Q. You are employed at a grain processing
plant that sells cornmeal for $1.28 per pound.
If a sack of cornmeal weighs 4 pounds 12
ounces, how much does it cost?
A. $6.08
B. $4.95
C. $5.12
D. $6.40

The left-hand side of the equation represents the logarithm of 64 with base x, and it is not possible to find a real value of x that satisfies the equation.

solve the equation logₓ(64) + 5 = 2, we can follow these steps:

Step 1: Move the constant term to the other side of the equation:

logₓ(64) = 2 - 5

logₓ(64) = -3

Step 2: Rewrite the equation in exponential form:

x^(-3) = 64

Step 3: Rewrite 64 as a power of x:

x^(-3) = x^6

Step 4: Set the exponents equal to each other:

-3 = 6

The equation -3 = 6 is not true, which means there is no real solution to the given equation.

Therefore, the equation logₓ(64) + 5 = 2 has no solution in the real number system.

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Answer:

A. or every 1 ton increase in precompression stress, the shear strength of the joint is estimated to increase by 0.987 tons.

Step-by-step explanation:

Hello!

The engineers created a regression model to estimate the relationship between the "shear strength of masonry joints" (Y), measured in tons, and the "precompression stress" (X), measured in tons.

^Y= a + bXi

Using the regression output:

Estimate of the y-intercept: a= 1.192

Estimate of the slope: b= 0.987

In general terms you can interpret the slope as:

"Is the modification of the estimated mean of Y when X increases one unit"

In this case it means that every time the precompression stress increases one ton, the shear strength of the joint is estimated to increase 0.987 tons.

I hope this helps!

Answer:

\(4x \times y = 4xy\)

Answer:

\(\frac{5}{33}\)

Step-by-step explanation:

1.

2

1 5 is what's repeating, and there are two digits.

2.

10² = 100

I chose 10 to the power of 2 because there are 2 digits repeating.

3.

n × 10² = 0.1515 x 10² (square 10)

100n = 0.1515 × 100 (combine like terms)

100n = 15.15

4.

   100n = 15.1515....

-         n = 0.1515....

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

99n = 15

5.

99n = 15 (divide both sides by 99)

n = \(\frac{15}{99}\)

As it asks for simplified form:

\(\frac{15}{99}\) ÷ \(\frac{3}{3} = \frac{5}{33}\)

Therefore, the fractional equivalent of the repeating decimal n = 0.1515... is \(\frac{5}{33}\).

Answer: The amount you would pay (including tax) for the item is:

$755.37 + $52.88 = $808.25

Step-by-step explanation: irst, we calculate the amount of discount that is applied to the original price:

30% of $1199 = 0.3 x 1199 = $359.70

So, the discounted price is:

$1199 - $359.70 = $839.30

Next, we apply the additional 10% off coupon to this discounted price:

10% of $839.30 = 0.1 x $839.30 = $83.93

The final price after the coupon is applied is:

$839.30 - $83.93 = $755.37

Finally, we calculate the sales tax on this final price:

7% of $755.37 = 0.07 x $755.37 = $52.88

The amount you would pay (including tax) for the item is:

$755.37 + $52.88 = $808.25

Answer:

500$

Step-by-step explanation:

Answer:

2,000

Step-by-step explanation:

10,000/5=2000

Answer:

i think its d good luck!!!!!

Answer:

c

Step-by-step explanation:

i think so

The height of the cylinder with radius of 7 yards and given volume of 2,923.34 cubic yards is calculated as; h = 19 yards

A cylinder is defined as a 3D solid shape that consists of two identical and parallel bases linked by a curved surface.

Now, the formula to find the volume of a cylinder is;

V = πr²h

where;

r is radius

h is height

V is volume

The parameters are;

Radius; r = 7 yards

Volume; V = 2923.34 cubic yards

Thus;

2923.34 = π * 7² * h

h = 2923.34/(49π)

h = 19 yards

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Answer: -5/6

Step-by-step explanation: 53/6= 8 5/6 -5/6=8

Answer:

20\(c^{6}\)

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

given

(- 4c³)(- 5c³) ← remove parenthesis

= - 4 × c³ × - 5 × c³

= - 4 × - 5 × c³ × c³

= 20 × \(c^{(3+3)}\)

= 20\(c^{6}\)

Answer:

5-10g+20h

Step-by-step explanation:

Distribute the 5 to each number

a) A minimum of number of dogs that could have a mass of more than 24 kg is 6.

b) The maximum number of dogs that could have a mass of more than 18 kg is 20.

Rearrange the function using fundamental algebraic concepts to get the value of x when the derivative equals 0. This response gives the x-coordinate of the function's vertex, which is where the maximum or minimum will occur. To find the minimum or maximum, rewrite the solution into the original function.

The minimum of the values present in the interval 20 to 40 is 6

The maximum of the values present in the interval 20 to 40 is (12+6) = 18

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B. Theorem is the term that refer to true statements.

According to the definitions of the terms we have:

A confirmed factual assertion is referred to as a theorem.

• Proposition: A truthful assertion that's less significant but nonetheless intriguing.

• Lemma: A true statement that serves as an example of another true statement.

significant theorem that aids in the validation of other findings).

• Corollary: A true statement that can be inferred directly from a premise or theorem.

• Proof: The justification for why a claim is accurate.

• Conjecture: An assertion that is deemed true but for which there is no supporting evidence. (An assertion that is being put forth as being true).

• Axiom: A fundamental presumption regarding a mathematical scenario. (a premise we take to be true)

Hence, B. Theorem is the term that refer to true statements.

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Answer:

\(Z = 2.1\ is\ higher\ than\ 1.96, we\ reject\ H_o\)

Step-by-step explanation:

The explanation of given question is described below:

Here, the test of hypothesis states that

\(H_o : Mean = 28.6\)

\(H_a : Mean\ which\ is\ not\ equals\ 28.6\)

The test statistic is

\(Z = \frac{(\bar X - Mean)}{\frac{Population\ standard\ deviation}{vn} }\)

\(Z = \frac{(30.06 - 28.6)}{\frac{4.18}{6} }\)

= 2.1

According to the given data α = 0.05,

So, the major value is

\(IZ(0.025)I = 1.96\)

(refer to the standard normal table) .

Finally

\(Z = 2.1\ is\ higher\ than\ 1.96, we\ reject\ H_o\)

Answer:

B. 18

Step-by-step explanation:

we need to isolate x to find the solution

x -2 +2 = 16 + 2

x = 18

Answer:

6 yard

Step-by-step explanation:

Since, it given that:

Carlos ran 3 1/2 miles on Saturday and 2 1/2 miles on Sunday.

And asking for how many yards carlos run in all

in all = add

3 1/2 + 2 1/2

Add the whole number

3 + 2 = 5

Since they have the same denominator we can just add them

1/2 + 1/2 = 1 whole

Since it a whole we can add to the whole number

5 + 1 = 6

Thus, Carlos run  6 yards.

Lenvy

Answer:

6 yards

Step-by-step explanation:

To Find:

How many yards did Carlos run in all?

Solution:

In all means addition in this question

Thus,

3 1/2 and 2 1/2

3 1/2 + 2 1/2

we can turn them into improper fraction and then find the answer
3 1/2 = 7/2 and 2 1/2 = 5/2

7/2 + 5/2 = 12/2

12/2 = 6

Hence, Carlos run 6 yards in all

[RevyBreeze]

Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.

When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.

Increased employment opportunities result in more individuals having access to income and improved standards of living.

Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.

Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.

Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.

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Step-by-step explanation:

To convert millimeters to centimeters we divide

As, 10 millimeters = 1 centimeter

So 1 centimeter = 1/10 millimeter

So here of we have 6 millimeters, so centimeters = 6/10 = 0.6cm

So the diameter of each bead in the necklace = 0.6cm

The diameter of bead in a necklaces is 0.6 centimeters.

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

Given that, April is making necklaces using beads that are 6 millimeters in diameter.

We know that, both millimeters and centimeters is the unit to measure the length. One millimeter is equal to 0.1 centimeters and 1 cm is equal to 10 mm.

Here, 6 millimeters

= 6×0.1

= 0.6 centimeters

Therefore, the diameter of a bead is 0.6 centimeters.

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The sentence that best describes the paragraph is: "The pirates didn't believe Caesar would kill them because he was their prisoner." So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.

The paragraph recounts the events of Caesar's kidnapping by pirates while crossing the Aegean Sea. Despite being held captive, Caesar maintained an attitude of superiority. The pirates demanded a ransom of 20 talents of silver, but Caesar insisted they ask for 50. This indicates that Caesar saw himself as more valuable than the initial ransom amount suggested by the pirates.

After the ransom was paid, Caesar did not forget the pirates' actions. He raised a fleet, pursued the pirates, and captured them. The sentence implies that the pirates didn't believe Caesar would actually kill them because he was their prisoner and they likely saw his promises as mere jest.

However, Caesar, true to his word, had the pirates crucified on his own authority.

This sequence of events highlights Caesar's determination, strategic thinking, and his ability to command respect even in dire circumstances. Despite being initially taken prisoner, he managed to turn the tables on the pirates, assert his authority, and exact his revenge. So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.

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Answer:

The answer is b: 1.8

Step-by-step explanation:

Use the arctans of (-4/-5) and subtract is from the arctan of (-3/-4)

38.65980825 - 36.86989765 = approx. 1.8 (b)

:)

Answer:

a proportion of two variable quantities when the ratio of the two quantities is constant. Hope this helps!

Step-by-step explanation:

Answer:

a proportion of two variable quantities when the ratio of the two quantities is constant.

Step-by-step explanation:

Answer:

Each of the twin beds: 5 decorative pillows

Each of the queen beds: 11 decorative pillows

Step-by-step explanation:

Let the number of pillows used for each twin bed be x

Let the number of pillows used for each queen bed be y

she decorated 1 twin bed and 2 queen beds and used a total of 27 pillows. Thus;

x + 2y = 27 - - - (eq 1)

Also, she used

37 pillows to spruce up 3 twin beds and 2 queen beds. Thus;

3x + 2y = 37 - - - (eq 2)

From eq 1, x = 27 - 2y

Thus;

3(27 - 2y) + 2y = 37

81 - 6y + 2y = 37

81 - 4y = 37

4y = 81 - 37

4y = 44

y = 44/4

y = 11

x = 27 - 2(11)

x = 27 - 22

x = 5

Thus, she used 5 decorative pillows for each of the twin beds and 11 decorative pillows for each of the queen bed

The perimeter of the figure is 4(π + 9)ft.

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

Given is a 2 - D figure as shown in the figure attached.

We can write the perimeter as -

P = P{rectangle} + P{semicircle}

P = 2(10 + 8) + (4π)

P =  (4π) + (36)

P = 4(π + 9)

Therefore, the perimeter of the figure is 4(π + 9)ft.

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Answer: 7.2 frames per bit.

Step-by-step explanation:

Our teempo is 200 bpm.

in one minute we have 60 seconds, so here we have:

200b/60s = 3.33 bits per second.

For movies, the standar is 24 frames per second

now, we can take the quotient between the frames per second and the bits per second and get the frames per bit.

24fps/3.33bps = 7.2 frames per bit.

Answer:

Step-by-step explanation:

In order to write the equation of the line perpendicular to the given line, we first have to know what the slope of the given line is, and there's no way to tell by looking at it in its current form, which is standard. We need to solve that equation for y to determine the slope of that line. Solving for y:

\(-3y=-4x+5\) and

3y = 4x - 5 (just change all the signs so our y term isn't negative anymore...yes, you're "allowed" to do that!) and

\(y=\frac{4}{3}x-\frac{5}{3}\) So we can see now that the slope of this line is 4/3. That means that the perpendicular slope is -3/4. Passing through the given point (3, 5):

\(y-5=-\frac{3}{4}(x-3)\)* and

\(y-5=-\frac{3}{4}x+\frac{9}{4}\) and

\(y=-\frac{3}{4}x+\frac{9}{4}+\frac{20}{4}\) so

\(y=-\frac{3}{4}x+\frac{29}{4}\)** and, in standard form:

4y = -3x + 29 and

3x + 4y = 29***

* : point-slope form

** : slope-intercept form

*** : standard form

The value for the Inequality 13x ≤ 200 is x ≤ 15.384.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

13 times a number x is less than or equal to 200.

Now, Writing the Inequality Mathematically

13x ≤ 200

x ≤ 200 / 13

x ≤ 15.384

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The Julián has 0.84 euros left after making these purchases.

Given that Julián spends 2/5 of his savings on a school trip, and 25% of his savings on skates. The question is asking us to find out how much the skates cost and how much money he has left after making these purchases. Let's solve this problem step-by-step.

Part (a) is already solved as we know that Julián spends 2/5 of his savings on a school trip and 25% of his savings on skates.

Part (b) To determine how much the skates cost, we need to first find out what percentage of his savings he spent on skates. Since he already spent 2/5 of his savings, that means he has 3/5 left.

And since he spent 25% of his total savings on skates, we can set up an equation as follows:

0.25(x) = 3/5where x is his total savings.

Cross-multiplying: 0.25(x) * 5 = 3x1.25x = 3x = 3/1.25x ≈ 2.4So, his total savings would be around 2.4 euros.

Therefore, the cost of the skates is 0.25(2.4) = 0.6 euros.Part (c) To find out how much money he has left, we subtract the cost of the school trip and the skates from his total savings:

Total savings - School trip - Skates

= Money left2.4 - (2/5)(2.4) - 0.6

= Money left2.4 - 0.96 - 0.6

= Money left0.84 euros

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