which is equivalent to : 5x-30

Answer:

20 inches

Step-by-step explanation:

Let x be the current height of Jada's dog in inches.

The equation to represent the problem is:

x = 5 1/2 + 14 1/2

To solve, we first need to add the mixed numbers:

5 1/2 + 14 1/2 = 20

So, the current height of Jada's dog is 20 inches.

Answer:

1, 2, 3 and 5

Step-by-step explanation:

1. 2,23 < 2,3 < 2,44 True

2. 2,23 <2,4 < 2,44 True

3. 2 < 2,23 < 2,34 True

4. 2,83 < 3 < 3 False

5. 2,83 < 2,9 < 3 True

6. 2 < 4,5 < 2,23 False

Answer:

11a) x=18

11b) 6x=108

11c) 4x=72

Step-by-step explanation:

11a) A line is equal to 180 degrees. Therefore, 6x and 4x have to add up to be 180.

6x+4x=180

10x=180

x=18

11b) We know what x is so we have to plug x into the expression. 6x=6(18)=108. 6x=108

11c) We know what x is so we have to plug x into the expression 4x=4(18)=72

4x=72.

If this helps please mark as brainliest

Answer:

x = sqrt(13) - 4 or x = -4 - sqrt(13)

Step-by-step explanation:

Solve for x:

x^2 + 8 x + 3 = 0

Hint: | Solve the quadratic equation by completing the square.

Subtract 3 from both sides:

x^2 + 8 x = -3

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 16 to both sides:

x^2 + 8 x + 16 = 13

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x + 4)^2 = 13

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x + 4 = sqrt(13) or x + 4 = -sqrt(13)

Hint: | Look at the first equation: Solve for x.

Subtract 4 from both sides:

x = sqrt(13) - 4 or x + 4 = -sqrt(13)

Hint: | Look at the second equation: Solve for x.

Subtract 4 from both sides:

Answer: x = sqrt(13) - 4 or x = -4 - sqrt(13)

Nope, it sure isn't, because both pairs of its opposite sides are not parallel.

Trapezoid IS NOT a parallelogram. A parallelogram is a given shape with BOTH pairs of its opposite sides are parallel.

Answer:

5x+10

12x+6

18n -45

Step-by-step explanation:

5(x+2)

5x+5*2

5x+10

3(4x+2)

12x+6

9(2n-5)

18n -45

━━━━━━━☆☆━━━━━━━

▹ Answer

a) 5x + 10

b) 12x + 6

c) 18n - 45

▹ Step-by-Step Explanation

a) 5 * x =5x

5 * 2 = 10

5x + 10

b) 3 * 4x = 12x

3 * 2 = 6

12x + 6

c) 9 * 2n = 18n

9 * -5 = -45

18n - 45

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

The area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².

To find the area of a rectangle, we multiply its length by its width. In this case, the width is given as 5.1 cm and the height (or length) is given as 11.2 cm.

Area = length × width

Area = 11.2 cm × 5.1 cm

Calculating the product, we get:

Area = 57.12 cm²

Therefore, the area of the rectangle is 57.12 cm².

The correct answer is: 57.12 cm².

It is important to note that when calculating the area of a rectangle, we should always include the appropriate unit of measurement (in this case, cm²) to indicate that we are dealing with a two-dimensional measurement. The area represents the amount of space covered by the rectangle's surface.

So, the area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².

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Answer:

AOC = 104° (total from A to C)

BOC = 60°

AOB = 104 - 60 = 44°

\(ac = 104 = ab + bc \\ 104 = 7x + 30 + 9x + 42 \\ 104 = 16x + 72 \\ 16x = 32 \\ x = 2\)

\(bc = 9x + 42 \\ = 9(2) + 42 = 60\)

There are 13 $20 bills and 16 $5 bills 6 in the collection.

A system of linear equations is a set of two or more linear equations involving the same variables. The solution to a system of linear equations is the values of the variables that satisfy all the equations in the system.

To solve the following problem use variables and form linear equations according to the given conditions in the problem. Solve the equation for the values of variables.

Here we have

Part of the proceeds from a garage sale was ​$340 worth of ​$5 and ​$20 bills. There were 3 more ​$5 bills than ​$20 ​bills

Let's use variables to represent the number of $5 and $20 bills.

Let x be the number of $20 bills, then the number of $5 bills is x + 3.

The total value of the $20 bills is 20x,

The total value of the $5 bills is 5(x + 3) = 5x + 15.

According to the problem,

The total value of the bills is $340, so we can set up the equation:

20x + 5x + 15 = 340

Simplifying and solving for x, we get:

25x = 325

x = 13

Therefore,

There are 13 $20 bills and 16 $5 bills 6 in the collection.

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Answer:

Step-by-step explanation:

3+4=7

so it is 3/7 part of PQ

Answer: Eighty-seven thousand-fifty five

Step-by-step explanation:

Answer:

eighty seven thousand fifty five=87,055

Answer:

Can not be solved

Step-by-step explanation:

5x+10y = 3............. Equation 1

10x+20y = 8 ............ Equation 2

From the equation above,

both equations can not be solved by elimination method, because both variables will be eliminated

Answer:

f(x)  :  exponential growth

g(x);  exponential growth

h(x):  exponential growth

j(x):   exponential decay

Step-by-step explanation:

In an exponential function such as
\(m(x) = a \cdot b^x\)

the factor that determines whether it is a growth or decay function depends entirely on the value of b since x cannot be negative

If b > 1, it is a growth function

If b < 1 then it is a decay function

If b = 1 neither growth or decay function values are constant

In this context
f(x) has b = 2 > 1 . Hence it is a growth function
g(x) has b = 3 > 1 hence growth function
h(x) has be = 3/2 > 1; hence growth function
j(x) has be = 0.5 < 1 hence decay function

Answer:

O f(x)  :  exponential growth

O g(x);  exponential growth

O h(x):  exponential growth

O j(x):   exponential decay

Step-by-step explanation: I used to do this before :)

Complete question is;

A 10 cm thick grindstone is initially 200 cm in diameter, and it is wearing away at a rate of 50 cm/hr. At what rate is its diameter decreasing?

Answer:

Diameter is decreasing at the rate of 5/(2πr) cm/hr

Step-by-step explanation:

We are told the stone is wearing away at a rate of 50 cm/hr. This means the volume is decreasing. Thus;

dV/dt = -50 cm/hr

Now, a grindstone is in the shape of a cylinder. Thus, volume of grindstone is;

V = πr²h

dV/dr = 2πrh

Now,to find the rate at which the diameter is decreasing, we'll write;

dr/dt = (dV/dt)/(dV/dr)

dr/dt = -50/(2πrh)

We are given;

Diameter = 200 cm

Radius; r = 200/2 = 100 cm

Thickness; h = 10 cm

Thus;

dr/dt = -50/(2π × r × 10)

dr/dt = -5/(2πr) cm/hr

The rate at which grindstone diameter decreases is \(-5/2\pi r \;{\rm cm/hr}\) and this can be determined by using the given data.

Given :

A 10 cm thick grindstone is initially 200 cm in diameter and it is wearing away at a rate of 50 \(\rm cm^3/hr\).

The following steps can be used in order to determine the rate at which grindstone diameter decreases:

Step 1 - According to the given data, the rate at which grindstone volume decreases is:

\(\dfrac{dV}{dt} = 50\;{\rm cm^3/hr}\)        --- (1)

Step 2 -  The formula of the volume of the cylinder (grindstone) is given below:

\(V = \pi r^2 h\)

Step 3 - Differentiate the above expression with respect to 'r'.

\(\dfrac{dV}{dr} = 2\pi r h\)          --- (2)

Step 4 - So, using the expression (1) and (2) the rate at which grindstone diameter decreases is:

\(\dfrac{dr}{dt}=\dfrac{\frac{dV}{dt}}{\frac{dV}{dr}}\)

\(\dfrac{dr}{dt}=\dfrac{-50}{2\pi r \times 10}\\\)

\(\dfrac{dr}{dt} = -\dfrac{5}{2\pi r }\; {\rm cm/hr}\)

So, the rate at which grindstone diameter decreases is \(-5/2\pi r \;{\rm cm/hr}\).

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Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Answer:

S(x) = 3 × 2^x

Step-by-step explanation:

it is an exponential sequence

the common ratio is 2

Answer:

A. To convert pounds to kilograms, we need to multiply by 0.453592. Therefore, the fish from region A weighs about 130 kg (286 x 0.453592), rounded to the nearest whole number.

B. Similarly, the fish from region B weighs about 279 kg (614 x 0.453592), rounded to the nearest whole number.

Answer:

24

Step-by-step explanation:

area of circle = πr²

πr² = 144π

Cancel out π

r² = 144

r = √144

r = 12

diameter = 2 x radius

diameter = 2 x 12

diameter = 24m

* diameter is the "width of a circle", the distance from the widest points of the circle

the answer for the question is 24

.

The equation that is the inverse of 5y+4= (x+3)²+12 is y = -3 ± √(5x - 8)

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

5y+4= (x+3)²+12

Swap x and y in the equation

So, we have

5x + 4= (y + 3)² + 12

When we make the vairiable y the subject, we have

y = -3 ± √(5x - 8)

Hence, the equation that is the inverse of 5y+4= (x+3)²+12 is y = -3 ± √(5x - 8)

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Answer:

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

Simplify in below steps:

The two triangles are congruent since they have equal angles and equal sides.

Congruent triangles are two triangles that have exactly the same size and shape.

In other words we can say that they have the same angles and the same side lengths.

So when two triangles are congruent, all of their corresponding parts including the angles and sides are equal.

For the given triangles

The missing value of angle C = 180 - (18 + 110) = 52⁰

The missing value of angle F = 180 - (18 + 52) = 110⁰

So it is obvious that the two triangles are congruent since they have equal angles and equal sides.

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Answer:

Oldest to newest:

10^-35, 10 ^-10, 0

Step-by-step explanation:

Scientific notation

To figure out the power of 10 think "how many places do I move the decimal point?"

When the number is 10 or greater the decimal point moves to the left, and the power of 10 is positive.

When the number is smaller than 1 the decimal point moves to the right, so the power of 10 is negative.

Answer:

  (-∞, -3] or [-3, ∞)

Step-by-step explanation:

You want the largest domain interval(s) on which the function shown in the graph could be one-to-one.

A one-to-one function must pass the horizontal line test. That is, no horizontal line can intersect its graph in more than one place.

For that to be true of the given function, the interval on which it is defined cannot include values on both sides of x=-3, where the graph has a minimum. That is, the domain must be either x ≤ -3, or x ≥ -3, (or some subset of either of these).

The largest intervals on which the function has an inverse are ...

  (-∞, -3]  or  [-3, ∞)

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To make the given function one-to-one and have an inverse, we can restrict its domain to (-∞, a) or (a, ∞), where 'a' is the x-coordinate of the highest or lowest point on the graph.

To make the given function one-to-one and have an inverse, we need to restrict its domain. The largest domains, in interval notation, that can be used are: (-∞, a) or (a, ∞) where 'a' is the x-coordinate of the highest or the lowest point on the graph, depending on the function type.

If the graph has a highest point, the domain is restricted to (a, ∞), where 'a' is the x-coordinate of the highest point. If the graph has a lowest point, the domain is restricted to (-∞, a), where 'a' is the x-coordinate of the lowest point.

For example, if the graph has a highest point at (3, 5), the domain would be restricted to (3, ∞) to make the function one-to-one and have an inverse.

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Answer:

Refer the photos above and have a good day

Suppose Easton entered in * x * shows , So we have :

60/100 × x = 15

x = 1500/60

x = 150/6

x = 25

Thus he entered 25 shows last year.

Answer:

270 mins if I'm not mistaking

The x-intercepts of the graph of f(x) are x = 3/2 and x = 1,the Vertex of the graph of f(x) is (5/4, 3/8), and it is a minimum point, The vertex is at (5/4, 3/8). This is the minimum point of the graph.

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.

2x^2 - 5x + 3 = 0

To factor this quadratic equation, we look for two numbers that multiply to give 3 (the coefficient of the constant term) and add up to -5 (the coefficient of the linear term). These numbers are -3 and -1.

2x^2 - 3x - 2x + 3 = 0

x(2x - 3) - 1(2x - 3) = 0

(2x - 3)(x - 1) = 0

Setting each factor equal to zero, we get:

2x - 3 = 0   -->   x = 3/2

x - 1 = 0   -->   x = 1

Therefore, the x-intercepts of the graph of f(x) are x = 3/2 and x = 1.

Part B: To determine whether the vertex of the graph of f(x) is a maximum or a minimum, we look at the coefficient of the x^2 term, which is positive (2 in this case). A positive coefficient indicates that the parabola opens upwards, so the vertex will be a minimum.

To find the coordinates of the vertex, we can use the formula x = -b/2a. In the equation f(x) = 2x^2 - 5x + 3, the coefficient of the x term is -5, and the coefficient of the x^2 term is 2.

x = -(-5) / (2*2) = 5/4

Substituting this value of x back into the equation, we can find the y-coordinate:

f(5/4) = 2(5/4)^2 - 5(5/4) + 3 = 25/8 - 25/4 + 3 = 3/8

Therefore, the vertex of the graph of f(x) is (5/4, 3/8), and it is a minimum point.

Part C: To graph f(x), we can use the information obtained in Part A and Part B.

- The x-intercepts are x = 3/2 and x = 1. These are the points where the graph intersects the x-axis.

- The vertex is at (5/4, 3/8). This is the minimum point of the graph.

We can plot these points on a coordinate plane and draw a smooth curve passing through the x-intercepts and the vertex. Since the coefficient of the x^2 term is positive, the parabola opens upwards, and the graph will be concave up.

Additionally, we can consider the symmetry of the graph. Since the coefficient of the linear term is -5, the line of symmetry is given by x = -(-5) / (2*2) = 5/4, which is the x-coordinate of the vertex. The graph will be symmetric with respect to this line.

By connecting the plotted points and sketching the curve smoothly, we can accurately graph the function f(x).

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Barbara, this is the solution:

We have the interval:

1 ≤ x ≤ 4,

therefore, the values of x included in the interval are:

• 1

• 2

• 3

• 4

Now, for calculating the average rate of change, we use the following formula:

Highest value of f(x) within the interval - Lowest value of f(x) within the interval/Number of values of x in the interval.

Replacing with the values we know:

• Average rate of change = (39 - 12)/4

• Average rate of change = 27/4

• Average rate of change = 6.75