pls help reall need it

algebra.............

Answer:

4.45x10

Step-by-step explanation:

Solution

Answer:

It will be $85,  34÷ 4

will give you 8.5 then you multiply it by 10,× 10=85

Answer:

272

Step-by-step explanation:

56:7=8 (she earns 8$ in 1 hour)

8×34=272

Answer:

Step-by-step explanation:

to under stand this think of a rectangle, or square.  that's the yard, then

we know the total area of that rectangle or square,  some how.  :/  they just tell us,  then   they tell us the length , or one side of our rectangle or square.

we just have to find the other side.

area of yard (rectangle) = Length *  Width

area = L * W

81 = 12 * W

use your algebra skills...  ( my calculus prof. tells us that we are all bad at it :))

81/12 = W

6.75 = W

the width of the yard is 6.75 meters

Answer:

10$ I think

Step-by-step explanation:

2*30=60

90-60=30

30/3=10

The following are the solution to the given inequalities;

-13 < 4x + 7 ; -5 < x

-2x + 7 < 19 ; x > -6

-45 < 5(p - 2) ; -7 < p

21 < -7(x - 2) ; -1 > x

-9x + 10 > -8 ; x < 2

2 - 6 < 3 ; -4 < 3

-13 < 4x + 7

combine like terms

-13 - 7 < 4x

-20 < 4x

divide both sides by 4

-5 < x

-2x + 7 < 19

combine like terms

-2x < 19 - 7

-2x < 12

x < 12/-2

x > -6

When dividing inequality with negative, the inequality sign will flip.

-45 < 5(p - 2)

open parenthesis

-45 < 5p - 10

-45 + 10 < 5p

-35 < 5p

-7 < p

21 < -7(x - 2)

21 < -7x + 14

21 - 14 < -7x

7 < -7x

divide both sides by -7.

-1 > x

-9x + 10 > -8

-9x > -8 - 10

-9x > -18

x > -18/-9

x < 2

2 - 6 < 3

-4 < 3

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Answer:

999,960

Step-by-step explanation:

let x be a multiple of 120

120x ≤ 999,999

999,999 / 120 = 8333.325

8333 ≤ x ≤ 8334

8333(120) = 999,960

8334(1200) = 1,000,080  this is a 7-digit number

Therefore, the largest 6-digit number that is exactly divisible by 120 is 999,960

Answer:

9

Step-by-step explanation:

count the places (vote me brainiest)

In a proportional relationship between two quantities, the constant of proportionality, often denoted by the letter "k," represents the value that relates the two quantities. The equation y = kx is the standard form for expressing a proportional relationship, where "y" and "x" are the variables representing the two quantities.

Here's a breakdown of the components in the equation:

y: Represents the dependent variable, which is the quantity that depends on the other variable. It is usually the output or the variable being measured.

x: Represents the independent variable, which is the quantity that determines or influences the other variable. It is typically the input or the variable being controlled.

k: Represents the constant of proportionality. It indicates the ratio between the values of y and x. For any given value of x, multiplying it by k will give you the corresponding value of y.

The constant of proportionality, k, is specific to the particular proportional relationship being considered. It remains constant as long as the relationship between x and y remains proportional. If the relationship is linear, k also represents the slope of the line.

For example, if we have a proportional relationship between the distance traveled, y, and the time taken, x, with a constant of proportionality, k = 60 (representing 60 miles per hour), the equation would be y = 60x. This equation implies that for each unit increase in x (in hours), y (in miles) will increase by 60 units.

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the solution to the given difference equation is y(k) = \(0.2^k\) - 2.4 * \(1.2^k\)

To solve the given difference equation, we can use the Z-transform method. Let's denote the Z-transform of a function y(k) as Y(z), and the Z-transform of x(k) as X(z).

Applying the Z-transform to the given equation and using the properties of linearity, time shifting, and the Z-transform of the unit step function, we have:

z²Y(z) - zY(z) + 0.24Y(z) = (z + 1)X(z)

Next, we can rearrange the equation to solve for Y(z):

Y(z)(z² - z + 0.24) = (z + 1)X(z)

Dividing both sides by (z² - z + 0.24), we get:

Y(z) = (z + 1)X(z) / (z² - z + 0.24)

Now, we need to find the inverse Z-transform of Y(z) to obtain the time-domain solution y(k). To do this, we can use partial fraction decomposition and lookup tables to find the inverse Z-transform.

The denominator of Y(z), z² - z + 0.24, can be factored as (z - 0.2)(z - 1.2). We can then rewrite Y(z) as:

Y(z) = (z + 1)X(z) / [(z - 0.2)(z - 1.2)]

Now, we perform partial fraction decomposition to express Y(z) as:

Y(z) = A / (z - 0.2) + B / (z - 1.2)

To find the values of A and B, we can multiply both sides of the equation by the common denominator:

(z - 0.2)(z - 1.2)Y(z) = A(z - 1.2) + B(z - 0.2)

Expanding and equating coefficients, we have:

z²Y(z) - 1.4zY(z) + 0.24Y(z) = Az - 1.2A + Bz - 0.2B

Now, we can equate the coefficients of corresponding powers of z:

Coefficient of z²: 1 = A

Coefficient of z: -1.4 = A + B

Coefficient of z⁰ (constant term): 0.24 = -1.2A - 0.2B

Solving these equations, we find A = 1, B = -2.4.

Substituting these values back into the partial fraction decomposition equation, we have:

Y(z) = 1 / (z - 0.2) - 2.4 / (z - 1.2)

Now, we can use the inverse Z-transform lookup tables to find the inverse Z-transform of Y(z):

y(k) = Z⁻¹{Y(z)} = Z⁻¹{1 / (z - 0.2) - 2.4 / (z - 1.2)}

The inverse Z-transform of 1 / (z - 0.2) is given by the formula:

Z⁻¹{1 / (z - a)} = \(a^k\)

Using this formula, we get:

y(k) = \(0.2^k\) - 2.4 * \(1.2^k\)

Therefore, the solution to the given difference equation is y(k) = \(0.2^k\) - 2.4 * \(1.2^k\)

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The time taken by both to mow the lawn is 36 minutes.

This is a question of time and work.

It is given that:-

Time taken by boy to mow the loan = 90 minutes.

Time taken by girl to mow the loan = 60 minutes.

We have to find the time taken by both of them together to mow the lawn.

LCM(60,90) = 180

Let the total work to be done to mow the lawn be 180 units.

Hence,

Efficiency of boy = 180/90 = 2 units

Efficiency of girl = 180/60 = 3 units

Total efficiency = 2 + 3 = 5 units.

Hence, time taken by both of them to mow the lawn = 180/5 = 36 minutes.

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Answer: Yes, it does.

Step-by-step explanation: Let x represent the price of gas today. 200% of x=200/100*x, which can be written as 2x because 200/100=2. 2x is x doubled, and therefore, it does mean the price has doubled.

Answer:

yes, the price has doubled

Answer:

If the expected value of the game is 5.6, this means that on average you can expect to earn 5.6 points per game if you were to play the game many times. However, since the point values available in the game are 20, 10, and 2, you cannot earn exactly 5.6 points in any single game.

Instead, over many games, the average number of points you would earn per game would approach the expected value of 5.6. For example, if you played the game 100 times, you might earn 2000 points if you got 20 points every time, 1000 points if you got 10 points every time, or 200 points if you got 2 points every time. But if you averaged your points across all 100 games, the average should be close to the expected value of 5.6 points per game.

Answer:

m n^4 p^3

Step-by-step explanation:

m^7 n^4 p^3   and m n^12 p^5

We have 7 m's on the left   and one on the right

We have one m in common

We have 4 n's on the left   and 12 on the right

We have 4 n's in common

We have 3 p's on the left   and 5 on the right

We have 3 p's in common

m n^4 p^3

Answer:

m^1n^4p^3

Step-by-step explanation:

m^7n^4p^3 = mmmmmmmnnnnppp

mn^12p^5 = mnnnnnnnnnnnnppppp

Which factors are in common?

m^7n^4p^3 = mmmmmmmnnnnppp

mn^12p^5 = mnnnnnnnnnnnnppppp

Use common variables with lower exponent.

GCF = mnnnnppp

GCF = m^1n^4p^3

P.S. If you must fill in each box with an exponent, make sure you put a 1 for m, not a zero. m^1 = m, but m^0 = 1. If you are allowed to leave it blank, then leave it blank.

The values of x, y and z in the given Rhombus are

x = -98, y = 36 and z = -97/4.

Given, the figure shown is a rhombus

as, the opposite angles of the rhombus are equal

So, 3y - 1 = 107

3y = 107 + 1

3y = 108

y = 36

and (-x - 8) = (-4z - 7)

x + 8 = 4z + 7

x - 4z = -1

also, the sum of the opposite angles of the rhombus is 180°.

So, (-x - 8) + (-4z - 7) = 180

-x - 4z = 180 + 15

x + 4z = -195

On adding the equations, we get

2x = -196

x = -98

and z = -97/4

Hence, the values of x, y and z are

x = -98, y = 36 and z = -97/4.

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Answer:

50

Step-by-step explanation:

total angle of a triangle should be 180 so we add the given angle and subtract it from 180

Value of L = ∫2^4 ( 36x^10 + 5376x^8 + 201326592x^6 + 1 )^(1/2) dx

Given the curve, y=x^6+112x^4, and the interval [2,4].

To find the length of this curve, let us begin by determining the derivative of the curve:dy/dx = 6x^5+448x^3

The square of the derivative, f'(x)^2, is therefore: (6x^5+448x^3)^2 = 36x^10 + 5376x^8 + 201326592x^6

We can then determine the length of the curve by integrating:( ∫421+(f′(x))2−−−−−−−−−−√dx)/( ∫241+(f′(x))2dx)

Simplifying and factoring gives: L = ∫42(g(x))2−−−−−−√dx∫24(g(x))2dx

where g(x) = (f'(x))^2 + 1= 36x^10 + 5376x^8 + 201326592x^6 + 1

To find L, we need to integrate g(x) from 2 to 4.

Value of L = ∫2^4 ( 36x^10 + 5376x^8 + 201326592x^6 + 1 )^(1/2) dx

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A correlation coefficient based on the observational study cannot be used to support a claim of cause and effect. The correct answer is D: never.

Correlation does not imply causation, and while a strong correlation between two variables may suggest that there is a relationship between them, it does not prove that one variable causes the other. Observational studies are particularly susceptible to confounding variables, which can make it difficult or impossible to determine whether a relationship between two variables is causal or not.

To establish causality between two variables, a randomized controlled experiment is required. In a randomized controlled experiment, the experimenter can manipulate the independent variable and observe the effect on the dependent variable, while controlling for other variables that might affect the outcome. By randomly assigning subjects to different treatment groups, the experimenter can ensure that any differences in the outcome between groups are due to the treatment, rather than some other factor.

Therefore, while a correlation coefficient can be a useful tool for describing the relationship between two variables, it cannot be used to establish causality.

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The (f + g)(x) = 15x - 2 is represent the total round trip time.

According to the statement

we have given that the f(x) represents the time it takes a boat to travel upstream and g(x) represents the time it takes a boat to travel downstream.

And we have to find the total round trip time.

So, For this purpose, the given information is:

f(x) = 3x − 10 and g(x) = 12x + 8

And

The total round trip time is represented by the term (f + g)(x)

We know that the

(f + g)(x) = f(x) + g(x)

Substitute the given values in it

So, (f + g)(x) = f(x) + g(x)

(f + g)(x) = (3x - 10) + (12x + 8)

(f + g)(x) = 15x - 2

Hence, The (f + g)(x) = 15x - 2 is represent the total round trip time.

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Answer:

0.5

Step-by-step explanation:

Answer:

a) 20 minutes

b) 36 km/h

c) 33.67 km

d) continuous driving without any stationary phases.

Step-by-step explanation:

by the way, speed is specified in distance per time unit. in your example as km/h. and that is how your write this.

not km/h¯¹. that would be wrong, as that would actually be km×h. but you can write e.g. km×h¯¹. that is the same as km/h.

between minutes 5 and 25 there is no progress in distance. so, for these 20 minutes the bus was stationary.

in the first 5 minutes the bus drove 7-4=3 km.

so, in 5 minutes 3 km. to determine the speed we need to calculate up to see, how many km would be have driven in a full hour (60 minutes). the same factor for the time has then to be applied also to the distance to keep the ratio unchanged.

5 × x = 60

x = 12

3 × 12 = 36

so, the speed in these first 5 minutes was 3 km/5 min.

or then in km/h : 36 km/h

between the minutes 25 and 45 the bus drove with a speed of 80km/h.

and the starting point there was at 7 km.

so, the bus drove s-7 km in 20 minutes.

as before, let's first find the scaling factor to deal with a full hour instead of only 20 minutes.

20 × x = 60

x = 3

as before : distance × scaling factor = distance for km/h

(s-7) × 3 = 80

3s - 21 = 80

3s = 101

s = 33.666666666... km

Answer:

B

Step-by-step explanation:

8/5=1.6

Answer:

x = 0.8

Step-by-step explanation:

4x + 8 = 7.2 + 5x ( subtract 4x from both sides )

8 = 7.2 + x ( subtract 7.2 from both sides )

0.8 = x

Answer:

Translate 10 units right, 9 units up

Step-by-step explanation:

translations simply take the image and move it up or down or side to side, reflections flip the image, dilation changes the dimensions of an image, and rotation rotates an image on its origin point.

The total cost of materials and labor for the office space, considering a tile unit cost of P300 and labor cost equal to the materials cost, amounts to P63,000.

To calculate the total cost of materials and labor, we first need to determine the cost of the tiles. Given that the unit cost of a certain tile is P300, we can multiply this by the area of the office space to find the total cost of the tiles. The office space has an area of 63 sqm, so the total cost of the tiles is P300 * 63 = P18,900.

Next, we need to calculate the labor cost, which is 100% of the materials cost. Since the materials cost is P18,900, the labor cost will be equal to P18,900. Therefore, the total cost of labor is also P18,900.

To find the total cost of materials and labor, we add the cost of the tiles (P18,900) and the labor cost (P18,900): P18,900 + P18,900 = P37,800.

Therefore, the total cost of materials and labor for the office space is P37,800.

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Answer:

B

Step-by-step explanation:

The triangle RUS is similar to RST. 9/sqrt(90)=y/(3+x) and y^2=x^2+81. Solving all this will give x=27 and y=9*sqrt(10)

Value of x is 27 and value of y is \(9\sqrt{10}\).

The angle addition postulate in geometry states that if we place two or more angles side by side such that they share a common vertex and a common arm between each pair of angles, then the sum of those angles will be equal to the total sum of the resulting angle.

X-value:

<RST = \(90^{0}\)

\(tan( < RSU)= \frac{\overline R \overline U}{\overline S \overline U}\)

\(tan( < RSU) = \frac{3}{9}\)

\(< RSU = 18.435^{0}\)

Angle addition postulate:

<RST = <RSU + <TSU

\(90^{0} =18.435^{0} + < TSU\)

\(< TSU =71.565^{0}\)

\(tan( < TSU) = \frac{\overline T \overline U }{\overline S \overline U}\)

\(tan(71.565^{0})=\frac{x}{9}\)

\(x=27\)

Y-value:

<RST = \(90^{0}\)

\(tan( < RSU)= \frac{\overline R \overline U}{\overline S \overline U}\)

\(tan( < RSU) = \frac{3}{9}\)

\(< RSU = 18.435^{0}\)

Angle addition postulate:

<RST = <RSU + <TSU

\(90^{0} =18.435^{0} + < TSU\)

\(< TSU =71.565^{0}\)

\(cos( < TSU) = \frac{\overline S \overline U }{\overline S \overline T}\)

\(cos(71.565^{0})=\frac{9}{y}\)

\(y=9\sqrt{10}\)

Value of x is 27 and value of y is \(9\sqrt{10}\).

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The height of the tower if the distance AB is 50m is 22.36m.

What is distance?
While distance and displacement appear to have the same meaning, they actually have very different definitions and meanings. Displacement is the measurement of "how far an object is out of place," whereas distance refers to "how much ground an object had also covered during its motion." Let's examine the distinction between distance as well as displacement in this article. Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending point.

Sol-Here in right ∆AOB

AB= 50m (as per given question)

Let height of the tower is =OD = A meters

in ∆AOD , tan theta= DO/AO

Tan 38= A/∆O

∆O= A /tan 38= a/0.78

Also in ∆ BOD

tan 29 = DO/BO

BO = a/tan 29°

=9/0.55

So a^2 = 500

=>a=10√5=22.36 approx.

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