answer this question thanks
3. Let \( V \) be a vector space. Prove that if \( U \) and \( W \) are subspaces of \( V \), then \( U \cap W \) is a subspace of \( V \).

The trigonometric ratios for each triangles are:

Please note that all angles B are the right angle, then:

cos B = 1; sin B = 0; tan B = -

The trigonometric ratio of sin, cos, tan, can be formulated as:

(please refer to the attached triangle below for reference)

cos A = side adjacent to A / Hypotenuse

Cos A = b/c

Sin A = side opposite to A / Hypotenuse

Sin A = a/b

Tan A = Side opposite to A / Side adjacent to A

Tan A = a/b

From these formulas, we can find that:

Triangle 1

Cos A = 40/50 = 4/5

Sin A = 30/50 = 3/5

Tan A = 30/40 = 3/4

Cos C = 30/50 = 3/5

Sin C = 40/50 = 4/5

Tan C = 40/30 = 4/3

Triangle 2

Cos A = 27/45 = 3/5

Sin A = 36/45 = 4/5

Tan A = 36/27 = 4/3

Cos C = 36/45 = 4/5

Sin C = 27/45 = 3/5

Tan C= 27/36 = 3/4

Triangle 3

Cos A = 15/17

Sin A = 8/15

Tan A = 8/15

Cos C = 8/17

Sin C = 15/17

Tan C = 15/8

Please note that all angle B on the three triangles are all a right angle, then:

Cos B = 1

Sin B = 0

Tan B = -

Learn more about Trigonometric Ratio here: brainly.com/question/25122832

#SPJ1

Answer: 200%

Step-by-step explanation:

A radio when sold at a certain price gives a gain of 20 %.

Selling Price = 3 × Cost Price

TO FIND :- Gain percent

Gain % = gain / cp x 100

20 = (gain x 100) / cp

Gain/cp = 20/100 = 1/5

Gain = SP - CP

= 3CP - CP

Gain = 2CP

Gain% = gain / cp x 100

= 2cp / cp x 100

= 2 x 100 = 200%

Answer:

A

Step-by-step explanation:

Answer:

120 meters

Step-by-step explanation:

40x3 because the ball went up with a velocity of 40 meters a second and it went for 3 seconds so 40+40+40=120 or 40x3=120 (if this is wrong I'm sorry)

Answer:

13.33

Step-by-step explanation:

40÷3=13.33 is gonna be your answer

Answer:

A 95% confidence interval for the mean μ of a population is computed from a random sample and found to be 9 ±3. We may conclude that A. there is a 95% probability that μ is between 6 and 12.

Step-by-step explanation:

hope it helps

Answer:

a.

\(f(t) = 21000( {.918}^{t} )\)

b.

\(f(4) = 21000( {.918}^{4}) = 14913.86\)

The required total amount paid for magazine and pencil is 108p.

Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube  roots, plus and minus.

Now it is given that,

Costing of a magazine = 83p

Costing of pencil = 45p

Thus, Total costing = Costing of a magazine + Costing of pencil

Putting the values we get,

Total costing = 83p + 45p = 128p

Now voucher gives 20p off

So, Final Costing = Total costing - Voucher off

⇒ Final Costing = 28p - 20p

⇒ Final Costing = 108p

this is the equired total amount paid for magazine and pencil.

Thus, the required total amount paid for magazine and pencil is 108p.

To learn more about simplification :

https://brainly.com/question/12222908

#SPJ1

To make the given statements true, $967.72 should be invested in the account today, with no additional deposits or withdrawals being made.

Compound interest refers to the amount of interest added on the principal amount plus interest. The formula for compound interest is:

B = P(1 + r/n)^t

where B is the ending balance, P is the principal amount or original balance, r is the interest rate in decimal form, n = number of times interest is compounded annually, and t is the time in number of year

Based on the given information, P is the unknown and

B = $2174. 30

t = 18

r = 4. 6% = 0.046

n = 1

Plug in the values and solve for P or the amount that should be invested today.

B = P(1 + r/n)^t

$2174. 30 = P(1 + (0.046/1))^18

$2174. 30 = P(1.046)^18

P = $2174. 30 / (1.046)^18

P = $967.72

Learn more about compound interest here: brainly.com/question/24924853

#SPJ4

The differential equation of the form x"(t) - 10x'(t) + 25x(t) = 3te5 can be solved by the method of undetermined coefficients. The method of undetermined coefficients is applied to obtain a particular solution to the given differential equation.

Firstly, the characteristic equation of the differential equation is obtained by assuming the solution of the form x(t) = e^(rt),r² - 10r + 25 = 0.

By solving this quadratic equation, we get r1 = 5, r2 = 5. Therefore, the general solution of the given differential equation is x(t) = (c1 + c2t) e^(5t)Where c1 and c2 are arbitrary constants.

The next step is to assume a particular solution to the given differential equation as x(t) = (at + b)e^(5t) and substitute this particular solution in the differential equation.x"(t) - 10x'(t) + 25x(t) = 3te5a(25e5t) = 3te5On.

solving, we get a = 3/25So, the particular solution is x(t) = (3t/25 + b)e^(5t)

to know more about constants visit:

https://brainly.com/question/17225511

#SPJ11

Answer:

actually, you only need at least 5  players

Step-by-step explanation:

Answer:

t - 37 = 15

Step-by-step explanation:

If only 15 players can be on the team and 37 didn't make it, lets assume 15 did. Therefore, 52 students tried out for the team

Answer for 1:

19

Answer for 2:

vertical

Answer for 3:

supplementary

Answer for 4:

96°

Answer for 5:

24°

Answer for 6:

120°

Explanation for All Questions:

I'm an Ace, 80% to Genius. Trust me

The one-sample Z test is used when we want to know whether our sample comes from a particular population. The name of the one-sample Z test tells us the general research design of studies in which this statistic is selected to test hypotheses.

For instance, we are doing research on data collected from successive cohorts of students taking the Elementary Statistics class. We may want to know if this particular sample of college students is similar to or different from college students in general. The one-sample Z test is used only for tests of the sample mean. Thus, our hypothesis tests whether the average of our sample (M) suggests that our students come from a population with a know mean (m) or whether it comes from a different population.

The statistical hypotheses for one-sample Z tests take one of the following forms, depending on whether your research hypothesis is directional or nondirectional. In the equations below m1 refers to the population from which the study sample was drawn; m is replaced by the actual value of the population mean.

To know more about one-sample Z test:

https://brainly.com/question/21166113

#SPJ4

a) Given in the question that the hiring bonus is one time that is fixed. In the equation y = 200 + 115x

We see that 200 is constant and is independent of influence of any variables. So the hiring bonus is 200

b) We can interpret from the equation y = 200 + 115x that, 115 is the pay per hour because x is the total number of hours worked and we need to multiply the total number of hours with a quantity per hour to maintain the homogeneity of the equation. As y is the total pay, so we need to multiply pay per hour to x by the laws of homogeneity. Therefore 115 must be the pay per hour in order to balance with x. Hence the hourly wage is 115 per hour.

Given: New employees receive a time pay bonus. The equation y = 200 + 115x, gives a new total pay y, for x working hours.

What are algebraic expressions?

Algebraic expressions are the sequences or combinations of characters containing letters, numbers, variables, symbols, etc. The algebraic expressions help us to form an equation for a given large problem, thus making it short and easy to understand.

We can form algebraic equations for every problem with the help of variables.

Algebraic expressions also help us to formulate graphs and analyze the problem with a large number of values for the independent and dependent variables.

What is the equation of a straight line?

The equation of straight line is y = mx + c, where c is the intercept in the y axis where the line passes from and m is the slope of the line.

Now, let's solve the given question.

The given equation is:

y = 200 + 115x

where y = Total pay for the employee

and x = Total working hours

a) Given in the question that the hiring bonus is one time that is fixed. In the equation y = 200 + 115x

We see that 200 is constant and is independent of influence of any variables. So the hiring bonus is 200

b) We can interpret from the equation y = 200 + 115x that, 115 is the pay per hour because x is the total number of hours worked and we need to multiply the total number of hours with a quantity per hour to maintain the homogeneity of the equation. As y is the total pay, so we need to multiply pay per hour to x by the laws of homogeneity. Therefore 115 must be the pay per hour in order to balance with x. Hence the employees are paid 115 per hour.

Hence the hiring bonus is 200 and the pay per hour or hourly wage is 115 per hour.

Know more about "algebraic expressions" here: https://brainly.com/question/953809

#SPJ9

Disclaimer: The given question is incomplete. The complete question is given below:

A local restaurant is trying to recruit new employees. As an incentive to work there, they are offering a hiring bonus. In addition to

their hourly wages, new employees will receive a one-time pay bonus. The equation y = 200 + 115x gives a new employees total

pay, y, for working x hours.

a. How much is the hiring bonus? Explain.

b. How much does the employee get paid as their hourly wage? explain

The premises is R • ∼E • ∼D • G

This is the desired conclusion.

The premises, we can conclude that:

R • ∼E • ∼D

The following steps of deductive reasoning:

From premise 3 and the contrapositive of premise 1 can deduce that:

∼(E • D) ⊃ ∼R

Using De Morgan's Law can rewrite this as:

(∼E ∨ ∼D) ⊃ ∼R

Since R ⊃ (E • D) by premise 1 can substitute this into the above equation to get:

(∼E ∨ ∼D) ⊃ ∼(R ⊃ (E • D))

Using the rule of implication can simplify this to:

(∼E ∨ ∼D) ⊃ (R • ∼(E • D))

From premise 2 know that R • ∼G.

Using De Morgan's Law can rewrite this as:

∼(R ∧ G)

Combining this with the above equation get:

(∼E ∨ ∼D) ⊃ ∼(R ∧ G ∧ E ∧ D)

Simplifying this using De Morgan's Law and distributivity get:

(∼E ∨ ∼D) ⊃ (∼R ∨ ∼G)

Finally, using premise 3 and modus ponens can deduce that:

∼E ∨ ∼D ∨ G

Since we know that R • ∼G from premise 2 can substitute this into the above equation to get:

∼E ∨ ∼D ∨ ∼(R • ∼G)

Using De Morgan's Law can simplify this to:

∼E ∨ ∼D ∨ (R ∧ G)

Multiplying both sides by R and ∼E get:

R∼E∼D ∨ R∼EG

Using distributivity and commutativity can simplify this to:

R(∼E∼D ∨ ∼EG)

Finally, using De Morgan's Law can rewrite this as:

R(∼E ∨ G) (∼D ∨ G)

This is equivalent to:

R • ∼E • ∼D • G

For similar questions on premises

https://brainly.com/question/28877767

#SPJ11

Two point charges, q1 = 3.99 nC located at x = 0.205 m and q2 = 5.01 nC at x = -0.302 m, are placed on the x-axis. The electric field and direction at a given point can be calculated using the principle of superposition.

The electric field at a point due to a point charge is given by Coulomb's law, E = kq/r^2, where E is the electric field, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q is the charge, and r is the distance between the point charge and the point where the electric field is being measured. To calculate the net electric field at a point due to multiple charges, we use the principle of superposition, which states that the total electric field at a point is the vector sum of the electric fields due to each individual charge.

In this case, we have two charges, q1 = 3.99 nC and q2 = 5.01 nC. The electric field at a point P on the x-axis, due to q1, can be calculated as E1 = kq1/r1^2, where r1 is the distance between q1 and point P. Similarly, the electric field at point P due to q2 can be calculated as E2 = kq2/r2^2, where r2 is the distance between q2 and point P. To find the net electric field at point P, we add the electric fields vectorially, E_net = E1 + E2.

To learn more about superposition click here: brainly.com/question/12493909

#SPJ11

The equation for the line in point-(1, 1) is y = -0.5x + 0.5.

Given that the slope of the line below is -0.5. We are to enter the equation for the line in point-(1, 1).The equation for the slope-intercept form of the line is y = mx + c where m is the slope and c is the y-intercept.

Now, the slope of the line is given as -0.5.Therefore, the equation for the slope-intercept form of the line is y = -0.5x + c. Now we need to find the value of c for the equation of the line.

To find the value of c, substitute the values of x and y in the equation of the slope-intercept form of the line.

Given that the point is (-1,1), x=-1 and y=1y = -0.5x + c⇒ 1 = (-0.5) (-1) + c⇒ 1 = 0.5 + c⇒ c = 1 - 0.5⇒ c = 0.5

Therefore, the equation for the line in point-(1, 1) is y = -0.5x + 0.5.The slope of a line refers to how steep the line is and is used to describe its direction. Slope is defined as the vertical change between two points divided by the horizontal change between them.A positive slope moves up and to the right, while a negative slope moves down and to the right. If a line has a slope of zero, it is said to be a horizontal line.

The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept, or the point at which the line crosses the y-axis. To find the equation of a line with a given slope and a point, we can use the point-slope form of a linear equation.

Know more about   linear equation   here:

https://brainly.com/question/28732353

#SPJ8

Answer:

84

Step-by-step explanation:

they use 3 plates a day

there are 4 of them

so in one day, they use 12 plates [3x4]

they camp for 7 days, so 12x7.

84!! :D

Answer:

5/4 is the slope

Step-by-step explanation:

y= 5/4c- 7/4

This is in the slope intercept form

y = mx+b where m is the slope and b is the y intercept

5/4 is the slope and -7/4 is the y intercept

Answer:

5/4

Step-by-step explanation:

This equation is in slope intercept form (y=mx=b) so when interpreting the information we see that the slope is 5/4.

y = y

m = slope

x = x or in this case they use c

b = y intercept

This equation represents a line that intercepts at -7/4 and has a slope of 5/4. This can be checked by plugging in any point on the line for x and y.

Hope this helps!

Unit conversion is the conversion of one unit to another unit with its standard conversion.

The distance traveled in 15 minutes at a speed of 12m/s is 10800 m.

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 minute = 60 seonds

1 km = 100 m

1 m = 100 cm

We have,

Speed = 12 m/s

This means,

1 second = 12 m

Now,

1 minute = 60 seconds

15 minutes = 15 x 60 seconds

15 minutes = 900 seconds

So,

1 sec = 12 m

Multiply 900 on both sides.

900 x 1 sec = 900 x 12m

900 seconds = 10800 m

Thus,

The distance traveled in 15 minutes at a speed of 12m/s is 10800 m.

Learn more about unit conversion here:

https://brainly.com/question/13899873

#SPJ1

we have that

90x represent 100%

so

Applying proportion

Find out what number represent 35%

Let

m ----> the number

90x/100=m/35

solve for m

m=(90x/100)*35

m=31.5x

Answer:

Refer to the attached image.

Step-by-step explanation:

Answer:

It's D; 32 ounces, because you get more for the price.

Answer:

A. 10 oz

Step by step explanation:

The question asks which one has the lowest unit price. The key word is unit, not just what is shown on the chart. You have to divide the price by the number of ounces to get the price for one ounce(unit). Then you look at all the prices and whichever one is the lowest is the answer. These are the unti prices after you divide the price by the number of oz

A=0.079

B=0.086

C=0.120

D=0.0996875

Answer:

B) 14,151 feet

Step-by-step explanation:

Answer on edge

To use the vectorized Euler method to approximate the solution to the given initial value problem, we need to convert the second-order differential equation into a system of first-order differential equations.

Let's introduce a new variable u = y' to rewrite the equation.

The given initial value problem becomes:

u' + 3tu + 4y = 0        (Equation 1)

y' = u                   (Equation 2)

y(0) = 5, u(0) = 0

Now, let's apply the vectorized Euler method with a step size of h = 0.5 to approximate the solution on the interval [0, 2].

First, we divide the interval [0, 2] into subintervals with a step size of h = 0.5:

t0 = 0, t1 = 0.5,

t2 = 1.0,

t3 = 1.5,

t4 = 2.0

Next, we initialize the values of y and u at t = 0:

y0 = 5, u0 = 0

Then, we use the following iteration formulas to approximate the solution:

For i = 0:

y1 = y0 + h * u0

\(u_1\) = u0 + h * (-3t0 * u0 - 4y0)

For i = 1:

\(y_2 = y_1 + h * u_1\)

\(u_2 = u_1 + h * (-3t_1 * u_1 - 4y1_)\)

For i = 2:

\(y_3 = y_2 + h * u_2\)

\(u_3 = u_2 + h * (-3t_2 * u_2 - 4y_2)\)

For i = 3:

\(y_4 = y_3 + h * u_3\)

\(u_4 = u_3 + h * (-3t_3 * u_3 - 4y_3)\)

To know more about equations visit:

brainly.com/question/29538993

#SPJ11

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

You turn the fractions improper, 9/2 x 8/3. Multiply the top numbers and then multiply the bottom. Simplify to get 12.

Answer:

.85

Step-by-step explanation:

Compound interest formula

\(PV(1+\frac{i}{n})^{nt}\)

Melanie:

\(3800(1+\frac{.02}{4})^{(6*4)\\}\\=3800(1+.005)^{24}\\3800*1.1272=4283.21\)

Sebastian:

\(3800(1+\frac{.02}{12})^{12*6}\\3800(1.0017)^{72}\\3800*1.1274=4284.06\)

4824.06-4283.21= .85

===============================================

Explanation:

If we replace x with 0, then we get...

f(x) = 3x^2-8x+2

f(0) = 3(0)^2 - 8(0) + 2

f(0) = 3(0) - 8(0) + 2

f(0) = 0 - 0 + 2

f(0) = 2

Showing that the input x = 0 leads to the output y = f(x) = 2

The answer is between choice A and choice D because of this. Something like choice B is eliminated because this table shows x = 0 leading to y = -3 which is not correct.

-----------

Let's plug in x = 1

f(x) = 3x^2-8x+2

f(1) = 3(1)^2 - 8(1) + 2

f(1) = 3(1) - 8(1) + 2

f(1) = 3 - 8 + 2

f(1) = -5 + 2

f(1) = -3

So x = 1 leads to y = -3. We can rule out choice D and confirm it is choice A.

We don't need to try other x values since we have the answer, but I recommend practicing with other x values to help confirm that the first table is the answer.

Answer:

The answer is C

Step-by-step explanation:

Plz brainliest!!!