How do i solve this equation
3x^2+56x-7

Answer: Hypotheses ?

Step-by-step explanation:

The hypotenuse if the legs of a right triangle measure 7 cm and 24 cm is 25 cm.

To find the length of the hypotenuse in a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).

In this case, the lengths of the legs are given as 7 cm and 24 cm.

Let's use the Pythagorean theorem to find the length of the hypotenuse:

c² = a² + b²

c² = 7² + 24²

c² = 49 + 576

c² = 625

Taking the square root of both sides, we get:

c = √625

c = 25

Therefore, the length of the hypotenuse is 25 cm.

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Answer: \(12< x \leq 20\)

Step-by-step explanation:

Given

x is at a distance of 20 or less i.e. x can be 20 or less

\(x\leq20\)

and it starts from the number 12 i.e.

\(12< x\)

In interval notation it is

\(12< x \leq 20\)

Answer: (-2, 1)

Step-by-step explanation:

Let's start with the equations that we have:

3x - 3y = -9

2x + y = -3

We multiply the second equation by 3 to get:

6x + 3y = -9

Then we add this equation to the other side:
6x + 3y = -9

3x - 3y = -9

And we get:

9x = -18

So x = -2.

Now we substitute this into

2x + y = -3

-4 + y = -3

So y = 1.

So our ordered pair is (-2, 1).

(Hope I'm correct :D )

The value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

(1). angle B = 180 - (22 + 90) {sum of interior angles of a triangle}

angle B = 68°

Given that the triangle ∆ABC is similar to the triangle ∆PQR.

(2). PQ/7.5cm = 12cm/18cm

PQ = (12cm × 7.5cm)/18cm {cross multiplication}

PQ = 5cm

(3). 13cm/BC = 12cm/18cm

BC = (13cm × 18cm)/12cm {cross multiplication}

BC = 19.5cm

(4). area of ∆PQR = 1/2 × 12cm × 5cm

area of ∆PQR = 6cm × 5cm

area of ∆PQR = 30cm²

Therefore, the value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

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42%  is the probability that exactly one is paid by the hour.

In statistics, what does a probability mean?

P( exactly one paid by hour ) =

\(\frac{71}{100} . \frac{29}{100} + \frac{29}{100} . \frac{71}{100} = \frac{2059 + 2059}{10000}\)

\(\frac{4118}{10000} = 42%\)%

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Answer:

15 5/8

Step-by-step explanation:

6 1/4 divided by 2/5

convert mixed numbers to improper fraction: 6 1/4 = 25/4

= 25/4 divided by 2/5

= 25/4 times 5/2

= 25 times 5/4 times 2

= 125/4 times 2

= 125/8

= 15 5/8

\(15 \frac{5}{8} \) ✅

Step-by-step explanation:

\( \frac{6 \frac{1}{4} }{ \frac{2}{5} } \\ = \frac{25}{4} \times \frac{5}{2} \\ = \frac{125}{8} \\ = 15\frac{5}{8} \)

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Answer:

x = 48

Step-by-step explanation:

From the given diagram, the sum of the angles given is equal to 180 degrees as shown;

x+y+2x = 80

Since y = 36

x +36+2x = 180

3x = 180 - 36

3x = 144

x = 144/3

x = 48

Hence the value of x is 48

Answer:

I dont have a clue my guy

Step-by-step explanation:

Answer:

this is a reflection across the x axis, not the y

Step-by-step explanation:

If it were flipped by the y axis, the d and the t would be on opposite sides of the quadrilateral, but theyre on tge same side, so its only flipped across the x axis. Hope this helps.

4. We start with the base case of \(5^0 = 1\) and recursively generate the next element in the set by multiplying the previous element by \(5\).

5. if a divides \(b\) and \(b\) divides \(a\), either a equals \(b\) or \(a\) equals negative \(b\).

4. The recursive definition of the set of positive integer powers of 5 can be expressed as follows:

Base case: \(5^0 = 1\) is in the set.

Recursive step: If n is in the set, then \(5^(n+1)\) is also in the set.

Using this definition, we start with the base case of \(5^0 = 1\)and recursively generate the next element in the set by multiplying the previous element by \(5\).

5. To prove that if a divides \(b\) and \(b\)divides \(a\), then a equals \(b\) or \(a\) equals negative \(b\), we can use the definition of divisibility.

Assume that \(a\) divides \(b\), denoted as \(a | b\) , and \(b\) divides \(a\), denoted as \(b | a.\)

By definition, if a divides b, there exists an integer k such that b = ak.

Similarly, if \(b\) divides \(a\), there exists an integer m such that \(a = bm.\)

Substituting the expression for\(b\) in terms of \(a\), we have \(bm = ak.\)

Dividing both sides by b (since b is nonzero), we get m = a/b.

Since \(m\) is an integer, \(a/b\) must be an integer, which means \(a\) is divisible by \(b\).

If \(a/b\)  is an integer, it implies that \(b/a\)is also an integer, which means \(b\) is divisible by \(a\).

Therefore, if \(a\) divides \(b\) and \(b\) divides \(a\), it follows that \(a/b\) and \(b/a\) are both integers.

If \(a/b = m\) and \(b/a = k\), then we have \(a = bm\) and\(b = ak.\)

\(If m = k = 1, then $a = b.\)

\(If m = k = -1, then a = -b.\)

Therefore, if \(a\) divides \(b\) and \(b\) divides \(a\), either \(a\) equals \(b\) or \(a\) equals negative \(b\).

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The volume of the solid generated by rotating the region bounded by the curves y = 2/x, y = 0, x = 1, and x = 6 about the y-axis is 10π cubic units.

To find the volume using the method of cylindrical shells, we divide the region into thin vertical strips that are parallel to the y-axis. Each strip has a height determined by the difference in y-values of the two curves and a radius equal to the x-coordinate of the curve y = 2/x.

The limits of integration are determined by the x-values where the curves intersect. In this case, the curves intersect at x = 1 and x = 6. We integrate the expression 2π r h, where r represents the x-coordinate of the curve and h represents the height of the strip.

Integrating the expression 2π(2/x)dx over the given limits [1, 6], we find the volume V = 2π ∫[1, 6] 2 dx. Evaluating this integral, we get V = 2π(6 - 1) = 10π cubic units. Therefore, the volume of the solid is 10π cubic units.

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Tangent line is y = mx + b where m is 7 and b is -5. Hence, m = 7.

Given function is f(x) = 3x² - 5x + 7.

We need to find f'(2) and use it to find the equation of the tangent line to the parabola

y = 3x² - 5x + 7

at the point (2, 9).

We know that

f'(x) = d/dx(3x² - 5x + 7) = 6x - 5.

Therefore, f'(2) = 6(2) - 5 = 7.

Now, we need to find the equation of the tangent line at the point (2, 9). The slope of the tangent line is f'(2) = 7.

Using the point-slope form of a line, we get:y -

y1 = m(x - x1)

⇒ y - 9 = 7(x - 2)

⇒ y - 9 = 7x - 14

⇒ y = 7x - 5

Therefore, the equation of the tangent line is y = mx + b where m is 7 and b is -5. Hence, m = 7.

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The correct simplification of the expression is c12 (option c).

The expression (c^4)^3 can be simplified using the exponent rules for powers of a power, which states that when a power is raised to another power, we can multiply the exponents.

Thus, we have:

(c^4)^3 = c^(43) [Using the rule (a^m)^n = a^(mn)]

Simplifying the exponent 4*3, we get:

c^(4*3) = c^12

Therefore, the correct simplification of the expression is c^12.

Option (c) is the correct answer as it correctly represents the simplified form of the given expression. Option (a) c^-1, option (b) c^7, and option (d) c^64 are not correct because they do not follow the exponent rules used to simplify the expression.

In summary, the expression (c^4)^3 simplifies to c^12, which is option (c) in the given options.

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Answer:

d=10.29563 or root 106

Step-by-step explanation:

The amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes is calculated to be approximately 6.58 gallons.

Assuming the unit rate of 1 gallon per 18.25 minutes, we can convert 2 hours to minutes by multiplying it by 60, which gives us 120 minutes.

So, in 120 minutes, the amount of liquid that can be processed at a unit rate of 1 gallon per 18.25 minutes would be:

(120 minutes) / (18.25 minutes/gallon) = 6.58 gallons

Therefore, the amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes is found out to be  approximately 6.58 gallons.

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The complete question is :

What is the amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes?

The general form of the regression equation is y = a + bx

A regression equation is a statistical model used to identify the relationship between a dependent variable (Y) and one or more independent variables (X) in a dataset. The regression equation is used to make predictions by identifying how a change in one variable affects the other variables. The general form of the regression equation is y = a + bx, where 'y' is the dependent variable, 'x' is the independent variable, 'a' is the intercept value, and 'b' is the slope value.

Therefore, the general form of the regression equation is y= a+bx

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See below for the steps to the two-way relative frequency table

The table of values is given as:                                  

Communication Gender  Male         Female    Total

Text                                   150.0           82.0      232.0

Talk                                    72.0            36.0       108.0

Social Media Apps            28.0            32.0      60.0

Total                                   250.0         150.0     400.0

Start by dividing each cell by the column total

                               Male                     Female                  Total

Text                   150.0/250 = 0.6       82.0/150 = 0.55    232/400 = 0.58

Talk                    72.0/250 = 0.288       36.0/150 = 0.24  108/400 = 0.27

Social Media Apps    28.0/250 = 0.112      32.0/150 = 0.21    60/400 = 0.15

Rewrite properly as:

                               Male                Female                  Total

Text                         0.60                0.55                        0.58

Talk                        0.288               0.24                          0.27

Social Media Apps   0.112                0.21                        0.15

Total                             1                       1                              1

The above represents the two-way relative frequency table

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Answer: The correct answer is 29 units

Step-by-step explanation: Can i Get the brainliest answer?

The distance between points (8, 3) and (3, 1) on the coordinate plane is √29 units.

Given that, the distance between points (8, 3) and (3, 1) on the coordinate plane.

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x1, y1) and (x2, y2) is Distance = √[(x2-x1)²+(y2-y1)²].

Now,

Put, (x1, y1)=(8,3) and (x2, y2)=(3,1) in distance formula, that is

Distance = √[(1-3)²+(3-8)²]

= √(4+25)

= √29 units

Therefore, the distance between points (8, 3) and (3, 1) on the coordinate plane is √29 units.

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The person who picked garbage at the fastest rate is Andres.

Rate is the ratio of the total weight of garbage picked to the total time. The person who picked the most garbage would be the person with the lowest rate.

Rate = total weight / total time

Rate of Andres = 4kg / 2hrs = 2kg/hr

Rate of Scott = 6 / 2.5 = 2.4 kg/hr

Rate of Tina = 3 /1 = 3kg/hr

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Answer: the answer is -32

Step-by-step explanation: multiply -2 by itself 5 separate times.

Answer:

-32

Step-by-step explanation:

-2×-2×-2×-2×-2=4×4×-2

=-32

a. The clusters are represented by option A: 1-10, 11–20, 21–30, 31-50.

b. If clusters #1 and #3 are selected, then the sample would consist of members 1-10, 21-30, for a total of 20 members.

For part a:

The clusters are created by dividing the population into equal-sized groups, and in this case, each cluster contains 10 members. Therefore, the clusters are represented by option A: 1-10, 11–20, 21–30, 31-50.

For part b:

Suppose that clusters #1 and #3 are selected, which means that the first and the third group (1-10, 21-30) are selected as the sample. The members of these two clusters make up the sample, which consists of members 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30. The sample size is 20 members.

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Answer:60

Step-by-step explanation:a triangle always equals 180 so if you dived that by the three angles it equals 60 degrees

The translation 1 unit left of f ( x ) =–7x+10  then g(x) is -7x + 3.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in its range(involving values of y) or in its domain(involving values of x).

The up and down movements are in the vertical direction by the y coordinate.

The left and right movements are in the horizontal direction by the x coordinate.

When translating a graph, adding units moves the graph to the left, and eliminating units moves the graph to the right.

hence we say that;

f(x) = –7x+10

g(x) = f(x + 1)

= –7(x + 1)+10

= -7x - 7 + 10

= -7x + 3

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Answer:

She would need 11.1 liters of gas.

Correct option is C, the correct equation is Y - 2 = -1/3 (x + 6).

Y=mx+b, where m is the slope and b is the y-intercept, is the slope intercept form. The graph of the linear equation can be drawn on the x-y coordinate plane using this form of the equation. Y = m x + b y=mx+b y=mx+by, equals, m, x, plus, b, where m is the slope and b is the y-intercept, is the slope intercept form.

Given points are (-6,2)

The required line should be perpendicular to y=3x-8.

When two lines are perpendicular,

their slopes are such that,

m1 = - 1/m2                    [1]

⇒ slope of line 2 =

⇒ -1/3    [using (1) relationship ]

Now substituting the points are slope in the equation of line -

y - y₀ = m (x - x₀)

⇒ y - 2 = -1/3 (x + 6)

⇒ 3y - 6 = -x - 6

⇒ 3y + x = 0

⇒ x = -3y

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The probability that the coin will show tails and the cube will show a three, four, or six is 1/4.

The probability of two independent events occurring, we multiply their individual probabilities.

Let's start by determining the probability of the coin showing tails.

Since it is a fair coin, there are two equally likely outcomes: heads or tails.

The probability of the coin showing tails is 1/2.

Next, we consider the number cube.

It is a standard six-sided die, and we want to find the probability of rolling a three, four, or six.

Out of the six possible outcomes (numbers 1 to 6), three of them satisfy our condition (3, 4, and 6).

The probability of rolling a three, four, or six is 3/6 or 1/2.

Now, we can find the probability of both events occurring by multiplying the probabilities together:

P(Tails and 3, 4, or 6) = P(Tails) × P(3, 4, or 6)

= 1/2 × 1/2

= 1/4

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