= –5x + 30 x = 10 What is the solution to the system of equations? (–20, 10) (10, –20) (10, 4) (4, 10)

Answer:

x=-2

Step-by-step explanation:

A testable prediction of what will happen under a specific set of conditions is known as a hypothesis.

A hypothesis is a tentative explanation or prediction about a phenomenon or relationship between variables, based on limited evidence or prior knowledge. It is often formulated as a statement that can be tested through research or experimentation.

A hypothesis typically includes an independent variable (the variable that is being manipulated or studied) and a dependent variable (the variable that is being measured or observed). The hypothesis also includes a prediction about how the independent variable will affect the dependent variable.

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The horses at most can live in the stables is 21

What Does the Area of a Rectangle Mean?

The area is the amount of space occupied by a flat surface with a particular shape. A "number of" square units are used in the calculation (square centimeters, square inches, square feet, etc.) An area is the number of unit squares that can fit inside a rectangle. Examples of rectangular shapes include the flat surfaces of laptop monitors, blackboards, painting canvases, etc. Use the area formula for the rectangle to calculate the area that these objects take up. Think about a rectangle that is 4 inches long and 3 inches wide, for example.

Given That

Rectangle Stables will have total dimensions of 30 yards by 10 yards
Length = 30 yards
Breath = 10 yards
Total Area of stables = Length x Breath
= 30 x 10 = 300 \(yard^{2}\)

Area of walkway = 45 \(yard^{2}\)

Hence area of horses will be = 300 - 45 = 255 \(yard^{2}\)

Now 1 horse occupy = 12 \(yard^{2}\)
so 255 \(yard^{2}\) can have = \(\frac{255}{12}=21\) horses
Hence the Answer is 21 Horses

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Answer:

114,112,coA,ce 58,124,DFA,EOB

Answer:

C. 500x + 0.6 = 600x + 0.5

Step-by-step explanation:

Answer:

1.67 or 5/3

Hope this helps

Answer:

1 2/3

Step-by-step explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

\(\frac{8}{3}\) ÷ \(\frac{8}{5}\)

Applying the fractions formula for division,

= \(\frac{8}{3} x \frac{5}{8}\)

=\(\frac{40}{24}\)

Simplifying 40/24, the answer is

1\(\frac{2}{3}\)

Hope this helps!!! :)))

Step-by-step explanation:

TRIANGLE 1

c = 2√5

= 2 × √5

= √4 × √5

= √20

a = 2

b = ?

b² = c² - a²

= √20² - 2²

= 20² - 4

= 400 - 4

= 396

b = √396

= √36 × √11

= 6 × √11

= 6 √11

TRIAGLE 2

a = 12

b = 6√11

= √396

c = ?

c² = a² + b²

= 12² + √396

= 144 + √396²

= 144 + 396

c = √540

= √36 × √15

= 6 × √15

= 6 √15

Sorry if i wrong. Im beginner in USA server

By using the area of circle formula, the solution of the given problem of circle comes out to be 6 + π cm

Every location in the plane of a circle is equally separated from the center and is a closed, as double object. Each line tracing the circle contributes to the formation of a line of reflection symmetry. Additionally, each angle has axis of symmetry around the center.

Here,

A 9 Pi square centimeter circle's sector has a 60 degree center angle. The sector's exterior border is

Circle area is equal to. πR² = 9π

Circumference =2πR

=> 2π*3 = 6π cm

Arc length equals (60/360)*6 to cm

Arc's perimeter is calculated as follows: Radius + Length of Arc + Radius = π +3 + 3 = 6 +  π cm

Therefore , the solution of the given problem of circle comes out to be

6 + π cm.

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By using the area of circle formula and circumference of a circle formula, the solution of the given problem of circle comes out to be 12π cm

Every location in the plane of a circle is equally separated from the center and is a closed, as double object. Each line tracing the circle contributes to the formation of a line of reflection symmetry. Additionally, each angle has axis of symmetry around the center.

Here,

sector area of circle = 9π

arc measure = 90°

Area of sector  = (arc/360°)*πr²

⇒ 9π = (90°/360°)πr²

⇒ 9π = (1/4)πr²

⇒ 4*9π = πr²

⇒ 36 = r²

⇒ 6² = r²

r = 6

and Circumference of circle = 2πr

=> 2π*6 = 12π cm

Therefore , the solution of the given problem of circle comes out to be

12π cm.

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Answer:

The answer is b

Step-by-step explanation:

In order to cross the bridge, the seven cars can form groups of four to cross the bridge in 35 combinations.

The process of combination is used to calculate in how many ways seven cars can form groups of four in order to cross the bridge.

Combination formula is given by:

\(nCr = n!/ (n! * (n-r)!)\)

The number of combinations of seven cars taken four at a time can be given by the equation:

C(7,4) = 7!/(4! * (7-4)!)

C(7.4) = 5040/(24*6) = 5040/144 = 35.

Therefore, the seven cars can cross the bridge in groups of four in 35 different combinations.

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Answer:

ur welcoem

Step-by-step explanation:

Main Answer: The integral ∬(curl F) · dS = 0.

Supporting Question and Answer:

What is Stokes' theorem and how is it used to evaluate line integrals over closed surfaces?

Stokes' theorem relates a line integral of a vector field around a closed curve to a surface integral of the curl of that vector field over the region bounded by the curve. It states that the line integral of a vector field around a closed curve C is equal to the surface integral of the curl of the vector field over the surface S bounded by C. Mathematically, it can be expressed as ∮C F · dr = ∬S (curl F) · dS. This theorem provides a convenient way to evaluate line integrals over closed surfaces by converting them into surface integrals using the curl of the vector field.

Body of the Solution:To evaluate the integral using Stokes' theorem, we first need to compute the curl of the vector field F = (-y, x, xyz).

The curl of F is given by: curl F = (d/dx, d/dy, d/dz) × (-y, x, xyz)

Let's calculate the individual components of the curl:

(d/dx) × (-y, x, xyz) = (0, 0, (d/dx)(-y) - (d/dy)(x))

= (0, 0, 0 - 1) = (0, 0, -1)

(d/dy) × (-y, x, xyz) = (0, 0, (d/dy)(-y) - (d/dx)(x))

= (0, 0, -1 - 1) = (0, 0, -2)

(d/dy) × (-y, x, xyz) = (0, 0, (d/dy)(-y) - (d/dx)(x))

= (0, 0, -1 - 1) = (0, 0, -2)

(d/dz) × (-y, x, xyz)= ((d/dz)(x) - (d/dx)(xyz), (d/dz)(y) - (d/dy)(xyz), 0)

= (0 - yz, 0 - xz, 0)

= (-yz, -xz, 0)

Now, we have the curl of F as curl F = (0, 0, -1) + (0, 0, -2) + (-yz, -xz, 0)

= (-yz, -xz, -3)

Next, we need to find the surface S, which is the part of the sphere x^2 + y^2 + z^2 = 25 lying below the plane z = 4. To determine the orientation, we consider the outward-pointing normal vector.

The equation of the sphere can be written as z = sqrt(25 - x^2 - y^2). Since the plane is z = 4, we have sqrt(25 - x^2 - y^2) = 4. Solving for z, we get z = 4.

So, the surface S is given by S: x^2 + y^2 + z^2 = 25, z = 4.

To apply Stokes' theorem, we need to calculate the surface area vector dS. For a sphere, the surface area vector is simply the outward-pointing normal vector, which is (0, 0, 1) for our surface S.

Finally, we can evaluate the given integral using Stokes' theorem:

∬(curl F) · dS = ∭(div(curl F)) dV

Since the curl of F is (0, 0, -3), the divergence of curl F, div(curl F), is 0.

Thus, the integral ∬(curl F) · dS = ∭(div(curl F)) dV = 0.

Final Answer:Therefore, the value of the given integral is 0.

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The integral ∬(curl F) · dS = 0.

What is Stokes' theorem and how is it used to evaluate line integrals over closed surfaces?

Stokes' theorem relates a line integral of a vector field around a closed curve to a surface integral of the curl of that vector field over the region bounded by the curve. It states that the line integral of a vector field around a closed curve C is equal to the surface integral of the curl of the vector field over the surface S bounded by C. Mathematically, it can be expressed as ∮C F · dr = ∬S (curl F) · dS. This theorem provides a convenient way to evaluate line integrals over closed surfaces by converting them into surface integrals using the curl of the vector field.

To evaluate the integral using Stokes' theorem, we first need to compute the curl of the vector field F = (-y, x, xyz).

The curl of F is given by: curl F = (d/dx, d/dy, d/dz) × (-y, x, xyz)

Let's calculate the individual components of the curl:

(d/dx) × (-y, x, xyz) = (0, 0, (d/dx)(-y) - (d/dy)(x))

= (0, 0, 0 - 1) = (0, 0, -1)

(d/dy) × (-y, x, xyz) = (0, 0, (d/dy)(-y) - (d/dx)(x))

= (0, 0, -1 - 1) = (0, 0, -2)

(d/dy) × (-y, x, xyz) = (0, 0, (d/dy)(-y) - (d/dx)(x))

= (0, 0, -1 - 1) = (0, 0, -2)

(d/dz) × (-y, x, xyz)= ((d/dz)(x) - (d/dx)(xyz), (d/dz)(y) - (d/dy)(xyz), 0)

= (0 - yz, 0 - xz, 0)

= (-yz, -xz, 0)

Now, we have the curl of F as curl F = (0, 0, -1) + (0, 0, -2) + (-yz, -xz, 0)

= (-yz, -xz, -3)

Next, we need to find the surface S, which is the part of the sphere x^2 + y^2 + z^2 = 25 lying below the plane z = 4. To determine the orientation, we consider the outward-pointing normal vector.

The equation of the sphere can be written as z = sqrt(25 - x^2 - y^2). Since the plane is z = 4, we have sqrt(25 - x^2 - y^2) = 4. Solving for z, we get z = 4.

So, the surface S is given by S: x^2 + y^2 + z^2 = 25, z = 4.

To apply Stokes' theorem, we need to calculate the surface area vector dS. For a sphere, the surface area vector is simply the outward-pointing normal vector, which is (0, 0, 1) for our surface S.

Finally, we can evaluate the given integral using Stokes' theorem:

∬(curl F) · dS = ∭(div(curl F)) dV

Since the curl of F is (0, 0, -3), the divergence of curl F, div(curl F), is 0.

Thus, the integral ∬(curl F) · dS = ∭(div(curl F)) dV = 0.

Therefore, the value of the given integral is 0.

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The number of hours Ella worked before school was 8 hours and after school was 16 hours.

Hours worked is the number of hours actually worked, defined as the sum of all periods spent on direct and ancillary activities to produce goods and services.

Given that, Ella works two part-time jobs, before and after school, Before school, she earns $11.25/hour, and after school she earns $11.75/hour. Last week, she earned a total of $278. She works twice as many hours after school.

We are asked to find how many hours did she work at each job,

We will solve this question by using an equation,

Let the number of hours she worked before school be x and after school 2x,

Therefore, establishing the equations,

x(11.25)+2x(11.75) = 278

11.25x+23.5x = 278

34.75x = 278

x = 8

Hence, the number of hours Ella worked before school was 8 hours and after school was 16 hours.

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Answer:

mean= 10+11+8+10+12+8+10+11+12+10/10

=92/10=9.2

mode=10

hope it helps

plz mark as brainliest

Step-by-step explanation:

you get the units making the triangle then use a²+b²=c²

Answer:

the width of the path is 24m²

Option A, For the aptitude puzzle, the number of ways each of people has the same number of internet friends is 60.

We want to count the number of ways that the 6 people can be internet friends with each other given that each person has the same number of internet friends and no one has an internet friend outside of the group.

Let k be the number of internet friends each person has. Since each person knows 5 other people in the group, we have 6k = 5 * 6, which means that k=5.

Thus, each person has 5 internet friends. We can choose these 5 friends in 5 to choose 5 times 4 choose 5 times 3 choose 5 times 2 choose 5 times 1 choose 5 = 1 × 0 × 0 × 0 × 0 = 0 ways since we can't choose 5 friends from fewer than 5 people.

Therefore, the answer is (A) 60.

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The question is -

Adam, Benin, Chiang, Deshawn, Esther, and Fiona have internet accounts. Some, but not all, of them are internet friends with each other, and none of them has an internet friend outside this group. Each of them has the same number of internet friends. In how many different ways can this happen?

a. 60

b. 170

c. 290

d. 320

e. 660

Answer:

D

Step-by-step explanation:

f(x) =x(x-9)

X(x-9)=0

X2-9x=0

X2-9x+0=0

(X2-9X)

x(x-9)=0

X-9=0

X=9

X+0=0

X=0

Feldman investigated how the rate of bar pressing by rats was affected by the type of injection they received, with two levels (saline and drug).

a. The dependent variable in this study is the rate of bar pressing by rats.

b. The independent variable in this study is the type of injection administered to the rats (saline-injection condition vs. drug-injection condition).

c. The independent variable has two levels: saline-injection condition and drug-injection condition.

d. A controlled extraneous variable in this study could be the environment in which the rats were tested. Since only one Skinner box was used and the same assistant handled all the animals, it suggests that the environment and handling conditions were kept constant to minimize their potential influence on the dependent variable.

a. Dependent variable: Rate of bar pressing by rats.

b. Independent variable: Type of injection administered.

c. Levels of the independent variable: Saline-injection condition and drug-injection condition.

d. Controlled extraneous variable: Environment and handling conditions.

Feldman investigated how the rate of bar pressing by rats was affected by the type of injection they received, with two levels (saline and drug). The study controlled for extraneous variables such as the environment and handling conditions.

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The team's policy is to have a 3:2 ratio of premium seats to bleacher seats. The stadium will include 6,500 bleacher seats.

Given the stadium's seating options which include premium seats (boxes closest to the action), medium-priced seats, and budget-friendly bleachers, there are 4,500 upper-deck premium seats and 7,500 lower-deck premium seats. The team's policy is to have a 3:2 ratio of premium seats to bleacher seats.

To solve for the number of bleacher seats, we have to find out how many premium seats the stadium has in total first.

Using the ratio given to us, we can set up the following equation:

3/2 = 4500 + 7500 / x (where x is the number of bleacher seats)

Multiplying both sides by 2x gives us:

3x = 12000 + 7500

Simplifying, we get:3x = 19500x

= 6500

Therefore, the stadium will have 6,500 bleacher seats.

The stadium will have a total of (4500 + 7500) = 12,000 premium seats.

The ratio of premium seats to bleacher seats is 3:2, which means that the total number of bleacher seats is 6,500.

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Answer:

9

Step-by-step explanation:

Answer:

The GCF is going to be 9

Step-by-step explanation:

When finding the GCF, you want to do prime factorization of each number.

18's prime factorization is, 2 × 3 × 3, which equals 18

36's prime factorization is 2 × 2 × 3 × 3, which equals 36

45's prime factorization is 5 × 3 × 3, which equals 45

Now all you have to do is find the factors common in each one, which is 2 three's. You then multiply 3 × 3 = 9. That is your answer

Answer:

black

black

Step-by-step explanation:

Answer:

I think it goes in this order

<LNO<NLM <OLN

Answer:

<LNO<NLM <OLN

Step-by-step explanation:

The characteristics of the normal distribution can be used to determine the likelihood that X equals 19.62 because X is a normally distributed random variable with a mean of 12 and a standard deviation of 3.

We must compute the z-score, which counts the number of standard deviations a given result is from the mean, in order to determine this probability. Calculating the z-score is as follows:

z = (x - μ) / σ

If the supplied value, x, the mean, and the standard deviation are all given.In this instance, x=19.62, =12, and =3 respectively. By replacing these values, we obtain:

z = (19.62 - 12) / 3 ≈ 2.54

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50 apartments were randomly chosen by our pupils. We found 26 residences with owners. We could use this to determine our sample proportion, by the way. It will come out to 26 out of 50 and.52. We're going to conduct an experiment to test the hypothesis that your neighborhood's owner-occupied home percentage differs from the national average.

The null hypothesis will be the outcome of the test. The null hypothesis states that 69 is the actual proportion. The alternative is an alternate theory. We are endeavoring to determine whether the community is different from the country, per the inquiry. I'll concede that the actual ratio is not 0.69. It is necessary to find the test statistic. We are permitted to utilize the calculator function in the tests because this is an example Z test. Yes, a window. We could locate the single proportion Z if we went to the tests and clicked the stat. It's basically a test. The Christmas component cost 69 dollars. Out of 50 samples, 26 have resulted in success.

In our alternative, the true percentage is different from.69, therefore proportion does not equal zero proportion. A negative Z score of 2.599 will be the outcome in the end. The window gives us a p value of 9. We'll choose a resolution. We will compare the p value to our significance level. It doesn't specify the degree of relevance for this problem. We'll only use 5%. So, if our p value is less than the significance level, we would reject the null hypothesis, right? The sample proportion must be obtained. If the null hypothesis is true, it would be extremely rare, since our community has more owner-occupied homes than the national average, according to the data.

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The total cost  of he meat with tax and tip is $ 22.42

To calculate the total cost with tax and tip, we need to follow these steps:

multiply the meal cost by the tip rate. when  the tip rate is 18%, we have:

Tip amount = $19.00 * 0.18 = $3.42

Add the meal cost, sales tax, and tip amount to get the total cost:

Total cost = Meal cost + Sales tax + Tip amount

= $19.00 + $3.42

= $ 22.42

Therefore, the total cost with tax and tip is $22.42

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The 23rd parallel south is tangent to the circle of light on or around June 21 in the southern hemisphere.

The circle of illumination on or about June 21 in the southern hemisphere is the Tropic of Capricorn. The Tropic of Capricorn is tangent to the 23rd parallel south .A hypothetical circle of latitude in the southern hemisphere is known as the Tropic of Capricorn. It designates the northernmost location on Earth where the sun may be seen directly overhead on June 21, when it is at its zenith. The counterpart to this circle of illumination that is perpendicular to it is the Tropic of Capricorn. 23 degrees south of the equator marks the location of this parallel. The southernmost of the five main circles of latitude used to label Earth's surface on maps is the Tropic of Capricorn. Chile, Argentina, Brazil, Namibia, Botswana, Zambia, Mozambique, Madagascar, and Australia are among the nations it traverses. The Southern Tropics, where the sun can be directly above at least once a year, are located, while the Tropic of Capricorn serves as their northern boundary. The northernmost point on Earth where the sun can be directly above at its zenith on or around June 21 in the southern hemisphere is the 23rd parallel south, which is a line of latitude that is tangent to the Tropic of Capricorn.

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The Fall (drop)  of drainage piping is: A. 5".

In order to determine the fall (drop) of drainage piping we would need to multiply the drainage piping by the inch per feet.

Hence:

Using this formula

Fall (drop) of drainage piping = Drainage piping× inch per feet

Where:

Drainage piping=20

Inch per feet=1/4"

Let plug in the formula

Fall (drop) of drainage piping =20×1/4"

Fall (drop) of drainage piping =5"

Therefore the correct option is A. 5".

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Answer:

you mesuare the apple to see if it greater or less than 3 centimeter  

Step-by-step explanation: