Graph the solution to the inequality on the number line.
w-0.9>-2.1
First select the correct ray. Then select the location of the endpoint to plot the inequality on the number line.

Answer:

I'm assuming it's just a conversion of mm into cm?? in that case it will be 2.4 cm

Answer:

BC = 21 cm

Step-by-step explanation:

In similar triangles the corresponding sides are in same proportion.

Its given in the sum that AC = 12 cm; DF = 20 cm and EF = 35 cm.

      \(\sf \dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}\\\\\\\dfrac{AC}{DF}=\dfrac{BC}{EF}\\\\\dfrac{12}{20}=\dfrac{BC}{35}\)

     \(\sf \dfrac{12}{20}*35=BC\\\\\\\dfrac{12}{4}*7=BC\\\\\\3*7=BC\\\\ \boxed{BC = 21 cm}\)

Answer:

f(x) = (x+8)²+1

Step-by-step explanation:

For a function in the form f(x) = (x-h)²+k, we can tell how it's shifted horizontally by setting what's inside the parentheses equal to zero and solving: Ex - if (x-8)², we set x-8=0 and solve to x=8, so the function is shifted to the right(+) 8 units.

Likewise, the number being added or subtracted after the (x-h)² tells us directly about the vertical shift: Ex - if (x-h)²-1, then it's shifted down(-) 1 unit.

Answer:

For Triangle 1

a. Hypothenus = 4

b. Adjacent = 2√3

For Triangle 2:

a. Hypothenus = 2√2

b. Adjacent = 2

Step-by-step explanation:

For Triangle 1

NOTE: We shall be using angle 30°.

a. Determination of the Hypothenus.

Opposite = 2

Angle (θ) = 30°

Hypothenus =?

Sine θ = Opposite /Hypothenus

Sine 30 = 2 / Hypo

0.5 = 2 / Hypo

Cross multiply

0.5 × Hypo = 2

Divide both side by 0.5

Hypo = 2 / 0.5

Hypothenus = 4

b. Determination of the Adjacent

NOTE: We shall be using angle 30°.

Opposite = 2

Angle (θ) = 30°

Adjacent =?

Tan θ = Opposite / Adjacent

Tan 30 = 2 / Adj

1 / √3 = 2 / Adj

Cross multiply

1 × Adj = 2 × √3

Adjacent = 2√3

For Triangle 2:

a. Determination of the Hypothenus.

Opposite = 2

Angle (θ) = 45°

Hypothenus =?

Sine θ = Opposite /Hypothenus

Sine 45 = 2 / Hypo

1 / √2 = 2 / Hypo

Cross multiply

1 × Hypo = 2 × √2

Hypothenus = 2√2

b. Determination of the Adjacent

Opposite = 2

Angle (θ) = 45°

Adjacent =?

Tan θ = Opposite / Adjacent

Tan 45 = 2 / Adj

1 = 2 / Adj

Cross multiply

1 × Adj = 2

Adjacent = 2

According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99

A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.

B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.

To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.

Note: The given question is incomplete. The complete question is:

Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.

A) find the number of adults in terms of 'N'.

B) if there are 124 children how many adults are there?​

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Answer:

y-10=9x+72

y-10-72=9x

y-82=9x

y=9x+82

Answer:

Step-by-step explanation:

Use the coordinates (30, 1) and (150, 5) to solve this. Time is always an x thing, while things like distance and weight and value are y things. Put them into the slope formula:

\(m(\frac{miles}{sec})=\frac{5-1}{150-30}=\frac{4}{120}=\frac{1}{30}\)  This translates to:

The rocket is ascending at a constant rate of 1 mile every 30 seconds; or, conversely, for every 30 seconds the rocket is flying, it is traveling 1 mile.

The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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Answer:

X = 4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

11x-7=8x+5

3x=12

x=4

Answer:

a) 263,158

b) $164,500

c) Ethical issues companies face when deciding to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...

Step-by-step explanation:

a)

Total cost = (0.25 + 0.02 + 0.03 + 0.15) x + 250,000

Total revenue = 1.40x

Setting the two equations equal to each other and solving for x, we get:

(0.45)x + 250,000 = 1.40x

0.95x = 250,000

x ≈ 263,158

b)

If the company sells 270,000 candy bars at $1.40 each, the total revenue generated is:

270,000 * $1.40 = $378,000

The total cost of producing 270,000 candy bars is:

(0.25 + 0.02 + 0.03 + 0.15) * 270,000 + $250,000 = $213,500

Therefore, the company's profit is:

$378,000 - $213,500 = $164,500

c)

Ethical issues companies face when presented with the decision to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...

Answer: x = 4

Step-by-step explanation:

(√x + 2)(√x - 2) = 0

√x*√x - 2√x + 2√x -4 = 0

x - 0 - 4 = 0

x = 4

Answer:

\(x=4\)

Step-by-step explanation:

(√x + 2)(√x - 2) = 0

√x × √x - √x · 2 + 2 · √x - 2 · 2 = 0

√xx - 2 × √x + 2 · √x - 4 = 0

√x^1+1 - 2 · √x + 2 × √x - 4= 0

√x² - 2 · √x + 2· √x - 4 = 0

x^2/2 - 2 × √x + 2 · √x - 4 = 0

x - 2· √x + 2 · √x - 4 = 0

x - 4 = 0

(x - 4) + 4 =  0

x - 4 + 4 = 0

x = 4

Answer:

A = 2184 cm²

Step-by-step explanation:

the area (A) of the figure is calculated as

A = \(\frac{1}{2}\) h(b₁ + b₂)

where h is the perpendicular height between the bases b₁ and b₂

here h = 42 , b₁ = 52 , b₂ = 52 , then

A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²

Answer:

A = 2184 cm2

Step-by-step explanation:

Area of a parallelogram:

\(A = b*h\)

\(b=52,h=42\)

\(A=(42)(52)=2184cm^{2}\)

Hope this helps.

Answer:

0.06493506 is the answer

Answer:

2/4 = 0.5

0.578

Step-by-step explanation:

so sin(π/4) is √2/2 squaring this gets your first answer

second answer is just plug and chug in a calculator

Answer:

median

Step-by-step explanation:

For a group of data with one big outlier, the mean is thrown off.

Like a room of 10 people who each make $50,000 a year except for one person who makes $2 million a year. The mean average for that group would be $245,000 a year but it reflects the actual circumstance of NOBODY in the room.

The median is more refective of the 'average' in these situations.

Both triangles in the image are similar based on the AAA similarity theorem. The radius of the circle B is therefore calculated as: AB = 12.

Similar triangles are geometric figures that have the same shape but may differ in size. They have corresponding angles that are equal and corresponding sides that are in proportion to each other.

Since AD serves as a common tangent, angle BAE is equal to 90 degrees, which is also equal to angle CDE due to being opposite angles.

By the Angle-Angle-Angle (AAA) similarity criterion, triangles ABE and DCE are similar.

Therefore:

AB/EA = DC/ED

Substitute:

AB/18 = 4/6

Cross multiply:

AB = 18 * 4/6

AB = 12

Therefore, the radius of the circle B is: 12.

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ANSWER

15.75 > 15.57

EXPLANATION

The cafe used 15.75 pounds of flour on Monday.

The cafe used 15.57 pounds of flour on Tuesday.

From the options:

< means that the number on the left is less than the number on the right.

> means that the number on the left is greater than the number on the right.

We can see that 15.75 is greater than 15.57.

Therefore:

15.75 > 15.57

Step-by-step explanation:

++++5

+++++++_2

1=false

true

false

false

Answer:

Step-by-step explanation:

The first line is:

It has undefined rate of change

The second line is:

It has rate of change of zero (no change in y-value for any x-value)

Answer:

Here, the rate of change is not defined.

Here, the rate of change is zero .i.e., y is independent of x.

Therefore, 2nd graph has a rate of change of zero.

the answer for 200 divided by 4 is 50

Answer:

50

Step-by-step explanation:

50×2=100

5×2=100

100+100=200

This is the simplest way I can break it down.

I hope this helps you in any way :)

Answer:

Step-by-step explanation:

$6/(2 DVDs) = $3/DVD, and $8/(4 CDs) = $2/CD

a DVD costs $3

a CD costs $2

Lynn bought 4 DVDs and 2 CDs for 4×$3 + 2×$2 = $16.

Pierre bought d DVDs and c CDs for $20.

d is 0, 2, 4, or 6

c = (20-3d)/2

(d,c) = (0,10), (2,7), (4,4), or (6,1)

Answer:

B

Step-by-step explanation:

The equivalent expression shows the length and the width of the path is (x-10)(x-8).

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. First, there must be a term other than zero in the coefficient of x² (a≠ 0) for an equation to be a quadratic equation. The x²term is written first when constructing a quadratic equation in standard form, then the x term, and finally the constant term. The numerical values of a, b, and c are typically expressed as integral values rather than fractions or decimals.

Given:

A = x² - 18x +80.

Now, factorizing

x² - 10x - 8x + 80

=x(x-10) - 8(x-10)

=(x-8)(x-10)

Hence, equivalent expression shows the length and the width of the path is (x-10)(x-8).

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Answer:

35×7=56 is a AWNSER djndhei

Answer:

4/9

Step-by-step explanation:

Answer: 80%. Hope this helps, please consider making me Brainliest.

Step-by-step explanation:

To find the percentage, divide the sale cost by the original cost:

27.60/34.50

Let's multiply both sides by 10 to make the operation easier:

27.6/34.5 ( I eliminated the zero's because they kind of have no use) -->

276/345, now solve:

276/345 = 0.8

0.8 = 80%

The percentage is 80%.

D: (-7, -5)

Coordinates for the rectangle you describe:

(-5, 6), (-2, 6), (-5, 1), (-2, 1)

Answer:

d

Step-by-step explanation:

9514 1404 393

Answer:

  12 11/24 radians (combined angular motion)

Step-by-step explanation:

In one hour, the combined angular motion is ...

  (2π)(1 +1/12) = 13π/6 radians

Then in the 5 3/4 hours between 1 pm and 6:45 pm, the angular motion of the two hands will total ...

  (23/4)(13π/6) radians = 299π/24 radians = 12 11/24 radians

_____

Additional comment

Maybe you're asking for the separate motions.

  minute hand: 2π×5.75 = 11.5π radians

  hour hand: (π/6)×5.75 = 23π/24 radians