2. Jacquelyn has 50 vocabulary words to study for an exam. She creates a flashcard for each word to study. Day 1 she studies 10 of the flash cards. Day 2 she studies the same 10 cards from the first day along with 5 new cards, for a total of 15 cards. Day 3 she studies the 15 cards she studied on the second day along with 5 new cards, for a total of 20 cards. Jacquelyn continues to increase the number of cards she studies each day by 5.
(a) Write a recursive rule to represent the number of cards Jacquelyn studies on day n.
(b) Write an explicit rule to represent the number of cards Jacquelyn studies on day n.
(c) On which day will Jacquelyn first study all 50 vocabulary cards?

Answer:

so 2x+3x+130=180

so 5x+130=180

5x=50

so 2x =20

3x which is angle a is equal to 30 degree

Answer:

The measure of angle A is 30 degrees.

Step-by-step explanation:

Since all triangles are equal to 180 degrees, you take set up an equation where u add 2x and 3x to get 5x and u add that to 130 and set it equal to 180

2x+3x+130=180 ( combine like terms)

5x=50 (subtract 130 from both sides to isolate our variable which is x)

x=10 (divide both sides by 5 to get rid completly isolate our variable)

Now we know x=10 you can plug that in as our x value so 3x becomes 3*10 which equals 30 which is your answer.

Answer:

-7

Step-by-step explanation:

-9(x+3)=36

-9x-27=36

-9x=36+27

-9x=63

-9x/9=63/9

x=-7

Answer:

11+13

Step-by-step explanation:

because of math boom

check the photos they have the answer

Answer:

Explanation:

7 - 1 = 6

2/3 = 4/6

so

5 - r = 4

r = 5 - 4

r = 1

(1, 1) (7, 5)

Answer:

i think its 28.27

Step-by-step explanation:

Step-by-step explanation:

[tex]v \: = \: pi \: \times \: r {}^{2} \: \times h[/tex]

Volume = 3.14×2.25×4 = 28.26 yd³

Answer:

D,

Step-by-step explanation:

the is the value of b in ax -by =-5

D , cant isolate b

Answer

Step-by-step explanation:

Answer:

30 degrees,30 degrees120, degrees

Step-by-step explanation:

The ratio of the angles is 1:1:4.

Let’s represent the angles by 1x, 1x, and 4x.

The sum of the interior angles of a triangle is 180°.

1x + 1x +4x = 180    Combine like terms.

           6 x = 180    Divide each side by 6

               x = 30°

1x=1*30=30 degrees

1x=1*30=30 degrees

4x=4*30=120 desgrees

Answer:

30, 30, 120

Step-by-step explanation:

Basic properties of a triangle:

The problem:

To solve:

Answer:

C baybee

Step-by-step explanation:

they are the same angle and they are found in the inside making it alternate interior

Answer:

B

Step-by-step explanation:

Answer:

11.31 cm

Step-by-step explanation:

you got the k12 link to

plus you wanna get on my animal crossing island

the dodo code is 98GVY

Answer:

use ratio method but you start with division

Answer:

C) x² = a/b

Step-by-step explanation:

Answer:

x= 35/11

Step-by-step explanation:

steps

35 = 11x

swich sides

11x = 35

Divide both sides by 11

11x/11 = 35/11

simplify

x = 35/11

Answer:

f(x) is another way to write y.

You have y = 6x - 8.

To find the inverse, switch the x and the y and solve for the new y.

Switching gives you x = 6y - 8.

You add 8 to both sides to give you 6y = x + 8.

Divide both sides by 6 gives you the inverse as y =1/6x + 4/3

Step-by-step explanation:

Answer: 26

Step-by-step explanation:

50-24=26

Answer:

7:58

Step-by-step explanation:

The little hour hand is a bit past the 7. The long minute hand is closest to 12, which is 60 minuets. Just look the the mark that the little hand points at.

Answer:

Pvalue of the test is 0.0618 > 0.01, which means that this sample does not provide sufficient evidence at the .01 significance level that the check verification system is effective.

Step-by-step explanation:

A check cashing service found that approximately 5% of all checks submitted to the service were fraudulent.

This means that the null hypothesis is:

[tex]H_{0}: p = 0.05[/tex]

Test if the check verification system is effective:

If it is effective, the proportion will decrease, so we are going to test if after the change the proportion is lower than 0.05, that is:

[tex]H_{a}: p < 0.05[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.05 is tested at the null hypothesis:

This means that

[tex]\mu = 0.05[/tex]

[tex]\sigma = \sqrt{0.05*0.95}[/tex]

After instituting a check-verification system to reduce its losses, the service found that only 45 checks out of a random sample of 1124 were fraudulent.

This means that [tex]n = 1124, X = \frac{45}{1124} = 0.04[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.04 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{1124}}}[/tex]

[tex]z = -1.54[/tex]

Pvalue of the test and decision:

Probability of finding a sample proportion lower than 0.04, which is the pvalue of z = -1.54.

Looking at the z-table, z = -1.54 has a pvalue of 0.0618.

Pvalue of the test is 0.0618 > 0.01, which means that this sample does not provide sufficient evidence at the .01 significance level that the check verification system is effective.

Answer:

Varies

Step-by-step explanation:

What this question is asking you to do is to measure the angle of the blue dot and find the 90 degree angle, so you need to get a protractor and measure the 90 degree angle in order to get the answer

Answer:

Step-by-step explanation:

Question:

Identify the sets that contain 2 as an element. (Check all that apply.)

[tex]A.\ \{2, 3, 4, 5, ...\}[/tex]

[tex]B.\ \{0, 1, 4, 9, ...\}[/tex]

[tex]C.\ \{2, \{2\} \}[/tex]

[tex]D.\ \{\{2\}, \{\{2\}\}\}[/tex]

[tex]E.\ \{\{2\}, \{2, \{2\}\}\}[/tex]

[tex]F.\ \{\{\{2\}\}\}[/tex]

Answer:

[tex]A.\ \{2, 3, 4, 5, ...\}[/tex]

[tex]C.\ \{2, \{2\} \}[/tex]

Step-by-step explanation:

Required

For which of the options is 2 an element

[tex]A.\ \{2, 3, 4, 5, ...\}[/tex]

The elements of this set starts from 2, then 3 and continues as thus.

Hence: 2 is an element

[tex]B.\ \{0, 1, 4, 9, ...\}[/tex]

From the given elements in the above set, 2 is not listed.

Hence: 2 is not an element of this set

[tex]C.\ \{2, \{2\} \}[/tex]

Here, 2 is listed as an element, 2 is also listed as a subset.

Since 2 is listed as an element, then 2 is an element of the set.

[tex]D.\ \{\{2\}, \{\{2\}\}\}[/tex]

Here, 2 is listed as a subset of {2} and also as a subset of subset of {{2}}.

Since 2 is not listed as an element itself, then 2 is not an element of the set.

[tex]E.\ \{\{2\}, \{2, \{2\}\}\}[/tex]

Here, 2 is listed as a subset of {2} and also as a subset of subset of {2,{2}}. This set only contains subsets, i.e. 2 is not listed as a direct element of the set.

Hence: 2 is not an element of the set

[tex]F.\ \{\{\{2\}\}\}[/tex]

Here, 2 is listed as a subset of subset of {{2}}. This set only contains subsets, i.e. 2 is not listed as a direct element of the set.

Hence: 2 is not an element of the set

Answer:

how

Step-by-step explanation:

Eeéeeeeeeeeeé KCc heck is eh KCc we if wd if weed

Answer:

1) A

2) A

3) D

4) B

5) D

Step-by-step explanation:

__________________________________________________________

FACTS TO KNOW BEFORE SOLVING :-

If any 2 parallel lines are cut by a transversal line , then :-

__________________________________________________________

Q1)

According to the figure on the right side of the question paper ,

So,

∠7 + ∠8 = 180°

⇒ ∠2 + ∠8 = 180°    (∵ ∠2 = ∠7)

Hence , we can conclude that interior angles of same side are supplementary angles. So the correct option is A.

Q2)

According to the figure on the question paper ,

So ,

∠1 + ∠3 = 180°

⇒ ∠5 + ∠3 = 180°  (∵ ∠1 = ∠5)

Hence , we can conclude that exterior angles on the same side are supplementary angles. So , the correct option is A.

Q3)

According to the figure , (∠2 , ∠7) & (∠1 , ∠8) are alternate interior angles. But as (∠1 , ∠8) is there as an option , so the correct option is D.

Q4)

According to the figure , m∠1 = 129°.

Also , ∠1 & ∠7 are interior angles on the same side.

⇒ They are supplementary angles.

⇒ ∠1 + ∠7 = 180°

⇒ ∠7 = 180° - 129° = 51°

So , the correct option is B.

Q5)

According to the figure , m∠2 = 3x - 10 and m∠6 = 2x + 20

Also , ∠2 = ∠6 (∵ Corresponding angles are equal)

⇒ 3x - 10 = 2x + 20

⇒ 3x - 2x = 20 + 10

⇒ x = 30

So , ∠2 = 3×30 - 10 = 80° = ∠6 (∵ Corresponding angles are equal)

Hence , the correct option is D.

Answer:

$6,447.60

Step-by-step explanation:

Since Jennifer's monthly payment was $303.73 and she paid this amount each month for 10 years, multiply the monthly payment by the number of months in 10 years, 120, to determine the total amount that she paid.

$303.73×120=$36,447.60

Now, subtract the stated amount of the loan from the total amount paid to find the amount of interest that was paid.

$36,447.60−$30,000=$6,447.60

Therefore, Jennifer paid $6,447.60 in interest through the duration of the loan.

The total amount of interest of loan paid by Jennifer is $ 6447.60

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount of interest of loan paid by Jennifer be = A

So , the equation will be

Now , the amount she took as loan on fixed rate = $ 30,000

The amount of money Jennifer paid per month = $ 303.73

The total duration of time Jennifer paid off the loan = 10 years

10 years = 10 x 12 months

10 years = 120 months

So , the total amount paid back by Jennifer = Amount of money she paid per month x 120 months

Substituting the values in the equation , we get

The total amount paid back by Jennifer = 303.73 x 120

The total amount paid back by Jennifer = $ 36,447.6

Now , the loan interest amount paid by Jennifer A = total amount paid back by Jennifer - amount she took as loan on fixed rate

Substituting the values in the equation , we get

The loan interest amount paid by Jennifer A = $ 36,447.60 - $ 30,000

The loan interest amount paid by Jennifer A = $ 6447.60

Therefore , the value of A is $ 6447.60

Hence , The total amount of interest of loan paid by Jennifer is $ 6447.60

To learn more about equations click :

https://brainly.com/question/19297665

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Answer:

Last option:

(-13, -12, 9)

Step-by-step explanation:

Here you need to look at a number line.

(an infinite line with the zero in the middle, at the left we have the negative numbers which increase to the left, and at the right, we have the positive numbers that increase to the right)

for any two pair of numbers in the number line, the number at the right is larger than the number at the left.

So for example, -10 is at the left of -3

Then:

-10 < -3.

Then a set is ordered from least to greatest if:

first we have the largest negative numbers

then the smaller negative numbers

then the zero (if there is a zero)

then the smaller positive numbers

then the largest positive numbers.

The only set that meets this condition is the last one:

(-13, -12, 9)

Why the others not meet this condition?

in the first one we have -9 after 5, and we know that -9 < 5

in the second one we actually have an order from greatest to least.

in the third one we have -8 at the right of 12, and we know that -8 < 12

Answer:

284.625

Step-by-step explanation:

Arrange the numbers highest to lowest.

Find the middle value in the arrangement.