Which is a better buy?
9,887 pounds of fertilizer for $10,183.61

2 tons of fertilizer for $2,720.00

The correct statement is: g(x) is translated up 5 units compared to f(x).

The correct answer is A.

The correct answer is A.

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The statement that applies to the sample math is:

B. the work shown to remove all fractions is not correct

The given steps are:

y = ¹/₄x + 2

- I first isolate the constant.

- After doing so, I get the equation: -¹/₄x + y = 2

- To remove the fraction, I multiply by –4, giving the equation x - 4y=2, which is the final answer.

The correct steps are as follows:

y = ¹/₄x + 2

First isolate the constant to get: y - ¹/₄x = 2

To remove the fraction, Multiply the obtained equation by –4

So, Equation : x - 4y = -8

On comparing both the work we can see that in the given work the removal of fraction is done incorrectly

They didn't multiply -4 on the right hand side .

Thus, option B applies.

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Answer:

24024

Step-by-step explanation:

14! / 10!

14 × 13 × 12 × 11 × 10! / 10!

14 × 13 × 12 × 11

24024

Answer:

Step-by-step explanation 14! / 10!

14 × 13 × 12 × 11 × 10! / 10!

14 × 13 × 12 × 11

24024

Answer:

growth rate: 4

y-value: 19

equation: y=4x+19

Step-by-step explanation:

Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.

For the question:
The change in y-values is 11-7=4,

and the change in x-values is +1.

Therefore, the growth rate is 4.

\(\hrulefill\)

Initial Value: The initial value of a linear function is the value of the function when x is 0.

In this case, the initial value is 19.

This can be found by looking at the y-value of the point where x is 0.

In this case, the y-value is 19.

\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Using the table you provided, we can find the slope by using two points on the line.

Let’s use (-3, 7) and (1, 23).

The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4

Now,

Taking 1 point (-3,7) and slope 4.

we can find the equation by using formula:

y-y1=m(x-x1)

y-7=4(x+3)

y=4x+12+7

y=4x+19

Therefore, the equation of the given table is y=4x+19\(\hrulefill\)

Answer:

Growth rate:  4

Initial value:  19

Equation:  y = 4x + 19

Step-by-step explanation:

The slope of a linear function represents its growth rate.

Therefore, the growth rate of a linear function can be found using the slope formula.

Substitute two (x, y) points from the table into the slope formula, and solve for m.  Substituting points (0, 19) and (1, 23):

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)

Therefore, the growth rate of the linear function is 4.

The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.

From inspection of the given table, y = 19 when x = 0.

Therefore, the initial value of the linear function is 19.

To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.

As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:

\(\boxed{y=4x+19}\)

The rule applied to obtain each vertex of the triangle DEF after the transformations is given as follows:

(x,y) -> 1/3(x - 3, y + 5).

The original coordinates of triangle DEF have the following format:

(x,y).

The dilation by a scale factor of 1/3 means that each of the coordinates is multiplied by 1/3, hence:

(x,y) -> 1/3(x,y).

The translation along the vector <-3,5> means that the x-coordinate is subtracted by 3 while 5 is added to the y-coordinate, hence:

(x,y) -> 1/3(x - 3, y + 5).

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Answer:

10

Step-by-step explanation:

Use the distance formula to determine the distance between two points.
√[(x₂ - x₁)² + (y₂ - y₁)²]

This is a transformation of the parent square root function, and it can be written as:

f(x) = √(-x + 4) - 2

It is ratter easy to identify the shape of the general square root function:

f(x) = √x

The only difference is that now it opens to the left, and it starts at the point (4, -2)

Then:

The sign of the x must be negative.

And with the known vertex we can write the equation:

f(x) = √(-x + 4) - 2

That is the graphed function.

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Answer:

43

Step-by-step explanation:

We're to evaluate, |c² - d⁴| + (cd)², if c = 3 and d = -2

Substitute:

|3² - (-2)⁴| + (3 * -2)²

|9 - 16| + (-6)²

|-7| + 36

7 + 36 (absolute value of -7 = 7)

= 43.

Answer: x = $1.75

Step-by-step explanation:

Let's assume that the cost of each sparking plug is x dollars. Then, the cost of the fan belt is x + $1.75 since it costs $1.75 more than each sparking plug.

According to the problem, the total cost of four sparking plugs and a fan belt is $10.50. We can express this as an equation:

4x + (x + $1.75) = $10.50

Simplifying and solving for x, we get:

5x + $1.75 = $10.50

5x = $8.75

x = $1.75

Therefore, each sparking plug costs $1.75 and the fan belt costs $3.50 ($1.75 + $1.75).

Answer: 106 total steps

Step-by-step explanation: add all of the total steps to get your answer

Part A

\(y=0 \implies 6x=24 \implies x=4 \\ \\ \therefore (4,0)\)

Part B

Shari ran past her home after 4 minutes.

During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, the population 7.2 minutes from now can be calculated using the following formula:

P(t) = P ₀e^(rt)where ,P₀ = initial population r = growth rate (as a decimal) andt = time (in minutes)Substituting the given values, P₀ = 172.0 million r = 1.9% per minute = 0.019 per minute (as a decimal)t = 7.2 minutes

The population after 7.2 minutes will be:P(7.2) = 172.0 million * e^(0.019*7.2)≈ 234.0 million (rounded to the nearest tenth)Therefore, the population of e.coli bacteria 7.2 minutes from now will be approximately 234.0 million.

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Answer: 519 120

Step-by-step explanation:

84*84=7056

7056/7=1008

1008*515=519 120

The calculated volume of the prism is 702 cubic cm

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

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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From the given information provided, for random variable x, Var(2X + 1) = 12,  E[(3X - 4²)] = 31.

A random variable is a variable whose value is subject to random variation, meaning that the outcome of an experiment or process is not deterministic, but rather is determined by chance.

(a) Using the properties of variance, we have:

Var(2X + 1) = Var(2X) = 4Var(X) = 4(3) = 12

(b) Using the linearity of expectation and the properties of variance, we have:

E[(3X - 4)²] = Var(3X - 4) + [E(3X - 4)]²

= Var(3X) + Var(-4) + [3E(X) - 4]²

= 9Var(X) + 0 + [3(2) - 4]²

= 27 + 4

= 31

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Answer:

-3/7

Step-by-step explanation:

To find the slope use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 1-4)/(4 - -3)

   = (1-4)/(4+3)

   = -3/7

Answer:

slope = - 3/7

step-by-step explanation:

we have two points which are (-3,4) and (4,1).

To find the slope of line , use the slope formula which is

m = ( y² - y¹ ) / ( x² - x¹)

Where,

substitute the values

m = ( 1 - 4 ) / ( 4 - ( - 3 ))

m = -3 / 7

Hence, slope is -3/7.

Answer:

919,800

Step-by-step explanation:

To round up, the tens place would have to be either 5 or higher. Since the number in the tens place is 2, which is under 5, it will stay the same.

Answer:

your answers will be options B and E

Step-by-step explanation:

hope this helps have a nice day!!

Answer:

below is correct

Step-by-step explanation:

Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. : Two pairs of corresponding angles and the corresponding sides between them are equal.

Answer:

Current Ratio

Step-by-step explanation:

The current ratio is a liquidity ratio that measures how able a company is to pay short-term obligations, or current liabilities, with its current assets.

The formula is \(Current\:Ratio=\frac{Current\:Assets}{Current\:Liabilities}\)

Answer:

the shorter man

Step-by-step explanation:

224 cm minus 174.21 = 49.79

49.79/5.56= approximately 9 standard deviations from the mean.

174.21 minus 97.8= 76.41

76.41/5.56= approximately 14 standard deviations from the mean.

bc the shorter man's height is more SD's away from the mean (average) height his height difference is more extreme.

The table of integrals can be a useful tool for simplifying the integration process, but it's important to have a solid understanding of calculus concepts in order to use it effectively.

The table of integrals is a tool used in calculus to simplify the process of finding antiderivatives. It lists various functions and their corresponding antiderivatives, or integrals.

To use the table of integrals, you first need to identify the function you are trying to integrate. Then, find a similar function in the table and use the corresponding antiderivative to solve your integral.

It's important to note that not all functions have a corresponding antiderivative listed in the table, and in those cases, other integration techniques must be used.

Additionally, it's always a good idea to double check your work and make sure the answer makes sense in the context of the original problem.

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If we use the table of integrals, the solution would be In | tan(x+7) + sec(x+7)|+C. Option A

Using the table of integral, we say

∫ (1/cos(x +7)) dx ⇒ ∫sec (x+7) dx

u = x+7   ⇒ du = dx

= ∫sec (u) du

Expand the fraction by tan (u) + sec (u)

= ∫(sec(u) (tan(u) + sec (u))/ tan (u) + sec (u)

= ∫((sec(u) tan(u) + sec²(u))/ (tan (u) + sec (u))) du

Substitute v= tan(u) + sec (u) ⇒ dv = (sec(u) tan(u) + sec²(u))du

= ∫(i/v)dv

= In(v)

Undo substitution v = tan(u) + sec(u)

=In(tan(u) + sec(u))

= In(tan(x+7) + sec(x +7))

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Answer:

a and c = 115 and b and d = 65

Step-by-step explanation:

Hope this helps :)

Answer:

136 units²

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

36-10-2-6

26-8

18

\(\huge\text{Hey there!}\)

\(\mathsf{6^2 - 2(5 + 1 + 3)}\\\mathsf{= 6^2 - 2(5) - 2(1) - 2(3)}\\\mathsf{= 6^2 - 10 -2(1) - -2(3)}}\\\mathsf{= 6\times 6 - 10 - 2(1) - 2(3)}\\\mathsf{= 36 - 10 - 2(1) - 2(3)}\\\mathsf{= 26 - 2(1) - 2(3)}\\\mathsf{= 26 - 2 - 2(3)}\\\mathsf{= 24 - 2(3)}\\\mathsf{= 18}\)

\(\huge\text{Therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{18}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

0.0128

Step-by-step explanation:

(Use technology and enter your answer rounded to four decimal places.)

We apply the z score formula to this question

z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

We are given: N(2750,560)

x = 1500 grams, μ = 2750 grams, σ = 560 grams

= z = 1500 - 2750/560

z = -2.23214

Determining the Probabilty value from Z-Table:

P(x < 1500) = P(z = -2.23214)

= 0.012803

Approximately to four decimal places = 0.0128

The probability that a randomly chosen late-preterm baby would have a very low birth weight, less than 1500 grams is 0.0128.

Vertical angles are always congruent - they always have the same angle measure.

b = 160°

c = 125°

u = 110°

v = 70°

w = 110°

x = 70°

y = 110°

z = 110°

Theorems

Using the Vertical Angles Theorem:

⇒ a = 20°

Using the Angles on a straight line Theorem:

⇒ 20° + b = 180°

⇒ b = 180° - 20°

⇒ b = 160°

Using the Vertical Angles Theorem:

⇒ c + 35° = b

⇒ c + 35° = 160°

⇒ c = 160° - 35°

⇒ c = 125°

Using the Vertical Angles Theorem:

⇒ u = 110°

⇒ v = 70°

Using the Same-side Exterior Angles Theorem:

⇒ v + w = 180°

⇒ 70° + w = 180°

⇒ w = 180° - 70°

⇒ w = 110°

Using the Corresponding Angles Postulate:

⇒ y = 100°

Using the Vertical Angles Theorem:

⇒ y = z = 110°

Using the Angles on a straight line Theorem:

⇒ x + z = 180°

⇒ x + 110° = 180°

⇒ x = 180° - 110°

⇒ x = 70°

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Answer:

The choose A.

y= – | x+1|–4

I hope I helped you^_^

Answer: sin(0) = 40.804/41

Step-by-step explanation: