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Karim is 2.03 metres tall.
Lucas is 1.59 metres tall.

Carlo is taller than Lucas by half the difference between Karim's height and
Lucas's height.
How tall, in metres, is Carlo?

Answers

Answer 1

Answer:

.28

Step-by-step explanation:

you subtract Lucas's from karim's hight wich is .56 then devid in by 2 wich is .28


Related Questions

What is the integrated rate law for a 1st order reaction?

Answers

Answer: In[A]_t = kt + In[A]_0

Expiation: the half-life of a first-order reaction is independent of concentration, and this equation has the form y=mx + b so a plot of the natural log of [A] as a function of time yields a straight line

Source: khanacadamey.org

Hope this helps!

PLEASE HELP ASAP‼️‼️Are the sides proportional?
Set up each ratio of sides and determine if they are equal
ratios. Show all of your work.
3.61 cm
R
44°
S
11.97 cm
9.71 cm
15
N
T
17.955 cm
14.565 cm
121°
M
L
5.415 cn

Answers

The side lengths form a proportional relationship, and the ratios are as follows:

17.955/11.97 = 14.565/9.71 = 5.415/3.61.

What are similar triangles?

Similar triangles are triangles that share these two features presented as follows:

They must have Congruent angle measures.

They have Proportional side lengths.

Here, the triangles are similar, as they have the same angle measures.

17.955/11.97 = 14.565/9.71 = 5.415/3.61.

Thus, the side lengths form a proportional relationship, as the equivalent side have a ratio of 1.5.

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The circumfrence is 26cm what is the diameter to 1dp

Answers

Answer:

The diameter is 8.3cm.

Step-by-step explanation:

The circumference is the distance all the way around a circle. To find circumference, multiply pi times diameter:

C = pi • d

Fill in given circumference.

26 = pi • d

Divide both sides by pi (you should use a calculator) in this question it doesn't happen to matter if you use a pi button or 3.14 for pi.

26/3.14 = d

8.276057 = d if you use the pi button.

or,

8.28025 = d if you use 3.14

Both of these round to 8.3, since the question asked for one decimal place (1dp)

The diameter is 8.3cm.

Which of the following is the product of the rational expressions shown
below?
x+6 2-6
x+3 x-3
A. 22-12
B. 2-12
C. 2-366
9
OA.
OD. 12

Answers

The product of the rational expression shown above include the following: B. x² - 36/(x² - 9).

What is a rational expression?

In Mathematics, a rational expression simply refers to a type of expression  which is expressed as a fraction. This ultimately implies that, a rational expression is composed of two (2) main parts and these include the following:

NumeratorDenominator

In this exercise, we would determine the product of the numerator for this rational expression and the product of the denominator for this rational expression as follows;

Product of numerator = (x + 6)(x - 6)

Product of numerator = x² + 6x - 6x - 36

Product of numerator = x² - 36

For the denominator, we have the following:

Product of denominator = (x + 3) × (x - 3)

Product of denominator = x² - 3x + 3x - 9

Product of denominator = x² - 9

Therefor, the product of the rational expression is given by x² - 36/(x² - 9).

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Please help asap thank you so much if you do

Answers

the relation has the domain of -4> x> 4 and the given relation is continuous for the given range.

What is the range or domain of a function?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Given a graph,

The relation that defines the set of inputs to the set of outputs is called the functions. In function, each input in set X has exactly one output in set Y. Note: All functions are relations but all relations are not functions.

thus the given graph is a relation but not a function.

Given relation is continuous in the domain.

since the domain of the relation is The set which contains all the first elements of all the ordered pairs of relation R.

the given relation and has x values from -4 to 4 thus, the domain of the relations -4> x> 4.

Therefore, the relation has the domain of -4> x> 4 and the given relation is continuous for the given range.

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A, B, C and D form the vertices of a parallelogram.
AD = 10.1cm, AB = 15.9cm and

BAD = 61°.
Find the area of the parallelogram. Round to 1 DP

Answers

The answer would be 160.6cm squared (this is rounded from 160.59)

To find the area of a parallelogram, you multiply length by width.

The side AB-10.1 * side AB-15.9 = 160.59cm squared.

Hope this helped!

find the value for x that makes the equation true.
4x +2x + 12 =3(3x + 6)

Answers

Answer :

x = -2

-8 + -4 + 12 = 3(-6 + 6)

Im not sure

A. Find the probability of getting a five card hand that has three Jacks and two Queens. Round your answer to six decimal places.

b. A five card hand, where four of the cards are the same, i. E. Four Aces, or four Kings, etc. , is called getting a "four of a kind". What is the probability of getting a "four of a kind"? Round your answer to five decimal places

Answers

The probability of getting: A. a five-card hand that has three Jacks and two Queens is 0.000009, or 0.000923% and B. a "four of a kind" is 0.00024, or 0.02401%.

A. The probability of getting a five-card hand that has three Jacks and two Queens can be calculated by using the formula:
P(3 Jacks and 2 Queens) = C(4,3) x C(4,2) / C(52,5)
Where C(n,k) is the combination of n items taken k at a time.

= (4 x 6) / 2598960
= 24 / 2598960
= 0.00000923

Therefore, the probability of getting a five-card hand that has three Jacks and two Queens is 0.000009, or 0.000923% when rounded to six decimal places.

B. The probability of getting a "four of a kind" can be calculated by using the formula:
P(four of a kind) = (C(13,1) x C(4,4) x C(12,1) x C(4,1)) / C(52,5)

= (13 x 1 x 12 x 4) / 2598960

= 624 / 2598960
= 0.00024010

Therefore, the probability of getting a "four of a kind" is 0.00024, or 0.02401% when rounded to five decimal places.

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To indirectly measure the distance across a lake, Katherine makes use of a couple landmarks at points LL and MM. She measures KNKN, NLNL, and NONO as marked. Find the distance across the lake (LM)(LM), rounding your answer to the nearest hundredth of a meter.

Answers

The required distance across the lake (LM) is 205 m.

What are Similar triangles?

Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.

Here,

As from the figure,

Triangle KLM is similar to triangle KNO so,
KL/KN = LM/NO
180+70/180 = LM/147.6
LM = 205 m

Thus, the required distance across the lake (LM) is 205 m.

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I can’t figure it out

Answers

Answer:

Step-by-step explanation:

x/y=(5/6)/(3/4) = 5/6*4/3 = 10/9

x/y=10/9

y/x=9/10

y=9/10 * x

Second option

Answer:

y=5/8x

Step-by-step explanation:

Given f(x)=-5x-3, find f-^1(x).

Answers

The inverse of the given function f(x) = -5x-3, is f⁻¹(x) = -x/5-3/5

What is an inverse function?

An inverse function is a function that undoes the action of the another function. A function g is the inverse of a function f if whenever y=f(x) then x=g(y).

Given that a finction f(x) = -5x-3, we need to find the inverse of the function,

We can write,

y = -5x-3,

Interplace, x and y,

x = -5y-3

-5y = x+3

y = -(x+3)/5

y = -x/5-3/5

f⁻¹(x) = -x/5-3/5

Hence, the inverse of the given function f(x) = -5x-3, is f⁻¹(x) = -x/5-3/5

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(Compound Interest and Geometric Sequences ) The equation, A equal to P quantity 1 plus 0.054 over 2 end quantity all raised to the power of 2 times t, represents the amount of money earned on a compound interest savings account with an annual interest rate of 5.4% compounded semiannually. If the initial investment is $3,000, determine the amount in the account after 15 years. Round the answer to the nearest hundredths place. $3,164.19 $6,671.67 $4,473.81 $14,532.47

Answers

The amount in the account after 15 years after round of to the nearest hundredth is $6,671.67, the correct option is B.

How to find the compound interest?

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

We are given that;

The amount earned is A equal to P quantity 1 plus 0.054 over 2 end quantity all raised to the power of 2 times t

Rate of compound interest= 5.4%

Investment= $3000

Time= 15years

Now,

A = 3000(1+0.054/2)^2*15

A = 3000(1+0.054/2)^30

A = $6,671.67

So, amount = principal + interest

Principal = $3,000.00

Interest = $3,671.67

=$6,671.67

Therefore, the compound interest will be $6,671.67

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What is the surface area of a rectangular prism if the digits are 10ft, 1ft, and 5ft

Answers

The surface area of the rectangular prism is 130ft^2.

Determine surface area

The surface area of a rectangular prism can be calculated by finding the area of each of the six faces and then adding them together.

The formula for the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.

In this case, the length is 10ft, the width is 1ft, and the height is 5ft. Plugging these values into the formula, we get:

Surface area = 2(10ft)(1ft) + 2(10ft)(5ft) + 2(1ft)(5ft)

Surface area = 20ft^2 + 100ft^2 + 10ft^2

Surface area = 130ft^2

Therefore, the surface area of the rectangular prism is 130ft^2.

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Convert 0.807 to a fraction in simplest form and a percent.

Answers

Fraction: 807/1000

Percent: 80.7 %

What type of graph is shown, and what is the growth factor?
linear function; growth factor of 2
linear function; growth factor of 4
exponential function; growth factor of 2
exponential function; growth factor of 4

Answers

The graph is a linear function with a growth factor of 4

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The graph has the shape of a straight line, so it is linear.

The graph starts at point (0, 0). It passes through point (1, 4).

slope = 4/1 = 4

The slope is 4. Growth factor is the same as slope for a linear function.

Hence, the graph is a linear function with a growth factor of 4

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Quadrilateral MNOP is similar to quadrilateral QRST. Find the measure of side RS.
Figures are not drawn to scale.

Answers

The measure of side RS is 7.6 units .

Similar quadrilaterals:

A quadrilateral's interior angles add up to 360 degrees. Two quadrilaterals are said to be identical when two adjacent sides have the same ratio and all three matching angles are equal (the fourth angle automatically becomes equal because the internal angle sum equals 360 degrees).

The corresponding angles of similar quadrilaterals should be equal in accordance with the similarity of quadrilaterals. Since we know that every angle in a square is 90 degrees, every matching angle in any two squares will be the same.

In the given question ,

Quadrilateral MNOP is similar to quadrilateral QRST .

[tex]\frac{ON}{NM} =\frac{RS}{RQ} \\\\\frac{2}{4} = \frac{RS}{15.2} \\\\\frac{1}{2} =\frac{RS}{15.2} \\\\RS=\frac{15.2}{2} \\\\RS=7.6units[/tex]

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5) Imani and lea are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Imani sold 2 rolls of plain wrapping paper and 11 rolls of holiday wrapping paper for a total of $208. Lea sold 11 rolls of plain wrapping paper and 9 rolls of holiday wrapping paper for a total of $320. What is the cost each of one roll of plain wrapping paper and one roll of holiday wrapping paper?

Answers

Answer: Let's represent the cost of one roll of plain wrapping paper as x, and the cost of one roll of holiday wrapping paper as y. We can write two equations based on the information given:

2x + 11y = 208

11x + 9y = 320

We can use these equations to find the values of x and y. Solving the first equation for y:

y = (208 - 2x) / 11

We can substitute this expression for y into the second equation to eliminate y:

11x + 9((208 - 2x) / 11) = 320

11x + 208 - 18x / 11 = 320

11x - 18x / 11 = 320 - 208

-7x / 11 = 112 / 11

-7x = 112

x = -16

So one roll of plain wrapping paper costs -16 dollars, which is not possible. This means there is no solution for this system of equations, and therefore the problem has no solution.

Step-by-step explanation:

how to find the missing dimension of. a cone when the when the highest s 4.2 and the volume is 3.6 cubed

Answers

To find the missing dimension of a cone when the height is 4.2 and the volume is 3.6 cubed is to equate the general formula with the given information.

What is a cone?

A cone is a three-dimensional geometric shape with a smooth and curving surface and a flat base, with an increase in the height radius of a cone decreasing to a certain point.

The volume of a cone is (1/3)πr²h.

The total surface area of a cone is πr(r + l).

The curved surface area is πrl.

To obtain the missing dimension of a cone we must equate the general formula for the volume of a cone to the given information.

Therefore, (1/3)πr²×4.2 = 3.6

(1/3)πr² = 0.86.

r² = 0.86/1.05.

r² = 0.82.

r = 0.9

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How to solve your problem: 8d+d+3d+2+4d

Answers

Answer:

d= -1/8

Step-by-step explanation:

8d+d+3d+2+4d= 16d+2

16d= -2

d= -1/8

A brownie recipe calls for 1 cup of butter for every 2 cups of flour. Erika is using 8 cups of flour. How much butter should she use?

Answers

4 cups of butter

8/2 = 4 , so she’d use 4 cups of butter

Help w/ this question its due today!

Answers

The 40th customer who gets the t-shirt and water bottle.

If the sporting goods store has 100 gifts each in stock, then the number of customers who get t-shirts and drinking bottles are 2 customers, namely the 40th customer and the 80th customer.

Determine the LCM(Least Common Multiples)

In finding the LCM, we also use prime factorization, namely multiplying all the factor numbers and if there are the same, take the largest value, if both are the same, then take one of them.

For example, determine the LCM of 30 and 48

30 = 2 x 3 x 5

48 = 2 x 2 x 2 x 2 x 3 = 2⁴ x 3

The LCM of 30 and 48 is 2⁴ x 3 x 5 = 240

The above Question can be solved with the concept of LCM

where the 8th customer gets a T-shirt and the 10th customer gets a water bottle. To find out which customer gets the two gifts, then look for LCM from 8 and 10

LCM(8, 10) =2×2×2×5=40

LCM of 8 and 10 is 40.

So the 40th customer who gets the t-shirt and water bottle.

If the store has 100 gifts each in stock, then the number of customers who get t-shirts and drinking bottles are 2 customers, namely the 40th customer and the 80th customer.

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Abbie has put $40 into her savings account. She has made 5 deposits of the same amount. How much was the amount of each deposit?

Answers

The amount of each deposit that Abbie made was $8

Calculate amount of deposit

The amount of each deposit that Abbie made can be found by dividing the total amount she put into her savings account by the number of deposits she made.

In this case, we can use the formula: Amount of each deposit =

Total amount / Number of deposits

Substituting the given values into the formula, we get:

Amount of each deposit = $40 / 5

Amount of each deposit = $8

Therefore, the amount of each deposit that Abbie made was $8. In conclusion, if Abbie has put $40 into her savings account and has made 5 deposits of the same amount, then the amount of each deposit is $8.

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solve for v. 4v-18=6(v-6)

Answers

Answer:

v = 9

Step-by-step explanation:

4v - 18 = 6(v - 6)

1.) Distribute 6 into the parenthesis

4v-18 = 6v - 36

2.) Move 6v to the other side by subtracting from both sides

4v - 6v -18 = -36

3.) Move 18 to the other side by adding 18 on both sides

4v - 6v = 18 + -36

4.) Combine like terms

-2v = -18

5.) Divide -2 on both sides to get v by itself

v = 9

Answer:

the answer is 9

Step-by-step explanation:

4v-18=6(v-6)

4v-18=6v-36

4v-6v= -36+18

-2v= -18

divide both sides by -2

v=9

SMENT UNIT 22 SY23 / SECTION 1/1 OFS /
Kane Laboratories is studying the impact of various enriched growth mediums on different bacteria. They
are currently studying the impact of placing Bacillus Megaterium into a culture of sucrose salts. The table
below shows the growth rate of the bacteria during the growth phase. The generation time for Bacillus
Megaterium is 25 minutes in this culture.
Generation
Number, n
Bacteria
Population, P
B. P (n) = 12+2n
OC. P (n) = 12 (n+1)
OD. P (n) = 12-4-1
0
12
1
24
2
3
48 96
4
20%
192
Which function models the growth of the Bacillus Megaterium over each generation?
O A P (n) = 12-2

Answers

The function that models the growth of the Bacillus Megaterium over each generation is B. P (n) = 12 + 2n.

What is the symbol 1 to 10?

Answers

I think that’s the answer

on a linear graph, this is called the

Answers

You didn’t include a photo but i have this hope this helps

(Answer for 30 points) Penelope is collecting coins to raise money for a charity so far she collected

• twice as many dimes as quarters

• 4 times nickels than dimes, and

• three times as many pennies as quarters

If Penelope has collected 780 coins, how many of each type of coin she collected.

Answers

Penelope has, 52quarters, 104 dimes, 416 nickels, and 162 pennies.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

From the given information let, 'x' be the number of quarters,

Therefore, Dimes is 2x, Nickels is 8x and Pennies is 3x.

So, x + 2x + 8x + 4x = 780.

15x = 780.

x = 52, The number of quarters.

2×52 = 104, The number of Dimes.

8×52 = 416 Nickels.

3×52 = 162 Pennies.

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Triangle rst is congruent to triangle wxy. If the area of triangle wxy is 20 square inches, then the area of triangle rst is _____. 10 in 2 40 in 2 80 in 2 20 in 2.

Answers

Triangle rst is congruent to triangle wxy. If the area of triangle wxy is 20 square inches, then the area of triangle rst is 20 square inches.

When two triangles are congruent, it means that they are exactly the same in every aspect, including their size and shape. This means that their corresponding sides and angles are equal in length and measure, respectively.

In terms of area, if two triangles have the same shape and size, then they will have the same area. This is because the area of a triangle is determined by the length of its sides and the angles between them, and if two triangles are congruent, then their sides and angles are equal.

Therefore, if the area of triangle WXY is 20 square inches, then the area of triangle RST must also be 20 square inches. This is because triangle RST has the same size and shape as triangle WXY, and therefore must have the same area.

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Use the formula d = rt. Find r for t = 5h and d = 240 m.

Answers

The value of the variable r  when t = 5h and d = 240m is 48m/h

What are algebraic expressions?

Algebraic expressions are described as expressions that are composed of terms, variables, factors, coefficients and constants.

They are also made up of mathematical operations like subtraction. division, addition, multiplication, floor division, etc

From the information given, we have the equation;

d = rt

Make 'r' the subject of formula

r = d/t

Now, substitute the values into the equation, we get

r = 240/5

Divide the values

r = 48m/h

Hence, the value is 48m/h

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Write a ratio for each scenario using a colon(:).

1. Two cookies per student. __:__


2. The odds of the horse winning the race are 2 to 5. __:__


3. Colorado State University, there are 4 female students for every 3 male students. __:__



PLEASE BE ACCURATE!!! THANK YOU!!!

Answers

Answer:

2:1

2:5

4:3

Step-by-step explanation:

In these examples the comparison words "per", "to", "for every" is the colon.

Then just put the numbers in the same order they are in in the problem

1. Two cookies per student. __:__

Means 2 cookies per 1 student

We're writing the ratio

cookies:students

2:1

2. The odds of the horse winning the race are 2 to 5. __:__

The "to" is the colon

2:5

3. Colorado State University, there are 4 female students for every 3 male students. __:__

We are comparing

female:male

4:3

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Consider the solid obtained by rotating the region bounded by the given curves about the y-axis.x=33y,x=0,y=5Find the volume Vof this solid. Sketch the region, the solid, and a typical disk or washer. What is the main idea of pragmatism? Which of the following statements concerning the development of Russia and Japan to 1900 is NOT accurate?A) Neither Russia nor Japan rivaled the industrial might of the West by 1900.B) Both nations gained sufficient power to wield important political and military influence in the colonial scramble.C) Russia and Japan did launch significant industrialization by 1914.D) Both Russia and Japan achieved economic autonomy and a share in the West's core position.E) Japan outstripped Russia's industrial gains by 1900. A shadow 30 meters long is cast by a fir tree that is 16 meters tall. If a nearby maple tree is 8 meters tall, then how long will the maple tree's shadow be? Even when shut down after a period of normal use, a large commercial nuclear reactor transfers thermal energy at the rate of 150 MW by the radioactive decay of fission products. This heat transfer causes a rapid increase in temperature if the cooling system fails (1 watt = 1 joule/second or 1 W = 1 J/s and 1 MW = 1 megawatt).(a) Calculate the rate of temperature increase in degrees Celsius per second (C/s) if the mass of the reactor core is 1.60105kg and it has an average specific heat of 0.3349 kJ/kgC.(b) How long would it take to obtain a temperature increase of 2000C, which could cause some metals holding the radioactive materials to melt? (The initial rate of temperature increase would be greater than that calculated here because the heat transfer is concentrated in a smaller mass. Later, however, the temperature increase would slow down because the 5105-kg steel containment vessel would also begin to heat up.) What different communication techniques are used in different types of relationships? Wilderness wasnt a handicap for americans because of their advantages. True/False ? circulation of heat in the oceans and atmosphere is an example of energy movement through _________________. what is the balloon car project? The menu mark showing a milk carton with a line through it indicates what? The long, thin fiber that extends from the body of one neuron to other neurons, muscles, or glands is known as the what is 65kgs in lbs ? The motion of the kangaroo is under free-fall. We are looking for the initial velocity, and we know that the velocity in the highest position is zero.Fromv2=(v0)2+2ay,v 2=(v 0) 2+2ay,we havev2=(v0)2+2ayv22ay=(v0)2v0=v22ayv 2v 22ayv 0=(v 0) 2+2ay=(v 0) 2= v 22aySubstituting the known values,v0=v22ayv0=022(9.81m/s2)(2.50m)v0=7.00m/sv 0v 0v 0= v 22ay= 0 22(9.81m/s 2)(2.50m)=7.00 m/sTherefore, the vertical speed of the kangaroo when it leaves the ground is 7.00 m/s.Part BSince the motion of the kangaroo has uniform acceleration, we can use the formulay=vt+12at2y=v ot+ 21at 2The initial and final position of the kangaroo will be the same, so y is equal to zero. The initial velocity is 7.00 m/s, and the acceleration is -9.81 m/s2.y=v0t+12at20=(7.00m/s)t+12(9.81m/s2)t20=7t4.905t27t4.905t2=0t(74.905t)=0t=0or74.905t=0y007t4.905t 2t(74.905t)t=0=v 0t+ 21at 2=(7.00 m/s)t+ 21(9.81 m/s 2)t 2=7t4.905t 2=0=0or74.905t=0Discard the time 0 since this refers to the beginning of motion. Therefore, we have74.905t=04.905t=7t=74.905t=1.43s74.905t4.905ttt=0=7= 4.9057=1.43 sThe kangaroo is about 1.43 seconds long in the air. How to find a vector equation and parametric equations for the line segment that joins p to q? what is bottleneck effect definition ecology what is viper lineups bind Write a program in c that reads a list of integers, and outputs whether the list contains all multiples of 10, no multiples of 10, or mixed values. Define a function named IsArrayMult10 that takes an array as a parameter, representing the list, and an integer as a parameter, representing the size of the list. IsArrayMult10() returns a boolean that represents whether the list contains all multiples of ten. Define a function named IsArrayNoMult10 that takes an array as a parameter, representing the list, and an integer as a parameter, representing the size of the list. IsArrayNoMult10() returns a boolean that represents whether the list contains no multiples of ten.Then, write a main program that takes an integer, representing the size of the list, followed by the list values. The first integer is not in the list. Assume that the list will always contain less than 20 integers.Ex: If the input is:5 20 40 60 80 100the output is:all multiples of 10Ex: If the input is:5 11 -32 53 -74 95the output is:no multiples of 10Ex: If the input is:5 10 25 30 40 55the output is:mixed valuesThe program must define and call the following two functions. IsArrayMult10 returns true if all integers in the array are multiples of 10 and false otherwise. IsArrayNoMult10 returns true if no integers in the array are multiples of 10 and false otherwise.bool IsArrayMult10(int inputVals[], int numVals)bool IsArrayNoMult10(int inputVals[], int numVals) True or false a square is a parallelogram what does a scientist need to know to figure out the absolute age of a rock? Which of the following has most contributed to networks' use of sound bites in coverage of politicians' speeches?a. Viewers' attention spans have decreased.b. Technological advances have made it easier to create sound bites.c. The FCC has imposed tighter restrictions on political coverage.d. Politicians have made their speeches shorter.