[tex]x \geqslant - 2[/tex]
PLEASE HELP!!
A)
B)
C)
D)​

Let the number be x.

Then according to the question,

Thus, the number should be greater than or equal to -12.

EXPLANATION

Given the fractions 1 3/8 and 3 2/3

First we need to turn both fractions into improper ones

Now, multiplying both fractions:

The answer is 121/24

First, notice that:

now, we can write 29 as 20 + 9 and 56 as 50 + 6, so, we can draw the following rectangles:

Then, if we calculate the area of each of the rectangles, we get the following:

then, if we add all the areas together, we get:

which is the same result as 29 x 56

Answer:

d. 10, 24, 26

Explanation:

To identify the side lengths that form a right triangle, we check if it satisfies the Pythagorean theorem.

By the theorem:

a. 12, 13, 16

These side lengths do not form a right triangle.

b. 15, 20, 21

These side lengths do not form a right triangle.

c. 9,40,42

These side lengths do not form a right triangle.

d. 10, 24, 26

These side lengths form a right triangle since both sides of the equation are the same.

The height of the tree is 13.82 m

Step - by - Step Explanation

What to find? Height of the tree.

Given:

• Angle of elevation = 62,°

• Eye-level above the ground =160cm

• Distance away from the tree = 6.5m

We need to first sketch the problem, to have a clearer picture of the question.

Change 160cm to meter

160 cm = 160/100 = 1.6 m

Height of the tree = 1.6 + x

We need to find the value of x.

From the sketch above;

Opposite =x

Adjacent =6.5

θ= 62°

Using the trigonometric ratio;

Substitute the values.

Cross-multiply.

x=6.5tan62°

x = 12.22 m

Height of the tree = 1.6 m + 12.22m

Height of the tree = 13.82 m

OR

Height of the tree = 1382 cm approximately.

Note:

Corresponding agles are angles on corresponding (the same) side of the two lines intersected by the transversal

Alternate angles are angles on the opposite sides of the transversal

ANSWER

EXPLANATION

Given;

Current model costs $36000

$36000 is 100% of current price.

Next model will be 100% plus 3.4%;

t

Therefore, the increase in price;

Hence, the price increase in dollars is $1224 while the price of the next model is $37224

Explanation

Step 1

to find the transformation, count the units moved in each axis

for x, (red line)

for y( green line)

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

CONCLUSION:

The final answer is:

By using the vertex and the given point, we conclude that the quadratic equation is:

y = 4*(x - 3)^2  + 2

A quadratic equation with a vertex (h, k) and a leading coefficient A can be written as:

y = A*(x - h)^2 + k

In this case, we know that the vertex is (3, 2), replacing that in the general equation we get:

y = A*(x - 3)^2 + 2

We also know that the curve passes through (4, 6), so when x = 4, the value of y must be 6, replacing that in the quadratic equation we can find the value of A.

6 = A*(4 - 3)^2 + 2

6 = A*(1)^2 + 2

6 - 2 = A*1

4 = A

So we conclude that the quadratic equation is:

y = 4*(x - 3)^2  + 2

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Similar triangles are triangles that maintain the same ratio even though they are of different scales. Their angles are however equal.

In this case, y is the longest side in triangle 2 as 37.5 is the longest side in triangle 1

The ratio is thus:

Cross multiplying, we have:

y = 22.5

Answer

Option A contains two numbers that do not have a geometric mean of 12.

11 and 13 do not have a geometric mean of 12.

Explanation

The geometric mean of two numbers, a and b, is given as

Geometric mean = √(a × b)

So, we want to find which two numbers will have a geometric mean of 12

12 = √(a × b)

Taking the square of both sides, we see that

144 = (a × b)

So, whichever two numbers give a product of 144 is our answer.

Option A

11 × 13 = 143

Option B

20 × 7.2 = 144

Option C

3 × 48 = 144

Option D

5 × 28.8 = 144

Hope this Helps!!!

step 1

Find the slope

we have the points

(3,4) and (7,6)

m=(6-4)/(7-3)

m=2/4

m=$0.5 per card

the equation of the line in slope intercept form is equal to

y=mx+b

we have

m=0.50

b=?

point (3,4)

substitute

4=0.5(3)+b

b=4-1.50

b=2.50

y=0.50x+2.5

so

For x=25 cards

substitute

y=0.50(25)+2.50

y=15.00

We have the following expression given:

2x -5y = -20

For this case the correct set in order to begin is add 5y in both sides

Add +5y to both sides of the equation.

Recall that the domain of a rational function consists of all the real numbers x except those for which the denominator is 0.

The denominator of the given rational function is:

Notice that:

Therefore d(x)=0 at x=-9 and x=-2, then those values are not in the domain of g.

Answer:

Using proportions we can conclude that the researcher should recruit a minimum of 1509 subjects.

So, a study is being planned to determine the percentage of acetaminophen users who suffer liver injury.

With,

Then,

In order to obtain the most cautious estimate, we should pick p = 0.5 because the researcher has no preconceived notions about what the sample proportion should be:

Therefore, using proportions we can conclude that the researcher should recruit a minimum of 1509 subjects.

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The correct question is given below:
It is believed that large doses of acetaminophen (the active ingredient in over the counter pain relievers like Tylenol) may cause damage to the liver. A researcher wants to conduct a study to estimate the proportion of acetaminophen users who have liver damage. If she wants to limit the margin of error of her 98% confidence interval to be no more than 3%, what is the minimum number of subjects that she needs to recruit? [Note: The researcher has no expectations about what the sample proportion should be ahead of time, so she – and you – should use p = 0.5 to get the most conservative estimate.]

is choice a

iner loop Limacon

The point-slope form of a line always has the form:

"m" represents the slope of the line; in our case, the statement of the problem says that

Besides, (x_0, y_0) is a point of the line. By the statement of the problem (again), we can choose:

Then, the point-slope form becomes:

Answer:

Explanation:

Given the functions:

We want to find:

First of all, we need to find:

This is done by inserting the value of h(x) into f(x)

So, we have:

Substituting 7 for x in f[h(x)], we have f[h(7)]

Which is what we are looking for.

Using the uniform distribution, it is found that:

The uniform distribution has two bounds, a and b, and all outcomes in the distribution are equally as likely.

In this problem, the bounds are as follows:

a = 0, b = 5.3.

Hence the mean is:

M = (a + b)/2 = (0 + 5.3)/2 = 2.65 mm.

The standard deviation is of:

[tex]S = \sqrt{\frac{(b - a)^2}{12}} = \sqrt{\frac{5.3^2}{12}} = 1.53[/tex]

The uniform distribution is continuous, hence the probability of an exact value is of 0.

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

Hence:

P(1.2 < x < 3.4) = (3.4 - 1.2)/(5.3 - 0) = 0.4151 = 41.51%.

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

Hence:

P(X > 4.16) = (5.3 - 4.16)/(5.3 - 0) = 0.2121 = 21.51%.

P(x > 4.2 | x > 1.8) makes the lower bound 1.8, hence:

P(X > 4.2|x > 1.8) = (5.3 - 4.16)/(5.3 - 1.8) = 0.3257 = 32.57%.

The 85th percentile is found as follows:

0.85 x (5.3 - 0) = 4.505 mm.

The lower quartile is the 25th percentile, hence:

0.25 x (5.3 - 0) = 1.325 mm.

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Answer:

The diagonal length is 7.42 inches.

Explanation:

The disk with its diagonal is:

Then, we can look at the diagonal as the hypotenuse of a right triangle. Then, if we call D to the diagonal:

To factor an expression of the form:

we find two numbers B and C that fulfills the following properties:

In this case we have b=-4 and c=-12. We can choose B=-6 and C=2. Then we write the expression as:

and we factor the common factors in the first two and last terms:

Therefore:

Answer:

C.

Explanation:

Let's analyze each answer option:

Option A.

Taking into account the table, we can say that 45 boys play video games daily and 12 girls play video games daily, so more boys play video games daily than girls because 45 is greater than 12.

Option B.

In the same way, there is a total of 57 students that play video games daily and 43 that don't. Since 57 is a little higher than 50 (half of the 100 students surveyed), we can say that a little more than a half of the students surveyed play video games daily.

Option C.

There are 50 boys surveyed and from them 5 do not play video games daily, so the percentage of boys that don't play video games daily is:

Option D.

In the same way, there are 50 girls surveyed, and 12 play video games daily, so the percentage of girls that play video games daily is:

Therefore, the only option that is not a reasonable interpretation of the data is C. because the percentage of boys that don't play video games daily is 10% instead of 5%

We know what Miguel has 225 baseball cards, and he plans on keeping 75, while giving them the rest of them to his friends. We want to know if he can give an equal number to 6 of his friends.

For this objective, we know what he will have to give to his friends an amount of:

The length of segment AB when the line segment AB is on square ABCD is 36 units.

From the task content, the length of the line segment AB which is a side of the square ABCD is to be determined.

In this case, since the perimeters of triangle EFG and square ABCD are equal as given;

Let the length of segment AB = x.

Therefore, EF = x + 12.

Therefore, the perimeter of the equilateral triangle = 3(x +12).

While the perimeter of square ABCD is; 4x.

Therefore, since the perimeters are equal, we equate them and this will be:

3(x + 12) = 4x

3x + 36 = 4x

36 = x.

Therefore, the length is 36 units.

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As shown in the figure:

There are two parallel lines of the triangle

Using the ratio and proportional to find the value of x

So,

So, the answer is: x = 27

A square is all of these combined because each one could be a square, which means a square is each of these.

Answer:

A square is each of these because they may all be squares, hence a square is all of them.

Step-by-step explanation:

To calculate the standard deviation given the variance, we just take the square root.

That because the variance is:

And the standard deviation is:

So, calculating the standard deviation:

Thus, the standard deviation is 1.5.

Answer:

The graph for the inequality x < 1 is shown below

Explanation:

The graph is marked on the number line, from the point 1 to the left, 1 is not included in this set, so the point is not shaded