1 Keith uses a can opener. Every time he twists the knob on the opener, the opener moves 36° around the can's lid. Which best describes how open the can is after 5 twists?

Answer:

24:26 and 36:39 are two ratios that are equivalent to 12:13.

Step-by-step explanation:

The value of the expression f(a) is f(a) = a^2 + 7a, based on the given function f(x) = x^2 + 7x and the value x = a

The given parameters in the question are:

f(x) = x^2 + 7x and

x = a as in f(a)

This means that the equation of the function f(x) is given as:

f(x) = x^2 + 7x

To calculate the value of the function f(a), we simply substitute a for x in the equation of the function f(x) = x^2 + 7x.

This means that we set x to a in the equation of the function f(x) = x^2 + 7x.

So, we have;

f(a) = a^2 + 7a

The above equation cannot be further simplified or expanded

So, we conclude that

Based on the given function f(x) = x^2 + 7x and the value x = a, the value of the expression f(a) is f(a) = a^2 + 7a

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answer:

the answer is 13

Step-by-step explanation:

9+4=13

Answer:

y=-3-3x

Step-by-step explanation:

Transpose the equation for y

y=-12/4-12x/4

y=-3-3x

Answer: The 1st friend would get 1/2 of toast, 2nd friend would get 1/2 of toast, & the third friend would get 1/1=(1) of toast

Hope this helps! c:

Answer:

A.

Step-by-step explanation:

Because 5*10^9= 5 Billion, and that's the closest answer.

To find the number of dimes and quarters, you have 17 dimes and 34 quarters in your pocket , when there are 51 coins in your pocket.

To solve this problem, we can set up a system of equations using the given information. Let's use "d" to represent the number of dimes and "q" to represent the number of quarters.

We know that there are 51 coins in total, so we can write the equation: d + q = 51.

We also know that the total value of the coins is $10.20, which can be expressed as 10d + 25q (since dimes are worth 10 cents and quarters are worth 25 cents). So our second equation is: 10d + 25q = 1020.

To solve this system of equations, we can use substitution or elimination. Let's use substitution:

Rearrange the first equation to solve for d: d = 51 - q.

Substitute this expression for d in the second equation: 10(51 - q) + 25q = 1020.

Simplify and solve for q: 510 - 10q + 25q = 1020.

Combine like terms: 15q = 510.

Divide both sides by 15: q = 34.

Now substitute this value back into the first equation to solve for d: d + 34 = 51.

Subtract 34 from both sides: d = 17.

Therefore, you have 17 dimes and 34 quarters.

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The domain and range of the function y = 1/2 - 1 lies on  (-∞, ∞)

The collection of all input values (sometimes referred to as independent variables) for which a function is defined and yields a valid output is known as the domain of the function. It is the collection of all possible values that can be entered into a function.

All real numbers, for instance, fall inside the domain of the function        f(x) = x², since any real number may be squared to yield an accurate result.

On the other hand, a function's range is the collection of all feasible output values (also known as the function's dependent variable) that it can generate. It is the collection of all outcomes that the function is capable of producing.

For instance, since squaring real numbers makes the range of the function f(x) = x² all non-negative values.

It's vital to remember that not all functions have the same range or are defined for all conceivable input values. For instance, because the square root function x is not defined for negative numbers, all real numbers that are not negative fall within its domain.

In conclusion, the collection of all input values for which a function is defined and yields a valid output is known as the domain of the function. The collection of all potential output values that a function may produce is known as its range.

In the given function;

y = 1/2x - 1

The domain of this function is (-∞, ∞)

The range of the function f(x) = 1/2x - 1 is (-∞, ∞)

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Answer:3; the ride costs $3 per mile

Step-by-step explanation:

Rate of Change of the function is 3. then the ride costs $3 per mile.

The average Rate of Change of the function f(x) can be calculated as;

\(f(x) = \dfrac{f(b) - f(a)}{b-a}\)

We are given  the total cost of a ride-sharing trip, y, is a function of the distance traveled,

Distance (mi), Total Cost ($). y

2                       0

5                       1  

8                        2

11                       3

14                       4

Therefore,

Rate of Change of the function

(5 - 2) / (1- 0)

= 3 / 1

Hence, we can conclude that the ride costs $3 per mile.

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Answer:

44

Step-by-step explanation:

vertical angles

The domain of the relation is the set of all the first components of the ordered pairs, which in this case is the set {-4, -9, -4, 8}. The range of the relation is the set of all the second components of the ordered pairs, which in this case is the set {2, -5, 12, -8}.

Therefore, the domain of the relation is {-4, -9, -4, 8} and the range of the relation is {2, -5, 12, -8}.

Answer:

Domain: -4, -9, -4, 8

Range: 2, -5, 12, -8

Step-by-step explanation:

Domain represents the independent variables, or the x coordinates

Range represents the dependent variables, or the y coordinates

The x coordinates or domain in this relation are:

-4, -9, -4, 8

The y coordinates or range in this relation are:

2, -5, 12, -8

Given the expression:

To solve it:

ANSWER

D. 5.946 x 10⁴

Please find attached photograph for your answer. The answer will be option B.

Answer:

oooo lucky for you

Step-by-step explanation:

answer

64/729

Answer: B. Cannot be determined

Explanation:

We can't use SAS since we don't have two pairs of proportional sides. We only know one pair of sides. This also rules out SSS as well since we'd need 3 pairs of proportional sides.

We can't use AA because we don't have two pairs of congruent angles.

Currently, we simply don't have enough information to determine if the triangles are similar or not.

Answer: $200

Step-by-step explanation:

On the X axis, it shows the kilograms. Since the problem asks for how much money she makes for 60 kg, go to the point on the X axis that represents 60 kg and then go up to the corresponding y or dollar value, which is 200.

When the former image is rotated, the dots will be located at section 2 and 7.

When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.

From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.

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Answer:

x = 16

Step-by-step explanation:

Opposite sides are equal in a parallelogram

AD = BC

5x - 12 = 3x + 20

5x - 3x = 20 + 12

2x = 32

x = 32/2

x = 16

In order to explain why -4 - 2 equals -8, let's start with the equation 0.2 = 0. By analyzing this equation, we can uncover the reason behind this seemingly counterintuitive result.

1. Begin with the equation 0.2 = 0.

2. Subtract 0.2 from both sides of the equation to isolate the variable: 0.2 - 0.2 = 0 - 0.2.

  This simplifies to 0 = -0.2.

3. Observe that the right side of the equation, -0.2, is a negative number.

4. Recall that subtracting a negative number is equivalent to adding its positive counterpart. Therefore, -0.2 is the same as +0.2.

5. Rewrite the equation as 0 = +0.2.

6. Notice that 0 on the left side of the equation is equal to 0 + 0, since any number added to zero remains unchanged.

7. Substitute 0 + 0 for 0 in the equation: 0 + 0 = +0.2.

8. Simplify the equation to 0 = +0.2.

9. Finally, recognize that a positive number cannot equal zero. Hence, the equation 0 = +0.2 is false.

10. As a result, the original equation 0.2 = 0 is invalid.

11. Therefore, the logical consequence is that any subsequent deductions based on this invalid equation would also be incorrect.

12. Consequently, -4 - 2 does not equal -8, as per the explanation derived from the flawed equation.

To summarize, by analyzing the equation 0.2 = 0, we can determine that subsequent deductions based on this equation are incorrect. Hence, -4 - 2 does not equal -8.

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Answer:

Step-by-step explanation:

it would be "c" because the question asks for the number that makes the inequality true

4x≤ x+3

the graph in c is saying that every number that is 1 or less than 1 makes the inequality true. so lets take -7 as an example

4 x -7=-28

-28+3=-25

-25 is greater than -28 so the inequality is true. the reason why graph d doesnt work is because if we plug in 2 into the equation, then 4x =8 and x+3=5

5 is not greater than 8 so it doesnt work

A trunk is a cylinder which means that its volume is given by the product between the area of its circular base and its height. We have the height but we need to find the area of the base. We do know the circumference. The circumference of a circle of radius r is given by:

So with the circunference we can find the radius of the base and with the radius we can find its area since the area of a circle is given by:

So knowing that the circumference is 4.5 ft the equation for the radius is:

We divide both sides by 2π:

With the radius we find the area of the base:

Then we multiply this by the height:

The closest option to this value is 24.43 ft³ so the answer is option B.

The expansion will be 64d^6 + 1152d^5 + 9720d^4 + 43740d^3 + 98415d^2 + 145458d + 729

We can expand (2d+3)^6 using the binomial theorem, which states that:

(a + b)^n = nC0 * a^n * b^0 + nC1 * a^(n-1) * b^1 + nC2 * a^(n-2) * b^2 + ... + nCn-1 * a^1 * b^(n-1) + nCn * a^0 * b^n

where nCk is the binomial coefficient, given by:

nCk = n! / (k! * (n-k)!)

Expanding (2d+3)^6 using this formula, we get:

(2d+3)^6 = 6C0 * (2d)^6 * 3^0 + 6C1 * (2d)^5 * 3^1 + 6C2 * (2d)^4 * 3^2 + 6C3 * (2d)^3 * 3^3 + 6C4 * (2d)^2 * 3^4 + 6C5 * (2d)^1 * 3^5 + 6C6 * (2d)^0 * 3^6

Simplifying each term using the binomial coefficient formula, we get:

(2d+3)^6 = 1 * 64d^6 * 1 + 6 * 32d^5 * 3 + 15 * 16d^4 * 9 + 20 * 8d^3 * 27 + 15 * 4d^2 * 81 + 6 * 2d * 243 + 1 * 1 * 729

Simplifying each term further, we get:

(2d+3)^6 = 64d^6 + 1152d^5 + 9720d^4 + 43740d^3 + 98415d^2 + 145458d + 729

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Answer:

The answer to your problem is, 0.275 0.273 0.400 and 0.300

Step-by-step explanation:

My calculation ( May not be correct )

P ( low iron or LI )  \(\frac{165}{600}\) = 0.275

P ( low pH | LI ) = \(\frac{45}{165}\) = 0.273

P ( low pH ) = \(\frac{150}{600}\) = 0.400

P ( LI | Low pH ) = \(\frac{45}{150}\) = 0.300

Thus by making these calculations the answer to your problem is, 0.275 0.273 0.400 and 0.300

The solution is: the value of x is x = 29.

Here, we have,

given that,

the angles of the triangle are;

35 degrees

52 degrees

3(x + 2)

now, we know that,

sum of angle of triangle is 180 degrees

According to the angle sum property of a triangle, the sum of all three interior angles of a triangle is 180 degrees.

A triangle is a closed figure formed by three line segments, consisting of interior as well as exterior angles.

so, we get,

35 + 52 + 3(x + 2) = 180

or, 3(x + 2) = 93

or, (x + 2) = 31

or, x = 29

Hence, The solution is: the value of x is x = 29.

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Answer:

40 degrees

Step-by-step explanation:

Since triangle HJL is isosceles, angle HJL is congruent to HLJ, so it is 75 degrees.

Angle HLM is linear with HLJ, so they add up to 180, so HLM = 105 degrees.

Triangle HLM adds to 180 degrees, so 180 - 35 - 105 = 40

considering the graph of exponential function given , the statement that correctly compare the function is

X - intercept and Y - intercept are the two main intercepts.

The x-intercept of a point where the line crosses the x-axis, while the y-intercept is where the line or graph crosses the y-axis.

At x - intercepts the value of y is zero h=following the given values the x intercept for function f is 3 units and 4 units for the y intercept

For function g, following the table, the x intercept is (2, 0) and the y intercept is (0, 4)

the end behavior for function f is x → ∞, y → -∞

the end behavior for function g is x → ∞, y → -∞

hence they have different x and y intercept but same end behavior

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Answer:

Step-by-step explanation:

24 divided by 3 is 8 so 8 times 2 is 16 the answer is 16

The correct way to start finding g(h(x)) is to replace the output of h(x) in

the variables of g(x).

When the output of one function is given to the input of another function they are called composite functions.

In (fog)x which is [f{g(x)}] here the out of the function g(x) is the input of the function f(x).

Given, g(x) = x² - 8 and h(x) = - 6x + 1,

Now, g(h(x)) is the output of h(x) is the input of g(h(x)).

Therefore, g(h(x)) is g(- 6x + 1) = (- 6x + 1)² - 8.

g(h(x)) = - (6x - 1)² - 8.

g(h(x)) = - (36x² - 12x + 1) - 8.

g(h(x)) = - 36x² + 12x - 1 - 8.

g(h(x)) = - 36x² + 12x - 9.

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