y= -4x - 7

Please help

The expressions that are equivalent to 3^8 are:

We have to solve these out

3^8. = 6561

From the options

A. 3^2x3^4

= 9 x 81

= 729

B  3²x3^6

= 9 x 729

= 6561

C.  3^16/3^2

= 43046721/9

= 4782969

d. 3^12/3^4

= 531441 / 81

= 6561

E.  (3^4)²

= 3⁴ x 3⁴

= 3⁴⁺⁴

= 3⁸

= 6561

F. (3¹)^7

= 3⁷

= 2187

The expressions that are equivalent to 3^8 are:

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it would be 240 men

Step-by-step explanation:

i took the same test

Answer:

240

Step-by-step explanation:

I took the same test just trust me

Answer:

Line segment- a portion of a line with two endpoints.

Ray- a line with an initial endpoint and then extends infinitely.

Opposite rays- two rays that have the same initial point and extend infinitely in opposite directions in a straight line.

Parallel lines- lines that don't intersect

Collinear- two or more points that lie on the same line.

Coplanar- three or more points that lie in the same plane.

Plane- a flat surface that consists of at least three noncollinear points.

Angle bisector- a ray that divides an angle into two angles that are congruent.

Midpoint- a point that divides a segment into two congruent segments.

Perpendicular lines- two lines that intersect to form a right angle.

hope this helps! :-)

Answer:

64°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

let the third angle be x , then

x + 90° + 26° = 180°

x + 116° = 180° ( subtract 116° from both sides )

x = 64°

the other angle is 64°

35 is a reasonable prediction of the number of times he will select 2 yellow socks?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain to occur. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

In probability theory, an event is a set of outcomes or a subset of a sample space. In simpler terms, an event is anything that can happen, or any possible outcome of an experiment or observation. An event can be a single outcome, or it can consist of multiple outcomes.

In the given question,

The theoretical probability of drawing two yellow socks with replacement from a bag containing equal numbers of red, yellow, green, blue, and purple socks is:

P(drawing two yellow socks) = P(yellow) * P(yellow) = (1/5) * (1/5) = 1/25

So, the probability of drawing two yellow socks from the bag in any given trial is 1/25.

To predict the number of times the child will select two yellow socks in 175 trials, we can use the formula for the expected value of a discrete random variable:

E(X) = n * p

where E(X) is the expected number of times the event occurs, n is the number of trials, and p is the probability of the event occurring in a single trial.

In this case, n = 175 and p = 1/25. So,

E(X) = 175 * (1/25) = 7

Therefore, a reasonable prediction of the number of times the child will select two yellow socks in 175 trials is 7. Since this prediction is not one of the answer choices, the closest option is 35, which is more than five times the expected value. However, this is within the range of possible outcomes due to the random nature of the experiment.

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The probability Julian chooses a blue hat is 1/3.

Probability refers to the branch of math which deals with finding out the likelihood of the occurrence of an event.

Total hat is:

= 25+20+40+30+25+1

= 150.

There are a total of 150 hats to choose from.

The number of blue hats to choose from is:

= 40 + 10

= 50.

The probability that Julian chooses a blue hat is:

= 50/150

= 1/3

= 0.33 or 33.33%.

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A.) The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

Given the following data, let's calculate the mean:

Sum of all numbers = 189,000 + 100,000 + 83,000 + 135,000 + 148,000 + 205,000 + 180,000 + 150,000 + 200,000 + 210,000

Sum of all numbers = 1,600,000

No. of data = 10

We get,

Therefore, the mean is 160,000

B.) The median is the middle value when a data set is ordered from least to greatest.

Given the data:

189,000, 100,000, 83,000, 135,000, 148,000, 205,000, 180,000, 150,000, 200,000, 210,000

Let's first arrange it from least to greatest.

83,000, 100,000, 135,000, 148,000, 150,000, 180,000, 189,000, 200,000, 205,000, 210,000

The number of data is an even number. Therefore, to get the median, we will be getting the average of the two middle numbers.

The two middle numbers are 150,000 and 180,000

Let's calculate the median:

Therefore, the median is 165,000

It would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

To calculate the time it would take to drive from Statesville, NC to Washington, DC, we can divide the distance of 389 miles by the average speed of 65 mph.

Time = Distance / Speed

Time = 389 miles / 65 mph

Time ≈ 5.98 hours

Therefore, it would take approximately 5.98 hours to drive from Statesville, NC to Washington, DC on interstates with an average speed of 65 mph.

To calculate the cost of driving to Washington, DC, we need to know the number of gallons of gas required for the trip. We can find this by dividing the distance by the car's mileage, which is 29 miles per gallon.

Number of gallons = Distance / Mileage

Number of gallons = 389 miles / 29 miles per gallon

Number of gallons ≈ 13.41 gallons

The cost of gas can be calculated by multiplying the number of gallons by the cost per gallon, which is $3.89.

Cost = Number of gallons * Cost per gallon

Cost ≈ 13.41 gallons * $3.89/gallon

Cost ≈ $52.18

Therefore, it would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

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Step-by-step explanation:

Step 1:  Determine the end behavior

The left side of the graph goes to positive infinity in the y direction but negative infinity in the x direction.

         \(x\) → -∞

         \(f(x)\) → ∞

The right side of the graph goes to negative infinity in the y direction but positivie infinity in the x direction.

         \(x\)  → ∞

         \(f(x)\) → -∞

Answer:

The answer is A: 1,260

Step-by-step explanation:

I took the test on Edge

Answer:

A-1,260

Step-by-step explanation:

Hi this is the answer and explaination

I'm sorry if it's incorrect

hope's it's help

The circumcenter of a circle with a radius of 7 cm is, 44cm.

Circumference is the distance around the perimeter of a circular object. It is defined as the length of the circle that is found by multiplying the diameter of the circle by π (pi), which is approximately equal to 3.14.

The formula for the circumference of a circle is given by: C = 2πr,

Given that,

The radius of circle = 7 cm

Substituting the given value of radius as 7 and using pi = 3.14,

we get:

Circumference = 2 × 3.14 × 7

                         = 43.96

Rounding this to the nearest whole centimeter, we get:

Circumference ≈ 44

Therefore, the circumference of the circle with a radius of 7 centimeters is approximately 44 centimeters.

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Answer:

-5/2-39/2

Step-by-step explanation:

The sample size needed to be 99​% confident that the sample proportion will not differ from the true proportion by more than ​4% is given as follows:

n = 1037.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The margin of error is given as follows:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.

As we have no estimate, the parameter is given as follows:

\(\pi = 0.5\)

Then the sample size for M = 0.04 is obtained as follows:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.04 = 2.575\sqrt{\frac{0.5(0.5)}{n}}\)

\(0.04\sqrt{n} = 2.575 \times 0.5\)

\(\sqrt{n} = \frac{2.575 \times 0.5}{0.04}\)

\((\sqrt{n})^2 = \left(\frac{2.575 \times 0.5}{0.04}\right)^2\)

n = 1037.

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The calculated measure of m∠PNM is 87 degrees

from the question, we have the following parameters that can be used in our computation:

The circle

Where, we have

PM = 360 - 64 - 122

Evaluate

PM = 174

Next, we have

m∠PNM = 1/2 * 174

So, we have

m∠PNM = 87

Hence, the measure of m∠PNM is 87 degrees

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The value x in the secant line using the Intersecting theorem is 4.

Intersecting secants theorem states that " If two secant line segments are drawn to a circle from an exterior point, then the product of the measures of one of secant line segment and its external secant line segment is the same or equal to the product of the measures of the other secant line segment and its external line secant segment.

From the figure:

First sectant line segment = ( x - 1 ) + 5

External line segment of the first secant line = 5

Second sectant line segment = ( x + 2 ) + 4

External line segment of the second secant line = 4

Using the Intersecting secants theorem:

5( ( x - 1 ) + 5 ) = 4( ( x + 2 ) + 4 )

Solve for x:

5( x - 1 + 5 ) = 4( x + 2 + 4 )

5( x + 4 ) = 4( x + 6 )

5x + 20 = 4x + 24

5x - 4x = 24 - 20

x = 4

Therefore, the value of x is 4.

Option C) 4 is the correct answer.

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Answer:

sin=15/17

Step-by-step explanation:

Use the definition of sine to find the value of

sin (0)

sin (0) = opp/hyp

THEN

Substitute in the known values.

sin (0) = 15/17

The number of minutes for 20 bacteria be left is 439minutes. The decay constant is 0.0081

An exponential function is a mathematical function, which is used in many real-world situations. It is mainly used to find the exponential decay or exponential growth or to compute investments, model populations and so on.

The No of bacteria left at a particular time t is given as N(t)= Noe^-kt

where No= initial number of bacteria

k= decay constant and t = time

after 13 minutes

630= 700e^-13k

divide both sides by 700

630/700= e^-13k

0.9= e^-13k

ln0.9= -13k

k= ln0.9/-13 = -0.1054/-13 = 0.0081

time for 20 bacteria to be left =

20= 700e^-0.0081t

= 20/700=e^-0.0081t

0.0286= e^-0.0081t

ln0.0286= -0.0081t

-3.554= -0.0081t

divide both sides by -0.0081

t= -3.554/-0.0081= 439 minutes ( nearest minutes)

therefore the time for the bacteria to be left is 439minutes

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Answer:

15cm^3

Step-by-step explanation:

1^2=1

1*3=3

3*5=15

Step-by-step explanation:

Given:

\(D = 2\:\text{cm} \Rightarrow r =\frac{1}{2}D = 1\:\text{cm}\)

\(h = 5\:\text{cm}\)

Therefore,

\(V = \pi r^2 h = 3(1\:\text{cm})^2(5\:\text{cm})\)

\(\;\;\;=15\:\text{cm}^3\)

I assume you meant \(f(x)=8^x\).

Reflecting across the x-axis would give \(y=-8^x\).

Reflecting across the y-axis would give \(y=8^{-x}\).

The answers are as follows:

a) X denotes the number of the california residents that have adequate earthquake insurance

b)  x = 1 ,2 ,3 ......

c) P( X=x ) = 0.3(1-0.3) ^ (x-1)

d)  P( X=1) +  P( X=2)  + P( X=3) +  P( X=4)

e) 0.49

f)0.42

g)0.33

It is a branch of mathematics that deals with the occurrence of a random event.

The complete question is

It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose we are interested in the number of California residents we must survey until we find a resident who does not have adequate earthquake supplies. a. In words, define the random variable X. b. List the values that Xmay take on. c. Give the distribution of X.X~ _____(_____,_____) d. WhatistheprobabilitythatwemustsurveyjustoneortworesidentsuntilwefindaCaliforniaresidentwhodoes not have adequate earthquake supplies? e. What is the probability that we must survey at least three California residents until we find a California resident who does not have adequate earthquake supplies? f. HowmanyCaliforniaresidentsdoyouexpecttoneedtosurveyuntilyoufindaCaliforniaresidentwhodoesnot have adequate earthquake supplies? g. How many California residents do you expect to need to survey until you find a California resident who does have adequate earthquake supplies?

given that 30% of California residents have adequate earthquake supplies.

a) variable X denotes the number of the california residents that have adequate earthquake insurance

b) x = 1 ,2 ,3 ......

c) p=0.3

P( X=x ) = 0.3(1-0.3) ^ (x-1)

d) P( X=1) +  P( X=2)  + P( X=3) +  P( X=4)

= 0.3(1-0.3) ^ 0 + 0.3(1-0.3) ^1 + 0.3(1-0.3)^ 2 +...

e) P( X≥ 3) = 1- P(X<3)

= 1- (P(X=1) + (X=2))

= 1- 0.051

= 0.49.

f) E(X)= 1/P

p is the resident who does not have adequate earthquake supplies

p= 1-0.3

p = 0.7

E(X) = 1/0.7

= 0.42

g) E(X) =  1/q

= 1/0.3

= 3.333

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Answer:

for the top one put 22

Step-by-step explanation:

then add 22 to 9 and you have 31 and then add 4

it should look like this

4 22 9

Answer:

See below.

Step-by-step explanation:

Call the three unknown values x, y, and z, as shown in the picture below.

According to the rule that you add two numbers to get the number below, you end up with these three equations:

x + 4 = y

x + 9 = z

y + z = 35

Now we have a system of 3 equations in 3 unknowns.

Add the first two equations:

2x + 13 = y + z

The third equation is y + z = 35, so substitute 35 for y + z in the equation above and solve for x.

2x + 13 = 35

2x = 22

x = 11

y = x + 4 = 11 + 4 = 15

z = x + 9 = 11 + 9 = 20

Now fill in the grid. See the second picture below.

The value of x if the distance between S and T is 61 units is; 54.

The distance between two points can be evaluated as follows;

In this case;

x = 54

Therefore, the value of x is; 54.

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Answer:

Choose (D)

y-y1=m(x-x1)

y-2=1/2(x+6)

Answer:

−16890

Step-by-step explanation:

Simplify the expression.

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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Answer:

\(y=5x\)

Step-by-step explanation:

Insert the information into the point-slope formula to find slope-intercept form.

\(y-y_1=m(x-x_1)\\\\y-5=5(x-1)\\\\y-5=5x-5\\\\y=5x\)

Answer:

4.9 in

Step-by-step explanation:

6/11 = x/9

6/11 times 9 = x

x = 4.9

Congruent triangles are equal. So that the required prove to complete the flowchart are:

Two or more triangles are said to be congruent when they have equal length of sides and measure of angles. Thus the triangles have common properties.

The required statement and reason to complete the flowchart are:

     STATEMENT                                REASON

1. AC ⊥ BD                                         Given

2. <BAD ≅ <BCD                              Congruent angles of a triangle

3. <ABD ≅ < CBD                             Definition of an angle bisector

4. AD ≅ DC                                       Congruent property of a bisected line

5. <BDA ≅ <BDC                              Definition of a line bisector

6. ΔABD ≅ ΔCBD                             Angle Angle side congruent theorem

Therefore, it can be deduced that  ΔABD and ΔCBD are congruent.

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