how many are 2 raised to 5 ???​

Answer:

63 and 53

Step-by-step explanation:

you could use trail and error. So:

13+23=9

33+43=91

63+73=559

53+63=341

Answer:

4¹⁸

Step-by-step explanation:

(4⁻³)⁻⁶

= 4⁽⁻³⁾⁽⁻⁶⁾

= 4¹⁸

Answer:

[tex]\large \boxed{4^{18}}[/tex]

Step-by-step explanation:

When a base with an exponent has an whole exponent outside the parenthesis, we multiply the exponents.

[tex](4^{-3})^{-6}[/tex]

[tex]4^{-3 \times -6}[/tex]

[tex]4^{18}[/tex]

Answer:

Step-by-step explanation:

let the cost based on number of book bought be x and the constant be c:

4800 = 20x + c

8000 = 40x + c

c is common in both equations:

c =4800-20x

c = 8000-40x

equate the two:

4800-20x = 8000 - 40x

20x = 3200

x = 160

and c = 4800-20*160

c = 1600

Cost of 1000 books:

160*1000 + 1600

= 161600

Answer:

[tex]slope=0[/tex]

Step-by-step explanation:

Use the slope formula:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}[/tex]

Rise over run is the change in the y-axis over the change in the x-axis from one point to the other. This is also known as the "slope".

Insert the values:

[tex](-1_{x1},2_{y1})\\\\(2_{x2},2_{y2})\\\\\frac{2-2}{2-(-1)}\\\\\frac{2-2}{2+1}\\\\[/tex]

Simplify:

[tex]\frac{2-2}{2+1}=\frac{0}{3} =0[/tex]

The slope of the line is 0. This means that the two points lie on the same horizontal line.

:Done

Answer:

Hey there!

We have that 4/5, or 80% of the 60 students passed the exam.

Thus, we have:

0.8(60)=48

48 students passed the exam.

Let me know if this helps :)

Answer:

25.13

Step-by-step explanation:

Answer:

C ≈ 25.13 feet

Step-by-step explanation:

A = πr²

16π = πr²

divide by π

16 = r²

r = 4

plug r into circumference equation:

C = 2πr

C = 2π(4)

C ≈ 25.13

hope this helps :)

Answer:

8x

Step-by-step explanation:

Using differentiation from first principles

f'(x) = [tex]lim_{h>0}[/tex]  [tex]\frac{f(x+h)-f(x)}{h}[/tex]

      = [tex]lim_{h>0}[/tex] [tex]\frac{4(x+h)^2-2-(4x^2-2)}{h}[/tex]

      = [tex]lim_{h>0}[/tex]  [tex]\frac{4x^2+8hx+4h^2-4x^2+2}{h}[/tex]

      = [tex]lim_{h>0}[/tex] [tex]\frac{8hx+4h^2}{h}[/tex]

      = [tex]lim_{h>0}[/tex] [tex]\frac{4h(2x+h)}{h}[/tex] ← cancel the h on numerator/denominator

      = 4(2x)

      = 8x

Answer:

8x

Step-by-step explanation:

Pls I hope this helps

Answer:

C. $128

Step-by-step explanation:

320 x 0.5 = 160

320 - 160 = 160

160 x 0.20 = 32

160 - 32 = 128

There are infinitely many ways to answer this as there is no one single answer to pick from.

The four terms are x^3, 5x^2, 7x and 12. They are separated by the plus signs.

The constant is 12. It does not have any variable attached to it.

Terms 5x^2 and 7x have coefficients of 5 and 7 respectively.

The leading term x^3 has a coefficient of 1, but 1*x^3 = x^3, meaning it's convention to leave the 1 out. So technically x^3 does not have a coefficient directly written/shown. Instead, its more implied.

Answer: 1: Slope 0   Y- Intercept -5

2: Slope 0    Y- Intercept 6

Step-by-step explanation:

Because 9 × 10 equals 90

Then 7×90=7×9×10

Answer:

El móvil B necesita 60 segundos para alcanzar al móvil A y le alcanza una distancia de 2400 metros con respecto al punto de referencia.

Step-by-step explanation:

Supóngase que cada movil viaja en el mismo plano y que el móvil B se localiza inicialmente en la posición [tex]x = 0\,m[/tex], mientras que el móvil A se encuentra en la posición [tex]x = 1200\,m[/tex]. Ambos móviles viajan a rapidez constante. Si el móvil B alcanza al móvil A después de cierto tiempo, el sistema de ecuaciones cinemáticas es el siguiente:

Móvil A

[tex]x_{A} = 1200\,m+\left(20\,\frac{m}{s} \right)\cdot t[/tex]

Móvil B

[tex]x_{B} = \left(40\,\frac{m}{s} \right)\cdot t[/tex]

Donde:

[tex]x_{A}[/tex], [tex]x_{B}[/tex] - Posiciones finales de cada móvil, medidas en metros.

[tex]t[/tex] - Tiempo, medido en segundos.

Si [tex]x_{A} = x_{B}[/tex], el tiempo requerido por el móvil B para alcanzar al móvil A es:

[tex]1200\,m+\left(20\,\frac{m}{s} \right)\cdot t = \left(40\,\frac{m}{s} \right)t[/tex]

[tex]1200\,m = \left(20\,\frac{m}{s} \right)\cdot t[/tex]

[tex]t = \frac{1200\,m}{20\,\frac{m}{s} }[/tex]

[tex]t = 60\,s[/tex]

El móvil B necesita 60 segundos para alcanzar al móvil A.

Ahora, la distancia se obtiene por sustitución directa en cualquiera de las ecuaciones cinemáticas:

[tex]x_{B} = \left(40\,\frac{m}{s} \right)\cdot (60\,s)[/tex]

[tex]x_{B} = 2400\,m[/tex]

El móvil B alcanza al móvil A a una distancia de 2400 metros con respecto al punto de referencia.

Answers:

The +1 in f(x) is the y intercept

The +1 in g(x) is the y coordinate of the vertex

====================================================

Explanation:

For f(x), plugging in x = 0 leads to

f(x) = 2x^2+5x+1

f(0) = 2(0)^2+5(0)+1

f(0) = 1

Showing that (0,1) is the y intercept of f(x).

The same is not true for g(x)

g(x) = 2(x+5)^2+1

g(0) = 2(0+5)^2+1

g(0) = 51

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

The +1 for g(x) represents the y coordinate of the vertex. Recall that vertex form in general is

y = a(x-h)^2+k

with (h,k) being the vertex. This means we can quickly spot the vertex for g(x) without having to graph. The same cannot be said for f(x) as we need to complete the square to get f(x) into vertex form. Currently, f(x) is in standard form.

Answer:

( 0,0) and (3,0)

Step-by-step explanation:

y=(2x(x-3))/(x-1)

Set y = 0

0 =(2x(x-3))/(x-1)

Multiply each side by x-1, which makes x not equal to 1

0 =(2x(x-3))

Using the zero product property

2x=0  x-3 =0

x=0   x= 3

The x intercepts are x=0   x= 3

( 0,0) and (3,0)

Step-by-step explanation:

We need to say that [tex]9^{3/4}[/tex] is equivalent to what.

We know that, (3)² = 9

So,

[tex]9^{3/4}=((3)^2)^{3/4}\\\\=3^{3/2}[/tex]

We can write [tex]3^{3/2} =3\times 3^{1/2}[/tex]

And [tex]3^{1/2}=\sqrt{3}[/tex]

So,

[tex]3\times 3^{1/2}=3\sqrt{3}[/tex]

So, [tex]9^{3/4}[/tex] is equivalent to [tex]3\sqrt{3}[/tex].

Hence, this is the required solution.

Answer:

a = 1

Step-by-step explanation:

Given that both ax³ + 3x² - 3 and 2x³ - 5x + a have the same remainder when divided by x - 4.

x - 4 = 0

x = 4

When ax³ + 3x² - 3 is divided by x - 4, the remainder is gotten by substituting x = 4:

a(4)³+3(4)²-3 = 64a + 48 - 3 = 64a + 45

The remainder is 64a³ + 45

For 2x³ - 5x + a we find the remainder by substituting x = 4:

2(4)³ - 5(4) + a = 128 - 20 + a = 108 + a

Since they both have the same remainder, therefore:

64a + 45 = 108 + a

64a - a = 108 - 45

63a = 63

a = 1

Answer:

Option (D)

Step-by-step explanation:

Option (A).

3x⁵ - 2x³

There are two terms with the variable 'x' in the given expression. therefore, it's a binomial with no constant term.

Option (B).

x⁵ - 3x² + 5x

This expression has three terms with variable 'x'.

Therefore, it's a trinomial without no constant term.

Option (C).

7x⁶ + 2x⁴ - x³ + 7

It's a quadrinomial having 4 terms. '7' is the constant term in the given expression.

Option (D).

4x² + x³ - 3 ≈ x³ + 4x² - 3

It's a trinomial with a constant term 3.

Therefore, Option (D) is the answer.

Answer:

3.  Intersect at exactly one point.  ( (2/3), (-2/3) )

Step-by-step explanation:

To make the comparison of these lines easier, let's rewrite the 2nd equation into slope-intercept form, as the 1st equation is in slope-intercept form.

[1] y = 2x - 2

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

[2] 6x + 3y = 2 ==> 3y = 2 - 6x ==> y = -2x + (2/3)

[2] y = -2x + (2/3)

So now that we have both equations in slope-intercept form, we can see that the two equations are both linear, have different slopes, and have different y-intercepts.

Since these equations have both different slopes and different y-intercepts, we know that the lines will cross at least one point.  We can confirm that the lines only cross at a single point using the fact that both equations are linear, meaning there will only be one point of crossing.  To find that point, we can simply set the equations equal to each other.

y = 2x - 2

y = -2x + (2/3)

2x - 2 = -2x + (2/3)

4x = (8/3)

x = (8/12) = (2/3)

And plug this x value back into one of the equations:

y = 2x - 2

y = 2(2/3) - 2

y = (4/3) - (6/3)

y = (-2/3)

Thus these lines only cross at the point ( (2/3), (-2/3) ).

Cheers.

Answer:

I don't understand the question

Answer:

4 pieces

Step-by-step explanation:

Total length of lumber = 9 feet

How many 2 1/4 foot pieces can you cut from this piece of lumber

To find the number of 2 1/4 foot pieces of lumber in a 9 feet of lumber, we will divide the total length of lumber by the length of each piece of lumber

9 ÷ 2 1/4

= 9 ÷ 9/4

= 9 × 4/9

= 36/9

= 4 pieces of lumber

Therefore, 4 pieces of 2 1/4 foot of lumber can be gotten from 9 feet of lumber

The question is not complete, so i have attached it.

Answer:

Option A - The data may not be reliable because there is an outlier.

Step-by-step explanation:

Looking at the question attached and the number of the gorrila vis - a - vis the time to interact, we can see that majority of the time to interact falls between 2.5 and 3.4.

However, we have a time of 8.3 days which is for gorrila 3.

This 8.3 is far higher than the range of the other values. Thus, we have an outlier because an outlier is a value is much more smaller or larger than most of the other values in a set of given data.

Thus, the data may not be reliable because there is an outlier.

Answer:

4 cm

Step-by-step explanation:

Volume is given by area of cross section * height

_______________________________

For condition 1

height = 12 cm

base for area of cross section is 5*8

that is length 8 cm and width 5 cm

thus area of cross section = 5*8 = 40 cm square

volume of milk =  area of cross section* height of milk = 40*12 = 480 cm cube.

_______________________________________________

now milk is turned such that base of area of cross section will

15 by 8

that is length: 15 cm and width : 8 cm

thus area of cross section = 15*8 = 120 cm square

let the depth of milk be x

thus, volume of milk =  area of cross section* height of milk = 120*x

= 120x cm cube

Since milk is in the same container , its volume before and after the change of alignment of container will remain same

thus

120x cm cube = 480 cm

=> x = 480/120 = 4

Thus, depth under given situation will be 4 cm.

Answer:

1. no solution 2. has one solution

Step-by-step explanation:

first you must find the discriminant of each quadratic also remember

if the discriminant is positive  b^{2}-4ac> 0, then the quadratic equation has two solutions.

if the discriminant is equal  b^{2}-4ac= 0, then the quadratic equation has one solution.

if the discriminant is negative  b^{2}-4ac< 0, then the quadratic equation has no solution.

1. the discriminant is [tex]\sqrt{b^2-4ac}[/tex] and when you plug in the numbers you get -55 which is less than 0

2. the discriminant is 0 so there is one solution

Answer:

1. has no real roots, no solutions (unless you can have imaginary solutions)

2. touches the x axis in one point, so one solution

Step-by-step explanation:

Answer:

54 degrees

Step-by-step explanation:

Measure of arc DCB is 125*2 = 250.

So, measure of arc BAD is 360-250 = 110.

So, measure of arc AD is 110 - 56 = 54 degrees

Answer:

x = 16

Step-by-step explanation:

The figure shown shows an inscribed angle F and central angle E. Both angles intercept the same arc.

Therefore, angle E is twice the measure of angle F, according to the central angle theorem of a circle.

Thus,

m<E = 2 * m<F

(x + 94)° = 2(55)

We can find the value of x with this equation.

x + 94 = 110

Subtract 94 from both sides

x = 110 - 94

x = 16

Answer:

Step-by-step explanation:

A "difference" indicates subtraction is being used. The difference between these 2 numbers is found the same way we find the distance between 2 points on a number line. Since both the difference and the distance have to be positive numbers, the formula to find it is

|a - b| which is the absolute value of a - b.

If a = -52 and b = -79:

| -52 - (-79) | = | -52 + 79 | = 27 OR

If a = -79 and b = -52:

| -79 - (-52) | = | -79 + 52 | = | -27 | = 27

Answer: $53.95

Step-by-step explanation:

Given: [tex]\mu=0.75[/tex] pounds

[tex]\sigma= 0.2[/tex] pounds

n= 50

Two tailed critical z-value for 90% confidence level = 1.645

Let x be the total amount of food that a cafeteria should have on hand to be 90 percent confident that it will not run out of food .

z-score = [tex]\dfrac{x-\mu}{\sigma}[/tex] [tex]=\dfrac{x-0.75}{0.2}[/tex]

Then, [tex]\dfrac{x-0.75}{0.2}=1.645[/tex]

[tex]x-0.75=1.645\times0.2\\\\\Riightarrow\ x-0.75=0.329\\\\\Rightarrow\ x= 0.329+0.75\\\\\Rightarrow\ x= 1.079[/tex]

Foe 50 students, total amount of food = 1.079 x 50 = $53.95

hence, the cafeteria should have food of amount $53.95 so that it is be 90 percent confident that it will not run out of food.

Answer:

Hey there!

6(x-5)

6(7-5)

6(2)

12

Hope this helps :)

Answer:

12

Step-by-step explanation:

Replace x by 7 in 6(x-5) to be able to evaluate the expression.

● 6(x-5)

● 6(7-5)

● 6 × 2

● 12

So the expression is equal to 12 when x=7

Answer:

182.5 miles in the rate of 50 mph.

Step-by-step explanation:

1 gallon = 14.6 miles in the rate of 50 mph

12.5 gallons = ?

12.5 × 14.6 = 182.5 miles in the rate of 50 mph.

The number of miles covered during the trip was 182.5 miles.

Given that, at the rate of 50 mph, a car can travel 14.6 miles for each gallon of gas used. On a trip, Mr Hanson used 12.5 gallons of gas travelling at a speed of 50 mph.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, 1 gallon = 14.6 miles at the rate of 50 mph

12.5 × 14.6 = 182.5 miles in the rate of 50 mph.

Therefore, the number of miles covered during the trip was 182.5 miles.

To learn more about the unitary method visit:

https://brainly.com/question/22056199.

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