If a = 3 and b = -2, what is the value of
a²+3ab-6²?

Answer:

d.) x = -40

Step-by-step explanation:

[tex]\sf Given \ equation: \ log_{5} (-3x+5) = 3[/tex]

Solving steps:

[tex]\rightarrow \sf log_{5} (-3x+5) = 3[/tex]

If logₐ(b) = c  then  b = aᶜ

[tex]\rightarrow \sf -3x+5 = 5^3[/tex]

[tex]\rightarrow \sf -3x+5 = 125[/tex]

[tex]\rightarrow \sf -3x = 125-5[/tex]

[tex]\rightarrow \sf -3x = 120[/tex]

[tex]\rightarrow \sf x = 120/-3[/tex]

[tex]\rightarrow \sf x = -40[/tex]

Answer:

x= -40

Hope this helps!!

The evaluation of the given improper fraction is  0.64071.

We can evaluate improper fractions by simply determining the L.C.M of the denominators and equating it to the numerators.

Given that:

[tex]=\mathbf{\dfrac{2}{6.341} +\dfrac{3}{9.222} }[/tex]

= The L.C.M for 6.341 and 9.222 is 58.476702.

So, we have:

[tex]\mathbf{= \dfrac{18.444}{58.476702} +\dfrac{19.023}{58.476702} }[/tex]

[tex]\mathbf{= \dfrac{18.444+19.023}{58.476702} } }[/tex]

[tex]\mathbf{= \dfrac{37.467}{58.476702} } }[/tex]

= 0.64071

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The most convenient method to graph the line y=−13x+5 is C. Identify the slope and y-intercept and then graph.

From the information given, the equation has been given. It's important to identify the slope. This is the gradient of the line.

Also, the y intercept should be identified. Therefore, the most convenient method to graph the line y=−13x+5 is to identify the slope and y-intercept and then graph.

In conclusion, the correct option is C.

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Answer:

6227020800

is mi answer

The domain will be 0<x<6 and the range will be 0<y<72.

The information given implies that this would be a continuous relationship.

The process of elimination can be used to rule out the sets of numbers that are used in discrete relationships.

X is the amount of days that he was studying the plants.

The inequality is written like this for x: 0<x<6.

For the range, y is the plant food that was used which is 72 milliliters.

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Answer:

(-5,0) and (4,0)

x= -5 and x= 4

Step-by-step explanation:

Answer:

x = 17

Step-by-step explanation:

1) Make the bases the same then rewrite.

4 = 2²

2^2(2x - 5) = 2^3x + 7

2) Since the bases are the same, set the exponents equal to each other.

2(2x -5) = 3x + 7

4x - 10 = 3x + 7

4x - 3x = 7 + 10

x = 17

Answer: 14.14

Step-by-step explanation:

Volume=(4/3)*π*r³

Given  d=3

as we know that d=2r

                            3/2=r

                            1.5=r

Volume=(4/3)*π*(1.5)³

Volume =14.14

The true statement is (b) she did not represent the two original factors correctly on the headers

The product expression is given as:

(-2x - 1)(2x - 1)

Expand the expression

(-x - x - 1)(x + x - 1)

This means that the header of the algebra tiles would be:

-x, -x, 1 and x, x and -1

From the figure, we can see that this is incorrectly represented

Hence, the true statement is (b)

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Answer:

Its the last option If you ask me.

Step-by-step explanation:

If the price goes up $1.25 every square yard, then I think its the last one.

The required mass of aquarium when it is half full of water is 10 kg.

Mass of the aquarium = 5kg
Length = 25 cm, width = 20 cm and height = 10 cm(when half filled)

Volume, is defined as the ratio of the mass of object to its density.

Since, density of the water = 1000 Kg/m³
Now Mass of the water = Volume x density
= 25/100 x 20/100 x 10/100 x 1000
= 0.005 x 1000
= 5 kg
Now, the total mass of the aquarium when half filed by water.
= mass of water + mass of aquarium
= 5 + 5
= 10 kg

Thus, the required mass of aquarium when it is half full of water is 10 kg.

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[tex]\Large\maltese\underline{\textsf{Our problem:}}[/tex]

Solve the proportion. [tex]\bf{\dfrac{2}{x}=\dfrac{4}{34}[/tex].

[tex]\Large\maltese\underline{\textsf{This problem has been solved!}}[/tex]

We multiply 2 by 34, and x by 4 (this is known as cross multiplication)

[tex]\bf{2*34=4*x}[/tex] | simplify

[tex]\bf{68=4x}[/tex] | solve in terms of x

[tex]\bf{17=x}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\bf{Result:}[/tex]

              [tex]\bf{17=x}[/tex]

Considering the given histogram, we have that:

1. Chebyshev's Theorem.

2. At least 89%.

3. At least 75%.

When we have no information about the population distribution, Chebyshev's Theorem is used. It states that:

An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].

We can see from the histogram that the distribution is not normal, hence Chebyshev's Theorem can be used.

-15 and 105 are within 3 standard deviations of the mean, hence the percentage is of at least 89%.

As stated in the bullet points, at least 75% of the measures are within 2 standard deviations of the mean.

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Answer:

  17.5 m

Step-by-step explanation:

The height of a parabola above its vertex is proportional to the square of the distance from the vertex.

The towers are 1200 m apart, so each is 600 m from center. The location of interest is 300 m from center, so 1/2 the distance to a tower. Since the height is proportional to the square of the distance, the height half-way to the tower will be (1/2)² = 1/4 the height of the tower.

  (1/2)²×(70 m) = 17.5 m

The height of the cable 300 m from center will be 17.5 meters.

Answer:

3.14 PIE

Step-by-step explanation:

Use Pie the method we all learned I think it’s 3.14

Step-by-step explanation:

Length = 5 cm and Breadth = 3 cm

Area of a rectangle = length × breadth

=(5×3) cm

2

=15 cm

2

Hence, Area of rectangle with length 5 cm and breadth 3 cm is 15 cm

The quotient of the division using the long division rule is 4x^2 - x + 3

Polynomial functions are functions that has a leading degree of 3 and above. Given the following parameters.

Dividend = 4x³+ 11x2 +9

Divisor = x + 3

Using the synthetic division to determine the quotient

        4x^2 - x + 3

x+3 | 4x³+ 11x2 +9

        4x³ + 12x²

__________________

               -x² + 0x

               -x² - 3x

___________________

                       3x+9

                       3x+9

___________________

                       -------

Hence the quotient of the division using the long division rule is 4x^2 - x + 3

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Answer:

4

Step-by-step explanation:

The probability of picking a martian that has completed 4 years of high school or is a male is 72 / 85.

Probability determines the odds that a random event would happen. The odds of the event happening lie between 0 and 1.

The probability = (total number of people who have finished 4 years of high school / total number of martains) + (total number of males / total number of martains)

58 / 170 + 86/170 = 144 / 170 = 72 / 85

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Answer:

please see explanations

Step-by-step explanation:

For the first question,

3x + 4x + 2x = 180

9x = 180°

Dividing bothsides by 9

9x/9 = 180/9

x = 20

The measure of the interior angles are :

3x = 3(20) = 60

4x = 4( 20) = 80

2x = 2(20) = 40

For the second question,

Let's find x first.

x + 92 = 180

x = 180 - 92 = 88°

To find A note that:

A = 88° + 43°

A = 131°

The three ratios that are equivalent to the given ratio are options B, C and E.

In order to determine the ratios that are equivalent to the given ratio, we would evaluate by dividing each of them by their respective denominator value:

(11:111:111)/1 = 11:111:111.

For choice A, we have:

1:111:111/11 = 1/11:111:111 (not equivalent).

For choice B, we have:

22:222:222/2 = 11:111:111. (equivalent).

For choice C, we have:

55:555:555/5 = 11:111:111. (equivalent).

For choice D, we have:

9:999:999/99 = 1/11:111:111 (not equivalent).

For choice E, we have:

110:1110:1110/10 = 11:111:111. (equivalent).

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Complete Question:

Select three ratios that are equivalent to 11:111:111, colon, 1. Choose 3 answers: Choose 3 answers: (Choice A) A 1:111:111, colon, 11 (Choice B) B 22:222:222, colon, 2 (Choice C) C 55:555:555, colon, 5 (Choice D) D 9:999:999, colon, 99 (Choice E) E 110:1110:1110, colon, 10.

Answer:

================

Use z-score formula to find the missing value:

Substitute values into equation and find the standard deviation:

Answer:

x = 15

Step-by-step explanation:

[tex]5x + 10 = 100 - x[/tex]

[tex]6x = 90[/tex]

[tex]x = 15[/tex]

Answer: Arjun paid more than Anu of about $2000.

Total cost

unit amount × per unit cost

For Anu total cost:

⇒ 15 × $225

⇒ $3375

For Arjun total cost:

⇒ 25 × $215

⇒ $5375

Anu paid $3375 for each whereas Arjun paid $5375 for each.

Conclusion: Arjun paid more.

Answer:

10 pounds

Step-by-step explanation:

So you have some given information:

  (Price of cashews per pound) = 3.55

  (Amount of cashes) = 20 pounds

  (Price of peanuts, per pound) = 2.50

Now what you're looking for is the amount of peanuts you need to get a mixture of 3.20 per pound. So to find the price per pound. You would take the entire price and divide it by the amount of pounds. So generally it can be expressed as: [tex]\text{price per pound} = \frac{\text{price}}{\text{pounds}}[/tex] . In this equation we know we already have 20 pounds of cashews and they cost 3.55 per pound. We also know what the price per pound of the mixture is going to be, it's going to be 3.20. In the equation I'll express the amount of peanuts as "P" So we have the equation:

Plug in known values:

[tex]3.20 = \frac{20(3.55) + P(2.50)}{20+P}[/tex]

Multiply:

[tex]3.20 = \frac{71 + 2.5P}{20+P}[/tex]

Multiply both sides by 20 + P

[tex](20+P)(3.20) = 71+2.5P[/tex]

Distribute the 3.20

[tex]64+3.2P = 71+2.5P[/tex]

Subtract 2.5 from both side and subtract 64 from both sides

[tex]0.7P = 7[/tex]

Divide both sides by 0.7

[tex]P = 10[/tex]

So 10 pounds will be needed