Identify the solution and graph of the compound inequality
4 + 2t> -6 AND 3 + 2t <7

Answer:

30 out of 50 times.

Step-by-step explanation:

1 attempt represents 3 out of 5 times.

10 attempts equals 1 attempt x 10.

Multiply numbers 3 and 5 by 10.

3 x 10 = 30

5 x 10 = 50.

Therefore, your solution is 30 / 50 times.

Using the probability of the initial success rate (60%), if you attempt to swim across the pool without taking a breath 10 times, you are expected to succeed 6 out of 10 times.

The question you're asking involves a simple concept in mathematics known as probability. The event of you being able to swim across the pool without taking a breath has so far occurred with a probability of 3 successes out of 5 attempts, or a 60% success rate. This is essentially an application of a ratio - you have succeeded 3 times for every 5 attempts you made. We can apply this ratio to predict outcomes over a larger number of trials.

If you were to attempt to swim across the pool without taking a breath 10 times and maintain the same success rate of 60%, you would be expected to make it 6 times out of 10 (since 60% of 10 is 6). Here's the breakdown:

Calculate the success rate from the initial trials: 3/5 = 60%

Apply that success rate to a larger number of trials: 60% of 10 = 6

Note that real-life scenarios might deviate slightly due to variability, but based on the given probability, we predict 6 successful swims across the pool in 10 attempts.1

Side length = 16.7 cm

Solution:

Perimeter of a square given = 66.8 cm

In a square four sides are equal.

The perimeter of a square = 4 × side

⇒ 4 × side = 66.8 cm

Divide both sides of the equation by 4 to equal the expression.

⇒ side = 66.8 ÷ 4

⇒ side = [tex]\frac{66.8}{4}[/tex]

⇒ side = 16.7 cm

Hence, the side length of the square is 16.7 cm.

Answer:

P=30

Step-by-step explanation:

width = x

length = 2x

2x^2=50

/2       /2

x^2=50

[tex]\sqrt{x^{2} }[/tex] = [tex]\sqrt{25}[/tex]

x=5

width=5

length=10

2width + 2length = Perimeter

10+20=P

30=P

Final answer:

The width of the rectangle is determined to be 5 feet using the area formula, leading to a length of 10 feet. The perimeter is then calculated using the sum of twice the length and twice the width, resulting in a perimeter of 30 feet.

Explanation:

To solve for the perimeter of a rectangle where the area is 50 square feet and the length is twice the width, we first use the given information to set up an equation. Let the width be w feet. Therefore, the length will be 2w feet. The area A of a rectangle is given by the formula A = length times width, so in this case, A = 2w times w = 50.

Solving for w, we have w² = 25, which gives us w = 5 feet. The length, therefore, is 2 times 5 = 10 feet. The perimeter P of a rectangle is given by P = 2 times (length + width), so the perimeter of this rectangle is P = 2 times (10 + 5) = 30 feet.

Answer:

2 1/2 hours

Step-by-step explanation:

1. multiply 12 by 2 to get 24

2. divide 12 by 2 to get 6 mph (miles per hour)

3. Add the 6 and 24

Answer:

C

Step-by-step explanation:

Given that (x + 8) is a factor of f(x), then x = - 8 is a root and thus

f(- 8) = 0

If (x+8) is a factor of f(x) then f(-8) =0 is the true statement.

" Factor is defined as an algebraic expression or a number when divided by another algebraic expression or a number without leaving remainder."

According to the question,

Given function = f(x)

Factor of f(x) = (x+ 8)

For example  [tex]f(x) = x^{2} + 12x+32[/tex]

                              [tex]= x^{2}+8x+4x+32 \\\\= (x+8) (x+4)[/tex]

(x+ 8) is a factor of f(x).

[tex]f(-8) = (-8)^{2} -64[/tex]

         [tex]= 64-64\\\\=0[/tex]

Hence, if (x+8) is a factor of f(x) then f(-8) =0 is the true statement.

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Answer:

The answer is A. Because 11/9 is greater than 1, the product of 4/5 and ​11/9 ​is greater than ​4/5

9/9 is exactly 1. 11/9 is greater than 9/9, so 11/9 is greater than 1. If I added 4/5, the answer is larger than 11/9, therefore the answer is A.

Answer:

A. Because 11/9 is greater than 1, the product of 4/5 and 11/9 is greater than 4/5

Step-by-step explanation:

Hope this helps!

Answer:

Y= -2x +8

Step-by-step explanation:

We know the line is perpendicular so the slope is negative inverse of 1/2, which is -2.

Now to find b, plug into equation

Y= -2x+ b

2= -2(3) +b

2= -6+ b

2+6= b

8=b

Answer:

-2x+8

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given

[tex]\frac{x^2-4x+3}{x^2+x-12}[/tex]

Factorise the numerator and denominator

x² - 4x + 3 = (x - 1)(x - 3)

x² + x - 12 = (x + 4)(x - 3), thus

= [tex]\frac{(x-1)(x-3)}{(x+4)(x-3)}[/tex] ← cancel (x - 3) on numerator/denominator

= [tex]\frac{x-1}{x+4}[/tex] → A

Rational expression are written as fractions. The simplified form of the expression is [tex]\frac{x-1}{x+4}[/tex]

Rational expression are written as fractions.

Given the rational expression

[tex]\dfrac{x^2-4x+3}{x^2+x-12}[/tex]

Factorize the numerator and denominator

[tex]=\dfrac{x^2-4x+3}{x^2+x-12}\\=\dfrac{x^2-3x-x+3}{x^2+4x-3x-12}\\=\frac{(x-3)(x-1)}{(x+4(x-3)} \\=\frac{x-1}{x+4}[/tex]

Hence the simplified form of the expression is [tex]\frac{x-1}{x+4}[/tex]

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Answer:

Nearest hundred: 0

Nearest hundredth: 26.35

Step-by-step explanation:

The hundred place value is three numbers to the left of the dot.

The two hundreds that are nearest to 26.35 are 0 and 100. To decide if you should round up (to 100) or round down (to 0), use the place value that is to the right of the hundred place: the number you are using is 2.

The rule for rounding:

Round up if the place value is 5 or more

Round down if the place value is 4 or less

Since 2 is "4 or less", round down to 0.

Since 26.35 is closer to 0 than 100:

26.35 => 0 when rounded to the nearest hundred

In case you meant hundredth:

The nearest hundredth means two decimal places, or two numbers right of the dot.

The number 26.35 already has two decimal places, so rounded to the nearest hundredth is still 26.35.

26.35 => 26.35

Answer:

25

Step-by-step explanation: by dividing

Answer:no it's not because bias Is your opinion ( like if you say dogs are the best that's your opinion only

Step-by-step explanation:

Answer:

Excluding women with children from the selection process of the survey

Step-by-step explanation:

The correct answer is: Excluding women with children from the selection process of the survey.

Answer:

$20.40 is the sales tax if she lives in Ohio where the sales tax rate is 5 percent.

Step-by-step explanation:

C. 3/8 i think.......

Answer: 7/15

Step-by-step explanation:

Answer:

With compass setting the same as line segment PA, place the compass

at C and draw an arc that intersects the circle ⇒ answer D

Step-by-step explanation:

Lets revise the step of construction a regular hexagon

1. Draw circle with center P; put point A on the circle's edge at

any place

2. With compass setting the same as line segment PA, place the

compass at A and draw an arc that intersects the circle at B

3. With compass setting the same as line segment PA, place the

compass at B and draw an arc that intersects the circle at C

4. With compass setting the same as line segment PA, place the

compass at C and draw an arc that intersects the circle at D

5. Contain with the same step of placing the compass at the previous arc and draw an arc with same distance of PA until you reach point A again, then join each arc on the circle forming the regular hexagon

The given steps are:

Circle with center P; point A is along the circles edge, an arc at point B

is along the circles edge, and an arc at point C is along the circles edge

According to the steps above, the next step is:

With compass setting the same as line segment PA, place the

compass at C and draw an arc that intersects the circle (step 4)

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The next step will be to use a compass and a straight edge to draw the second equilateral triangle with side AB. Option B is correct

Given that,

To determine the next step in the construction of a regular hexagon.

A polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,

Examples of the polygon, equilateral triangle, square, pentagon, etc

Here,
The next step is to draw a straight edge through the corresponding arc to the side AB, to form the second equilateral triangle.

Thus, the next step will be to use a compass and a straight edge to draw the second equilateral triangle with side AB. Option B is correct

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Explanation:

Find -9/4 = -2 1/4 on the number line. Put an open circle at that point.

Shade the number line to the left of there, representing all values less than -9/4. The dot at -9/4 is open because it is not included in the graph.

Answer:

The Proof for  "Equal chord of a circle subtends equal angle at the Center".

Step-by-step explanation:

Consider a Circle with center as C,

Radius AC ,BC ,DC and EC

Chord AB = Chord CD

To Prove:

"Equal chord of a circle subtends equal angle at center".

i.e ∠ACB = ∠ECD Which are Center angle

Proof:

In  Δ ABC and Δ DEC

Chord AB ≅ Chord DE     .….{Given}

AC ≅ DC                           …..{Radius of Same Circle}

BC ≅ EC                           ….{Radius of Same Circle}

Δ ABC ≅ Δ DEC               ….{By Side-Side-Side Congruence Postulate}

∴∠ACB ≅ ∠ECD  ...{Corresponding Parts of Congruent Triangles are Congruent or CPCTC} ....Proved

i.e Equal chord of a circle subtends equal angle at the Center.

Answer:

It would be 78.40 if it increase and decreases from its original price

Answer: the answer should be

72

Step-by-step explanation:

1. 80 x 0.18 or 18%=14.4

2. 14.4 divided by 0.20 or 20%=72

Answer: B is the answer

Step-by-step explanation:

Answer:

n ≥ -17

Step-by-step explanation:

Writing a symbolic inequality, we get:

10 - 3n ≤ 61

Solve this for 3n by adding 3n to both sides of this equation:

10 ≤ 61 + 3n

Solve for n by subtracting 61 from both sides and then dividing all of the resulting terms by 3:

-51 ≤ 3n (divide both sides by 3):

-17 ≤ n, or

n ≥ -17

Answer:

It's already in it's most simplified form.

Step-by-step explanation:

Answer:

1 [tex]\frac{11}{25}[/tex]

Step-by-step explanation:

You want to write out the fraction from the division problem.

To do this you want to know that the number that is being DIVIDED BY (or 36 in this problem) is the numerator (the number on top in the fraction) and the number DIVIDING the number that is being divided by is the denominator (or 25 in this problem).

You can then write this as the fraction [tex]\frac{36}{25}[/tex] . Next you want to change this into a mixed number to simplify the fraction. To simplify you want to do 36-25 because 36 exceeds 25. 36-25=11. Because you have 11 remaining you would keep it with the 25th fraction. The completed fraction should look like this 1 [tex]\frac{11}{25}[/tex] .

Answer:

sbf fb

Step-by-step explanation:

step step step

Answer:

sorry this was a year ago

Step-by-step explanation:

Answer:

where m is the slope and b is your y intercept

your equation is y = 2/7(x) - 12

Step-by-step explanation:

Answer:

16 oatmeal cookies.

Step-by-step explanation:

Answer:

its the third one

Answer:

A) A 90 degree counterclockwise rotation about the origin followed by a translation 1 unit to the left

Step-by-step explanation:

The formula to do a 90 degree counterclockwise rotation is (x, y) to (y, -x) so if the ordered pair is (5, 3) and you were to rotate it counterclockwise it would be (3, -5). Once you do this to all of the values, you are one unit to the right of what you should be, so then you would have to translate it 1 to the left in order to match up both of the trapezoids.

Answer:

20% of 600 is 120

Step-by-step explanation:

We shall use X as the variable

20% of x is 120

To find 20 percent of something, divide by 5.

Alternatively, you can find 10% of it then multiply by two.

600÷5 is 120

We see that 20% of 600 is 120

To simplify the expression 8.4(7x-4)+3.9, distribute 8.4 to both terms inside the parentheses and then add 3.9, resulting in 58.8x - 29.7.

The problem 8.4(7x-4)+3.9 requires simplification by applying the distributive property and then combining like terms. First, multiply 8.4 by both 7x and -4, and then add the constant 3.9 to the result.

The endpoints C and D has no midpoint M.

Step-by-step explanation:

step 1: The given endpoints of C and D are (-4,10) and (-4,10)

step 2: Midpoint formula = ((x1+x2)/2 , (y1+y2)/2)

step 3: Here, C(-4,10) = (x1,y1)

                      D(-4,10) = (x2,y2)

step 4: The midpoint represents the half distance of the line CD. Since C and D are same points, they cannot form a line. Therefore, the endpoints CD have no midpoint.

Answer:

y=-4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3y+14−2=0

3y+14+(−2)=0

(3y)+(14+(−2))=0 (Combine Like Terms)

3y+12=0

3y+12=0

Step 2: Subtract 12 from both sides.

3y+12−12=0−12

3y=−12

Step 3: Divide both sides by 3.

3y/3= −12/3

y=−4

Answer:

y=−4

Answer:

20

Step-by-step explanation:

25=50% so minus 5

Answer:

20

Step-by-step explanation:

Multiply 50 by 0.4

Answer:

Hi it’s c63

Step-by-step explanation:

Beacause 60+3=63

Answer:

x=42

Step-by-step explanation: