In the figure, find m∠ABD if m∠ABC = 85° and m∠DBC = 61°.
Question 3 options:

A)

24°

B)

5°

C)

146°

D)

29°

Answer:

The median age is the same for both groups

Step-by-step explanation:

Group A:

37, 36, 32, 41, 42, 36, 44, 45

32, 36, 36, 37, 41, 42, 44, 45

Mean: (32+36+36+37+41+42+44+45)÷8=39.125

Range: 45-32=13

Mode: 36

Median: (41+37)÷2=39

Group B:

26, 40, 38, 36, 42, 40, 40, 36

26, 36, 36, 38, 40, 40, 40, 42

Mean:  (26+36+36+38+40+40+40+42)÷8=37.25

Range: 42-26=16

Mode: 40

Median: (40+38)÷2=39

Only the median in both groups are the same.

Answer:

The median age is the same for both groups

Step-by-step explanation:

I just did the Exam!

Answer:

3.4x7.6 then divide by 2

Answer:

Step-by-step explanation:

the formula of a triangle is

b * h

 2

so 7.6 * 3.4

=25.84/ 2

=12.92 cm²

Answer:

x = 88

Step-by-step explanation:

These angles are same side exterior angles, and when the lines are parallel, same side exterior angles are supplementary

x + 92 =180

Subtract 92 from each side

x+92-92=180-92

x =88

Answer:

[tex]88 \: \: degrees[/tex]

Step-by-step explanation:

[tex]x + 92 = 180 \\ x = 180 - 92 \\ x = 88 \: \: degrees[/tex]

Answer:

Graph C.

Step-by-step explanation:

C works the best when you plot the points on a graph, in reference to the functions provided...

*blue is the G(x) and red is the f(x) I believe*

Have a Great Day!

Answer:

D. Division and Addition

Step-by-step explanation:

Answer:

Step-by-step explanation:

Considering a person peak blood is 0.07

It decrease by 4% every hour

a) Using exponential function

[tex]f(x) = Ca^x[/tex]

where,

a = 1 + r

r = -0.40%

Here,

C = 0.07,

a = 1 - 0.04 = 0.06

[tex]f(x)=0.07(0.6)^x[/tex]

b)

Here the hourly decay factor is 0.6

[tex]B(x)=ca^x\\\\0.07(0.6)^x[/tex]

c) Evaluate

[tex]B(2)=0.07\times (0.6)^2\\\\0.07(0.36)\\\\= 0.0252g[/tex]

0.0252g or 100mL

Answer:

a) Hourly decay factor = 0.6

b) [tex]B(x) = 0.07(0.6)^x[/tex]

c) B(2) = 0.0252

This result means that the blood alcohol level will be 0.0252 (grams per 100 ml) after 2 hours

Step-by-step explanation:

Since the function is an exponential function, it can be modeled as:

[tex]B(x) = C (1 + r)^x[/tex]

Where the peak blood alcohol level, C = 0.07

Since the blood level decreases by 40%(0.4) every hour, r = -0.4

The hourly decay factor is given by a = 1 + r

a = 1 + (-0.4) = 1 - 0.4

a = 0.6

Therefore, the hourly decay factor = 0.6

b) The exponential function is:

[tex]B(x) = Ca^x[/tex]

Where a = 1 + r = 0.6

C = 0.07

[tex]B(x) = 0.07(0.6)^x[/tex]

c) Evaluate B(2)

Substitute x = 2 into the exponential function gotten in part (b)

[tex]B(2) = 0.07(0.6)^2\\B(2) = 0.0252[/tex]

This result means that the blood alcohol level will be 0.0252 (grams per 100 ml) after 2 hours

Answer:

(D)$81

Step-by-step explanation:

Given that the number of purses a vendor sells daily has the probability distribution represented in the table.

Expected Value, [tex]E(x)=\sum_{i=1}^{n}x\cdot p(x)[/tex]

Therefore:

[tex]E(x)=(0X0.35)+(1X0.15)+(2X0.2)+(3X0.2)+(4X0.03)+(5X0.07)\\=0+0.15+0.4+0.6+0.12+0.35\\E(x)=1.62[/tex]

If each purse sells for $50.00, the number of expected daily total dollar amount taken in by the vendor from the sale of purses

=Expected Value X $50

=1.62 X $50

=$81

The correct option is D.

Answer:

first you divide the larger number into its separate parts. Here, 23 becomes 20 and 3.

Next, you multiply each separate part — 20 x 7 and 3 x 7.

Finally, you add all the products together. 140 + 21 equals 161, the product of 23 x 7.

Step-by-step explanation:

Answer: (-29,7) and(19,7)

Step-by-step explanation:

Answer:

The answer is  43.9822972 rad but you could just round and put 43.98

Step-by-step explanation:

Answer:

more than witney

Step-by-step explanation:

Answer:

Step-by-step explanation:

The main equivalence between rectangular and polar forms is

x^2 + y^2 = r^2, where r is the radius.  Next, y = r sin Ф.  Thus,

x^2 + y^2 = r^2 becomes r² = 2·r·sin Ф.

The variable r can be factored out partially:  r = 2·sin Ф

This is the polar form of x^2 + y^2 = 2y.

Answer:

83

Step-by-step explanation:

You are trying to find the score that gives you a specific mean.  A mean is calculated by dividing the sum of the data by the amount of data.  Set up in this order, with x as the fourth score, to find the answer.

[tex]\frac{71+80+86+x}{4}=80\\\frac{237+x}{4} =80\\237+x=320\\x=83[/tex]

The fourth test score must be an 83.

Answer:

83

Step-by-step explanation:

Equation: 71 + 80 + 86 + x / 4 = 80

Add 71, 80, and 86 together.

237 + x = 80

Multiply 4 to both sides (cross multiplying).

237 + x = 320

Subtract 237 from both sides.

x = 83

Answer:

Correct option: d -> 40,320

Step-by-step explanation:

To find all the arrangements of letters in a word where all the letters are different, we just need to calculate the factorial of the number of letters.

The word "grateful" has 8 different letters, so the number of arrangements of letters is:

8! = 8*7*6*5*4*3*2 = 40,320 different arrangements

Correct option: d

Answer: 3

Step-by-step explanation: if you had the histogram..... the first is 14 and the second is 14 too, but the first one you divide by 4 because there are only 4 lines, so that gives you 3.5

The second one you divide by 5

So, 14 divided by 5 is

2.8

If you round both of these you should have around 3

Therefore, the answer is 3

Answer: 20

Step-by-step explanation:

From the question, there are ten kids in a class and when any two meet, each kid says “hi” to the other kid and the answer “hi” follows.

The number hi one would hear before the class starts would be 10 multiplied by 2 because there are 10kids and 2 hi whenever the kids greet.

= 10 × 2

= 20hi

There will be 20 times the word hi would be heard

Answer:

90 times

Step-by-step explanation:

THIS IS CORRECT!!!!!!

Answer:  (-6,7)

Step-by-step explanation:

Tow points, (x1, y1) and (x2, y2) are simetric in a quadratic graph when:

f(x1) = y1 = f(x2) = y2

so y1 = y2

Then if we have the point (2,7) we want to find other point that has the same value for y, this is (-6, 7)

So the correct option is  (-6,7)

Step-by-step explanation:

Step 1:  Answer the question

This algebraic expression is not a polynomial therefore, none of these options match except D.  The reason why it is not a polynomial is because there is a 7^x which is not a polynomial expression.  The expression needs to be expressed as a 7x^2 + 2x + 1.  Therefore, the answer is D.

Answer:  D, none

Answer: 22.2

Step-by-step explanation: You have to add 97, 3, 0, 4, 7 and then then divide the total by how many numbers you added. So for this you would divide the total by 5

Answer:

see below

Step-by-step explanation:

-2x + 9 < x − 9

Add 2x to each side

2x-2x + 9 < 2x+x − 9

9 < 3x-9

Add 9 to each side

9+9 < 3x

18 < 3x

Divide each side  by 3

18/3 < 3x/3

6 < x

Open circle  at 6 line going to the right

Answer:6 to the right of the number line

Step-by-step explanation:I just did this quiz

Answer:

[tex]3 \frac{3}{ 19} [/tex]

C. 0.42 I did this right before the pandemic

Answer:

You have to define when the power should be pushed up using the 'For' statement and let an impulse be sent to the CPU to increase power by 15%

Step-by-step explanation:

We use certain functions in writing computer programs.

For the 'For' statement ; we can define conditions. First Elana would define at what point does she want the player power to get the best power.

For example if she defines that when the player has played for 2hours return an integer 1 for instance.

This value returned will now send a pulse to the CPU to increase its power to 15%.

If the player plays for further 1hour she can define the count to be 10 and so send another pulse to the CPU to increase the processing power by additional 15%

Answer:

the middle. because it'sthe intersection of the circles

Answer:

ll

Step-by-step explanation:

the middle intersection point of i  and just took the quiz

Answer:

50

Step-by-step explanation:

The solution of number is, 200.

We have to given that;

To find a number which is 30% of  number is 60.

Let us assume that,

A number is, x

Hence, We can formulate;

⇒ 60 = 30% of x

⇒ 60 = 30/100 × x

⇒ 60 = 3x / 10

⇒ 600 = 3x

⇒ 3x = 600

⇒ x = 200

Thus, The solution of number is, 600

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ6

Answer:

ABC store

Step-by-step explanation:

The abc store shoes are 18.02

Answer:

Lo-Price Shoes

Step-by-step explanation:

(60.05×30)÷100=

1801.5÷100=

$18.015

60.05-18.015=42.035

$42.035>$38.85

Lo-Price Shoes are still cheaper even with ABC's 30% discount.

Answer:

[tex]-2x^2-4x+2[/tex]

Step-by-step explanation:

[tex](7x^2-2x+1)-(9x^2+2x-1)=\\(7x^2-9x^2)+(-2x-2x)+(1+1)=\\-2x^2-4x+2[/tex]

Hope this helps!

Answer:

c. 133 acres

Step-by-step explanation:

Given: coordinates of the corners of a parcel are (-8, 10), (6, 17) and (2, -4)

To find: area of the parcel

Solution:

Using heron's formula,

area of triangle joining coordinates [tex](x_1,y_1),(x_2,y_2),(x_3,y_3)[/tex] is equal to [tex]\frac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|[/tex]

Let [tex](x_1,y_1)=(-8,10)\,,\,(x_2,y_2)=(6,17)\,,\,(x_3,y_3)=(2,-4)[/tex]

Area of triangle (parcel) [tex]=\frac{1}{2}|-8(17+4)+6(-4-10)+2(10-17)|\\[/tex] [tex]=\frac{1}{2}|-8(21)+6(-14)+2(-7)|\\ =\frac{1}{2}|-168-84-14|\\ =\frac{1}{2}|-266|\\ =133\,\,acres[/tex]

Answer:

20

Step-by-step explanation: