4^2-(2•2^4)
-16
30
-240
224 ​

Answer:

7 hours

Step-by-step explanation:

2 divided by 14

i hope this helped

Answer:

7 hours

Step-by-step explanation:

Answer: look at the image for the answer and the explanation

Step-by-step explanation:

Answer: 16 degrees

Step-by-step explanation:

Answer:

D.) the ovens temperature after 1 minute.

Step-by-step explanation:

if "x" is the number of minutes that have passed then the output is the temp after the oven was preheating for 'x" amount of minutes

The option that could be the sides of a Right Triangle is 2.5 cm, 6.5 cm, 6 cm   , the correct option is (a) .

In the question ,

it is given that ,

four options are given that have the three sides of the triangle ,

we have to select the sides that forms a right triangle .

If the sides form a right triangle , then

square of the longest side is equal to square of the other two sides .

In option (a) the  sides are given as 2.5 cm, 6.5 cm, 6 cm .

So ,

(6.5)² = 6² + (2.5)²

42.25 = 42.25

Since LHS = RHS ,

So , Yes , the sides given in option (a) forms a right triangle .

Therefore , the correct option is (a) .

The given question is incomplete , the complete question is

Which could be the sides of a right triangle ?

(a) 2.5 cm, 6.5 cm, 6 cm

(b) 2 cm, 2 cm, 5 cm

(c) 1.5 cm, 2.5 cm, 4 cm

(d) 2 cm, 3 cm, 5 cm

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Answer:

Below

Step-by-step explanation:

Value = 33000 ( .88)^t        each year, t , the value is only 88% ( or in decimal:  .88) of the prior year  ( 12 % decrease leaves 88% )

This indicates that Talia earned a total of $131250.

Talia's annual earnings are equal to her regular pay ($65000) plus any commissions she receives. Now, in order to determine the commission, you must determine the 2.65% of her total sales ($2.5 million).

1. Given that this indicates a total of 100%, divide the total sales of 2,500,000 by 100.

2,500,000 ÷ 100 = 25000

2. Increase this amount by the specified proportion (2.65)

25000 x 2.65 = 66250

Add the commission to the annual pay now.

65000 + 66250 = 131250

This indicates that Talia earned a total of $131250.

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Answer:

X =50                  Y is also 50 since they are vertical angles

Step-by-step explanation:

70+ 60 + X = 180  (the 3 angles form a straigh line = 180 )

130 +X =180

X = 180-130

X=50

The target of achieving 88% votes from people is not achieved

Given that the golden party got 12598 votes, the pink party got 9112 votes, the brown party got 20059 votes and the purple party got 4466 votes. and 52,852 people can vote

The total number of people participated in voting=12598 + 9112 + 20059 + 4466

The total number of people who participated in voting=46,235

Percentage of people who participated in voting= \(\frac{46235}{52852}\)×100

The percentage of  people who participated in voting=87.5%

The target is 88%, 88%>87.5% i.e. lesser than the actual voting percentage

Therefore, The target of achieving 88% votes from people is not achieved

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Answer:

nope

+8 is greater than -8

Answer:

x=the total amount of money the manager had in the beginning

y represents the total amount of the money at the end and x represents the total amount of money at the beginning.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

A store manager begins each shift with the same total amount of money.

She keeps $200 in a safe and distributes the rest equally to the 5 cashiers in the store.

This situation can be represented by the function y = (x − 200)5.

y represents the total amount of money at the end and x represents the total amount of money at the beginning.

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Step-by-step explanation:

as always, such a problem has 2 solutions, because the teachers never give any information about the relative positions of the sun, the pole and the tree. is the sun shining first on the pole and then the tree, or is the sun shining first on the tree and then the pole ?

the difference is that in one case the shadow of the tree is 60 - 20 = 40 m, and in the other case it is 60 + 20 = 80 m long.

anyway, for a certain angle of the sunlight we know the shadow of the pole is 60 m long, which creates with the 4.8 m height a right-angled triangle, with the line of sight from the top of the pole to the ground end of the shadow being the Hypotenuse or radius for or trigonometric triangle in a circle.

the shadow length (60 m) is sine of the sunshine angle multiplied by the radius.

the height (4.8 m) is cosine of that sunshine angle multiplied also by that radius.

Pythagoras gets us the radius for the pole triangle :

radius² = 60² + 4.8² = 3600 + 23.04 = 3623.04

radius = sqrt(3623.04) = 60.19169378... m

sin(angle) × radius = 60

sin(angle) = 60/radius = 0.996815279...

angle = 85.42607874...°

the sunshine creates with the tree also a right-angled triangle with the same sunshine angle (the sun is so far away, that the tiny, tiny difference is irrelevant, we can simply assume the angles are equal).

but the shadow is of different length (sin(angle)×radius), which means also the radius for the tree triangle has to be different. and that defines the height of the tree (cos(angle)×radius).

but now we know the angle, and we can reverse calculate the side lengths.

but the question is (as mentioned at the beginning) : is the tree shadow 40 m or 80 m long.

we have therefore 2 solutions for the height of the tree.

1. the shadow is 40 m long.

sin(angle) × radius = 40

radius = 40/sin(angle) = 40.12779585... m

tree height = cos(angle)×radius = 3.2 m

2. the shadow is 80 m long.

sin(angle) × radius = 80

radius = 80/sin(angle) = 80.25559171... m

tree height = cos(angle)×radius = 6.4 m

Answer:

C. 18.75

Step-by-step explanation:

3 + 5 + 3 + 6 = 17

30 + 30 = 1

17 + 1 = 18

45 in decimal form is .75

the answer is 18.75

Answer:

To find the unit rate, which is the rate of travel per unit of time, we can divide the distance traveled by the time taken:

Unit rate = Distance / Time

Unit rate = 300 km / 5 hours

Unit rate = 60 km/h

Therefore, the unit rate of the train's travel is 60 km/h. Answer (a) is correct.

The Sample Variance of this data is 225 sq.cm² and the Probability of all observations that are more than 15 away from the center of the data is 0.05 or 5%.

1) Sample variance of this data:

The 95% of observations will be within 2 standard deviations of the mean. So, 1 standard deviation = (120–60) / 4 = 15 cm. Now, to find the variance, we use the formula:

Sample variance = (standard deviation)²= (15)²= 225 sq.cm².

2) Probability of all observations that are more than 15 away from the center of the data:

The 95% of the observations lie between 60 and 120 cm. So, the interval [75, 105] will contain roughly 68% of the observations. Now, 15 away from the center of the data are 105+15 = 120 and 75–15 = 60.So, the probability of all observations that are more than 15 away from the center of the data will be

P(X < 60) + P(X > 120)

This equals to the area under the curve to the left of 60 plus the area under the curve to the right of 120. This can be found using a standard normal table or calculator which is approximately equal to 0.025 + 0.025 = 0.05 or 5%.

So, the probability of all observations that are more than 15 away from the center of the data is 0.05 or 5%.

Therefore, the sample variance of this data is 225 sq.cm² and the probability of all observations that are more than 15 away from the center of the data is 0.05 or 5%.

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The person who filled out the deposit slip received $88.79 in cash. The correct answer is option c.

To find out how much cash the person who filled out the deposit slip received, we need to fill in the missing amounts on the slip.

First, we need to calculate the subtotal by adding the amounts of the checks and cash:

Subtotal = 15.00 + 62.44 + 27.83 + 45.75

Subtotal = 151.02

Next, we need to determine the amount of cash received by subtracting the subtotal from the total:

Total = Subtotal - cash received

62.23 = 151.02 - cash received

To solve for cash received, we can subtract the total from the subtotal:

Cash received = Subtotal - total

Cash received = 151.02 - 62.23

Cash received = 88.79

Therefore, correct option is C.

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Answer:

It would be 828 inches cubed

Step-by-step explanation:

Because the boxes on top and bottom are both 6x8x6 and the middle portion is 6x7x6

6x8x6=288

6x7x6=252

288+288+252=828

For the square on the diagram, we can see that:

Remember that all the sides of a square have the same length.

Here we know that AC, the diagonal of the square, has a measure of 20 cm.

Then the length of DE, which is half of the diagonal of the square, is half of that, then:

20cm/2 = 10cm

DE = 10cm

DC is one of the sides of the square. Remember that for a square of sidelength S, the diagonal is:

D = √2*S

Then the sidelength is:

S = D/√2

Here we know that the diagonal measures 20 cm, then:

DC = S = 20cm/√2 = 14.14 cm

DC = 14.14cm

Finally, mADE refers to the measure located at the vertex D on the triangle on the angle ADE.

Remember that all the angles of a square measure 90°, and here the ray DE divides that angle in two halves, then mADE = 90°/2 = 45°

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Answer:

3. b

4.b

Step-by-step explanation:

3. -3x<6

change the sign and flip the sign and don't forget to divide

x>-2

4.3x>6

divide  6 by 3

x>2

Answer:

D

Step-by-step explanation:

∠ A is the angle opposite side a

the sum of the 3 angles in the triangle = 180° , that is

∠ A + 75° + 35° = 180°

∠ A + 110° = 180° ( subtract 110° from both sides )

∠ A = 70°

Answer:

5/8 > 1/3

so the answer is B >

Step-by-step explanation:

hope this helps

We have proved that Angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

To prove that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, we can use the following steps:

Step 1: Join points A and C with a line segment. Let's label the point where AC intersects with line segment BD as point E.

Step 2: Since line segment AC is drawn, we can consider triangle ABC and triangle ADC separately.

Step 3: In triangle ABC, we have angle B + angle ABC + angle BCA = 180 degrees (due to the sum of angles in a triangle).

Step 4: In triangle ADC, we have angle D + angle ADC + angle CDA = 180 degrees.

Step 5: From steps 3 and 4, we can deduce that angle B + angle ABC + angle BCA + angle D + angle ADC + angle CDA = 360 degrees (by adding the equations from steps 3 and 4).

Step 6: Consider quadrilateral ABED. The sum of angles in a quadrilateral is 360 degrees.

Step 7: In quadrilateral ABED, we have angle BAD + angle ABC + angle BCD + angle CDA = 360 degrees.

Step 8: Comparing steps 5 and 7, we can conclude that angle B + angle BCD + angle D = angle BAD + angle ABC + angle ADC.

Step 9: Rearranging step 8, we get angle BCD = angle BAD + angle ABC + angle ADC.

Therefore, we have proved that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

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Given: Quadrilateral \(\displaystyle\sf ABCD\)

To prove: \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\)

Proof:

1. Draw segment \(\displaystyle\sf AC\) and extend it to point \(\displaystyle\sf E\).

2. Consider triangle \(\displaystyle\sf ACD\) and triangle \(\displaystyle\sf BCE\).

3. In triangle \(\displaystyle\sf ACD\):

4. In triangle \(\displaystyle\sf BCE\):

5. Since \(\displaystyle\sf \angle BCE\) and \(\displaystyle\sf \angle BCD\) are corresponding angles formed by transversal \(\displaystyle\sf BE\):

6. Combining the equations from steps 3 and 4:

Therefore, we have proven that in quadrilateral \(\displaystyle\sf ABCD\), \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The remote island located approximately 1,200 miles (1,931 km) away from its nearest island neighbor is Tristan da Cunha.

Tristan da Cunha is a remote island in the South Atlantic Ocean.

It is considered one of the most isolated inhabited islands in the world, located approximately 1,200 miles (1,931 km) from its nearest island neighbor, Saint Helena.

The island is part of the British Overseas Territory of Saint Helena, Ascension, and Tristan da Cunha, and it has a small population of around 250 residents.

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(a) The explicit formula for the nth term of the sequence is given by:

\(a_{n} = (-1)^{(n+1)} * (10n - 9)\)

(b) Yes, the sequence converges. To find the limit, we can use the fact that sin(x) is a bounded function, which means that -1 ≤ sin(x) ≤ 1 for all x. Therefore, we have:

-1 ≤ sin(6π/11 - nπ/3) ≤ 1

Multiplying by -1^n, we get:

(-1)^n ≤ (-1)^n * sin(6π/11 - nπ/3) ≤ (-1)^n

Using the squeeze theorem, we can conclude that the limit of (-1)^n * sin(6π/11 - nπ/3) as n approaches infinity is 0. Therefore, the limit of the sequence is 0.

(c) Using linearity of the sum, we have:

∑ n=1 [infinity] (7a_n - 2b_n) = 7∑ n=1 [infinity] a_n - 2∑ n=1 [infinity] b_n

Since ∑ n=1 [infinity] a_n = 2 and ∑ n=1 [infinity] b_n = 4, we have:

∑ n=1 [infinity] (7a_n - 2b_n) = 7(2) - 2(4) = 10

Therefore, the value of the sum is 10.

(d) To show that the series diverges, we can use the alternating series test. For the series ∑ n=1 [infinity] 42(-1)^n, the sequence of partial sums is:

S_1 = 42

S_2 = 0

S_3 = 42

S_4 = 0

...

The sequence of partial sums oscillates between 0 and 42, so it does not converge. Therefore, the series ∑ n=1 [infinity] 42(-1)^n diverges.

For the series ∑ n=1 [infinity] 12(-1)^n, the sequence of partial sums is:

S_1 = 12

S_2 = 0

S_3 = 12

S_4 = 0

...

The sequence of partial sums oscillates between 0 and 12, so it does not converge. Therefore, the series ∑ n=1 [infinity] 12(-1)^n diverges.

For the series ∑ n=1 [infinity] 13(-1)^(n+1), the sequence of partial sums is:

S_1 = 13

S_2 = 0

S_3 = 13

S_4 = 0

...

The sequence of partial sums oscillates between 0 and 13, so it does not converge. Therefore, the series ∑ n=1 [infinity] 13(-1)^(n+1) diverges.

For the series ∑ n=1 [infinity] 39(-1)^(n+1), the sequence of partial sums is:

S_1 = 39

S_2 = 0

S_3 = 39

S_4 = 0

...

The sequence of partial sums oscillates between 0 and 39, so it does not converge. Therefore, the series ∑ n=1 [infinity] 39(-1)^(n+1) diverges.

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Answer:

16

Step-by-step explanation:

-4(16+5)

5+16=20

20 sub -4 = 16

Answer:

The final balance is $4,353.56.

The total compound interest is $1,153.56.

Step-by-step explanation:

Answer:

338.64

Step-by-step explanation:

set up a proportion x/408=83/100 cross multiply you get 338.64

Answer: 338.64 is the Answer.  

Step-by-step explanation:

83 x 408/100  (First do 83 x 408, then divide the answer by 100.)  

= 338.64

Answer:

The tax itself would be $1.44 and the total would be $25.44

Step-by-step explanation:

You multiply 24 by 6% (0.06) and get 1.44 then you add that to the original cost (24) and get $25.44.

Total cost will be $25.44.

What is Percentage?

A relative value indicating hundredth part of any quantity is called percentage.

Given that;

Cost of shirt = $24

Tax = 6%

Now,

The value of tax = 24 × 6%

                         = 24 × 6/100

                         = 1.44

So, Total cost =  $24 + $1.44

                     = $25.44

Thus, Total cost will be $25.44.

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Answer:

y = \(\frac{1}{3}\) x - 10

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = \(\frac{1}{3}\) , then

y = \(\frac{1}{3}\) x + c ← is the partial equation

to find c substitute (12, - 6 ) into the partial equation

- 6 = \(\frac{1}{3}\) (12) + c = 4 + c ( subtract 4 from both sides )

- 10 = c

y = \(\frac{1}{3}\) x - 10 ← equation of line