What is one of the solutions to the following system of equations? y2 x2 = 53 y − x = 5 (−10, −5) (−7, −2) (7, 2) (5, 10).

Answer:

Graph is linked.

Step-by-step explanation:

Hope this helps! :D

Also, if it is no trouble, could I perhaps have brainliest?

Answer:

05.

Step-by-step explanation:

trust me dude i just took this question :D

The probability of taking out lavender and a rose-perfumed candle with replacement is 0.15 so option (D) will be correct.

Probability is also called the chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

Do not take underestimate probability it has several uses in daily life whether forecasts or like that.

Total number of candles = 12 + 8 + 20 = 40

Probability = desire/total

So,

Probability of taking lavender first = number of lavender/total

⇒ 12/40 = 0.3

Now since we again put the lavender into the lot it means all things remain the same.

Probability of rose-perfumed second = number of rose-perfumed /total

⇒ 20/40 = 0.5

Now the probability of A and B is the multiplication of the probability of A and B individually.

So,

The probability of taking out lavender and a rose-perfumed candle

⇒ 03 × 0.5 = 0.15

Hence "The probability of taking out lavender and a rose-perfumed candle with replacement is 0.15".

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The piecewise function for the graph is given as \(g(x)=\left \{ {{(1/3)x+3\ \ for\ (-\infty,-3)} \atop {6\ \ \ for\ \ (1,\infty)}} \right.\)

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

For (-∞, -3), the line passes through (-9, 0) and (-3, 2), hence:

y - 0 = [(2 - 0)/(-3 - (-9))](x - (-9))

y = (1/3)x + 3

For (1, ∞), y = 6

The piece wise function for the graph is given as      \(g(x)=\left \{ {{(1/3)x+3\ \ for\ (-\infty,-3)} \atop {6\ \ \ for\ \ (1,\infty)}} \right.\)

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The Solutions of the equation 27x² + 5 = 48x  are x = 1/9 ,  x = 5/3 .  .

In the question ,

it is given that ,

the equation is 27x² + 5 = 48x ,

we have to find the solution for it ,

27x² + 5 = 48x

rewriting it , we get ,

27x² - 48x + 5 = 0

27x² - 45x + 5 = 0

27x² - 3x - 45x + 5 = 0

Simplifying further , we get ,

3x(9x - 1) -5(9x - 1) = 0

taking (9x-1) common from both the terms ,

(9x - 1)(3x - 5) = 0

So , either (9x - 1) = 0 or (3x - 5) = 0

x = 1/9 or  x = 5/3

Therefore , the solution of the given equation are x = 1/9 ,  x = 5/3 .

The given question is incomplete , the complete question is

Solve the equation by factoring. check your solution. if there are multiple solutions, list the solutions from least to greatest separated by a comma.

27x² + 5 = 48x  .

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Answer: Where is the figure??

Answer:

I think it this one but picture would help...

Angle DBC and angle BDA form a pair of vertical angles, not a pair of alternate interior angles, which are congruent.  

Answer:

3 miles per hour

Step-by-step explanation:

The probability of randomly selecting an umbrella and a shaving kit in that order, given the available gifts, is 1/20.

To determine the probability of randomly selecting an umbrella and a shaving kit in that order, we need to consider the total number of possible gift combinations and the number of favorable outcomes.

Given the available gifts: umbrella, 1-ounce bottle of Midnight, feminine shaving kit, raincoat, and pair of rain boots, there are a total of 5 options.

Since Giorgio offers two free gifts, we need to calculate the probability of selecting an umbrella first and then a shaving kit.

The probability of selecting an umbrella is 1 out of 5, as there is only 1 umbrella available.

After selecting the umbrella, there will be 4 remaining options, and the probability of selecting a shaving kit is 1 out of 4, as there is only 1 shaving kit available.

To find the probability of both events occurring in sequence, we multiply the individual probabilities together:

(1/5) * (1/4) = 1/20

Therefore, the probability of randomly selecting an umbrella and a shaving kit in that order, given the available gifts, is 1/20.

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\(7 \sqrt{2} \)

Option A is correct, the  length of the diagonal of the square  is 7√2

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We have to find the length of the diagonal of the square

It forms a right triangle.

By pythagoras thoerem we find the length of diagonal

Let x be the length of diagonal

7²+7²=x²

49+49=x²

98=x²

Take square root on both sides.

√49×2 =x²

7√2=x

Hence, the  length of the diagonal of the square  is 7√2

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A comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of a rate

A rate is known as the quantity measured with respect to another measured quantity. It refers to the comparison of a part to a whole.

It is also the measure of a part with respect to a whole or a proportion.

Therefore, a comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of a rate

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Answer:

Independent - Minutes

Dependent - Push up #

Step-by-step explanation:

The minutes do not depend on anything so they would be independent. The push ups depend on how many minutes there are so it is dependent.

Hope this helps :)

The lower limit of the 90% confidence interval for the average test score of high school students in this state is 71.48.

To find the lower limit of the 90% confidence interval, we first need to calculate the margin of error using the formula:

Margin of error = z*(sigma/sqrt(n))

where z is the z-score corresponding to the desired level of confidence (90% in this case), sigma is the population standard deviation, n is the sample size, and sqrt stands for square root.

To find the value of z, we can use a standard normal distribution table or a calculator. For a 90% confidence level, the z-score is 1.645.

Plugging in the values we have:

Margin of error = 1.645*(9.1/sqrt(49)) = 2.52

Next, we can calculate the lower limit of the confidence interval by subtracting the margin of error from the sample mean:

Lower limit = sample mean - margin of error = 74 - 2.52 = 71.48

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The "central-tenet" in his system was : (d) Workers should earn "higher-wages" and work "shorter-hours", which creates new pool of consumers with income and leisure to purchase car.

Henry Ford's system, known as Fordism, was characterized by the belief that by paying workers higher wages and reducing their working hours, they would have the means and leisure time to become consumers of the products they were producing, particularly automobiles.

Ford implemented the 8-hour workday and a $5 daily wage for his workers, which was significantly higher than the prevailing wages at the time. This approach aimed to increase the purchasing-power of workers and stimulate consumer demand, ultimately benefiting the economy as a whole.

Therefore, the correct option is (d).

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The given question is incomplete, the complete question is

Henry Ford is known for refining the assembly line and the Model T. He also adopted an attitude that came to be known as Fordism. What was a central tenet in his system?

(a) Workers could easily tolerate working on an assembly line, so they should be paid lower wages and work longer hours.

(b) Workers should be drawn from a pool of immigrant labor, which was cheaper and willing to tolerate the grueling work of an assembly line.

(c) Workers should earn lower wages and work shorter hours, since they were easily replaced on the assembly line.

(d) Workers should earn higher wages and work shorter hours, creating a new pool of consumers with the income and leisure to purchase a car.

(A)  The annual effective rate of interest equivalent to a constant force of interest of 11% is approximately 11.600%. (B) The nominal rate of interest compounded semiannually approximately 5.600%. (C) The nominal rate of discount compounded quarterly is approximately 10.400%.

(A) To find the annual effective rate of interest equivalent to a constant force of interest of 11%, we can use the formula:

Effective interest rate = e^(force of interest) - 1

Applying this formula:

Effective interest rate = \(e^(0.11) - 1\)

Effective interest rate ≈ 0.116

Rounded to 3 decimal places, the annual effective rate of interest equivalent to a constant force of interest of 11% is approximately 11.600%.

(B) To find the nominal rate of interest compounded semiannually equivalent to a constant force of interest of 5.5%, we can use the formula:

Nominal interest rate = 2 * \([(e^(force of interest / 2) - 1)]\)

Applying this formula:

Nominal interest rate = 2 *\([(e^(0.055) - 1)]\)

Nominal interest rate ≈ 0.056

Rounded to 3 decimal places, the nominal rate of interest compounded semiannually equivalent to a constant force of interest of 5.5% is approximately 5.600%.

(C) To find the nominal rate of discount compounded quarterly equivalent to a constant force of interest of 10.2%, we can use the formula:

Nominal discount rate = 4 *[(1 - e^(-force of interest / 4))]

Applying this formula:

Nominal discount rate = 4 * \([(1 - e^(-0.102 / 4))]\)

Nominal discount rate ≈ 0.104

Rounded to 3 decimal places, the nominal rate of discount compounded quarterly equivalent to a constant force of interest of 10.2% is approximately 10.400%.

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Answer:

slope = 1

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (3, 2) ← 2 ordered pairs from the table

m = \(\frac{2-(-1)}{3-0}\) = \(\frac{2+1}{3}\) = \(\frac{3}{3}\) = 1

We can see that the statement is not always true for any vectors u and v in V3.

The statement is not always true.

The cross product of vectors u and v in V3 is a vector that is orthogonal to both u and v. That is,

u x v ⊥ u and u x v ⊥ v

However, this does not necessarily mean that (u x v) * u = 0 for all u and v in V3.

For example, let u = <1, 0, 0> and v = <0, 1, 0>. Then,

u x v = <0, 0, 1>

(u x v) * u = <0, 0, 1> * <1, 0, 0> = 0

So in this case, the statement is true. However, consider the vectors u = <1, 1, 0> and v = <0, 1, 1>. Then,

u x v = <1, -1, 1>

(u x v) * u = <1, -1, 1> * <1, 1, 0> = 0

So in this case, the statement is also true. However, if we take the vector u = <1, 0, 0> and v = <0, 0, 1>, then

u x v = <0, 1, 0>

(u x v) * u = <0, 1, 0> * <1, 0, 0> = 0

So in this case, the statement is true as well.

However, if we take the vector u = <1, 1, 1> and v = <0, 1, 0>, then

u x v = <1, 0, 1>

(u x v) * u = <1, 0, 1> * <1, 1, 1> = 2

So in this case, the statement is not true.

Therefore, we can see that the statement is not always true for any vectors u and v in V3.

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Answer:

52 is the correct answer :)

Answer:

The area of sector is 4.71mi^2

Step-by-step explanation:

The area of the sector that Marla needs to remove is (3/2)π square feet.

Find the area that its outer surfaces possess. Sum of all those surfaces' area is the surface area of the considered object. Area is measured in terms of standard areas. Therefore, they are relative to each other.

We normally use a square of unit length as its size. That unit can be 1 cm, 1 meter, etc.

Now when we want to find surface area of some object, then the value we get tells us that you can fit this many unit sided squares on that object's surface.

We are given that;

Central angle = 60°

The radius of the circle = 3 feet.

Now,

To find the area of the sector that Marla needs to remove, we can use the formula:

A = (θ/360)πr^2

where A is the area of the sector, θ is the central angle of the sector, r is the radius of the circle, and π is pi (approximately 3.14).

Plugging in the values we know, we get:

A = (60/360)π(3)^2 A

= (1/6)π(9) A

= (3/2)π

Therefore, the area of the fabric will be (3/2)π square feet.

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Answer:

2^(3/7)

Step-by-step explanation:

For these types of questions, what is inside the root is the numerator, and what is on top is the denominator.

3 is in the root, so it is the numerator

7 is outside the root, so it is the denominator

Therefore, The answer is 2^(3/7)

The radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

To find the radius of the silo, we need to determine the radius of the cylindrical section.

The volume of the cylindrical section can be calculated using the formula:

\(V_{cylinder} = \pi * r^2 * h\)

where \(V_{cylinder}\) is the volume of the cylindrical section, r is the radius of the cylindrical section, and h is the height of the cylindrical section.

Given that the cylindrical section is 30 ft tall, we can rewrite the formula as:

\(V_{cylinder} = \pi * r^2 * 30\)

To find the radius, we can rearrange the formula:

\(r^2 = V_{cylinder} / (\pi * 30)\)

Now, we can substitute the total volume of the silo, which is 10,000 cubic feet, and solve for the radius:

\(r^2 = 10,000 / (\pi * 30)\)

Simplifying further:

\(r^2 = 106.103\)

Taking the square root of both sides, we find:

\(r = \sqrt{106.103} = 10.3\)

Therefore, the radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

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Answer:

(2√5)/5

Explanation:

CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION

From the question we can deduced that the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal distance, we can say that the y-coordinate, is twice of the horizontal, then let call the horizontal "y", the vertical would be 2y.

from the attachment the question on the unit circle is interpreted using a figure,then, hypotenuse was first calculated

Answer:

C, 2 sqrt 5 / 5

The equation that determines the number of dogs is as follows;

4x = 16; x = 4

Julie has a total of 16 chickens. She has 4 times as many chickens as dogs,

The equation to determine the number of dogs is as follows;

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Therefore,

let

x = number of dogs

number of chickens = 4x

Hence,

4x = total number of chicken

total number of chickens = 16

16 = 4x

divide both sides by 4

4x / 4 = 16 / 4

x = 4

Hence, the equation is 4x = 16 and x = 4

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Answer:

y=-3/4x+17/2

Step-by-step explanation:

the equation for slope intercept form is y=mx+b, where m is the slope and b is the y intercept.

since we know the slope of the line, we can substitute it into the equation

y=-3/4x+b

we need to find b though.

since the equation will pass through the point (6,4) that means that if we plug it into the equation, it'll be a true statement; in this case, we can use it to solve for b.

substitute (6,4) into the equation

4=-3/4(6)+b

multiply

4=-9/2+b

17/2=b

the y intercept is 17/2

therefore the equation of the line is y=-3/4x+17/2

hope this helps :)

Hey there!

1/2 * 1/2

= 1(1) / 2(2)

= 1 / 4 ≈ 0.25

Therefore, your answer is: 1/4

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

\(-(\frac{1-2a}{a-5} )\\\frac{2a-1}{a-5}\\ = \frac{2(7) - 1}{7-5}\\=\frac{13}{2}\)

Answer:

\(\frac{5g+1}{h^2-5}\)

Step-by-step explanation:

\(\frac{6g-6}{h^2-5}\) + \(\frac{-g+7}{h^2-5}\)

Since the fractions have a common denominator of h² - 5 , then add the numerators over the common denominator

= \(\frac{6g-6-g+7}{h^2-5}\)

= \(\frac{5g+1}{h^2-5}\)