⁵ - 4x³ + 7x² + 3x - 5

where the signs of coefficients are:

+ - + + -

We can see there are three changes in the sign in f(x).

So, from

Descarte's rule,

there are either 3 0r 1 positive real roots

Now,

f(-x) = -x⁵ + 4x³ + 7x² - 3x - 5

Signs: - + + - -

So, here f(-x) has two sign changes.

From this we can conclude there is at least 1 real root and either 4, 2 or 0 imaginary roots.

**Final Answer - **

**Positive real zeroes f(x) have = **

**Minimum = 1**

**Maximum = 3**

Find LM tangent angle circle

Applying the **two-tangent theorem**, the length of LM is: A. 18.

The **two-tangent theorem** states that if two **tangents** are drawn from a circle to meet at a point outside the circle, then the **tangent segments** are congruent to each other, that is they have equal lengths.

Segments LK and LM are **tangent segments** drawn to meet at the external point L. This means, the length of Lk and the length of LM would be equal to each other.

LK = 4x - 2

LM = 3x + 3

LK = LM

Substitute

4x - 2 = 3x + 3

Combine like terms

4x - 3x = 2 + 3

x = 5

LM = 3x + 3

Plug in the value of x

LM = 3(5) + 3

LM = 15 + 3

LM = 18

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Solve for brainliest and 20 points please

**Answer:**

C.

**Step-by-step explanation:**

**540**

**Answer:**

540

**Step-by-step explanation:**

you can use this equation to find the sum of angles for a shape

(n-2)180 with n being the number of sides. Since a pentagon has 5,

its 5-2= 3 then times 180 is 540

y=-2/3x+5 and goes through (0, -2)

with steps please

The** equation** of the **line** with coordinate (0, -2) that goes through y = -²/₃x + 5 is; y = -²/₃x - 2

We know that the general formula for an **equation** of a line in **slope intercept form** is;

y = mx + c

where;

m is **slope**

c is **y-intercept**

Now, from the given equation of y = -²/₃x + 5, we can say that;

Slope; m = -²/₃

y-intercept = 5

Thus, **equation** of the **new line** would be;

y - (-2) = -²/₃(x - 0)

y + 2 = -²/₃x

y = -²/₃x - 2

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1. If DM = 35, what is the value of r?

DG=r + 3 GM=4r-28

**Answer:**

r=32

**Step-by-step explanation:**

when DM=35

then. 35=r+3

35-3=r

r=32 therefore, substitute into

second equation to solve GM

GM=4r-28

GM=128-28

GM=100

6.25 ft7.25 cm11 cm8.921.6 m

The area of the shaded region can determined by substracting the area of rectangle from the area of triangle,

[tex]\begin{gathered} A=A_r-A_t \\ =14\operatorname{cm}\times25\operatorname{cm}-(\frac{1}{2}\times11\operatorname{cm}\times25) \\ =212.5cm^2 \end{gathered}[/tex]**Thus, the area of the shaded region is 212.5 square centimeters.**

10^-6/10^-2 this is my question

**Answer:**

[tex] \frac{1}{10000} [/tex]

or Decimal

[tex]0.0001[/tex]

**Step-by-step explanation:**

Greetings !

look at the figure i have attached above

Hope it helps !!

4. Find and interpret theaverage rate of change forthe interval. Show your work.1

Answer:

**Average rate of change** = -2 celcius / hour

**Interpretation: ** For every unit change in the time (x), there is a change of -2 celcius in the temperature

The average rate of change is to be found for the interval:

[tex]1\text{ }\leq x\leq3[/tex]From the interval, we can deduce that:

[tex]x_1=1,x_2=3[/tex]Know the corresponding value of y for each value of x shown above:

[tex]\begin{gathered} \text{When x}_1=1,y_1=\text{ 6} \\ \text{When x}_2=3,y_2=\text{ 0} \end{gathered}[/tex]The average rate of cgange is given by the formula:

[tex]\begin{gathered} \frac{\delta y}{\delta x}=\text{ }\frac{y_2-y_1}{x_2-x_1} \\ \frac{\delta y}{\delta x}=\text{ }\frac{0-6}{3-1} \\ \frac{\delta y}{\delta x}=\frac{-6}{3} \\ \frac{\delta y}{\delta x}=-2 \end{gathered}[/tex]The rate of change for the interval is -2 celcius/hour

This can be interpreted as for every unit change in the time (x), there is a change of -2 celcius in the temperature

Create a data set that has 4 values with a mode of 3, a median of 6, and a meanof 10

We are to create a data set of 4

that is a, b, c, d

mode means a number that occur the most

Median means the middle number

Mean means the average number

in the set, we must have a mode of 3

3, 3,

to get a median of 6, we need a number when we add to three and divide by 2 will give us 6

the number is 9

3 + 9 / 2

12/ 2 =

3, 3 , 9, d

the last number is d and it is unknown

since means is 10

mean = summation of all the numbers in the data set / the total number

the total number is 4

mean = 10

10 = 3 + 3 + 9 + d / 4

cross multiplication

10 x 4 = 3 + 3 + 9 + d

40 = 6 + 9 + d

40 = 15 + d

isolate d

d = 40 - 15

d = 25

therefore, the data set with a mode of 3, median of 6 and a mean of 10 are

3 , 3 , 9, 25

You have a tree in your yard that is 60 inches around. What is the diameter of the tree?

Given : a tree in your yard that is 60 inches around

60 inches represents the circumference of the tree

The circumference =

[tex]\pi\cdot d[/tex]Where d is the diameter of the tree

so,

[tex]\begin{gathered} \pi\cdot d=60 \\ \\ d=\frac{60}{\pi}\approx19.1 \end{gathered}[/tex]So, the answer is : the diameter of the tree is a bout 19.1 inches

A cone has a volume of 3014.4 cubic inches and a radius of 12 inches.what is the height?

Answer:

h = 20inches

Explanations:The formula for calculating the **volume of a cone** is expressed as:

where:

r is the radius

h is the height

**Given the following**

r = 12 inches

V = 3014.4 cubic inches

**Substitute** to determine the height

Hence the **height of the cone** will be **20inches**

Use the table to find the products od the two polynomials. Write your answer in descending order l.

Answer:

To use the given table to find product of the two polynomials.

**Given that,**

**Explanation:**

Using the table, we get it as,

we get,

[tex](x^2+x-2)(4x^2-8x)=4x^4-8x^3+4x^3-8x^2-8x^2+16x[/tex][tex]=4x^4-4x^3-16x^2+16[/tex]we get,

[tex](x^2+x-2)(4x^2-8x)=4x^4-4x^3-16x^2+16[/tex]**Answer is:**

this. this is sucking my soul away.

Check the picture below.

let's recall that twin sides stemming from a common **vertex**, make twin angles at the **base**.

How do I solve this problem?By using the pythagorean identities.

Given the equation:

[tex]\sin ^2x(\csc ^2x-1)[/tex]Using the Pythagorean identities

so,

[tex]\csc ^2x-1=\cot ^2x[/tex]so, the equation will be:

[tex]\begin{gathered} \sin ^2x\cdot\cot ^2x \\ \\ =\sin ^2x\cdot\frac{\cos ^2x}{\sin ^2x} \\ \\ =\cos ^2x \end{gathered}[/tex]A recipe that makes 10 pancakes calls for 13/4 cups of milk. If you want to scale down the recipe so that it makes only 2 pancakes, about how much milk should you use? A. 3/4 cup B. 1/2 cupC. 7/20 cup D. 3/10 cup E. 7/12 cup

Answer:

13/20 cups

Explanations:The recipe makes 10 Pancakes with 13/4 cups of milk

The recipe will make 1 pancake with x cups of milk

[tex]\begin{gathered} x\text{ = }\frac{13}{4}\div10 \\ x\text{ = }\frac{13}{4}\times\frac{1}{10} \\ x\text{ = }\frac{13}{40} \\ \end{gathered}[/tex]The recipe will make 1 pancake with 13/40 cups of milk

The recipe will make 2 pancakes with (2 x 13/40) cups of milk

= 26 / 40

= 13 / 20

The recipe will make 2 pancakes with 13/20 cups of milk

Hi, can you help me answer this question please, thank you!

Given that

[tex]\begin{gathered} \mu_d=\mu_2-\mu_1=21.1 \\ s_d=14.9 \\ n=8 \end{gathered}[/tex]a) The formula for the test statistics for this sample is,

[tex]t=\frac{\mu_d}{s_d\sqrt[]{n}}[/tex]Therefore,

[tex]\begin{gathered} t=\frac{21.1}{14.9\times\sqrt[]{8}}=0.50067 \\ t=0.50067\approx0.501(3\text{ decimal places)} \\ \therefore t=0.501 \end{gathered}[/tex]**Hence, the test statistic for this sample is**

b)

A group of friends were working on a student film. They spent all their budget on equipment and props. They spent $369 on equipment and 55% of the total budget on props. What was the total budget for their student film

**Answer: t = 820**

**Step-by-step explanation:**

**1) Set up the equation**

369 + 55%t = t

**2) Simplify the percentage**

369+ 0.55t = t

**3) Minus 0.55 t on both sides**

369 = 0.45t

**4) Set t by itself.**

**t = 820**

The mean Exam score on the SOC 15 Exam 2 is 84.28 with a standard deviation of 6.71Your friend scored an 86 on the exam. What percentage of students scored lower than your friendon the exam?

First, find the z-score of 86

[tex]\begin{gathered} z=\frac{x-\mu}{\sigma} \\ z=\frac{86-84.28}{6.71} \\ z=\frac{1.72}{6.71} \\ z=0.2563 \end{gathered}[/tex]Rounding to the nearest hundredth, that is **0.26**

Next, find z = 0.26 to the left of z in the z-table and we have the following

Multiply by 100%, and we have

[tex]\begin{gathered} P(z<0.26)=0.60257 \\ \\ 0.60257\cdot100\%=60.257\% \end{gathered}[/tex]Therefore, the percentage of students who scored lower than 86 is **60.257%**.

Write the domain and range of g as intervals or unions of intervals

It's important to know that **empty circles** refer to open intervals or parenthesis.

In this case, we observe that the first interval of the domain is (-1, 1) and the second interval of the domain is (2, 5), so the whole domain would be the union of these two intervals.

[tex]\text{Domain}=(-1,1)\cup(2,5)[/tex]To obtain the range, let's observe the y-values. The function goes from y = -5 to y = 3, so the range would be

[tex]Range=(-5,3)[/tex]A space shuttle is moving in a straight line and is traveling at a constant speed. It takes 3 hours to get from A to B and 1 hour to get from B to C. Relative to a suitable set of axes, A is the point (4,-1,7) and B is the point (16,-10,10). Find the coordinates of C.

We will solve as follows:

First: We will use the i, j, k vector notation to describe each point as a vector:

[tex]A=4i-j+7k[/tex][tex]B=16i-10j+10k[/tex]Now, we have that the time it takes to get from A to B is 3 hours (t1). And the time it takes from B to C is 1 hour (t2).

Second: We determine the speed from A to B:

[tex]v=\frac{B-A}{t_1}\Rightarrow v=\frac{(16-4)i+(-10+1)j+(10-7)k}{3}[/tex][tex]\Rightarrow v=\frac{12i-9j+3k}{3}\Rightarrow v=4i-3j+k[/tex]Third: We now determine the value of C:

[tex]C=B+vt_2\Rightarrow C=(16+4)i+(-10-3)j+(10+1)k[/tex][tex]\Rightarrow C=20i-13j+11k[/tex]So, we would have that the coordinates of C are:

[tex]C=(20,-13,11)[/tex]Help me asp please!!

It is an **ongoing function. **A function from a set X to a set Y assigns exactly one element of Y to each element of X. The set X is known as the **function's domain**, and the set Y is known as the **function's codomain**.

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Find the opposite of –15.

**Answer:15**

**Step-by-step explanation:**

**Answer:**

**15**

**Step-by-step explanation:**

If there is a **negative sign** just **add** a **positive sign** or **remove the sign**. And if it's a **positive number** add a **negative sign****.**** **

**Easy**** ****There**** ****we**** ****go****!**** **

the store bought a bike from the factory for 90$ and sold it to Andre for 117 what percentage was the markup?

The markup percentage was

[tex]\begin{gathered} P=\frac{117-90}{90}\cdot100 \\ P=\frac{27}{90}\cdot100 \\ P=30 \end{gathered}[/tex]The markup percentage was 30%.

Write a function to model the geometric sequence in the table. n: (1 2 3 4 5)a: (75 15 3 3/5 3/25)a) f(n) = 75 (1/5) nb) f(n) = 75 (1/5) n-1c) f(n) = 1/5 (75) nd) f(n) = 1/5 (75) n-1

First let's find the ratio of the sequence, by dividing one term by the term before:

[tex]\begin{gathered} \text{second term: 15} \\ \text{first term: 75} \\ ratio=\frac{15}{75}=\frac{1}{5} \end{gathered}[/tex]So the ratio is 1/5 and the first term is 75.

Now, we can use the following formula for the nth term of a geometric sequence:

[tex]a_n=a_1\cdot q^{n-1}[/tex]Where q is the ratio and a1 is the first term. So we have:

[tex]a_n=75(\frac{1}{5})^{n-1}[/tex]Substituting an by the function f(n), we have:

[tex]f(n)=75(\frac{1}{5})^{n-1}[/tex]So **the correct option is b)**

Please answer correctly and tell me if its linear quadratic or exponential please.

Answer:

Exponential

Step-by-step explanation:

If the initial difference has the same value, the model will be linear.

If the value of the second difference is the same, the model will be quadratic.

If the difference has been calculated more than five times before duplicate values are discovered, the model might be exponential or involve another unique equation.

Hope this helps!

This table represents what would be an exponential graph.

When graphing these points on a coordinate plane, we will find that it forms a curvy pattern.

When a graph forms a pattern of the points to form a curve, the graph is exponential.

When a graph forms a pattern of the points in resemblance of a “U” shape, the graph is quadratic.

When a graph forms a pattern of the points in resemblance of a straight line, the graph is linear.

For an example of an exponential graph, see the picture attached.

When graphing these points on a coordinate plane, we will find that it forms a curvy pattern.

When a graph forms a pattern of the points to form a curve, the graph is exponential.

When a graph forms a pattern of the points in resemblance of a “U” shape, the graph is quadratic.

When a graph forms a pattern of the points in resemblance of a straight line, the graph is linear.

For an example of an exponential graph, see the picture attached.

One weekend 5,780 people saw a new movie at (7 different theaters. Each theater sold tickets at ($7.50 a piece. If each theater received the same number of moviegoers, how much did each theater make?

Each theater** **sold tickets at ($7.50 a piece, if each theater received the same number of moviegoers, each theater make $6192.85 using **arithmetic operations**.

The four basic **operations** of **arithmetic** can be used to add, subtract, multiply, or divide two or more quantities. They cover topics like the study of numbers and the order of **operations**, which are relevant to all other areas of mathematics including **algebra**, data processing, and geometry. Without applying the laws of **arithmetic operations**, we are unable to solve the issue. The **four fundamental rules **of mathematics are **addition**, **subtraction**, **multiplication**, and **division**.

Let the **amount **of each theater get be x,

No. of **theaters **are = 7

Cost of each ticket = $7.50

No. of people = 5780

Then we can say,

7x = 5780 ×7.50

x = [tex]\frac{5780\times7.50}{7}[/tex]

= $6192.85

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Can you please also give all forms of the end behavior such as ups/downs, as_,_ , and limits #25

[tex]f(x)=\frac{x}{2x+1}[/tex]

The given function is a rational function

We will find the zeros of the denominator

[tex]\begin{gathered} 2x+1=0 \\ 2x=-1 \\ x=\frac{-1}{2} \end{gathered}[/tex]The end behavior of the function will be as follows:

[tex]\begin{gathered} x\rightarrow(-\frac{1}{2})^-;f(x)\rightarrow\infty \\ x\rightarrow(-\frac{1}{2})^+;f(x)\rightarrow-\infty \\ x\rightarrow\infty;f(x)\rightarrow\frac{1}{2} \\ x\rightarrow-\infty;f(x)\rightarrow\frac{1}{2} \end{gathered}[/tex]The graph of the function is as follows:

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