what number should be added to both sides of the equation to complete the square in x2+8x=17?

Answer:

(a) Yes, E and F are independent events.

(b) P(E and F) = P(E)P(F) = (1/2)(1/2) = 1/4

9514 1404 393

Answer:

Step-by-step explanation:

You can say lots of things about the y-values of these functions. A couple of observations are listed above. In addition, we can say the y-values of g(x) will be greater than those of f(x) for x-values not equal or between the x-values where the y-values are the same.

Answer:

• g(x) has the smallest possible y-value.

• The minimum y value of g(x) is -3.

Step-by-step explanation:

Ap3x

Answer:

x+6=y

Step-by-step explanation:

There are 3 rovers does Halima make.

We have to given that,

Halima makes model rovers for a science project about space.

And, She puts 6 wheels on each rover, and she has 20 wheels.

Now, We have;

Total number of wheels = 20

Number of wheels In each rover = 6

Hence, Number of rovers Halima make is,

⇒ 20 / 6

After divide,

Quotient = 3

Remainder = 2

Thus, There are 3 rovers does Halima make.

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In Equilateral triangle all sides are equal.

Answer:

r = \(\sqrt{x} A/4\pi\) , or the third option :)

Step-by-step explanation:

Answer:c

Step-by-step explanation:

Answer: y = -3x + 7

Step-by-step explanation: have a look at the pic attached and lemme know if u still dont get it! :)

After answering the presented question, we can conclude that As a equation result, the pizza's temperature after 5 minutes is 320°F.

In mathematics, an equation is a statement that states the equality of two expressions. An equation consists of two sides separated by an algebraic equation (=). The argument \("2x + 3 = 9," f\)or example, states that the sentence "2x Plus 3" equals the value "9." The goal of solving equations is to find the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complex, linear or nonlinear, and contain one or more parts. In the equation\("x^2 + 2x - 3 = 0,"\)the variable x is raised to the second power. Lines are used in many areas of mathematics, including algebra, calculus, and geometry.

Let T(t) be the temperature of the pizza at time t, where t is in minutes. Then,

(a) Applying the Newton's Law of Cooling calculation, we get:

(T(0) - 80) / (400 - 80) = k (where k is the proportionality constant) (where k is the proportionality constant)

When we solve for k, we get:

k = (T(0) - 80) / 320

(T(3) - 80) / (400 - 80) = (T(0) - 80) / 320

T(0) = 400 - 320 * (T(3) - 80) / 320 = 400 - (T(3) - 80) = 320 + 80 = 400°F

(T(5) - 80) / (400 - 80) = (T(0) - 80) / 320

(T(5) - 80) / 320 = (400 - 80) / 320

T(5) - 80 = 3 * (400 - 80) / 4

T(5) = 3 * 320 / 4 + 80 = 240 + 80 = 320°F

As a result, the pizza's temperature after 5 minutes is 320°F.

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Answer:

this very easy to factorize this because (-+)is- (+-)-

(++)+ (--)+ but the sign which is bigger we have to keep that

Answer:

4 1/10 when u have a inproper fraction like that every 10 is one whole number

Answer:

x = 31

Step-by-step explanation:

Recall: An inscribed angle in a circle = ½(measure of intercepted arc)

Therefore:

m<EGF = ½(192°)

3x + 3 = ½(192) (substitution)

3x + 3 = 96

3x + 3 - 3 = 96 - 3

3x = 93

3x/3 = 93/3

x = 31

Answer:

1- 27

2- 36

3- -200

this is the answer

Based on the data recorded by Anna on Saturday, we can estimate the number of people expected to visit The Youth Wing on Sunday.

Let's calculate the proportion of visitors to The Youth Wing compared to the total number of visitors on Saturday:

\(\displaystyle \text{Proportion} = \frac{\text{Visitors to The Youth Wing on Saturday}}{\text{Total visitors on Saturday}} = \frac{382}{382 + 461 + 355}\)

Next, we'll apply this proportion to the total number of visitors on Sunday to estimate the number of people expected to go to The Youth Wing:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times \text{Total visitors on Sunday}\)

Now, let's substitute the values into the equation and calculate the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355}\)

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times 800\)

Calculating the proportion:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355} = \frac{382}{1198}\)

Calculating the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \frac{382}{1198} \times 800\)

Simplifying the equation:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx \frac{382 \times 800}{1198}\)

Now, let's calculate the approximate number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx 254\)

Therefore, based on the data recorded on Saturday, we can estimate that around 254 people should be expected to go to The Youth Wing on Sunday.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

0.45

Step-by-step explanation:

Since 36 of the cards are sports cards we can write that as a fraction

So that would be 36/80

36/80 simplified is 9/20 (you divide by 4)

and then to make it a percentage we do times 5 which gives us 45/100 which is equal to 45%

45% is equal to 0.45

Answer:

0.45

Step-by-step explanation:

Hope it helps

The extremas of the function are defined as follows:

On a graph, the function makes a turn at these points.

The problem is incomplete, hence the general procedure to obtain the points was presented.

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The unit rate in minutes per meter is 10 minutes/meter.

What is unit conversion?

Unit conversion is the method of converting a quantity from one unit of measurement to another. In many cases, it is necessary to convert units of measurement to make them more meaningful, or to enable comparisons between different units.

We can start by finding the total time it would take to fill the aquarium to a depth of 1 meter.

If it takes 4 minutes to fill the aquarium to a depth of 2/5 meters, then we can find how long it would take to fill the aquarium to a depth of 1 meter by setting up the following proportion:

2/5 meters / 4 minutes = 1 meter / x minutes

To solve for x, we can cross-multiply and simplify:

(2/5) * x = 4 * 1

2x = 20

x = 10

Therefore, it would take 10 minutes to fill the aquarium to a depth of 1 meter.

The unit rate in minutes per meter is the time it takes to fill 1 meter of the aquarium, which we just calculated to be 10 minutes.

So, the unit rate in minutes per meter is 10 minutes/meter.

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Complete question :  it takes 4 minutes to fill an empty aquarium to a depth of 2/5 meters. what is the unit rate in minutes per meter?

By analyzing the question, we find that there are a total of 5 * 4 * 3 = 60 different shows that Elodie can put on.

A permutation is an arrangement of a set of items in a specific order. Permutations are typically denoted using the notation "P" followed by the number of items being permuted and the number of items being chosen at a time.

The formula for calculating permutations is as follows:

P(n,r) = n! / (n-r)!

where:

P(n,r) is the number of permutations of r items from a set of n items.

n! is the factorial of n, which is the product of all positive integers less than or equal to n.

There are five fashion models and three remaining outfits, which means there are 5 ways to choose the model who wears the first outfit, 4 ways to choose the model who wears the second outfit, and 3 ways to choose the model who wears the third outfit. Therefore, there are a total of 5 * 4 * 3 = 60 different shows that Elodie can put on.

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Answer:

8100700

Step-by-step explanation:

I used a calculator

Could you pls mark me brainliest I only need one more

Answer:

8100700

hop i helped look at my drawing

Step-by-step explanation:

The area of the castle's floor increases by 5.06% .

How to calculate area of rectangular floor?

By multiplying length and breadth, the rectangle's area will obtain in a square-unit dimension. In the case of a square, the area will become side2. The main difference between square and rectangle is that the length and breadth are equal for square.

Given :

Let the Length and width of the rectangular floor be x and y respectively

then , the area of rectangular floor be x*y

Since,

Ashley increased the length of the castle's floor : 30%

and width of castle's floor : 20%.

New length = x + 30% of x = x + 3x/100 = 103x/100

New width = y + 20% of y =y + 2y/100 = 102y/100

New area of rectangular floor = (103x/100)*(102y/100)

percent increase in area of the castle's floor

= {[(103x/100)*(102y/100) - x*y]*100} / xy

= 506 / 100

= 5.06

Hence, the area of the castle's floor increases by 5.06% .

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The resultant normal force at point D along the x-direction is \(F_D_x=0\) and  the resultant shear force at point D along the y-direction is \(F_D_y=154.29N\)

Consider the equilibrium of the shaft.

Resolve the forces along the y-direction.

\(R_A_y+R_B_y=200+200+80+80R_A_y+R_B_y=560-----(1)\)

Take moments about point B and about the z-axis:

\(R_A_y*1.4=2*100*0.7+2*80*0.4\\\\R_A_y=245.71\)

Substitute the above value in equation (1).

\(245.71+R_B_y=560\\\\R_B_y=314.29N\)

Resolve the forces along the z-direction.

\(R_A_z+R_B_z=385+385R_A_z+R_B_z=770-----(2)\)

Take moments about point B and about the y-axis:

\(R_A_z*1.4=2*385*1.1\\\\R_A_z=605N\)

Substitute the above value in equation (2).

\(605+R_B_z=770\\\\R_B_z=165N\)

a) The resultant normal force at point D along the x-direction is

\(F_D_x=0\)  

b) The resultant shear force at point D along the y-direction is

\(F_D_y-R_B_y+2*80=0\\\\F_D_y-314.29+160=0\\F_D_y=154.29N\)

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Answer:

x=15

Step-by-step explanation:

they all add up to 360degrees

Answer:

x = 15

Step-by-step explanation:

hope this helps!

~mina

The rate at which the depth of the liquid is increasing when it reaches one-third of the height of the bowl is (7/3)π cm³/s.

To ascertain the rate at which the liquid's depth rises, let's find the derivative of the depth function with respect to time.

Let;

The rate of change of the volume of the liquid with respect to time is constant and equal to 7π cm³/s.

To determine the height of the bowl, we can evaluate the curve y = [-4 / (8 - x)] - 1 when x = 4 and y = 7.6 and then find the absolute difference between the values.

h = |[-4 / (8 - 4)] - 1 - [-4 / (8 - 7.6)] - 1|

Let's calculate the rate at which the depth rises when it reaches one-third of the bowl's height.

D = depth of bowl

Using this relationship from the question given;

D = (1/3) * h

In order to determine the rate at which D will change with respect to time, let's differentiate both sides of the equation.

dD/dt = (1/3) * dh/dt

Since dh/dt is the rate at which the depth of the liquid is changing, which is constant and equal to 7π cm³/s, we can substitute it into the equation:

dD/dt = (1/3) * (7π)

Simplifying, we have:

dD/dt = (7/3)π cm³/s

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Question:

Solution:

Consider the following equation:

Let's see if this equation is true for each x:

For x = 5, we get that:

then x= 5 is NOT a solution of the given equation.

For x = -9, we get that:

then, x = -9 is NOT a solution of the given equation.

For x= 2, we get that:

then, x = 2 is NOT a solution of the given equation.

For x = -7, we get that:

then, x = -7 is NOT a solution of the given equation.

Answer:

5/3

Step-by-step explanation:

(5/6)÷(1/2)

= (5/6) x 2

= 10/6 = 5/3

Hope this helps!

Answer:

the correct answer is 5/3

I'm 100000000000% sure

Answer:

43

Step-by-step explanation:

253,248,243,.

this is an arithmetic progression

here

first term (a)=253

common difference (d)=248-253= -5

number of term (n)=43

Now using the formula nth term of arithmetic progression is

an=a+(n-1)d

a43=253+(43-1)(-5)

a43=253+(42)(-5)

a43=253-210

a43=43

Answer:43

Step-by-step explanation:

253,248,243,...

Find the 43rd term

Arithmetic Sequence.

Common Difference:

248

−

253

=

−

5

248−253=−5

243

−

248

=

−

5

243−248=−5

�

=

−

5

d=−5

Explicit Formula:

�

�

=

�

1

+

(

�

−

1

)

�

a

n

​

=a

1

​

+(n−1)d

�

43

=

253

+

(

42

)

(

−

5

)

a

43

​

=253+(42)(−5)

Plug in.

�

43

=

43

a

43

​

=43

Evaluate.

Your Solution:

43

43

Answer: 2x+10

same expression, just simplified

Answer:yes!!

Step-by-step explanation:suprisingly this website gives you the tools to get an answer for anything. People will find ur stuff and give an answer, or sometimes multiple people.

Answer:

The minimum sample required = 1296.65

Step-by-step explanation:

Given that:

Variance \(\sigma^2 = 2.89\)

Standard deviation \(\sigma = \sqrt{2.89}\)

Standard deviation \(\sigma = 1.7\)

Margin of error = 0.11

Confidence Interval = 98%

Level of significance =  1 - 0.98 = 0.02

The critical value = \(Z _{\alpha//2} = Z_{0.02/2} = Z_{0.01}\)

= 2.33  

Thus, the minimum sample size is given by the formula:

\(n = \bigg ( \dfrac{Z_{\alpha/2} \times \sigma }{E} \bigg)^2\)

\(n = \bigg (\dfrac{2.33 \times 1.7 }{0.11} \bigg)^2\)

n = 1296.65

Answer:

y-int: -9, slope: 3/5

Step-by-step explanation:

Answer:

2

Step-by-step explanation: 1+1=2