Can someone please help me it’s for geometry thank you :)

Answer:

f(3) = -9

Step-by-step explanation:

Given that,

→ f(x) = -7x + 12

Then the value of f(3) will be,

→ f(3) = -7(3) + 12

→ f(3) = -21 + 12

→ [ f(3) = -9 ]

Hence, the value is -9.

Answer:

Option (4)

Step-by-step explanation:

Mass of Mercury = 3.3 × \(10^{23}\) kg

Mass of Mars = 6.42 × \(10^{23}\) kg

Therefore, ratio of the masses of Mars and Mercury = \(\frac{6.42\times 10^{23} }{3.30\times 10^{23}}\)

                                                                                       = 1.95

\(\frac{\text{Mass of Mars}}{\text{Mass of mercury}}=1.95\)

Mass of Mars = 1.95 × (Mass of Mercury)

Therefore, mass of Mars is .95 times more than Mercury.

Option (4) will be the answer.

Option 2 is correct that is 1.79

When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3).

The quartiles formula is as follows:

Upper Quartile (Q3) = 3/4(N+1)

Lower Quartile (Q1) = (N+1) * 1/3

Middle Quartile (Q2) = (N+1) * 2/3

Interquartile Range = Q3 -Q1,

1.74, 0.24, 1.56, 2.79, 0.89, 1.16, 0.20, and 1.84 are available.

Sort the data as follows: 0.20, 0.24, 0.89, 1.16, 1.56, 1.74, 1.84, 2.79 in ascending order of magnitude.

The data set has 8 values.

hence, n = 8; third quartile: 3/4 (n+1)th term

Q3 =3/4 of a term (9) term

Q3 =27/4 th term

Q3 = 1.74 + 1.84 / 2 (average of the sixth and seventh terms)

equals 1.76

Thus Q3 is 1.76 that is option 2

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Answer:

d > 50

Step-by-step explanation:

Given that:

The amount in Joe's savings account is greater than $50 ; > 50

The amount, d in dollar which could be in the amount, represented as an inequality is :

d > 50

Answer:

The largest possible result she can get is 550

Step-by-step explanation:

Here we have that to find the largest possible result, the numbers from which the last number is subtracted from should be the largest possible, hence

Whereby, we had K × A × N + G × A - R × O × O, then;

K ------- 9

A---------8

N---------7

G---------6

A---------8

R---------2

O---------1

O---------1

will give, 504 + 48 - 2 = 550

If however, the A = 7 and N = 8 we have;

504 + 42 - 2 = 544

Hence, the largest possible result she can get = 550.

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Using PEDMAS to simplify the expression, the result is -830t² + 164t + 5798.4

To solve this problem, we have to simplify the expression. This is a process of breaking it down from a complex form to the least possible form. In doing this, we often apply mathematical operations such as multiplication, addition, subtraction etc.

In the expression 362.4 * 16 - 2t + 83t * (2 - 10t)

Let's apply PEDMAS here

362.4 * 16 = 5798.4

83t (2 - 10t) = 166t - 830t²

We can bring them together now;

5798.4 - 2t + 166t - 830t²

Collecting like terms

-830t² + 164t + 5798.4

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Answer: Unit price is $4 for 1 pint

Check if ur question was stated right

Step-by-step explanation:

$12 ÷ 3 pints = 4

Answer:

solving the equation \(5x^2 - 16 = 29\) we get the solution: \(\mathbf{x=3,x=-3}\)

Step-by-step explanation:

We need to solve the equation \(5x^2 - 16 = 29\)

We need to solve the equation to find the value of x.

We can solve this equation using simple DMAS rule.

We are given:

\(5x^2 - 16 = 29\)

Add 16 on both sides

\(5x^2 - 16+16 = 29+16\\5x^2=45\)

Now, divide both sides by 5

\(\frac{5x^2}{5}=\frac{45}{5} \\x^2=9\)

Now, we know that \(\sqrt{x^2}=\pm x\)

Taking square root on both sides.

\(\sqrt{x^2}=\sqrt{9}\\x=\pm3\)

So, we get values of x:

\(x=3, x=-3\)

Therefore, solving the equation \(5x^2 - 16 = 29\) we get the solution: \(\mathbf{x=3,x=-3}\)

Answer: In step 2, he had to divide both sides by 2

Step-by-step explanation:

Answer:

c.

Step-by-step explanation:

The red line represents the point at which the enzyme is denatured and loses its biological activity.

The statement that accurately describes what occurs at the point indicated by the red line is:

The enzyme is denatured.In enzymology, enzymes are proteins that catalyze biochemical reactions, therefore, these are also called biological catalysts.

Enzymes have an optimum temperature and pH range, outside of which the enzymes become inactive or denatured, leading to a decrease in reaction rates.

When the enzyme is denatured, it loses its biological activity and can't act on substrates. This is shown in the figure by the red line that points to the point where the enzyme is denatured.

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The second difference of a quadratic function is 14

Given function is y = 7x² + 1

Now let's find out the second difference of the given function by following the below steps.

The second difference formula for a quadratic function is 2a. Table of second differences for the given quadratic function

:xy7x²+11 (7) 2(7)= 14 3(7) = 21

The first difference between 7 and 14 is 7

The first difference between 14 and 21 is 7.

Now find the second difference, which is the first difference between the first differences:7

The second difference for the quadratic function y = 7x² + 1 is 7. The conjecture about the second difference of quadratic functions is as follows: The second differences for quadratic functions are constant, and this constant value is always equal to twice the coefficient of the x² term in the quadratic function. Thus, in this case, the coefficient of x² is 7, so the second difference is 2 * 7 = 14.

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The journal entries are as follows:

1. Donation received for capital addition:

  - Debit: Cash (Restricted) - $502,000

  - Credit: Donation Revenue (Restricted) - $502,000

2. Purchase of land with donated funds:

  - Debit: Land (Restricted) - $502,000

  - Credit: Cash (Restricted) - $502,000

3. Contribution to the permanent endowment:

  - Debit: Cash (Unrestricted) - $210,000

  - Credit: Endowment (Permanent) - $210,000

4. Interest and dividend received on endowment investments:

  - Debit: Cash (Restricted) - $50,000

  - Credit: Endowment Income (Restricted) - $50,000

5. Increase in fair value of investments:

  - Debit: Fair Value Adjustment - Investments (Unrestricted) - $7,100

  - Credit: Unrealized Gain/Loss - Investments (Unrestricted) - $7,100

Here's a step-by-step explanation of the journal entries for each transaction assuming Southeastern College is a private university:

1. Record the donation received for capital addition:

  - Debit: Cash (Restricted) - $502,000

  - Credit: Donation Revenue (Restricted) - $502,000

The university received a donation of $502,000 specifically for capital additions. The cash received is debited to the Cash (Restricted) account, which represents the restricted funds. The corresponding credit is made to the Donation Revenue (Restricted) account, recognizing the revenue generated from the restricted donation.

2. Record the purchase of land with donated funds:

  - Debit: Land (Restricted) - $502,000

  - Credit: Cash (Restricted) - $502,000

The university used the donated funds to purchase land adjacent to the campus. The Land (Restricted) account is debited to recognize the acquisition of the land, while the Cash (Restricted) account is credited to reflect the outflow of restricted cash for the purchase.

3. Record the contribution to the permanent endowment:

  - Debit: Cash (Unrestricted) - $210,000

  - Credit: Endowment (Permanent) - $210,000

An alumnus made a contribution of $210,000 to the permanent endowment fund. The Cash (Unrestricted) account is debited to record the receipt of unrestricted cash, and the Endowment (Permanent) account is credited to reflect the increase in the permanent endowment fund.

4. Record the interest and dividend received on endowment investments:

  - Debit: Cash (Restricted) - $50,000

  - Credit: Endowment Income (Restricted) - $50,000

The endowment investments generated $50,000 in interest and dividends. The Cash (Restricted) account is debited to recognize the receipt of restricted cash, while the Endowment Income (Restricted) account is credited to record the income earned on the endowment investments.

5. Record the increase in fair value of investments:

  - Debit: Fair Value Adjustment - Investments (Unrestricted) - $7,100

  - Credit: Unrealized Gain/Loss - Investments (Unrestricted) - $7,100

The fair value of the investments held by the university increased by $7,100. To reflect this change, the Fair Value Adjustment - Investments (Unrestricted) account is debited, and the Unrealized Gain/Loss - Investments (Unrestricted) account is credited to capture the unrealized gain.

This step-by-step explanation outlines the journal entries required for each transaction assuming Southeastern College is a private university.

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Answer:

When a polynomial f(x) is divided by ax + b and f(a/b) = 0, ax - b is a factor of f(x).

Let 2x³ + x² + 2Ax + 4 be f(x).

f(1) = 0

Substitute x = 1 into the equation.

2(1)³ + (1)² + 2A(1) + 4 = 0

2 + 1 + 2A + 4 = 0

2A = -7

A = -7/2

Answer:

x = 3

y = -1

Step-by-step explanation:

5x + 3y = 12

x - 4y= 7

Times the second equation by -5

5x + 3y = 12

-5x + 20y = -35

23y = -23

y = -1

Now put -1 back in for y and solve for x

x - 4(-1) = 7

x + 4 = 7

x = 3

Let's check

3 - 4(-1)= 7

3 + 4 = 7

7 = 7

So, x = 3 and y = -1 is the correct answer.

A. By the given conditions, the function f has a root in the interval [a, b].

B. The given conditions provide information about the function f and its derivatives.

Let's analyze the conditions step by step:

1. f(a) < 0 and f(b) > 0: This implies that function f takes negative values at the left endpoint a and positive values at the right endpoint b.

In other words, the function changes the sign between a and b.

2. f'(x) > 0 for all x in (a, b): This condition states that the derivative of f, denoted as f'(x), is always positive in the open interval (a, b).

This indicates that the function is increasing within this interval.

3. f''(x) > 0 for all x in (a, b): This condition states that the second derivative of f, denoted as f''(x), is always positive in the open interval (a, b).

This indicates that the function is concave up within this interval.

By combining these conditions, we can conclude that the function f is continuous, increasing, and concave up within the interval (a, b).

Since f(a) < 0 and f(b) > 0, and the function changes sign between a and b, by the Intermediate Value Theorem, there exists at least one root of the function f in the interval [a, b].

Therefore, the main answer is that the function f has a root in the interval [a, b].

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Answer:

4x+1 =6x-13

6x-4x=13+1

2x=14

x=14/2

x=7

Step-by-step explanation:

the answer will be 7

hence proved

Answer:

C:0.09

Step-by-step explanation:

probability of winning nothing = 0.72 = \(\frac{72}{100}\)

probability of winning a small stuffed animal = 0.19 = \(\frac{19}{100}\)

probability of winning nothing + probability of winning a stuffed animal

= \(\frac{72}{100}\) + \(\frac{19}{100}\) = \(\frac{91}{100}\)

probability of winning an inflatable crayon = 1 -  \(\frac{91}{100}\)

                                                                      = \(\frac{100}{100}\) -  \(\frac{91}{100}\)

                                                                      = \(\frac{9}{100}\)

                                                                      = 0.09

The equivalent expression of 6a/(2a²) is 3/a.

And none of the given option is correct.

Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

Given:

An expression,

6a/(2a²)

Simplifying,

6a/(2a²),

= 6a /(2a×a)

= 3/a is the equivalent expression.

Therefore, 3/a is the equivalent expression.

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∫√(√(17 + x²)) dx: Trigonometric substitution

∫(x sin x) dx: Integration by parts

∫(sin³ x cos² x) dx: Trigonometric identities and simplification

∫(zdx) dx: Power rule

∫dx/√(1+x²²): Trigonometric substitution

To determine the best method for solving each integral, we need to consider the given integrals and their characteristics. The most suitable method will depend on the specific form and properties of each integral.

S 1 / √(√(7 + x²)) dx:

The best method for this integral is likely to use trigonometric substitution, as it involves a square root expression. Substituting x = √7tanθ can simplify the integral.

S (x sin x) dx:

This integral can be solved using integration by parts. Choose u = x and dv = sin x dx, then apply the integration by parts formula.

S sin³ x cos² x dx:

The best method for this integral is likely to use trigonometric identities to simplify the expression. Applying the double angle and power reduction formulas can transform the integral into a more manageable form.

S₁ z dx:

This integral is straightforward as it only involves a single variable. The best method is simply direct integration using the power rule.

S dx / √(1 + x²²):

The best method for this integral is to use trigonometric substitution. Substituting x = tanθ or x = sinθ can simplify the expression and allow for easier integration.

It's important to note that while these methods are suggested based on the given integrals, the choice of the best method may vary depending on the individual's familiarity and comfort with different integration techniques.

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The slope-intercept form of the given equation is y = -3/5x - 5

From the question, we are to write the given equation in the slope-intercept form

From the given information,

The given equation is

3x + 5y = -25  

The general form for the slope-intercept form of the equation of a line is

y = mx + b

Where m is the slope

and b is the y-intercept

Writing the equation in the slope-intercept form of a line

3x + 5y = -25

5y = -3x - 25

Divide through by 5

5y/5 = -3/5x - 25/5  

y = -3/5x - 5

The equation is y = -3/5x - 5

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Answer:

Option A.

Step-by-step explanation:

A rational number is a number that can be expressed in a fraction (ratio of integers).

Option A is rational since both quantity are rational

Option B is irrational since

\(\sqrt{3}\cdot\sqrt{9}=\sqrt{27}\)

where 27 is not a square of any fractions/ integers. Hence, it cannot be expressed as a fraction and is irrational.

Option C is irrational. Note that PI is irrational. Any rational multiples of an irrational number must also be irrational.

Option D is irrational. Similar to Option B.

The calculated value of tan(2π - t) is -3/4

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

sin(t) = 3/5

The tangent of the angle t is calculated as

1 + 1/tan²(t) = 1/sin²(t)

So, we have

1 + 1/tan²(t) = 1/(3/5)²

Evaluate the exponents

1 + 1/tan²(t) = 25/9

Subtract 1 from both sides

1/tan²(t) = 16/9

So, we have

1/tan(t) = 4/3

This means that

tan(t) = 3/4

Using the tangent ratio for tan(2π - t), we have

tan(2π - t) = (tan 2π - tan t)/(1 + tan 2π  * tan t)

This gives

tan(2π - t) = (0 - 3/4)/(1 + 0  * 3/4)

So, we have

tan(2π - t) = -3/4

Hence, the calculated value of tan(2π - t) is -3/4

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Question

Assume that sin(t) = 3/5 and 0 < t < π/2. use an identity to find the number tan(2π - t)

The pulse rates that are within 1 standard deviation of the mean represent approximately 68% of the total to the nearest 0.1 percent.

When working with a set of pulse rates that are normally distributed, we can use the Empirical Rule to determine the pulse rates that are within 1 standard deviation of the mean. According to the Empirical Rule, approximately 68% of the data falls within 1 standard deviation of the mean.

To find the pulse rates that are within 1 standard deviation of the mean, we need to first find the mean and standard deviation of the pulse rates. After we have these values, we can determine the range of pulse rates that fall within one standard deviation of the mean.

To calculate the percentage of the total that represents those rates, we can use the formula: Percentage = (Number of data points within 1 standard deviation / Total number of data points) x 100.

For example, let's say the mean pulse rate is 72 beats per minute and the standard deviation is 8 beats per minute. Using the Empirical Rule, we know that approximately 68% of the pulse rates fall within one standard deviation of the mean. This means that the pulse rates that fall within one standard deviation of the mean are between 64 and 80 beats per minute.

To find the percentage of the total that represents those rates, we need to count the number of data points within that range. If we assume that we have 1000 data points, then the number of data points within the range of 64 to 80 beats per minute is approximately 680. Therefore, the percentage of the total that represents those rates is:

Percentage = (680/1000) x 100

Percentage = 68%

Therefore, the pulse rates that are within 1 standard deviation of the mean represent approximately 68% of the total to the nearest 0.1 percent.

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To find the time and distance at which Liza passes Ralph, we need to solve the system of equations.

Subtracting the first equation from the second, we get:

65x - 60x = y - 25

5x = y - 25

y = 5x + 25

Substituting this value of y into the first equation, we get:

60x + 25 = 5x + 25

55x = 0

x = 0

This means that Liza will pass Ralph 0 hours after she leaves, or at the same time as Ralph. At this time, they will have both traveled 0 miles.

Therefore, the answer is A: Liza will not pass Ralph, because she will never catch up with him.

Answer:

the answer isn’t 95

Step-by-step explanation:

2[3(4^2+1)]-2^3

2[3(17)]-2^3

2[51]-2^3

2x51-2^3

103- -2^3

103-8

95

Answer:

$42

Step-by-step explanation:

Equation: y = 6x

x = number of ice cream cones

y = 6(7) = 42

Hi! I believe your answer is $10.50. If it's $6 for 4 ice cream cones, divide 6 by 4 and you'll get 1.5, or $1.50 per ice cream cone. For 7 ice cream cones, multiply the unit rate ($1.50 per ice cream cone) by 7. The total cost is $10.50. I hope this helps you! Good luck and have a great day. ❤️✨

Answer:

-8

Step-by-step explanation:

You just simplify