Solve. x2 + 10x = −24

Answer:

1,260 mg of copper.

Step-by-step explanation:

This is because in a 3 to 1 ratio, the first number has to be 3 times the second number which is just multiplied by one. since zinc is the second number, it stays the same but the copper as to be 3 times the amount of zinc so 420 mg times 3 which equals 1,260.

Answer:140

Step-by-step explanation:

X< or equal to 8 because x is less than 8 or equal to 8 and x is any number that could be 8 or any number that is less.

I think the answer is C

The elimination method may not be applied directly to solve systems involving nonlinear, transcendental, or linearly dependent equations, demanding more complex techniques for solutions.

A system of equations cannot be directly solved by applying the elimination method if the system involves equations that are not linear or if the equations are dependent in such a way that one cannot eliminate variables easily.

For instance, in the case of two simultaneous transcendental equations, it may be impossible to solve the system through algebraic means using elimination.

In such scenarios, iterative methods like an extension of the Newton-Raphson technique might be necessary. Moreover, dealing with systems of differential equations also requires different approaches, such as the use of matrices or integrating factors when the equations are linearly dependent.

The expanded form is 26,000 + 500 + 90 + 1

Expanded form of any digit is to divide that number into its units, tens, hundreds, thousands and so on.

Since we are given with 26591

So

The expanded form will be

26,000 + 500 + 90 + 1

Answer:

5.3x - 4 .

Step-by-step explanation:

(6.7x -3) - (3.4x - 1) + (2x - 2)

1. using the commutative property:

= 6.7x - 3 +  2x - 2 - (3.4x - 1)      (we can remove the parentheses around the first 2 groups because they are added).

2. Using the distributive property on the last group:

= 6.7x - 3 + 2x - 2 - 3.4x + 1   (distributing the negative over the parentheses).

3. Now adding like terms we get:

5.3x - 4 (answer).

[tex]3 {x}^{2} + 7x + 2 \\ = 3 {x}^{2} + 6x + x + 2 \\ = 3x(x + 2) + 1(x + 2) \\ = (3x + 1)(x + 2)[/tex]

Work is attached in the image provided.

For your second pair of binomials, (3x + 1)(x + 2), the product of the outer terms is 6x and the product of the inner terms is 1x and 6x + 1x = 7x which is the middle term in you're original trinomial.

So the second pair of binomials represents your answer.

Answer:

1 box = 212

1 ball = 16

➷ Standard deviation = [tex]\sqrt{(n*p)(1 - p)}[/tex]

Substitute the values in:

[tex]\sqrt{(500 *0.84)(1-0.84)}[/tex] = 8.1975...

This can be rounded to give an approximate answer of 8.2

The answer is option A.

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➷The answer is True.

You can eyeball the triangle or also get a protractor and also see that this is a right triangle. Remember, right triangles have a right angle.

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DOGE

Answer:

ΔFGH is right triangle

Step-by-step explanation:

Given a triangle with dimensions 10, 7, [tex]\sqrt{51}[/tex]

we have to find FGH is right triangle or not.

[tex]Hypotenuse=10 units[/tex]

[tex]Base=7 units[/tex]

[tex]Height=\sqrt{51}[/tex]

If ΔFGH is right triangle, then by Pythagoras theorem

[tex](Hypotenuse)^2=(base)^2+(height)^2\text{ must be satisfied}[/tex]

[tex]FG^2=GH^2+FH^2[/tex]

[tex]10^2=(\sqrt{51})^2+7^2[/tex]

[tex]100=51+49[/tex]

[tex]100=100[/tex]

which is true

Hence, ΔFGH is right triangle

The answer is True

Answer:

Step-by-step explanation:

12

I believe

In general, the probability of a disjunction is

[tex]P(A \lor B) = P(A)+P(B)-P(A\cap B)[/tex]

In this case, A and B are mutually exclusive, so [tex]P(A\cap B)=0[/tex]

This simplifies the formula to

[tex]P(A \lor B) = P(A)+P(B) = 0.22+0.46 = 0.68[/tex]

A circle is a curve sketched out by a point moving in a plane. The area of sector BEC when CE = 9 yd is 84.823 yds².

The sector of a circle is like a slice of a circular pizza. Its two straight edge's having an angle, and the edge's length(the radius of the circle) are two needed factors for finding the area of that sector.

Since the whole circle with radius 'r' units have 360 degrees angle on the centre of the circle, and its area is

πr² unit², thus, as the angle lessens, this area gets lessened.

360 degree => πr² unit²

[tex]\rm area\ 1 degree = \pi r^2 \: \rm unit^2/360 area\\\\x\ degree = \dfrac{x \times \pi r^2}{360} \: \rm unit^2 area[/tex]

Thus, the area of a sector with edge length 'r' units and interior angle 'x' degrees is given as:

Given the length of the radius of the circle, CE is 9 yds. Also, the measure of the ∠BEC at the centre of the circle is 120°. Therefore, the area of sector BEC can be written as,

Area BEC = π × r² × (θ/360°)

                 = π × 9² × (120° / 360°)

                 = 84.823 yds²

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(2/3)x+1=(1/6)x-7

*Isolate the variable by subtracting (1/6)x from both sides*

0.5x+1=-7

*Subtract 1 from both sides*

0.5x=-8

*Divide both sides by 0.5*

A. x=-16

Hope this helps!!

Answer:

A

Step-by-step explanation:

To eliminate the fractions in the equation, multiply all terms by the lowest common multiple of 3 and 6, that is 6

4x + 6 = x - 42 ( subtract x from both sides )

3x + 6 = - 42 ( subtract 6 from both sides )

3x = - 48 ( divide both sides by 3 )

x = - 16

Answer:

the variability of tempuratures in town A and town B was the same

The answer to this question is A

a is the best option

Answer:

5

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 4, 8 ] and from the graph

f(b) = f(8) = 10

f(a) = f(4) = - 10, hence

average rate of change = [tex]\frac{10-(-10)}{8-4}[/tex] = [tex]\frac{20}{4}[/tex] = 5

Step-by-step explanation:

1.  If any one side and any one common angle are equal in triangles PQR and PRS, then their corresponding sides are also equal.

2. If two sides and one included angle are equal in triangles PQS and PRS, then their third sides are equal.

3.  In triangles PQR and PQS, if one side and one angle are equal, then their corresponding sides and angles are also equal.

4. In triangles PRS and PQS, all three angles are equal.

The answer you are looking for is true

Answer:

The answer is true.

Step-by-step explanation:

Ratio and Proportion can be used to convert weights between different systems of measurement. This is true.

When we are given any problem with different measurements, then we should first convert the problem in such a unit that all units are the same.

We can define ratio as a comparison between two numbers.  

Whereas the proportion is a comparison between two ratios.

19 percent of the people polled who preferred burgers were teachers.

Answer:

Option A is correct.

Step-by-step explanation:

According to results shown, we can say that option A is true.

In the burger column in above segment, we see that total number of students are 17 and total teachers are 4. Making it a total of 21.

So, [tex]\frac{4}{21}*100=19.04[/tex] ≈ 19% are teachers.

So, 19% of the polled people who preferred burgers were teachers.

Option B cannot be true as all the teachers were polled. Out of all 19% preferred burgers.

Option C is also not true because 19% was not from all the population. It was only from the teachers.

So, only option A is correct.

To identify the cup that is not within the specified tolerance, calculate the upper and lower limits of the tolerance and compare them to the actual diameter of each cup in the sample. The fourth cup with a diameter of 5.5in is not within the specified tolerance.

In this question, we are given the tolerance for the diameter of the cup's mouth, which is 5in ± 8%. We have a sample of cups with their diameters listed in a table. To identify the cup that is not within the specified tolerance, we need to calculate the upper and lower limits of the tolerance and compare them to the actual diameter of each cup in the sample.

To calculate the upper limit, we add 8% of 5in to the nominal value of 5in. This gives us 5in + 0.08 * 5in = 5in + 0.4in = 5.4in. To calculate the lower limit, we subtract 8% of 5in from the nominal value of 5in. This gives us 5in - 0.08 * 5in = 5in - 0.4in = 4.6in. Now, we compare the actual diameters of the cups in the sample to these upper and lower limits to determine which cup is not within the specified tolerance.

Looking at the table of cup diameters, we can see that the fourth cup has a diameter of 5.5in, which is greater than the upper limit of 5.4in. Therefore, the fourth cup is not within the specified tolerance.

Answer:1124

Step-by-step explanation:

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➷ 24+68+1032

First:

Add 24 and 68

24+68=92

Next add 92 to 1032

92+1032=1,124

Final answer:

1,124

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TROLLER

Answer:

Step-by-step explanation:

The equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have the equation:

[tex]x^2+(y-4)^2=25\\\\(x-0)^2+(y-4)^2=5^2[/tex]

h = 0, k = 4, r = 5

Answer:150

Step-by-step explanation:p

100

×

18

=

27

100

18

×

p

100

×

18

=

100

18

×

27

100

18

×

p

100

×

18

=

2700

18

p

=

2700

18

p

=

150

Answer:

-4×5+3=,lost 20 pounds and gained 3 pounds

Step-by-step explanation:

Answer:

The first one f(x)= 100 · (3/5)^x

Step-by-step ex

Answer:

 A.  f(x)=100 . (3/5)x  

Step-by-step explanation:

X=value of the house before increase

(100%+29%)X=516,000

(129%)X=516,000

1.29x=516,000 | divided by 1.29 both sides

X=400,000$ was the value when it was purchased

Answer:

The value of house $ 400,000

Step-by-step explanation:

Let x be the price of house when it was purchased,

∵ 29% of x = [tex]\frac{29x}{100}[/tex] = 0.29x

According to the question,

x + 29% of x = 516000

x + 0.29x = 516000

1.29x = 516000

[tex]\implies x=\frac{516000}{1.29}=400000[/tex]

Hence, the value of the house is $ 400,000 when it was purchased.

Answer:

2 workers will take 12 hours to dig six holes

Two workers take 12 hours to dig 6 holes.

The method in which first we find the value of one unit and then the value of the required number of units is known as the Unitary Method.

Let t be the time taken by the two workers to dig a six hole.

According to the given question.

4 workers take 4 hours to dig 4 holes.

So, the number of hours taken by the one workers to dig a one hole is given by

Number of hour taken by a single worker to dig 1 hole = [tex]\frac{4 \times 4}{4}[/tex] = 4hours

Therefore,

The time taken by 2 workers to dig 6 holes is given by

[tex]\frac{4\times 4}{4} = \frac{2\times t }{6} \\\implies 4 \times 6 = 2\times t\\\implies 24= 2\times t\\\implies t = \frac{24}{2} \\\implies t = 12 hours[/tex]

Hence, two workers take 12 hours to dig 6 holes.

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Answer:

14.7 trees

Step-by-step explanation:

First you need to find how many trees she cuts down to build one cabin. So you divide:

10.5/5=2.1

She cuts down 2.1 trees to make one cabin.

Next you multiply:

2.1*7=14.7

Answer:

2 2/3 is what I got

Step-by-step explanation:

subtract 5/6 from 3 1/2

Final answer:

Derek's sign is 2 feet and 11/12 of a foot long, as we multiply 7/2 (Julianne's sign length in improper fraction) by 5/6 (the length ratio of Derek's sign to Julianne's) to get the answer.

Explanation:

To find the length of the sign Derek made, we need to calculate 5/6 of the length of Julianne's sign. Julianne's sign is 3 1/2 feet long. To facilitate the multiplication, we first convert 3 1/2 feet to an improper fraction, which is 7/2 feet.

Now, we multiply 7/2 (the length of Julianne's sign) by 5/6 (the factor by which Derek's sign is shorter).

(7/2) × (5/6) = 35/12 feet

To simplify 35/12, we divide 35 by 12, which equals 2 with a remainder of 11. Therefore, Derek's sign is 2 feet and 11/12 of a foot, or approximately 2.92 feet long.

3^(2x+4)=17

We move all terms to the left:

3^(2x+4)-(17)=0

We move all terms containing x to the left, all other terms to the right

3^(2x+4)=17