Which graph(s) would represent this data?

Answer:

y=-11

Step-by-step explanation:

Answer:

y = -11

Step-by-step explanation:

y – 3(2y – 7) = 76

y - 6y + 21 = 76

-5y + 21 = 76

-5y = 55

y = -11

The equivalent exponential equations are given as follows:

\(2^{4x} = 2^{3(x - 3)}\)

The exponential expression for this problem is defined as follows:

\(2^{4x} = 8^{x - 3}\)

The number eight is the third power of 3, that is:

8 = 2³.

The power of a power rule is used when a single base is elevated to multiple exponents.

Then the simplified expression is obtained keeping the base, while the exponents are multiplied.

Meaning that the equivalent expression on the right side of the equality in this problem is given as follows:

\(8^{x - 3} = (2^3)^{x - 3} = 2^{3(x - 3)}\)

Meaning that the correct option is given by the fourth option.

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Answer:

the equivalent fractions for 2/5 are:

(2/5) × (2/2) = (2 × 2) / (5 × 2) = 4/10

(2/5) × (3/3) = (2 × 3) / (5× 3) = 6/15

(2/5) × (4/4) = (2 × 4) / (5 × 4) = 8/20

Answer:

4/10, 6/15, 8/20, etc.

Step-by-step explanation:

I hope you got some idea

Answer:

Given: The mean of x + 2, 2x + 3, 3x + 4 and 4x + 5 is x + 2

 Mean = 4(x+2)+(2x+3)+(3x+4)+(4x+5)

 ⇒x+2=410x+14

 ⇒4x+8=10x+14   

 ⇒6x=−6   

 ⇒x=−1   

An example of a function that models a linear relationship between two quantities, x and y is y = mx + b

We need to use the equation of a straight line, which is commonly expressed in slope-intercept form as:

y = mx + b

In this function, x represents the independent variable, m is the slope of the line, and b is the y-intercept. To use this function, we simply plug in the values of x, m, and b that correspond to the specific relationship we are modeling.

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Answer:

-2,1,6,13,22

Step-by-step explanation:

cn = n^2 -3

Let n=1

c1 = 1^2 -3 = 1-3 = -2

Let n=2

c2 = 2^2 -3 = 4-3 = 1

Let n=3

c3 = 3^2 -3 = 9-3 = 6

Let n=4

c4 = 4^2 -3 = 16-3 = 13

Let n=5

c5 = 5^2 -3 = 25-3 = 22

Answer:

Step-by-step explanation:

The top has area (3 cm)(5 cm), or:                                 15 cm^2

The bottom has the same area:                                      15 cm^2

Each of the ends has the area (3 cm)(2.5 cm):                7.5 cm^2

                                                                                           7.5 cm^2

Each of the sides has the area (2.5 cm)(5 cm)                12.5 cm^2

                                                                                            12.5 cm^2

                                                                                        -------------------

                                                                                             70 cm^2

The total lateral area is 70 cm^2

Answer:

15cm2

Step-by-step explanation:

May this answer help you

Answer:

I think it's simple sentence

Answer:

Step-by-step explanation:feel pleasure to help u.

Answer:

the last one

Step-by-step explanation:

Answer:

\(A). \: \$31,411.80\)

Step-by-step explanation:

\(s.i = \frac{p \times r \times t }{100} \\ \\ s.i = \frac{87255 \times 9 \times 4}{100} = 31,411.8\)

Answer:A

Step-by-step explanation:

Answer:

She will have 12 pounds of cheese left

Step-by-step explanation:

Tina starts with 24 pounds , and uses 12 pounds .   24-12=12

Answer:

see the picture there is the answer

Answer:

drop the 0 then add the 0 o. the top or I think

The function representing the number of bacteria after t hours is N(t) = 5300 * (1 + 0.0592)^t, and the growth rate per hour is approximately 5.92%.

To represent the number of bacteria after t hours, we can use the exponential growth formula:

N(t) = N₀ * (1 + r)^t,

where N(t) is the number of bacteria after t hours, N₀ is the initial number of bacteria, r is the hourly growth rate, and t is the time in hours.

In this case, the initial number of bacteria is 5300, and the hourly growth rate can be determined from the doubling time of 12 hours. The growth rate can be calculated using the formula:

r = 2^(1/t_double) - 1,

where t_double is the doubling time in hours.

Substituting the given values, we have:

r = 2^(1/12) - 1 ≈ 0.0592.

Now we can write the function for the number of bacteria after t hours:

N(t) = 5300 * (1 + 0.0592)^t.

To determine the percentage of growth per hour, we can calculate the relative growth rate as a percentage:

percentage_growth = r * 100 ≈ 5.92%.

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Answer:

The time taken for the upward motion is 1 second. The same time is taken for the downward motion

It reaches a maximum height of 4.9 meters.

Step-by-step explanation:

The equation of motion is:

\(x(t) = -4.9t^{2} + 9.8t\)

Since the term which multiplies t squared is negative, the graph is concave down, that is, x increases until the vertex, where it reaches it's maximum height, then it decreases.

Vertex of a quadratic equation:

Quadratic equation in the format \(x(t) = at^{2} + bt + c\)

The vertex is the point \((t_{v}, x(t_{v}))\), in which

\(t_{v} = -\frac{b}{2a}\)

In this question:

\(x(t) = -4.9t^{2} + 9.8t\)

So \(a = -4.9, b = 9.8\)

Vertex:

\(t_{v} = -\frac{9.8}{2*(-4.9)} = 1\)

The time taken for the upward motion is 1 second.

\(x(t_{v}) = x(1) = 9.8*1 - 4.9*(1)^{2} = 4.9\)

It reaches a maximum height of 4.9 meters.

Downward motion:

From the vertex to the ground.

The ground is t when x = 0. So

\(-4.9t^{2} + 9.8t = 0\)

\(4.9t^{2} - 9.8t = 0\)

\(4.9t(t - 2) = 0\)

\(4.9t = 0\)

\(t = 0\)

Or

\(t - 2 = 0\)

\(t = 2\)

It reaches the ground when t = 2 seconds.

The downward motion started at the vertex, when t = 1.

So the duration of the downward motion is 2 - 1 = 1 second.

Answer:

the correct answer is C

Step-by-step explanation:

Answer:

Step-by-step explanation:

HOPE IT HELPS

(FROM CROSS)

Answer:

yey

Step-by-step explanation:

Multiply the original DE by xy:

xy2(1+x2y4+1−−−−−−−√)dx+2x2ydy=0(1)

Let v=xy2, so that dv=y2dx+2xydy. Then (1) becomes

x(y2dx+2xydy)+xy2x2y4+1−−−−−−−√dxxdv+vv2+1−−−−−√dx=0=0

This final equation is easily recognized as separable:

dxxln|x|+CKxvKx2y2−1K2x4y4−2Kx2y2y2=−dvvv2+1−−−−−√=ln∣∣∣v2+1−−−−−√+1v∣∣∣=v2+1−−−−−√+1=x2y4+1−−−−−−−√=x2y4=2KK2x2−1integrate both sides

Answer:

9%

Step-by-step explanation:

12000:

5000 for 1 year

7000 for 3 years

Total interest earned:

9340 - 7000 = 2340

Let x be the irate of simple interst

(5000 x) + (7000(3x)) = 2340

26000x = 2340

x = 0.09

0.09 × 100 = 9%

The formula for the 'B' variable is V/MK

To solve for the variable B is to make it the subject of formula.

Subject of formula is the variable that is expressed in terms of the other variables in a given formula, expression, function or equation.

Example;

In the equation,  2x + y = 4, let's make 'y' the subject of formula

y = 4 - 2x

Given the expression;

V=BMK

To make 'B' the subject, we need to divide both sides by the coefficients of B, we have;

V/MK = BMK/MK

B = V/MK

Thus, the formula for the 'B' variable is V/MK

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Answer:

120

Step-by-step explanation:

The LCM of 24 and 30 is 120. To find the least common multiple (LCM) of 24 and 30, we need to find the multiples of 24 and 30 (multiples of 24 = 24, 48, 72, 96 . . . 120; multiples of 30 = 30, 60, 90, 120) and choose the smallest multiple that is exactly divisible by 24 and 30, i.e., 120.

Answer:

285 square centimeters

Step-by-step explanation:

Make sure all the units are the same and consistent

This figure is a Prism where the Base shape is a combination of a rectangle and an isosceles triangle

Area of a rectangle = Length × Breadth

Area of a triangle = \(\frac{1}{2}\) × (Base of triangle) × (Perpendicular height of triangle)

The perpendicular height of 4 cm divides the isosceles triangle into two equal right-angled triangles. The length of slant height of the right-angled triangle can be determined using the Pythagorean Theorem:

hyp = Hypotenuse = Slant height

opp = Opposite = 4 cm

adj = Adjacent = 8 cm

\(hyp^{2} = opp^{2} + adj^{2}\)

\(hyp^{2} = 4^{2} + 4^{2}\)

\(hyp^{2} = 16 + 16\)

\(hyp^{2} = 32\)

\(\sqrt{hyp^{2}} = \sqrt{32}\)

∴hyp = Slant height = \(\sqrt{32}\) cm

Every face of this figure has to be analyzed carefully while calculating the Surface Area:

Front and Back Faces = 2 × [Area of rectangle + Area of triangle]

                                      =  2 × [(6 × 8) + (\(\frac{1}{2}\) × 8 × 4)]

                                      = 2 × [48 + 16]
                                      = 2 × 64

                                      = 128 square centimeters

Left and Right Faces =

                                   2 × [Area of top rectangle + Area of bottom rectangle]
                               =  2 × [(5 × 6) + (5 × \(\sqrt{32}\))

                               = 2 × [\(30 + 5\sqrt{32}\)]
Expand the parenthesis using the Distributive Law:

                               = \((2)(30) + (2)(5\sqrt{32})\)
                               = (\(60 + 10\sqrt{32}\)) square centimeters

Bottom Face =  Area of rectangle

                      = 8 × 5

                      = 40 square centimeters

∴Total Surface Area of this figure = (128 + 60 + \(10\sqrt{32}\) + 40) \(cm^{2}\)

                                                          = (228 + \(10\sqrt{32}\)) \(cm^{2}\)

                     = 285 square centimeters (Rounded to 3 significant figures)

Answer:

A 40•d

Step-by-step explanation:

The product of 40 and the distance (d)

40•d

B is division

C is subtraction

D is addition

The product of two numbers is multiplication, so the answer must be A

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Answer:

2.5

Step-by-step explanation:

the length has increased by 7.5/3 = 2.5.

so the scale factor is 2.5

Answer:

y = −x + 5

Explanation:

Use the slope formula and slope-intercept form y = mx + b to find the equation.

Hope this helped. Have a good one!

Based on the intersecting secants theorem:

a. CG*CE = CH*CD

b. length of DH = 10 in.

When an exterior point is formed by two secant segments to a circle, the product of the length of one secant segment and its external segment will always be equal to the product of the length of the other secant segment and its external segment, according to the intersecting secants theorem.

a. Based on the intersecting secants theorem, the relationship that describes the lengths of the segments formed by the two secants is:

CG*CE = CH*CD

b. Given the following lengths:

CG = 3 in, CH = 2 in, and GE = 5 in

CE = CG + GE = 3 + 5 = 8 in.

CD = CH + DH = 2 + DH

Substitute into CG*CE = CH*CD:

3*8 = 2*(2 + DH)

24 = 4 + 2DH

24 - 4 = 2DH

20 = 2DH

20/2 = DH

DH = 10 in.

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Answer:

28

Step-by-step explanation: