Now im really going to fail

Subtract. −1 3/5 − ( −2 7/8 )

Answer:

y=3x+4

Step-by-step explanation:

Hope this works

We can simplify cosec(t)tant(t) to sec(t). A trigonometric function is a mathematical function that relates the angles of a triangle to the ratios of its sides.

The most common trigonometric functions are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).

To simplify the expression cosec(t)tant(t), we need to use the trigonometric identity:

cosec(t) = 1/sin(t)

tant(t) = sin(t)/cos(t)

Substituting these expressions into the original expression, we get:

cosec(t)tant(t) = (1/sin(t))(sin(t)/cos(t))

The sin(t) term in the numerator and denominator cancel out, leaving:

cosec(t)tant(t) = 1/cos(t)

Recalling the definition of secant, sec(t) = 1/cos(t), we can express the simplified expression as:

cosec(t)tant(t) = 1/sec(t)

Therefore, we can simplify cosec(t)tant(t) to sec(t).

Learn more about trigonometric identity :

https://brainly.com/question/3785172

#SPJ1

Answer:

Step-by-step explanation:

the dot would either (1,4) or (4,1)

a squared+ b squared= c squared

the length of the sides are 3

3 squared + 3 squared= c squared

9+9 =c squared

18= c squared

square root of 18 rounded to the nearest tenth is 4.2

Answer:

D

Step-by-step explanation:

It's an Icoseles triangle do the two bottom angles are equal. 50+ 50 = 100. All triangle angles add up to 180 so 180 - 100 = 80

Answer:

Option D - 80

Step-by-step explanation:

The triangle is an isosceles triangle, which means that two angles and sides are the same. That means that other side is also 50°. All the angles in a triangle add up to 180°. Since we know two of the angles, we should know what the angle x is. We can write it as 50 °+ 50° + x = 180°. You can add 50° and 50° to get 100°. Now you have 100° + x = 180°. Subtract 100° from both sides to get x = 80°.

Hope this helps! :)

Step-by-step explanation:

The formula:

�

�

=

�

2

(

�

1

+

�

�

)

S

n

=

2

n

(a

1

+a

n

)

is used to solve for the sum of the arithmetic sequence given the first term a₁, the number of terms n, and the last term in an.

Example:

3, 6, 9, 12, 15,...,123

The first term, a₁ = 3

The last term an = 123

Common difference, d = 3 (because the sequence are multiples of 3)

Number of terms, n= ?

Find the number of terms, n:

an = a₁ + (n-1) (d)

123 = 3 + (n-1) (3)

123 = 3 - 3 + 3n

123/3 = 3n/3

n = 41

To find the sum of the given sequence without adding 3 + 6 + 9, ... + 123, we use the formula:

S₄₁ = (41/2) (3 + 123)

S₄₁ = (41/2) (126)

S₄₁ = (41)(63)

S₄₁ = 2,583 ⇒ the sum of the given sequence

Answer:

Eli speed is above the speed limit by 14.374km/h

Step-by-step explanation:

Eli speed=40mph

speed limit =50km/h

converting Eli speed to 40mph to km/h

E=64.374km/h

Eli speed- speed limit=64.374-50=14.374km/h

Answer:

The correct option is (A).

Step-by-step explanation:

The expression Carey is solving is:

\(X=75\%\ \text{of}\ 36\)

Simplify the expression as follows:

\(X=75\%\ \text{of}\ 36\)

   \(=\frac{75}{100}\times 36\\\\=\frac{3}{4}\times 36\\\\=3\times 9\\\\=27\)

So, in Carey's calculation the third step is incorrect.

Instead of 27 the three-fourth must be multiplied by 36 to get the correct answer.

Thus, the correct option is (A).

Answer:

option A.The 27 could be changed to 36.

Answer: y = 8x^2

Step-by-step explanation:

The equation we need to model is for a parabola that opens upward, meaning the a-value must be positive. Additionally, the vertex of the parabola is located at the origin, meaning the vertex is (0,0). This tells us that the equation of the parabola takes the form y = ax^2.

To find the value of a, we need to use the information given, which is that the focus (where the bulb is located) is 8 in from the vertex. We know that the focus of a parabola is (a,0), and the vertex is (0,0). Using the distance formula, we can find the value of a.

Distance Formula: d = √((x_1-x_2)^2 + (y_1-y_2)^2)

d = √((a - 0)^2 + (0 - 0)^2)

d = √(a^2)

d = a

So, we can set a = 8. This gives us the following equation: y = 8x^2

Therefore, the equation of the parabola that models the cross section of the light reflector is:

y = 8x^2

Answer:

1. subtract by 12 on both sides

2. Divide both sides by -8

Step-by-step explanation:

10 makes the statement true

1,000,000 is 10 times greater than 100,000.

Given :

We use 10 or 100 or `1000 to make each statement true

1,000,000 is-------------times greater than 100,000.

Lets multiply 100,000 by 10 or 100 or 1000 and check

\(100,000 \cdot 10= 1,000,000\\100,000 \cdot 100= 10,000,000\\\\100,000 \cdot 1000= 100,000,000\\\)

From this we can see that

1,000,000 is 10 times greater than 100,000.

Learn more : brainly.com/question/24810721

Answer:

\(k=-\dfrac{11}{2}\)

\(\left(x+\dfrac{7}{2}\right)\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{5.7 cm}\underline{Factor Theorem}\\\\If f$(x)$ is a polynomial, and f$(a) = 0$,\\then $(x-a)$ is a factor of f$(x)$.\end{minipage}}\)

Given polynomial function:

\(p(x)=x^2-kx+7\)

Apply the Factor Theorem:

\(\begin{aligned} \textsf{If $(x + 2)$ is a factor of $p(x)$ then: \quad}p(-2)&=0\\\\\implies (-2)^2-k(-2)+7&=0\\4+2k+7&=0\\2k+11&=0\\2k&=-11\\k&=-\dfrac{11}{2}\end{aligned}\)

Substitute the found value of k into the original function:

\(\implies p(x)=x^2-\left(-\dfrac{11}{2}\right)x+7\)

\(\implies p(x)=x^2+\dfrac{11}{2}x+7\)

As (x + 2) is factor of the polynomial, and the leading coefficient of the function is 1, the other factor will be (x + q) where q is a constant to be found.

\(\begin{aligned}x^2+\dfrac{11}{2}x+7 & = (x+2)(x+q)\\& = x^2+qx+2x+2q\\& = x^2+(2+q)x+2q \end{aligned}\)

Compare the constant of the given polynomial with the constant of the expanded factors:

\(\implies 2q=7\)

\(\implies q=\dfrac{7}{2}\)

Therefore:

\(\implies x^2+\dfrac{11}{2}x+7 = (x+2)\left(x+\dfrac{7}{2}\right)\)

So the other factor of the given polynomial is:

\(\left(x+\dfrac{7}{2}\right)\)

Answer:

A=33.33

Step-by-step explanation:

Answer: Part A) 25%

Part B) 75%

Step-by-step explanation: Hope this helps.

Answer:

11 > (w- 4)

y < 3

5 + 9 < 5.9

So these are the phrases which are inequalities.

Answer:12 faces and 20 vertices

Step-by-step explanation:

Dodecahedron:- The three-dimensional geometric geometry of a dodecahedron comprises 20 vertices, 30 edges, and 12 flat faces.

Each face is a regular pentagon, with five equal-length sides and five equal-sized angles. One of the five Platonic solids, regular, convex polyhedrons with identical regular polygon faces and equal angles between them, the dodecahedron is one of these regular, convex polyhedrons. The dodecahedron is frequently utilised in architecture, design, and the arts because of its great degree of symmetry.

A dodecahedron has 12 faces.

To learn more about dodecahedron

brainly.com/question/32074764

She paid $1.25 for 1 pound of salad

Cost of 37 pounds of salad = $46.25

Cost of 1 pound of salad = (Cost of 37 pounds of salad) / 37

Cost of 1 pound of salad = $46.25 / 37

Cost of 1 pound of salad = $1.25

Answer:

If you're saying Jan ate 1/4 of what was left. How much of the pie did Jan eat?

then the answer is 5/32

Step-by-step explanation:

Answer:b

Step-by-step explanation:

3.5*5*.5=8.75

Answer:

b) - 10

Step-by-step explanation:

To find the average rate of change, we have divide the change in y of f(x) , by the change in x(input).

   \(\sf \boxed{\text{\bf Average rate of change = $\dfrac{f(b)-f(a)}{b-a}$}}\)

 a = 4 ; f(a) = -17

b = 6 ;   f(b) = -37

     \(\sf Average \ rate \ of \ change = \dfrac{-37-[-17]}{6-4}\)

                                         \(\sf =\dfrac{-37+17}{2}\\\\=\dfrac{-20}{2}\\\\=-10\)

Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

For more such questions on implicit differentiation visit:

https://brainly.com/question/25081524

#SPJ8

Answer:

12 cookies

Step-by-step explanation:2/3 times 18

= 36/3= 12

Answer:

the answer is 2 because the car goes forward 10 feet then it goes back to the same amount which puts it at its start

The dot product of vectors a and b is option D. 30.

To find the dot product of two vectors, you need to multiply their corresponding components and then sum the results.

Let's calculate the dot product of vectors a = <5, 2> and b = <4, 5>:

a • b = (5 x 4) + (2 x 5)

= 20 + 10

= 30

Therefore, the dot product of vectors a and b is 30.

learn more about product of vectors: https://brainly.com/question/30394406

#SPJ1

Answer:

Use the distributive property to multiply 2 by x−1.

l2x-2I=11

2x-2=-11

Add 2 to both sides of the equation.

2x=-9

Divide both sides by 2.

x=13/2

That's the final answer

Hope u have a great day!!

These are a legitimate probability distribution:

To have a legitimate probability distribution, the probabilities for all possible values of X must satisfy two conditions:

Each probability value must be between 0 and 1, inclusive.

The sum of all probability values must equal 1.

Check if the given probabilities satisfy these conditions:

P(X=-3) = 0.14 (valid)

P(X=1) = 0.1 (valid)

P(X=3) = 0.135 (valid)

P(X=5) = 0.306 (valid)

Now, calculate the remaining probability to check if it satisfies the second condition:

P(X=6) = 1 - (P(X=-3) + P(X=1) + P(X=3) + P(X=5))

P(X=6) = 1 - (0.14 + 0.1 + 0.135 + 0.306)

P(X=6) = 1 - 0.681

P(X=6) = 0.319

Since the calculated probability is valid (between 0 and 1), There is a legitimate probability distribution for the discrete random variable X:

P(X=-3) = 0.14

P(X=1) = 0.1

P(X=3) = 0.135

P(X=5) = 0.306

P(X=6) = 0.319

Find out more on probability distribution here: https://brainly.com/question/30390163

#SPJ1

The difference in volume between the two boxes would be = 156in³

To calculate the difference in volume between the boxes is the find the individual volume of the boxes using the formula ;

Volume = length×width×height.

For box 1 = length = 12in, width = 7¾in, height= 2in

Vol = 12×7¾×2 = 186in³

For box 2; length = 3⅔in, width = 3½in, height= 2⅓in

Volume = 3⅔×3½×2⅓ = 30

The difference = 186-30 = 156in³

Learn more about volume here:

https://brainly.com/question/27710307

#SPJ1

The probability of the four events are: Event 1: 1/84Event 2: 3/14Event 3: 15/28 Event 4: 5/21

The total number of drinks = 9The number of sweet teas = 3The number of unsweetened teas = 6If you select 3 drinks at random, the following events can take place:

Event 1: All three drinks are sweet teas. The probability of event 1 = (Number of ways in which all three drinks can be sweet teas) / (Number of ways to select 3 drinks)The number of ways in which all three drinks can be sweet teas = 3C3 = 1 (because all three sweet teas are already fixed)The number of ways to select 3 drinks = 9C3 = (9 × 8 × 7)/(3 × 2 × 1) = 84Therefore, the probability of event 1 = 1/84 = 1/84

Event 2: Exactly two drinks are sweet teas. The probability of event 2 = (Number of ways in which two drinks are sweet teas and one is an unsweetened tea) / (Number of ways to select 3 drinks)The number of ways in which two drinks are sweet teas and one is an unsweetened tea = (3C2 × 6C1) = 18 (because you can choose 2 sweet teas from 3 and 1 unsweetened tea from 6)The number of ways to select 3 drinks = 9C3 = (9 × 8 × 7)/(3 × 2 × 1) = 84Therefore, the probability of event 2 = 18/84 = 3/14

Event 3: Exactly one drink is a sweet tea. The probability of event 3 = (Number of ways in which one drink is a sweet tea and the other two are unsweetened teas) / (Number of ways to select 3 drinks)The number of ways in which one drink is a sweet tea and the other two are unsweetened teas = (3C1 × 6C2) = 45 (because you can choose 1 sweet tea from 3 and 2 unsweetened teas from 6)The number of ways to select 3 drinks = 9C3 = (9 × 8 × 7)/(3 × 2 × 1) = 84Therefore, the probability of event 3 = 45/84 = 15/28

Event 4: All three drinks are unsweetened teas. The probability of event 4 = (Number of ways in which all three drinks can be unsweetened teas) / (Number of ways to select 3 drinks)The number of ways in which all three drinks can be unsweetened teas = 6C3 = 20 (because you can choose 3 unsweetened teas from 6)The number of ways to select 3 drinks = 9C3 = (9 × 8 × 7)/(3 × 2 × 1) = 84 Therefore, the probability of event 4 = 20/84 = 5/21

For more question probability

https://brainly.com/question/25839839

#SPJ8

Answer:

d = 3.2

Step-by-step explanation:

1 * 3.2 = 3.2

Hence,

d = 3.2