11. Which expression has the least value?
B √81 - √25
C √64 + √25
D √64 - 31

Answer: 4.6+.5m=13.60 , m=18

Step-by-step explanation:

4.6+.5m=13.60

.5m=13.60-4.6

.5m=9

m=18

Answer:

1/6

Step-by-step explanation:

There are six possible values of her roll...if is a fair die '4' will have a 1 out of 6 chance of being rolled

Answer:

There is a 1 in 6 chance (1/6) chance Gia lands on 4

Step-by-step explanation:

Answer: -26 feet

Step-by-step explanation:

A median in a right triangle joining the right angle to the hypothenuse has the same length as the segment connecting the midpoints of the legs.

The median equals half the hypotenuse

In triangle ABC where ∠B = 90° BD is median

AD = DC median divides into two equal part

DX ⊥ BC

BX = XC = BC/2

DX = AB/2

By Pythagorean theorem

BD² = DX² + BX²

BD² = BC²/4 + AB²/4

BD² = AC²/4

BD = AC/2

Now in triangles BXD and DXC

DX = DX ( common )

AB║ DX

∠BXD = ∠DXC (as corresponding angles )

BX = XC (corresponding side)

By SAS congruency

ΔBXD ≅ ΔDXC

BD = DC

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we have the expression

Solve for y

That means

Isolate the variable y

so

step 1

Multiply by 4 both sides to remove the fractions

step 2

subtract y both sides

step 3

Adds 48 both sides

step 4

Divide by 8 both sides

therefore

Given :

A Straight line passes through A(-2,1) and B(2,-k).

The  line is perpendicular to a line 3y+2x=5 .

To Find :

The value of k.

Solution :

Let, slope of line is m.

We know, product of slope of in straight line is -1.

\(m \times \dfrac{-2}{3} = -1\\\\m = \dfrac{3}{2}\)

We know, slope is given by :

\(\dfrac{y_2-y_1}{x_2-x_1} = \dfrac{3}{2}\\\\\dfrac{1-(-k)}{-2 - 2} = \dfrac{3}{2}\\\\\dfrac{1+k}{-4} = \dfrac{3}{2}\\\\k = -7\)

Therefore, the value of k is -7.

Average is determined by the sum of test scores divided by total number of tests. This can be represented in this equation:

95 + X / 2 = 92 ⇒ Multiply both sides by 2 to get of the divided by 2

95 + X /2 (2) = 92 (2)

95 + X = 184 ⇒ Subtract 95 from both sides to isolate x

95 -95 + X = 184 -95

X = 89

Therefore, they must get at least 89% to maintain an A.

For the given congruent triangles, the values of x = -1 and y = 3.

Two triangles are congruent if all three corresponding sides are equal and all three corresponding angles are equal. These triangles can be moved, rotated, flipped, and flipped to look identical. When rearranged they match each other.

The congruence symbol is "≅".As both the triangles are congruent therefore their corresponding sides will be equal.

3y + x = y + 5 ...........(1)

y - x = x + 5 ..............(2)

Equation

1:3y + x = y + 5

3y - y = 5 - x

2y = 5 - x

x = 5 - 2y ..............(3)

Substitute this value of x in equation (2)

y - x = x + 5 y = x + x + 5y

= 2x + 5 y = 2(5 - 2y) + 5y

= 10 - 4y + 54y + y = 15

5y = 15 y = 15/ 5

y = 3

Substitute this value of y in equation (3) x = 5 - 2(3) = 5 - 6 = -1

Therefore, x = -1 and y = 3

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The linear equation doesn't have a solution.

The linear equation given is illustrated as: 4x-(2x-1) = x+5+x-6

This will be solved thus:

4x - 2x + 1 = x+5+x-6

4x - 2x + 1 = 2x - 1.

2x + 1 = 2x - 1

Collect like terms

2x - 2x = -1 - 1

0 = -2

This illustrates that the equation doesn't have a solution.

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Answer:

254 inches squared

Step-by-step explanation:

Hi there!

\(A=\pi r^2\) where r is the radius of the circle

The radius is equal to half the diameter. Given that the diameter is 18 inches, we know that the radius of the circular plate is 9 inches. Plug this into the equation:

\(A=\pi (9)^2\\A=81\pi \\A=254\)

Therefore, the area of the plate is approximately 254 inches squared.

If this is not an answer choice, the question may have been asking for the radius of the circle rather than the area.

I hope this helps!

(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.

(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:

PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)

PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)

Taking the cross product of PQ and PR, we have:

n = PQ x PR = (9, 1, -2) x (10, 4, 1)

Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.

(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:

|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)

Evaluating the magnitude gives |n| = \(\sqrt\)(811).

The area of triangle PQR is then:

Area = |n| / 2 = \(\sqrt\)(811) / 2.

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Answer:a

Step-by-step explanation:

i know

Answer:

5

Step-by-step explanation:

633 yess sjs this is rhe im doing this for points

Answer: V=a3

Step-by-step explanation:

The number of ways to  match 5 of 6 numbers is 6 ways

The number of ways to  match 4 of 6 numbers is 15 ways

The number of ways to  match 3 of 6 numbers is 20 ways

To calculate number of ways to match 5 of 6 numbers we have to use to formula:

\(nCr =\frac{n!}{(n - r)! . r !}\)

\(6C5=\frac{6!}{(6-5)! . 5!}\)

\(6C5=\frac{6!}{(1)! . 5!}\)

\(6C5=\frac{6.5.4.3.2.1}{1.5.4.3.2.1}\)

\(6C5=\frac{6}{1}\)

\(6C5= 6 \ ways\)

∴ 6 ways are to match 5 of 6 numbers

To calculate number of ways to match 4 of 6 numbers we have to use to formula:

\(nCr =\frac{n!}{(n - r)! . r !}\)

\(6C4=\frac{6!}{(6-4)! . 4!}\)

\(6C4=\frac{6!}{(2)! . 4!}\)

\(6C4=\frac{6.5.4.3.2.1}{2.1.4.3.2.1}\)

\(6C4=\frac{30}{2}\)

\(6C4= 15 \ ways\)

∴ 15 ways are to match 4 of 6 numbers

To calculate number of ways to match 4 of 6 numbers we have to use to formula:

\(nCr =\frac{n!}{(n - r)! . r !}\)

\(6C3=\frac{6!}{(6-3)! . 3!}\)

\(6C3=\frac{6!}{(3)! . 3!}\)

\(6C3=\frac{6.5.4.3.2.1}{3.2.1.3.2.1}\)

\(6C3=\frac{120}{6}\)

\(6C3= 20 \ ways\)

∴ 20 ways are to match 3 of 6 numbers

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Answer: 3,600

dont quote me on it doing it the way i learned how to lol

Step-by-step explanation:     Volume = length x width x height.

Answer:

917.33

Step-by-step explanation:

Top conic volume formula: ⅓ r²h=⅓(16/2)²*(18-12.5)

                                                      =⅓8²*5.5

                                                      =⅓352

                                                      =117.33

Volume formula of a cylinder: V=r²h

                                                =8²*12.5

                                                =800

117.33+800=917.33

The correct answer is option a. $7,594.46.

To calculate the amount you would reduce the amount you owe in the first year, we can use the formula for the equal installment of a loan. The formula is:

Installment = Principal / Number of Installments + (Principal - Total Repaid) * Interest Rate

In this case, the principal is $45,000, the number of installments is 5, and the interest rate is 8.5%.

Let's calculate the amount you would reduce the amount you owe in the first year:

Installment = $45,000 / 5 + ($45,000 - $0) * 0.085Installment = $9,000 + $3,825

Installment = $12,825

Therefore, you would reduce the amount you owe by $12,825 in the first year.The correct answer is option a. $7,594.46.

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Therefore, the probability that the selected tick is also a carrier of Lyme disease, given that it carries HGE, is approximately 0.999 or 99.9%.

To find the probability that the selected tick is also a carrier of Lyme disease given that it carries HGE, we can use the concept of conditional probability.

Let's define the following events:

A: The tick carries Lyme disease

B: The tick carries HGE

We are given:

P(A) = 0.18 (probability of a tick carrying Lyme disease)

P(B) = 0.07 (probability of a tick carrying HGE)

P(A ∩ B) = 0.07 (probability of a tick carrying both Lyme disease and HGE)

The probability we want to find is P(A|B), the probability of the tick carrying Lyme disease given that it carries HGE.

We can use Bayes' theorem to calculate this:

P(A|B) = (P(B|A) * P(A)) / P(B)

P(B|A) represents the probability of a tick carrying HGE given that it carries Lyme disease. We are not given this information directly, so we need to calculate it.

P(B|A) = P(A ∩ B) / P(A)

= 0.07 / 0.18

= 0.3889

Now we can substitute this value into Bayes' theorem:

P(A|B) = (0.3889 * 0.18) / 0.07

= 0.999

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Answer:

x=105 hope it helps ur day will nice

Part A - 25 tickets sold, and the product of the price per ticket and the number of tickets sold should give the total amount raised.

Part B - The price of each floor seat ticket is 37.23.

Part A: Let x be the price of each floor seat ticket. Since the theater company sold 25 tickets and raised 930.75, we can create the equation:

25x = 930.75

We use 25x because there were 25 tickets sold, and the product of the price per ticket and the number of tickets sold should give the total amount raised.

Part B: To solve for x, we can divide both sides of the equation by 25:

25x/25 = 930.75/25

x = 37.23

Therefore, the price of each floor seat ticket is 37.23.

We can check that our solution is correct by substituting x=37.23 back into the original equation:

25(37.23) = 930.75

This equation is true, which confirms that our solution is correct.

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The total arc length AB that the pendulum travels is approximately 13.96 inches.

To find the total arc length traveled by the pendulum, we can use the formula for the arc length of a pendulum given by:

Arc length (s) = θ × r

where θ is the angle in radians and r is the length of the pendulum.

However, in this case, we are given the angle in degrees, so we need to convert it to radians. The formula for converting degrees to radians is:

θ (in radians) = (π/180) × θ (in degrees)

Given that the angle is 80°, we can convert it to radians as follows:

θ (in radians) = (π/180) × 80° = (4π/9) radians

Now, we can calculate the arc length:

Arc length (s) = (4π/9) radians × 10 inches

The total arc length traveled by the pendulum is therefore:

Arc length (s) = (40π/9) inches

To approximate the answer, we can use the value of π as approximately 3.14:

Arc length (s) ≈ (40 × 3.14/9) inches

Arc length (s) ≈ 13.96 inches

Therefore, the total arc length AB that the pendulum travels is approximately 13.96 inches.

Please note that this calculation assumes that the pendulum swings in a perfect arc without any friction or external factors affecting its motion. In reality, there may be slight variations due to factors such as air resistance or imperfections in the pendulum's motion.

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The point prevalence of brilliance at the end of Week 1 is 0.08 or 8%.

The point prevalence of brilliance at the end of Week 2 is 0.17 or 17%.

The point prevalence of brilliance at the end of Week 3 is 0.33 or 33%.

Using person-weeks as denominator, the incidence of brilliance over the course of the 10-week course is 0.017 or 1.7%

In epidemiology context, brilliance can be calculated through calculating point prevalence, cumulative incidence, and incidence rate. The provided data table can be used to determine the point prevalence, incidence, and incidence rate of brilliance among PHE 450 students. So, the calculations of point prevalence, cumulative incidence, and incidence rate based on the provided data are as follows:

The point prevalence of brilliance at the end of Week 1 can be calculated by the following formula; Point prevalence = Total number of existing cases at a given time ÷ Total population at that time

Student #8 was the only existing case of brilliance at the beginning of Week 1, so the point prevalence of brilliance at the end of Week 1 is; Point prevalence = 1 ÷ 12 = 0.08 or 8%.

The point prevalence of brilliance at the end of Week 2 can be calculated by the following formula; Point prevalence = Total number of existing cases at a given time ÷ Total population at that time

Student #3 and Student #8 were existing cases of brilliance at the beginning of Week 2, so the point prevalence of brilliance at the end of Week 2 is; Point prevalence = 2 ÷ 12 = 0.17 or 17%.

The point prevalence of brilliance at the end of Week 3 can be calculated by the following formula; Point prevalence = Total number of existing cases at a given time ÷ Total population at that time

Student #3, #4, #6, and #8 were existing cases of brilliance at the beginning of Week 3, so the point prevalence of brilliance at the end of Week 3 is; Point prevalence = 4 ÷ 12 = 0.33 or 33%.

The incidence of brilliance can be calculated by the following formula; Incidence = Total number of new cases ÷ Total person-weeks of observation

Student #5 and Student #7 developed brilliance during the 10-week course, so the incidence of brilliance over the course of the 10-week course is; Incidence = 2 ÷ 120 = 0.017 or 1.7%.

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Answer:

a. Total of 45 students.

b. 18 Boys.

Answer:

There are 45 students and 18 boys in the class

c ccccccccccccccccccccccccccccc

Answer:

(2 and 3 fourths)(5 and 1 third)

=14.66

Answer:

The right solution is "$ 60,887.28". A further explanation is provided below.

Step-by-step explanation:

The given values are:

Sticker price,

= $63,000

Dealer cost,

= $56,904

Offer,

= 7%

Now,

The 7% dealer cost will be:

= \(\frac{7}{100}\times 56,904\)

= \(3,983.28\) ($)

hence,

Amount offered will be:

= \(56,904+3,983.28\)

= \(60,887.28\) ($)

Answer:

Slope: 4

Y-interecept: -2

Step-by-step explanation:

To find the slope, use rise over run. Go up from the y-intercept and over until you hit another exact point.

To find the y-intercept, just find the point that is on the y-axis.