100
0.01
1/10 (10 with exponent of 2)
1/10 X 1/10
-100
-0.01
0.001
10 X 10

PLEASE HELP

The estimate of the number of students studying abroad in 2003 is 169 and the estimate of the number of students studying abroad in 2018 is 433

The function is given as:

y = 123(1.065)^x

Where x represents years from 1998 to 2013

2003 is 5 years from 1998.

This means that

x = 5

Substitute the known values in the above equation

y = 123(1.065)^5

Evaluate the exponent

y = 123 * 1.37008666342

Evaluate the product

y = 168.520659601

Approximate

y = 169

Hence, the estimate of the number of students studying abroad in 2003 is 169

2018 is 20 years from 1998.

This means that

x = 20

Substitute the known values in the above equation

y = 123(1.065)^20

Evaluate the exponent

y = 123 * 3.52364506352

Evaluate the product

y = 433.408342813

Approximate

y = 433

Hence, the estimate of the number of students studying abroad in 2018 is 433

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By using the midpoint formula, we will see that the coordinates of the endpoint G are (-6, 9).

Suppose we have a segment with endpoints (x₁, y₁) and (x₂, y₂), the midpoint of that segment is given by the formula:

( [x₁ + x₂]/2 , [y₁ + y₂]/2)

In this case we know that the midpoint is (-6, -3), one endpoint is H = (-4, 4) and the other endpoint G can be written as (x, y)

Then we will have the equation:

(-6, 3) = ( [-6 + x]/2 , [-3 + y₂]/2)

Then we have two simple equations:

(-6 + x)/2 = -6

-6 + x = -6*2

-6 + x = -12

x = -12 + 6 = -6

x = -6

And:

(-3 + y)/2 = 3

-3 + y = 2*3

-3 + y = 6

y = 6 + 3 = 9

Then the coordinates of endpoint G are (-6, 9)

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Answer:

A

Hope This Helps! :)

Answer:

B. 4 inches

Step-by-step explanation:

(24)(1) / 6 = 4

Answer:

D,

Step-by-step explanation:

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

D , cant isolate b

Answer:

a) 0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces

b) 0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 8.0 ounces and a standard deviation of 1.1 ounces.

This means that \(\mu = 8, \sigma = 1.1\)

(a) If 5 potatoes are randomly selected, find the probability that the mean weight is less than 9.3 ounces?

\(n = 5\) means that \(s = \frac{1.1}{\sqrt{5}} = 0.4919\)

This probability is the pvalue of Z when X = 9.3. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{9.3 - 8}{0.4919}\)

\(Z = 2.64\)

\(Z = 2.64\) has a pvalue of 0.9959

0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces

(b) If 6 potatoes are randomly selected, find the probability that the mean weight is more than 9.0 ounces?

\(n = 6\) means that \(s = \frac{1.1}{\sqrt{6}} = 0.4491\)

This probability is 1 subtracted by the pvalue of Z when X = 9. So

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{9 - 8}{0.4491}\)

\(Z = 2.23\)

\(Z = 2.23\) has a pvalue of 0.9871

1 - 0.9871 = 0.0129

0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces

Answer:

0.02 × 100 = 2

Step-by-step explanation:

move the decimal 2 steps backward according to the numbers of zeros behind the multiplier(100).

0.02 × 100 = 2

please mark brainliest

The exponential function that would model this situation where y is the amount of insulin remaining in the body and x is the time in hours since the medicine was injected is given as follows:

y = 8(0.72)^x.

The insulin is leaving the patient's bloodstream, hence this situation is modeled by a decaying exponential function, which is defined as follows:

y = a(1 - r)^x.

In which the parameters are given as follows:

Considering the dosage, the initial value a is given as follows:

a = 8.

Insulin leaves this patient's bloodstream at a rate of 28% per hour, hence the decay rate is of:

r = 0.28.

Thus the exponential function is defined as follows:

y = a(1 - r)^x.

y = 8(1 - 0.28)^x.

y = 8(0.72)^x.

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\( \textsf{\qquad\qquad\huge\underline{{\sf Answer}}} \)

Let's solve ~

\(\qquad \sf  \dashrightarrow \:(2 {}^{ \frac{2}{x} } ) \sdot(2 {}^{ \frac{4}{x} } ) = 2 {}^{12} \)

\(\qquad \sf  \dashrightarrow \:(2 {}^{ \frac{2}{x} + \frac{4}{x} } ) = 2 {}^{12} \)

\(\qquad \sf  \dashrightarrow \:(2 {}^{ \frac{6}{x} } ) = 2 {}^{12} \)

Now, since the base on both sides are equal, therefore their exponents are equal as well ~

\(\qquad \sf  \dashrightarrow \: \dfrac{6}{x} = 12\)

\(\qquad \sf  \dashrightarrow \:x = \dfrac{6}{12} \)

\(\qquad \sf  \dashrightarrow \:x = \dfrac{1}{2} \)

or

\(\qquad \sf  \dashrightarrow \:x = 0.5\)

Hope you got the required Answer ~

Answer:

Simplify the radical expression. 3√0.125b3 0.5b −0.5b 5b −5b - did not match any documents.

Suggestions:

Make sure all words are spelled correctly.

Try different keywords.

Try more general keywords.

Try fewer keywords.

Step-by-step explanation:

Answer:

54 :/

Step-by-step explanation:

Well if mary ate 9 raisins and Mimi ate 6 times as much you just have to do:

9 x 6 = 54

y = 9 x 6?

Answer:

It represents growth, and the percentage rate of increase is of 8%

Step-by-step explanation:

Exponential equation:

An exponential equation has the following format:

\(A(t) = A(0)(1 + r)^t\)

In which A(0) is the initial amount and r is the rate of change, as a decimal. If positive, it is growth, if negative, it is decay.

In this question:

\(y = 21(1.08)^x\)

So

\(1 + r = 1.08\)

\(r = 0.08\)

Since r is positive, it represents growth, and the percentage rate of increase is of 0.08*100% = 8%

The domain restrictions for (f/g)(x) are (c) x = 0, 6

From the question, we have the following parameters that can be used in our computation:

f(x) = x² - 5x - 6

g(x) = x² - 6x

The composite function (f/g)(x) is calculated as

(f/g)(x) = f(x)/g(x)

substitute the known values in the above equation, so, we have the following representation

(f/g)(x) = (x² - 5x - 6 )/(x² - 6x)

For the domain restriction, we have

x² - 6x = 0

When solved, we have

x =  6 or x = 0

Hence, the domain restrictions for (f/g)(x) are (c) x = 0, 6

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Question

Given f(x) = x² - 5x - 6 and g(x) = x² - 6x, what are the domain restrictions

for (f/g)(x)?

A) x = +6

B) x = 0

C) x = 0,6

D) x = -2,6

Answer:

Option b is the correct answer as both the equations are true for given solution.

Step-by-step explanation:

Given equations are:

-0.1x-0.3y=1.2

0.2x-0.5y=2

We can observe each graph and find the point that is the solution and put the point in the equations to know if that point is the solution

For option A:

(0,4)

Putting x=0 and y = 4 in both equations

\(-0.1(0)-0.3(4)=1.2\\0-1.2 =1.2\\-1.2 \neq 1.2\\0.2(0)-0.5(4)=2\\0-2 = 2\\-2 \neq 2\)

This is not the correct answer as both equations are not true with this solution

For Option B:

(0,-4)

Putting x = 0 and y = -4 in both equations

\(-0.1(0)-0.3(-4)=1.2\\0+1.2 = 1.2\\1.2 = 1.2\\0.2x-0.5y=2\\0.2(0)-0.5(-4) = 2\\2 = 2\)

Both equations are true for (0,-4) hence it is the solution of the system.

For Option C:

(4,0)

\(-0.1(4)-0.3(0)=1.2\\-0.4-0 = 1.2\\-0.4 \neq 1.2\\0.2x-0.5y=2\\0.2(4)-0.5(0) = 2\\0.8 \neq 2\)

Not true for both equations

Hence,

Option b is the correct answer.

Answer:

Solving gives us the result, x = 2, y = -1

Step-by-step explanation:

The system of equations is,

y = 2x-5

y=-2x+3

equating the two equations, we get,

(since y = y)

\(2x-5 = -2x + 3\\4x -5 = 3\\4x = 3+5\\4x=8\\x=8/4\\x=2\)

and then since y = 2x-5

\(y=2(2)-5\\y=-1\)

so, x =2, y = -1

Answer:

2/3

Step-by-step explanation:

Step 1:

4 ( 3x - 2 ) - x = 3x - 4x

Step 2:

12x - 8 - x = - x

Step 3:

11x - 8 = - x

Step 4:

11x = - x + 8

Step 5:

12x = 8

Answer:

x = 2/3

Hope This Helps :)

Answer:

\(\displaystyle{x=\frac{2}{3}}\)

Step-by-step explanation:

\(4(3x-2)-x=3x-4x\\(12x-8)-x=3x-4x\\12x-x-8=3x-4x\\11x-8=3x-4x\\11x-8=-x\\11x=-x+8\\12x=8\)

\(\displaystyle{x=\frac{8}{12}}\)

\(\displaystyle{x=\frac{2}{3}}\)

The correct answer is: O Yes, distance and angle measure are preserved.

When a triangle ABC is reflected across the line y = x, the pre-image and image are congruent.

This is because the line y = x is the perpendicular bisector of the segment joining each corresponding point of the pre-image and image.

Reflection across the line y = x is a type of transformation known as an isometry, which preserves both distance and angle measure.

Here's why:

Distance preservation:

When a point is reflected across the line y = x, the distance between the original point and its reflection remains the same.

This holds true for all corresponding points of the triangle.

Therefore, the distance between any two corresponding points in the pre-image and image triangle will be equal, resulting in distance preservation.

Angle preservation: When a line segment is reflected across the line y = x, the angle between the line segment and the line y = x is preserved. This means that the corresponding angles in the pre-image and image triangle will be congruent.

Since both distance and angle measure are preserved during reflection across the line y = x, the pre-image and image triangles are congruent.

It's important to note that congruence under reflection across a line holds only when the line of reflection is the same for both the pre-image and image.

If the line of reflection were different, the triangles would not be congruent.

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The percent increase of the profit is 15%

In this question, the figures are given as

Profit in March = £2750

Profit in April = £3162.50

The percentage of the increase of the profit is then calculated using the following equation

Increase percentage = (Profit in April - Profit in March)/Profit in March * 100%

Substitute the known values in the above equation, so, we have the following representation

Increase percentage = (3162.50 - 2750)/2750 * 100%

Evaluate

Increase percentage = 15%

Hence, the increase in percentage is 15%

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Answer:

27/30, 15/25, -7

Step-by-step explanation:

id k common sense

The inequalities are given below.

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here: 4 statements and we are required to find the required inequality.

7) 4+6+3=13 & 7+6=13

Thus 4+6+3=13 =7+6=13

8) (r+s)+(t+u)=(u+r)+(t+s)

9)35+(11+8)=54

   8+30+11=49

Thus 35+(11+8)>  8+30+11=49

10) 6+h+20=26+h & 21+6+h=27+h

∴26+h<27+h

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Answer: C

Step-by-step explanation: Since Armand sent m text messages each hour for 5 hours, he sent 5m msgs. Tyrone sent p text messages each hour for 4 hours, he sent 4p msgs. To find the total we add 5m + 4p together.

Would appreciate brainly btw <3

The total number of messages sent will be 5m + 4p. Then the correct option is C.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

On a Saturday afternoon, Tyrone and Armand exchanged p texts per hour for 4 hours and m texts per hour for 5 hours.

Then the expression that represents the total messages is written as,

⇒ 5 × m + 4 × p

⇒ 5m + 4p

The total number of messages sent will be 5m + 4p. Then the correct option is C.

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Step-by-step explanation:

Simple, she found the sum of the interior angles not exterior angles.

The exterior angles of any polygon add up to 360 degrees.

What Cindy did was found the total interior angle measure of a hexagon which is 720

Answer:

\(\large \boxed{\sf \ \ \dfrac{1}{2}\sqrt{(x_1^2+y_1^2)(x_2^2+y_2^2)} \ \ }\)

Step-by-step explanation:

Hello,

This is a right triangle so the area is:

\(\dfrac{1}{2} \left\{ \sqrt{x_2^2+y_2^2} \cdot \sqrt{x_1^2+y_1^2} \right\}\\\\=\dfrac{1}{2}\sqrt{(x_1^2+y_1^2)(x_2^2+y_2^2)}\)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

Alex bought 9 pizzas, each pizza cost $12

Step-by-step explanation:

We know that Alex bought 9 pizzas for a total of $108, we will divide to find the individual cost

108/9

12

el perimetro de la figura en la imagen es 96 centimetros.

Sabemos que para cualquier figura el perimetro se define como la suma de las longitudes de sus lados.

Para la figura en la imagen, el perimetro será:

AH + AB + BC + CD + DE + EF + FG + GH

Para la figura en la imagen, es bastante claro que:

AH = BC + DE + FG

AB = CD + EF + GH

Y tambien podemos ver que:

AH = 33cm

AB = 15cm

Entonces en la formula del perimetro podemos rerescribir:

AH + AB + BC + CD + DE + EF + FG + GH

AH + (BC + DE + FG) + AB + (CD + EF + gH)

AH + AH + AB + AB

33cm + 33cm + 15cm + 15cm = 66cm + 30cm = 96cm

De esta forma, concluimos que el perimetro de la figura en la imagen es 96 centimetros.

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Answer:

A. a = 10

B. m<FNT = 120°

C. m<KTU = 60°

Step-by-step explanation:

A. (7a + 50)° and (14a - 20)° are corresponding angles. Therefore:

(7a + 50)° = (14a - 20)°

Use this equation to find the value of a

7a + 50 = 14a - 20

Combine like terms

7a - 14a = - 50 - 20

-7a = -70

Divide both sides by -7

-7a/-7 = -70/-7

a = 10

B. m<FNT = (14a - 20)° (alternate interior angles are congruent)

Plug in the value of a

m<FNT = 14(10) - 20

m<FNT = 140 - 20

m<FNT = 120°

C. m<KTU + (14a - 20)° = 180° (linear pair)

Plug in the value of a

m<KTU + 14(10) - 20 = 180

m<KTU + 120 = 180

m<KTU + 120 - 120 = 180 - 120

m<KTU = 60°

Answer:

6.15

Step-by-step explanation:

10 gallons is 80/8

1 5/8= 13/8

80 divided by 13 is 6.15384615385 but rounded 6.15

6.15 hours

if its not that then keep rounding to 6.2 or 6hrs

Answer: all are congruent, sorry, don't completely remember this but I tried

Step-by-step explanation: