14(z+3)=14z+21
Please state if it has no solutions, one solution, or infinitely many solutions.

Answer:

No this is not the sequence geometric.

Step-by-step explanation:

Given : 2, -4, -16, -36, ...

To find : Is the sequence geometric? If so, identify the common ratio.

Solution : We have given that 2, -4, -16, -36, ...

In a Geometric Sequence each term is found by multiplying the previous term by a constant.

Geometric Sequence like this:

{a, ar, ar², ar³, ... }

On comparing

2, -4, -16, -36, ...

{ 2 , 2 ×-2, 2×(-2)², 2×(-2)³..

So we get { 2, -4, -8, -16...

Therefore , No this is not the sequence geometric.

Since the quotient between consecutive terms is different, the sequence is not geometric, and the correct option is:

In a geometric sequence, the quotient between consecutive terms is always the same, and it is called common ratio.

In this problem, the sequence is: {2, -4, -16, -36, ...}

[tex]-\frac{4}{2} = -2[/tex]

[tex]\frac{-16}{-4} = 4[/tex]

Different quotients, hence not geometric, and option D is correct.

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The answer is true. This was just on my quiz and I know its correct.

The correct answer is

D) The function has one imaginary zero and two real zeros.

x = 3, 4i, -4i

Answer: m∠ABC=136°

Step-by-step explanation:

In the given figure we have a coat hanger is in the shape of isosceles triangle ABC.

Sides AB and BC are congruent.

The isosceles theorem says that the angles opposite to the equal sides of a triangle are equal.

Therefore, in ΔABC, we have

m∠BAC=m∠BCA

If m∠BAC=22°, then m∠BCA= 22°

By angle sum property , we have

m∠BAC+m∠BCA+m∠ABC=180°

⇒22°+22°+m∠ABC=180°

⇒m∠ABC+44°=180°

⇒m∠ABC=180°-44°=136°

⇒m∠ABC=136°

Therefore, If m∠BAC=22°, then m∠ABC=136°

The number of minutes taken to fill the pool in three-fourths full is 225.

Given that,

Based on the above information, the calculation is as follows:

[tex]= (12000 \times \frac{3}{4}) \div 40[/tex]

= 225 minutes

Therefore we can conclude that the number of minutes taken to fill the pool in three-fourths full is 225.

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Answer:

30 & 60

Step-by-step explanation:

The tutor is correct, besides the fact that the interior angles would equal 180, not 190. Typos happen.

5/2 ^2 =  6 1/4 = 6.25

3/4^3 =  27/64 = 0.4201875

6 1/4 + 27/64 = 6 43/64  (mixed number)

6.25 +0.421875 = 6.671875 (decimal)

 not sure what format you need, since the question was in fraction form, I think you need to answer using a mixed number though.

To write intervals where f(x) is greater than or equal to 0, solve the equation f(x) >= 0 for x. The solutions are then expressed in interval notation. For instance, x >= 3 is written as [3, infinity).

To write the interval for which f(x) is greater than or equal to 0 in interval notation, you first need to establish where the function is above or touching the x-axis. With algebraic functions, you simply solve the equation f(x) >= 0 for x to find where the function is non-negative. You then write these solutions in interval notation. For example, if your solution was x >= 3, you would write this in interval notation as [3, infinity). Also, keep in mind that round brackets ( ) are used when the number is not included in the interval while square brackets [ ] are used when the number is included.

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Answer:

the common difference of the sequence (d) = -3

Step-by-step explanation:

Given sequence is 1st term, 2nd term, 3rd term

= 5, 2, -1

It is an arithmetic sequence.

The common difference (d) = second term - first term

d = 2 - 5

d = -3

Therefore, the common difference of the sequence (d) = -3

Hope this will helpful.

Thank you.

The percent error of the given problem is 1% inaccuracy.

Suppose the actual value and the estimated values after the measurement are obtained. Then we have:

Error = Actual value - Estimated value

We have been given that accepted value of a length measurement is 200 cm and the experimental value is 198 cm.

Actual value = 200

Estimated value = 198

The percent accuracy,

198/200 x 100%  

= 99%

Therefore,

Error = Actual value - Estimated value

Percent Inaccuracy: 100 - 99%

= 1% inaccuracy

Hence, the percent error of the given problem is 1% inaccuracy.

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Answer:

5 2/3

Step-by-step explanation:i thought this problem was literally impossible to do and its stopped me from progressing but i finally found out the answer and here it is

The two angles are 18 degrees and 72 degrees. The smaller angle is one-fourth of the larger, and they add up to 90 degrees because they are complementary.

In mathematics, complementary angles are two angles whose measures add up to 90 degrees. Based on the question, let's denote the smaller angle as x and the larger angle (its complement) as y.

Given that x is 1/4 of y, we can write the equation x = y/4.

Also, since they're complementary, their measures add to 90 degrees, giving the equation x + y = 90.

From x = y/4, it can be inferred that y = 4x. Substituting y in the second equation we get x + 4x = 90, which simplifies to 5x = 90. Dividing both sides by 5, we have x = 18.

To find y, substitute x = 18 into the equation y = 4x, giving y = 4*18 = 72. Therefore, the measures of the two angles are 18 and 72 respectively.

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The values of the two integers are 7 and 2 respectively.

In this exercise, you're required to determine two integers from the given word problem.

Thus, we would write a mathematical (algebraic expression) for the sentence.

Translating the word problem into an algebraic expression, we have;

The sum of two integers is 9;

[tex]a + b =9[/tex]    ....equation 1.

The difference between the two integers is 5;

[tex]a - b = 5[/tex]    equation 2.

Solving the systems of linear equations by using the elimination method, we have:

[tex]2a = 14[/tex]

Dividing both sides by 2, we have:

[tex]a = \frac{14}{2}[/tex]

a = 7

To find the value of y:

[tex]a + b =9\\\\7 +b=9\\\\b =9-7[/tex]

b = 2  

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Answer:

Step-by-step explanation:

-5(x -6) = 10x . . . . . given

-5x +30 = 10x . . . . distributive property of multiplication over addition

30 = 15x . . . . . . . . addition property of equality (5x was added to both sides)

2 = x . . . . . . . . . . . division property of equality (both sides were divided by 15)

hope this helped

Answer:

B. the graph of g(x) is shifted 2 units right and 3 units up

Step-by-step explanation:

just got it right

We conclude that g(x) = f(x – 2) + 3 means the graph of g(x) is shifted 2 units right and 3 units down. Option D is the correct answer.

The given function is g(x) = f(x + 2) – 3.

A function is a relation for which each value from the set of the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.

To shift a function right:

Subtract inside the function's argument. For example, f(x)-b is basically f(x) shifted b units to the right.  

Subtracting inside the function's argument moves you to the right.

So, g(x) = f(x – 2) means f(x) is shifted two units to the right.

To move a function down:

Subtract outside the function. For example,  f(x)-b is basically f(x) moved down 3 units.

So, g(x) = f(x – 2) + 3 means, f(x) is moved 3 units down.

Therefore, we conclude that g(x) = f(x – 2) + 3 means the graph of g(x) is shifted 2 units right and 3 units down. So, option D is the correct answer.

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Answer:

A. The ball is at the same height as the building between 8 and 10 seconds after it is thrown.

C. The ball reaches its maximum height about 4 seconds after it is thrown

Step-by-step explanation:

edg.

Answer:

Option B is the correct answer.

Step-by-step explanation:

We have one side = 27.6 cm

Hypotenuse = 30 cm

Length of remaining side [tex]=\sqrt{30^2-27.6^2}=11.76cm[/tex]

Area of right angled triangle [tex]=\frac{1}{2}\times \texttt{Product of lengths of 2 sides other than hypotenuse}[/tex]

Area [tex]=\frac{1}{2}\times 27.6\times 11.76=161.7cm^2[/tex]

Option B is the correct answer.

The cost of the bench is $ 375

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the cost of the bench be = B

Now , the equation will be

Let the cost of the table be = T

Now , the total cost of the table and bench = $ 799

Substituting the values in the equation , we get

B + T = 799   be equation (1)

And , garden table costs $49 more than the bench

So , T = 49 + B   be equation (2)

Substituting the value of T from equation (2) in equation (1) , we get

B + 49 + B = 799

2B + 49 = 799

Subtracting 49 on both sides of the equation , we get

2B = 750

Divide by 2 on both sides of the equation , we get

B = $ 375

Therefore , the value of B is $ 375

Hence , The cost of the bench is $ 375

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x = 6cm * sin(50) = 4.59

 rounded to 4.6

 Answer is C

Answer:

option C is correct    

The approximate value of x is, 4.6 cm(nearest to tenth)

Step-by-step explanation:

In the given figure; the triangle is right angle triangle:

Label the figure:

then, the triangle XYZ is right angle triangle.

Using trigonometric ratio:

The ratio of the opposite side of a right triangle to the hypotenuse is called  the sine. i.e,

[tex]Sine=\frac{opposite}{Hypotenuse}[/tex]

using sine ratio in triangle XYZ:

[tex]\sin 50^{\circ} = \frac{XY}{XZ}[/tex]

Substitute the value of XY = x cm and XZ = 6 cm in above ratio:

[tex]\sin 50^{\circ} = \frac{x}{6}[/tex] or

[tex]0.76604444247801 = \frac{x}{6}[/tex]

Simplify:

[tex]x= 4.59626665[/tex] cm

Therefore, the approximate value of x nearest to tenth is, 4.6 cm

The positive power of 10 shows that the number is greater than 1.

A given number, equation, or expression is written in a format known as a scientific notation, which adheres to a set of principles. Large numbers like 8.6 billion are difficult to write in their numerical form since they are not only unclear but also time-consuming, and there is a potential that we may write a few zeros more or less.

Given:

number that is greater than 1 in scientific notation.

So, to get know the number is greater than 1 we can tell it by seeing the power of 10.

If the powers of 10 is positive then the number is also greater than 10.

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Answer:

D. You can get the lowest price at Store C.

Step-by-step explanation:

Edge 2021