Triangle 1 has vertices at (J,K), (L,M), and (N,P).

Triangle 2 has vertices at (J,−K), (L,−M), and (N,−P).

What can you conclude about triangle 2?

Answer:

>

Step-by-step explanation:

Absolute value means whatever is inside of it is always positive so 15 is greater than -12.

Answer:

2, 8, 32, 128

Step-by-step explanation:

Hey there! You would multiply it by four, each time.

~I hope I helped you! :)~

Answer:

Explanation:

15 < 16+30

16 < 15+30

30 < 16+15

The value of exponential function is f(-1.5) is 1.542 (approx.)

Given that f(x)f(x) is an exponential function where

f(-2.5)=1f(−2.5)=1 and f(3.5)=15f(3.5)=15, then we need to find the value of f(-1.5)f(−1.5).

Let f(x)f(x) be an exponential function.

Let us suppose the equation for f(x) is given by

f(x) = ab^x where a is a constant of proportionality (also called the initial value) and b is the base of the exponential function.

Putting the given values in the above equation, we have1 = ab^(-2.5) ......(i)

and 15 = ab^(3.5) .......(ii)

Divide equation (i) by equation (ii), we get

1/15 = b^(3.5+2.5) => b = (1/15)^(1/6) = 0.802

The equation for f(x) can now be written as

f(x) = a(0.802)^x

Putting x = -1.5 in the above equation, we have

f(-1.5) = a(0.802)^(-1.5)f(-1.5) = 1(0.802)^(-1.5)f(-1.5) = 1.542 (approx.)

Thus, the value of f(-1.5) is 1.542 (approx.)

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Answer:

Step-by-step explanation:

The amounts are x (me) and y (sister).

If I give my sister 5 dollars, then we will have the same amount of money:

If she gives me 8 dollars, then I'll have twice as much money as she has:

Compare the equations and solve for y:

Find x:

Answer: I think the answer is.  x=y*z I dont know what the verbles are but thats what I got. ANd can you zoom in a bit?

Step-by-step explanation:

Answer:

y=-1/4x+4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-8)/(-4-(-16))

m=-3/(-4+16)

m=-3/12

m=-1/4

y-y1=m(x-x1)

y-8=-1/4(x-(-16))

y-8=-1/4(x+16)

y-8=-1/4x-16/4

y-8=-1/4x-4

y=-1/4x-4+8

y=-1/4x+4

The lowest temperature is usually around 3 degrees Celsius (3°C), and the highest temperature is around 18 degrees Celsius (18°C).

The temperature is typically halfway between the daily high and daily low at both 10 a.m. and 10 p.m. Additionally, the highest temperatures are usually in the afternoon.

During the morning, the sun starts to warm up the atmosphere, causing the temperature to rise from its lowest point. By 10 a.m., the temperature has increased but is not yet at its peak.

Similarly, during the evening, the sun starts to set, resulting in a gradual decrease in temperature from its highest point. By 10 p.m., the temperature has dropped but is not yet at its lowest point

The temperature at 10 a.m. and 10 p.m. is typically halfway between the daily high and daily low because it represents the transition period between the warmest and coolest parts of the day.

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Answer:

3/5

Step-by-step explanation:

3 divided by 5 is 0.6, which translates to 60%.

55.5% < 60%

Answer:

3/5 is the greater .

I hope it will help you. Have a great day ahead.

Step-by-step explanation: I hope this helps.

Answer:

Answer:

5:05 pm

Step-by-step explanation:

6:30 pm - 1:25 = 5:05 pm

spended= hour 25 minutes

left= 6:30 PM

the time he went to the library.

to find the time he went to the library just find the difference.

\(1830 \: hours - 1 \: hr \: 25 \: min\)

\( = 1705 \: hours\)

therefore, he went to the library at 05:05 PM.

The approximate circumference of a circle with a diameter of 10 inches is 31.42 inches.

To determine the circumference of a circle, we can use the formula C = πd, where C represents the circumference, π (pi) is a mathematical constant approximately equal to 3.14, and d is the diameter of the circle. Given that the diameter is 10 inches, we substitute this value into the formula:

C = 3.14 * 10

Calculating this expression, we find:

C ≈ 31.42 inches

Therefore, the approximate circumference of the circle is 31.42 inches. It is important to note that the units of measurement are crucial in providing an accurate answer, so we include "inches" to denote the unit of measurement.

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The average collection period for accounts receivable in days for Blue Spruce Corp. is approximately 59.9 days.

To calculate the average collection period, we need to determine the average accounts receivable balance. We can do this by adding the beginning and ending accounts receivable balances and dividing the sum by 2. In this case, the average accounts receivable balance is ($82,800 + $45,600) / 2 = $64,200.

Next, we need to divide the net sales by the average accounts receivable balance and multiply the result by 365 (the number of days in a year). This gives us ($624,000 / $64,200) * 365 = 3.579 * 365 ≈ 1,306.135.

Therefore, the average collection period for accounts receivable is approximately 59.9 days. This means it takes Blue Spruce Corp. around 59.9 days, on average, to collect payment from its customers. A lower average collection period is generally preferable, as it indicates quicker cash flow and better liquidity for the company.

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The completed table for the rule y = x+6 for given values of x (2,0,4) will have the corresponding values of y as 10, 8, 12 respectively.

Function is a type of relation, or rule, that maps one input to specific single output.

You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

For this case, we're given the rule y = x + 8

The table given is:

 x     y

 2

 0

 4

Evaluating 'y' for the given values of x from the table according to the rule 'y  = x + 8', we get:

y = x + 8

y = 2 + 8

y =10

y = x + 8

y = 0 + 8

y =8

y = x + 8

y = 4 + 8

y =12

Thus, the completed table would be:

 x     y

 2     10

 0      8

 4      12

Thus, the completed table for the rule y = x+6 for given values of x (2,0,4) will have the corresponding values of y as 10, 8, 12 respectively.

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The number of terms in the expression, 6 + 2 x - 4 y + 5 z is 4 terms.

In the expression 6 + 2x - 4y + 5z, the number of terms is four, not the number of signs. The terms in this expression are:

Each term is separated by an operator (either addition or subtraction), which is represented by a sign. Therefore, the expression contains three addition signs and one subtraction sign.

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The full question is:

How many terms are in the following expression 6 + 2 x - 4 y + 5 z

Answer:

b^8

Step-by-step explanation:

When multiplying exponents with the same base, we can add the exponents

b^2 * b^6

b^ (2+6)

b^8

Answer:b8 x

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "b6"   was replaced by   "b^6".  1 more similar replacement(s).

STEP

1

:

Multiplying exponential expressions

1.1    b2 multiplied by b6 = b(2 + 6) = b8

Final result :

 b8x

Answer:

x = 68°

Step-by-step explanation:

∠ DCB = ∠ EDC = 27° ( alternate angles )

Thus ∠  ECB = 23° + 27° = 50°

The sum of the 3 angles in a triangle = 180°, thus

x = 180° - (62 + 50)° = 180° - 112° = 68°

Answer:

68°

Step-by-step explanation:

DE ║ BC

So, ∠DBC = ∠ADE = 62° (∵ Corresponding Angles are equal )

In triangle DEC ,

∠EDC+ ∠ECD = ∠AED (∵ Exterior Angle Sum Property of a triangle )

⇒ ∠AED = 23° + 27° = 50°

Now in triangle AED ,

∠EAD + ∠ADE + ∠AED = 180°

⇒ x° + 62° + 50° = 180°

⇒x° = 180° - 112° = 68°

first off, something noteworthy is that we have two angles of 60°, that means that the angle atop is also 60°, so we really have an equilateral triangle, with an altitude or height as shown above, so

\(\textit{height of an equilateral triangle}\\\\ h=\cfrac{s\sqrt{3}}{2}~~ \begin{cases} s=\stackrel{length~of}{a~side}\\[-0.5em] \hrulefill\\ h=4\sqrt{15} \end{cases}\implies 4\sqrt{15}=\cfrac{s\sqrt{3}}{2}\implies 8\sqrt{15}=s\sqrt{3} \\\\\\ \cfrac{8\sqrt{15}}{\sqrt{3}}=s\implies \cfrac{8\sqrt{2\cdot 3}}{\sqrt{3}}=s\implies \cfrac{8\sqrt{2}\cdot \sqrt{3}}{\sqrt{3}}=s\implies 8\sqrt{2}=s \\\\[-0.35em] ~\dotfill\)

\(\stackrel{ \textit{\LARGE perimeter} }{8\sqrt{2}~~ + ~~8\sqrt{2}~~ + ~~8\sqrt{2}}\implies 24\sqrt{2}\)

Answer: 12 oranges

Step-by-step explanation: To fill one glass, Adwoa needs 2 oranges. She made 6 glasses.

1 glass : 2 oranges

6 glasses : x oranges

x = \(\frac{6*2}{1}\) = 12

The PQRS and TSUV are congruent parallelograms, they have the same shape and size. angle PQR is congruent to angle TSU, since they are opposite angles in parallelograms PQRS and TSUV, respectively. so angle TSU in parallelogram TSUV is congruent to angle PQR.

The following are a parallelogram's characteristics:

The two opposing sides are level and parallel.

The opposing angles line up evenly.

The following or adjacent angles are extra.

Every angle will be at a right angle if even one of the other angles is.

PQRS and TSUV are congruent parallelograms, which denotes that their dimensions are the same. The parallelograms' corresponding angles are therefore equal.

Angle PQR is an interior angle in the parallelogram PQRS that is opposite to the adjacent angle PQS, whereas angle UTS is an internal angle in the parallelogram TSUV that is opposite to the adjacent angle TSV.

We can infer that angle PQR and angle UTS are related angles and are hence congruent because PQRS and TSUV are congruent.

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Answer:

A

Step-by-step explanation:

Answer:

1.slope is 2

2.slope is -3/5

3.slope is 1

4.vertical line slope 0 undefined

5.x=-5

6.horizontal line slope 0 undefined

Step-by-step explanation:

Answer:

1) 2 2) -3/5 3) 1 4) Undefined 5) -5 6) 0

Step-by-step explanation:

By using empirical rule, approximately 34% of the students have grade point averages that are greater than 2.11.

The empirical rule, also known as the 68-95-99.7 rule, states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations.

We want to find the percentage of students with a GPA greater than 2.11. To do so, we need to calculate the number of standard deviations that separate 2.11 from the mean of 2.56:z = (2.11 - 2.56) / 0.45 = -1

Here, z represents the number of standard deviations away from the mean. A negative z-value indicates that the value of interest is below the mean.

Now that we have calculated the z-value, we can use the empirical rule to determine the percentage of students with a GPA greater than 2.11. Since the value of interest is below the mean, we need to calculate the percentage of students who fall within one standard deviation below the mean:

68% - 34% = 34%

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Answer:

10) -1/3(x-1)^2

11) 1/3(√-5/3x) +1

12) (3/4x+2)^3-1

13) 2|-3x|

Step-by-step explanation:

We are told that Jason has $325 and that he earns $105 per week. That means that if "w" is the number of weeks then the amount of money he has in total is what he has saved by the product of $105 by the number of weeks. That is, if A is the amount he has, then:

Now, we are asked how many weeks it takes to get to $900. This means that we set A = 900 and solve for "w".

To solve for "w" we first subtract 325 on both sides:

Now we divide both sides by 105

Solving the operations:

Therefore, it takes Jason 5.5 weeks to get to $900

The area of triangle (A) is 210 cm².

What is the area of the triangle and perimeter of the triangle?

If a, b, and c are the sides of the triangle, then

Perimeter of the triangle = (a + b + c) units.

Area of the triangle = \(\sqrt{(s(s - a) (s - b) (s - c)) }\)

The semi-perimeter of the triangle, s = (a + b + c)/2

Let the triangle is ABC,

and AB = 3x - 1, BC = 4x + 1 and AC = 3x.

       Perimeter = 70

       AB + BC + AC = 70

      3x-1 + 4x + 1 +3x = 70

       10x = 70

          x = 7

AB = a = 3x - 1 = 20

BC = b = 4x + 1 = 29

AC = c = 3x = 21

Now semi-perimeter = s = 70/2

                                     s = 35

      Area of the triangle = \(\sqrt{(s(s - a) (s - b) (s - c)) }\) 

                                    \(=\sqrt{35(35-20)(35-29)(35-21)}\\\\\\=\sqrt{35(15)(6)(14)}\\\\=\sqrt{44100}\\\\=210\)

        Area of the triangle = 210 square cm.

Hence, the area of triangle (A) is 210 cm².

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Answer:

$ 6.50

Step-by-step explanation:

Based on the given conditions, formulate 3+2 × 1.75

calculate the first two terms 3+3.5

calculate the first two terms 6.5

Answer: 6.5

The slope is 3/2 and the y-intercept is 0. Then the equation of the line in the slope-intercept form will be y = (3/2)x.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The line passes through the origin. Then we have

0 = m(0) + c

c = 0

And the line passes through (4, 3). Then we have

3 = 4m + 0

m = 3 / 4

The equation of the line is given as,

y = (3/2)x

The slope is 3/2 and the y-intercept is 0. Then the equation of the line in the slope-intercept form will be y = (3/2)x.

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