one lot must be ten meters longer than it is wide, and the total area must be 1656 m2. what are the length and width of the lot

Answer:

X<-1.

Step-by-step explanation:

It means x is all numbers less than - 1

Answer:

\(\Large \boxed{\mathrm{The \ value \ of} \ x \ \mathrm{is \ less \ than} \ -1}}\)

Step-by-step explanation:

\(x<-1\)

That is the less than symbol.

\(x\) represents a number.

The value of \(x\) is less than -1.

The rate of change for a graph passing through (0, 0) and (2, -180) is -90 pieces of candy per day

An equation is an expression that shows the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on

The slope intercept form of a linear equation is:

y = mx + b

where m is the rate of change and b is the y intercept

Let y represent the total pieces of candy remaining after x days. Let us assume that the graph passes through (0, 0) and (2, -180). Hence:

\(Slope(rate\ of\ change) = \frac{y_2-y_1}{x_2-x_1}\\ \\substituting:\\\\slope=\frac{-180-0}{2-0} =-90\)

The rate of change is -90 pieces of candy per day

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The rate at which the area of the triangle is increasing when the angle between the sides of fixed lengths is π/3 is 0.3 m²/s.

If the lengths a and b for two sides of the triangle, as well as the included angle θ, are known, the area of a triangle can be calculated using the sine formula.

\(\text { Area }=\frac{1}{2} a b \sin \theta\)

Now, according to the question;

The two sides of the triangle are given;

Let a = 4m and b = 5m.

Let θ = π/3. be the angle between the two sides;

Then,

Differentiate the area with respect to time (as rate of change of area)

\(\begin{aligned}\frac{\mathrm{d} A}{\mathrm{~d} t}=\frac{\mathrm{d}}{\mathrm{d} t} \frac{1}{2} a b \sin \theta &=\frac{1}{2} * 4 * 5 * \frac{\mathrm{d}(\sin \theta)}{\mathrm{d} \theta} \cdot \frac{\mathrm{d} \theta}{\mathrm{d} t} \\&=10 *(\cos \theta) * 0.06 \frac{\mathrm{m}^{2}}{\mathrm{~s}}=0.6 \cos (\pi / 3) \frac{\mathrm{m}^{2}}{\mathrm{~s}} \\&=0.6 * 0.5 \frac{\mathrm{m}^{2}}{\mathrm{~s}}=0.3 \frac{\mathrm{m}^{2}}{\mathrm{~s}}\end{aligned}\)

Therefore, the area of the triangle as a function of angle is 0.3 m²/s.

To know more about rate of change of area, here

https://brainly.com/question/17203328

#SPJ4

The complete question is-

Two sides of a triangle are 4m and 5 m in length and the angle between them is increasing at a rate of 0.06 rad/sec. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed lengths is π/3.

The highest common factor, termed H.C.F of the expressions P and Q such that P divides Q without remainder, is; P.

It follows from the task content that the highest common factor, termed H.C.F of the expressions P and Q such that P divides Q without remainder is to be determined.

Since P divides Q without reminder as indicated in the task content, it follows that P is a factor of Q and as expected, it is also a factor of itself.

Hence, it follows that the expression P can be agreed to be a common factor of P and Q and more specifically, the highest Common factor of both expressions.

Read more on highest common factor;

https://brainly.com/question/23433407

#SPJ1

Answer:

x = 3

Step-by-step explanation:

4(x + 3) = 3(3x - 1) ← distribute parenthesis on both sides

4x + 12 = 9x - 3 ( subtract 9x from both sides )

- 5x + 12 = - 3 ( subtract 12 from both sides )

- 5x = - 15 ( divide both sides by - 5 )

x = 3

Answer:

x = 3

Step-by-step explanation:

start off by distributing

4(x +3) turns into 4x + 12

3(3x - 1) turns into 9x - 3

so your equation turns into

3x + 12 = 9x - 3

then you can subtract the x values to move it to the opposite side of the equal sign (=)

3x + 12 = 9x - 3

-3x          -3x

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

12 = 3x - 3

then add the -3

(to find out how to move the values to opposite sides of the equals sign, just isolate the number. whether it is - 3 or just 7x, you keep the sign in front of it. if it is multiplying then divide it to get rid of it. make sure to do it to both sides of the equation.)

12 = 3x - 3

+3         +3

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

15 = 3x

divide 3 on both sides

15/ 3 = 3

3x/3 = x

3 = x

the value of x is 3

hope this helps:)

Answer:

63

Step-by-step explanation: Let n represent the number.  If two third of n = 56, n must be 56 times the reciprocal of 2/3 (3/2) 56 time 3/2 = 84.  three quarter of 84 is 84 times 3/4 = 63

True.

if y is not the zero vector, then there exists a non-zero vector v in the original vector space that is orthogonal to y.

If y is in a subspace W as well as its orthogonal complement Wâ¥, then y is orthogonal to every vector in W as well as every vector in Wâ¥. Since W and W⥠are complements, every vector in the original vector space can be written uniquely as the sum of a vector in W and a vector in Wâ¥. Since y is orthogonal to every vector in W and every vector in Wâ¥, it must be orthogonal to every vector in the original vector space.

Therefore, if y is not the zero vector, then there exists a non-zero vector v in the original vector space that is orthogonal to y. But then v would belong to both W and Wâ¥, which is impossible since W and W⥠are orthogonal complements and their intersection is only the zero vector.

Hence, it follows that if y is in a subspace W as well as its orthogonal complement Wâ¥, then y must be the zero vector.

Visit to know more about Vector:-

brainly.com/question/25705666

#SPJ11

Answer:

c) is the right answer.

Step-by-step explanation:

The Skills needed are: GCF, Division, and Factoring

If you want a product of 2 factors, and you have 2 variables, one of the factors will be a number.

Here we have:

12x + 18y-60

1) We need to find the GCF (Greatest Common Factor) of all coefficients (12,18, and 60)

    -12's factors are: 1,2,3,4,6,12

    -18's factors are: 1,2,3,6,9,18

    -60's factors are: 1,2,3,4,5,6,10,12,15,20,30,60

The GCF, or the biggest factor all these numbers share is: 6

2) So we can take out the 6 from all of these.

       -12x/6=2x

       -18y/6=3y

       -60/6=10

Our new expression with the 6 taken out would be: 6(2x + 3y - 10)

The only answer that has this is c)

Hope you understood and have a nice day!!

Answer:

54

Step-by-step explanation:

6 pennies per pile x 9 piles = 54 pennies

Answer:

54 pennies

Step-by-step explanation:

6 pennies = 1 pile

6 x 9 = 54

Answer:

120 miles

Step-by-step explanation:

200/5 = 40 miles per hour

3 hours = 40*3 = 120 miles

PLS GIVE BRAINLIEST

Answer:

Infinitely Many Solutions

Step-by-step explanation:

5y+2=  (​10y+4)/2

5y+2= (2(5y+2) )/2

5y+2=5y+2

Infinitely Many Solutions

​​  

Answer:

Answer:

58.99

Step-by-step explanation:

Well to find angle A you first have to see which trig function to use.

Soh Cah Toa

In this case, you need the opposite / hypotenuse, which is sin.

6 / 7

And then you have to use the inverse sin of 6 / 7

It's 58.99728087 which can be simplified to 58.99

The Z score that is equivalent to the raw score 92.5 is B. -1.25.

A Z score represents the number of standard deviations a raw score is from the mean in a normal distribution. To calculate the Z score, we use the formula: Z = (X - μ) / σ, where X is the raw score, μ is the mean, and σ is the standard deviation.

Given that the mean score is 100 and the standard deviation is 15, we can calculate the Z score for the raw score 92.5 as follows:

Z = (92.5 - 100) / 15

Z = -7.5 / 15

Z = -0.5

Therefore, the Z score that is equivalent to the raw score 92.5 is -0.5.

The Z score is a useful measure in statistics that allows us to standardize and compare data points across different distributions. It helps us understand the relative position of a data point within a distribution and determine how unusual or typical that data point is compared to others. By calculating the Z score, we can easily determine the percentage of data points that fall below or above a particular value in a normal distribution, which aids in making statistical inferences and drawing conclusions.

Learn more about  distribution

brainly.com/question/29664127

#SPJ11

The reliability of a study using multiple regression analysis depends on a, b, and c, but not d.

Regression analysis depends on Omitted variable bias refers to the problem of leaving out important variables from the regression model that could affect the dependent variable. This can lead to biased and inconsistent estimates of the regression coefficients.

Errors-in-variables refer to measurement errors in the independent or dependent variables. These errors can result in biased and inconsistent estimates of the regression coefficients.

Homoskedasticity in the error term refers to the condition where the variance of the error term is constant across all values of the independent variables. This is important because it ensures that the regression coefficients are unbiased and efficient.

External validity refers to the ability to generalize the findings of a study to other populations or settings. While important for the overall usefulness of the study, it does not affect the reliability of the multiple regression analysis itself. So, regression analysis depends on a,b,c but not on d.

To know more about regression analysis:

https://brainly.com/question/30011167

#SPJ4

Answer:

it will take 9 hours to empty the pool.

Step-by-step explanation:

Answer:35 dollars each

Step-by-step explanation: Because if you take the $40 out of 180 you get 140 then you divide 140 by 4 and you get 35. Hope this helps.

Answer:

3. infinite solutions

Step-by-step explanation:

2.( 8x - 3) = 6x - 6 + 10x

<=> 2.8x - 2.3 = 16x -6

<=> 16x - 6 = 16x - 6

<=> 0 = 0

=> 3. infinite solutions

Answer:

4•(2+5)^2 -5^2 = 171

Step-by-step explanation:

Do BIDMAS
(brackets, indices, division, multipy, add, sub)

so brackets
4*7^2-5^2
then do the indices
4*49-25
then the multiply
196-25
= 171
Hope this helps

Answer: Brackets => 4 x (7)^2 - 5^2
               Indices/Orders => 4 x 49 - 25

               Multiplication => 196 - 25

               Subtraction => 171

Answer:

\(4,080grams\)

Step-by-step explanation:

the formula for density is:

\(d=\frac{m}{V}\)

where d is density, m is mass, and V is volume.

solving for m in the last equation:

\(m=d*V\)

so if we find the volume and multiply it by the density \(d=8.3gr/cm^3\)  we will get the mass of the object.

The volume of a rectangular prism is given by:

\(V=l*w*h\)

where \(l\) is length, \(w\) is width and \(h\) is height:

\(l=5in\\w=3in\\h=2in\)

we substitute to find the volume:

\(V=5in*3in*2in\\V=30in^3\)

since the density has units of \(cm^3\) we need the volume also in units of \(cm^3\) , so we make the conversion using:

\(1in^3=16.3871cm^3\)

multiplying by 30:

\(30in^3=491.612cm^3\)

and now we find the mass with the equation:

\(m=d*V\)

substituting d and V:

\(m=(8.3gr/cm^3)(491.612cm^2)\\m=4,080.36gr\)

the nearest gram is: \(4,080grams\)

The numeric value of the function when x = 0 is found replacing each instance of x by zero in the definition of the function.

If a graph is given, then the numeric value is given as the value of y when the function crosses the y-axis.

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

Supposing we have a function definition, then the numeric value at x = 0 is found replacing each instance of x by zero.

On graph, x = 0 is when the graph of the function touches or crosses the y-axis.

The problem is incomplete, hence the general procedure to obtain the numeric value at x = 0 was presented.

Learn more about the numeric values of a function at brainly.com/question/28367050

#SPJ1

Answer:

r = \(\sqrt{ \frac{V}{pi h }\)

Step-by-step explanation:

V = pi r^2 h

Divide both sides by pi h

V / pi h = pi r^2 h / pi h

V / pi h = r^2

Take the square root of each side

sqrt( V / pi h)  =sqrt( r^2)

sqrt( V / pi h) = r

r = \(\sqrt{ \frac{V}{pi h }\)

The correct logarithm form is: a. log5 125 = 3

Question is about finding the logarithm form of 5³ = 125 using the given options.

The correct logarithm form is:

a. log5 125 = 3

Here's the step-by-step explanation:

1. The exponential form is given as 5³= 125.
2. To convert it to logarithm form, you have to express it as log(base) (argument) = exponent.
3. In this case, the base is 5, the argument is 125, and the exponent is 3.
4. Therefore, the logarithm form is log5 125 = 3.

To learn more about logarithm

https://brainly.com/question/12603491

#SPJ11

Answer:

5/1

Step-by-step explanation:

Answer:

5/1

Step-by-step explanation:

Answer:

a=146°

Step-by-step explanation:

a+34 =180 degree (being linear pair

a=180-34

a=146 degree

Note: A linear pair is a pair of adjacent angles formed when two lines intersect.

The average of five numbers is 15 . four of the numbers are 11,18,17, and 14 . The sum of the five numbers is 75.

Given data,

The amount that you get when you add two or more numbers together.

The average of five numbers is 15.

Four of the numbers are 11, 18, 17, and 14.

We have to find the sum of the five numbers.

Let the fifth number be x.

Then, the sum of the five numbers is:

11 + 18 + 17 + 14 + x = 60 + x

But, the average of the five numbers is 15:

Average = Sum of the numbers / Number of the numbers

Sum of the numbers = Average × Number of the numbers

Sum of the five numbers = 15 × 5

                                         = 75

Therefore, the sum of the five numbers is 75.

for such more question on sum

https://brainly.com/question/24205483

#SPJ11

Answer:

— 20x + 4y = 8 The equation represents a linear function.​. Add answer+5 pts.

Step-by-step explanation:

Answer:

6Kg

Step-by-step explanation:

Coz 1kg=100g

6kg\

=6000g

1kg=1000g

\6000g

6000g×1kg

÷1000

=6kg

Answer:

Cameron found 23 quarters and 57 dimes.

Step-by-step explanation:

Let the number of quarters Cameron found = Q

And the number of dimes = D

Since, total number of coins were 80,

Q + D = 80 -----(1)

Total amount of the coins was $11.45,

0.1D + 0.25Q = 11.45

10D + 25Q = 1145

2D + 5Q = 229 -----(2)

Equation (1) multiplied by 2 then subtracted by equation (2),

(2D + 5Q) - 2(Q + D) = 229 - 2(80)

(2D - 2D) + (5Q - 2Q) = 229 - 160

3Q = 69

Q = 23

From equation (1),

23 + D = 80

D = 57

Cameron found 23 quarters and 57 dimes.