Solve by substitution (show your work)

y = -2
y = x+5

Answer:

You multiply by 6 and the 5th term is 60

Step-by-step explanation:

15*4 = 60

Answer:

multiply by 4 & the unknown number is 60

Step-by-step explanation:

3×4=12

6×4=24

9×4=36

12×4=48

15×4=60

Answer:

88:56 = 11:7

Step-by-step explanation:

Step One

Add the two ratios together 11 + 7 = 18

Now set up a ratio to solve for 11 parts out of 18

11:18 = x:144         Proportion

11 / 18 = x / 144    Equation: Cross mulitiply

11*144 = 18x         Combine the left side

1584   = 18x         Divide by 18

1584 / 18  = x

88 = x

That is the larger amount (11 is larger than 7)

Find the smaller amount

144 - 88 = 56

The two amounts are in the ratio of 11:7

88:56 = 11:7  

I hopes this helps a little  bit

Answer:

56g and 88g

Step-by-step explanation:

7x+11x=144

18x=144

x=144/18

x=8

7x=7*8=56g

11x=11*8=88g

Answer:

CannIII CANIII CAN I PUT MY BA_-

Step-by-step explanation:

According to the area of the rectangle, the dimensions of each pen will be 15.5 feet by 15.5 feet​

Area of rectangle:

Basically, the area of the rectangle refers the region occupied by a rectangle within its four sides or boundaries.

Given,

Here we need to find the dimensions of the rectangular dog park split into two pens (sharing a fence) of the same size producing the greatest enclosed area given 240 ft of fencing

Let us consider the length of the rectangle is l and the width of the rectangle is w.

Here in the given question, the length and width of the will be same.

Then the it can be calculated as,

=> 240 = s²

=> s = √240

=> s = 15.5

Therefore, the dimension is 15.5 feet by 15.5 feet.

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This is a translation of 2 units to the left and 5 units up, so the correct option is the first one.,

Remember that a vertical translation of N units is:

g(x) = f(x) + N

if N < 0 the translation is down.

if N > 0 the translation is up.

And a horizontal translation of N units is:

g(x) = f(x + N)

If N > 0 the translation is to the right.

if N < 0 the translation is to the left.

Here we have the transformation:

f(x) = x²

g(x) = (x + 2)² + 5

So this is a translation of 2 units to the left and 5 units up.

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Uncle Makhosi needs approximately 1.56 kilograms of butter.

To determine the amount of butter in kilograms, we'll use the conversion rate of 1 kg = 2.25 pounds.

First, we need to convert 3 and a half pounds to a decimal form. Since half a pound is equal to 0.5 pounds, we can express 3 and a half pounds as 3.5 pounds.

Next, we'll use the conversion rate to calculate the equivalent weight of 3.5 pounds in kilograms:

3.5 pounds * (1 kg / 2.25 pounds) = 1.56 kilograms (rounded to two decimal places).

To summarize, based on the given conversion rate of 1 kg = 2.25 pounds, Uncle Makhosi requires approximately 1.56 kilograms of butter to fulfill his 3 and a half pound requirement. This conversion can be useful when dealing with different units of measurement, allowing us to easily switch between kilograms and pounds.

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Answer with Step-by-step explanation:

$20.04-$16.44

$3.6

7. 6*$11.99=$71.4

24*$15.99=$383.76

30*$17.29=$518.7

8.

110.13 Canadian dollars

9.

a.36*$25.99

$935.64

b.$699+$935.64

$1634.64

c.No hidden fee

(a) The probability of obtaining two rods of the desired length is (100/200) * (99/199) = 0.495.

This can be found by using the formula for independent events:

P(A and B) = P(A) * P(B)

Since the two draws are of rods without replacement,

the probability of the first-rod being of the desired length = 100/200 (there are 100 desired-length rods out of a total of 200).

The probability of the second-rod being of the desired length = 99/199 (since one of the desired length rods has already been drawn). Multiplying these two probabilities gives us the answer.

(b)The probability of obtaining exactly one rod of the desired length

=(100/200) * (100/199) + (100/200) * (100/199)

= 0.990.

This can be found by using the formula for the union of two events: P(A or B) = P(A) + P(B).

Since the two draws are rods without replacement, the first draw has a probability of 100/200 of being of the desired length (there are 100 desired-length rods out of a total of 200).

The probability of the second draw being of the desired length is 100/199 (since one of the desired length rods has already been drawn). Adding these two probabilities gives us the answer.

(c) The probability of obtaining none of the desired length is (50/200) * (50/199) = 0.015.

This can be found by using the formula for independent events

: P(A and B) = P(A) * P(B).

Since the two draws are of rods without replacement, the probability of the first-rod being of the undersized length is 50/200 (there are 50 undersized rods out of a total of 200).

The probability of the second-rod being of the undersized length is 50/199 (since one of the undersized rods has already been drawn). Multiplying these two probabilities gives us the answer.

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For a bond with a bond price of $475, the bond-equivalent yield to maturity for a 10-year term is calculated as follows:2 * [(1,000 - 475) / 1,000] * [365 / 10] = 8.38%

The bond price, maturity (years), and maturity in the bond-equivalent yield to maturity (%) table given for zero-coupon bonds with par values of $1,000, assuming annual compounding is:Answer:Explanation:Zero-coupon bonds do not provide periodic interest payments, as opposed to typical bonds, but rather pay a lump sum at maturity. Zero-coupon bonds are sold at a discount price, which is calculated using the bond's face value and yield to maturity.

The bond-equivalent yield to maturity is a fixed-income securities calculation that expresses an annual bond yield in terms of a bond's price. To determine the bond-equivalent yield, use the following equation:2 * [(Face Value - Price) / Face Value] * [365 / Days Until Maturity]

To determine the bond price for a bond with a face value of $1,000 and a bond-equivalent yield to maturity of 5%, the bond price is calculated as follows:$1,000 / (1 + 0.05)^10 = $613.91For a bond with a bond price of $445, the bond-equivalent yield to maturity for a 10-year term is calculated as follows:

2 * [(1,000 - 445) / 1,000] * [365 / 10] = 9.39%For a bond with a bond price of $490, the bond-equivalent yield to maturity for a 15-year term is calculated as follows:2 * [(1,000 - 490) / 1,000] * [365 / 15] = 5.86%.

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The bond-equivalent yield to maturity for a zero-coupon bond can be calculated using the formula: Yield = [(Face Value / Price)^(1 / Number of Years)] - 1. The values are then 8.47% for a $445 bond maturing in 10 years, 3.54% for a $490 bond maturing in 15 years, and 7.83% for a $475 bond maturing in 10 years.

The zero-coupon bond is a type of bond that does not pay periodic interest. Instead, it is sold at a discount from its face value and pays out its face value when it matures. The bond-equivalent yield to maturity can be calculated using the following formula:

Yield = [(Face Value / Price)^(1 / Number of Years)] - 1

Therefore, the completed table becomes as below:

Bond Price ($)  Maturity (years) Bond-Equivalent Yield to Maturity   445  10 8.47%   490  15 3.54%   475  10 7.83%

Note: The bond-equivalent yield to maturity is rounded to two decimal places.

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the %Cr in the complex is 26.294%.

To determine the % Cr in the chromium-complex Legna synthesized, she massed out a 1.0240 g sample of the Cr complex. She dissolved the sample in a volumetric flask and made 100.0 mL of solution. From the standard curve of Absorbance versus concentration Legna obtained [Cr3+]=0.03933 M. Calculate the %Cr in the complex.

To determine the % Cr in the chromium-complex synthesized by Legna, we can use the following formula:% Cr = (mass of Cr/mass of sample) x 100We have the mass of the sample, which is 1.0240 g. We need to find the mass of Cr in the sample. To do this, we need to find the number of moles of Cr in the solution, and then use the molar mass of Cr to convert this to mass.

The concentration of Cr3+ in the solution is given as 0.03933 M. We know that the complex is made up of Cr and some other ligands, and the concentration of Cr3+ is not the same as the concentration of Cr in the complex. To find the concentration of Cr in the complex, we need to use the formula:[Cr] = [Cr3+] x (1/x), where x is the number of moles of Cr3+ in the complex.

Let's assume that there is one mole of Cr3+ in the complex, then x = 1. If there are n moles of Cr3+ in the complex, then x = n. We can find x by using the formula:x = (mass of sample/Mr of Cr3+) x [Cr3+]/volume of solutionWe know that the mass of the sample is 1.0240 g, and the volume of the solution is 100.0 mL = 0.1000 L. The molar mass of Cr3+ is 52.00 g/mol. Substituting these values into the formula, we get:x = (1.0240/52.00) x 0.03933/0.1000x = 0.000761 moles of Cr3+ in the complex

Now we can use the formula [Cr] = [Cr3+] x (1/x) to find the concentration of Cr in the complex:[Cr] = 0.03933/0.000761[Cr] = 51.69 M

Finally, we can use the formula:% Cr = (mass of Cr/mass of sample) x 100The molar mass of Cr is 52.00 g/mol. The mass of Cr in the complex is 51.69 x 52.00 = 2689.88 g/mol. Substituting this value and the mass of the sample (1.0240 g) into the formula, we get:% Cr = (2689.88/1.0240) x 100% Cr = 262944.53% Cr = 26.294%

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Answer:

8 and 5

Step-by-step explanation:

8 - 5 = 3

8 + 5 = 13

Answer:

8 and 5

Step-by-step explanation:

8 - 5 = 3

8 + 5 = 13

Given:

A quadrilateral QRST.

To find:

The coordinates of Q' after the transformation of \((T_{<-1,2>}\circ R_{x-axis})(QRST)\).

Solution:

From the given figure, it is clear that

\(Q=(1,3)\)

\((T_{<-1,2>}\circ R_{x-axis})(QRST)\) means the figure QRST first reflected across the x-axis, then translated by \(T_{<-1,2>}\).

Figure QRST reflected across the x-axis, then

\((x,y)\to (x,-y)\)

\(Q(1,3)\to Q_1(1,-3)\)

After that, it is translated by \(T_{<-1,2>}\).

\((x,y)\to (x-1,y+2)\)

\(Q_1(1,-3)\to Q'(1-1,-3+2)\)

\(Q_1(1,-3)\to Q'(0,-1)\)

Therefore, the coordinates of Q' are (0,-1).

Note: All options are incorrect.

The coordinates of K = (0, -7.5) and the scale factor is 8/5.

Consider the following figure of triangles.

△BOK and ΔPOS.

Since △BOK∼ ΔPOS, the sides of △BOK and ΔPOS must be in proportion. (from definition of triangle similarity)

i.e., OP / OB = OS / OK = PS/BK

Consider an equation,

OP / OB = OS / OK

From the diagram:

OP = 8, OB = 5, OS = 12

Substitute these values in above equation.

8/5 = 12/OK

OK = 60/8

OK = 7.5

We can observe that OK is the distance of point K from origin 'O'

So, the coordinates of K would be (0, -7.5)

And the scale factor is 8/5.

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By using the inverse function definition and the fact that: f⁻¹(y) = x, we will see that the point that must be on the inverse function is (5, -7)

For an invertible function f(x), we define its inverse f⁻¹(x) such that:

if f(x) = y

then:

f⁻¹(y) = x

And because of that, we have the properties:

f(f⁻¹(x) ) = x

f⁻¹( f(x)) = x

Then if the point (-7, 5) is on the function f(x), this means that:

f(-7) = 5

And using the inverse property, we know that:f⁻¹(5) = -7

Then the point that lies on the inverse function is (5, 7), the correct option is the first one.

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To approach this type of problem, you have to make a couple of reasonable assumptions - first, that each worker works at the same pace, and second, that the effort to build each wall is the same.

Next, figure out how much effort is required to build one wall. The effort is measured in “working days”. So, how many days does one worker need to build one wall, or how many workers would be required to build one wall in one day? We can calculate this by dividing the 25 worker days used to build five walls by the number of walls (5). So we need five worker days per wall.

(5 workers) x (5 days) = 25 worker-days;

25 worker days/5 walls = 5 worker days per wall.

With 100 workers, it will take five days to build 100 walls. Each worker will build one wall in 5 days. So it will also take 5 days for all 100 workers to build all 100 walls.

100 x 5 = 500 worker days;

500 worker-days / 100 workers = 5 days (answer)

The 99% confidence interval for the difference between the two population proportions (p1 - p2) is (0.053, 0.140).

The 99% confidence interval for the difference between two population proportions (p1 - p2) can be calculated using the formula:

CI = (p1 - p2) ± Z * sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2))

\(CI = (p1 - p2)\) ± \(Z * \sqrt{((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2))}\)

In this case, x1 = 112, n1 = 718 (experimental group), x2 = 56, and n2 = 623 (control group). The proportions can be calculated as p1 = x1 / n1 and p2 = x2 / n2.

Substituting the given values, we have p1 = 112 / 718 = 0.156 and p2 = 56 / 623 = 0.090.

To find the Z-value for a 99% confidence level, we look up the corresponding critical value in the standard normal distribution table, which is approximately 2.58.

Plugging in the values, we can calculate the confidence interval as follows:

CI = (0.156 - 0.090) ± 2.58 * \(\sqrt{((0.156 * (1 - 0.156) / 718) + (0.090 * (1 - 0.090) / 623))}\)

= (0.066) ± 2.58 * \(\sqrt{(0.000160 + 0.000123)}\)

= (0.066) ± 2.58 * \(\sqrt{0.000283}\)

= (0.066) ± 2.58 * 0.0168

= (0.066) ± 0.0434

= (0.053, 0.140)

Therefore, the 99% confidence interval for the difference between the two population proportions is (0.053, 0.140).

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Given, the height \($h=6$, the base $b_1=9$ and $b_2=12$.\)

The area of the trapezoid is given by the formula,

\(\[A = \frac{1}{2}h(b_1+b_2)\]\)

Substitute the given values,  

\(\[A = \frac{1}{2} \times 6 \times (9+12)\]\\\)

Simplifying the above expression,

\(\[A = 45 \text{ square feet}\]\)

Therefore, the area of the trapezoid is $45$ square feet.

The perimeter of a two-dimensional geometric shape is the entire length of the boundary or outer edge. It is the sum of the lengths of all the shape's sides or edges.

The perimeter of a square, for example, is calculated by adding the lengths of all four sides of the square.

Similarly, to find the perimeter of a rectangle, sum the lengths of two adjacent sides and then double the result because there are two pairs of adjacent sides.

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The domain is all real numbers and the Range is y ≥ 3.The correct answer is option A.

To determine the domain and range of the quadratic function based on the given table, let's analyze the values.

Domain represents the set of possible input values (x-values) for the function.

Range represents the set of possible output values (y-values) for the function.

From the given data:

x = -1, 0, 1, 4

y = 5, 3, 3, 5, 35

Looking at the x-values, we can see that the function has values for all real numbers. Therefore, the domain of the function is "all real numbers."

Now, let's consider the y-values. The minimum value of y is 3, and there are no y-values less than 3.

Additionally, the maximum value of y is 35. Based on this information, we can conclude that the range of the function is "y ≥ 3" since all y-values are greater than or equal to 3.

Therefore, the correct answer is:A. Domain: all real numbers

Range: y ≥ 3

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The probable question may be:

The table below represents a quadratic function. Use the data in the table to determine the domain and range of the function.

x= -1,0,1,4

y= 5,3,3,5,35

A. Domain: all real numbers Range: y ≥3

B. Domain: all real numbers

Range: x≥0

c. Domain: all real numbers

Range: y ≥0

D. Domain: all real numbers

Range: y ≤3

Alanna will therefore receive $2,560 in commission for a $32,000 transaction.

A ratio or figure expressed as a fraction of 100 is called a percentage. Since "percent" is a slang term for "per hundred," when we discuss percentages, we actually mean parts per hundred. It is frequently represented by the sign %. To express your score as a percentage, divide your real score by the range of possible scores, multiply the result by 100, for instance, if you received an 80 out of 100.Your percentage result in this situation would be: % equals (80/100) times 100. Number equals 80%

given

We must multiply the transaction amount by the commission rate in order to determine the commission that Alanna will receive.

Sale amount x Commission percentage equals commission.

The fee rate is stated as 8%, which is equivalent to 0.08 in decimal form.

Consequently, Alanna's commission on a $32,000 transaction is as follows:

$32,000 multiplied by 0.08 of a commission equals $2,560.

Alanna will therefore receive $2,560 in commission for a $32,000 transaction.

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Answer:

x = 50°

Step-by-step explanation:

130 and x are adjacent angles on a straight line and sum to 180° , so

x + 130° = 180° ( subtract 130° from both sides )

x = 50°

Step-by-step explanation:

The formula for probability is favourable outcome/ Total outcome. So the answer might be 7/30.

The equation of the function g(x) is (a)  g(x) = 10^(x - 3)

From the question, we have the following parameters that can be used in our computation:

Function f(x) = 10^x

On the above points, we can see that the difference between the x values of f(x) and that of g(x) is 3

This means that

g(x) = f(x - 3)

So, we have

g(x) = 10^(x - 3)

Hence, the function is (a)  g(x) = 10^(x - 3)

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Answer:

−4x−6

Step-by-step explanation:

Distribute the Negative Sign:

=2(x+2)−x+3(−x−2)+−1(2x+4)

=2(x+2)+−x+3(−x−2)+−1(2x)+(−1)(4)

=2(x+2)+−x+3(−x−2)+−2x+−4

Distribute:

=(2)(x)+(2)(2)+−x+(3)(−x)+(3)(−2)+−2x+−4

=2x+4+−x+−3x+−6+−2x+−4

Combine Like Terms:

=2x+4+−x+−3x+−6+−2x+−4

=(2x+−x+−3x+−2x)+(4+−6+−4)

=−4x+−6

Answer:

-4x - 6

Step-by-step explanation:

2(x+2)−x+3(−x−2)−(2x+4)

Distribute the Negative Sign:

=2(x+2)−x+3(−x−2)+−1(2x+4)

=2(x+2)+−x+3(−x−2)+−1(2x)+(−1)(4)

=2(x+2)+−x+3(−x−2)+−2x+−4

Distribute:

=(2)(x)+(2)(2)+−x+(3)(−x)+(3)(−2)+−2x+−4

=2x+4+−x+−3x+−6+−2x+−4

Combine Like Terms:

=2x+4+−x+−3x+−6+−2x+−4

=(2x+−x+−3x+−2x)+(4+−6+−4)

=−4x+−6

Answer: 0.21

Step-by-step explanation:

2π/40t

Explanation:

There are 2π radians in a full rev

2πR/3 Rev/ min =   2/3π minutes per rev    

R= 2.0944 min per rev

Period is 2/3π

2π/x = 2/3π    

∴ x = 3

∴sin xt = sin 3t

He starts at 3 o'clock position which is 1/2 way between low and high points, so there is no phase shift

Amplitude = 44                

44 sin 3t    = height above center

Height above ground is shifted by 48 feet up from center        

∴ 44 sin (3t) + 48  would be height above ground   ( at time = 0 he is 48 ft above ground)

1/64 fraction is equal to 0.015625 in decimal form.

To change the fraction 1/64 to a decimal, we need to perform division.

1 divided by 64 can be written as:

0.015625

----------

64 | 1.000000

   0

  10

   0

The result of the division is 0.015625. This means that 1/64 is equal to 0.015625 in decimal form.

Note that in this case, we carried the division out to six decimal places, but the question specified that we should carry it out to three decimal places. In that case, we would round the answer to 0.016.

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Answer:

it's 42 count by 7 hope this helps

Answer:

See below

Step-by-step explanation:

NOTE: I changed 10 cm   to   10 meters  to solve this....  In order to get 7 m as an answer !!

Answer:

Explained below

Step-by-step explanation:

The X-Intercepts of a parabola is when the quadratic is set equal to 0. This makes y equal to 0 which is the definition of a root. anything 0,inf is on the x-axis and is an intercept.