factor completely x^3-8x^2-2x+16=

Answer:

No solution

Step-by-step explanation:

There are no values of  x  that make the equation true.

The given expression has no solution at all because (-5x) on both sides get cancel out.

Answer:

13.25

Step-by-step explanation:

1. you have to subract the cost of the drink:

94.25-1.50=92.75

2.you have to divide to get the individual cost of pizzas by doing

92.75÷7=13.25

so therefore your answer is 13.25 per pizza

Answer:

25°C

Step-by-step explanation:

Since the question asks for in degrees Celsius, we look at the purple section (the lower half of the thermometer)

The red line goes right in between 20 and 30 giving us our answer of 25

The solution of the complex function is ( 71- 8i ) / (16 +8i).

The area of mathematical analysis that studies functions of complex numbers are known as complex analysis, often known as the theory of functions of a complex variable.

Given that the function is ( 2 -7i) / ( 4 - 9i). The complex function will be solved as below:-

E = ( 2 -7i) / ( 4 - 9i)

E = ( 2 -7i) x ( 4 + 9i ) / ( 4 - 9i) x ( 4 + 9i )

E = ( 8 - 8i + 63 ) / ( 4 - 9i )²

E = ( 71 - 8i ) / ( 16 - 8i )

Therefore, the solution of the complex function is ( 71- 8i ) / (16 +8i).

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area=99

perimeter=40

Step-by-step explanation:

9×11=99

9+9+11+11=40

Answer:

50.24 units^2

Step-by-step explanation:

I'm assuming what half line means is radius so radius is 4.

The area formula is πr^2.

π(4)^2

3.14(4)^2

3.14x16=50.24

Area= 50.24 units^2

Answer:

False

Step-by-step explanation:

This is false although most prime numbers are not divisible two, but there is one exception to this... the number 2! The number 2 is prime and is divisible by 2. All other prime numbers cannot be divisible by 2 otherwise they would not be prime as prime numbers are only divisible by 1 and the number it self (this excludes 1).

Answer:

its 2 the negative cancles out

Step-by-step explanation:

Answer:

Step-by-step explanation:

step 1

100%/the total number = percent for one probability

100/5 = 20%

2 and 4 is even.

total even number * percent for one probability = total percent for even number

20% * 2 = 40%

therefore total even number is 40%

The probability is:

Step-by-step explanation:

Remember the formula for probability:

\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)

In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.

As for the total outcomes, there are 5 of them, because we have 5 numbers total.

So the probability of choosing an even number is 2/5.

Answer:

sqrt (75) lies between 8 and 9 and is closer to 9

Step-by-step explanation:

Answer:

42 m^2

Step-by-step explanation:

Answer:

39 meters squared

Step-by-step explanation:

i dont care if i got it wrong because i am a geniuds yhsnkd thanks

Answer:

Just wanted to say that i wish you good luck!

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

formula=b.x/2

15x12=180/2=90

Answer:

Step-by-step explanation: lkwjdbnw;kljfr'h;efjgnae;gjnqe'fgnsf;jgn;efjn;jfn;jf;jfd;jfnn;gkjnf;jn;kgjnef;kjefgnjef;kj;qfekjg;wefkjn;fkjgnqdf;gnefg;jkeng;kejrgn;krjgn;rgj n;jkgnrg;jen;fmnfg;jerng;jnfmgn;lerjqng;eqjrgn;jrng;jerng;kejrn;kgjne;kjrgne;krjgner;qjgn;jgnv;kjfgne;rjgkdmfn;lkfm;lkrmg;leqtkhmyointh'lktnh'lktnh;efngigfegkfg;kjfvisdkskkokrewnjsgn;rgjn;tgnhjflhjngtlhjnrqgkhljnlkjnfblkjnflkjnfgkljnfgljknfljkdnlskjafgnlkfjgn;efjdngkajefnglkajefgn;akjrtn;kjbnf;kjbn;rgkjnhtgr;kjfn;bkjngblkjnb;dfnlbkjsbnkjnlkfejnlefgujbfljbnfjknf;jfnb;dskjgbn;jkgbn;dfjbng;kbjngbjkng;bkjsgnbf;kjsgn;sjgn;jn;kfjgn;bgjnfg;bkjnbg;jngb;kjfbn

Answer:

67 adult tickets

35 student tickets

Answer:

29 day) $15.00

30 day $15.00

31 day $15.00

The cost was the same for all three days

Step-by-step explanation:

Rover = 3/4 can

Bobo = 1/2 can

29(3/4) + 29(1/2) = 21.75 + 14.5 = 36.25 cans

36.25/3 = 12.08

must buy 4 packs of 3 at $5.00 each = $15.00

30(3/4) + 30(1/2) = 22.5 + 15 = 37.5 cans

37.5/3 = 12.5

must buy 4 packs of 3 at $5.00 each = $15.00

31(3/4) + 31(1/2) = 23.25 + 15.5 = 38.75 cans

38.75/3 = 12.92

must buy 4 packs of 3 at $5.00 each = $15.00

By placing the given value in equation , we get u + v - 4u = (-20, 13)

A physical quantity that has both directions and magnitude is referred to as a vector quantity.

A lowercase letter with a "hat" circumflex, such as "û," is used to denote a vector with a magnitude equal to one. This type of vector is known as a unit vector.

To evaluate u + v - 4u, we first need to find the vector 4u, which is obtained by multiplying the vector u by the scalar 4:

4u = 4(5,-2) = (20,-8)

Now, we can add u and v, and subtract 4u from the result:

u + v - 4u = (5,-2) + (-5,7) - (20,-8)

= (5 - 5 - 20, -2 + 7 + 8)

= (-20, 13)

Therefore, u + v - 4u = (-20, 13).

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Answer in the picture.

Answer:

6.875° C

the mean of a set of data is calculated using

mean =

For the first 7 days the mean is 8 and the count = 7

8 =  ( cross- multiply )

sum = 8 × 7 = 56

Add on the temperature on the 8 th day to the sum and divide by 8 for mean

sum = 56 - 1 = 55

mean =  = 6.875° C

2nd question

Height of marble from the ground

An independent variable is the variable in an experiment that you change to see if it has an effect on the dependent variable. In this case, Jack wanted to see whether the position of the marble on the ramp (which would be the height) has an effect on the kinetic and potential energy of the marble, then the height would be the independent because it is what is being changed.

The dependent would be the kinetic and potential energy and the constant would be the type of marble.

Sidney will use 57 cups of soda for 19 cups of ice cream.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

From the table,

The ratio of cups of ice cream to cups of soda.

3.5 cups ice cream = 10.5 cups of soda

Divide both sides by 3.5.

1 cup of ice cream = 3 cups of soda

Multiply 19 on both sides.

19 cup of ice cream = 57 cups of soda

Thus,

57 cups of soda.

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Answer:

1.5 cookies if 2/8 is like 2 cookies out of 8, 1/16 if its like 2/8 of a cookie

Step-by-step explanation: \

1.5: 2 x 3/4 (already ate 1/4) = 1.5

1/16= 1/4 (2/8 reduced)  x 1/4

Using the decay constant on the exponential function, the mass of the sample that will be left in 2013 is 35g

An exponential function is a function that can be expressed in the form     f(x) = b^x, where b is a positive real number and x is a real number. The graph of an exponential function is a curve that increases or decreases rapidly as x increases or decreases.

In the exponential decay, the decay function can be given as;

y = ae⁻ⁿˣ

The disintegration constant is also know as the rate of decay and we can calculate it as;

260 = 470e⁻ⁿ⁽³⁾

n = 0.197

n = 0.2

The disintegration constant is 0.2

The amount left in 2013 will be;

y = 470e⁻⁽⁰.²⁾⁽¹³⁾

y = 34.90

The mass in 2013 is 35g

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A polynomial function f(x) of degree 3 with given zeros, 2, -3 , 5 and condition f(3)=6 is given by f(x) = -1/2 (x-2)(x+3)(x-5).

Degree of the polynomial function is equal to 3.

Zero's of the polynomial function is equal to 2, -3 , 5 .

And f(3) = 6

If 2, -3, and 5 are zeros of f(x), then we can write function as,

f(x) = a(x-2)(x+3)(x-5)

where a is some constant.

To determine the value of a, we can use the fact that f(3) = 6.

Substituting x = 3 into the equation above, we get,

f(3) = a(3-2)(3+3)(3-5)

     = -12a

Here we have,

f(3) = 6, so we can set these two expressions equal to each other and solve for a,

⇒ -12a = 6

⇒ a = -1/2

Now we can substitute this value of a back into the equation for f(x) that we found earlier,

⇒ f(x) = -1/2 (x-2)(x+3)(x-5)

Therefore, a polynomial function f(x) of degree 3 with zeros 2, -3, 5, and f(3) = 6 is equal to f(x) = -1/2 (x-2)(x+3)(x-5).

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The surface area of the prism is 248.88 cm²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of a prism is expressed as;

SA = 2B + ph

where h is the height of the prism, B is the base area of the prism and P is the perimeter of the base.

Base area = 61.94 cm²

height = 5cm

perimeter = 5 × 5 = 25cm

SA = 2 × 61.94 + 25 × 5

SA = 123.88+ 125

SA = 248.88 cm²

Therefore the surface area of the prism is 258.88 cm²

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

Heyo! Your explanation is below, if necessary.

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

If it's 51 miles per hour, simply multiply the distance by the number of hours.

51 x 6 = 306

51 x 55/60 = 46.75

Now, add the products.

306 + 46.75 = 352.75

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Have a great day/night!

~pinetreee :)

The baby is 105.6  ounces or 6.96 pounds lighter than an average baby.

Weight is the measurement of Gravitational force on an object. It can be zero as in the space.

We are given in the question that A baby weighed only 14.4 ounces at birth the weight of an average baby is 7lb 8 ounces.

1 lb = 16 ounce

Therefore an average baby weight = 7 x 16 + 8 = 120 ounces

The baby weight is just 14.4 ounces

Hence, the baby is 120 - 14.4 = 105.6 ounces lighter than an average baby.

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Answer:

81x^(2)-1

Step-by-step explanation:

Rewrite 81^(2) as (9x)^(2)

Rewrite 1 as 1^(2)

Since they are perfect squares , factor using the perfect squares formula

(9x + 1) (9x - 1)

Answer:

Choice 3: [0, 2]

Step-by-step explanation:

The Intermediate Value Theorem states that if we have a continuous function f over the interval [a, b] and k is a number between f(a) and f(b), then there must at least one point c within [a, b] such that f(c)=k.

Then, by the IVT, if the endpoints differ in signs, then we must have a zero within the interval since f must cross the x-axis in order to change signs.

So, we will test the endpoint values for each interval.

We have the function:

\(f(x)=-2x^3-2x+5\)

Choice 1:

Testing for the endpoints, we get:

\(\begin{aligned} f(-3)&=-2(-3)^3-3(-3)+5\\&=68\end{aligned}\)

And:

\(\begin{aligned} f(-2)&=-2(-2)^3-3(-2)+5\\&=27\end{aligned}\)

Since both values are positive, we are not guaranteed a zero for the interval [-3, -2].

Choice 2:

Testing endpoints, we get:

\(f(-2)=27\text{ and } f(0)=5\)

Again, both values are positive, so we are not guaranteed a zero.

Choice 3:

We get:

\(f(0)=5\text{ and } f(2)=-17\)

Since the values are of different signs, by the IVT, we are guaranteed a zero by for the interval [0, 2] since the function must cross the x-axis in order to become negative.

So, Choice 3 is correct.

Choice 4:

We get:

\(f(2)=-17\text{ and } f(4)=-135\)

Both values are negative, so we are not guaranteed a zero.

Note: We may have a zero for the other three intervals. For instance, for [-3, -2], maybe we went from positive to negative to positive again all within the interval [-3, -2]. However, the only interval that guarantees a zero will be C.