B

А

С

T

D

© 2016 Strong Mind. Created using GeoGebra.

In circle T, m AB = (3x + 9° and mCD = (11x – 71).

What is the measure of AB?

61°

37°

10°

39°

Answer: d) 23

Step-by-step explanation:

Consider matrix [tex]\left[\begin{array}{cc}a&b\\c&d\end{array}\right][/tex]. The determinant is: ad - bc

In the matrix given, a = 5, b = -1, c = 3, d = 4

det A = ad - bc

        = 5(4) - 3(-1)

        = 20 - (-3)

        = 20 + 3

        = 23

Answer:

the answer would be (4b)/(a^4)

Step-by-step explanation:

Answer:

i think its D. i might be wrong sorry.

Step-by-step explanation:

Answer:D

Step-by-step explanation:

ones that go down are negative, and this is a cubic function

Answer:

The time taken for the upward motion is 1 second. The same time is taken for the downward motion

It reaches a maximum height of 4.9 meters.

Step-by-step explanation:

The equation of motion is:

[tex]x(t) = -4.9t^{2} + 9.8t[/tex]

Since the term which multiplies t squared is negative, the graph is concave down, that is, x increases until the vertex, where it reaches it's maximum height, then it decreases.

Vertex of a quadratic equation:

Quadratic equation in the format [tex]x(t) = at^{2} + bt + c[/tex]

The vertex is the point [tex](t_{v}, x(t_{v}))[/tex], in which

[tex]t_{v} = -\frac{b}{2a}[/tex]

In this question:

[tex]x(t) = -4.9t^{2} + 9.8t[/tex]

So [tex]a = -4.9, b = 9.8[/tex]

Vertex:

[tex]t_{v} = -\frac{9.8}{2*(-4.9)} = 1[/tex]

The time taken for the upward motion is 1 second.

[tex]x(t_{v}) = x(1) = 9.8*1 - 4.9*(1)^{2} = 4.9[/tex]

It reaches a maximum height of 4.9 meters.

Downward motion:

From the vertex to the ground.

The ground is t when x = 0. So

[tex]-4.9t^{2} + 9.8t = 0[/tex]

[tex]4.9t^{2} - 9.8t = 0[/tex]

[tex]4.9t(t - 2) = 0[/tex]

[tex]4.9t = 0[/tex]

[tex]t = 0[/tex]

Or

[tex]t - 2 = 0[/tex]

[tex]t = 2[/tex]

It reaches the ground when t = 2 seconds.

The downward motion started at the vertex, when t = 1.

So the duration of the downward motion is 2 - 1 = 1 second.

Answer:

It is a colony. hope i helped :)

Step-by-step explanation:

At least 2,000

Step-by-step explanation:

I divided 8,822 by 3 and got 2940.66666....

If you basically round that, you get to 2,000

You could get 3,000 but they need to share their profit equally

(hopefully this helped :P)

Answer:

the answer is A

Step-by-step explanation:

Answer:

Correct answer is A

Step-by-step explanation:

Hope this helps you

Answer:

The sampling distribution of the sample proportion of people who answer yes to the question is approximately normal with mean of 0.75 and standard deviation of 0.0791.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

[tex]p = 0.75, n = 30[/tex]

So

[tex]\mu = 0.75, s = \sqrt{\frac{0.75*0.25}{30}} = 0.0791[/tex]

The sampling distribution of the sample proportion of people who answer yes to the question is approximately normal with mean of 0.75 and standard deviation of 0.0791.

Answer:

  8 minutes

Step-by-step explanation:

Let t represent the time for one mile. We are told the ratio of minutes to miles is constant, so we have the proportion ...

  time / distance = t/(1 mi) = (208 min)/(26 mi)

Multiplying both sides of the equation by (1 mi), we have ...

  t = (208/26) min = 8 min

Geri's average pace was 8 minutes to run 1 mile.

Answer:

A)24.8in

Step-by-step explanation:

17^2 + 18^2 =613

sq root of 613 = 24.758...

24.8in

Answer:

1,800 ft

Step-by-step explanation:

Rebecca will walk in the pattern of a regular polygon with 'n' sides and internal angles of 160 degrees (180 at a straight line - 20 degrees from each turn).

The equation that describes the internal angle of a regular polygon is:

[tex]A = \frac{(n-2)*180}{n}[/tex]

For A = 160 degrees:

[tex]160n=(n-2)*180\\(180-160)n=360\\n=18\ sides[/tex]

If each side is 100 ft long, the total distance that Rebecca has walked is:

[tex]d = 18*100\\d=1,800\ ft[/tex]

She walked 1,800 ft.

Answer:

t = 3 seconds

Step-by-step explanation:

16t^2=144

Simplify by dividing both sides by 16:

t^2=9

t=3

Hope this helped!

Answer:

  16 years

Step-by-step explanation:

The rule of 72 says you can estimate the doubling time in years by dividing 72 by the interest rate in percent.

__

For an interest rate of 4.5%, the rule of 72 says the doubling time is ...

  72/4.5 = 16 . . . years

It will take about 16 years for the investment to double in value.

Answer:

-3-i

Step-by-step explanation:

imaginary roots always occur in pairs.

so second root=-3-i

Answer:

A) -3-i

Step-by-step explanation:

imaginary roots always occur in pairs.

Answer:

The volume of the cone = 28 inch³

Step-by-step explanation:

First let's consider the formula for the volume of the shapes

For cylinder

Volume= πr²h

For cone

Volume= 1/3 πr²h

So we'd notice that no much difference except that the volume if a cylinder is divided by two to get that off a cone.

So if the volume of the cylinder is

84π inch

The volume of the cone is 84/3 = 28

The volume of the cone = 28 inch³

Answer:

22cm

See explanation below

Step by step explanation:

The question is incomplete without the diagram of the shape or its dimensions.

From the question, we are to determine the perimeter of the circle.

Let's consider the following question by determining the perimeter of a circle. If diameter is 7cm. Use pi as 3.14.

Perimeter of circle = circumference of circle

circumference of circle = 2πr

Radius = diameter/2 = (7/2)cm

circumference of circle = 2πr

= 2×π×(7/2) = (14/2)×3.14

= 7×3.14

=21.98cm

circumference of circle = 22cm (nearest tenth)

Perimeter of circle = 22cm

Answer:

3

Step-by-step explanation:

you are right

Answer:

2b + 3t = 60

Step-by-step explanation:

2b is the number of wheels on a bicycle

3t is the number of wheels on a tricycle

and 60 is the total number of wheels

Answer:

9800Joules

Step by step Explanations

Before we can set the integral up, let the upper half the aquarium be divided into horizontal slices for easy calculation

Then we will represent distance from the top of the tank as X and also

2 its thickness as ∆x

We will be working on the horizontal slices , since in the horizontal slices each drop of water in a given slice will be have the same distance from the top of the tank.

Given that An aquarium has;

Length = 8 m long,

Width = 1 m wide,

Dept =1 m deep

And ∆x m,

density of water is 1000 kg/m3

g = 9.8 m/s2

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

Answer:

The answer is 4600. 10 with the exponent of 2 is 100, so 100 times 46 is 4600. Hope this helps;)

Step-by-step explanation:

Answer:

9 losts

The team had 14 draws which is 14points. So you will substrate 14points from the total 50point, which will left with 36point.

The 36point constitutes 12 wins

Therefore 12wins + 14draws = 26 matches.

You then substrate 26 matches from the 35total matches to get your lose matches.

: 35 - 26 = 9

Therefore, there was 9 lost matches

Answer: Accommodation

Step-by-step explanation:

Accommodation is the adjustment of the optics of the eye to keep an object in focus on the retina as its distance from the eye varies.

Answer:

hi there, the answer is

A=45 cm2

Step-by-step explanation:

A= 1/2 x 10 x 9

A=5 x 9

A=45 cm2

Answer:

brittany is 42

Step-by-step explanation:

if he is 40 years older than her and the sum of there ages is 82

82-40 = 42

Answer: x<69

Step-by-step explanation:

For this problem, we solve is just as we would if it was an equal sign.

x+9<78       [subtract 9 on both sides]

x<69

Answer:

14 hours

Step-by-step explanation:

336/$24 = 14 hours

Answer: 14 hours

Step-by-step explanation:

Total charges = 336

Rate per hour = 24

No. of hours worked

= 336 / 24 = 14 hours

Answer:

PQ = 6

Step-by-step explanation:

Using tangent-secant theorem,

(PQ)² = (PR)(PS)

(PQ)² = (4)(9)

(PQ)² = 36

Taking square root on both sides, we get

PQ = 6

Answer:

80 g

Step-by-step explanation:

mass of sanitizer = 400 g

percentage of alcohol = 24%

mass of alcohol in the sanitizer = 24% of 400 g = 0.24 x 400 = 96 g

this means that the mass of other chemicals = 400 - 96 = 304 g

If alcohol content is increased to 30% by removing more of the other chemicals, then mass of alcohol will still remain 96 g

this means that 96 g becomes 30% of the resulting hand sanitizer, we write mathematically as

96 g = 30% of y

where y is the new mass of the sanitizer

96 = 0.3y

y = 96/0.3 = 320 g

The remaining mass of other chemicals  = 320 - 96 = 224 g

the total mass of other chemical lost is

304 - 224 = 80 g

Answer:

(4,2). DEPENDENT

Step-by-step explanation:

As each equation consist on two variable, both can be represented graphically on a cartesian plane. First, each expression is rewritten in explicit form:

[tex]y = 6 - x[/tex] (red line) and [tex]y = x - 2[/tex] (blue line)

By the resource of graphing software, the solution is (4,2). The representation is presented below as attachment. As solution exists, both expression are linearly DEPENDENT.

Answer:

The score that separates the lower 5% of the class from the rest of the class is 55.6.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

[tex]\mu = 73, \sigma = 10.6[/tex]

Find the score that separates the lower 5% of the class from the rest of the class.

This score is the 5th percentile, which is X when Z has a pvalue of 0.05. So it is X when Z = -1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.645 = \frac{X - 73}{10.6}[/tex]

[tex]X - 73 = -1.645*10.6[/tex]

[tex]X = 55.6[/tex]

The score that separates the lower 5% of the class from the rest of the class is 55.6.