what’s the answer for each question? number 1 and number 2 are separate.

The length in each circle is:

(a) CD = 19.5 units

(b) UZ = 12.8 units

(a) The Intersecting Secant-Tangent Theorem states that "if two secant lines intersect outside a circle, and a tangent line is drawn from the point of intersection to the circle, then the product of the lengths of the two secant segments is equal to the square of the length of the tangent segment".

Using the theorem, we have:

EC * ED = EG²

6.5 * ED = 13²

6.5ED = 169

ED = 169/6.5

ED = 26 units

ED = EC + CD

26 = 6.5 + CD

CD = 26 - 6.5

CD = 19.5 units

(b) The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".

Using the theorem above, we can say:

UZ * UW = UX * UY

UZ * 40 = 8 * 64

40UZ = 512

UZ = 512/40

UZ = 12.8 units

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Answer:

  right from the y-axis

Step-by-step explanation:

The ordered pair (3, 4) is understood to be the (x, y) coordinates of the point Paul wants to plot.

__

The x-coordinate (3) is the number of spaces the point lies to the right of the y-axis.

The y-coordinate (4) is the number of spaces the point lies above the x-axis.

__

If Paul is moving 3 spaces from the y-axis, he will be moving to the right to get to where he will plot the point.

Answer:

$ 1.95 per pencil

Step-by-step explanation:

16 - 6.25 = 9.75

9.75 / 5 = 1.95

The order of the given fractions will be 5/3>3/2>5/6.

What exactly is a fraction?

A fraction is a mathematical term that represents a portion or part of a whole. It represents the equal parts of the whole. A fraction has two components: the numerator and the denominator. The top number is referred to as the numerator, while the bottom number is referred to as the denominator. The denominator describes the total number of equal parts in a whole, whereas the numerator defines the number of equal parts taken.

5/10, for example, is a fraction.

In this case, 5 is the numerator and 10 is the denominator.

Now,

Given fractions are 5/6 ,5/3,  3/2

lets make the denominator same

Divide and multiply fraction 2 and 3 by 2 and 3 respectively

then fractions are 5/6, 10/6, 9/6

so, the order will be 10/6>9/6>5/6 i.e. 5/3>3/2>5/6

hence,

           The order of the given  fractions will be 5/3>3/2>5/6.

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Answer:

n=6

Step-by-step explanation:

\(\frac{1}{2} n=3\)

Multiply both sides by 2

2*1/2n=3*2

Simplify;

n=6

Answer: n=6

Step-by-step explanation:

6*1/2=3 so this is y n=6.

Answer:

The required expression is: \(y = 5 + 2.50b + 2a\)

Step-by-step explanation:

Given

\(Entry = \$5\)

\(Blueberry = \$2.50\)

\(Apple = \$2\)

Required

Write an expression for this scenario

If 1 pound of blueberry cost $2.50

then b pounds = 2.50 * b

If 1 pound of apple cost $2

then a pounds = 2 * a

The required expression (y) is then calculated as

\(y = Entry\ Fee + Blueberry = Apple\)

\(y = 5 + 2.50 * b + 2 * a\)

\(y = 5 + 2.50b + 2a\)

Hence, the required expression is: \(y = 5 + 2.50b + 2a\)

Answer:

a). r = \(\frac{6}{7}\)

b). At least 5 terms should be added.

Step-by-step explanation:

Formula representing sum of infinite geometric sequence is,

\(S_{\inf}=\frac{a}{1-r}\)

Where a = first term of the sequence

r = common ratio

a). If the sum is seven times the value of its first term.

    \(7a=\frac{a}{1-r}\)

    \(7=\frac{1}{1-r}\)

    7(1 - r) = 1

    7 - 7r = 1

    7r = 7 - 1

    7r = 6

    r = \(\frac{6}{7}\)

b). Since sum of n terms of the geometric sequence is given by,

    \(S_{n}=\frac{a(1-r^{n})}{1-r}\)

If the sum of n terms of this sequence is more than half the value of the infinite sum.

\(\frac{a[1-(\frac{6}{7})^{n}]}{1-\frac{6}{7}}\) >  \(\frac{7a}{2}\)

\(\frac{1-(\frac{6}{7})^{n}}{1-\frac{6}{7}}> \frac{7}{2}\)

\(\frac{1-(\frac{6}{7})^{n}}{\frac{1}{7}}> \frac{7}{2}\)

\(1-(\frac{6}{7})^{n}> \frac{7}{2}\times \frac{1}{7}\)

\(1-(\frac{6}{7})^{n}> \frac{1}{2}\)

\(-(\frac{6}{7})^{n}> -\frac{1}{2}\)

\((\frac{6}{7})^{n}< \frac{1}{2}\)

\((0.85714)^{n}< (0.5)\)

n[log(0.85714)] < log(0.5)

-n(0.06695) < -0.30102

n > \(\frac{0.30102}{0.06695}\)

n > 4.496

n > 4.5

Therefore, at least 5 terms of the sequence should be added.

According to the information, we can infer that the area of this polygon is 34 units².

To find the area of the figure we must graph it and divide it into different segments. Then we find the area of all the segments and add them to get the total area.

Rectangle 1

6 * 3 = 18

Rectangle 2

2*4=8

Triangle 1

2 * 4 / 2 = 4

Triangle 2

2 * 4 / 2 = 4

Total Area

18 + 8 + 4 + 4 = 34

Based on the above, we can infer that the total area of the polygon is 34 ² units.

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Answer:

4.5

Step-by-step explanation:

that is

their rates =1/6, 1/3 respectively

total =1/2

if 1/2=9

1= 9/2

= 4.5

We want to find the rate at which Aaron and Ana work together, we will find that when working together they can paint 1 door in 2 hours.

We know that Aaron can paint a door in 6 hours and Ana can paint the same door in 3 hours. The rates are just defined as the number of doors painted over time, so we get:

When they work together the rates just add up, so we get:

R =   (1 door/ 6h) +  (1 door/ 3h) =  (1 door/ 6h) +  (2 door/ 6h)

  = (3 doors/6 hours) = (1 door/ 2 hours)

This means that, working together, they can paint 1 door in 2 hours.

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Answer:

the answer is 100

Step-by-step explanation:

the number greater than 2 : 3,4,5,6

so 4/6 x 150 = 2/3 x 150 = 100

Answer:

Always

Step-by-step explanation:

We know that,

As every natural number n be represented in a rational form: n/1, any natural number can be represented in the form p/q, where q≠0. Hence, all natural numbers are rational numbers.

The correct answer is C) f(x) = 5 cos 2/3 x, as it has an amplitude of 5 and a period of π/3. To determine which function has an amplitude of 5 and a period of π/3, we need to analyze the properties of the trigonometric functions presented in the options.

The general form of a cosine function is f(x) = A cos(Bx), where A represents the amplitude and B represents the frequency or period of the function.

Option A) f(x) = 5 cos 6x: This function has an amplitude of 5, but its period is 2π/6, which is not equal to π/3. So, this option is not the correct answer.

Option B) f(x) = 1/5 cos 6x: This function has an amplitude of 1/5, which is not 5 as required. Therefore, this option is not the correct answer.

Option C) f(x) = 5 cos 2/3 x: This function has an amplitude of 5, which matches the given condition. Moreover, its period is 2π/((2/3)x) = π/3, which is the desired period. Hence, this option satisfies both conditions.

Option D) f(x) = 3 cos 5x: This function has an amplitude of 3, which is not 5 as required. Thus, this option is not the correct answer.

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Answer:

119/139

Step-by-step explanation:

First, find the total amount of candies:
42 + 45 + 20 + 32 = 139

Then, add up all the candies that are not yellow:
42 + 45 + 32 = 119

Divide the not yellow candies by the total:
119/139

The expected number of coupons that will be redeemed is 0.96.

Given data:

To find the expected number of coupons that will be redeemed, multiply the probability of redemption for a single coupon by the number of coupons distributed.

Given that 16% of $10-off coupons delivered by mail are redeemed, the probability of redemption for a single coupon is 0.16.

Since six customers are randomly selected and mailed coupons, the number of coupons distributed is 6.

Therefore, the expected number of coupons that will be redeemed is:

Expected number of redeemed coupons = Probability of redemption * Number of coupons distributed

= 0.16 * 6

= 0.96

Hence, the expected number of coupons is 0.96.

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Answer:

3 + 6m

Step-by-step explanation:

If you are just trying to get a simplified term, then follow these steps.

10 - (6m + 7)

10 - 7 + 6m

3 + 6m

Answer:

The temperature in °C is 35.

Step-by-step explanation:

To calculate the temperature in degree Celsius we need to use the following equation:

\(^{\circ} C = (^{\circ} F - 32) \times \frac{5}{9}\)    (1)

The given equation has an error. Equation (1) is the correct one.

Hence, the conversion of 95 °F to °C is:

\(^{\circ} C = (95 - 32) \times \frac{5}{9} = 35\)

Therefore, the temperature in °C is 35.

I hope it helps you!        

The value of x will be 18.67 for the given data of the triangle.

We have,

Thale's theorem:

When a line parallel to one side of a triangle intersects the other two sides in distinct points, the other two sides are divided in the same ratio.

Given that the sides of the triangle are divided into two parts,

For the left part the parts will be x and x + 7 for the right side the parts will be 16 and 22.

The ratio will be the same according to Thale's theorem. The value of x will be calculated as:-

x / ( x + 7 ) = 16 / 22

22x = 16x + 112

6x = 112

x = 112 / 6

x = 18.67

Therefore, the value of x will be 18.67.

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complete question;

Find the values of x and y. Find value of x.

Answer:

1.8

Step-by-step explanation:

Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

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Answer:

(x-5)(x+5)

Step-by-step explanation:

x^2 -25

We can rewrite this as the difference of squares

x^2 - 5^2

(x-5)(x+5)

Answer:

B

Step-by-step explanation:

In order to combine like terms, they must share the same variable. We can't combine things 9y and 3p because they contain two different variables. On the other hand, 7r and r work because there is only one. 7r and r combine to 8r+2

The correct graph of the inequality -0.4x - 2 < - 1.2 is option 2.

Equation containing a relational operator and a linear expression is known as a linear inequality. In a coordinate plane or space, regions that satisfy a linear inequality are defined. A linear inequality defines a half-plane in two dimensions, which, depending on the inequality, can be either above or below a line. A linear inequality defines a half-space in three dimensions, which, depending on the inequality, is either above or below a plane. The goal of optimization problems is to determine the maximum or minimum value of a linear function under a set of constraints, which are typically represented by linear inequalities.

The given inequality is -0.4x - 2 < - 1.2.

-0.4x - 2 < - 1.2

Adding 2 on both sides of the equation we have:

-0.4x < -1.2 + 2

-0.4x < 0.8

-x < 2

x > -2

Hence, the correct graph of the inequality is option 2.

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Answer:

17

Step-by-step explanation:

3(5)+2=17

Answer:

17

Step-by-step explanation:

3x+2   substitute 5 for x

3(5) +2 distribute

15+2 solve

17

Answer:

80.4

Step-by-step explanation:

Answer:

Fails the true premises test and fails the proper form test

Explanation:

A valid argument must pass the true premises test and the proper form test.

True premises test checks to see if what the premises is saying is true about the world, example- pigs do not have wings and so the argument fails the true premises test. Proper form test assumes the premises is true and then checks to see if a valid conclusion was drawn based on the premises(even though it might fail the true premises test and may not be true about the world)

Answer: -2 is the slope

(0,0) (1,4) (rise over run) *Y2 - Y1/X2 - X1*

X1= 0

Y1= 4

X2= 1

Y2= 2

2-4= -2

1-0= 1

-2/1= -2

the slope is -2

Answer:

Step-by-step explanation:

To find the volume of the composite figure, we need to find the volumes of the half-sphere and the cylinder separately, and then add them together.

The volume of the half-sphere is given by the formula:

V_half_sphere = (2/3)πr^3

where r is the radius of the half-sphere. In this case, the radius is 3 cm, so we have:

V_half_sphere = (2/3)π(3)^3

V_half_sphere = (2/3)π(27)

V_half_sphere = 18π

The volume of the cylinder is given by the formula:

V_cylinder = πr^2h

where r is the radius of the base of the cylinder, h is the height of the cylinder. In this case, the radius is 3 cm and the height is 10 cm, so we have:

V_cylinder = π(3)^2(10)

V_cylinder = 90π

To find the volume of the composite figure, we add the volumes of the half-sphere and the cylinder:

V_composite = V_half_sphere + V_cylinder

V_composite = 18π + 90π

V_composite = 108π

Therefore, the exact volume of the composite figure is 108π cubic centimeters.

Answer:

the correct choice is B

Step-by-step explanation:

4 goes into 20 5 times and 20 goes into 100 5 times as in 20x5=100 therefore it is 20%

The probability of randomly selecting a cream-filled chocolate is option (B) 4/20 = 20%.

Probability is the ratio of the fovourable outcome to the total outcomes.

Total number of chocolates in the box is 20 and total number of cream-filled chocolates are 4.

Favourable number of outcomes is cream-filled chocolate i.e., \(4\)

Total number of outcomes are \(20\)

Probability of randomly selecting a cream-filled chocolate is-

\(P=\dfrac{4}{20}\times 100\\ \text { }=20\%\)

As a result, option B is the correct answer.

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Answer: d

Step-by-step explanation: