Luis le dice a su amiga: "Yo tengo ahora el triple de edad que tú tenías, cuando yo tenía la edad que tú tienes ahora". Si entre los dos suman 50 años, ¿cuántos tiene cada uno?

Answer:

I think the table is linear. The total amount after one year is 248 ants.

Step-by-step explanation:

Answer:

80√3c+12√5c⁴

Step-by-step explanation:

You gave 2√10c (4√30 + 3√2c³) so...

1.) Distribute
You will then get 8√300c+6√20c⁴

2.) Simplify the radical expression and you will get
8x10√3c+6x2√5c⁴

3.) Calculate
80√3c+12√5c⁴

And that is your answer

Answer:

80√3c+12√5c⁴

Step-by-step explanation:

2√10c (4√30 + 3√2c³) so first things first:

1.) Distribute

You will then get 8√300c+6√20c⁴

2.) Simplify the radical expression and you will get

8x10√3c+6x2√5c⁴

3.) Calculate

80√3c+12√5c⁴

The population mean pulse is approximately 70.44 beats per minute. The mean pulse of sample 1 is approximately 65 beats per minute.

The mean pulse of sample​ 2, is approximately 73.67 beats per minute.

a. mean = ∑x/n

= 634 / 9

= 70.44

b. The mean of sample 1

= 64 + 65 + 66 / 3

= 195 / 3

= 65

c. the mean of sample 2

= 81 + 67 + 73 / 3

= 221 / 3

= 73.67

In summary,  The population mean pulse is approximately 70.44 beats per minute. The mean pulse of sample 1 is approximately 65 beats per minute. The mean pulse of sample​ 2, is approximately 73.67 beats per minute.

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Complete question

Student

Pulse

Perpectual Bempah

64

Megan Brooks

81

Jeff Honeycutt

67

Clarice Jefferson

68

Crystal Kurtenbach

80

Janette Lantka

70

Kevin McCarthy

73

Tammy Ohm

65

Kathy Wojdya

66

(a) Determine the population mean pulse is approximately ____?__beats per minute.

​(Type an integer or decimal rounded to the nearest tenth as​ needed.)

​(b) Determine the sample mean pulse of the following two simple random samples of size 3.

Sample​ 1: {Perpectual, Tammy Kathy}

Sample​ 2: {Jeff, Megan, Kevin}

The mean pulse of sample 1 is approximately ___?___ beats per minute.

​(Round to the nearest tenth as​ needed.)

The mean pulse of sample​ 2, is approximately ____?__ beats per minute.

​(Round to the nearest tenth as​ needed.)

Answer:

38.3 hours

Step-by-step explanation:

Given data

We have been given the function that describes his pay, which is

y=6.50h

Where h is the number of hours

now we have the amount y= 249

substitute

249=6.50*h

make the subject of the formula

249/6.5=h

h=38.3

Hence he needs to work for at least 38.3 hours

The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin⁡(5x)dx. We are given that y=cos(5x)=π/30y=cos⁡(5x)=π/30 and x=0.055x=0.055.

We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:

Δy≈dy≈dy=-5sin(5x)dx

Plugging in the values of y, x, and dxdx, we get:

Δy≈-5sin(5(0.055))(0.005)≈-0.00679

Therefore, the estimated change in yy using differentials is -0.00679.

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To show that the vectors ⎡⎣⎢121⎤⎦⎥, ⎡⎣⎢131⎤⎦⎥, ⎡⎣⎢141⎤⎦⎥ do not span R3, we need to find a vector that cannot be expressed as a linear combination of these vectors.

One way to do this is to set up a system of equations and see if there is a solution for the coefficients. For example, let's try to express the vector ⎡⎣⎢010⎤⎦⎥ as a linear combination of the given vectors:

a⎡⎣⎢121⎤⎦⎥ + b⎡⎣⎢131⎤⎦⎥ + c⎡⎣⎢141⎤⎦⎥ = ⎡⎣⎢010⎤⎦⎥

This gives us the following system of equations:

a + b + c = 0
2a + 3b + 4c = 1
a + b + c = 0

We can see that the first and third equations are the same, so we only have two independent equations. This means that we cannot solve for all three coefficients, and therefore the vector ⎡⎣⎢010⎤⎦⎥ cannot be expressed as a linear combination of the given vectors.

Therefore, the vectors ⎡⎣⎢121⎤⎦⎥, ⎡⎣⎢131⎤⎦⎥, ⎡⎣⎢141⎤⎦⎥ do not span R3, as there is at least one vector (⎡⎣⎢010⎤⎦⎥) that is not in their span.

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Answer:

5.125 l

Step-by-step explanation:

Answer:

the 2nd option

Step-by-step explanation:

the second option is in standard form (y = ax^2 + bx + c), c gives us the y intercept

Answer:

10

Step-by-step explanation:

P.s. Coefficient always goes before the variable

= 2b + 4

= 2(3) + 4    Substitute b for 3

= 6 + 4

= 10

The effective borrowing cost (EBC) of the given loan with a loan amount of $705,000, a term of 30 years, an interest rate of 3.75%, 1 point discount, and third-party fees of $8,902.35, assuming the loan is held until the end of year 8, is approximately 4.19%.

To calculate the effective borrowing cost (EBC), we need to consider all the costs associated with the loan. The formula for EBC is the annual cost of the loan, including all fees, expressed as a percentage of the loan amount. In this case, we can use a financial calculator to calculate the EBC.

First, we need to calculate the total cost of the loan over 8 years, which includes the interest payments, discount points, and third-party fees. Using the financial calculator, the total cost is approximately $280,184.56.

Next, we need to calculate the annual cost of the loan, which is the total cost divided by the loan amount, and then divided by 8. The annual cost is approximately $12,313.48.

Finally, we calculate the EBC by dividing the annual cost by the loan amount, and multiplying by 100 to get a percentage. The EBC is approximately 4.19%. Therefore, the effective borrowing cost of the given loan is 4.19%.

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Answer:

Graph D

Explanation:

Let m represent the number of members and n represent the number of non-members.

Last Sunday, the number of members with carts was at least twice the number of non-members.

The golf course charges a cart fee of $5 for members and $10 for non-members. The golf course collected at most $300 in cart fees.

Plotting the system of inequalities with m on the x-axis and n on the y-axis, we have the graph below:

The graph that represents the possible solution for the number of each kind of golfer is Graph D.

Answer:

I. 33,56,65

Step-by-step explanation:

____________

Work hard to get all your work done and still have time to study.

Highlight your drive to improve. It is critical that your lecturer recognizes your desire to enhance your course performance. During your meeting, ask the professor for advice on how to enhance future assignments. “I’m really committed to improving my grade in this course,” try stating.

Say what you feel is wrong with your grade calmly and professionally. Present additional examinations and assignments that indicate your abilities, and provide a solution that you believe is feasible. Be persuading and confident, but don’t think you know more or better than your teacher.

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Answer:

b: 3.1

Step-by-step explanation:

because i had to do 18.6 divided by 6 because thats how many 30 minutes are in 3 hours then that was 3.1 so in 30 minutes he could ride 3.1 miles

Using the product rule, we can find the first derivative of g(x) as follows:

g(x) = x sin(x)

g'(x) = x cos(x) + sin(x)

To find the second derivative, we can apply the product rule again:

g'(x) = x cos(x) + sin(x)

g''(x) = (x(-sin(x)) + cos(x)) + cos(x)

      = -x sin(x) + 2cos(x)

Therefore, g'(x) = x cos(x) + sin(x) and g''(x) = -x sin(x) + 2cos(x).

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Answer:

If my cousin gave me $16 ( my real cousins never did T_T) and I am left with $8 while buying a present. The present cost $8...

Wow, I thought I was bad at math

The statement that, to be conservative,  an under-estimate should be used, is True.

A conservative estimate is a prediction or projection that is intentionally lower than what is expected or believed to be the actual outcome. This type of estimate is often used in financial planning or decision-making in order to be more cautious and avoid potential risks or disappointments.

Conservative estimates are based on the idea that it is better to be overly cautious and prepare for the worst-case scenario than to be overly optimistic and potentially be caught off guard.

This means that if McKyla wants a conservative budget, the wages should be put at the lower amount of $ 2, 400.

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a) U is subspace of R^3.

b) The set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) 2.

a) To show that U is a subspace of R^3, we need to verify the following three conditions:

i) The zero vector (0, 0, 0) is in U.

ii) U is closed under addition.

iii) U is closed under scalar multiplication.

i) The zero vector is in U since 0 + 2(0) - 3(0) = 0.

ii) Let (x1, y1, z1) and (x2, y2, z2) be two vectors in U. Then we have:

x1 + 2y1 - 3z1 = 0 (by definition of U)

x2 + 2y2 - 3z2 = 0 (by definition of U)

Adding these two equations, we get:

(x1 + x2) + 2(y1 + y2) - 3(z1 + z2) = 0

which shows that the sum (x1 + x2, y1 + y2, z1 + z2) is also in U. Therefore, U is closed under addition.

iii) Let (x, y, z) be a vector in U, and let c be a scalar. Then we have:

x + 2y - 3z = 0 (by definition of U)

Multiplying both sides of this equation by c, we get:

cx + 2cy - 3cz = 0

which shows that the vector (cx, cy, cz) is also in U. Therefore, U is closed under scalar multiplication.

Since U satisfies all three conditions, it is a subspace of R^3.

b) To find a basis for U, we can start by setting z = t (where t is an arbitrary parameter), and then solving for x and y in terms of t. From the equation x + 2y - 3z = 0, we have:

x = 3z - 2y

y = (x - 3z)/2

Substituting z = t into these equations, we get:

x = 3t - 2y

y = (x - 3t)/2

Now, we can express any vector in U as a linear combination of two vectors of the form (3, -2, 0) and (0, 1/2, 1), since:

(x, y, z) = x(3, -2, 0) + y(0, 1/2, 1) = (3x, -2x + (1/2)y, y + z)

Therefore, the set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) Since the basis for U has two elements, the dimension of U is 2.

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Answer:

-117

Step-by-step explanation:

f(-10)=-(-10)^2+3(-10)+13

f(-10)=-117

The area (in square feet) of a trapezoid with height h and bases b1 and b2 is 72 square feet

The formula for calculating the area of the trapezoid is given as:

A = 0.5(b1+b2)h

Given the following

h=12

b1=5

b2=7

Substitute

A = 0.5(5+7)*12
A = 12 * 6

A = 72 square feet

Hence the area (in square feet) of a trapezoid with height h and bases b1 and b2 is 72 square feet

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The length of BC is 5.0 feet.

To find the length of BC in triangle BCD, we can use the trigonometric relationship of the sine function.

Given:

Angle D = 90°

Angle C = 46°

DB = 6.9 feet

Using the sine function, we have:

sin(C) = opposite/hypotenuse

In this case, BC is the side opposite angle C, and DB is the hypotenuse. Therefore, we have:

sin(46°) = BC/6.9

Rearranging the equation to solve for BC:

BC = sin(46°) * 6.9

Using a calculator, we can find the sine of 46°, which is approximately 0.7193. Plugging this value into the equation, we get:

BC = 0.7193 * 6.9

BC ≈ 4.9717

Rounding to the nearest tenth, the length of BC is approximately 5.0 feet.

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Answer:

so you're going to need to find the slope. in order to do that use (y2-y1)/(x2-x1)

(7-(-2))/(0-8)

simplify

9/-8

simplify -9/8

now using y=mx+b, we need to find b. so we can plug in the coordinates of (0,7) or (8,-2). let's use (8,-2) because it involves more math.  

y=mx+b

-2=(-9/8)(8)+b

multiply (-9/8) by 8 to get -9

-2=-9+b

add 9 to both sides

7=b

so our equation is now

y=-(9/8)x+7

Step-by-step explanation:

Answer:

y=-(9/8)x+7

Step-by-step explanation:

Answer:

Step-by-step explanation:

The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

The statement that is true is: d. All of these are true.Explanation:A study may have various sources of variability, including participant selection, the setting in which the study is conducted, and the measure used. The following options are as follows:a. The study may be affected by a situational variable.b. The construction noise may contribute to variability in test scores.c. The study has a confounding variable. The groups differ in the time they are to report to the testing room.d. All of these are true.Therefore, all of these options are true. For example, the study may be affected by a situational variable if a natural disaster or other unforeseen event happens that causes the study to be disrupted. In this case, the study was disrupted by a noisy construction crew, which may have contributed to variability in test scores. The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

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Answer:

y=3 or just put 3

Step-by-step explanation:

The total capacity of the big school bus is 140 children.

To find out how many children can fit into the big school bus, let's work through the given information step by step.

When the bus left Area A, it was 2/7 full. This means that 2/7 of the bus's capacity was occupied by children. Let's represent the total capacity of the bus as 'x'. Therefore, 2/7 of 'x' corresponds to the number of children on the bus when it left Area A.

After the bus arrived at Area B, 9 children alighted, which means the number of children decreased by 9. We are then told that there were 31 children remaining on the bus. So, the number of children on the bus before any alighted was 31 + 9 = 40.

Since 2/7 of the bus's capacity was occupied by children when it left Area A, we can set up the following equation:

(2/7) * x = 40

To solve for 'x', we can multiply both sides of the equation by (7/2):

x = 40 * (7/2)

x = 140

Therefore, the total capacity of the big school bus is 140 children.

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