help please
One angle measures 25° and another angle measures (3d − 10)°. If the angles are complementary, what is the value of d?


d = 55

d = 35

d = 25

d = 11.7

Answer:

412.92

Step-by-step explanation:

\(A = P(1+\frac{r}{n} )^{nt}\)

A: Amount, P: Principal, r: interest, n: no.of times compounded yearly and t: time in years

We have P = 300

r = 4% = 0.04

n = 12 (compounded monthly)

t = 8

\(A = 300(1+\frac{0.04}{12} )^{12*8}\\\\300(\frac{12.04}{12} )^{96}\\\\= 412.92\)

9514 1404 393

Answer:

  D(1, 2)

Step-by-step explanation:

The ordered pair is always (x-coordinate, y-coordinate).

The x-coordinate is the distance to the right of the y-axis. (It is negative for points left of the y-axis.) Here, point D lies 1 unit right of the y-axis, so its x-coordinate is 1.

The y-coordinate is the distance above the x-axis. (It is negative for points below the x-axis). Here, point D lies 2 units above the x-axis, so its y-coordinate is 2.

The ordered pair describing the location of D is ...

  (x-coordinate, y-coordinate) = (1, 2)

Answer:

13 feet

Step-by-step explanation:

3 inches times 52 equals 156.

156 divided by 12 equals 13.

The length of the actual car if The ratio of the model car's dimensions to the actual car's dimensions is 1/52, The model has a length of 3 inches, is 13 feet.

To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilized. It is employed to change the size of an object.

The ratio of one object's scale to that of a new object, which has its representation but is larger, is known as a scale factor (bigger or smaller).

Given:

The ratio of a model car's dimensions to the actual car's dimensions is 1/52, The model has a length of 3 inches,

Calculate the actual length of the car as shown below,

Models car length / The actual length of the car = 1 / 52

3 / The actual length of the car = 1 / 52

The actual length of the car = 3 × 52

The actual length of the car = 156 inches

The actual length of the car = 156 × 0.0833 feet  (1 inch = 0.0833)

The actual length of the car = 13 feet

Thus, the actual car is 13 feet long.

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The value of q is 0.35.

The value of p is 0.16.

The value of r is 0.27.

The value of P(A given NOT B) is approximately 0.4211.

To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.

Given:

P(A) = 0.43

P(B) = 0.62

P(A∩B) = 0.27

Calculating the value of p:

The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.

We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:

p = P(A) - P(A∩B)

= 0.43 - 0.27

= 0.16

Therefore, the value of p is 0.16.

Calculating the value of q:

The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.

We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:

q = P(B) - P(A∩B)

= 0.62 - 0.27

= 0.35

Therefore, the value of q is 0.35.

Calculating the value of r:

The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.

We are given that P(A∩B) = 0.27, so the value of r is 0.27.

Therefore, the value of r is 0.27.

Finding the value of P(A given NOT B):

P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.

To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.

P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)

We can calculate the value of P(A given NOT B) using the provided probabilities:

P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))

= 0.43 - 0.27 / (1 - 0.62)

= 0.16 / 0.38

≈ 0.4211

Therefore, the value of P(A given NOT B) is approximately 0.4211.

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Answer:

A) Null hypothesis; H0: μ1 − μ2 ≤ 0

Alternative hypothesis; Ha: μ1 − μ2 > 0

B) Test statistic = t = 1.878

C) p-value is 0.038823.

D) Reject the Null hypothesis H0

Step-by-step explanation:

We are given;

α = 0.05

n1 = 16

n2 = 10

bar x1 = 6.82

bar x2 = 6.28

s1 = 0.65

s2 = 0.75

A) The hypothesis is as follows;

Null hypothesis; H0: μ1 − μ2 ≤ 0

Alternative hypothesis; Ha: μ1 − μ2 > 0

B) Formula yo determine the test statistic is;

t = ((bar x1) - (bar x))/√((s1)²/n1) + (s2)²/n2))

Plugging in the relevant values, we have;

t = (6.82 - 6.28)/√((0.65)²/16) + (0.75)²/10))

t = 0.54/√(0.02640625 + 0.05625)

t = 0.54/0.2875

t = 1.878

C) The formula for the degree of freedom is;

Δ = [(s1)²/n1) + (s2)²/n2))]²/[((s1²/n1)²/(n1 - 1)) + ((s2²/n2)²/(n1 - 1))  

Plugging in the relevant values, we have;

Δ = [(0.65)²/16) + (0.75)²/10))]²/[((0.65²/16)²/(16 - 1)) + ((0.75²/10)²/(10 - 1))  

Δ = 0.00683205566/(0.000046486 + 0.0003515625)

Δ ≈ 17

Thus, the P-value;

From online p-value calculator from t-score and DF which i attached, we have the p-value as;

The p-value is 0.038823.

D) The p-value result is significant at p < 0.05

Thus, we reject the Null hypothesis H0

A) Null hypothesis: μ1 − μ2 ≤ 0

B) Test statistic = t = 1.878

C) The p-value is 0.038823.

D) Reject the Null hypothesis H0.

What all information we have ?

α = 0.05

n1 = 16

n2 = 10

bar x1 = 6.82

bar x2 = 6.28

s1 = 0.65

s2 = 0.75

Part A)

The hypothesis is as follows;

Null hypothesis; H0: μ1 − μ2 ≤ 0

Alternative hypothesis; Ha: μ1 − μ2 > 0

Part B)

The formula to determine the test statistic is :

t = ((bar x1) - (bar x))/√((s1)²/n1) + (s2)²/n2))

t = (6.82 - 6.28)/√((0.65)²/16) + (0.75)²/10))

t = 0.54/√(0.02640625 + 0.05625)

t = 0.54/0.2875

t = 1.878

The formula to determine the test statistic is t = 1.878.

Part C)

The formula for the degree of freedom is;

Δ = [(s1)²/n1) + (s2)²/n2))]²/[((s1²/n1)²/(n1 - 1)) + ((s2²/n2)²/(n1 - 1))  

Δ = [(0.65)²/16) + (0.75)²/10))]²/[((0.65²/16)²/(16 - 1)) + ((0.75²/10)²/(10 - 1))  

Δ = 0.00683205566/(0.000046486 + 0.0003515625)

Δ ≈ 17

Thus, the P-value is 0.038823.

Part D)

The p-value result is significant at p < 0.05 is :

Thus, we reject the Null hypothesis H0.

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Answer:  14x +11

Step-by-step explanation:

4(2x - 1) + 3(2x +5) = 8x - 4 + 6x +15

                              = 8x + 6x + 15 - 4

                              = 14x + 11

Answer:

14x + 11

Step-by-step explanation:

\(\boxed{\begin{minipage}{9.6cm}\underline{Distributive Property}\\\\Distributive multiplication over addition and subtraction:\\\\Addition:\;\;\:\:\:\:\;$a(b + c) = ab + ac$\\Subtraction:\;\;$a(b - c) = ab-ac$\\\end{minipage}}\)

Use the distributive property to expand, then collect and combine like terms:

\(\begin{aligned}4(2x - 1) + 3(2x +5)& = 4 \cdot 2x + 4 \cdot (-1) + 3 \cdot 2x + 3 \cdot 5\\&=8x-4+6x+15\\&=8x+6x+15-4\\&=14x+11\end{aligned}\)

If λ is an eigenvalue of A, then λ is an eigenvalue of \(A^T\). Show with an example that the eigenvectors of A and \(A^T\) are not the same.

The equation Av = λv, where v is a non-zero vector, is satisfied by an eigenvector v and an eigenvalue given a square matrix A. In other words, the eigenvector v is multiplied by the matrix A to produce a scalar multiple of v. Due to their role in illuminating the behaviour of linear transformations and differential equation systems, eigenvectors play a crucial role in many branches of mathematics and science. When the eigenvector v is multiplied by A, the eigenvalue indicates how much it is scaled.

The eigenvalue and eigenvector states that, let v be a non-zero eigenvector of A corresponding to the eigenvalue λ.

Then, we have:

Av = λv

Taking transpose on both sides we have:

\(v^T A^T = \lambda v^T\)

The above equations thus relates transpose of vector and transpose of A to λ.

Now, consider a matrix:

\(\left[\begin{array}{cc}1&2\\3&4\\\end{array}\right]\)

Now, the eigen values of this matrix are λ1 = -0.37 and λ2 = 5.37.

The eigenvectors are:

\(v1 = [-0.8246, 0.5658]^T\\v2 = [-0.4159, -0.9094]^T\)

Now, for transpose of A:

\(A^T=\left[\begin{array}{cc}1&3\\2&4\\\end{array}\right]\)

The eigen vectors are:

\(u1 = [-0.7071, -0.7071]^T\\u2 = [0.8944, -0.4472]^T\)

Hence, we see that, if λ is an eigenvalue of A, then λ is an eigenvalue of \(A^T\). Show with an example that the eigenvectors of A and \(A^T\) are not the same.

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The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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Answer:120 DEEGREES

Step-by-step explanation:

Answer:

When we multiply two number with the same base but different power, the power gets added.

So, the answer is:

5^17*5^2

=5^(17+2)

=5^19

The degree and x and y-intercept of the graphs are;

Graph #1

Degree; Odd degree (of power 3)

x-intercept; (0, 0)

y-intercept; (0, 0)

Graph #2

Degree; Odd degree

x-intercepts; (-5, 0), (3, 0), (7, 0)

y-intercept; (-5.5, 0)

Graph #4

Degree; Odd degree of 3 (y = x·(x - 3)²)

x-intercepts; (0, 0), (3, 0)

y-intercept; (0, 0)

Graph #5

Degree; Odd degree of 3 (function; y = (x - 1)³)

x-intercept; (1, 0)

y-intercept; (0, 1)

The degree of a function is the highest index of the function

The graph of the functions indicates that the end behavior are;

Graph #1

f(x) = y tends to infinity (∞) as x tends to infinity (∞)

f(x) = y tends to minus infinity (-∞) as x tends to minus infinity (-∞)

The function of the graph is therefore an odd degree function, with a positive leading coefficient.

The narrowness of the graph, and the single x-intercept, indicates that the function graph is of the form; y = x³

The degree of the graph is therefore, 3

The graph of the function indicates that the x-intercept is the point (0, 0)

The y-intercept is the point (0, 0)

Graph #2

The end behavior of the graph are;

f(x) = y tends to infinity (∞) as x tends to minus infinity (-∞)

f(x) = y tends to minus infinity (-∞) as x tends to infinity (∞)

The graph is therefore the graph of an odd function with a -ve leading coefficient

The x-intercept of the graph are; (-5, 0), (3, 0), (7, 0)

The y-intercept of the graph is; (0, -5.5)

Graph #4

The end behavior of the graph indicates that the graph represents an odd degree function with positive leading coefficient

The x-intercepts of the graph are; (0, 0), and (3, 0)

The y-intercept of the graph is the point (0, 0)

Function is; y = x·(x - 3)²

Graph #5

The graph of the function that tends to infinity as the x-value tends to minus infinity and tends to minus infinity as the x-value tends to infinity, indicates that the degree of the function is odd and the function has a -ve leading coefficient. The narrowness of the graph indicates a degree of 3

The degree of the function is therefore; 3

The x-intercept of the graph is; (1, 0)

The y-intercept of the graph is; (0, 1)

The possible function is therefore; y = (x - 1)³

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Answer:

2≤x≤4

Step-by-step explanation:

2 is less than/equal to x; x is less than/equal to 4

Answer:

the midpoint is at (-1,-4)

Answer:

-1, -4

Step-by-step explanation:

find the middle of the segment

Answer:

2x−3=x

Move all terms containing x

to the left side of the equation.

Subtract x

from both sides of the equation.

2x−3−x=0

Subtract x

from 2x

x−3=0

Add 3

to both sides of the equation.

x=3

Answer:

3\49857

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

36 divided by 6 = 6

= 6+3=9

=9-4=5

it makes you have to do the division first instead of doing the add in the BRACKETS.

Answer:5 for the second expression

if the parenthesis are removed you divide, add, and then subtract instead of adding,dividing and subtracting

Step-by-step explanation:

36-6=6.    6+3=9.   9-4=5

the explanation is based on the problems solved

Hope this helped!

Answer:

Step-by-step explanation:

Solve the equationSolve for rr=5Show Solutions Rewrite the equationRewrite in rectangular formx2+y2−25=0Show Solutions Graph

Answer:

-a^2 +ab +3a

Step-by-step explanation:

-a(a-b-3)

Distribute

-a*a -a*(-b) -a *(-3)

-a^2 +ab +3a

Given: A tire can be made in 1 1/2 minutes

To Determine: The number of tires that would be made in 6 minutes

Solution

Let the number of tires made in 6 minutes be x. So

Hence, the number of tires made in 6 minutes is 4

Answer:

\(2x^{2} +13x-45\)

Step-by-step explanation:

By using FOIL method.

Answer:

acute

Step-by-step explanation:

Evaluate the angle C = (11x + 85)/3 at x = 13:

C(13) = (143 + 85)/3, or 76 degrees.  This is an acute angle (more than 0 and less than 90 degrees).

Answer:

1, 16, 100

Step-by-step explanation:

Answer:

other persons right i took the test and got it right so 1, 16, and, 100

Step-by-step explanation:

Answer:

The correct answer is B: Saturday.

The relationship between Monday and Thursday is that they are two days apart in a typical Monday-to-Sunday week. Similarly, Friday is also two days apart from Tuesday in a typical week, so the relationship between Friday and Tuesday would be the same as the relationship between Monday and Thursday. Therefore, the correct answer is B: Saturday.

Answer:

  -43/102

Step-by-step explanation:

You want the value of the given expression involving radicals and logs.

The relevant rules of logarithms and radicals are ...

  \(\log_b{(b^a)}=a\\\\\sqrt[n]{a^m}=a^{\frac{m}{n}}\)

The given expression can be simplified as follows.

  \(\dfrac{\log_3{\sqrt{243\sqrt{81\sqrt[3]{3}}}}}{\log_2{\sqrt[4]{64}}+\log{10^{-10}}}=\dfrac{\log_3{(3^5\cdot(3^4\cdot3^{\frac{1}{3}})^{\frac{1}{2}})^{\frac{1}{2}}}}{\log_2{2^{\frac{6}{4}}}+(-10)}\\\\\\=\dfrac{\log_3{3^{(5+13/6)(1/2)}}}{3/2-10}=\dfrac{43/12}{-17/2}=-\dfrac{2\cdot43}{12\cdot17}=\boxed{-\dfrac{43}{102}}\)

A suitable calculator can give you the same result.

Answer: a) 76 : 24

              b) 24 : 76

Step-by-step explanation: Odds describe the possibility an event will occur, i.e., is the ratio of an event being successful with the chance of an event failing. It can be in favor or against:

a) Odds in favor

\(favor=\frac{76/100}{24/100}\)

\(favor=\frac{76}{24}\)

or

favor = 76 : 24

Odds in favor of a man agreeing owning a house is an important part of adult life is 76 : 24.

b) Odds against

\(against=\frac{24/100}{76/100}\)

\(against=\frac{24}{76}\)

or

against = 24 : 76

Odds against of a man agrreing that owning a house is an important part of adult life is 24 : 76