PLS Help While on a strenuous hike, Tara recorded her distance from the peak of the mountain at two different time intervals. The table shows the two pieces of data she collected.

Jana's rode her bike 12 miles in 45 minutes, so Jana's rate per hour is 16 miles/hour.

Given that, Jana is training for a triathlon that includes a 112 mile bike ride.

What is the speed?

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

Today she rode her bike 12 miles in 45 minutes.

Here, 45 minutes =45/60 =3/4

Speed =Distance/Time

= 12 ÷ 3/4

= 12 × 4/3

= 16 miles/hour

Therefore, Jana's rode her bike 12 miles in 45 minutes, so Jana's rate per hour is 16 miles/hour.

Answer: To solve 604 times 33, you can use the basic method of multiplication.

You can start by multiplying the ones digit of 604 (4) by the ones digit of 33 (3) to get 12.

Then, you can multiply the tens digit of 604 (0) by the ones digit of 33 (3) to get 0.

Finally, you can multiply the hundreds digit of 604 (6) by the ones digit of 33 (3) to get 18.

To get the final answer, you need to add these three intermediate values (0+12+18) and carry over if necessary:

604 * 33 = 20,012

You can also use long multiplication method, which is breaking down the multiplication problem into simpler problems.

Or use a calculator or computer.

Step-by-step explanation:

Answer: 12207032501220703250122070325012207032501220703250122070325012207032501220703250

Step-by-step explanation:

1220703250122070325012207032501220703250

We see that the y-intercept of the line is 4 while slope = -3/2.

The slope indicates the steepness of a line and the intercept indicates the location where it intersects an axis. The slope and the intercept define the linear relationship between two variables, and can be used to estimate an average rate of change.

The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept. In our equation, y = − 7 x + 4 , we see that the y-intercept of the line is 4.

slope = (-2 - 1) / (4 - 2) = -3 / 2

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Answer:

y=2/5x+6

Step-by-step explanation:

work attached here

Therefore ,the solution of the given problem of triangle comes out to be

area is 84 inch square.

Since a triangle has number of sides and three vertices, it is a polygon. It is a fundamental geometric shape. Triangle ABC is the moniker assigned to a triangle that has edges A, B, and C. So when three components are not collinear, a singular plane and triangle are found in Euclidean geometry. A triangle is a polygon if it has three sides and triple corners. The points where the three parts meet are known as the triangle's corners. The product of three triangle angles is 180 degrees.

Here,

Given : 7 inch , 25 inch and 24 inch.

To find the area of the triangle :

vertices are 7inch , 25inch and 24inch

Since from given vertices we can see it is an right angle triangle:

thus,

=> Area = 1/2 * base * height

=> Area = 1/2 * 24 * 7

=> Area = 12*7

=> Area = 84 inch square

Therefore ,the solution of the given problem of triangle comes out to be

area is 84 inch square.

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The interpretation of the likelihood of choosing a green marble is; Likely

Theoretical probability is defined as the term that is used to describe what is expected to happen based on math theory. Meanwhile, experimental probability that is used to describe what actually happens when the actual situation is tried out as an experiment.

Now, we are told that the probability of selecting a green marble in a bag of marbles is 3/4. This expressed in percentage is 75%.

This experimental probability is more than half of the entire probability and as such we can say that it is very much likely to occur when we select a marble.

We conclude that the correct answer is Option A.

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A integer, a constant, or a mix of both, combined with specific operation symbols, make up an expression $3r+$37.5 is the equation.

A number, a constant, or a mix of both, combined with specific operation symbols, make up an expression. An expression can only be an exponential function if it contains both an operators and a variable. Any unknown term can be used as a factor, together with the operator + and -. Examples of such terms include x, y, and z. Since 5 isn't an exponential function, it can be claimed that it.

Here,

given:

It is reasonable to assume that r = n rides. Since each ride costs $3 ($3xr), the total cost is $3.

In addition, we know that FIVE people, including Tory and every one of her friends, will be at the fair. The entrance fee is $7.50, therefore we can increase it by five to reach $37.5.

That is $3r plus $37.5.

Therefore, the equation is $37.5 + $3r, where r seems to be the total of rides taken by Tory and his friends.

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The total area under the density curve for X must be exactly 1.

The region below the density curve and above the values of X that make up the event is the likelihood of any event. There must be exactly one area under the density curve for all instances of X.

A Density Curve: What Is It?

The general shape of a distribution is depicted by a density curve. The percentage of all observations falling in a certain period is represented by the area under the curve and above any interval of values on the horizontal axis. A density curve's median is the location where the area to the left and right are equal.

A graph that displays probability is known as a density curve. All probabilities are represented by 100% of the curve's area under the curve. You can alternatively state that the area is equal to 1 because 100% is a decimal, which is how we typically express probabilities.

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On solving the provided question, we can say that if the length of GF IS 8 unit then  the length of HI(Diameter) = 16 unit.

The diameter of a circle cuts through the center whereas the radius extends from the center to the edges of the circle. The diameter of a circle effectively divides the shape in two.

A chord is a straight line that is drawn between two points on a circle when it is used in mathematics (or more generally, on any curve). A table of chords was the first trigonometric table ever discovered. Nowadays, the sine is employed in its place (sines and chords are connected), but chords might be more understandable to some people.

Radius is "GF"

diameter is "HI"

Cord is "EJ".

If the length of GF IS 8 unit

then the length of HI(Diameter) = 16 unit.

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Answer:

[tex]x=\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]x+\frac{21}{4}=6\\4x+21=24\\4x=3\\x=\frac{3}{4}[/tex]

4 ounces ate 328 calories : 1312 calories.

This technique allows us to calculate both the value of multiple units from the value of a single unit and the value of single unit from the value of multiple units.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary technique.

We typically utilize this technique for math calculations.

This approach will be helpful to you while tackling problems involving ratio and proportion, algebra, geometry, etc.

According to our question-

The given 4 ounces ate 328 calories

and 1 pound = 16 ounces

16/4= 4

4 * 328 = 1312

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The length of given point is 1 units. The total length of the actual path followed by an object is called as distance.

Use the formula d = st, or distance equals speed times time, to find the distance. Since both represent a certain amount of distance per unit of time, such as miles per hour or kilometres per hour, rate and speed are comparable. If speed s and rate r are equal, then r = s = d/t.

Here,

Given :

Distance Formula

=> [tex]\sqrt{(x_{2}- x_{1} )^{2} + (y_{2}- y_{1} )^{2} }[/tex]

=> [tex]\sqrt{6- 5 )^{2} + (0 )^{2} }[/tex]

=> 1

Therefore , The length of given point is 1 units. The total length of the actual path followed by an object is called as distance.

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Answer: m∠ABC = 54° and m∠​DBC= 30°

Step-by-step explanation: To find the measures of each angle, you have to make it into an equation to solve for .

In this case, the equation is (3x + 3) + (6x - 1) = 83°

First you combine like terms. In this case the 3x and the 6x have to be combined. 3x + 6x = 9x. The 3 and -1 have to be combined as well. 3 - 1 = 2.

Now you have 9x + 2 = 83°

Subtract 2 from each side and you are left with 9x = 81°.

Now divide each side by 9 and you are left with x = 9.

Now that you know the value of x, you will have to apply it to the equation for each angle.

m∠ABC = 6(9) - 9 = 53

m∠ABC = 53°

m∠​DBC = 3(9) + 3 = 30

m∠​DBC = 30°

In conclusion, the measure of angle ABC 53° and the measure of angle DBC is 3°.

Hoped this helped!!

Answer:

m∠ABC = 54° and m∠​DBC= 30°

linear operations When the function's degree is 1 and it depicts a straight line, the expression is f(x) is x .

The simplest function in a family of functions that yet retains the definition (or form) of the entire family is known as a parent function in mathematics.

The most basic form of an equation in a family of functions is a parent function. There are several types of parent functions, including: linear operations When the function's degree is 1 and it depicts a straight line, the expression is f(x)=x f (x) = x.

y(x) = x is the linear parent function to keep in mind. This is the function's simplest, most fundamental version.

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Answer: t/w

Step-by-step explanation: It's the reciprocal, so you have to flip both. 9/5 = w/t,   5/9 = t/w

Answer:

a = 99

b = 51

Step-by-step explanation:

We can translate this problem into a linear equation. We know that:

2b - 3 = a

and

a + b = 150

We will start by minusing b from both sides in the second equation, giving us:

a = 150 - b

Then, we will substitute this into our second equation, giving us:

2b - 3 = 150 - b

We will add 3 and b to both sides, giving us:

3b = 153

Then we divide by 3:

b = 51

Now, we will substitute this into our second equation, giving us:

a + 51 = 150

Subtract 51 from both sides gives us:

a = 99

So, the a piece is 99 yards long, and the b piece is 51 yards long.

a = 99

b = 51

Hope this helped!

The expressions that are sums or differences of two cube:

A. 64 + a¹²b⁵¹

B. –t⁶ + u³v²¹

C. 8h⁴⁵ – k¹⁵

An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. In mathematics, an expression is a phrase that has at least two numbers or variables and at least one arithmetic operation. Addition, subtraction, multiplication, or division are all examples of math operations. A number, a variable, or a combination of numbers, variables, and operation symbols constitutes an expression. An equation consists of two expressions joined by an equal sign. Example of a word: the sum of 8 and 3. Example of a word: The product of 8 and 3 equals 11. 8 + 3 is an expression.

Here,

The following phrases are sums or differences of two cubes:

A. 64 + a¹²b⁵¹

=4³+(a⁴b¹⁷)³

B. –t⁶ + u³v²¹

=(-t²)³+(uv⁷)³

C. 8h⁴⁵ – k¹⁵

=(2h¹⁵)³-(k⁵)³

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Answer:

last

Step-by-step explanation:

last because isometry is a shape moving rotating or reflecting across but sides are same since square became bigger and rhombus thinner only triangle is left

Answer:

m = 2 K.E / v^2

Step-by-step explanation:

K.E = 1/2 mv^2

K.E × 2/1 = mv^2

2 K.E = mv^2

2 K.E × 1/ v^2 = m

∴ m = 2 K.E / v^2

[tex]m=\frac{2KE}{v^{2}}[/tex].

Just for general knowledge. This is a formula from physics, specifically, classical mechanics. It is used to calculate the kinetic energy of bodies, that what the varaible "KE" stands for.

Now, let's rearrange the formula!

[tex]KE=\frac{1}{2} mv^{2}[/tex]

[tex]2KE=\frac{1}{2} mv^{2}*2\\ \\2KE=mv^{2}[/tex]

See that the 2 is used to cancel the 1/2 fraction.

[tex]\frac{2KE}{v^{2}} =\frac{mv^{2}}{v^{2} } \\ \\\frac{2KE}{v^{2}} =m\\ \\m=\frac{2KE}{v^{2}}[/tex]

[tex]m=\frac{2KE}{v^{2}}[/tex].

If the result is correct, then the equation should return the same value of both sides of the equal symbol (=) when we substitute the variable "m" by it's calculated value, [tex]\frac{2KE}{v^{2}}[/tex].

[tex]KE=\frac{1}{2} (\frac{2KE}{v^{2}})v^{2}[/tex]

Here, the 1/2 fraction is cancelled by the 2 inside the parenthesis. Also, the v² is cancelled out by the v² that's dividing inside the parenthesis, leaving us with this expression (check attached image to better understand this step):

[tex]KE=KE[/tex]

As you can tell, the same variable appears on both sides of the equal symbol, this means that the result is correct!

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Answer:

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

We observe that the sequence is decreasing with common difference of - 3.

Therefore, this is an AP, with the first term of t(1) = 13 and common difference of d = -3.

Use the nth term formula for AP:

Answer:

a)  Arithmetic sequence

b)  t(n) = 16 - 3n

Step-by-step explanation:

An Arithmetic Sequence has a constant difference between each consecutive term.

A Geometric Sequence has a constant ratio (multiplier) between each consecutive term.

From inspection of the given table, t(n) decreases by 3 each time n increases by 1.  Therefore, the sequence is arithmetic with a common difference of -3.

[tex]\boxed{\begin{minipage}{8 cm}\underline{General form of an arithmetic sequence}\\\\$a_n=a+(n-1)d$\\\\where:\\\phantom{ww}$\bullet$ $a_n$ is the nth term. \\ \phantom{ww}$\bullet$ $a$ is the first term.\\\phantom{ww}$\bullet$ $d$ is the common difference between terms.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}[/tex]

Given:

Substitute the initial value (when n = 1) and the common difference into the formula to create an equation for the nth term:

[tex]\implies t(n)=13+(n-1)(-3)[/tex]

[tex]\implies t(n)=13-3n+3[/tex]

[tex]\implies t(n)=16-3n[/tex]

the interest Bianca will collect is $3127.50.

What is simple interest?

A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,

The formula for simple interest is:

S = p*t*r/100

where P is the principal amount of money, R is the interest rate as a decimal, T is the time.

p = 3000

r =4.25%

t =1

S = 3000*4.25*1/100 = 127.50

Hence the interest Bianca will collect is $3127.50.

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No, Her goal was to earn $300 but she managed to earn only $270, selling calendars.

Any system that divides time into discrete units, such as days, months, or years, and places those units in a specific order is known as a calendar. A calendar is useful for keeping track of historical events, religious holidays, and other observances, as well as for scientific and historical research.

The word is derived from calendae (or kalendae), the first day of the month in the Roman republican calendar, the day on which future market days, feasts, and other occasions were announced. Calendae is the Latin word for "interest register" or "account book," which is itself a derivation from calendae.

Given that:

Cost of each calendar = $9

Number of calendar sold to the family = 16

Number of calendar sold to the neighbourhood = 14

So, The total number of calendar sold by Celia = The number of calendar sold to the family + The number of calendar sold to the neighbourhood

Total number of calendar sold by Celia = 16 + 14 = 30

The cost of each calendar = $ 9

The cost of 30 calendar = $ 9 × 30 = $ 270

Therefore, she could not reach her goal as her goal was to earn $300 but she managed to earn only $270.

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Answer:

60

Step-by-step explanation:

2(7)^2 -5(7) -3

2(49) -35 -3

98 -35 -3

63 -3

60

Answer:

7

Step-by-step explanation:

lets bring the numbers down here.

7,7,2,4,6,7,8,8,8,8,9,0,0,4,4

By arranging them from least to greatest.

0 ,0 ,2 ,4, 4, 4, 6, 7 ,7, 7 ,8 ,8 ,8 ,8 ,9

the median(middle number) is 7

Deductible: This is the amount that the insured is responsible for paying before insurance coverage begins. The higher the deductible, the lower the monthly premium will be.

Amount: This is the total amount that the insurance company will cover.

Number of Co-Payments: This is the number of times the insured will be responsible for paying a specific dollar amount (in this case, $10) for covered services.

Amount of Co-Payments: This is the total dollar amount that the insured will be responsible for paying in co-payments.

Amount Subject to Co-Insurance: This is the total dollar amount that the insured is responsible for paying after the deductible and co-payments have been met.

Insured Co-Insurance Rate: This is the percentage of the remaining amount that the insured is responsible for paying.

Amount of Co-Insurance: This is the dollar amount that the insured is responsible for paying according to their co-insurance rate.

Total Paid by Insured: This is the total dollar amount that the insured is responsible for paying, including the deductible, co-payments, and co-insurance.

For example, for the first row, the insured would be responsible for paying $500 for the deductible, $200 for co-payments (20 payments of $10 each), and $4,000 for co-insurance (20% of $20,000). The total paid by the insured would be $500 + $200 + $4,000 = $4,700

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Each member of the photography club got [tex]\frac{1}{8}[/tex] of the lasagna from the pan of lasagna.

The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection.

Given that the club was provided with half pan of lasagna. So the initial amount of lasagna is [tex]\frac{1}{2}[/tex].

The [tex]\frac{1}{2}[/tex] lasagna is further shared within 4 members. Hence each member will get:

[tex]\frac{\frac{1}{2} }{4} = \frac{1}{8}[/tex] lasagnas.

Hence, each member of the photography club got [tex]\frac{1}{8}[/tex] of the lasagna from the pan of lasagna.

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Answer:

eight million four hundred and nine thousand one hundred and twenty

Answer: Eight million four hundred and nine thousand one hundred and twenty

When your base wage is $20,000, your notch equals your basic salary times twelve, or $240000.

directly varying You have the function y = mx (commonly written y = kx), which is known as a direct variation, in the equation y = mx + b if m is a  Variation Theory is a general theory of learning that is mostly utilized in the pedagogy and teaching of mathematics. By emphasizing what remains the same and what changes, it draws attention to a concept's key components and provides the chance to draw connections that are significant.

given

basic salary = 20000

sello notch = basic salary * 12

20000 * 12 = $ 240000

When your base wage is $20,000, your notch equals your basic salary times twelve, or $240000.

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