Solve for m 13x - 10
M
N
7x - 10

Answer:

x = 11

Step-by-step explanation:

Use the Secant-Secant Product Theorem. This theorem states that if two secants intersect in the exterior of a circle, then the products of the lengths of one secant segment and its external segment equal the products of the lengths of the other secant segment and its external segment. \

Use formula : (whole*outside = whole*outside)

1. Formula

WO = WO

2. Substitute variables and setup equation

7(x+7) = 6(6+15)

3. Simplify and remove parentheses

7x+49 = 126

4. Isolate and solve for (x)

7x = 77

x = 11

Answer: 11

Given:

The figure of circle and two secants from an external point.

To find:

The value of x.

Solution:

According to intersecting secant theorem: If two secants (I and II) intersect each other outside the circle then

(I secant) × (external segment of I) = (II secant) × (external segment of II)

Using the intersecting secant theorem, we get

[tex]7(7+x)=6(6+15)[/tex]

[tex]49+7x=36+90[/tex]

[tex]7x=126-49[/tex]

[tex]7x=77[/tex]

Divide both sides by 7.

[tex]x=\dfrac{77}{7}[/tex]

[tex]x=11[/tex]

Therefore, the value of x is 11.

Answer:

240 ml of 1.5% solution and 360 ml of 4% solution should be used.

Step-by-step explanation:

Since a lab assistant needs to create a 600 mL mixture that is 3% hydrochloric acid, and the assistant has solutions of 1.5% and 4% in supply at the lab, to determine the number of milliliters of the 1.5% solution and the number of milliliters of the 4% solution that must be used, the following calculations must be performed:

50 x 0.015 + 50 x 0.04 = 0.75 + 2 = 2.75

40 x 0.015 + 60 x 0.04 = 0.6 + 2.4 = 3

600 x 0.4 = 240

Therefore, 240 ml of 1.5% solution and 360 ml of 4% solution should be used.

Answer:

Median= middle number

(Example) 1, 4 ,6, 7 ,12

6 Would be the median here

so, 3, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8,

5 Is the middle number and the median

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

3, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8

Hope this helped! Please leave any questions or concerns in the comments byeee <3

Answer:

3/32 in³

Step-by-step explanation:

To find the volume of a rectangular prism, multiply the length, width, and height.

[tex]\frac{3}{4} *\frac{1}{2} *\frac{1}{4} =\frac{3}{32}[/tex]

Therefore, the volume is 3/32 in³.

Answer:

116.7

Step-by-step explanation:

Given: p = 6, r = 7

Plug in 6 for p, and 7 for r in the given expression:

9.3p + 8.7

9.3(6) + 8.7(7)

Remember to follow PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction.

First, multiply:

9.3 * 6 = 55.8

8.7 * 7 = 60.9

Next, add:

55.8 + 60.9 = 116.7

116.7 is your answer.

~

Answer:

9.3p + 8.7r when p=6 and r=7 .

substituting value

9.3*6+8.7*7

55.8+60.9

116.70is a required answer.

Answer:

30n

Step-by-step explanation:

-24+54=30×n=30n

I needed 20 more letters so ya lol

Answer:

-6 (4-9n)

Step-by-step explanation:

Answer:

The 90% confidence interval for the percent of all former buyers who would recommend this dealership to their friends is (68.36%, 87.64%).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

A used car dealership surveyed 50 customers who bought a card from them two years ago. 78% of customers said that they would recommend this dealership to their friends.

This means that [tex]n = 50, \pi = 0.78[/tex].

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.78 - 1.645\sqrt{\frac{0.78*0.22}{50}} = 0.6836[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.78 + 1.645\sqrt{\frac{0.78*0.22}{50}} = 0.8764[/tex]

As a percent:

0.6836*100% = 68.36%

0.8764*100% = 87.64%

The 90% confidence interval for the percent of all former buyers who would recommend this dealership to their friends is (68.36%, 87.64%).

Answer:

1/8th chance of spinning yellow

or as a decimal 0.125

Step-by-step explanation:

Hope this helps

Answer:

12000 mg/day or 80 capsules

Step-by-step explanation:

First let's convert 44 lbs to kg. You could divide by 2.205 to get more precise answer but since 44 divides perfectly by 2.2 I don't think it's a coincidence it's meant to be rounded.

44/2.2=20 kg

600*20=12000 mg per day

12000/150=80 capsules

Seems a bit excessive but looking over my process I don't see any mistakes.

Answer:

There is a 10 percent increase

Answer:

[tex]Mean = 6.07[/tex]

[tex]Median = 7[/tex]

[tex]Mode = 7[/tex]

Step-by-step explanation:

Given

[tex]Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9[/tex]

[tex]n = 15[/tex]

Solving (a): The mean

Mean is calculated as:

[tex]Mean = \frac{\sum x}{n}[/tex]

This gives:

[tex]Mean = \frac{5+ 3+ 7+ 8+ 0+ 1+ 0+ 5+ 12+ 10+ 7+ 6+ 7+ 11+ 9}{15}[/tex]

[tex]Mean = \frac{91}{15}[/tex]

[tex]Mean = 6.07[/tex]

Solving (b): The median

Sort the data in ascending order:

[tex]Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9[/tex]

[tex]Sorted: 0\ 0\ 1\ 3\ 5\ 5\ 6\ 7\ 7\ 7\ 8\ 9\ 10\ 11\ 12[/tex]

The median is:

[tex]Median = \frac{n + 1}{2}th[/tex]

[tex]Median = \frac{15 + 1}{2}th[/tex]

[tex]Median = \frac{16}{2}th[/tex]

[tex]Median = 8th[/tex]    

The 8th item on the sorted dataset is 7; So:

[tex]Median = 7[/tex]

Solving (c): The mode

[tex]Mode = 7[/tex]

Because it has a frequency of 3 (more than any other element of the dataset).

Answer:

[tex]x \ge -2[/tex]

Step-by-step explanation:

The "argument" of a square root (the quantity you're finding the square root of) must be greater than or equal to 0.

[tex]f(x)=\sqrt{x-3}[/tex] requires [tex]x-3 \ge 0 \Rightarrow x \ge 3[/tex].

But in the function f(g(x)), the input to  f  is g(x) = x + 5, so x + 5 must be greater than or equal to 3.

[tex]x+5 \ge 3 \Rightarrow x\ge -2[/tex]

Composite functions can be confusing; one reason is the use of the same symbol, x to represent numbers from the domain of EACH function.  See if it helps to call the domain of g by the name x, and the domain of f by some other name.

[tex]f(z)=\sqrt{z-3}\\g(x)=x+5\\f(g(x))=f(x+5)=\sqrt{(x+5)-3}=\sqrt{x+2}[/tex]

The square root will require [tex]x+2 \ge 0 \Rightarrow x \ge -2[/tex]

Answer:

y = -1/2x + 1

Step-by-step explanation:

use 2 points to find slope, i used:  (0,1) (4,-1)

m = 1-(-1) / 0-4

m = 2/-4

m = -1/2

as seen in graph, y-intercept is 1

∴ y = -1/2x + 1

Answer:

y=-2/4x+1

Step-by-step explanation:

the slope would be rise/run and y-intercept is wherever the line crosses the y-axis

Answer:

A.

Step-by-step explanation:

Answer:

B. Frequency

Step-by-step explanation:

I calculated it logically

Answer:

2(1)²−1= 1

2(2)²−1= 7

2(3)²−1= 17

2(4)²−1= 31

2(5)²−1= 49

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD  

Answer:

Its an Isosceles triangle. The two bases are equal

So

x= 180-(62+62)

x=56°.

Answer:

x = 56

Step-by-step explanation:

As you can see two angles are congruent, as the two tally marks suggest so. Therefore not only does the left angle measure 62 but also the right angle does as well. Therefore, further indicating that we are dealing with an isosceles triangle in this scenario. So you would come up with the equation 62(2) + x = 180 because all the angles together add up to get you 180 degrees. So once you say 62 times 2 to get 124 you would subtract that by 180; giving you 56 degrees for x.

Answer:

equation:  C = 15 - R

C = 15 - 7

C = 8

Step-by-step explanation:

Okay first of all stan the karl pfp

Answer:

C) 11

Step-by-step explanation:

The common multiples less than 70 of 6 and 8 are: 24 and 48.  

If there are 24 blue and green (12 each), there would be 46 yellow and red.  Half of 46 is 23, which isn’t an answer choice.

If there are 48 blue and green (24 of each), there would be 22 yellow and red.  Half of 22 is 11.

Answer:

hmax = 628 ft

Step-by-step explanation:

The bullet will reach its maximum height when its velocity h'(t) becomes zero. The equation of motion is

h(t) = -16t^2 + 200t + 3

Taking the derivative of h(t) is

h'(t) = -32t + 200

Solving for t when h'(t) = 0, we get

t = 200/32 = 6.25 s

and this is the time it takes for the bullet to reach its maximum height. Using this value for t into h(t), we get

h = -16(6.25 s)^2 + 200(6.25 s) + 3

= 628 ft

Answer:

64 Shirts

Step-by-step explanation:

For 8 hrs she already earns $48 because 8*6=48. She needs $32 more from shirts to make $80. If its $0.50 per shirt it takes 64 to make $32

Answer:

x+41=-11 I guess

Step-by-step explanation:

Answer:

This is the answer:

330550=

Answer:

(b) 68

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Diagonal:

Diagonals are a line between opposite points in a square.

In this question, it is between A(0,3) and B(5,0), and between (0,0) and (5,3). Both these diagonals have the same measure, and are the distance between these points. So

[tex]D = \sqrt{(5-0)^2+(3-0)^2} = \sqrt{5^2 + 3^2} = \sqrt{34}[/tex]

Then sum of the squares of its both diagonals is units

Both diagonals measure [tex]\sqrt{34}[/tex]. Sum of squares is:

[tex](\sqrt{34})^2 + (\sqrt{34})^2 = 34 + 34 = 68[/tex]

The correct answer is given by option b.

Answer:

240 units²

Step-by-step explanation:

Rectangle = 20x10=200

2 triangles = 2x1/2x4x10=40

200+40=240

Answer:

Option D

Step-by-step explanation:

From the picture attached,

m∠K ≅ m∠C [Given]

m∠L = m∠D [Given]

By AA property of similarity,

Both the triangles ΔDEC and ΔLMK are the similar triangles.

Option D will be the correct option.

Answer:

The mean should be 75.3.

Step-by-step explanation:

[tex]\frac{77+74+78+72+70+85+71+76+80+70}{10}\\\\\frac{753}{10}\\\\\boxed{75.3}[/tex]

Hope this helps!