A book shelf is 1 m wide. Joe wants to place a set of books across the shelf. He has 20 books. Each book is 5.2 cm wide. Will he have enough space for all the books?

Answer:

Step-by-step explanation:

You are given a graph and wish to determine whether or not it represents a function.  Draw a vertical line through this graph and count the number of times the vertical line intersects the graph.  

If exactly once, the graph passes the vertical line test and we say the graph represents a function.

If more than once, the graph fails the test and does not represent a function.

This is because a function assigns one and only one y value to any input value x in the domain.

Answer:

Step-by-step explanation:

vertical line test: a test that uses any kind of straight stuff (i.e line, pen, etc.) to go over the graph and check whether or not there are two points on one vertical line.

In a function, one domain (x value) can only have one range (y value).

NOTE: one range can have multiple domains

This means through vertical line test, if there are two points on one vertical line, it will not be a function.

Answer:

y = - x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (2, - 4) and (x₂, y₂ ) = (- 1, - 1)

m = [tex]\frac{-1+4}{-1-2}[/tex] = [tex]\frac{3}{-3}[/tex] = - 1 , thus

y = - x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 1, - 1 ), then

- 1 = 1 + c ⇒ c = - 1 - 1 = - 2

y = - x - 2 ← equation of line

Answer:

1

Step-by-step explanation:

[tex] \bigg(3 {w}^{4} {z}^{3} m \bigg) ^{0} \\ = {3}^{0} \times {w}^{4 \times 0} \times {z}^{3 \times 0} \times {m}^{0} \\ = {3}^{0} \times {w}^{0} \times {z}^{0} \times {m}^{0} \\ = 1 \times 1 \times 1 \times 1.. ( \because {a}^{0 } = 1) \\ = 1 \\ \therefore \: \bigg(3 {w}^{4} {z}^{3} m \bigg) ^{0} = 1[/tex]

Answer:

1

Step-by-step explanation:

whenever we have 0 in the exponent the term becomes equal to 1

(3w^4z^3m)^0

multiplying 0 with all terms inside the bracket

3^0 × w^4×0 × z^3×0 × m^1×0

solving the powers

3^0 × w^0 × z^0 × m^0

since we have 0 in the exponent so all the terms will become 1

1 × 1 × 1 × 1 = 1

Answer:

-15/8 or -1 7/8, 1.875

Step-by-step explanation:

Answer:

  6

Step-by-step explanation:

Since you're familiar with your multiplication tables, you know that ...

  42 = 6 × 7

There are 6 tiles in each of the 7 rows.

Answer:

Option d (quantitative data) is the correct choice.

Step-by-step explanation:

The remaining three options do not apply to the specified scenario. Therefore the description made will serve as an example of quantitative data.

Answer:

The P-value is 0.0166.

Step-by-step explanation:

The complete question is: In a​ one-tail hypothesis test where you reject H0 only in the lower ​tail, what is the p-value  if ZSTAT = -2.13.

We are given that the z-statistics value is -2.13 and we have to find the p-value.

Now, the p-value of the test statistics is given by the following condition;

                    P-value = P(Z < -2.13) = 1 - P(Z [tex]\leq[/tex] 2.13)

                                  = 1 - 0.9834 = 0.0166

Assuming that the level of significance is 0.10 or 10%.

The decision rule for rejecting the null hypothesis based on p-value is given by;

Here, the P-value is more than the level of significance as 0.0166 > 0.10, so we have insufficient evidence to reject the null hypothesis, so we fail to reject the null hypothesis.

Answer:

2Ab=h

Step-by-step explanation:

A=1/2bh

2A=bh

2Ab=h

Answer: all real numbers

Explanation:

Let's solve your equation step-by-step.

6(−2w−3)=−4(3w+7)+10

Step 1: Simplify both sides of the equation.

6(−2w−3)=−4(3w+7)+10

(6)(−2w)+(6)(−3)=(−4)(3w)+(−4)(7)+10(Distribute)

−12w+−18=−12w+−28+10

−12w−18=(−12w)+(−28+10)(Combine Like Terms)

−12w−18=−12w+−18

−12w−18=−12w−18

Step 2: Add 12w to both sides.

−12w−18+12w=−12w−18+12w

−18=−18

Step 3: Add 18 to both sides.

−18+18=−18+18

0=0

Answer:

2

Step-by-step explanation:

-r^2+5ry+4y^2

= -(-2)^2+5(-2)(3)+4(3)^2

= -(4)+5(-6)+4(9)

= -4-30+36

= 36-30-4

= 36-34

= 2

Answer:

[tex] \boxed{\bold{\boxed{ \sf{1 \: , \: 2 \: , \: 3\: ,4 \: , \: 5 \: , \: 6 \: , \: 8 \: , \: 10 \: }}}}[/tex]

Option D is the correct option

Step-by-step explanation:

Let the sets be A and B.

A = { 1 , 2 , 3 , 4 , 5 }

B = { 2 , 4 , 6 , 8 , 10 }

Finding A union B ( A ∪ B )

The union of sets A and B is the set of all elements which belongs either A or B or both A and B

So, list them :

A ∪ B = { 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 }

Hope I helped!

Best regards! :D

Answer:

-7x+24

Step-by-step explanation:

(2*2-3x+7) - (-3*2+4x-7)

11-3x+13-4x

-7x+24

Answer:

-7x +24

Step-by-step explanation:

2*2-3x+7) - (-3*2+4x-7)

11-3x+13-4x

-7x+24

Answer:

[tex]\large \boxed{\sf \bf \sqrt{\dfrac{10}{3}}}[/tex]

Dimension of the rectangle is

[tex]2\times\sqrt{\dfrac{10}{3}}\\ \\10-\dfrac{10}{3}=\dfrac{20}{3}[/tex]

Step-by-step explanation:

Hello,

[tex]\text{The area is }2x(1-x^2) \\ \\\text{The derivative is }2(10-x^2)+2x(-2x)=2(10-3x^2)\\\\\text{The derivative is }0\text{ for} 10-3x^2=0 \\\text{so for } x=\sqrt{\dfrac{10}{3}}[/tex]

Thanks

Answer:

Kindly check explanation

Step-by-step explanation:

Suppose that the height s of a ball (in feet) at time t (in seconds) is given by the formula

s(t) = 64 - 16(t - 1)^2

t interval = 0 ≤ t ≤ 3

1) point A (from the graph)

11) Height of ball when it was released

Ball was released at t = 0

s(0) = 64 - 16(0 - 1)^2

= 64 - 16(-1)^2

= 64 - 16(1)

= 64 - 16

= 48 feets

111) point C ( from the graph)

IV) highest point of the ball is 64

Hence,

s(t) = 64 - 16(t - 1)^2

64= 64 - 16(t - 1)^2

16(t - 1)^2 = 64 - 64

16(t - 1)^2 = 0

16t^2 - 32t + 16 = 0

t^2 - 2t + 1 = 0

(t-1) = 0 (t-1) = 0

t = 1

V) Point G (from graph)

V1)

height = 0

s(t) = 64 - 16(t - 1)^2

0 = 64 - 16(t - 1)^2

16(t - 1)^2 = 64

(t - 1)^2 = 64/16

(t - 1)^2 = 4

(t - 1)² = 2²

t - 1 = 2

t = 2 + 1

t = 3

Answer:

it moved 3 spots

Step-by-step explanation:

Answer:

Simplify each radical, then combine.

3√8

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

6 √ 2 = 3√8

Answer:

0.3581<x<0.4429

Step-by-step explanation:

Using the formula for calculating the confidence interval of the population proportion p expressed as:

Confidence interval = p ± Z * √p(1-p)/n

p is the population proportion = x/n

p = 200/500

p = 0.4

Z is the z-score at 95% CI = 1.96

n is the sample size = 500

Substituting the given parameters into the formula we will have;

Confidence interval = 0.4 ± 1.96 * √p(1-p)/n

Confidence interval = 0.4 ± 1.96 * √0.4(0.6)/500

Confidence interval = 0.4 ± 1.96 * √0.24/500

Confidence interval = 0.4 ± 1.96 * √0.00048

Confidence interval = 0.4 ± 1.96 * 0.0219

Confidence interval = 0.4±0.04294

Confidence interval = (0.3571, 0.4429)

Hence the confidence interval of the population mean is 0.3581<x<0.4429

(4). If we break down this piecewise function, we have 3 main expressions to deal with, 'h(x) = 5 if {x ≥ 4}' (represented by the green graph) 'h(x) = x if {0 ≤ x ≤ 4}' (represented by the blue graph) and 'h(x) = 1 / 2x + 2 if {x < 0}' (represented by the red graph).

Take a look at the attachment below for your graph of these 3 functions / expressions.

(5). For this part we want to determine the average rate of change of the function f(x) = 4x² - 5x - 8 over the interval [- 2,3]. Remember that to calculate average rate of change between the 2 points we use the following formula...

f(b) - f(a) / b - a,

f(3) = 4(3)² - 5(3) - 8 = 4(9) - 15 - 8 = 36 - 15 - 8 = 13,

f(- 2) = 4(- 2)² - 5(- 2) - 8 = 4(4) + 10 - 8 = 16 + 10 - 8 = 18

13 - 18 / 3 - (- 2) = - 5 / 5 = - 1

Therefore the average rate of change of the function f(x) = 4x² - 5x - 8 over the interval [- 2,3] will be - 1.

Answer:

Both angles are right angles.

Step-by-step explanation:

Supplementary angles sum to 180°. Since we know that both angles are congruent, let's call them x and x. We can write the following equation:

x + x = 180

2x = 180

x = 90°

Therefore, we can conclude that both angles are right angles.

Answer:

Angles that are both congruent and supplementary each have a measurement that is equal to 90°.

Step-by-step explanation:

Answer:

The value of n in this equation is -3/4

Step-by-step explanation:

5 - (n - 4) = 3 (n + 2)

Distribute the negative to (n - 4) and distribute 3 to (n + 2).

5 - n + 4 = 3n + 6

Add 4 to -5.

9 - n = 3n + 6

Subtract 9 from 6.

-n = 3n - 3

Subtract 3n from n.

4n = -3

Divide 4 by -3.

n = -3/4

Answer:

12.1072

Step-by-step explanation:

 5.264

x                           take 3 multiply with 5264 = 15792

      2.3                 then take 2 multiply with 5264 = 10528

 15792                  add column by column as drop 2 down, then 9 + 8

10528                    then 7+2, 5+5, 1+0, 1. then count how many numbers total

121072                  behind the point  .264= 3 numbers + .3 is 1 number= 4#s

                               then count backward the result 4 numbers 2701 put the                        

                               dot there you will get 12.1072

Answer:

4.472135955

Step-by-step explanation:

Answer:

12x = 60 x = 5

Step-by-step explanation:

2 (2x + 4x) = 2 (6x) = 12x

the perimeter is 12x and 60 is the perimeters value so you divide 60 by 12 and get 5

Answer:

[tex]y=-4x+13[/tex]

Step-by-step explanation:

We are given the two points (3, 1) and (2, 5) and we want to find the equation of the line containing the given points.

First, find the slope of the line:

[tex]\displaystyle \begin{aligned} m &= \frac{\Delta y}{\Delta x} \\ \\ &= \frac{(5)-(1)}{(2)-(3)} \\ \\ &= \frac{4}{-1} \\ \\ &= -4 \end{aligned}[/tex]

Hence, the slope of the line is -4.

Since we know the slope and a point, we can consider using the point-slope form, given by:

[tex]y-y_1=m(x-x_1)[/tex]

Let's use (3, 1) as the chosen point, and we will substitute -4 for the slope m. This yields:

[tex]\displaystyle y-(1)=-4(x-(3))[/tex]

To convert into slope-intercept form, solve for y:

[tex]\displaystyle \begin{aligned} y - 1 &= -4 (x - 3) \\ y - 1 &= -4x + 12 \\ y &= -4x + 13 \end{aligned}[/tex]

In conclusion, the equation of the line is:

[tex]y=-4x+13[/tex]

Answer:

Step-by-step explanation:

Y=-4x+13

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

So we have the equation:

[tex]8(2-x)+3x=-4[/tex]

Distribute the first term:

[tex]16-8x+3x=-14[/tex]

Combine like terms:

[tex]16-5x=-4[/tex]

Subtract 16 from both sides:

[tex]-5x=-20[/tex]

Divide both sides by -5:

[tex]x=4[/tex]

So, the value of x is 4 :)

Answer:

Hypotenuse is the longest side in a triangle.

a^2=b^2+c^2.

5^2=4^2+c^2.

c^2=25-16.

c^2=9.

c=√9.

c=3cm.

The row of table reveals the x-intercept could be second ( -4, 0).

The x-intercept of a function of variable x ( y = f(x) ) form is an intersection fo the x-axis and the curve of the function.

The x-intercept for a function y = f(x) is a solution to the equation f(x) = 0 because at that value of x, the function f(x) lies on x-axis where y is 0.

Values of x-intercept for a function f(x) are also called roots or solution of f(x) = 0 equation.

We have to find Which row of table reveals the x-intercept.

Thus, We can conclude that the second row shows the unit rate.

Hence, the row of table reveals the x-intercept could be second ( -4, 0).

Learn more about x-intercept here:

https://brainly.com/question/14764115

#SPJ5

Answer:

x = 7

Step-by-step explanation:

First, put the x values on one side by subtracting 4x from each side:

5x + 11 = 4x + 18

x + 11 = 18

Subtract 11 from both sides to solve for x:

x = 7

Answer: The value of x is 7.

Step-by-step explanation:

Here's how I got my answer:

5x + 11 = 4x + 18

Isolate variables and combine like terms:

5x - 4x = 18 - 11

Simplify:

x = 7

That is the final answer.

Answer:

0.89736

Step-by-step explanation:

We solve this question using z score formula

Z score = x - μ/σ

x = raw score

μ = population mean

σ = population standard deviation

Hence,

x = 258, μ = 220, σ = 30

Z = 258 - 220/30

=1.26667

Probability value from Z-Table:

P(x<258) = 0.89736

Therefore, the probability that his weights is less than 258 kg is 0.89736

Answer:

Solution: an Experimenter whats to estimate the average water consumption per family in the city

if individual families are used as the sampling united, a frame could be using censes data or atelephone book

if dwelling are used as the sampli units, aframe could be using Address book or city directory

If city blocks are used as the sampling units, aframe could been using is city directory

Step-by-step explanation: