What is the area of the triangle image above^ ASAP

What Is The Area Of The Triangle Image Above^ ASAP

Answers

Answer 1
The answer to the question is 5
Answer 2
When calculating the area for a triangle, you must ALWAYS use the perpendicular height of the triangle, and in this case , the perpendicular height is five
So, we follow the formula as usual half times base times height
Then we do 1/2*5*2
Which is five

Related Questions


You have 15 cookies. 7 are chocolate chip, 5 are sugar cookies, and 3 are snickerdoodles. You choose one, eat it, and then choose another. What is the probability that you will choose a choc chip cookie, eat it, and then choose another choc chip cookie?

Answers

Answer:

20%

Step-by-step explanation:

Let's break this down into simpler terms.

We know that:

There are 15 total cookies.

7 of them are chocolate chip.

Therefore, the ratio of chocolate chip cookies to total cookies is 7:15.

In other words, there is a 7 out of 15 chance that you will pick a chocolate chip cookie the first time. This percentage is 46.666666666667%.

Now, we have to figure out the percentage after you eat it. The new ratio of chocolate chip cookies to total cookies is 6:14.

In other words, there is a 6 out of 14 chance that you will pick a chocolate chip cookie the second time. This percentage is 42.857142857143%.

Now, we have to combine the two, as the second percentage only happens if the first percentage works (if that makes any sense).

Surprisingly, 42.857142857143% of 46.666666666667% rounds to exactly 0.2, which written as a percent is 20%.

Therefore, there is a 20% chance that you will choose a chocolate chip cookie, eat it, and then choose another chocolate chip cookie.

Answer:

Step-by-step explanation:

you will have diabetes

The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a dinner conversation with a sound intensity of 10–7?
–58 Db
–50 Db
9 Db
50 Db

Answers

Answer:

50 Db

Step-by-step explanation:

we know that

The loudness in decibels is given by the formula

[tex]L = 10log(\frac{I}{I_0})[/tex]

where

I  = sound intensity in watts per square meter (Watts/m^2)

I₀ = reference intensity, = 10^(-12) Watts/m^2

so

For I=10^(-7) Watts/m^2

substitute in the formula above and solve for L

[tex]L = 10log(\frac{10^{-7} }{10^{-12}})[/tex]

[tex]L = 10log(10^{5})[/tex]

[tex]L = 10 (5)=50\ Db[/tex]

Answer:

D. 50 Db on ed

i took the test and i got it right

Find the 35th term in the arithmetic sequence: -10,-14,-18,-22,..

Answers

Answer:

- 146

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 10 and d = - 14 - (- 10) = - 14 + 10 = - 4, thus

[tex]a_{35}[/tex] = - 10 + (34 × - 4) = - 10 - 136 = - 146

Roberto decorates rectangular signs. One sign is 2/3 foot long and 1/4 foot wide. Another sign is 1/2 ft long and 1/3 foot wide. It takes Roberto 3/4 hour to decorate a 1-square-foot sign. both signs square foot sign. What is the total amount of time in hours it takes Roberto to decorate both signs? Show or explain each step to find your answer.​

Answers

Final answer:

To find the total time to decorate both signs, calculate the area of each sign, determine the time needed for each sign, and add the times together.

Explanation:

To find the total time for decorating both signs:

Calculate the area of each sign by multiplying length and width.Determine the time to decorate each sign based on the area.Add the times together to get the total time.

Which of the following triangles are impossible? Check all that apply. a triangle with angles of 28º, 72º, and 80º a triangle with angles of 17º, 57º, and 106º a triangle with angles of 13º, 48º, and 131º

Answers

Answer:

a triangle with angles of 13, 48, and 131 degrees

Step-by-step explanation:

All the triangles equal to 180

As y increases by 4, x increases by 8. Which equation represents this rate of change?

Answers

Answer:

y + 4 = x +8.

y - x = 4

Step-by-step explanation:

This is a rate change equation,

When y increases by 4, the equation to represent that is (y + 4).

When x is also increased by 8, the equation is (x + 8)

Since both equation are dependable,

y + 4 = x + 8

We can further simplify this to

y - x = 8 - 4

y - x = 4.

Need help ples if anyone can

Answers

Answer:

k = 45

angle measures are 45, 90, and 45

Step-by-step explanation:

The sum of angle measures is 180

180 = 45 + 2k + k or

180 = 45 + 3k

subtract 45 from both sides

135 = 3k

Divide by 3

45 = k

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in the triangle = 180°

Sum the 3 angles and equate to 180, that is

2k + k + 45 = 180

3k + 45 = 180 ( subtract 45 from both sides )

3k = 135 ( divide both sides by 3 )

k = 45

------------

Thus 2k = 2 × 45 = 90

The 3 angles are 45°, 45° and 90°

a northbound train left at midnight. three hours later, a southbound train left the same station. at 6 am the two trains were 330 miles apart. find the rate of each train if the northbound train traveled 10 miles per hour faster than the southbound train

Answers

Answer:

Step-by-step explanation:

In this question u can use relative speed of opposite direction

suppose speed of southbound train is x miles per hour so northbound train has speed of x+10 miles per hour.

Speed of tain1+ speed of train 2= Total distance/ total time

(x+10+x)=330/6

2x+10= 330/6

2x= 45

x=22.5 miles per hour (southbound train)

northbound train 22.5+10=32.5 miles per hour

Final answer:

The speed of the southbound train is 30 miles per hour, and the northbound train travels at a rate of 40 miles per hour, which is 10 miles per hour faster as per the problem's information.

Explanation:

The problem involves determining the rate of two trains, where one train travels northbound and the other southbound. The northbound train left at midnight, and the southbound train left three hours later. At 6 am, they were 330 miles apart. We know the northbound train travels 10 miles per hour faster than the southbound train.

Let's designate the speed of the southbound train as x miles per hour. Then the speed of the northbound train is x + 10 miles per hour. The southbound train travels for 3 hours (from 3 am to 6 am), and the northbound train travels for 6 hours (from midnight to 6 am).

The distance covered by the southbound train can be represented as 3x miles, and the distance covered by the northbound train would be 6(x + 10) miles. Together, these distances total 330 miles. Setting up the equation:

3x + 6(x + 10) = 330

Solving for x we get:

3x + 6x + 60 = 330

9x + 60 = 330

9x = 270

x = 30

Therefore, the speed of the southbound train is 30 miles per hour, and the speed of the northbound train is 40 miles per hour (30 + 10).

Gabriel finds some wooden boards in the backyard with lengths of 5 feet, 2.5 feet and 4 feet. He decides he wants to make a triangular garden in the yard and uses the triangle inequality rule to see if it will work. Which sums prove that the boards will create a triangular outline for the garden? Select all that apply. 5 + 2.5 > 4 5 + 2.5 < 4 4 + 2.5 > 5 4 + 2.5 < 5 4 + 5 > 2.5

Answers

Answer:

1)5 + 2.5 > 4

3)4 + 2.5 > 5

5)4 + 5 > 2.5

Step-by-step explanation:

I got this question in edge

The triangular inequality for these dimensions are:

5ft + 2.5ft > 4ft  (true)5ft + 4ft > 2.5 ft  (true)2.5ft + 4ft > 5ft  (true)

Which sums prove that the boards will create a triangular outline?

For a triangle with sides A, B, and C, the triangular inequality says that:

A + B > CA + C > BB + C > A

In this case, we know that the pieces of wood measure:

5ft

2.5ft

4ft

The triangular inequality for these dimensions is:

5ft + 2.5ft > 4ft  (true)5ft + 4ft > 2.5 ft  (true)2.5ft + 4ft > 5ft  (true)

So the 3 inequalities are true, meaning that we can make a triangle with these dimensions.

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How would I answer this?

Answers

Answer:

C = 145.4°

By creating a system of equations (2 equations) with the information from a problem, we can substitute and solve for the missing variables.

Step-by-step explanation:

Linear pairs are found on a straight line, so they total to 180°.

C + D = 180 ......eq'n [1]

C is seven more than four times D can be represented with this equation:

C = 4D + 7 ........eq'n [2]

We can solve by substituting [2] into [1], replacing "C".

C + D = 180

4D + 7 + D = 180

Collect like terms

5D + 7 = 180

Subtract 7 from both sides

5D = 173

Divide both sides by 5

D = 173/5

As a decimal, D = 34.6°.

Using eq'n [2], find C. Substitute the value of "D". Solve.

C = 4D + 7

C = 4(173/5) + 7

C = (692/5) + 7

C = (692/5) + (35/5)         Find a common denominator.

C = (692+35)/5                Combine into numerator.

C = 727/5

As a decimal, C = 145.4°.

There are 3 strawberry yoghurts, 2 peach yoghurts and 4 cherry yoghurts in a fridge.
Kate takes a yoghurt at random from the fridge.
She eats the yoghurt.
She then takes a second yoghurt at random from the fridge.
Work out the probability that both the yoghurts were the same flavour.

Answers

There is a 3/9 = 1/3 chance that she takes 1 strawberry. So there is a 1/3*1/3 = 1/9 chance that she gets two.
Peach== 2/9*2/9 = 4/81 chance of two
And cherry == 4/9*4/9 = 16/81 of two.

So 1/9 + 4/81 + 16/81
= 9/81 + 4/81 + 16/81
= 29/81
= 0,358 chance

The probability is 0.2778

The solution to the problem.

The probability of Kate taking the strawberry yogurt the first time is = 3/9

The probability of Kate taking a peach yogurt for the first time is = 2/9

The probability of Kate taking a cherry yogurt first time is = 4/9

Now for the second time, the total number of yogurts will change from 9 to 8 as any one of the yogurts has been consumed by kate so find the probability of kate eating yogurt will be subtracted by 1 if she had already consumed it once.

The probability of Kate taking the strawberry yogurt the second time is = 2/8

The probability of Kate taking a peach yogurt for the second time is = 1/8

The probability of Kate taking a cherry yogurt a second time is = 3/8

The probability that she consumes the same yogurt consecutively 2 times is = 3/9*2/8+2/9*1/8+4/9*3/8 = 20/72 = 5/18 = 0.2778

Hence the probability of the yogurt being of the same flavor is 0.2778

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Brian says that ABCD is a right triangle. Is he correct? (Do the numbers 1 point
work in the Pythagorean Equation?)

Answers

Answer yes

Step-by-step explanation: because is solved correctly has right angle

Yes, Brian is right. Using the Pythagorean Theorem with the given side lengths shows near-perfect agreement, confirming triangle BCD is a right triangle.

Yes, Brian is correct. Triangle BCD is a right triangle.

We can see this by looking at the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In triangle BCD, the hypotenuse is BD, which has a length of 21.7 meters. The other two sides, BC and CD, have lengths of 13.5 meters and 17 meters, respectively.

Let's plug these values into the Pythagorean Theorem:

BD² = BC² + CD²

21.7² = 13.5² + 17²

469.69 = 182.25 + 289

469.69 = 471.25

As you can see, the left and right sides of the equation are almost equal, with a difference of only 1.56. This small difference is likely due to rounding errors in the given measurements.

Therefore, we can conclude that triangle BCD is a right triangle, and Brian is correct.

Which radical expressions are equivalent to the exponential expression below ? Check all that apply . (13 + 8) ^ (1/2) A. (13 + 8) ^ 2 sqrt(21) . sqrt(13 + 8) E. 10.5

Answers

Answer:

[tex](B)\sqrt{21}\\(C)\sqrt{13+8}[/tex]

Step-by-step explanation:

Given the expression [tex](13 + 8) ^{1/2}[/tex]

Using law of indices: [tex]a^{1/2}=\sqrt{a}[/tex]

[tex](13 + 8) ^{1/2}=\sqrt{13+8}[/tex]

Also:13+8=21

Therefore:

[tex](13 + 8) ^{1/2}=21^{1/2}\\=\sqrt{21}[/tex]

Mean (ul) = 510 and standard deviation (0) = 80
1. What is the probability that a randomly
selected score is greater than 590?
2. A student who scored 750 is in the
percentile.

Answers

Answer:

Step-by-step explanation:

1.  Use a calculator with distribution functions here.  We're interested in finding the area under the standard normal curve to the right of 590, given that the mean is 510 and the standard deviation is 80.  Note that 590 = 510 + 80, meaning that 590 is 1 standard deviation above the mean.

According to the Empirical Rule, 68% of data under a standard normal curve lies within 1 standard deviation of the mean.  The area from the extreme left of this curve to x = 510 is 0.500, and the additional area under the curve from 510 to 590 is 34% of the total area, or 0.340.

Thus, the desired area is 0.500 + 0.340 = 0.840.  This represents the desired probability.

2.  What percentile is a score of 750?  Find the number of standard deviations to the left of 750:

                  750 - 510

z-score = ------------------- = 24/8 = 3.00

                         80

The desired percentile is the area to the left of z = 3.00.  Using a calculator, we find this area to be 0.9987.  That 750 score is in the 99+ percentile.


Which shows a reasonable estimation for 124% of 42 using the distributive property?
A.(120 percent) (40) + (4 percent) (40) = (4,800) + (160) =4,960
B.(100 percent) (40) + (20 percent) (40) = (4000) + (800) = 4,800
C.(100 percent) (40) + (20 percent) (40) = (40) + (8) = 48
D.(100 percent) (40) + (20 percent) (40) = (40) + (80) = 120

Answers

Answer:

c

Step-by-step explanation:

saya fikir jee cara tuu

Answer:

its c

Step-by-step explanation:

lul

Which is a correct statement about the description “six less than the quotient of a number cubed and nine, increased by twelve” when n = 3? Check all that apply.
The correct expression is 6 minus StartFraction n cubed Over 9 EndFraction + 12.
The correct expression is StartFraction n cubed Over 9 EndFraction minus 6 + 12.
One of the steps to determining the value when n = 3 is 3 minus 6 + 12.
One of the steps to determining the value when n = 3 is 6 minus 3 + 12.
The value when n = 3 is 7.
The value when n = 3 is 9.
The value when n = 3 is 15.
The value when n = 3 is 17.

Answers

Answer: b, c, f

Step-by-step explanation: just took test on edge

Help please !!
I really need help










Answers

1. 24.8
2. 7.2
3. 13.7
4.36.2
5.10.3
6. 4 I think I’m not really good at word problems

2x10+7*1/10+3*1/100?

Answers

Answer:

20.73

Step-by-step explanation:

2x10+7*1/10+3*1/100

20 + 0.7 + 0.03

20.73

Answer:

2x^10+73/100

Step-by-step explanation:

pls mark me brainliest

Whats the answer to this?

Answers

51/85


Step by step explanation:

The sine of an angle: the length of the opposite side/the length of the hypotenuse

In this case it’s Sin A so it would be

The side opposite to A is 51

Length of hypotenuse is 81

Therefore 51/81

In a circle, if a diameter bisects a chord (that is not a diameter), then:

Answers

The chord and the diameter are perpendicular.

Suppose that chord AB is bisected by a diameter, which interserct the chord at point C.

Now, focus on triangles OAC and OBC. They have:

OA = OB because they are both radiiOC in commonAC=BC because the diameter bisects the chord

So, they are congruent. In particular, this means that angles ACO and BCO are equal. Since they sum up to 180, each of them must be 90°, so the diameter is perpendicular to the chord.

In a circle, if a diameter bisects a chord (that is not a diameter), then it must also be the perpendicular bisector of that chord.

What is a perpendicular bisector?

A perpendicular bisector is defined as a line that divides an angle into two equal angles. Draw the given angle first, then cut it in half, and then draw the angle's bisector.

If a diameter bisects a chord in a circle, then it must also be the perpendicular bisector of that chord. This is because the diameter is the longest possible chord in the circle, and it passes through the center of the circle, which is the point of concurrency for all the perpendicular bisectors of chords in the circle.

Therefore, it must also be the perpendicular bisector of that chord when the diameter bisects a chord.

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36 - 6s = 48
How do you get the sum for s

Answers

Answer:

48-36=12

-6s=12

12 divided by -6 equals -2

s=-2

S is -2

36 - 6s = 48
-36 -36
- 6s = 12
- 6s/-6 = 12/-6
s = - 2

Solve the equation if 0 degrees<=x<=360 degrees.
tanx=sqrt 3

Answers

Answer:

Step-by-step explanation:

hello :

tanx = √3        0°≤x≤360°

x = 60°

x=240°

X = 60 degrees when tan x = [tex]\sqrt{3\\[/tex]

What is tangent of an angle?

Tangent of an angle is the ratio of the length of opposite side to the length of adjacent side of a right angled triangle.

Tangent of any angle is given by the equation tan x = [tex]\frac{sin x}{cos x}[/tex]

Now, sin 60° = √3/2 and cos 60° = 1/2

So tan 60° = [tex]\frac{\sqrt{3}/2 }{1/2}[/tex] = √3

Hence for 0 degrees≤ x ≤ 360 degrees, if tan x = [tex]\sqrt{3}[/tex], then x = 60°

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What appears to be the solution to the system of equations shown in the graph below?
(Please answer Now)

Answers

Given:

The system of equation is,

[tex]3x-4y = -2[/tex] -------- (1)

[tex]-6x+5y = 7[/tex] -------- (2)

To find the solution.

To solve the system of equation,

From (1) we get, [tex]3x = -2+4y[/tex]

Putting this value into (2) we get,

[tex]-6x+5y = 7[/tex]

or, [tex]-2(3x)+5y = 7[/tex]

or, [tex]-2(4y-2)+5y = 7[/tex]

or, [tex]-8y+4+5y = 7[/tex]

or, [tex]-3y = 7-4[/tex]

or, [tex]-3y = 3[/tex]

or, [tex]y = -1[/tex]

From (1) we get,

[tex]3x = -2+4(-1)[/tex]

or, [tex]3x = -6[/tex]

or, [tex]x = -2[/tex]

Hence,

The solution is [tex]x= -2[/tex] and [tex]y = -1[/tex]

Given vectors ū = -97 + 8) and 3 = 77 +57, find 2ū - 67 in terms of unit vectors and 7.
a. -607 - 147
c. -577-617
b. - 191-617
d. -137-617

Answers

The closest answer choice is (c) -577-617, with a 30-word summary: The expression 2ū - 6v - 67, with ū = <-97, 8> and v = <77, 57>, simplifies to -723i - 393j, matching option (c).

To find 2ū - 6v in terms of unit vectors, we first need to compute 2ū and 6v, and then subtract 6v from 2ū.

Given vectors ū = <-97, 8> and v = <77, 57>, we can find 2ū and 6v as follows:

1. 2ū = 2<-97, 8> = <-194, 16>

2. 6v = 6<77, 57> = <462, 342>

Now, subtracting 6v from 2ū:

2ū - 6v = <-194, 16> - <462, 342> = <-194 - 462, 16 - 342> = <-656, -326>

Now, we need to express this result in terms of unit vectors. The unit vectors in the x and y directions are <1, 0> and <0, 1> respectively.

The final expression is then -656<1, 0> - 326<0, 1>, which simplifies to -656i - 326j, where i and j are the unit vectors in the x and y directions, respectively.

In summary, 2ū - 6v in terms of unit vectors is -656i - 326j.

Now, if we subtract 67 from each component, we get -656 - 67 in the x-direction and -326 - 67 in the y-direction:

-656 - 67 = -723

-326 - 67 = -393

So, the final result is -723i - 393j.

The closest answer choice is (c) -577-617, with a 30-word summary: The expression 2ū - 6v - 67, with ū = <-97, 8> and v = <77, 57>, simplifies to -723i - 393j, matching option (c).

2u - 6v in terms of unit vectors i and j is equal to -24i - 14j.

To find 2u - 6v in terms of unit vectors i and j using the given vectors ū = 9i + 8j and v = 7i + 5j, we perform the following calculations:

1. Multiply vector u by 2:

2u = 2(9i + 8j) = 18i + 16j

2. Multiply vector v by 6:

6v = 6(7i + 5j) = 42i + 30j

3. Subtract 6v from 2u:

2u - 6v = (18i + 16j) - (42i + 30j)

= 18i + 16j - 42i - 30j

= (18i - 42i) + (16j - 30j)

= -24i - 14j

Therefore, 2u - 6v in terms of unit vectors i and j is equal to -24i - 14j.

The probable question maybe:

Given vectors ū = 9i + 8j and v = 7i +5j. find 2u - 6v in terms of unit vectors i  and j.

Please help again...

Answers

Answer:

39

Step-by-step explanation:

The angle marked 39 degrees and <2 are vertical angles and vertical angles are equal.  This means that <2 = 39 degrees

Answer:

39 is correct

To find angle 3 just get 90 - 39= your answer

Step-by-step explanation:

The rule is vertical angles are congruent and same.

Thanks

An Apple iPod sells for $781.29 and has a mail-in rebate for $55.00. Determine the cost after the rebate if an envelope costs $0.13 and a stamp costs $0.40

Answers

Answer:

$725.76

Step-by-step explanation:

Cost of ipod = $781.29

Mail-in rebate = $55.00

Envelope = $0.13

Stamp = $0.40

A mail-in rebate is a mail containing a coupon, receipt or barcode usually in order to receive a certain discount on a purchase.

Cost of the mail-in = $(0.13 + 0.40) = $0.53

Cost of ipod + cost of mail = $781.29 - $0.53 = $780.76

New cost of ipod = (cost of ipod + cost of mail) - amount on mail-in rebate

New cost = $780.76 - $55.00

New cost = $725.76

A egg is dropped from the roof of a building. the distance it falls varies directly with square of the time it falls. if it takes 1/2 second for the egg to fall eight feet, how long will it take the egg to fall 200 feet?​

Answers

Answer

12.5 seconds

Step-by-step explanation:

Find the time it takes the egg to travel in 1 second

1/2 second=8 feet

x 2                x 2

1 second=16 feet

Create a proportion:

(x represents time in this equation)

16 feet :1 second=200 feet: x seconds

-solve with cross products

x=12.5

Answer

12.5 seconds

step-by-step explanation:

divide 200 by eight (which  would give you the abount of half seconds)and divide by 2

A cargo box is 3 meters wide, 5 meters long and 6 meters tall. Find the surface area of the box. This is a rectangular prism.


A. 63 meters squared


B. 14 meters squared


C. 48 meters squared


D. 126 meters squared

Answers

Final answer:

The surface area of the cargo box, which is a rectangular prism with dimensions of 3 meters wide, 5 meters long, and 6 meters tall, is calculated using the formula SA = 2lw + 2lh + 2wh. The correct answer is D. 126 meters squared.

Explanation:

To find the surface area of a rectangular prism, you need to calculate the area of all six faces and sum them up.

The formula for the surface area (SA) of a rectangular prism is SA = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height of the prism.

In this case, the dimensions of the cargo box are 3 meters wide (w), 5 meters long (l), and 6 meters tall (h). Using the formula:

SA = 2lw + 2lh + 2whSA = 2(5m × 3m) + 2(5m × 6m) + 2(3m × 6m)SA = 2(15m²) + 2(30m²) + 2(18m²)SA = 30m² + 60m² + 36m²SA = 126m²

Therefore, the correct answer is D. 126 meters squared.

Lucas has a cup of hot tea. Its temperature is 80°C. To cool it off, Lucas has put an ice cube in the tea. The temperature of the ice cube is
0°C. The cup of tea with the ice cube sits on a table, and the air around it is 25°C. Which of the following correctly describes how heat
will flow in this situation?

a) from the tea to the air
b) from ice to the air
c)from ice to the tea
d) from the air to the tea

Answers

A I believe good luck

The correct answer is c) from ice to the tea.

What is temperature?

Temperature is a degree of hotness or coldness the can be measured using a thermometer. It's also a measure of how fast the atoms and molecules of a substance are moving. Temperature is measured in degrees on the Fahrenheit, Celsius, and Kelvin scales.

Heat always flows from warmer objects to cooler objects, so the heat will flow from the 80°C tea to the 0°C ice cube. The ice cube will absorb the heat from the tea and reduce its temperature, cooling it off. The air around the cup will remain at 25°C and no heat will flow from the tea or the ice cube to the air.

Therefore, option C is the correct answer.

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write a quadratic function in standard form whose graph has a vertex at (7,-3)​

Answers

Answer:

  y = x² -14x +46

Step-by-step explanation:

You want a standard form quadratic equation that has a vertex at (7, -3).

Vertex form

The vertex form of a quadratic equation is ...

  y = a(x -h)² +k . . . . . . . vertex at (h, k), scale factor 'a'

Using a scale factor of 1 and vertex (h, k) = (7, -3), this equation is ...

  y = (x -7)² -3

Standard form

Simplifying this equation gives ...

  y = x² -14x +49 -3

  y = x² -14x +46 . . . . . . . standard form equation

Other Questions
Doreen, a project manager, has been given a limited amount of money to run the new marketing campaign. She was also told that the client wants the campaign ready to roll out in less than two weeks. Doreen is feeling very limited by these constraints and is not sure that it will produce her team's best work. Her supervisor and career mentor, tells Doreen that she is __________.A. feeling the effects of the intuition model.B. being unrealistic with the time frames and money given to her.C. affected by bounded rationality.D. using rational decision making.E. experiencing satisficing. A puddle of water has a thin film of gasoline floating on it. A beam of light is shining perpendicular on the film. If the wavelength of light incident on the film is 560 nm and the indices of refraction of gasoline and water are 1.40 and 1.33, respectively, what must be the minimum thickness of the film to see a bright reflection? 100 nm 200 nm 300 nm 400 nm 500 nm A model of a soccer ball is made up of regular pentagons and hexagons.A soccer ball is made up of regular pentagons and hexagons.The side length of one of the pentagons measures 2 inches and the apothem measures about 1.38 inches. What is the area of one of the pentagons? State your answer to the nearest tenth. square inchesThe side length of one of the hexagons measures 2 inches and the apothem measures about 1.73 inches. What is the area of one of the hexagons? State your answer to the nearest tenth. square inches Due to improved layout and a fresh coat of paint on the walls, your restaurants weekly profit rose from $26,230 to $33,456. What is your percentage growth rate?a)26.2%b)27.5%c)33.4%d)35.1% Help please I need help What is the idea of blank state Which is the correct order of events that occurred after Austria-Hungary declared war on Serbia?Russia mobilized its forces, prompting Germany to declare a two-front war against Russia and France.France mobilized its forces, prompting Germany to declare a two-front war against France and Russia.Germany mobilized its forces, prompting Russia and France to declare war against Germany and Austria-Hungary.Austria-Hungary mobilized its forces, prompting Russia and Germany to declare war against Austria-Hungary and France. 2x+1>5 x=2. True or false? A population of lizards lives in a marsh near the ocean. Members of this population have striped tails that can be yellow, orange, or red. Most members of the population have yellow striped tails. During a storm, four lizards get swept into the ocean on driftwood and end up on an island several miles away. All four of the lizards have orange striped tails. These lizards start a new population on the island, and all members of the new population have orange striped tails. In the example above, the new lizard population had less genetic variation than the original population because of _______. please help! its life skills home and economics Each figure shows an example of energy changing form.List the energy changes that take place in each example Select the three ratios that represent the number of blue marbles to red marbles. Listen to the song Sweet Betsy from Pike. Then, answer these questions: What reasons or motives might she have for making this journey?thats the only one i need help with song is by johnny cash pls hellp i need to know number 7 Imagine that an incident light wave encounters a thin film. Some of that light wave will be reflected off of the top surface of the thin film (call this Wave 1), while the rest will be transmitted through the film. Some of this transmitted light (Wave 2) will reflect off the back surface of the film and move back through the thin film and out into the original medium of the incident light wave. If the thin film has a thickness t, then what is the path length difference between Wave 1 and Wave 2?a) t/4b) t/2c) td) 2t please help guys I'm so lost N office manager receives reports from employees via email. The probability model describes the number of emails the manager may receive in a day. Email Received 0 1 2 3 4 5 P(X) 0.05 0.15 0.35 0.25 0.15 0.05 How many emails would you expect the manager to receive each day? 5.Richard Miyashiro purchased a condominium and obtained a 30-year loan of $196,000 at an annual interest rate of 8.20%. (Round your answers to the nearest cent.)(a) What is the mortgage payment?$ (b) What is the total of the payments over the life of the loan?$ (c) Find the amount of interest paid on the mortgage loan over the 30 years.$ 6.Marcel Thiessen purchased a home for $205,700 and obtained a 15-year, fixed-rate mortgage at 7% after paying a down payment of 10%. Of the first month's mortgage payment, how much is interest and how much is applied to the principal? (Round your answer to the nearest cent.)interest $ applied to the principal $ The Korean Peninsula is divided into two separate countries by the _________. How do the properties of the elements change as you move across a period on a periodic table from left to right?Group of answer choicesA)The elements become more metallic.B)The elements become less reactive.C)The elements have smaller atomic masses.D)The elements become more nonmetallic.