On a number line, where would be located?

The volume of the rectangular prism is 4.84 cm cube.

A rectangular prism is filled exactly with 605 cubes. Each cube has edge

length 1 / 5 cm. Therefore, the volume of the rectangular prism can be

calculated as follows:

volume of each cube = l³

volume of each cube = (1 / 5)³

volume of each cube = 1 / 125 cm³

Therefore,

volume of the rectangular prism = 605 × 1 / 125

volume of the rectangular prism = 605 / 125

volume of the rectangular prism = 4.84 cm³

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Answer:

The answers are

y=9

x≈16

Step-by-step explanation:

90+60+z=180

z+150=180

z=180-150

z=30°

sin30=y/18

y=18sin30

y=9

hyp²=opp²+adj²

adj²=hyp²-opp²

x²=18²-9²

x²=324-81

x²=243

take the square root of both sides

x≈16

Answer:

\(s=1\)

Step-by-step explanation:

Using the diagram, we can see that the angle is a right angle.

With this information, we can set up an equation:

\(77+8s+5=90\)

Please note that right angles are always equivalent to 90 degrees.

\(77+8s+5=90\)

Add like terms:

\(82+8s=90\)

Subtract 82 from both sides:

\(8s=8\)

Divide both sides by 8

\(s=1\)

The amount of time he spent on bicycle is 4.5 hours.

Given Jim began a 145 mile bicycle trip.

The whole trip took 7 hours.

Jim walks at a rate of 4 miles per hour  and rides at 30 miles per hour.

speed = distance / time

time = distance / speed

ride:

d = distance ridden

t = d/30 (given from the problem)

walk:

t = (145 - d)/4 (given from problem)

total trip time:

7 = d/30 + (145 - d)/4.

7 = 4d/120 + 30(145 - d)/120

7×120 = 4d + 30(145 - d)

840= 4d +4350-30d

840 ₋ 4350 = ₋30d ₊ 4d

₋3510 = ₋26d

d = 3510/26

d = 135

d=135 then from here using the formula t = d / s we can solve

t=135/30 = 4.5 hours

hence the amount of time Jim spent on the bicycle is 4.5 hours.

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Answer:

41 meters

Step-by-step explanation:

\(\frac{31}{64}\) = \(\frac{19.8}{x}\)

31x = (19.8)(64)

31x = 1267.2  Divide both sides by 31 and round

x = 41

Answer:

4-5<-2 is false it should be 4-5>-2

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Answer:

Angle ACB = 44°

There are two ways to solve it. Both are right

Solution number 1

From triangle ABC

angle BAC = 180°-(102° +44°) = 36°

Because BG is parallel with AC

Another solution

The sum of angles in the shape AGBC = 360°

Answer:

\(753491\)

Step-by-step explanation:

1) Subtract 78 + 13 to 91.

\( {91}^{3} - 8 \times 10\)

2) Simplify 91³ to 753571.

\(753571 - 8 \times 10\)

3) Simplify 8 × 10 to 80.

\(753571 - 80\)

4) Simplify.

\(753491\)

Therefor, the answer is 753491.

The probability that exactly 4 out of 7 seeds planted do not grow is 0.0007 (approximately), given that each seed has a 95% chance of growing into a healthy plant.

The probability that a seed doesn't grow is 1 - 0.95 = 0.05.

To calculate the probability that exactly 4 seeds don't grow out of 7, we need to use the binomial distribution formula, which is:

P(X=k) = C(n, k) * \(p^k\) * \((1-p)^{(n-k)}\)

where:

X is the random variable representing the number of seeds that don't grow.

k is the specific number of seeds that don't grow (in this case, k=4)

n is the total number of seeds planted (n = 7)

p is the probability that a seed doesn't grow (p=0.05)

C(n,k) is the number of ways to choose k items out of n, also known as the binomial coefficient.

Plugging in the values, we get:

P(X=4) = C(7,4) * 0.05⁴ * 0.95³

          = 35 * 0.00000625 * 0.857375

          = 0.0006522

Rounding to four decimal places, the probability that exactly 4 seeds don't grow is 0.0007 (approximately).

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The value of the required function f.g for x=4 is 0

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given here: Two functions f(x)=x²+1 and g(x)=x-4

thus f(x).g(x)=(x²+1).(x-4)

                   =x³+x-4x²-4

(f.g)(4)=4³+4-4×4²-4

         = 64+4-64-4

         =0

Thus the value of (f.g)(4) =0

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Answer:

\( \boxed{x = 1.1614}\)

Step-by-step explanation:

\( \boxed{question \: \: 2.} \\ ( - 4 ) { \times 10}^{x} - 50 = - 108 \\ ( - 4 ) { \times 10}^{x} = - 58 \\ { 10}^{x} = \frac{ - 58}{ - 4} \\ {10}^{x} = 14.5 \\ x = log_{10}(14.5) \\ x = log(14.5) = 1.1613680022 \\ \boxed{x = 1.1613680022}\)

♨Rage♨

The slope and y-intercept for the least-squares line of quiz 1 scores and test scores are;

Slope = 0.6

y-intercept = 7.16

The least-squares regression line is a line that fits the data points on a graph by minimizing the vertical distance between the data points to the regression line.

The table of values are presented as follows;

            \({}\)                   Quiz 1 (x) \({}\)           Test (y)

            \({}\)                       15             \({}\)           20

            \({}\)                       12             \({}\)           15

            \({}\)                       10             \({}\)           12

            \({}\)                        14             \({}\)           18

            \({}\)                        10             \({}\)         10

            \({}\)                         8             \({}\)          13

            \({}\)                         6             \({}\)          12

            \({}\)                        15             \({}\)          10

            \({}\)                        16             \({}\)          18

            \({}\)                        13             \({}\)          15

Mean                           11.9             \({}\)          14.3

Standard Deviation     3.3              \({}\)          3.5

The formula for the slope, b, of the least-squares line is presented as follows;

\(\displaystyle b=\frac{\sum \left(x_i-\bar{x}\right)\times \left(y_i-\bar {y}\right)}{\sum \left(x_i-\bar{x}\right)^2}\)

The values of the terms of the equations obtained by using the spreadsheet application MS Excel are;

\(\displaystyle {\sum \left(x_i-\bar{x}\right)\times \left(y_i-\bar {y}\right)}\) = 59.3

\(\displaystyle {\sum \left(x_i-\bar{x}\right)^2\) = 98.9

Therefore;

\(\displaystyle b=\frac{59.3}{98.9} \approx 0.6\)

The formula for the y-intercept is; c = \(\bar y-b\cdot \bar x\)

Therefore;

c ≈ 14.3 - 0.6 × 11.9 = 7.16

Question options;

The possible question options obtained from a similar online are;

Slope = 0.54

y-intercept = 1.22

Slope = 0.6

y-intercept = 7.16

Slope = 0.54

y-intercept = 1.71

Slope = 0.6

y-intercept = 1.22

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Answer: an arithmetic sequence

Step-by-step explanation:

The probability that the third largest observation in the sample is less than 0.7 is  0.2401 =  24.01%.

The sample size n = 5,

Therefore the order statistics will be represented as X₁, X₂, X₃, X₄, and X₅.

Probability that X₃ is less than 0.7:

Since X₃ is the third largest observation =  (X₁ and X₂) < 0.7.

The probability that X₃ is less than 0.7 is (0.7)² = 0.49.

.

The probability that both X₁ and X₂ are less than or equal to 0.7 is (0.7)² = 0.49 because in a continuous uniform distribution, the probability of any single observation being less than 0.7 is 0.7 - 0 = 0.7.

We then get the product of both cases:

Probability = 0.49 * 0.49 = 0.2401

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Answer:

Therefore, the correct answer is 24,069,100.

Step-by-step explanation:

(6.91 x 10^4) = 6.91 x 10,000 (10 x 10 x 10 x 10) or 69,100.

(2.4 x 10^7) = 2.4 x 10,000,000 (10 x 10 x 10 x 10 x 10 x 10 x 10) or 24,000,000.

24,000,000 + 69,100 = 24,069,100

Therefore, the correct answer is 24,069,100.

Hope this helps! :D

The total surface area of solid is,

S = 220 m²

And,  The volume of the prism is, 200 m³

We have to given that;

A solid prism is shown in figure.

Since, The surface area of a prism is,

S = (2 × Base Area) + (Base perimeter × height)

Where, "S" is the surface area of the prism.

Hence, We get;

base area = 5 x 10 = 50 m²

height = 4 m

Base Perimeter = 2 (5 + 10) = 30

Hence, We get;

S = (2 x 50) + (30 x 4)

S = 100 + 120

S = 220 m²

Since, A prism is a solid shape that is bound on all its sides by plane faces. The volume of a prism is expressed as;

V = base area × height.

Now, For given figure,

Volume of the prism = base area × height

base area = 5 x 10 = 50 m²

height = 4 m

Hence, Volume = 50 × 4 m³

= 200 m³

Thus, The volume of the prism is, 200 m³

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Answer:

So let the hypotenuse be

x

:

sin

(

47

°

)

=

opposite side

x

sin

(

47

°

)

=

12

x

To solve for

x

, divide

sin

(

47

°

)

by

12

:

x

=

12

sin

(

47

°

)

x

≈

16

Step-by-step explanation:

Answer: 16

Reason: bc it just is

Answer: yes correct i love math

Step-by-step explanation:

Answer:

40$,160$ & 60

Step-by-step explanation:

First,find the equation using y-y1/ y1-y2=x-x1=x1-x2

y-0/0-20=x-0/0-3

y=20x/3

Now put the values of x& y in the equation, for the 1st one,

y=20×6/3

=40

2nd one.y=20×24/3

=160

3rd one,

400=20x/3

X=400×3/20

=60

The values at different number of tickets and the tickets that can be bought at $400 has been determined.

When a variable varies directly with the other variable, i.e. on increasing one variable the other variable also increases, this relation is called Direct Variation.

Let x represent the number of tickets sold

Let y represent the amount of money earned from ticket sales.

y ∝ x

y = kx

k is the proportionality constant.

The value in the table will be used to determine the value of k,

For 3 tickets, the ticket amount is $20

20 = k * 3

k = 20/3

The relation is given by

y = (20/3) x

For 6 tickets, the value will be,

y = (20/3 ) *6 = $40

For 24 tickets the value will be,

y = (20/3) * 24 = $160

For $400, how many tickets can be bought,

400 = (20/3) * x

400*3 /20 = x

60 tickets can be bought for $400

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The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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The percent change in the number of water bottles the company manufactured from February to April is 19.5%, to the nearest percent.

A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals.

The total number of water bottles the company manufactured in February, March, and April.

In February, the company manufactured 4,100 water bottles. In March, the company manufactured 7% more water bottles than in February, which is 7/100 * 4,100 = 287 water bottles.

Therefore, the total number of water bottles the company manufactured in March is 4,100 + 287 = 4,387 water bottles. In April, the company manufactured 500 more water bottles than in March, which is 4,387 + 500 = 4,887 water bottles.

This is calculated as (4,887 - 4,100) / 4,100 = 0.195 or 19.5%.

Therefore, the percent change in the number of water bottles the company manufactured from February to April is 19.5%, to the nearest percent.

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If the equation is

\(7\sin^2x-14\sin x+2=-5\)

then rewrite the equation as

\(7\sin^2x-14\sin x+7=0\)

Divide boths sides by 7:

\(\sin^2x-2\sin x+1=0\)

Since \(x^2-2x+1=(x-1)^2\), we can factorize this as

\((\sin x-1)^2=0\)

Now solve for x :

\(\sin x-1=0\)

\(\sin x=1\)

\(\implies\boxed{x=\dfrac\pi2+2n\pi}\)

where n is any integer.

If you meant sin(2x) instead, I'm not sure there's a simple way to get a solution...

The formula for slope is the third option  \(\frac{y_2-y_1}{x_2-x_1}\) .

The slope of a line is calculated using the Pythagoras formula of aright angled triangle.

In other terms, the rise isy. The rise of a route between given angles is the difference in the altitude of something like the street at those two sites, say y1 and y2.

The run, or x, is the difference ln distance from a given point measured along the level, horizontal line for relatively small distances where the Earth's curving may be disregarded.

Here, the ratio of something like the change in pressure to the horizontal distance between the two places on the line is used to define the slope of the road between two points.

if two point have the coordinated (a, b) and(c, d)

Then the slope is calculated by the equation:

m = (d-b)/(c-a)

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Answer:

\(2 + 2 = 0\)

Step-by-step explanation:

It's easy you are

kid‍♂️‍♂️‍♂️

Answer:

52

Step-by-step explanation:

RTQ is 52 because if PTR is a right angle, right angles equal 90 degrees. So if PTQ is 38 degrees, we subtract 38 from 90 to get RTQ. 90-38 equals 52.

Answer:

52 degrees

Step-by-step explanation:

right angle = 90

90-38=52

So RTQ = 52 degrees

Answer:

Yes. Factored form.

Step-by-step explanation:

Answer:

yes, and it's in intercept form

Step-by-step explanation:

Hi there!

We are given the function f(x)=-2(x-4)(x+3)

A quadratic function is a function that has a degree of 2 (the highest exponent in the function is to the 2nd power)

There are 3 forms to write a quadratic function:

standard form, which is f(x)=ax²+bx+c, where a, b, and c are free coefficients (numbers)

vertex form, which is f(x)=a(x-h)²+k, where a is a free coefficient and (h,k) is the vertex

intercept form, which is f(x)=a(x-\(x_{1}\))(x-\(x_{2}\)), where a is a free coefficient and \(x_{1}\) and \(x_{2}\) are the x intercepts

You may notice that  f(x)=-2(x-4)(x+3)  is actually in intercept form; a is -2 and  \(x_{1}\) and \(x_{2}\) are 4 and -3 respectively (remember: the formula for intercept form has  -\(x_{1}\) and -\(x_{2}\), but the x intercepts are  \(x_{1}\) and \(x_{2}\). Therefore, the x intercepts should be the opposites of  -\(x_{1}\) and -\(x_{2}\)).

If the formula is in intercept form, it should be quadratic.

However, if you want to be sure it's quadratic, you can expand the function.

f(x)=-2(x-4)(x+3)  

first, multiply the binomials together using FOIL

(x-4)(x+3)

x²-x-12

now multiply x²-x-12 by -2

-2(x²-x-12)

do the distributive property

-2x²+2x+24

It's a quadratic function! The value of the highest exponent is 2 :)

Hope this helps!

Answer:

AC = 16 in.

Step-by-step explanation:

AD = CD = 10 in.

BD = 6 in.

AC = 2(AB) = ?

Apply pythagorean theorem to find AB

AB² = AD² - BD²

Substitute

AB² = 10² - 6²

AB² = 64

AB = √64

AB = 8

Therefore:

AC = 2(AB) = 2(8)

AC = 16 in.