The **rate of change** of the distance in feet below the sea level over time is: 8 ft/sec.

The **rate of change** of a **linear relationship** between variables x and y is calculated as:

**Rate of change** = change in y / change in x.

From the table given, we have:

x = time (in seconds)y = distance below sea level (in feet)Using any two points from the table, (0, 460) and (18, 604):

**Rate of change** of the **linear relationship** = change in y / change in x = (604 - 460)/(18 - 0)

**Rate of change** of the **linear relationship** = 144/18

**Rate of change** of the **linear relationship** = 8 ft/sec.

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Calculate the height of a pyramid if the volume is 168 cm³ and the area of the base in 36 cm².

V

=

Bh, V = volume, B = area of the base, h = height

The **volume** of a **pyramid** is v = **1****/****3****base** **area** × **height**

height = 3volume/ base area

height = 3×168cm^3/ 36cm^2

height = **14cm**

A **pyramid** is a **three-dimensional** **shape**. It has a flat polygon base. All the other faces are triangles which are called lateral faces. The number of lateral faces equals the number of sides on its base.

The **volume** of a **pyramid** is given by

v= **1****/****3****base** **area** × **height**

= 3×168 = 36h

therefore the height =3x168/36

= **1****4****cm**

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at a certain college there are twice as many english majors as history majors and three times as many english majors as mathematics majors. what is the ratio of the number of history majors to the number of mathematics majors?

The **ratio** of the number of history majors to the number of mathematics majors is 3 to 2.

When two objects are related using numbers or amounts, the relationship is known as a ratio.

Let E be the number of **English majors**, H be the number of** history majors**, and M is the number of **math majors**.

Now,

There are twice as many English majors as history majors.

E = 2 × H

There are three times as many English majors as mathematics majors.

E = 3 × M

Now, let's assume E = 6.

Then,

6 = 2 × H

H = 3 and,

6 = 3 × M

M = 2

Therefore, the **ratio** of the number of history majors to the number of mathematics majors will be:

H: M = 3 : 2

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I need help so I get good grades

**Answer: 9 **

**Step-by-step explanation:**

I am assuming that the grid units equal 1 inch.

We have to solve for x. For the width,

60 = 20/3 x

To divide by a fraction is to multiply by its reciprocal.

x = 60 * 3/20 = 180/20 = 9

5÷6?what is it long division picture please

**The solution is ; 5/6 = 0.833... (recurring decimal)**

The graph of an exponential function has a y-intercept of 9 and contains the point (2,144). Construct the function that describes the graph.

The **graph **of an exponential **function **has a y-intercept of 9 and contains the point (2,144). the function that describes the **graph**.

y=9(4)^x

This is further explained below.

What is the function that describes the graph.?Generally, the Standard form of an exponential **function**

y=a b^x

Where

**y**= is the y component of the **graph**

**x**= is the x component of the graph

a and b are **equation **vaiables

Given the** y-intercept** (0,9) and the point (2,144) Applying both.

a=9,

144=9 b^2

Solve further by making b the subject of **formular**

b^2=144/9

b^2=16

b[tex]= \sqrt{ 16}[/tex]

Therefore b=4

So, y=9(4)^x

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Write (9m) to the power of 4 without exponents.

6561m⁴ is the value of the expression (9m)⁴ without applying the **exponent** property.

What is an **exponent**?

The type of mathematical shorthand known as **exponential** notation enables us to write complex expressions more concisely. The **base**, which can be either a number or letter, is an exponent. It implies that the **base** is to be raised to a specific level of **power**. While n is the **power**, X is the **base**.

The expression is (9m)⁴.

The value of the expression (9m)⁴ without applying the property of the exponent will be

→ 9m × 9m × 9m × 9m

(we've simply expanded (9m)⁴ )

which on further simplifying gives,

→ 6561m⁴

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a triangle with a base of 6cm has an area of 30cm squared. What is its perpendicular height?

The area of a triangle is 1/2bh. We know the area, a, the base, b, and we are attempting to find the height, h. So, we simplify the area formula with the value of b and solve for h, given a.

1/2(6)h = 30

3h = 30

Isolate h.

3h/3 = 30/3**h = 10**

solve. 2-6: MathXL for School: Practice & Problem Solving (Grade 8 Pre-Algebra)

**The area of the rectangle** is [tex]b^2[/tex] +9b square feet

**The rectangle **is the quadrilateral whose opposite sides are parallel and equal. The rectangle is a four sided shape that all the angles are 90 degrees

**The area **is defined as the total space occupied by the two dimensional shape like rectangle, triangle, circle etc..

**The length **of the rectangle = (5/3)b+15 feet

**The width** of the rectangle = (3/5)b feet

The area of the rectangle = The length of the rectangle × The width of the rectangle

Substitute the values in the equation

The area of the rectangle = [(5/3)b+15] ×(3/5)b

Apply the **distributive property** in the equation

[(5/3)b+15] ×(3/5)b = [tex]b^2[/tex] +9b square feet

Hence, the area of the rectangle is [tex]b^2[/tex] +9b square feet

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Alex is fourteen years old and he is also nine years older than his sister Kristen. How old is Kristen?

**Answer:**

5

**Step-by-step explanation:**

If Alex is 14 and he's 9 years older than his sister Kristen,then Kristen is 5

14-9=5

Answer:

14-9 = 5, so Kristen is 5 years old

which of these expressions are equal to 3/5×6?Explain why the others aren't equal to this expression.3×(6÷5)3÷(5×6)(3×6)÷53×6/5

**Answer:**

(3×6)÷5

**Step-by-step explanation:**

We are given the following expression:

(3/5)*6

The 6 can also be written as a fraction(6/1).

So we have a multiplication of fractions, is which we multiply the numerators and denominators.

So

(3*6)/5

The fraction sign means division

So the answer is:

(3×6)÷5

Mr majors ordered 6 boxes of candy and a bucket of pop corn at the concession stand. if the pop corn was $3.20 and the total was $18.20, what was the price of one candy box

The** price** of one candy box was **$2.50** if the popcorn were of $3.20 and the total amount was $18.20.

The price of one candy box can be determined using an algebraic expression. An **algebraic expression** can be defined as one that consists of both numbers and letters.

As he ordered 6 boxes of candy and a bucket of popcorn and the popcorn was of $3.20 and the total was $18.20, an algebraic expression can be given as;

6(x) + 3.20 = 18.20

Here x is the price of one candy box

Solving for x;

6x = 18.20 - 3.20

6x = 15

x = 15 / 6

x = 2.50

Hence the price of one **candy box** is calculated to be $2.50.

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PLEASE HELP I LITERALLY HAVE 10 MINUTES!! 40 POINTSSS

The **graph** that **matches** the **data** on the **table**, representing the **altitude** and time of a hawk is the straight line graph in the second option.

A **straight line graph** is the graph of a linear function or relationship

From the he values in the given, we have;

The difference between the consecutive altitude values (the first difference) = 70 - 80 = 60 - 70 = 50 - 60 = -10 is constant

The difference between consecutive time values = 1

Therefore;

The relationship is a linear relationship and the graph is a straight line.

**Slope** of the graph = -10/1 = -10

The equation in point and slope form is therefore;

(y - 80) = (-10) × (x - 1) = -10•x + 10

(y - 80) = -10•x + 10

y = 80 + 10 - 10•x = 90 - 10•x

y = 90 - 10•x

The y–intercept = 90

The slope = -10

The correct option is therefore the second graph that has the **altitude** (ft) on the the **vertical axis** and the **time** (s) on the **horizontal axis**, with a straight line decreasing from left to right starting at the point (0, 90) on the left

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Samuel was preparing for the triathlon. He did 3 activities every morning: ran for 30 minutes, covering 4.5 miles swam for 20 minutes, covering 2 3 mi biked for 45 minutes, covering 9 miles What was Samuel's average speed during his morning training?

Samuel's** average speed **during his morning training is** 0.41 miles/minute.**

Here we have to find the average speed of Samuel. We can solve this problem by following a few steps.

According to the problem, Samuel was preparing for the triathlon. He did 3 activities every morning; ran for 30 minutes, covered 4.5 miles; swam for 20 minutes, covered 2.3 miles biked for 45 minutes, and covered 9 miles.

We have to recall the formula of average speed as,

**average speed = total covered distance/ total time**

The total distance which has been covered is,

4.5 miles by running,2.3 miles by swimming,9 miles by biking.The total covered distance is, ( 4.5 + 2.3 + 9 ) = 36.5 miles.

The total time which has been spent is,

30 minutes for running,20 minutes for swimming,45 minutes for biking.The** total spent time **is, (30+ 20+ 40) = 90 minutes.

Now, we can easily calculate the average speed. Which is (36.5/90) = **.41 miles/minute.**

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Juniper has a monthly budget that breaks down as follows 40% for rent 15% for food 18% free utilities 15% for savings for person for entertainment and 8% for personal items juniper has a net income of 3,250 each month calculate the amount of money that juniper has each month for rent

**Juniper** spends $1300 out of the monthly **income** of $3250 on **rent**

Total income of Juniper = 3250 each month

Income is the money that an individual or organization receives in return for their services or goods. Depending on the context—such as taxation, financial accounting, or economic analysis—income may have a variety of definitions.

Percentage of expenditure on rent = 40%

Percentage of expenditure on **food** = 15%

Percentage of expenditure on **utilities** = 18%

The percentage for **savings** = 15%

Percentage of expenditure for personal items = 8%

Money Juniper spends on rent each month out of total income:

= Income per month*40%

3250*40%

= $1300

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"Every angle subtended at the circumference of a semicircle by the diameter is a roght angle." Which other circle theorem proves this?

The **angle **subtended by an **arc **is twice the angle it subtends.

The angle is 90 degrees.

**What is diameter of circle?**

diameter is circle is twice the radius of circle.

The **theorem **to solve the given statement is :

The **angle **subtended by an **arc **is twice the angle it subtends.

let suppose, O be the center of circle,

The **diameter AB **forms on the **circle **and point P on the periphery of circle ,

so we have:

To prove : ∠APB=90°

We know that **angle **subtended by an arc at center is double the angle subtended at any point or **circumference**.

that is:

Angle subtended by **arc **AB at O = Double the **angle **subtended at P

⇒∠AOB=2∠APB

∵AOB is a **straight line**.

∠AOB=180°

2∠APB=180°

∠APB=90°

Angle formed by arc AB or **semi circle** is 90°

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What equation could be used to solve the problem below?

If three times a number is increased by 24, the result is 4 less than seven times the number.

3x+24=7x+4

The reason it is +4 even though it says the number is 4 LESS than the number times 7 you want to make them equal to be able to solve for x

The reason it is +4 even though it says the number is 4 LESS than the number times 7 you want to make them equal to be able to solve for x

If f(x) = (x^2 - 4)/(x + 2), find f(- 1)

Please work it out or explain how you got answer!!! I’ll mark brainliest!

**Answer:**

-3

**Step-by-step explanation:**

f(x) = (x^2 - 4)/(x + 2)

Substituting x = -1,

f(-1) = (1 - 4)/(-1 + 2)

f(-1) = -3

Aaden has a bag that contains strawberry chews, apple chews, and watermelon

chews. He performs an experiment. Aaden randomly removes a chew from the bag,

records the result, and returns the chew to the bag. Aaden performs the experiment

31 times. The results are shown below:

A strawberry chew was selected 4 times.

A apple chew was selected 7 times.

A watermelon chew was selected 20 times.

Based on these results, express the probability that the next chew Aaden removes

from the bag will be a flavor other than apple as a fraction in simplest form.

The **probability **that the next chew Aaden removes from the bag will be a flavor other than **apple **is 24/31.

**Probability **is a branch of **mathematics** concerned with determining the likelihood of an **event** occurring. Probability assesses the likelihood of an event occurring and is equal to the number of **favorable events **divided by the total number of events.

Given:

Number of times Aaden performs the **experiment** = 31 times

A strawberry** **chew was selected 4 times.

An apple chew was selected 7 times.

A watermelon chew was selected 20 times.

So,

Probability of selecting a strawberry chew = 4/31

Probability of selecting an apple chew = 7/31

Probability of selecting a watermelon chew = 20/31

So, the probability that the next chew Aaden removes from the bag will be a flavor other than apple i.e. it can be strawberry or watermelon chew.

Probability of selecting a strawberry chew + Probability of selecting a watermelon chew

= 4/31 + 20/31 = 24/31

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**Answer:**

24/31

**Step-by-step explanation:**

Based on these results, express the probability that the next chew Aaden removes from the bag will be a flavor other than apple as a fraction in simplest form.

The experiment occurred 31 times, a flavor other than apple was selected 4+20=24 times. Probability the next chew will be a flavor other than apple:

24/31

=

The probability as a fraction in simplest form is

**24/31**

How many solutions does this equation have?

–4k − 13 = 19 − 8k + 20

**Answer: k = 13**

**Step-by-step explanation:**

Find x 109° x 31° 35°

No need to help anymore. I figured out the answer.

The value of x is **4****3****.**

As per the property of exterior angles, the **exterior angle** is equal to **sum** of opposite interior angles. Also, the rightmost interior angle of triangle will be 35°. This will be according to the property that **opposite angles **are** equal**. Now, forming the equation for sum of exterior angles.

109 = x + 31 + 35

Performing **addition** on Right Hand Side of the equation

109 = x + 66

Rearranging the equation

x = 109 - 66

Performing **subtraction** on Right Hand Side of the equation

x = 43

Therefore, as per the angles of triangle, the value of x is **4****3****.**

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(02.05 MC)

Given f(x) and g(x) = f(kx), use the graph to determine the value of k.

-3

-1/3

1/3

3

Using the **graph **obtained value of **k** is 1/3. Option** C** is correct.

It is defined as a special type of **relationship**, and they have a predefined **domain **and range according to the **function **every value in the domain is related to exactly one value in the **range**.

It is given that

f(x) and g(x) = f(k-x),

The standard **equation **of a line is,

y = mx + b

The **slope **of the line for the coordinate **points **are (1, 2) and (1.5, 5)

m = 5-2/1.5-1

m = 3/0.5

m = 6

The **y-intercept **of the line is,

2 = 6(1) + b

2 - 6 = b

b = -4

As a result the obtained **equation **is g(x) = 6x - 4

For the other **coordinate** point (3, 2) and (2, 0), the slope is

m = 0-2/2-3

m = -2/-1

m = 2

The y-intercept of the **line **is,

2 = 2(3) + b

2 - 6 = b

b = -4

As a result the obtained **equation **will be f(x) = 2x - 4.

Substitute xk at the place of x in the function as

f(xk) = 2(xk)- 4

If g(x) to f(k⋅x)

6x + 4 = 2(xk)- 4

6x = 2xk

6 = 2k

k = 1/3

Thus, using the **graph **obtained value of **k** is 1/3. Option** C** is correct.

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The triangle below is isosceles. Find the length of side x in simplest radical form with a rational denominator. PLEASE HELP ASAP

**Answer:**

[tex]2\sqrt{2}[/tex]

**Step-by-step explanation:**

x^2+x^2=16

x^2=8

x= 2sqrt2

:]

I l over here and I have no idea

Orlando makes a trail mix for his hiking trip. He uses 1 \frac{5}{6}1 6 5 pounds of cashews, 1.6 pounds of sunflower seeds, 1 \frac{1}{8}1 8 1 pounds of raisins, and 1.625 pounds of pecans. Which answer choice shows these weights in order from least to greatest ? DUE TODAY NEED NOW WILL GIVE BRAINLIEST PART OF TEST REALLY NEED

An answer choice shows these weights in order from **least** to** greatest** is:

A **numerical data **can be defined as a data set that is primarily expressed in numbers only. This ultimately implies that, a** numerical data **refers to a data set consisting of numbers rather than words.

In order to arrange the given **numerical data** (weights) in order from** least** to **greatest,** we would convert the fractions into a decimal number as follows:

Now, we can arrange the **numerical data** in order from **least** to **greatest** based on the weight of each item:

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A ring is now reduced to £840.

This is a saving of 40% of the original price.

b) Work out the original price of the ring.

**Answer:**

The original price was $864

**Step-by-step explanation:**

if the ring is now $840 $40 u do $40 - %40 = %24

$24 + $840 = $864

PLEASE HELP DUE IN A FEW MINUTES! THANK YOU!!

**Step-by-step explanation:**

5 - (-7) = 5 + **7**

because 2 negatives added together make positive.

**Answer:**

+ 7

**Step-by-step explanation:**

the rule of signs for addition/ subtraction

a + (- b ) = a - b

a + (+ b) = a + b

a - (+ b) = a - b

a - (- b) = a + b

Then

5 - (- 7 ) = 5 + 7

INEED HELP NOW PLS HELP IVE GIVEN EXSAMPlES AND I NEED SNSWeRS With work to it

1) 20** percent** of 60 is 12

2) 25 **percent** of 24 is 6

3) 4 **percent** of 600 is 24

4) 88 is 110 **percent** of 80

5) 18 is 20 **percent** of 90

To calculate the **proportion** of value to the original value, the **percentage **concept is employed. For calculating a company's **profit** or** loss** **percentage **, percentages are **frequently** employed in business. Additionally, it's a common way for universities and schools to display the grades that pupils have earned. An **estimation** of the pupils' grades can be made using a percentage calculation. A ratio of any value to the total value **multiplied** by 100 is how percentages are typically defined. The percentage is shown as % in symbols.

1) [tex]\frac{20}{100}[/tex]×x=12

x=[tex]\frac{1200}{20}[/tex]

x = 60

2) x ×[tex]\frac{24}{100}[/tex] = 6

x=25%

3)[tex]\frac{4}{100}[/tex]×600 = 24

4) [tex]\frac{110}{100}[/tex]×x = 88

x =[tex]\frac{8800}{110}[/tex]

x= 80

5) [tex]\frac{x}{100}[/tex]×90 = 18

x = 20

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I messed up and didn’t show this for my last question, so sorry on my part.

Evaluate the function for the following values

f(-2)=

f(0)=

f(3)=

F(-2)=2 f(0)=7 f(3)=7. To find those answers, you look at -2 on the x axis and then go up to the graph to find the Y axis value of 2. You repeat that for the rest.

**Answer:**

1 , 7 , 7

**Step-by-step explanation:**

to evaluate f(- 2) means what is the value of y when x = - 2

locate x = - 2 on the x- axis , go vertically up to meet the graph at (- 2, 1)

f(- 2) = 1

similarly

f(0)

locate x = 0 , at the origin, go vertically up to meet the graph at (0, 7 )

f(0) = 7

f(3)

locate x = 3 on the x- axis , go vertically up to meet the graph at (3, 7 )

f(3) = 7

Wendy is paid $9 per hour and plans to work between 20 and 25 hours per week. Identify the independent and dependent quantity in the situation. Find reasonable domain and range values.

The **domain** of the given question is; 20 to 25.

If she is paid $9 per hour, the **range** is; $180 to $225.

The **independent quantity** is defined as the quantity that causes a change in the **dependent quantity**.

Now, In this question, the defined quantities are hours worked and weekly pay. Applying the concept of independent and dependent quality, the number of hours she works causes her weekly pay to change. This means that hours worked is the **independent quantity **and weekly pay is the **dependent quantity.**

We are told that she plans to work between 20 and 25 hours. This means that;

The domain is 20 to 25.

Now, as she is paid $9 per hour, this makes the range;

9(20) = $180 to 9(25) = $225.

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The diagram shows an intersection of roads. Identify all supplementary, complementary, and vertical angles.

Fast please!!!

**Answer:**

Supplementary: 2,3

Complementary: 1,4,5

Vertical Angles (VA): 1 is equivalent to 4

**Step-by-step explanation:**

Supplementary angles are angles that equal up to 180 degrees.

Complementary angles are angles that are 90 degrees.

VA (Vertical Angles) are angles that are basically across from other (take a look at 1 and 4) AND NO, 2,3 or 5 would be considered as Vertical angles as they do not Aline.

PLEASE HELP IMMEDIATELY

What is the equation of the line that passes through Point (-2, 1) and has a Slope of 1.

**Answer:**

[tex]y=x+3[/tex]

**Step-by-step explanation:**

Using Point-Slope form: Y-y1=m(X-x1)

Slope(m) = 1, Point(x1,y1) = (-2,1)

y-1=1(x+2)

y=x+2+1

y=x+3

:]

(ps. Brainliest would be greatly appreciated lol)

**Step-by-step explanation:**

1.given gradient (slope) make formula of straight line

[tex]y = 1x + c[/tex]

2.substitute in y and x values in order to work out c

[tex]1 = 1( - 2) + c[/tex]

[tex]c = 3[/tex]

3. equation of line is

[tex]y = 1x + 3[/tex]

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