Which of the following statements are true of the parabola shown?
1. It has a directrix of x = -4.
2. It opens to the left.
3. It has a vertex at the origin.
4. The axis of symmetry is the y-axis.
5. It has a focus at (4, 0).

Answer: 1/2

Step-by-step explanation:

The sample space when a six sided die is thrown once is :

{ 1,2,3,3,5,6}

The even numbers are :

{2,4,6}

Therefore :

P(even) = n(even) / total number

That is

P(even) = 3/6

P(even) = 1/2

Answer:

Step-by-step explanation:

A(5,0),B(4,2), C(1,3),D(-2,2),E(-3,-1),F(0-4)

we divide the hexagon in triangles and trapeziums

area Δ BCD (with coordinates B(4,2),C(1,3),D(-2,2)) =1/2(2+4)×2=6

area Δ DEG (with coordinates D(-2,2),E(-3,-1),G(-2.-2))=1/2(2+2)×2=4

area ΔAOF(with coordinates A(5,0),O(0,0),F(0,-4))=1/2×5×4=10

area trapezium ABDH (with coordinates A(5,0),B(4,2),D(-2,2),H(-2,0))=1/2[(2+5)+(2+4)]×2=13

area trapezium OHGF (with coordinates O(0,0),H(-2,0),G(-2,-2),F(0,-4))=1/2[4+2]×2=6

Total area=6+4+10+13+6=39 sq units.

Answer:

B.

Step-by-step explanation:

The least amount of water in a pool is zero gallons.

It takes 16 minutes to reach zero gallons (the pool is empty).

The domain is from 0 to 16.

Answer: B.

Answer:

56

Step-by-step explanation:

Answer:

56 legs

Step-by-step explanation:

Because each spider has 8 legs and there are 7 spiders in all, you must find the product of 8x7. This is just a simple multiplication problem, so 8 multiplied by 7 is 56.

Let a, b, and c be the length of 3 corresponding sides of the triangle. The following inequality must always be true since they form a triangle :

[tex]a+b>c[/tex]

(This inequality says that the sum of two sides must always be greater than the other side)

Let's use this inequality for x, 1.3, and 4.1

[tex]x+1.3>4.1[/tex]

(The reason why 1.3 is on the left side is because it is the smaller side)

Subtract both sides by 1.3

[tex]x>2.8[/tex]

x must always be greater than 2.8. Now, let's see what value x must be always less than.

[tex]1.3+4.1>x[/tex]

[tex]5.4>x[/tex]

x must be always less than 5.4. Let's combine both statements for x and we get:

[tex]2.8<x<5.4[/tex]

These are the only values of x that will make it possible for these sides to form a proper triangle.

Let me know if you need any clarifications, thanks!

~ Padoru

The value of [tex]\log _{6}(36)[/tex] is 2.

Solution:

Given expression is [tex]\log _{6}(36)[/tex].

To evaluate the expression:

[tex]\log _{6}(36)[/tex]

36 can be written as 6².

       [tex]=\log _{6}\left(6^{2}\right)[/tex]

Using log rule: [tex]\log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x)[/tex]

       [tex]=2 \log _{6}(6)[/tex]

Using log rule: [tex]\log _{a}(a)=1[/tex] so that [tex]\log _{6}(6)=1[/tex]

       = 2(1)

       = 2

[tex]\log _{6}(36)=2[/tex]

Hence the value of [tex]\log _{6}(36)[/tex] is 2.

Final answer:

To find log₆ 36, we determine the exponent that 6 must be raised to to get 36. As 6 squared equals 36, the value of log base 6 of 36 is 2.

Explanation:

The question asks us to evaluate the logarithm of 36 with a base of 6, or, in mathematical terms, log base 6 of 36. We can solve this by recalling the definition of a logarithm, which is the power to which a base number must be raised to yield a given number. Since 6 squared is equal to 36 (6² = 36), the logarithm of 36 with a base of 6 is equal to 2.

Answer:

Home equity can be a long-term strategy for building wealth.

y = 75

Solution:

In a straight line, sum of the adjacent angles = 180°

80° + m∠DGF = 180°

Subtract 80° from both sides of the equation.

m∠DGF = 100°

Sum of all the interior angles in a quadrilateral = 360°

m∠DGF + m∠GFE + m∠FED + m∠EDG = 360°

100° + 120° + 65° + y° = 360°

285° + y° = 360°

Subtract 285° from both sides, we get

y° = 75°

Hence the value of y is 75.

The width of the rectangle can be represented by the expression (121-x^2) / (11-x).

To find the width of the rectangle, we need to divide the area of the rectangle by its length. The area of the rectangle is given by the expression 121-x^2, and the length is given by 11-x. So, we can represent the width as:

Width = (Area / Length) = (121-x^2) / (11-x)

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Answer:

1, 3, 5

Step-by-step explanation:

Answer:

A, C, and E

Step-by-step explanation:

Explanation for A.) 25 x the number of shirts has to be less than 300 and this means 25s < 300

Explanation for C.) Divide both sides by 25 which turns it into s < 12. < = open circle.

Explanation for E.) The value of s is less than the value of 12 which means the arrow points left.

Answer:

1 1/3

Step-by-step explanation:

I had to take the test as well Good luck!

The division is 1 1/3.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.

Given:

8/9 divided by 2/3

Now, we have to perform the division

= 8/9 ÷ 2/3

= 8/9 * 3/2

= 24 / 18

= 12/9

=4/3

=1 1/3

Hence, the value of the division is 1 1/3.

Learn more about fraction here:

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Answer:

  w = 300 +12.32v

Step-by-step explanation:

Calista's wages are ...

  wages = (straight time earnings) + (overtime pay)

  = $300 + (overtime hours)·(overtime pay per hour)

  = $300 + (v)($12.32)

Using the symbols required by the problem statement, we have ...

  w = 300 + 12.32v

Final answer:

To calculate the charge for a 36-mile drive by Sigi's taxi company, multiply 0.60 by 36 to find the mileage cost, add the $4.50 bridge toll, which results in a total cost of $26.10. Hence, the correct answer is (b) $26.10.

Explanation:

The question asks how much Sigi’s taxi company will charge for a 36-mile drive considering their rate is $0.60 per mile and there is an additional charge of $4.50 for bridge tolls. To calculate the total cost, you can use the given expression 0.60m + 4.50, where 'm' represents the number of miles.

By substituting 36 for 'm', you get the following calculation: 0.60 × 36 + 4.50. The cost per mile for 36 miles amounts to $21.60 ($0.60 times 36). Add the additional $4.50 charge for bridge tolls to get a total charge of $26.10.

Step-by-Step Calculation:

Therefore, the correct option is (b) $26.10.

Answer: 23 1/24

Step-by-step explanation:

There's no divisible number, hence multiply the two denominators to get 24

Then solve to get: 23 16 -15/24

23 1/24

Answer: 12 units

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

ed 2020

Answer:

up 8 on the y axis

Step-by-step explanation:

Answer:

The total area of the field is 7378.8 square meters.

The total area of the field is 8825.0448 square yards.

Step-by-step explanation:

Given : A soccer field (football pitch) has a length of 103.2 m and a width of 71.5 m.

To find : The total area of the field in square meters (m²) and convert this measurement to square yards (yd²) ?

Solution :

The length l=103.2 m

The width w=71.5 m

The area of the field is [tex]A=l\times w[/tex]

[tex]A=103.2\times 71.5[/tex]

[tex]A=7378.8\ m^2[/tex]

The total area of the field is 7378.8 square meters.

We know that,

1 m²= 1.196 yd²

[tex]7378.8\ m^2=7378.8\times 1.196\ yd^2[/tex]

[tex]7378.8\ m^2=8825.0448\ yd^2[/tex]

The total area of the field is 8825.0448 square yards.

The area of the soccer field is 7378.8 m^2 and 8822.6 square yards.

The area of a rectangle (which is the shape of a soccer field) can be found by multiplying the length and the width. So, the area of the soccer field in square meters is 103.2 m (length) times 71.5 m (width), which equals 7378.8 m2.

To convert this area to square yards, you should know that 1 square meter is approximately equal to 1.19599 square yards. So, multiply our previous answer with this value. The area of the soccer field will be 7378.8 m2 times 1.19599 to get 8822.6 yd2.

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The surface area of the present in the shape of a cube is 2,400 square centimeters.

The present takes the shape of a cube.

The formula for the surface area of a cube is expressed as:

Surface area = 6( a² )

Where a is the edge length.

From the figure, the edge length of the present is;

Edge length a = 20cm

Surface area =?

To determine the surface area of the present, plug the given value into the above formula:

Surface area = 6( a² )

Surface area = 6( 20² )

Surface area = 6( 400 )

Surface area = 2,400 cm²

Therefore, the surface area measures 2,400 cm².

This question is not complete, the complete question is:

The present shown below is a cube.

Find the surface area of the present.

Answer:

Approximately 252 inches squared.

Step-by-step explanation:

Answer:

126 in.^2

Step-by-step explanation:

The hexagon is divided into 6 congruent triangles. The area of the hexagon is 6 times the area of one of the triangles.

Now think of each triangle.

The side of the hexagon is the base of the triangle. The side of the hexagon has length 7 inches, so the base of the triangle has length 7 inches.

The height of the triangle is approximately 6 inches.

area of triangle = base * height/2

area of hexagon = 6 * area of triangle

area of hexagon = 6 * base * height/2

area of hexagon = 3 * base * height

area of hexagon = 3 * 7 in. * 6 in.

area of hexagon = 126 in.^2

Answer:

Range and interquartile range

Step-by-step explanation:

Range is the difference between the highest and lowest values.

Interquartile range is a measure of statistical dispersion, being equal to the difference between 75th and 25th percentiles, or between upper and lower quartiles, IQR = Q₃ − Q₁.

Answer:

462.25

Step-by-step explanation:

You divide 1849 by 4 to get 462.25

Answer:

462.25 parts are make per hour

Step-by-step explanation:

Step 1:  Convert words into an expression

An automobile factory, 1849 parts are made in 4 hours.  What is the average rate at which parts are made per hour?

1849/4 = x

Step 2:  Solve

1849/4 = x

462.25 = x

Answer:  462.25 parts are make per hour

Answer:68

Step-by-step explanation:

Area of triangle=1/2×base×height

1632=1/2×48×h

1632×2=48×h

3264=48×h

3264/48=h

68=h

Final answer:

To find the height of a triangle with an area of 1,632 square inches and a base of 48 inches, we use the formula A = (base × height) / 2. Solving for height gives us a result of 68 inches.

Explanation:

To calculate the height of a triangle when its area and base length are known, we use the formula for the area of a triangle: A = (base × height) / 2. Given that the area of the triangular banner is 1,632 square inches and the base length is 48 inches, we can set up the equation:

1,632 = (48 × height) / 2

Multiplying both sides of the equation by 2 to get rid of the denominator:

3,264 = 48 × height

Next, divide both sides by 48 to isolate the height:

height = 3,264 / 48

height = 68 inches

Therefore, the height of the triangular banner is 68 inches.

Solution:

Complementary angles add up to 90° and supplementary angles add up to 180°

Let "a" be the required angle

Supplement of an angle = 180 - a

Complement of angle = 90 - a

The supplement of an angle is six times as large as the complement of the angle.

Therefore,

180 - a = 6(90 - a)

Simplify the above

180 - a = 540 - 6a

6a - a = 540 - 180

Combine the like terms

5a = 360

Divide both sides by 5

a = 72

Thus the measure of the angle to the nearest whole degree is 72 degrees

Answer:

Lower annual interest in real terms is a relief to customers because it can go across a monthly payment like in a product purchase with a credit card.  A low annual fee is just one payment that can be a certain membership of which happens only on an annual basis.

Answer:

Lower annual interest in real terms is a relief to customers because it can go across a monthly payment like in a product purchase with a credit card.  A low annual fee is just one payment that can be a certain membership of which happens only on an annual basis.

Step-by-step explanation:

edge

A number line going from negative 8 to positive 2. A closed circle is at negative 2. Everything to the right of the circle is shaded. Then the correct option is D.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

–(5/2)x – 3 ≤ 2

        (5/2)x ≥ –5

                x ≥ –2

The value of x is greater than 2 and closed circle at (–2, 0).

Then the correct option is D.

More about the inequality link is given below.

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Answer:

The correct answer is A. 1.5

Step-by-step explanation:

This is the information given to us to answer the question correctly:

Week                        1  2  3  4  5  6

Numbers of Books 2  3  1  2  0  1

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

Assuming that these six weeks are representative of his reading  habits, what is the average number of books does Anthony read per week?

Let's calculate the average number of books, this way:

Average number of books Anthony reads per week = (2 + 3 + 1 + 2 + 0 + 1)/6

Average number of books Anthony reads per week = 9/6

Average number of books Anthony reads per week = 1.5

The correct answer is A. 1.5

Answer:

K = 676

Step-by-step explanation:

When y is directly proportional to x and inversely poportional to z

We have

y = kx/z

When y =520

x = 5

z = 6.5

K =?

We have

520 = k x 5/6.5

Cross multiply

520 x 6.5 = 5k

3380 = 5k

Divide both sides by 5

3380/5 = 5k/5

676 = k

k = 676

Answer:

hi there! i can help you out! i don't want you to get a zero on your report card!!

Step-by-step explanation:

so, on the x-axis, which is all the numbers through 1-10 and there are the patient's number. so for ex, the first question says patient 1 : 3 hours right??

so the hours are the y-axis and you can label them 2,4,6,8 because skip counting by twos are probably the easiest! so for the first question, you would line a dot up on top of 1 and go up and you see 2 and 4 right, cuz you just labeled it... do go between 2 and 4 which is 3 and place the dot there...

and keep doing the same things with other ones too...

another ex! so on the second question, it says patient 2 : 7 hours so place the dot on top of the 2 and go up untill you see 6 and 8 and place the dot beween them!

Sorry but I forgot about Mean Median And Mode! Sorry I would hate to see you get a zero!

Answer:

I would say 24

Step-by-step explanation:

24 is 1/5 of 120