urgent help needed w this pls

Answer:

Let the width equal x Let the length equal x + 3 Next, the formula for determining the perimeter of a rectangle is as follows: P = 2 (L + W) or P = 2 (L) + 2 (W) where P equals the perimeter, L equals the length, and W equals the width.

Step-by-step explanation:

The length of the rectangle is 18.75 inches and the breadth of the rectangle is 6.25 inches.

Let,         the breadth of the rectangle (b)= x

      then the length of the rectangle (l) = 3x    

                                                        (since the length is 3 times its breadth)

We know that the perimeter of a rectangle (p) = 2 (l+b)

                 where, l = length of the rectangle

                             b = breadth of the rectangle  

According to the question,   P = 50

                          P = 2 (l+ b)

                                                       (Put all the values in the equation)

                         50 = 2(3x + x)

                         50 = 2(4x)

                         8x = 50

                           x = 50/8

                              = 6.25

        if x =6.25, then 3x = 3* 6.25 = 18.75

Hence, the length of the rectangle is 18.75 inches and the breadth of the rectangle is 6.25 inches.

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Answer:

i don't know br

Step-by-step explanation:

Sorry but this is like college stuff:(

600 ≤ X < 950 are the possible values of the number of dollars in the original pile of money.

The difference between the highest and lowest values in statistics for a particular data collection is called the range. As an illustration, if the data set contains 1, 5, 8, 12, 3, the range will be 12 - 1 = 11. The difference between the greatest and lowest observation might thus also be used to determine the range.

We need to first put the data in ascending order before we can determine the range of a particular set of observations. To determine the range, calculate the difference between the highest and minimum values afterwards.

Let X be the amount in the pile.

What is left after putting $200 in the pile = X - $200

4/5 = 0.8

What she gives away = 0.8 (X - 200)

The remaining is : 0.2 (X - 200) what she puts in her right pocket.

200 + 0.2(X - 200) > X - 600

200 - 0.2X - 40 > X - 600

Solving the inequality we have :

= 160 + 0.2x > X - 600

= 760 > X - 0.2X

= 760 > 0.8X

= 950 > X

This implies : X < 950

It is said : X ≥ 600

The possible range of X is thus : 600 ≤ X < 950

thus, 600 ≤ X < 950 are the possible values of the number of dollars in the original pile of money.

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Yes, the equation Y = 2/3x represents a proportional relationship.

If one variable is always equal to a constant multiplied by the other variable(quantity), then we can say that those variables are in a proportional relationship.

In the direct relationship between two quantities, if one quantity increases, the other quantity also increases and vice-versa.

For example, if each square foot of carpet costs $1.50, then the cost of the carpet is proportional to the number of square feet. The direct proportion relationship is written as y ∝ x.

y = kx where k is the constant of proportionality.

The constant of proportionality is 2/3. It tells us that for every 1 unit increase in x, Y increases by 2/3 units.

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The area of the triangle with three points spaced equally around a circle of radius 1 is 8√3.

The area of the triangle can be calculated using Heron's formula:

Area = √(s(s-a)(s-b)(s-c))

where s is the semiperimeter of the triangle and a, b, c are the side lengths.

The semiperimeter can be calculated as follows:

s = (a + b + c)/2

For this triangle, the side lengths are:

2, 2√2, and 2

Therefore, the semiperimeter is

s = (2 + 2√2 + 2)/2 = 4√2

The area of the triangle is then:

Area = √(4√2(4√2-2)(4√2-2√2)(4√2-2))

    = √(4√2*2√2*2*2)

    = 8√3

The area of the triangle with three points spaced equally around a circle of radius 1 is 8√3.

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Answer:

Say you take a pizza and cut it perfectly down the middle so there are two slices. Each slice is a half or 1/2 of the pizza.

The number of columns in the first matrix must equal the number of rows in the second matrix in order to multiply matrices with different dimensions.

    3. Determine the dot product of the corresponding row in matrix A          and the corresponding column in matrix B for each element in matrix C.

    4: The final response is matrix C, which is the union of the 2x3 matrix A and the 3x4 matrix B.

     Therefore, the result is a 2x4 matrix, which is produced by taking the dot product of the rows and columns of matrix A and matrix B.

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The value of x that makes the point (x,y) lies on both the line and the parabola is x = 0 and x=1.

The values of x for which the point (x,y) lies on both the line and the parabola, we set the equation of the line y = 4x equal to the equation of the parabola y^2 = 16x.

By substituting y = 4x into the equation of the parabola we get (4x)^2 = 16x and further simplifying it results in 16x^2 = 16x.

so x=1 and x=0

This means that x = 0 and x=1 is the solution that makes the point (x,y) lies on both the line and the parabola and any other value of x will not make the equation true.

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Complete question:

The values of x for which the point (x,y) lies on both the line and the parabola satisfy the quadratic equation:

The equation of line is y = 4x

equation of parabola is [tex]y^2[/tex] = 16x

Answer:

Your three angle measurements are 45, 45, and 90

Step-by-step explanation:

Since we know that all the measures of a triangle add up to 180, we have:

45 + b + c = 180

Then, since it is a right triangle, we know one of the sides is 90 degrees, giving us:

45 + 90 + c = 180

Then subtract 135 from both sides:

c = 45

So, your three angle measurements are 45, 45, and 90.

Hope this helped!

Portus has four 1-cent stamps, three 5-cent stamps, and three 25-cent stamps. 79 different postage amount of at least one cent can postbus make.

We can get the sums of 1 cent, 2 cents, 3 cents and 4 cents by combining one 1-cent coin, two 1-cent coins, three 1-cent coins and four 1-cent coins, respectively. i.e., 4 different sums.

We can get three sums of 5 cents, 10 cents, and 15 cents by combining mean five-cent coins., i.e. 3 different sums.

 we can get three sums of 25 cents, 50 cents, and 75 cents by combining means twenty-five-cent coins. i.e,3 different sums.

Now,

4*3 = 12 different sums by combining 4 one-cent coins with 3 five-cent coins.

Again,  

Now,

add all these combinations:

    4 + 3 + 3 + 12 + 12 + 9 + 36 = 79.

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The perimeter of the picture is 20f-8 inches.

Sides of the picture = 5f-4

Inches added to the picture = 2

The perimeter of a two-dimensional form, like a square or a rectangle, is the space surrounding its edge. It is frequently employed to gauge a parcel of land's dimensions or the width of a fence.

Since two inches are added, therefore after framing the side length becomes-

5f-4+2

= 5f-2

The perimeter of the square is given as

= side x 4 or 4s

Therefore, the perimeter of the framed picture will be given as -

= 4(5f-2)

= 20f - 8

The perimeter can also be found by adding the side length four times. This can be noted as -

5f-2 + 5f-2 + 5f-2 + 5f-2

= 20f - 8

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A scatterplot that shows a negative linear association.

A scatterplot that is most likely to have a line of best fit represented by the equation y = -5x + 2 is the one where the data points have a strong negative linear association. This means that as the x-values increase, the y-values decrease. The slope of the line is -5, which is negative, indicating a negative association. The y-intercept of the line is 2, which represents the point where the line crosses the y-axis.

A scatterplot that shows a negative linear association would have its points distributed in a downward direction from left to right, with a slope of -5.

Therefore, A scatterplot shows a negative linear association will most likely have a line of best fit

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Answer:

5 notepads

Step-by-step explanation:

We know

Kristin spent $25 on a magazine and some notepads

1 magazine = $5

1 notepad = $4

$25 - $5 = $20

How many notepads did she buy?

We take

$20 divided by $4 = 5 notepads

So, she bought 5 notepads

Answer:

5 notepads

Step-by-step explanation:

25=4x+5

subract 5 from 25 and cancel out old 5

20=4x

divide by 4

20/4 = 5

the equation of the line tangent to the function at (3, 6) is y = 11x - 21.

1. f(x) = x^2 + 5x - 6, at (3, 6)

Answer: y = 8x - 21

f'(x) = 2x + 5

f'(3) = 2(3) + 5 = 11

The equation of the line tangent to the function at (3, 6) is y = 11x - b.

Substitute 6 for y and 3 for x to get 6 = 11(3) - b

Solve for b to get b = 21

Therefore, the equation of the line tangent to the function at (3, 6) is y = 11x - 21.

The equation of the line tangent to the function at (3, 6) is y = 8x - 21. This equation is in slope-intercept form, where the slope is 8 and the y-intercept is -21. The slope of the line is equal to the derivative of the function at x = 3, which is 2x + 5 = 11. Therefore, the equation of the line tangent to the function at (3, 6) is y = 8x - 21.

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Answer:

Yes, they are similar by SSS

Answer:

y=11.547004; x= 23.094008.

Step-by-step explanation:

Since 20 = y*sqrt*3; y=11.547004; x= 23.094008.

Answer:

money. you need to know how to count your money so nobody cheat you out of it

Answer: 51.5 degrees

Step-by-step explanation:

The measure of the included angle is about 51.5 degrees. To find this, we can use the law of sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle. So, we can set up an equation using the information given: (area)/(0.5*(1.1)(6.6)) = (sin(x)) where x is the included angle. We know that area is 2, so we can put it in the equation: (2)/(0.5(1.1)(6.6)) = (sin(x)) .

Then using sin(x) = 2/(0.5(1.1)*(6.6)) , we can use a calculator to find the sin(x) = 0.094.

and then using a calculator, we can find that x = sin^-1 (0.094) ≈ 5.2 radians. To convert it to degrees, we can multiply it by 180/π ≈ 57.3. So the measure of the included angle is about 57.3 degrees. To the nearest tenth of a degree, it is 57.3, but it can also be rounded off to 51.5 degrees.

just an addition to the decent reply above

[tex]\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \stackrel{\textit{we will be using this rule}}{a^{log_a x}=x} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]f(x)=\log_a(x-h) \\\\[-0.35em] ~\dotfill\\\\ 1=\log_a(\frac{3}{2}-h)\implies a^1=a^{\log_a(\frac{3}{2}-h)}\implies a^1=\cfrac{3}{2}-h\implies a=\cfrac{3}{2}-h \\\\[-0.35em] ~\dotfill\\\\ -1=\log_a(3-h)\implies a^{-1}=a^{\log_a(3-h)}\implies a^{-1}=3-h\implies \cfrac{1}{a}=3-h \\\\\\ 1=(3-h)a\implies 1=(3-h)\left( \cfrac{3}{2}-h \right)\implies 1=(3-h)\left( \cfrac{3-2h}{2} \right) \\\\\\ 2=(3-h)(3-2h)\implies 2=9-9h+2h^2\implies 0=2h^2-9h+7[/tex]

[tex]0=(h-1)(2h-7)\implies \boxed{h= \begin{cases} 1\\\\ \frac{7}{2} \end{cases}}\hspace{5em}a=\cfrac{3}{2}-h\implies \boxed{a= \begin{cases} \frac{1}{2} ~~ ~~ \checkmark\\\\ -2 ~~ \bigotimes \end{cases}} \\\\\\ ~\hfill {\Large \begin{array}{llll} f(x)=\log_{\frac{1}{2}}(x-1) \end{array}} ~\hfill[/tex]

now, why we didn't use the negative value for the base "a"?

from the standpoint of a negative value raised to some exponent, is perfectly fine, however if we plug that in the change of base rule, we run into a really hot pickle.

Answer:

[tex]f(x)=\log_{\frac{1}{2}}(x-1)[/tex]

Step-by-step explanation:

Use the given points to assist in determining the logarithmic function of the given graph in the form:

Substitute the given points (³/₂, 1) and (3, -1) into the formula to create two equations:

[tex]\log_a\left(\dfrac{3}{2}-h\right)=1[/tex]

[tex]\log_a\left(3-h\right)=-1[/tex]

[tex]\boxed{\begin{minipage}{4 cm}\underline{Low law}\\\\$\log_ab=c \iff a^c=b$\\ \end{minipage}}[/tex]

Apply the log law and rearrange each equation to isolate a:

Equation 1

[tex]\begin{aligned}\log_a\left(\dfrac{3}{2}-h\right)&=1\\\\\implies a^1&=\dfrac{3}{2}-h\\\\ a&= \dfrac{3}{2}-h\end{aligned}[/tex]

Equation 2

[tex]\begin{aligned}\log_a\left(3-h\right)&=-1\\\\\implies a^{-1}&=3-h\\\\ \dfrac{1}{a}&=3-h\\\\a&=\dfrac{1}{3-h}\end{aligned}[/tex]

Substitute the first equation into the second to eliminate a:

[tex]\dfrac{3}{2}-h=\dfrac{1}{3-h}[/tex]

Solve for h:

[tex]\implies \dfrac{3}{2}-h=\dfrac{1}{3-h}[/tex]

[tex]\implies \dfrac{3-2h}{2}=\dfrac{1}{3-h}[/tex]

[tex]\implies (3-h)(3-2h)=2[/tex]

[tex]\implies 9-9h+2h^2=2[/tex]

[tex]\implies 2h^2-9h+7=0[/tex]

[tex]\implies 2h^2-2h-7h+7=0[/tex]

[tex]\implies 2h(h-1)-7(h-1)=0[/tex]

[tex]\implies (2h-7)(h-1)=0[/tex]

[tex]\implies h=\dfrac{7}{2},\;1[/tex]

Substitute both values of h into the equations for a:

[tex]h=\dfrac{7}{2}\implies a=\dfrac{3}{2}-\dfrac{7}{2}=-2[/tex]

[tex]h=\dfrac{7}{2}\implies a=\dfrac{1}{3-\dfrac{7}{2}}=-2[/tex]

[tex]h=1\implies a=\dfrac{3}{2}-1=\dfrac{1}{2}[/tex]

[tex]h=1\implies a=\dfrac{1}{3-1}=\dfrac{1}{2}[/tex]

Therefore, the two values of h given is two possible values of a. Since a is the base of the function, and the bases of logarithmic function cannot be negative, the value of a cannot be -2.  Therefore, the only valid value of a is ¹/₂.

Similarly, logs of negative numbers are undefined, therefore the value of h cannot be ⁷/₂ since this would make the argument negative for the points given.  Therefore, the only valid value of h is 1.

Inputting the found values of a and h into the given formula, the logarithmic function of the given graph is:

The interest generated in Pauls savings account is $4.68

The amount generated in Larissa's savings account is $5015.80

Compound interest is interest that builds up over a certain length of time on both principal and interest. The principle is also used to account for the interest that has accrued on a principal over time. Furthermore, the cumulative principal value is used to calculate interest for the subsequent time period. The new way of calculating interest now utilized in all international financial and commercial operations is known as compound interest. When we look at the compound interest values that have built over various time periods, the power of compounding is clearly apparent.

The interest that is paid on both principle and interest and is compounded on a regular basis is known as compound interest. The interest is calculated for the new principal at regular intervals when the accumulated interest and the current principal are combined. The initial principal plus the interest that has already accrued make up the new principal.

The initial principal(p) of Paul is $1000

rate(r) is 5.5%

Number of days(t) = 20th March to 20th April = 31 days = 31/365 years

So the Amount generated =[tex]p * (1 + \frac{r}{365})\x^{365*t}[/tex]

⇒ A = [tex]1000* (1 + \frac{5.5}{100*365})\x^{31} = 1000*1.00468 = 1004.68[/tex]

The interest generated = 1004.68 - 1000 = $4.68

Similarly for Larissa

time = 24th Feb to 17th March = 21 days = 21/365 years

So the Amount generated =[tex]p * (1 + \frac{r}{365})\x^{365*t}[/tex]

⇒ A = [tex]5000* (1 + \frac{5.5}{100*365})\x^{21} = 5000*1.00317 = 5015.80[/tex]

The amount generated is $5015.80

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The solution for the variable of each expression is given as follows:

D) 3 - 2(s - 1) = 13 + 6s: s = -1.

E) 2(n + 9) = -6(2n - 5) + 8: n = 10/7.

F) 5(4k - 3) - 5k = 10 + 2(3k + 1): k = 3.

The expressions are solved applying the distributive property when needed, then combining the like terms, and finally isolating the variable.

The expression for item d is given as follows:

3 - 2(s - 1) = 13 + 6s

Hence:

3 - 2s + 2 = 13 + 6s -> Distributive property.

8s = 5 - 13 -> Combine the like terms.

8s = -8

s = -8/8

s = -1.

The expression for item e is given as follows:

2(n + 9) = -6(2n - 5) + 8

2n + 18 = -12n + 30 + 8 -> Distributive property.

14n = 20 -> Combine the like terms.

n = 20/14

n = 10/7.

The expression for item f is given as follows:

5(4k - 3) - 5k = 10 + 2(3k + 1)

20k - 15 - 5k = 10 + 6k + 2

15k - 15 = 12 + 6k

9k = 27

k = 27/9

k = 3.

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Answer:

y ≤ x-2

y > -x + 5

y ≤ 3

y ≥ 0

Step-by-step explanation:

all answers have y ≥ 0 and y ≤ 3

next, we want to figure out if y < -x + 5 or y > -x + 5

plotting the line with a few points (e.g. (0,5), (5,0)), we can tell the red dotted line is y = -x + 5. the shaded area is above it, so we can say that y > -x + 5

similarly, we can tell the blue line is y = x-2. the shaded values are below it, so we can say that y ≤ x-2

Answer:

1000/39

Step-by-step explanation:

Answer:

It is 1/2

Probability is (No of favourable outcomes/ No. of possible outcomes )

or 4/8 = 1/2

Answer:

1/2

Step-by-step explanation:

hope this helps.

The required number of ways in which we can create a committee with 2 women and 2 men is 60.

Given:

We have 4 women and 5 men.

The required number of ways in which we can create a committee with 2 women and 2 men can be calculated as:

= 4C2 × 5C2

= 4!/(2!)(2!) × 5!/(2!)(3!)

= 6 × 10

= 60

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1) The bowler's scores are shown on the horizontal axis, while the frequency is shown on the vertical axis.

2) Groups of 20 points are assigned to the scoring.

3) There are 30 bowlers competing.

4) The distribution is skewed towards the left.

A histogram is a bar graph that shows data that has been divided into equal intervals in terms of frequency. The bars must touch but not overlap, and they must be of equal width.

1) A histogram shows the type of data being measured on the horizontal axis and the number of observations in each bin on the vertical axis.
Here, the horizontal axis displays the bowlers' scores, and the vertical axis displays the frequency at each interval.

2) The categories or bins of the data are listed on the horizontal axis of a histogram. The height of the columns, which represents the frequency or quantity of the occurrences, is listed on the vertical axis.
Here, the scores are arranged into 20-point groups.

3) From the histogram, it is interpreted that:

Bowlers = 2 + 4 + 6 + 8 + 9 + 1 = 30

Therefore, 30 bowlers compete

4) The distribution is skewed left. A distribution is said to be "skewed left" if the tail is to the left. The procedure of determining a "typical value" for the distribution is philosophically more challenging when the distribution is skewed.

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The amount of vanilla extract that will be needed to be able to make 2 dozen cookies is 2 teaspoons of vanilla extract

The recipe given will be able to yield 1 . 5 dozen of Oatmeal Raisin Cookies  which means that the 1 . 5 teaspoons of vanilla extract will be needed for 1. 5 dozens of Oatmeal Raisin Cookies.

If you are to make 2 dozen cookies therefore, it means that the recipe would require a higher amount of vanilla extract which can be found by the formula:

= ( Dozen cookies needed x teaspoons in  1 .5 dozen ) / 1 . 5 dozen

= ( 2 x 1 . 5 ) / 1 . 5

= 2 teaspoons of vanilla extract

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Answer:

You would get your first ace at card 10.6 or about card 11.

The volume of the sphere with a great circle of radius 12 cm is 7238.2 cm³. The correct option is A) 7,238.2 cm3

From the question, we are to calculate the volume of the sphere with the given radius.

From the formula for calculating the volume of a sphere, we have that

V = 4/3πr³

Where V is the volume

and r is the radius

From the given information,

The sphere has a great circle of radius 12 cm

Thus,

r = 12 cm

Substitute the value of r into the equation,

V = 4/3πr³

That is,

V = 4/3 × π × 12³

V = 4/3 × π × 1728

V = 4 × π × 576

V = 4 × 576 × π

V = 2304π

V = 7238.2 cm³

Hence, the volume is 7238.2 cm³

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By means of ratio properties, the simplified form of ratio 1.5 : 20 is equivalent to ratio 3 : 40.

Ratios are relationships between two real numbers of the form a : b, the simplification of ratios can be done by using the following ratio property:

Simplification property for ratios

a : b ← (a · c) : (b · c)

Where a, b, c are real numbers.

The purpose of ratio simplification is to eliminate any decimal number in a ratio. If we know that a = 1.5, b = 20 and c = 2, then the simplified form of the ratio is:

1.5 : 20 → (1.5 · 2) : (20 · 2)

(1.5 · 2) : (20 · 2) = 3 : 40

By ratio properties, ratio 3 : 40 is the simplified form of ratio 1.5 : 20.

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