sporeowner made a list of the number ofred marbles. One marble is selected at random.greeting cards sold last month. The store soldDetermine whether each statement correctly describes the167 thank-you cards, 285 birthday cards andlikelihood of an event based on the given bag of marbles.56 blank cards. Based on this data, what isState whether each statement is True or False.the probability that the next customer willbuy a blank card expressed as a percent?

Since the x-coordinate is the one that changed, this is a horizontal reflection over the y-axis.  

If you put this on a graph, you'll see the two points are opposite each other, with respect to the y-axis.

Answer:

16.1 seconds

Step-by-step explanation:

h = 16t²

h = 4144

4144 = 16t²

÷16      ÷16

----------------

259 = t²

√259 = √t²

16.1 ≈ t

I hope this helps!

We need to find the net cost equivalent after two consecutive discounts of 25%.

After the first discount, the percentage of the list price the client should pay is given by:

After the second discount, the percentage of the list price the client should pay is:

Therefore, the net cost equivalent is 56.25%.

Answer:

x = 62 and y = 28

Step-by-step explanation:

Solving for x:

[tex]47+15 = 62\\180-62 = 118\\180 - 118 = 62 \\x = 62[/tex]

Solving for y:

[tex]62 + 90 =152\\180-152=28\\y = 28[/tex]

Given rectangles ABCD and WXYZ, you need to determine whether they are similar.

By definition, two figures are similar if the lengths of their corresponding side are in proportion and if the measures of their corresponding angles are equal.

You know that all the interior angles of a rectangle measure 90 degrees. Therefore, you know that the corresponding angles of the given rectangles are congruent.

In order to determine if their corresponding sides are in proportion, you can set up this equation:

Reducing the fractions, you get:

Therefore, the lengths of the corresponding sides are not in proportion.

Hence, the answer is: The rectangles are not similar.

Answer:

82

Step-by-step explanation:

78+4

Dividing the first equation by 2 we get:

Therefore, both lines have the same slope, then they must be parallel or the same line. Now, since they have different y-intercept, we get that they must be different lines.

Answer: The given lines are only parallel.

Jiri's age is 20

Let Pamela's ae be P and Jiri's age be J

From the equation;

P = J + 5 ...............(i)

This is as Pamela is 5 years older

Adding their ages, we have 45

P + J = 45 ........................(ii)

Substitute i into ii

J + 5 + J = 45

2J + 5 = 45

2J = 45-5

2J = 40

J = 40/2

J = 20

The value of (g/f)(x)  is 7x/ 6(x+1)  , and the domain is all Real numbers except -1 which is (-∞,∞)-{-1} .

In the question ,

it is given that

the function f(x) = 6/x

and the function g(x) = 7/(x+1)

the function (g/f)(x)  means g(x) / f(x)

so , (g/f)(x) = [tex]\frac{\frac{7}{x+1} }{\frac{6}{x} }[/tex]

= 7/(x+1) * x/6

= 7*x / 6(x+1)

= 7x/ 6(x+1)

For Domain 6(x+1) ≠ 0

6(x+1) ≠ 0

which means 6 ≠ 0 and x+1 ≠ 0

x ≠ -1

so domain is all Real numbers except -1 .

that is (-∞,∞)-{-1}

Therefore , The value of (g/f)(x)  is 7x/ 6(x+1)  , and the domain is all Real numbers except -1 in interval notation is (-∞,∞)-{-1} .

Learn more about Functions here

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we are asked to find the value of 6 factorial. Therefore,

Part a

[tex]y^2=35 \implies y=\pm \sqrt{35}[/tex]

Part b

[tex]y^3=1000 \implies y=\sqrt[3]{1000}=10[/tex]

a. [tex]y^{2} = 35 - > y =+- \sqrt{35}[/tex]
b. [tex]y^{3} = 1000 - > \sqrt[3]{1000} = 10[/tex]

(+ - means either minus 35 or 35)

Explanation:

From the properties of a parallelogramgiven in the image below, we will have that

From the parallelogram, we were given the opposite sides to be

Hence,

Since the property of a parallelogram states that opposite sides are equal, we will have that

EXPLANATION :

a. Data set that shows NO relationship between two variables.

The data will be scattered without having a linear or definite shape.

From the options, it is Figure 2

b. Data set that shows a negative linear relationship between two variables.

Negative linear relationship implies a downward direction in a shape of a line.

From the options, it is Figure 1

c. Data set that shows a positive linear relationship between two variables.

Positive linear relationship implies an upward direction in a shape of a line.

From the options, it is Figure 4

d. Data set that shows a nonlinear relationship between two variables.

There is a definite shape but it is not in a shape of a line.

From the options, it is Figure 3

Answer:

[tex]\dfrac{-15}{8}[/tex]

Step-by-step explanation:

[tex]\sf \dfrac{3}{4} \ \div \dfrac{-2}{5}[/tex]

 Use KCF method.

       [tex]\sf \dfrac{3}{4} \ \div \dfrac{-2}{5}=\dfrac{3}{4}*\dfrac{-5}{2}[/tex]

                      [tex]\sf = \dfrac{3*(-5)}{4*2}\\\\ =\dfrac{-15}{8}[/tex]

It is given that 339 calories in 3 ounce serving.

So in one ounce serving there will be:

So the unit rate is 113 calories/ounce.

There are two fractions that are equal, but one of them has a product in the denominator. We need to choose 3 numbers such that the simplified fraction lead to two different numbers. Those numbers are:

Then, there are 4 more numbers: 1, 5, 7, and 8. 1/5 is lower than 3/4, and 7/8 is higher than 3/4. Then, the answer is:

Given data:

The given equations are x - 2y = -1 and 2x + 3y = 12.

The given point of intersection is the solution of the equation which is (3, 2).

Thus, the solution of the given equations is (3, 2).

The answer is: log(8) + 3log(x)

To identify and calculate the perimeter:

a)

Since, it has 3 sides.

Therefore, it is a triangle.

Perimeter is,

Hence, perimeter of the triange is 35 ft.

b)

It is a trapezium.

Perimeter of trapezium is,

Hence, perimeter of the trapezium is 20 ft.

c)

It is a rhombus.

Perimeter of rhombus is,

Hence, perimeter of the rhombus is 56 ft.

d)

It is a regular hexagon.

Perimeter of regular hexagon is,

Hence, perimeter of the regular hexagon is 48 ft.

Answer:

83 deg

Step-by-step explanation:

sum of angles in triangle = 180

<1=180-(31+66)=180-97=83

Answer:

83 degrees

Step-by-step explanation:

the angles in a triangle add up to 180 degrees

Answer:

35 meters.

Explanation:

The ratio of the side lengths of the quadrilateral are:

The perimeter of the figure is 90 meters. Therefore, the length of the longest side will be:

The length of the longest side is 35 meters.

Using Law of sines:

Area = 1/2 ab sin C

Replacing:

Area = 1/2 √57 (8.9) sin (7pi/12)

Area = 32.5 units2

We have the following:

solving for x:

Given:

To find f(1):

Put x=1, we get

Hence, the value of f(1) is -7.

S( -5, 2) ----------------> S'(-25, 10)

Y(-4, 5) ------------------> Y'(-20, 25)

R(-1, 1) --------------------> R' (-5, 5)

A(-4, -2) -----------------> A' (-20, -10)

The circumference is 15.996 cm

Given the area of the circle as

This means:

Now that the radius has been obtained, the diameter of a circle is twice the radius, therefore

Juan bought 4.5 lbs for $7.98 per lb

This implies that 1 lb is sold at the rate of $7.98

1 lb -------- $7.98

4.5lb ------ $x

Introduce cross multiplication

1 * x = 7.98 x 4.5

x = $35.91

Therefore, 4.5lbs is sold at the rate of $35.91

The tax sales is 6%

Total amount = original price + 6% of original price

Total amount = 35.91 + 6/100 x 35.91

= 35.91 + 0.06 x 35.91

= 35.91 + 2.1546

= $38.0646

The total amount Juan paid is $38.0646

Answer:

Step-by-step explanation:

Answer:

[tex]f(2)=0[/tex]

[tex]f\left(\dfrac{1}{2}\right)=\dfrac{3}{2}[/tex]

[tex]f(-2)=4[/tex]

Step-by-step explanation:

Given function:

[tex]f(x)=-x+2[/tex]

To find f(2), substitute x = 2 into the given function:

[tex]\begin{aligned}x=2 \implies f(2)&=-(2)+2\\f(2)&=-2+2\\f(2)&=0\end{aligned}[/tex]

To find f(1/2), substitute x = 1/2 into the given function:

[tex]\begin{aligned}x=\dfrac{1}{2} \implies f\left(\dfrac{1}{2}\right)&=-\left(\dfrac{1}{2}\right)+2\\f\left(\dfrac{1}{2}\right)&=-\dfrac{1}{2}+2\\f\left(\dfrac{1}{2}\right)&=\dfrac{3}{2}\end{aligned}[/tex]

To find f(-2), substitute x = -2 into the given function:

[tex]\begin{aligned}x=-2 \implies f(-2)&=-(-2)+2\\f(-2)&=2+2\\f(-2)&=4\end{aligned}[/tex]

log 8 + log 3

log ((8)(3)) (Using the product rule of logarithms)

log (24) (Multiplying)

The answer is log(24)

Garden measures:

Width(w) : 35 feet

Length(L) : 44 feet

Then, add the measures of the path

35+3 = 38

44+3 =47

Apply the perimeter formula:

P = 2w+ 2L

Replace:

P = 2(35)+2(44) = 70+88=158

Dan needs 158 feet of fencing material to enclose the garden and path.