Which inequality is represented by the number line graph?
A) x > -6
B) x < -6
C) x ≥ -6
D) x ≤ -6

Answer: 32 Rose Arrangements & 8 Tulip Arrangements

Step-by-step explanation: The number of arrangements for each flower is unknown (n) but the total is known, 40 arrangements. There are 4 times as many rose arrangements than tulip meaning 4n rose + n tulip = 40, 4n + n = 40, 5n = 40, 40 ÷ 5 = n, n = 8. Roses = 4n = 4x8= 32. Tulips = n = 8.

Answer:

x = ± [tex]\sqrt{2}[/tex]

Step-by-step explanation:

given the 3 terms of a geometric sequence

[tex]\sqrt{x-1}[/tex], 1, [tex]\sqrt{x+1}[/tex], then the common ratio r

r = [tex]\frac{\sqrt{(x+1)} }{1}[/tex] = [tex]\frac{1}{\sqrt{(x-1)} }[/tex] ( cross- multiply )

[tex]\sqrt{(x+1)(x-1)}[/tex] = 1 ( square both sides )

(x + 1 )(x - 1 ) = 1 ← expand factors on left side )

x² - 1 = 1 ( add 1 to both sides )

x² = 2 ( take the square root of both sides )

x = ± [tex]\sqrt{2}[/tex]

The value of x is ±[tex]\sqrt{2}[/tex].

Given:

Geometric Sequence with first three terms.

[tex]\sqrt{x-1},1, \sqrt{x+1[/tex]

We have to find the value of x.

Now, if the given sequence is geometric then we can find the common ratio of the sequence.

The common ratio is given by:

r = [tex]\frac{1}{\sqrt{x-1} }[/tex] and r = [tex]\frac{\sqrt{x+1} }{1}[/tex]

Now, we can equate the both the values of r to solve for the value of x.

[tex]\frac{\sqrt{x+1} }{1} = \frac{1}{\sqrt{x-1} }[/tex]

Now, multiplying the numerator on both sides by [tex]\sqrt{x-1}[/tex], we get:

[tex]\sqrt{x+1} \sqrt{x-1} =1[/tex]

[tex]\sqrt{(x-1)(x+1)}=1[/tex]

[tex]\sqrt{x^2-1} =1[/tex]

Now, squaring on both sides of the equation, we get:

⇒ x² - 1 = 1

⇒ x² = 2

Now, taking square root on both the sides, we get:

⇒ x = ±[tex]\sqrt{2}[/tex]

Therefore, for a given geometric sequence the value of x will be ±[tex]\sqrt{2}[/tex].

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Step-by-step explanation:

This ≤ inequality sign means:

-5 ≤ 4

And then:

-3x ≤ 2

OR:

-5 ≤ 4 -3x ≤ 2

Hi!!! Sorry, I didn't know if they were suppose to be together or separate, so I just did it both ways!!! :) Really sorry if I am wrong...

Answer:

Alright well solve for d by cross multiplying

Exact form: d = 115/8

Decimal form: d = 14.375 Hope this helps have a nice day : )

Step-by-step explanation:

A secant is a line that intersects a circle at two points.

Therefore your answer is

[tex]\boxed{D.\ \overline{AD}}[/tex]

OB - radius

DE - tangent

FC - chord

AB - some segment

Answer:

Multiply 60 by .40

60 * .40 = 24

Answer is B

Step-by-step explanation:

Answer:

{0, -1, 11, 13 }

Step-by-step explanation:

the range of the function are the corresponding values of y from the set of points, in ascending order, that is

{0, -1, 11, 13 }

Answer:

Step-by-step explanation:

The range is the set of y values of the function.

{0, -1, 11, 13]

Answer:

I believe the answer is 20.

Step-by-step explanation:

Answer:

Answer is to increase trials

Step-by-step explanation:

Theoretical Probability is what it is expected to happen whereas Experimental Probability is what actually happens.

What Jamie should take into serious consideration is that Experimental probability gets gradually closer to theoretical probability as the number of trials increases.

In other words, Jamie needs to increase the number of trials in order to match experimental and theoretical probabilities every time more and more.

Answer: letter A

to increase the number of trials

Step-by-step explanation:

The formula of a surface area of a cone:

[tex]SA=pi rl+\pi r^2[/tex]

r - radius

l - slant height

We have the diameter d = 6 in and a slant height l = 8 in.

[tex]d=2r\to r=6in:2=3in[/tex]

Substitute:

[tex]SA=\pi(3)(8)+\pi(3^2)=24\pi+9\pi=\boxed{33\pi\ in^2}[/tex]

The standard form:

[tex]Ax+By=C[/tex]

[tex]4x-y-7=0\qquad\text{add 7 to both sides}\\\\\boxed{4x-y=7}[/tex]

[tex]3x+9=\dfrac{7}{2}y\qquad\text{multiply both sides by 2}\\\\6x+18=7y\qquad\text{subtract 18 and 7y from both sides}\\\\\boxed{6x-7y=-18}[/tex]

[tex]y=-4x+12\qquad\text{add 4x to both sides}\\\\\boxed{4x+y=12}[/tex]

[tex]y=-\dfrac{3}{4}x+\dfrac{5}{4}\qquad\text{multiply both sides by 4}\\\\4y=-3x+5\qquad\text{add 3x to both sides}\\\\\boxed{3x+4y=5}[/tex]

Answer:

Step-by-step explanation:

What are the triangles? Did you forget to attach a picture?

Answer: $ 753.34

Step-by-step explanation:

Since, here She earns $12 an hour and works 40 hours each week.

Therefore, her earning in two weeks = 2 × 12 × 40 = $ 960

Now, Her biweekly deductions are Social Security 6.2%. Medicare 1.45%, federal with out holding tax $73.25, state withholding tax $22.50, and health insurance $37.47.

Therefore, Her total deduction = (6.2+1.45)% of 960 + (73.25+22.50+37.47)= 73.44+133.22= 206.66

Since, Net pay is the amount of payee after deductions have been taken from the his gross pay.

Therefore, Net pay = total amount - total deduction = 960 - 206.66  = $ 753.34

Her net pay if she is paid biweekly is  $ 753.34.

we have given that,

She earns $12 an hour and works 40 hours each week.

Therefore, her earning in two weeks,

= 2 × 12 × 40

= $ 960

Her biweekly deductions are Social Security 6.2%. Medicare 1.45%, federal with out holding tax $73.25, state withholding tax $22.50, and health insurance $37.47.

Therefore,

[tex]Her total deduction = (6.2+1.45)% of 960 + (73.25+22.50+37.47)\\\\\\\\Her total deduction= 73.44+133.22\\ \Her total deduction= 206.66[/tex]

Net pay is the amount of payee after deductions have been taken from the his gross pay.

Net pay = total amount - total deduction

Therefore by using formula,

Net pay= 960 - 206.66

Net pay = $ 753.34

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Answer: 137 + 4(n-1)

Step-by-step explanation:

137 + 4(n-1)

Okay, let's test this starting with week 1:

137 + 4(1-1)

137 + 4*0

137, which is correct because she starts with 137.

Week 2:

137 + 4 (2-1)

137 + 4 * 1

137 + 4

141

Alright, let's see if it is correct if we do week 5:

137 + 4 (5-1)

137 + 4(4)

137 + 16

153

To know that 153 is right we could do 137 + 4 + 4 + 4 + 4, which equals 153.

Answer: p(x) = 8.7x - 1940

              p(500) = $2410

              p(1000) = $6760

              p(5000) = $41,560

Step-by-step explanation:

p(x) = r(x) - c(x)

      = 9.5x - (0.8x + 1940)

      = 9.5x - 0.8x - 1940

      = 8.7x - 1940

**********************************************************************

p(500) = 8.7(500) - 1940

           = 4350 - 1940

           = 2410

p(1000) = 8.7(1000) - 1940

             = 8700 - 1940

             = 6760

p(5000) = 8.7(5000) - 1940

              = 43,500 - 1940

              = 41,560

***************************************************************************

p(500) =    r(500)    -    c(500)

           = 9.5(500)  -  [0.8(500) + 1940]

           =    4750     - (400 + 1940)

           =     4750    -      2340

           =              2410

p(1000) =   r(1000)    -    c(1000)

            = 9.5(1000)  -  [0.8(1000) + 1940]

            =     9500     - (800 + 1940)

            =     9500     -      2740

            =              6760

p(5000) =    r(5000)    -    c(5000)

           = 9.5(5000)  -  [0.8(5000) + 1940]

           =    47500     - (4000 + 1940)

           =    47500     -      5940

           =              41,560

Answer:

1.524

Step-by-step explanation:

Answer:

1.52 meters

Step-by-step explanation:

Answer:

4.4 yd

Step-by-step explanation:

Scale = 50 yd:34 in

Distance from home = 3 × 50/34

Distance from home = 4.4 yd

Answer:21.9

Step-by-step explanation:i just finished this question on a test and got it right hope this helps

If all angles have the same measure, then this is an equilateral triangle.

Therefore we have the equation:

4x - 30 = 3x - 5    add 30 to both sides

4x = 3x + 25     subtract 3x from both sides

x = 25

Check:

|AB| = 3x - 5 → |AB| = 3(25) - 5 = 75 - 5 = 70

|BC| = 2x + 20 → |BC| = 2(25) + 20 = 50 + 20 = 70

|AC| = 4x - 30 → |AC| = 4(25) - 30 = 100 - 30 = 70

CORRECT :)

Answer:

GRAPH D

Step-by-step explanation:

BECASUE IT IS THE WRIGHT ANSWER

[tex]\begin{array}{ccc}20.8&-&32\%\\x&-&100\%\end{array}\qquad\text{cross multiply}\\\\32x=(20.8)(100)\\\\32x=2080\qquad\text{divide both sides by 32}\\\\\boxed{x=65}[/tex]

The number that 20.8 is 32% of is 65, achieved by setting up an equation representing 32% of a number equal to 20.8 and solving for that number.

The question is asking you to find a number such that 32% of it equals 20.8. You represent this situation mathematically as '32/100 * X = 20.8', where 'X' is the number we need to find. Solving for 'X' gives us 'X = 20.8 ÷ (32/100)'. Performing this operation gives us 'X = 65'.

So, 20.8 is 32% of 65, which is the solution to the problem. The primary focus here is understanding percentages and how to solve these types of questions.

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The first table represents an exponential relationship.

Rule: [tex]\(y = 5 \times 1.5^x\)[/tex]

The second table represents a linear relationship.

Rule: [tex]\(y = 6x - 6\)[/tex]

The first table represents an exponential relationship.

Rule: The rule for the first table can be expressed as [tex]\(y = 5 \times 1.5^x\)[/tex]. Each (y) value is obtained by multiplying the previous (y) value by 1.5.

The second table represents a linear relationship.

Rule: The rule for the second table can be expressed as [tex]\(y = 6x - 6\)[/tex]. Each (y) value is obtained by multiplying the corresponding (x) value by 6 and then subtracting 6.

Answer:

Step-by-step explanation:

I hope it will help you

Attachment

Answer:

The standard deviation of the numbers is 16.154.

Step-by-step explanation:

The given observations are

77,45,72,56,98,60,70,89,50,80,95,70,34,77,65,70,70,82,86,86

Average or mean of the data is

[tex]\bar{X}=\frac{\text{Sum of observations}}{\text{Total number of observations}}[/tex]

[tex]\bar{X}=\frac{1432}{20}=71.6[/tex]

The Standard deviation of the data is

[tex]\sigma=\sqrt{\frac{\sum (X-\bar{X})^2}{n}}[/tex]

[tex]\sigma=\sqrt{\frac{5218.8}{20}}[/tex]

[tex]\sigma=\sqrt{260.94}[/tex]

[tex]\sigma=\sqrt{16.154}[/tex]

Therefore standard deviation of the numbers is 16.154.

Answer:

a = (-7)/32  or a= 0.21875

Step-by-step explanation:

Solve for a:

-4 a - 4 = (4 a)/7 - 3

Put each term in (4 a)/7 - 3 over the common denominator 7: (4 a)/7 - 3 = (4 a)/7 - 21/7:

-4 a - 4 = (4 a)/7 - 21/7

(4 a)/7 - 21/7 = (4 a - 21)/7:

-4 a - 4 = (4 a - 21)/7

Multiply both sides by 7:

7 (-4 a - 4) = (7 (4 a - 21))/7

(7 (4 a - 21))/7 = 7/7×(4 a - 21) = 4 a - 21:

7 (-4 a - 4) = 4 a - 21

Expand out terms of the left hand side:

-28 a - 28 = 4 a - 21

Subtract 4 a from both sides:

(-28 a - 4 a) - 28 = (4 a - 4 a) - 21

-28 a - 4 a = -32 a:

-32 a - 28 = (4 a - 4 a) - 21

4 a - 4 a = 0:

-32 a - 28 = -21

Add 28 to both sides:

(28 - 28) - 32 a = 28 - 21

28 - 28 = 0:

-32 a = 28 - 21

28 - 21 = 7:

-32 a = 7

Divide both sides of -32 a = 7 by -32:

(-32 a)/(-32) = 7/(-32)

(-32)/(-32) = 1:

a = 7/(-32)

Multiply numerator and denominator of 7/(-32) by -1:

Answer:  a = (-7)/32

The solution to the equation is [tex]\(a = -\frac{25}{32}\)[/tex].

To solve the equation [tex]\(\frac{-4}{1}a - 4 = \frac{4}{7}a - 3\) for \(a\)[/tex], follow these steps:

1. Simplify the equation by multiplying both sides by their respective denominators to eliminate the fractions:

[tex]\[ 7(-4a - 4) = 1(4a - 3) \][/tex]

2. Distribute the numbers outside the parentheses:

[tex]\[ -28a - 28 = 4a - 3 \][/tex]

3. Move all terms containing a to one side of the equation and constants to the other side:

[tex]\[ -28a - 4a = -3 + 28 \][/tex]

4. Combine like terms:

[tex]\[ -32a = 25 \][/tex]

5. Solve for a by dividing both sides by -32:

[tex]\[ a = \frac{25}{-32} \][/tex]

Therefore, the solution to the equation is [tex]\(a = -\frac{25}{32}\)[/tex].

Answer: The right answer is this:

Katelyn did make an error. She also needs to multiply 4 by −2.

4−8−3=7

Step-by-step explanation:

Answer:

Katelyn did make an error. She also needs to multiply 4 by −2.

4x−8−3=7x

Step-by-step explanation:

Answer:

the answer is 1/4 because 7/12 is larger than 1/2 but 1/4 is 2x smaller  

Step-by-step explanation:

Answer:

A is the correct equation

Step-by-step explanation: