2.5(10x - 16) = 5 What decimal represents the solution to the equation?

Answer:

Step-by-step explanation:

The following equation y=f(x+3) can be seen graphed in the image attached to this answer. The point P(-6,-2) shows up if we input -6 as the variable x which will output -2 as the value for y. This can be seen in the graph below.

y=f(x+3)

y= -6 + 3

y = -2

Answer:

To convert euros to pounds, we have to multiply the amount in euros by the exchange rate. So, the sunglasses cost 90 * 0.875 = 78.75 pounds.

To use a suitable approximation, we can round the exchange rate to the nearest hundredth, which is 0.88. This makes the calculation easier and gives a close estimate of the actual value.

Using the rounded exchange rate, the sunglasses cost 90 * 0.88 = 79.2 pounds.

We can see that both the exact and the approximate values are greater than 70 pounds, so Elyas is wrong. The sunglasses cost more than 70 pounds

Step-by-step explanation:

Answer:

87

Step-by-step explanation:

87

Answer:

Step-by-step explanation:

\(\lim_{8x \to \infty} 9_y=10\)

According to the above, Mary would pay R510 if she pays for the 3m of irrigation tube in cash.

To identify how much Mary would pay for the irrigation tube, we must carry out the following mathematical procedure:

We must find the cost of the 3 meters that Mary wants to buy.

Now we must calculate how much the discount on the value of the tubes is equivalent to:

So the discount equals R90. Therefore, we must subtract this value from the total value that the tubes would be worth.

So the total value would be 510

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answers:

medium-41.4,48.6

large-55,59.4

extra large-62,57.04

yes it is possible for an egg to be large and extra large, reason: the lightest possible egg for the extra large is 57.04 and the heaviest possible egg for the large is 59.4. Therefore, an egg between the range(57.04_59.4) is both large and extra large

The missing values for Medium egg are 41.4g, 48.6g

for large eggs are 55g, 59.4g,

and extra large eggs are 62g, 57.04g.

A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".

Given table for size and weight of eggs and  the weight of each egg can vary up to 8%.

for Medium eggs Advertised weight = 45 g

lightest weight = 45 - 8% of Advertised weight

because Advertised weight is average of lightest weight and heaviest egg weight,

lightest weight = 45 - 45(0.08)

lightest weight = 41.4 g

heaviest egg weight = 45 + 8% of Advertised weight

lightest weight = 45 + 45(0.08)

lightest weight = 48.6 g

missing values for medium egg = 41.4g and 48.6g

For Large egg

lightest weight = 50.6

Advertised weight = 50.6 + 8% of lightest weight

Advertised weight = 50.6 + 50.6(0.08)

Advertised weight = 54.9 = 55g

heaviest egg weight =  55 + 8% of Advertised weight

heaviest egg weight =  55 +55(0.08)

heaviest egg weight = 59.4g

missing values for large egg =  55g and 59.4g

For Extra large egg

heaviest egg weight = 66.96 g

Advertised weight = 66.96 - 8% of heaviest egg weight

Advertised weight = 66.96 - 66.96(0.08)

Advertised weight = 61.6 = 62 g

lightest weight = 62 - 8% of Advertised weight

lightest weight = 62 - 62(0.08)

lightest weight = 57.04 g

missing values for extra large egg is 62g and 57.04 g

Yes, an egg can be large or extra large for the following reasons: The largest egg is 59.4 pounds, while the lightest egg for an extra large is 57.04 pounds. As a result, an egg between 57.04 and 59.4 is both large and extremely large.

Hence the missing values are,

Medium egg are 41.4g, 48.6g

for large eggs are 55g, 59.4g,

and extra large eggs are 62g, 57.04g.

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The probability of getting at least 5 calls between eight and nine in the morning is 0.8009.

The probability of getting at least 5 calls between eight and nine in the morning will be:

= 1 - [P(x = 0) + P(x = 1)]

= 1 - (e^-3(1 + 3]

= 1 - 0.19915

= 0.8009

Therefore, the probability of getting at least 5 calls between eight and nine in the morning is 0.8009.

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Answer:

\(y=-\frac{4}{5}x-\frac{21}{5}\)

Step-by-step explanation:

The fastest way is to use point-slope form with \(m=-\frac{4}{5}\) and \((x_1,y_1)=(-4,-1)\):

\(y-y_1=m(x-x_1)\\y-(-1)=-\frac{4}{5}(x-(-4))\\y+1=-\frac{4}{5}(x+4)\\y+1=-\frac{4}{5}x-\frac{16}{5}\\y=-\frac{4}{5}x-\frac{21}{5}\)

To graph the line passing through (-4,-1) with slope m = -4/5, we can use the slope-intercept form of the equation of a line, which is:

y = mx + b

where m is the slope and b is the y-intercept.

Substituting m = -4/5, x = -4, and y = -1, we can solve for b:

-1 = (-4/5)(-4) + b

-1 = 3.2 + b

b = -4.2

Therefore, the equation of the line is:

y = (-4/5)x - 4.2

To graph the line, we can plot the given point (-4,-1) and then use the slope to find additional points. Since the slope is negative, the line will slope downwards from left to right. We can find the y-intercept by setting x = 0 in the equation:

y = (-4/5)x - 4.2

y = (-4/5)(0) - 4.2

y = -4.2

So the y-intercept is (0,-4.2).

Using this point and the given point (-4,-1), we can draw a straight line passing through both points.

Here is a rough sketch of the graph:

     |

     |

     |     *

     |    /

     |   /

     |  /

-----*--------

     |

     |

     |

     |

     |

The point (-4,-1) is marked with an asterisk (*), and the y-intercept (0,-4.2) is marked with a dash. The line passing through these two points is the graph of the equation y = (-4/5)x - 4.2.

Solution

Step 1

A Stem and Leaf Plot is a special table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit).

Step 2:

A stem and leaf plot is a table used to display data. The 'stem' is shown on the left side of the table and shows the first digit or digits of data values. The 'leaf' is shown on the right side of the table and shows the last digit of the data value.

Step 3:

Plot the stem and leaf plot

2)

12 data

3)

From the stem and leaf diagram:

Least value = 32

Greatest value = 60

Answer:

D is the equation of the circle

Answer:

4005

Step-by-step explanation:

3,998 - (-7) = ?

Two negative signs will make a positive sign.

3,998 - (-7) = 3998 + 7 = 4005

So, the answer is 4005

Answer:

The correct solution is "0.0226".

Step-by-step explanation:

The given question seems to be incomplete. Please find below the attachment of the complete query.

According to the question,

Mean

= 29

Standard deviation (s),

= 8

For sample size pf 92,

The standard error will be:

\(SE=\frac{s}{\sqrt{N} }\)

     \(=\frac{8}{\sqrt{92} }\)

     \(=0.834\)

now,

⇒ \(1-P(\frac{-1.9}{0.834} < z < \frac{1.9}{0.834} )\) = \(1-P(-2.28<z<2.28)\)

or,

                                          = \(1-(2\times P(z<2.28)-1)\)

                                          = \(2-2\times P(z<2.28)\)

With the help of table, the normal distribution will be:

=  \(2-2\times 0.9887\)

= \(0.0226\)

Answer:

Step-by-step explanation:

it would be "c" because the question asks for the number that makes the inequality true

4x≤ x+3

the graph in c is saying that every number that is 1 or less than 1 makes the inequality true. so lets take -7 as an example

4 x -7=-28

-28+3=-25

-25 is greater than -28 so the inequality is true. the reason why graph d doesnt work is because if we plug in 2 into the equation, then 4x =8 and x+3=5

5 is not greater than 8 so it doesnt work

9514 1404 393

Answer:

  (3, 0)

Step-by-step explanation:

The line through these points intersects the x-axis at x=3.

The x-intercept is (3, 0).

_____

The x-intercept can be computed from ...

  x-intercept = x1 -y1(x2 -x1)/(y2 -y1)

  = -3 -(-4)(6-(-3))/(2-(-4)) = -3 +4(9/6) = -3 +6

  x-intercept = 3

__

Here, it is simple enough to plot the points and see where the line crosses the x-axis.

The value of tan(Y) = 0.75.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles, and with the trigonometric functions that describe those relationships.

Since triangle XYZ is a right triangle, we can use the trigonometric ratios of sine, cosine, and tangent to find the value of tan(Y). We can use the Pythagorean theorem to find the lengths of the sides XZ and YZ.

XZ = √(X^2 + Z^2) = √(4^2 + 3^2) = 5

YZ = XZ * sin(Y) = 5 * sin(Y)

Since we know the value of XZ and YZ, we can use the tangent function to find the value of tan(Y):

tan(Y) = YZ / XZ = sin(Y) / cos(Y) = YZ / 5 = 3 / 4 = 0.75

So, the value of tan(Y) = 0.75.

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Answer:

$3.32 per shirt of 3.32s has an expression

Step-by-step explanation:

9.95 / 3 ≈ 3.32

3.32s

s = number of shirts

Best of Luck!

Answer:

see explanation

Step-by-step explanation:

vertical angles are angles on the opposite side at a vertex of 2 lines.

1 and 6 , 2 and 5 , 3 and 8 , 4 and 7 are all vertical angles

supplementary angles sum to 180°

adjacent angles on a straight line sum to 180°

1 and 2 , 3 and 4 , 5 and 6 , 7 and 8 are examples of supplementary angles.

Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

The expanded form of the expression is 10 + 9 + 0.3 + 0.00 + 0.005

He runs the 100 meters dash in 19.305 seconds.

Therefore, the seconds he runs the race can be represented in expanded form as follows:

Expanded form is a way to write a number by adding the value of its digits.

We can use a place value chart to think of the value of a number's digits.

Therefore,

19.305 in expanded form is as follows:

19.305 = 10 + 9 + 0.3 + 0.00 + 0.005

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Answer:

The answer is C

Step-by-step explanation:

Given statement solution is :- It takes approximately 1.122 seconds for the ball to reach its maximum height.

To find the time it takes for the ball to reach its maximum height, we need to determine the vertex of the parabolic function given by the equation h(t) = \(-4.9t^2 + 11t + 7.\)

The vertex of a parabola in the form y = \(ax^2 + bx\) + c is given by the formula t = -b / (2a).

Comparing the equation h(t) = \(-4.9t^2 + 11t + 7\) to the standard form, we have:

a = -4.9

b = 11

Using the formula for the vertex, we can calculate the time it takes to reach the maximum height:

t = -11 / (2 * -4.9)

t = -11 / -9.8

t ≈ 1.122

Therefore, it takes approximately 1.122 seconds for the ball to reach its maximum height.

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Direct distance from the base of the Space Needle to Kasie's house = 1429 feet.

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.

Given,

Height of the observation deck AB = 520 feet

Angle of depression = 70°

Distance of the Space needle base to house BC = ?

By the figure,

tan70° = AB/BC

BC = tan70°(AB)

BC = 2.7475(520)

BC = 1428.7 feet

Distance of the Space needle base to house to nearest foot = 1429 feet

Hence, 1429 feet is the distance between base of the Space Needle to Kasie's house.

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

Depends on location, shipping, currency, and where you’re buying the phone from.

Step-by-step explanation:

cause there are cheap Samsung phones but some are fake knock-offs and illegitimate.

Answer:

samsung phones are around 80-150 $ for the cheapest

unless you want a flip phone then thats between 40 to 60$

so you will need more money

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

3x/6=36

3x=36(6)

3x=216

x=216/3

x=72

The relative change from Ohio to Indiana in terms of new mathematics teachers is approximately 49.08%. This indicates that Indiana has experienced a significant increase compared to Ohio in the number of new mathematics teachers.

To calculate the relative change from Ohio to Indiana in terms of new mathematics teachers, we need to determine the percentage increase or decrease in the number of teachers between the two states.

The relative change can be calculated using the formula:

Relative Change = (New Value - Old Value) / Old Value * 100

Let's apply this formula to the given data:

Ohio: Old Value = 4392

Indiana: New Value = 6546

Relative Change = (6546 - 4392) / 4392 * 100

Simplifying the equation:

Relative Change = 2154 / 4392 * 100

Relative Change ≈ 0.4908 * 100

Relative Change ≈ 49.08%

The relative change from Ohio to Indiana in terms of new mathematics teachers is approximately 49.08%. This indicates that Indiana has experienced a significant increase compared to Ohio in the number of new mathematics teachers.

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Answer:

226 cm^2

Step-by-step explanation:

It’s literally a rectangular prism If you put it together. The side with 2 cm and 11 cm , the surface area is 22 and since this is a rectangular prism, that means there is a second of the same kind. Then you get the larges box, since you know that the top side is 11 and the left side is 7, you multiply that * 2 which you then get 154. You add that up with the side that you solved before so 154 + 44 = 198. You then figure out the left side 7 * 2 * 2 (because there are two of them). 28 + 198 = 226 cm^2.  

Answer:

226 cm^2

Step-by-step explanation:

11*2 + 7*2 + 7*2 + 11*7 + 11*2 + 7*11

= 22+ 14 +14+ 77+ + 22 + 77

= 226