Jared and Zach are practicing their free throws. Jared attempted x shots and made 75% of them. Zach attempted 10 more shots than Jared did and made 80% of them. Together, they made a total of 101 shots. Which equation represents this situation? Select the correct answer. 0.75x = 0.8(x + 10) 0.75(x + 10) + 0.8x = 101 0.75x + 0.8x + 10 = 101 0.75x + 0.8(x + 10) = 101

Answer:

x < -29/5

Step - by - step explanation:

3 (2x + 9) < 1x - 2

6x + 27 < 1x - 2

6x -1x < -27 -2

5x < -29

x < -29/5

Answer:

B, 33%

Step-by-step explanation:

Let us find the original price of four chairs without the special deal, and compare it with the deal to find the percent savings.

Step 1:

A customer must buy 4 chairs costing $75 each to recieve the deal. Let us multiply 4 by 75 to find the total cost without the deal:

\(4*75=\\300\)

Step 2:

We now know the original cost of the 4 chairs, and the price of 4 chairs with a deal. Let us subtract the difference of costs and convert it into a percentage to find percent savings:

\(300-200=100\\\frac{100}{300} =\frac{1}{3}\)

\(\frac{1}{3}=33\)%

Therefore, B, the percent savings is 33%.

I hope this helps! Let me know if you have any questions :)

Answer:

A. 25°

Step-by-step explanation:

In triangle ABC:

<A + <B + <C = 180°

=> 45° + (2x - 15)° + 4x° = 180°

=> 6x° + 30° = 180°

=> 6x° = 150°

=> x° = 25°

Choose A.25°

Answer:

A. 25 degrees

x = 20

2(20) - 15 = 25 degrees

Answer: ≈ 8 (About 8)

Step-by-step explanation: The actual number if you want is 8.28571428571.

Mark Brainliest if this helped!

Answer:

8.2 would be the closest in decimals

Answer:

3.25 * .75 = $2.44

Step-by-step explanation:

Answer:

Your answer should be $2.44 or around there

Step-by-step explanation:

The sample size used in the analysis was 300 sales calls for the given standard error.

The standard error (SE) is a statistical sample population's approximate standard deviation. The difference between the population's computed mean and one that is widely regarded as correct is described by the standard error. The standard error tends to be reduced the more data points included in the mean computations.

Given that, Lori obtains a book adoption on 20%, and the proportion of 0.400.

The Standard error is given as:

SE = √[p(1-p)/n]

Rearranging for n we have:

n = p(1-p)/(SE²)

n = 0.20(1-0.20)/(0.0400)²

n = 300.25

Hence, the sample size used in the analysis was 300 sales calls.

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The complete question is:

To draw the digital circuit corresponding to the expression x(yz' + z), we can break it down into logical operations.

The given expression involves the logical operations of NOT, AND, and OR. In the circuit diagram, we would have three inputs: x, y, and z. Firstly, we need to calculate the complement of z (represented as z') using a NOT gate. The output of the NOT gate would then be connected to one input of the AND gate. The other input of the AND gate would be connected directly to the input y.

The output of the AND gate would be connected to one input of the OR gate. Finally, the input x would be directly connected to the other input of the OR gate. The output of the OR gate would be the result of the expression x(yz' + z).

The circuit would consist of an input x connected directly to an OR gate, while an input y would be connected to one input of an AND gate along with the complement of input z (z') obtained through a NOT gate. The output of the AND gate would be connected to the other input of the OR gate, and the output of the OR gate would represent the result of the given expression x(yz' + z).

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The area of region R, bounded by the parabola \(y=4-x^{2}\) and the line \(y = 1\) in the first quadrant, is \(2\sqrt{3}\) square units. The correct answer is the third option.

To find the area of region R, we need to determine the points where the parabola and the line intersect. Setting y equal to each other, we get \(4 - x^{2} = 1\). Rearranging the equation gives \(x^{2} =3\), which implies \(x=\pm\sqrt{3}\). Since we are only considering the first quadrant, the value of \(x\) is \(\sqrt{3}\).

To calculate the area, we integrate the difference between the two functions, with x ranging from \(0\) to \(\sqrt{3}\). The equation becomes \(\int\ {(4-x^{2}-1 ) dx\) from \(0\) to \(\sqrt{3}\). Simplifying, we have \(\int\ {(3-x^{2} ) dx\) from \(0\) to \(\sqrt{3}\). Integrating this expression gives \([3(x) - (x^{3} /3)]\) evaluated from \(0\) to \(\sqrt{3}\).

Plugging in the values, we get \([3\sqrt{3} - (\sqrt{3}^{3} /3)]-[3(0) - (0^{3} /3)]\). This simplifies to \([3\sqrt{3} - (\sqrt{3}^{3} /3)]\). Evaluating further, we have \([3\sqrt{3} - (\sqrt{3}^{3} /3)] = [3\sqrt{3} - (\sqrt{27}/3)] = [3\sqrt{3} - \sqrt{9}] = [3\sqrt{3} - 3] = 3(\sqrt{3} - 1)\).

Therefore, the area of region R is \(3(\sqrt{3} - 1)\)square units, which is equivalent to \(2\sqrt{3}\) square units.

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Answer:

Step-by-step explanation:

hello,

for \(ax^2+bx+c=0\)

\(\Delta = b^2-4ac\)

so here

\(\Delta = b^2-4*(-4)*(-11)=b^2-176\)

to have two complex solutions we need \(\Delta < 0\\\)

so \(b^2<176\)

\(<=> b < \sqrt{176}=13.266...\)

for instance we can take b = 0

hope this helps

Answer:

The correct answer is 12.

Step-by-step explanation:

i got it correct on my test, thanks to comment on the question above.

Answer:

x = 3.

Step-by-step explanation:

The parabola opens downwards.

it's x = 3 (because of the (x- 3))

The simplest form is (-2 ±√12)/2.

What is simplification?

To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.

Here, we have

Given: x = (-4 ±√48)/4

We have to simplify the given term.

x = (-4 ±√48)/4

x =  (-4 ±√12×4)/4

x =(-4 ±2√12)/4

Now, we take 2 as common and get

x = (-2 ±√12)/2

Hence, the simplest form is (-2 ±√12)/2.

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Trains leave the endpoint of the route every 8 minutes.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given information are,

Time taken by dog to meet the train = 4 minutes,

Time take by train to catch the dog = 12 minutes

Let x is the time when train leaves the route,

Since, the train catches up the dog in 12 minutes, and the dog meets the train in 4 min, so the equation,

12 - x = 4

x = 8

Trains leave the endpoint of the route every 8 minutes.

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Answer:

He now weighs 131 pounds.

Step-by-step explanation:

You can work backwards.

Past weight - 7 = 124

Past weight = 124 + 7

Past weight= 131

The statement that is NOT correct about hypothesis testing is: "We cannot eliminate both type l error and type II error at the same time."

In hypothesis testing, we aim to make a decision about a population parameter based on sample data. Type I error refers to rejecting a true null hypothesis, while Type II error refers to failing to reject a false null hypothesis. While it is not possible to completely eliminate both types of errors simultaneously, we can minimize the chances of committing either of them by choosing an appropriate significance level and conducting a power analysis.

Therefore, the statement that we cannot eliminate both Type I and Type II errors at the same time is incorrect.

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Answer:

Solve for x by simplifying both sides of the equation, then isolating the variable.

x=17

Step-by-step explanation:

\(\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}\)

We know that ,

\(Volume \: of \: cone = \frac{1}{3}\pi \: r {}^{2} h \\ \)

substituting the values in the formula ,

\(Volume = \frac{1}{3} \times 3.14 \times 9 \times 9 \times 13 \\ \\ \implies \: 1.05 \times 81 \times 13 \\ \\ \implies \: 1105.65 \: mm {}^{3} \)

hope helpful ~

Answer:

Step-by-step explanation:

0.3x – 2.1 / 2 = 0.4 ​

0.3x - 2.1 = 0.4 (2)

0.3x = 0.8 + 2.1

x = 2.90  

      0.3

x = 9.67

(a) There are not enough information to determine the total number of students in Mr. Garal's class.

The given information only tells us that there are 36 seniors in the class and that 30 students went on a field trip, but it doesn't provide any information about the total number of students in the class or the number of juniors in the class.

(b) We can calculate the number of students from the class who did not go on the field trip by subtracting the number of students who went on the field trip from the total number of students in the class (which we don't know). Therefore, we cannot answer this question with the given information.

(c) We know that there are 36 seniors in the class and that 5 seniors went on the field trip. Therefore, the number of seniors from the class who did not go on the field trip is 36 - 5 = 31.


In summary, we can determine that there are 36 seniors in Mr. Garal's class and that 5 of them went on a field trip, but we cannot determine the total number of students in the class or the number of students who did not go on the field trip. We can also determine that 31 seniors from the class did not go on the field trip.

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The explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

The given sequence is -4, 16, -64, 256,...

If we observe the sequence it is a geometric sequence

aₙ=a.rⁿ⁻¹

a is the first term and r is the common ratio

From the sequence the first term is -4 and common ratio is -4

aₙ=(-4).(-4)ⁿ⁻¹

Plug in the value n as 8

a₈=(-4).(-4)⁷

The value of minus four power seven is minus sixteen thousand three hundred eighty four

a₈=(-4)(-16384)

When four is multiplied with sixteen thousand three hundred eighty four we get sixty five thousand five hundred thirty six

a₈= 65536

Hence, the explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

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The tip of the minute hand moves approximately 6.28 inches when it moves from 12 to 10 o'clock.

The problem states that the minute hand of a clock is 6 inches long.

The minute hand moves from 12 to 10 o'clock.

We need to determine how far the tip of the minute hand moves.

Calculate the angle through which the minute hand moves. At 12 o'clock, the minute hand points directly upwards (0 degrees), and at 10 o'clock, it points slightly to the left.

The angle between the 12 and 10 o'clock positions can be calculated as follows:

The hour hand moves 30 degrees in one hour (360 degrees divided by 12 hours).

In two hours, it moves 60 degrees (30 degrees multiplied by 2).

Since the minute hand is 6 inches long, the distance it travels is equal to the circumference of a circle with a radius of 6 inches and an angle of 60 degrees.

Calculate the distance using the formula: Distance = (2πr * θ) / 360, where r is the radius and θ is the angle in degrees.

Substitute the values: Distance = (2 * π * 6 * 60) / 360.

Simplify: Distance = 2π inches.

The final answer is 2π inches, which is approximately 6.28 inches rounded to two decimal places.

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INCOMPLETE QUESTION

The minute hand of a clock is 6 inches long and moves from 12 to 10 o'clock. How far does the tip of the minute hand move? Express your answer in terms of x and then round to two decimal places.

we will show that if there exists some g(x) in F[x] such that p(x) does not divide g(x) and p(x) is not relatively prime to g(x), then p(x) is reducible in F[x].

Suppose there exists some g(x) in F[x] such that p(x) does not divide g(x) and p(x) is not relatively prime to g(x). Then, we can write gcd(p(x), g(x)) = d(x), where d(x) is a non-constant polynomial.

Since d(x) divides both p(x) and g(x), we can write p(x) = f(x) * d(x) and g(x) = h(x) * d(x) for some polynomials f(x) and h(x) in F[x]. Note that neither f(x) nor h(x) is a constant polynomial, since d(x) is non-constant.

Thus, we have expressed p(x) as a product of non-constant polynomials, namely p(x) = f(x) * d(x), which shows that p(x) is reducible in F[x].

Conversely, suppose that p(x) is reducible in F[x]. Then, we can write p(x) = f(x) * g(x), where f(x) and g(x) are non-constant polynomials in F[x].

Consider the polynomial g(x) in F[x]. Since p(x) = f(x) * g(x), it follows that p(x) divides g(x) or p(x) is relatively prime to g(x). Thus, we have shown that for every g(x) in F[x], either p(x) divides g(x) or p(x) is relatively prime to g(x).

Therefore, we have shown that p(x) is irreducible in F[x] if and only if for every g(x) in F[x], either p(x) divides g(x) or p(x) is relatively prime to g(x).

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Three reasons why protestors in an advocacy campaign should avoid using violence during their protest are - safety concerns, damage to the cause and legal repercussions.

What is violence?

According to the definition of violence, it is "the intentional use of physical force or power, threatened or actual, against oneself, another person, or against a group or community, which either results in or has a high likelihood of resulting in injury, death, psychological harm, maldevelopment, or deprivation."

The three reasons are -

Safety concerns: Violence during protests can lead to serious harm to both protestors and bystanders. The use of violence can also result in police or military intervention, leading to more harm and arrests.

Damage to the cause: Protests that turn violent can damage the credibility and legitimacy of the cause being advocated for. Violence can overshadow the message of the protest and create a negative perception of the movement in the public eye.

Legal repercussions: Violent protests can result in legal repercussions, including arrests and criminal charges. This can harm individual protestors and the broader advocacy campaign. Additionally, it can lead to legal restrictions on future protests or even the banning of the advocacy group.

Therefore, the reasons are safety, damage to cause and legal consequences.

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The maximum distance is 34.4 miles

Given that:

The ride costs $1.45 for the first ride, and $1.25 for each additional mile or part thereof.

Having $42.7, the maximum distance we can ride is given as:

The maximum distance is 34.4 miles

Answer:

\(2 \sqrt[]{7} , and -2\sqrt[]{7}\)

Step-by-step explanation:

or:

x=5.29150262…,−5.29150262

The least amount of fencing required to enclose a rectangular pasture of 320,000 square meters is 600 meters by 533.3 meters. This is because the length of the sides is determined by the formula a=\(320,000\)b, where a is the area of the pasture and b is the length of the sides.

By solving for b, we get b=320,000a, and so a=600 and b=533.3.

Therefore, the dimensions of the pasture require 600 meters of fencing along one side, and 533.3 meters along the other side. No fencing is required along the river.

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When estimating population parameters, a point estimate is: a population parameter

Point estimates are statistical estimates used to approximate population parameters such as mean, proportion or variance that remain unknown.

They provide one value as an approximation for unknown parameters in a population sample that may or may not match up exactly with true population value; nevertheless they serve as reasonable approximations.

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Answer:

slope is zero

Step-by-step explanation:

every y=9 then the line is parallel to x axiom