5 Quick algebra 1 questions for 50 points!


Only answer if you know all 5, Tysm! :)

Answer:

165.0

30 plus 50 plus the 85 equals 165

The magnitude of the resultant force acting on the box is 126.4 pounds.

Hence the correct answer is C.

Given that Kiera pulls at an angle of 30below the horizontal and with a force of 80 pounds Nathan pulls at an angle of 50 degrees above the horizontal and with a force of 85 pounds.

We need to determine the magnitude of the resultant force acting on the box.

To find the magnitude of the resultant force acting on the box, we can use the law of cosines.

The law of cosines states that for any triangle with sides of lengths a, b, and c, and an angle θ opposite to side c, the following equation holds:

c² = a² + b² - 2ab × cos(θ)

In this case, we have a triangle formed by the two forces exerted by Keira and Nathan, and we want to find the magnitude of the resultant force, which corresponds to side c.

Let's assign the following values:

a = 80 pounds (force exerted by Keira)

b = 85 pounds (force exerted by Nathan)

θ = 180° - 30° - 50° (angle opposite to the resultant force)

θ = 100°

Now we can plug these values into the law of cosines equation:

[tex]F = \sqrt{80^2 + 85^2 -2\times 80 \times 85\times \cos100}[/tex]

Solving we get,

F = 126.4

Hence the magnitude of the resultant force acting on the box is 126.4 pounds.

Learn more about law of cosines click;

https://brainly.com/question/21634338

#SPJ4

No, because one x-value corresponds to two different y-values.

The table of value is given as:

x  2   2  3  4   5

y  1   4   4   2   5

From the above table, we have:

When x = 2, y = 1 and 4

This means that 1 value of x points to multiple values of y

The above means that the table does not represent a function

Read more about functions at:

https://brainly.com/question/2253924

#SPJ1

Answer:

Step-by-step explanation:

x + 7 = -9

Subtract 7 from both sides

x + 7 - 7 = -9 - 7

Simplify

x = -16

Answer:

x=-16

Step-by-step explanation:

x+7=-9

x=-9-7

x=-16

Answer:

There are two cases when the solution set of an inequality will be the empty set or the set of all real numbers.

The first case is when the inequality is always false no matter what value is chosen for the variable. For example, the inequality x > 5 has no solution because there is no value of x that is greater than 5. In this case, the solution set is the empty set.

The second case is when the inequality is always true no matter what value is chosen for the variable. For example, the inequality x > -∞ has infinitely many solutions because there is no value of x that is not greater than -∞. In this case, the solution set is the set of all real numbers.

Step-by-step explanation:

Using trigonometric relations, we will see that:

sin(θ ) = -0.8

For any point (x, y), the angle between the positive x-axis and the ray that connects the origin with the point (x, y) is:

θ = Atan(y/x)

In this case, the point is (3, -4), then the angle is:

θ = Atan(-4/3) = -53.13°

Then the sine of theta is:

sin(θ  = -53.13°) = -0.8

If you want to learn more about trigonometric functions:

https://brainly.com/question/8120556

#SPJ1

Answer:

You didn't finish the whole question.

Step-by-step explanation:

We have to calculate mean of the data.

Mean is the sum of numbers divided by total numbers included.

Mean=∑X/n

where n is the number.

Mean =(10+15+10)/3

=35/3

=11.67

in mathematics, a quantity that has a value intermediate between those of the extreme members of some set. numerous types of manner exist, and the method of calculating an average depends upon the relationship known or assumed to control the alternative members.

The mean, or average, is calculated by adding up the scores and dividing the whole by the number of scores. consider the following number set: 3, 4, 6, 6, 8, 9, 11. The mean is calculated in the following way: 3 + 4 + 6 + 6 + 8 + 9 + 15 = 51

Learn more about mean here

https://brainly.com/question/12892403

#SPJ2

Answer + Step-by-step explanation:

p(X=3) = the probability that X is equal to 1 or 2 or 3 minus (the probability that X is equal to 2 plus the probability that X is equal to 1)

Because ,when X = 2 or X = 1  the largest number is not 3 so we have to subtract those values .

……………………………………………………………

the probability that X is equal to 1 or 2 or 3 is :

[tex](\frac{3}{6} )^4 = \frac{81}{1296}[/tex]

Then

[tex]p\left( X=3\right) =\frac{81}{1296} -(\frac{1}{1296} +\frac{15}{1296}) =\frac{65}{1296}\\\\p\left( X=4\right) =\frac{4^4}{1296} -(\frac{1}{1296} +\frac{15}{1296}+\frac{65}{1296}) =\frac{175}{1296}\\\\p\left( X=5\right) =\frac{5^4}{1296} -(\frac{1}{1296} +\frac{15}{1296}+\frac{65}{1296}+\frac{175}{1296}) =\frac{369}{1296}[/tex]

Verification:

1+15+65+175+369+671 = 1 296

Answer:

See below.  To model with mathematics is to test ideas using math and computer programs to simulate an object or action.

Step-by-step explanation:

To "model with mathematics" means that equations and mathematical relationships will be employed to simulate an object or action instead of using the actual object or action.  One example would be the design of a roller coaster.  The forces inherent on a roller coaster design can be predicted using Newton's laws and other principles of physics.  F=ma may be used to predict the force pulling the car down the initial incline and that can be used to calculate speed at the bottom.  A change in the car's direction will also produce forces that may be calculated,  One might ask "Will this turn produce more force than the seat belt can safely handle?"  Rather than building a coaster and testing it with your business partner in the seat, a mathematical model can be used to determine the risks and maximum forces.  You'll have a much better chance of keeping your friend intact on the actual coaster.  Mathematical models are also used to predict weather, the impact of monetary policy of the economy, and even which Netflix movie you are most likely to enjoy.  The design of aircraft, ships, cars, and many other items are done using computer-aided design programs where the various forces can be modeled to determine optimum design without actually building the item.  This can save enormous amounts of time and money to be able to test ideas on the computer before starting actual assembly.

In order to be labeled overweight the weight of box should be of 34.15 ounces.

Given mean of 33 ounces, standard deviation=0.7 ounces. Production of packets of 32 ounces.

Because it is normally distributed samples are solved using the z score formula.

In this Z=X-meu/st

meu is sample mean and st is population standard deviation.

We have to find the z score and then p value from the z table.

meu =33 and st=0.7

Top 5% so X when Z has a p value of 1-0.05=0.95. So X when Z=1.645.

Z=(X-meu)/st

1.645=(X-33)/0.7

X-33=0.7*1.645

X-33=1.1515

X=1.1515+33

X=34.1515 ounces.

Hence to be labeled overweight the box must have 34.15 ounces weight.

Learn more about z test at https://brainly.com/question/14453510

#SPJ4

Answer:

33.55°

Step-by-step explanation:

let alpha be X

sin x= √11/6

sin x= 0.5527

x= sin-1 0.5527

x= 33.55°

Clara is 15 years old, and there are 120 coins on the box.

Each year her mom puts as many coins in her money box as how old she turns that day.

So on her first birthday, 1 coin is put in the box.

On her second birthday, 2 coins are put in the box

And so on.

So we have the simple summation:

[tex]\sum_{n = 1} n[/tex]

We know that the outcome of that summation is a number in the interval [110, 130]

If we know that the sum goes from n = 1 to n = N (N is the age of Clara) then we can rewrite the summation as:

[tex]N*(N + 1)/2[/tex]

Now we can solve:

[tex]N*(N + 1)/2 = 110\\\\N^2 + N = 220\\\\N^2 + N - 220 = 0[/tex]

The two solutions of the quadratic equation are:

[tex]N = \frac{-1 \pm \sqrt{1^2 - 4*1*(-220)} }{2} \\\\N = (-1 \pm 29.7) /2[/tex]

If we take only the positive solution:

N = (-1 + 29.7)/2 = 14.35

Now, notice that we got this number by taking the smallest possible number of coins (110) So we can round this to the next whole number, which is 15.

If N = 15, then the number of coins in the box is:

15*(15 + 1)/2 = 120

Which lies on the wanted interval.

If you want to learn more about summations:

https://brainly.com/question/542712

#SPJ1

Answer:

3 4/5

Step-by-step explanation:

If Natalie runs 5 miles each week and she already ran 1 1/5 then she will need to run 3 4/5.

5 - 1 1/5 = 3 4/5

Answer:

3 months

Step-by-step explanation:

Let x be the number of months CDs are added at Tom and Nita's respective rates of 1 and 5 CDs/month.

Tom's collection after x months is = 30 + 1x

Nita's collection after x months is  = 18 + 5x

At some point they will have equal numbers of CD's, so set the equations equal to each other:

30 + 1x = 18 + 5x

4x = 12

x = 3 months

At 3 months both Tom and Nita will have the same number of CDs.

Tom:  30 + 1*3 = 33 CDs

Nita:  18 + 5*3 = 33 CDs

x = 3

We can create a system of equations to represent the situation we have been given.

Creating the Equations

In this system, we can create an equation to represent both people's collections.

First, we can create Nita's.

All of this creates the equation: 5x + 18 = y.

Next, we can do the same to find Tom's equation.

This creates the second equation: 1x + 30 = y.

The system is:

5x + 18 = y

1x + 30 = y

Solving the System of Equations

One method to solve a system of equations is substitution. Substitution is when you substitute an expression for a variable. Since both expressions are set equal to y, we can substitute the expressions for y and set them equal to each other.

This creates the new equation: 5x + 18 = 1x + 30. Then, solve normally.

4x + 18 = 30

4x = 12

x = 3

This means after 3 months the number CDs will be equal.

A function assigns the value of each element of one set to the other specific element of another set. The correct option is A.

Suppose that the given function is

[tex]f:X\rightarrow Y[/tex]

Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

[tex]f^{-1}: Y \rightarrow X[/tex]

such that:

[tex]\forall \: x \in X : f(x) \in Y, \exists \: y \in Y : f^{-1}(y) \in X[/tex]

(and vice versa).

It simply means, the inverse of 'f' is undone operator, that takes back the effect of 'f'

The graph that represents the inverse of the given function is option A because graph A is showing more rapid growth as compared to the given graph.

Hence, the correct option is A.

Learn more about Inverse function:

https://brainly.com/question/19425567

#SPJ1

Answer: is D

Step-by-step explanation:

The standard form to 3 significant figure of  16.927 is 1. 69 × 10^-1

Given the value;
16.927 to convert to three significant figure

= 1. 69 × 10 ^ -1

Note that "2" cannot add up as 1 to  '9'

Thus, the standard form to 3 significant figure of  16.927 is 1. 69 × 10^-1

Learn about standard form here:

https://brainly.com/question/1708649

#SPJ1

Answer:

$0.64

Step-by-step explanation:

Cost for 8 gallons of gas

Credit Card at $3.77/gal

Cash at $(3.77 - 0.08)/gal:  $3.69/gal

(8 gal)*($3.77/gal) =  $30.16

(8 gal)*($3.69/gal) =  $29.52

Savings is $0.64

Answer: [tex][-3,7][/tex]

Step-by-step explanation:

The range of a function is the set of y-values

Answer:

12.5 m

Step-by-step explanation:

1st drop 50 m

2nd drop 50/2 = 25 m

3rd drop 25/2 = 12.5 m

Answer:

A

Step-by-step explanation:

Pangaea is the name for the land mass before the continents split. The continents would have been connected during that species life time.

It takes Preston 14 hours to repair the broken pipes.

Given Information

Cost of service call charged by Preston, the plumber, S = $50

Preston charges $5/hour.

Preston's charge per hour, P = $5

The total bill, B = $120

We have to calculate the number of hours Preston take to repair the broken pipes.

Calculating the Number of Hours

Total service charge of Preston = Total bill - Service Call Charge

= B - S

∴ Number of hours Preston took to mend the broken pipe is given by,

H = (B - S)/P

H = $(120 - 50)/$5

H = 70/5

H = 14 hours

Therefore, Preston took 14 hours to repair the pipes.

Learn more about hours here:

https://brainly.com/question/3913939

#SPJ4

Answer:

The required line can be found by substituting the slope and the given point in the slope intercept form of a line and is given by y=mx+c, where m is the slope and c is the y intercept.

Step-by-step explanation:

The equation of a parallel line to a linear function that passes through a point can be explained using the examples below.

We have,

The parallel line to a linear function that passes through a point can be explained using the examples below.

Example:

Let's find a line parallel to the linear function y = 3x - 2 that passes through the point (2, 5).

Step 1: Given linear function and point

Linear function: y = 3x - 2

Point: (2, 5)

Step 2: Determine the slope of the given linear function

The slope (m) of the given function y = 3x - 2 is 3.

Step 3: Use the slope to find the equation of the parallel line

Since the parallel line has the same slope (3), its equation will be

y = 3x + b, where "b" is the y-intercept that we need to find.

Step 4: Substitute the coordinates of the given point into the equation of the parallel line

Using the coordinates (2, 5) of the given point, we can solve for "b":

5 = 3(2) + b

5 = 6 + b

b = 5 - 6

b = -1

So, the equation of the line parallel to y = 3x - 2 and passing through the point (2, 5) is:

y = 3x - 1.

Thus,

The equation of a parallel line to a linear function that passes through a point can be explained using the examples above.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ7

The transformation is translation

Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.

The figure is attached below:

As per the definition the figure shows that size hasn't changed.

Hence, the transformation is translation.

Learn more about this concept here:

https://brainly.com/question/1761538

#SPJ1

The two combinations of cheese and pepperoni pizzas that Mrs. Taylor can purchase without exceeding her spending limit are; x + y ≥ 12 and

8x + 11y < 180

We are told that she needs twelve pizzas. The equation below represents the number of pizzas of the type she needs to buy;

x + y ≥ 12

Where;

x represents the number of pepperoni pizzas she can buy while keeping her limit of 12 pizzas.

y represents the number of cheese pizzas she can buy while keeping her limit of 12 pizzas.

We are told that she cannot spend more than 180 dollars. Thus, our inequality is now;

8x + 11y < 180

Where;

8x represents the amount of dollars per pepperoni pizza.

11y represents the amount of dollars per cheese pizza.

These equations show all possible solutions.

The purple area in the graph attachment is verified to show the possible combinations.

Read more about Linear Programming at; https://brainly.com/question/14309521

#SPJ1

simplify the radical by breaking the radicand up into a product of known factors,assuming positive real numbers.
Sorrry i cant write answer is that form but
the answer is 8 then square root of 5x rais to power 2 then write y raise to power3.

Answer:

Just look at the other answer

Step-by-step explanation:

if 1bag is 56.00

x bags= 1344.00

solution

[tex] \frac{1344.00}{56.00} = 24[/tex]

the trader bought 24 50kg bags of rice

PLEASE LIKE AND MARK AS BRAINIEST IF HELPFUL I HOPE SO

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

Work Shown:

[tex]\frac{\sin(B)}{b}=\frac{\sin(C)}{c}\\\\\frac{\sin(27)}{14}=\frac{\sin(82)}{c}\\\\c\sin(27) = 14\sin(82)\\\\c=\frac{14\sin(82)}{\sin(27)}\\\\c\approx 30.5375398\\\\c\approx \boldsymbol{30.5}\\\\[/tex]

I used the law of sines. Make sure your calculator is in degree mode.

The confirmation diagram shown below was made with GeoGebra. It is a free geometry and algebra app that I use all the time.

On average the more goals will a player scores for every additional hour of practice is 3/4.

Given a regression line for the data in the scatterplot which is shown in figure.

This question can be solved by finding the slope of the line.

Slope is the ratio of vertical change to horizontal change between two points on the line.

Here, we can find the slope by taking the two points which is on the line.

Let us take the two points be A(1.5,2) and B(6.5,6)

Now, we will find the slope using the formula, we get

m=(y₂-y₁)/(x₂-x₁) where (x₁,y₁)=(1.5,2) and (x₂,y₂)=(6.5,6)

Substitute the values in the formula, we get

m=(6-2)/(6.5-1.5)

m=4/5

The slope which we find is near to the slope 3/4.

Hence, the more goals will a player score for every additional hour of practice from the regression line is 3/4.

Learn more about Slope of line from here brainly.com/question/3493733

#SPJ4