Remove the radical from the denominator below. Do not simplify the answer

Answer:

n > 2

Step-by-step explanation:

-10 − -3n > -4

-10 + 3n > -4

3n > 6

n > 2

Check our answer: if n = 3:

-10 − -3(3)

-10 − -9

-10 + 9

-1

-1 > -4

-10 - (-3n) > -4 ---> -10 + 3n > -4

^^^^ -3n became positive because a negative times a negative gives a positive

Step 1: Combine like terms

normal numbers go with normal numbers. This would be -10 and -4. To get -10 to the right side of the inequality you must add 10 to both sides

(-10 + 10) + 3n > (-4 + 10)

(0) + 3n > 6

3n > 6

Step 2: Isolate n by dividing 3 to both sides of the inequality

[tex]\frac{3n}{3} > \frac{6}{3}[/tex]

n > 2

Hope this helped!

Answer:

-2040

Step-by-step explanation:

[tex]S_n=a_1\dfrac{r^n-1}{r-1} \qquad\text{for first term $a_1$ and common ratio r}\\\\S_8=-8\dfrac{2^8-1}{2-1}=-2040[/tex]

The sum of the first 8 terms is -2040.

Answer:

I did this test. The answer to this question is c.multiply each side by 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\bold{METHOD\ 1}\\(y-3)^2=4y-12\\\\(y-3)^2=4(y-3)\\\\(y-3)(y-3)=4(y-3)\iff y-3=0\ \vee\ y-3=4\\\\y-3=0\qquad\text{add 3 to both sides}\\\boxed{y=3}\\\\y-3=4\qquad\text{add 3 to both sides}\\\boxed{y=7}[/tex]

[tex]\bold{METHOD\ 2}\\\\(y-3)^2=4y-12\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\y^2-2(y)(3)+3^2=4y-12\\\\y^2-6y+9=4y-12\qquad\text{subtract}\ 4y\ \text{from both sides}\\\\y^2-10y+9=-12\qquad\text{add 12 to both sides}\\\\y^2-10y+21=0\\\\y^2-3y-7y+21=0\\\\y(y-3)-7(y-3)=0\\\\(y-3)(y-7)=0\iff y-3=0\ \vee\ y-7=0\\\\y-3=0\qquad\text{add 3 to both sides}\\\boxed{y=3}\\\\y-7=0\qquad\text{add 7 to both sides}\\\boxed{y=7}[/tex]

Answer:

(5,-6)

Step-by-step explanation:

When you write the equation of a circle in the form

[tex](x-x_0)^2+(y-y_0)^2=r^2[/tex]

Then the center of the circle will be [tex](x_0,y_0)[/tex] and the radius will be [tex]r[/tex].

Answer:  The center of the given circle is (5, -6).

Step-by-step explanation:  We are given to find the center of the circle represented by the following equation :

[tex](x-5)^2+(y+6)^2-4^2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We know that

the STANDARD equation of a circle with center (h, k) and radius r units is given by

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

From equation (i), we have

[tex](x-5)^2+(y+6)^2=4^2\\\\\Rightarrow (x-5)^2+(y-(-6))^2=4^2.[/tex]

Comparing with the standard form, we get that the center of the given circle is (h, k) = (5, -6).

Thus, the center of the given circle is (5, -6).

Answer: $1,950 explanation: 1500 x 0.05 =75 75 x 6 years = 450. 1500+450=1950

assuming simple interest.

[tex]\bf ~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$1500\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\dotfill &6 \end{cases} \\\\\\ A=1500[1+(0.05)(6)]\implies A=1500(1.3)\implies A=1950[/tex]

If you mean -10.0 - (-2.3) then the answer is -7.7

Final answer:

To subtract -10.0 - (-2.3), you change the subtraction of the negative number to addition and calculate -10.0 + 2.3, resulting in -7.7.

Explanation:

Subtracting a negative number from another negative number is equivalent to adding the absolute value of the number being subtracted. To solve the given problem, we can visualize it as negative 10.0 plus 2.3.

The subtraction of two negative numbers can be transformed into an addition problem by remembering that subtracting a negative is the same as adding a positive. Here is how you would calculate it step-by-step:

Start with the first number: -10.0.

Change the subtraction to addition because subtracting a negative is like adding a positive.

Add the absolute value of the second number: +2.3.

Combine both numbers: -10.0 + 2.3 = -7.7.

So, negative 10.0 minus (negative 2.3) equals -7.7.

Answer:

No, The answer should be 240

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

Answer b:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Euler's formula is

V - E + F = 2

Givens

V = 15

E = 15

F = ?

Solution

15 - 15 + F = 2

F = 2

I'm not sure this makes sense, but it is what the formula gives you.

The student can calculate the number of edges in a polyhedron by using Euler's formula for polyhedra. Given the number of faces and vertices, both being 15, we solve for edges and find that the polyhedron would have 28 edges.

The student wants to calculate the missing number of edges in a geometrical shape given the number of faces and vertices. This can be solved in mathematics using Euler's formula for polyhedra which is Faces + Vertices - Edges = 2. In the current situation, where the shape has 15 faces and 15 vertices, you can solve for edges. Inserting these values into Euler's equation yields: 15 (faces) + 15 (vertices) - Edges = 2. As a result, Edges = 15 + 15 - 2 = 28 edges.

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Here the answer is in this picture

Answer:

1. Ratio is 1 : 3

Step-by-step explanation:

1. The average salary for a professional baseball player in the United States can be approximated by = [tex]283(1.2)^{t}[/tex]

Where t = 0 represents the year 1984.

Salary in year 1988 = [tex]283(1.2)^{4}[/tex]  [t = 4 years]

Salary in year 1994 = [tex]283(1.2)^{10}[/tex] [t = 10 years]

Ratio of the average salary in 1988 to the average salary in 1994 = [tex]\frac{283(1.2)^{4}}{283(1.2)^{10}}=\frac{(1.2)^{4}}{(1.2)^{10}}[/tex]

= [tex]\frac{1}{(1.2)^{10-4}}=\frac{1}{(1.2)^{6}}[/tex]

= [tex]\frac{1}{3}[/tex]

2. Corrected form

[tex]\frac{x^{-9} }{x^{-3}}[/tex]

= [tex]x^{-9+3}[/tex][since [tex]\frac{a^{1}}{a^{1}}=a^{1-1}=a^{0}=1[/tex]]

= [tex]x^{-6}[/tex]

= [tex]\frac{1}{x^{6}}[/tex]  [ since [tex]\frac{1}{a^{1}}=a^{-1}[/tex] ]

Now we can compare the corrections and errors in the highlighted form.

Expression needs correction

[tex]\frac{x^{-9} }{x^{-3}}[/tex]

= [tex]x^{-9-3}[/tex]

=  [tex]x^{-12}[/tex]

= [tex]\frac{1}{x^{-12}}[/tex]

Answer:

True for all b

Interval notation; (-∞, ∞)

Step-by-step explanation:

We have been given the following inequality;

26+6b>2(3b+4)

The first step is to open the brackets on the right hand side;

26+6b>6b+8

26-8>6b-6b

18>0

Since 18 is actually greater than 0, the solution set to the inequality is;

True for all b.

Answer:

x-1

Step-by-step explanation:

(3)(2)+5x-(5)(2)-4x+5-2

=6+5x-10-4x+5-2

=x-1

Answer:

-2x2+x+3

Step-by-step explanation:

you have to combine like terms

-5x2+ 3x2= -2x2

5x-(-4x)= x

5-2=3

-2x2+x+3

[(-10+2)-1]+(2+3)​ is equal to -4.

An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division, etc.) You can think of expressions as being comparable to phrases. A phrase in language may contain an action on its own, but it does not constitute a whole sentence.

Given

[(-10+2)-1]+(2+3)

Using BODMAS

= [-8 - 1] + 5

= -9 + 5

=-4

Therefore, [(-10+2)-1]+(2+3)​ is equal to -4.

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Final answer:

The value of the expression [(-10+2)-1]+(2+3) is found by following the order of operations; handle the parentheses first, then sum the results, which leads to a final answer of -4.

Explanation:

Step-by-Step Solution to the Expression

To find the value of the expression [(-10+2)-1]+(2+3), you follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

First, solve inside the parentheses: (-10+2) gives you -8.

Next, (-8-1) simplifies to -9, so now you have [-9].

Then, you solve the addition within the other set of parentheses: (2+3) which equals 5.

Finally, you add the results of the two sets of parentheses: -9 + 5.

Following addition rules for numbers with opposite signs, you subtract the smaller number from the larger one and keep the sign of the larger number, which in this case is negative. Thus, -9 + 5 equals -4.

Therefore, the value of the expression is -4.

on the twelfth day because 3-6-9-12 and 12

Billy will have both swimming and piano lessons on the same day every 12th day.

To determine when Billy will have both swimming and piano lessons on the same day, we need to find the least common multiple (LCM) of the two schedules. Billy has swimming lessons every 3rd day and piano lessons every 12th day.

The LCM of 3 and 12 is the smallest number that both 3 and 12 can divide into without leaving a remainder. The prime factorization of 12 is [tex](2^2 \times 3\))[/tex], and the prime factorization of 3 is simply 3 . To find the LCM, we take the highest powers of all prime factors that appear in the factorization of both numbers:

For 3: [tex]\(3^1\)[/tex]

For 12: [tex]\(2^2 \times 3^1\)[/tex]

The LCM is [tex]\(2^2 \times 3^1 = 4 \times 3 = 12\)[/tex].

Since the LCM of 3 and 12 is 12, Billy will have both lessons on the same day every 12th day. This is because every 12th day is a day when both his 3-day swimming lesson cycle and his 12-day piano lesson cycle align.

Answer:

The baton will not fit in the rectangular box

Step-by-step explanation:

step 1

Find the diagonal of the base of the  rectangular base and then compare with the length of the baton

Applying the Pythagoras Theorem

Let

x ----> the length of the diagonal base of rectangular box

we know that

[tex]x^{2}=13^{2}+35^{2} \\ \\x^{2} =1,394\\ \\x= 37.3\ in[/tex]

[tex]38\ in > 37.3\ in[/tex]

therefore

The baton will not fit in the rectangular box

Answer:

B. the 15,559 residents

Step-by-step explanation:

I just took the final exam

Answer:

the answer is c

Step-by-step explanation:

Answer:

Between A and B : Decreasing

Between B and C : Increasing

Between C and D : Decreasing

Between D and E : Constant

Step-by-step explanation:

If graph goes downward between two points then it indicates function is decreasing.

If graph goes upward between two points then it indicates function is increasing.

If graph goes parallel to the x-axis between two points then it indicates function is constant.

Then final answer is given by:

Between A and B : Decreasing

Between B and C : Increasing

Between C and D : Decreasing

Between D and E : Constant

Answer:

X=57/37 , X=1.540

2[-2 + 3x]\3 + 2x² is the simplification.

Answer:

[tex]LW=17.5\ units[/tex]

Step-by-step explanation:

we know that

In the right triangle LAY

Find the measure of side LY applying the Pythagoras Theorem

[tex]LY^{2} =3.5^{2}+ 7.0^{2} \\ \\ LY^{2} =61.25\\ \\ LY=\sqrt{61.25}\ units[/tex]

Find the cosine of angle ALY

[tex]cos(<ALY)=\frac{LA}{LY}[/tex]

[tex]cos(<ALY)=\frac{3.5}{\sqrt{61.25}}[/tex] -----> equation A

In the right triangle LWY

[tex]cos(<ALY)=\frac{LY}{LW}[/tex]

[tex]cos(<ALY)=\frac{\sqrt{61.25}}{LW}[/tex] -----> equation B

equate equation A and equation B and solve for LW

[tex]\frac{3.5}{\sqrt{61.25}}=\frac{\sqrt{61.25}}{LW}[/tex]

[tex]LW=(\sqrt{61.25})(\sqrt{61.25})/3.5[/tex]

[tex]LW=17.5\ units[/tex]

Answer:

There

Step-by-step explanation:

Answer:

The angles are 65° and 115°

Step-by-step explanation:

Let

x,y ----> the two side interior angles of two parallel lines

we know that

x+y=180° ----> equation A

x-y=50° ----> equation B

Adds equation A and equation B

x+x=180°-50°

2x=130°

x=65°

Find the value of y

x+y=180° -----> 65°+y=180° ----> y=180°-65°=115°

therefore

The angles are 65° and 115°

ANSWER

[tex]x = 11[/tex]

EXPLANATION

According to the exterior angle theorem, the sum of remote interior angles equal an exterior angle.

This implies that,

[tex](7x + 7) \degree + 66 \degree =(1 2x + 18) \degree[/tex]

We group the similar terms to get:

[tex]7 + 66 - 18 = 12x - 7x[/tex]

[tex]55= 5x[/tex]

Divide both sides by 5.

[tex]x = \frac{55}{5} [/tex]

[tex]x = 11[/tex]

Answer:

No answer

Step-by-step explanation:

I don't think this equation has an answer.

Normally, you'd try to combine like terms

3 3/4 = 2 + 3/4

3 3/4 = 2 3/4

3 and 3/4 is not equal to 2 and 3/4.

So, I believe this equation has no answer

Answer:

Step-by-step explanation:

f(x) + n - translation n units up

f(x) - n - translation n units down

f(x + n) - translation n units to the left

f(x - n) - translation n units to the right

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

g(x) = 21

translation 7 units down: g(x) - 7 = 21 - 7 = 14

Moving a graph or function vertically down is as simple as subtracting the number of units you wish to move from the original function. The function g(x) = 21 moved 7 units down resulting in h(x) = 14.

A vertical translation in a graph is a shift in the graph either up or down along the y-axis. In the case of the function g(x) = 21, which is a horizontal line at y = 21, a vertical translation 7 units down would yield the new function h(x) = 21 - 7 = 14. Therefore, the equation that represents this translation is h(x) = 14.

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we'd do the same as before on this one as well.

if we take 27.99 to be the 100%, what is 12 off of it in percentage?

[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 27.99&100\\ 12&x \end{array}\implies \cfrac{27.99}{12}=\cfrac{100}{x}\implies 27.99x=1200 \\\\\\ x=\cfrac{1200}{27.99}\implies x\approx 42.87[/tex]

The discount rate can be determined by dividing the discount by the retail price, then multiplying by 100 to get the percentage. In this instance, the discount rate calculates to be approximately 42.87%.

To find the discount rate, you must first understand that it is the difference between the retail price and the sale price, divided by the retail price, and then multiplied by 100 to turn it into a percentage.

In this case, let's use the numbers from the problem. The retail price is $27.99 and the discount is $12, leaving a sale price of $15.99. We already know the discount is $12, so to find the rate we divide $12 (the discount) by $27.99 (the original price), and then multiply by 100.

Doing the calculation, ($12/$27.99) * 100 = approx. 42.87%. So the discount rate is approximately 42.87%.

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