Which of the following is the solution of One-fourth x + 5 = 7?

Given:

Given that the diameter of the circle is [tex]\frac{7}{2} \ cm[/tex]

We need to determine the radius, circumference in terms of π and circumference using π = 3.14.

Radius:

The radius of the circle can be determined using the formula,

[tex]r=\frac{d}{2}[/tex]

Substituting [tex]d=\frac{7}{2}[/tex], we get;

[tex]r=\frac{(\frac{7}{2})}{2}}[/tex]

Simplifying, we get;

[tex]r=\frac{7}{4} \ cm[/tex]

Thus, the radius of the circle is [tex]\frac{7}{4} \ cm[/tex]

Circumference in terms of π:

The circumference of the circle can be determined using the formula,

[tex]C=2 \pi r[/tex]

Substituting [tex]r=\frac{7}{4} \ cm[/tex], we get;

[tex]C=2 \pi (\frac{7}{4})[/tex]

[tex]C=\frac{7}{2} \pi \ cm[/tex]

Thus, the circumference in terms of π is [tex]\frac{7}{2} \pi \ cm[/tex]

Circumference using π = 3.14:

Substituting π = 3.14 in the circumference of the circle [tex]C=\frac{7}{2} \pi \ cm[/tex], we get;

[tex]C=\frac{7}{2}(3.14)[/tex]

[tex]C=10.99 \ cm[/tex]

Thus, the circumference of the circle is 10.99 cm

Answer: 25%

Step-by-step explanation:

[tex]\frac{425}{318.75}=\frac{100}{x}[/tex]

[tex]x=\frac{(318.75*100)}{425}\\x=75[/tex]

100-75=25

Answer:

The answer is 2.0190

Step-by-step explanation:

From the given question,

We recall that,

p = 141/241 = 0.5850

so, p = 0.5

The Hypothesis is:

H₀ : P = 0.5, this means that  H0:50% of the games played will be won

vs

H₁ : P > 0.5, This indicates that, win is greater than 0.5 due to home field advantages.

n=241,x=141

Then,

SD(p)=√(p*q/n)=√(0.5*0.5/141)=0.0421

z = p - p/ SD (p) = 0.5850 - 0.5/0.0421 = 0.085/0.0421 =2.0190

therefore, there is strong evidence that there is home field advantages in professional football.

Following are the calculation to the hypothesis test:

[tex]\to \hat{p}= \frac{141}{241}=0.5850 \\\\\to p=0.5[/tex]

Hypothesis:

[tex]H_{0}:P=0.5[/tex] implies [tex]H_0:50\%[/tex] of a games would be won.

vs

[tex]H_{1}:P>0.5[/tex] because of home-field advantages, the victory exceeds  [tex]0.5[/tex] . [tex]\to n=241 \\\\\to x=141\\\\\to SD(p)=\sqrt{(\frac{p\times q}{n})}=\sqrt{(\frac{0.5\times 0.5}{241})}=\sqrt{(\frac{0.25}{241})}= \sqrt{0.001}=0.0322 \\\\\to z=\frac{\hat{p}-p}{SD(p))}=\frac{0.5850-0.5}{0.0322}=\frac{0.085}{0.0322}=1.624\\\\ \to P(Z>1.624)=0.0521879[/tex]

conclusion [tex]P-value =0.0521879<0.05[/tex], As a result, we reject the null hypothesis, i.e. there's really significant evidence that home-field advantage exists in pro football.

Learn more:

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Answer:

  congruent triangles

Step-by-step explanation:

You can eliminate useless answers based on their wording. "Similar" anything cannot be used to prove congruence. "Rectangles" will not help you prove congruence of parallelogram sides. The only reasonable choice is ...

  congruent triangles

_____

Typically, a diagonal is drawn through the figure, and the two triangles created are shown to be congruent, often by ASA. Then, by CPCTC, sides of the parallelogram are shown to be congruent.

Answer: congruent

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

the incenter is found by constructing angle bisectors and then intersecting the three angle bisectors.

In Mathematics, we use algebraic expressions to solve problems. In this case, substituting the numbers of printed and plain shirts into the given expression determines the total cost, which is 66.

The subject of this question is in the discipline of Mathematics, specifically within algebraic expressions. The expression representing the total cost of buying shirts is 15p+12r, where p is the number of printed shirts and r is the number of plain shirts.

To find the total cost for buying two printed shirts and three plain shirts, we substitute p with 2 and r with 3 in the given expression.

So, the total cost becomes: 15*2 + 12*3 = 30 + 36 = 66. Therefore, the total cost of buying two printed shirts and three plain shirts is 66.

https://brainly.com/question/953809

#SPJ12

Final answer:

The total cost of buying two printed shirts and three plain shirts can be calculated by substituting into the expression 15p + 12r. The result is a total cost of $66.

Explanation:

The student is asking how to calculate the total cost of buying printed and plain shirts. The expression to find the total cost is given as 15p + 12r, where p is the number of printed shirts and r is the number of plain shirts. To find the total cost for two printed shirts and three plain shirts, we substitute p with 2 and r with 3 into the expression, which gives us:

Total Cost = 15(2) + 12(3)

Total Cost = 30 + 36

Total Cost = 66

Therefore, if you buy two printed shirts and three plain shirts, the total cost would be $66.

Answer:

It might be 414 miles per hour. Sorry, I don't have an explanation for now, SO SORRY!

Answer:

The answer to your question is 80 units²

Step-by-step explanation:

Data

R = (-6, -6)

U = (6, -2)

O = (4, 4)

T = (-8, 0)

Process

1.- Find the distance between R and U, and the points U and O

dRU = [tex]\sqrt{6 + 6)^{2} + (-2 + 6)^{2}}[/tex]

dRU = [tex]\sqrt{12^{2} + 4^{2}}[/tex]

dRU = [tex]\sqrt{144 + 16}[/tex]

dRU = [tex]\sqrt{160}[/tex] = 12.65

dUO = [tex]\sqrt{(4 - 6)^{2} + (4 + 2)^{2}}[/tex]

dUO = [tex]\sqrt{(-2)^{2} + (6)^{2}}[/tex]

dUO = [tex]\sqrt{4 + 36}[/tex]

dUO = [tex]\sqrt{40}[/tex] = 6.32

2.- Find the Area

Area = base x height

-Substitution

Area = 12.65 x 6.32

- Result

Area = 80 units²

Answer:

If the distribution is skewed right, then the mode is greater than the mean.

Step-by-step explanation:

There's a graph below that I hope will help!

The true statement is that the mode of the scores is greater than the mean score

From the question, we understand that:

The distribution is skewed to the right

For a right skewed distribution, the mean value is lesser than the mode value

i.e. mean < mode or mode > mean

Hence, the true statement is that the mode of the scores is greater than the mean score

Read more about right skewed distribution at:

https://brainly.com/question/13000783

Answer:

The answer is C.

Step-by-step explanation:

You can do it by solving both equations :

y = x³ - 8

Let y=0,

x³ - 8 = 0

x³ = 8

x = ³√8

= 2

x² + 5x + 6 = 0

(x+3)(x+2) = 0

x = -3

x = -2

So the domain for 1st equation is 2 and 2nd equation is -2 & -3.

In 1st equation, the answer cannot be option A & B and in 2nd equation, the answer is B.

Answer:

A) domain: x cannot equal −3, −2

Step-by-step explanation:

y = x^3 − 8

________

x^2 + 5x + 6

The function is undefined when the denominator goes to zero

x² + 5x + 6 = 0

x² + 3x + 2x + 6 = 0

x(x + 3) + 2(x + 3) = 0

(x + 2)(x + 3) = 0

x = -3, -2

Domain can take any value except -2 and -3

Answer:

smaller x: -4

larger x: 1

Step-by-step explanation:

We need to factor this. In order to do so, we need to find factor pairs of the coefficient of x^2 (which is 1 in this case) and of the constant (-4 in this case) such that they add up to 3.

Here, the factors of 1 are obviously just 1 and 1. The factors of -4 are (1, -4), (-1, 4), and (2, -2). Notice that 1 * 4 + 1 * (-1) = 3, so we know that our factor pair from 1 is (1, 1) and our factor pair from -4 is (-1, 4).

Then, we factor this quadratic into: (x - 1)(x + 4) = 0. Now, solve for x by setting each of these two factors equal to 0:

x - 1 = 0  ⇒  x = 1

AND

x + 4 = 0  ⇒  x = -4

So, the solutions are x = -4 and x = 1.

Hope this helps!

Answer:

smaller x= -4

larger x= 1

Step-by-step explanation:

x² + 3x - 4 = 0

x² + 4x - x - 4 = 0

x(x + 4) - (x + 4) = 0

(x - 1)(x + 4) = 0

x = -4, 1

Could it be a im doing the same thing

Answer: A which is x=-3

Step-by-step explanation:

You put 2x to the left hand side which makes it a negative. Then you move the 5 to the other side since 2x has a variable and 5 doesn't. You need to put one side of the equation with a variable and one not. Then 5 becomes -5 because you move it over. So it will be 6x-2x= - 7- 5.Then subtract 6x and 2x which is 4x. -7 subtract -5 equals -12. Divide -12 and 4 which makes it -x=3.

to answer this it's simple

the answer is 20,000

Answer:

The area of the circular ripple after t second is

A =25π t²

where A is in cm².

Step-by-step explanation:

Given that,

Circular ripple that travels outward at a speed of 5 cm per second.

It means that, the radius of the circular ripple increases at a seed 5 cm/ s.

Therefore the radius of the circular ripple after t seconds is

r(t)= 5t

where r(t) is in cm.

We know ,

The area of a circular object is = π r²

The area of the circular ripple after t second is

A= π(5t)²

 =25πt²

where A is in cm².

The area, A. of the circle in terms of the number of seconds, t, that have passed since the ball hits the lake is A(t)= 25t²π

The formula for calculating the area of the circular ripple as a function of time is expressed as:

A(t) = πr(t)²

Given that the ripple travels outward at a speed of 5 cm per second, hence;

r(t) = 5tcm/s

Substitute the radius into the formula to have:

A(t) = π(5t)²

A(t)= 25t²π

Hence the area, A. of the circle in terms of the number of seconds, t, that have passed since the ball hits the lake is A(t)= 25t²π

Learn more on area of circles here: https://brainly.com/question/16263780

Answer:

Maximum: C= 6(5) + 2y or C= 30 + 2y

Step-by-step explanation:

X can be greater than or equal to 0, but can also be less than or equal to 5.

Y is greater than or equal to 0.

4 times x then subtracted by y is greater than or equal to 1.

Since X can't go higher than 5, the maximum is 5.

Y can be anything since it can be greater than or egual to 0 and either way it would be greater than one.

I hope I could help!

Answer:

a= 11, b= 12

Opposite angles of parallelogram are equal.

m<D = m<B

9b-2=106°

9b= 108°

b= 12°

Sum of the adjacent angles of a parallelogram = 180°

m<B+m<C = 180°

106°+7a-3=180°

7a = 180°-106°+3

7a=77°

a= 11°

Answer:

3x + 5

Step-by-step explanation:

Add like terms together:

8x - 2 - 5x + 7

3x - 2 + 7

3x + 5

by the use of elimination method

make all coefficients of subject to be eliminated similar..by multiplying the coefficients with one another

for eqn(i)

5(-10y+9x=-9)

-50y+45x=-45

for eqn(ii)

9(10y+5x=-5)

90y+45x=-45

-50y+45x=-45

90y+45x=-45

...subtract each set from the other...

we get

-140y+0=0

y=0

from eqn(i)

10y+5x=-5

0+5x=-5

x= -1

The mean absolute deviation of the group of SAT scores is approximately 169.8.

To find the mean absolute deviation (MAD) of the group of SAT scores, we follow these steps:

1. Calculate the mean (average) of the scores.

2. Find the absolute deviation of each score from the mean.

3. Calculate the mean of these absolute deviations.

Let's proceed with the calculations:

1. Calculate the mean:

[tex]\[ \text{Mean} = \frac{1510 + 1480 + 2100 + 1800 + 1300 + 1250 + 1400 + 1430 + 1390 + 1520}{10} \][/tex]

[tex]\[ \text{Mean} = \frac{14,580}{10} \][/tex]

[tex]\[ \text{Mean} = 1458 \][/tex]

2. Find the absolute deviation of each score from the mean:

[tex]\[ \text{Absolute deviations: } |1510 - 1458| = 52, |1480 - 1458| = 22, |2100 - 1458| = 642, |1800 - 1458| = 342, \][/tex]

[tex]\[ |1300 - 1458| = 158, |1250 - 1458| = 208, |1400 - 1458| = 58, |1430 - 1458| = 28, |1390 - 1458| = 68, |1520 - 1458| = 62 \][/tex]

3. Calculate the mean of these absolute deviations:

[tex]\[ \text{MAD} = \frac{52 + 22 + 642 + 342 + 158 + 208 + 58 + 28 + 68 + 62}{10} \][/tex]

[tex]\[ \text{MAD} = \frac{1698}{10} \][/tex]

[tex]\[ \text{MAD} = 169.8 \][/tex]

Therefore, the mean absolute deviation of the group of SAT scores is 169.8 (rounded to the nearest tenth).

The mean absolute deviation of the group of SAT scores is 162 (rounded to the nearest tenth).

To find the mean absolute deviation (MAD) of a set of data, you first need to calculate the mean (average) of the data, then find the absolute difference between each data point and the mean, and finally, calculate the average of these absolute differences.

Calculate the mean of the given SAT scores: (1510 + 1480 + 2100 + 1800 + 1300 + 1250 + 1400 + 1430 + 1390 + 1520) / 10 = 14660/10

= 1466

Calculate the absolute deviation of each score from the mean: |1510 - 1466|, |1480 - 1466|, and so on.

This gives - 44+14+634+334+166+216+66+36+76+54

= 1620

Calculating MAD -

= 1620/10

= 162

The mean absolute deviation of the group of SAT scores is 162 (rounded to the nearest tenth).

Answer:

420 feet

Step-by-step explanation:

GIVEN: The High Roller wheel in Las Vegas has a diameter of [tex]520[/tex] feet and its base is [tex]30[/tex] feet off the ground. You board a gondola on the wheel and rotate [tex]240[/tex] degrees counterclockwise before the wheel temporarily stops.

TO FIND: How high above the ground are you when the wheel stops?

SOLUTION:

Consider the figure attached.

As wheel rotate counter clockwise [tex]240^{\circ}[/tex], its current position is [tex]120^{\circ}[/tex] clock wise.

Total height [tex]=260+30+h\rightarrow290+h[/tex]

Calculating value of [tex]h[/tex]

[tex]\sin 30^{\circ}=\frac{h}{260}\impliesh=260\sin30^{\circ}[/tex]

[tex]\implies h=260\times\frac{1}{2}=130feet[/tex]

Total height [tex]=290+130[/tex] feet

                    [tex]=420\text{ feet}[/tex]

Hence total height is 420 feet

Answer:

6.93 is you're answer.

Step-by-step explanation:

6.93/21 = 33%

Final answer:

The number of possible four-digit PIN combinations for an ATM, where no repetition of the same four digits is allowed, is 5040. This is calculated by multiplying the number of choices for each digit position, which are 10, 9, 8, and 7 respectively.

Explanation:

Calculating ATM PIN Code Combinations

To determine the number of possible four-digit PIN combinations for an ATM that does not allow the repetition of the same four digits (such as 5555), we have to consider how many choices we have for each digit. Since there are 10 possible digits (0-9) for each placement and repetition of the same four digits is not allowed, the first digit can be any of the 10 digits, the next digit can also be any of the 10 digits (except for the first digit), and so on.

The number of combinations can be calculated using factorial notation. For the first digit, there are 10 possibilities. For the second digit, there are 9 remaining possibilities (since the digit cannot be the same as the first), for the third digit, there are 8 possibilities, and for the fourth digit, there are 7 possibilities.

The calculation then becomes 10 x 9 x 8 x 7, which equals 5040 possible combinations. This shows that there are numerous ways to create a unique four-digit code without repeating the same digit four times.

Answer:

1/4 or 25%

Step-by-step explanation:

Given that:

If you reach into the bag and pull out one marble, so  the probability that it will be yellow is:

P (Yellow) = Number of yellow marbles in the bag / Number of marbles in the bag

= 3/12

= 1/4 or 25%

Hope it will find you well.

Answer:social reform:is a kind of social movement that aims to make gradual change, or change in certain aspects of society, rather than rapid or fundamental changes.

                                                                                   predestination:The act of predestining or the condition of being predestined.                                                                                                                                                                         revival:is an act or instance of reviving or the state of being revived.

Answer:

Social Reform: A kind of social movement that aims to make gradual change, or change in certain aspects of society, rather than rapid or fundamental changes.                                                                                

Predestination: The act of predestining or the condition of being predestined.                                                                                                                                                                        

Revival: An act or instance of reviving or the state of being revived.

Answer:Its B. -4 and 9

Step-by-step explanation:

Answer:

x = - 4, x = 9

Step-by-step explanation:

Given

x² - 36 = 5x ( subtract 5x from both sides )

x² - 5x - 36 = 0 ← in standard form

Consider the factors of the constant term (- 36) which sum to give the coefficient of the x- term (- 5)

The factors are - 9 and + 4, since

- 9 × 4 = - 36 and - 9 + 4 = - 5, thus

(x - 9)(x + 4) = 0

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 9 = 0 ⇒ x = 9

Answer:

-10,0

Step-by-step explanation:

(-10,0)

Answer:

C. f(x)=5x^2-4x+5 is the correct answer on edge 2021

Answer:

pi times d

Step-by-step explanation:the actuall formula is 2 pi r but since the radius times 2 is the diameer its pi times d hope this helps god bless

Answer:

c

Step-by-step explanation:

the circumference formula

Answer:

=452.16 ft^3

It will take 452.16 min.

Step-by-step explanation: