During an archaeological dig, the team starts at an elevation of
−
5
1
2
−5
2
1
​
feet. At a rate of
2
3
4
2
4
3
​
feet per hour, the team digs deeper into the surface for
3
1
2
3
2
1
​
hours. For the next
4
1
2
4
2
1
​
hours, the team digs at a rate of
1
3
12
1
12
3
​
feet per hour.

Answer:

hypotenuse= 2\(\sqrt{5}\)

Step-by-step explanation:

the triangle is equal tow side so it is two side =5 cm

then the hypotenuse by Phitagors theory the triangle hypotenuse =

\(\sqrt{5^{2} +5^{2} }\) = 2\(\sqrt{5}\)

Answer: C

Step-by-step explanation:

Based on the graph, we know that it is negative if it is under the x-axis. It is also indicated by the negative labels.

A: incorrect

Looking at choice A, it says the interval is from -3<x<-2. This means we have to find x=-3 and x=-2. On the graph, that interval is above the x-axis, so it is positive, not negative.

B: incorrect

Looking at choice B, it says the interval is from 2<x<3. This means we have to find x=2 and x=3. On the graph, that interval is above the x-axis, so it is positive, not negative.

C: correct

Looking at choice C, it says the interval is from 4<x<5. This means we have to find x=4 and x=5. On the graph, that interval is under the x-axis, so it is negative.

Therefore, C is the correct answer.

Answer:

5

Step-by-step explanation:

Using the pythagorean theorem,

\(13^2=(MO)^2+12^2\\\\169 - 144 = (MO)^2\\(MO)^2=25\\\\MO = 5\)

Answer:

The answer is 7 socks.

Step-by-step explanation:

To ensure one matching pair, you need to pull out 4 socks. If none of the first three match, the fourth one will guarantee a matching pair.

You will then need to pull out 3 more socks, for a total of 7 socks, to ensure two matching pairs.

Answer:

Should be 12

Step-by-step explanation:

I am not best at math so I cant explained well

Step-by-step explanation:

your picture is not vivid

Answer:

Step-by-step explanation:

ok basically for the one on the left

the two expressions, make them equal to each other

ex: 2x+24 = 5x-8 (something like that)

and whatever answer you get that is x

then solve the equation using x and that'll give you angle y

for the one on the right, add the two expressions to 180

ex: 3x-10+2x=180

plug it in to one of the angle expressions and with that measurement subtract that from 180 and you'll get y

Answer:

I think it might be A if not then its be

Step-by-step explanation:

sorry if its not right

Answer: The complete and simplified answer to the question what is 5/8 of 10 is: 6 1/4

Answer:

the other factor is (x+7)

Step-by-step explanation:

Given x^2+11x+28

factor into

x^2+7x + 4x + 28

=x(x+7) + 4(x+7)

= (x+4)(x+7)

Answer: the other factor is (x+7)

Answer:

The correct answer is a = 44.

Step-by-step explanation:

To solve this problem, we need to isolate the variable (a) on one side of the equation. Our first step should be to subtract 6 from both sides, which gives us:

6 + a/2 - 6 = 28 - 6

a/2 = 22

Next, we should multiply both sides by 2 to cancel out the fraction on the left side of the equation and get the variable a alone.

a/2 * 2 = 22 * 2

a = 44

Therefore, the answer to your question is a = 44.

For more information about solving equations, check out the following questions:

https://brainly.com/question/13482978

https://brainly.com/question/28224805

Henry opens a savings account with an annual interest rate of 4.5 percent. After a year, he gets $75,000 in payment. He made a deposit into the savings account of $72,831.68.

Here are the steps on how to calculate the amount Henry invested:

Convert the annual interest rate to a monthly rate.

\(\begin{equation}4.5\% \div 12 = 0.375\%\end{equation}\)

Calculate the number of years.

\(\begin{equation}\frac{18 \text{ months}}{12 \text{ months/year}} = 1.5 \text{ years}\end{equation}\)

Use the compound interest formula to calculate the amount Henry invested.

\(\begin{equation}FV = PV * (1 + r)^t\end{equation}\)

where:

FV is the future value ($75,000)

PV is the present value (unknown)

r is the interest rate (0.375%)

t is the number of years (1.5 years)

\(\begin{equation}\$75,000 = PV \cdot (1 + 0.00375)^{1.5}\end{equation}\)

\$75,000 = PV * 1.0297

\(\begin{equation}PV = \frac{\$75,000}{1.0297}\end{equation}\)

PV = \$72,831.68

Therefore, Henry invested \$72,831.68 in the savings account.

To know more about the annual interest rate refer here :

https://brainly.com/question/20631001#

#SPJ11

Fuzzy logic is commonly utilized in computer science, artificial intelligence, engineering, and other fields that require imprecise or ambiguous information to be handled.

The mathematical method of handling imprecise or subjective information is fuzzy logic.What is the mathematical method of handling imprecise or subjective information?The mathematical method of handling imprecise or subjective information is fuzzy logic. It is a form of reasoning that allows for the management of approximate, subjective, or ambiguous information to be carried out using a mathematical model. It is a soft computing technique that uses artificial intelligence to model uncertainty and imprecision in data. Fuzzy logic is commonly utilized in computer science, artificial intelligence, engineering, and other fields that require imprecise or ambiguous information to be handled.

Learn more about Fuzzy logic :

https://brainly.com/question/13175817

#SPJ11

Answer:

Answer A

Step-by-step explanation:

Slope formula is y2-y1/x2-x1

2-6/3-5

-4/-2

Slope = 2

Plug into the equation with either (5,6) or (3,2)

6 = 2(5) + b

6 = 10 + b

b = -4

y = 2x - 4

Answer:

the slope is 2, so 2x+b=y

substitute the values into the equation

6+b=2

the y-intercept (b) is -4

y=2x-4

Answer:

Option A is correct

Step-by-step explanation:

Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

Answer:

62.5%

Step-by-step explanation:

Split the time up into 5 minute slots. That gives us 24 slots of 5 minutes.

20/5=4 of the 5 minute slots playing outside

25/5=5 of the 5 minute slots on his phone

5+4=9 out of 24 slots spent

24-9=15 slots remaining to play his instrument

15/24x100=62.5% time playing instrument

Answer:62.5%

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Im going to be quick on this since your in a hurry, is AB is 3 and QR = 1  and their similar then BC would be 3 times the amount of RS which is 1.5 so the Answer is 4.5

Answer:

C

Step-by-step explanation:

　　＿＿＿　 AA

*～/■　■　⊂ P

　 |　■　■.（＿）

　 U U￣￣U U

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

k12 test

Answer:

20dividedby4

Step-by-step explanation:

To determine values of a and b that show the student's claim is false, we need to find a solution where the system of equations has either no real solutions or infinitely many solutions.

Let's examine the given system of equations: ax + 6y = 42

8x + by = 21. To have exactly one real solution, the system must be consistent and independent, meaning the two equations represent distinct lines that intersect at a single point. For the system to have no real solutions or infinitely many solutions, there must be some relationship between the coefficients a and b that makes the equations dependent or inconsistent.  To find such values, we can compare the slopes of the two lines represented by the equations. The slope of the first equation, ax + 6y = 42, can be calculated as: slope1 = -a/6. The slope of the second equation, 8x + by = 21, can be calculated as: slope2 = -8/b. If the slopes are equal, the lines are parallel, and the system has no solution. If the slopes are both zero, the lines coincide, and the system has infinitely many solutions. For the system to have exactly one real solution, the slopes must be different. To demonstrate that the student's claim is false, we need to find values of a and b that make the slopes equal or both zero. For example, let's set the slopes equal:- a/6 = -8/b. Cross-multiplying, we get: -ba = -48. If we choose a = 6 and b = 8, the equation becomes:-8a = -48. This implies that -48 = -48, which is true for any real value of a.Therefore,  a = 6 and b = 8.

Therefore, when a = 6 and b = 8, the system of equations has infinitely many solutions, contrary to the student's claim. Hence, the value of a is 6, and the value of b is 8.

Learn more about system of equations click here : brainly.com/question/20067450

#SPJ11

We need to use about 10 terms to estimate the value of the series with an error at most 0.000017.

To estimate the value of the convergent series 9 + 15 + ... with an error at most 0.000017, we need to use the formula for the error bound of a convergent series:

|En| ≤ (Mn+1/2) * r^n

where En is the error bound, Mn is the maximum value of the remainder term for the first n terms of the series, r is the common ratio, and n is the number of terms used to estimate the series.

In this case, the series has a common ratio of 5/3 (since each term is 5/3 times the previous term), and the remainder term for the first n terms is:

Rn = (5/3)^n * 9/(3n+3)

To find Mn, we need to find the maximum value of Rn for n terms. This can be done by taking the derivative of Rn with respect to n, setting it equal to zero, and solving for n. However, since we only need an estimate of the number of terms, we can use trial and error to find the smallest n such that Rn ≤ 0.000017:

n = 10: R10 ≈ 0.000013
n = 11: R11 ≈ 0.000021


To learn more about convergent series click here

brainly.com/question/15415793

#SPJ11

Answer:

Option (3)

Step-by-step explanation:

Value of a car with a depreciation rate 'r' after time 't' is given by the formula,

v(t) = \(v_0(1-\frac{r}{100})^t\)

Here, v(t) = Final value

\(v_0\) = Initial value

r = rate of depreciation

From the given function,

v(t) = \(24893(0.88)^t\)

v(t) = \(24893(1-0.12)^t\)

     = \(24893(1-\frac{12}{100})^t\)

Now we compare this expression with the formula of depreciation.

\(v_0\) = 24893

r = 12%

Therefore, Option (3) will be the answer.

The surface area of a conical grain storage tank that has a height of 42 meters and a diameter of 24 meters is 1,670.5 square meters.

The surface area of a cone is calculated using the following formula:

Surface area = πr² + πrl, where π is approximately equal to 3.14, r is the radius of the base of the cone, and l is the slant height of the cone.

In this problem, we are given that the height of the cone is 42 meters and the diameter of the base is 24 meters. The radius of the base is half of the diameter, so the radius is 12 meters. The slant height of the cone can be calculated using the Pythagorean theorem.

l² = 12² + 42²

l² = 1764

l = 42.01 meters

The surface area of the cone is then calculated as follows:

Surface area = πr² + πrl

Surface area = 3.14 * 12² + 3.14 * 12 * 42.01

Surface area = 1,670.5 square meters

Here are some additional explanations:

To know more about area click here

brainly.com/question/13194650

#SPJ11

Answer:

Step-by-step explanation:

This can be done with dimensional analysis.

4 cm/s [ 1 m/100cm][3600 sec/1 hour]  

4 cm* 3600s / 100 cm = 4 m *3600 seconds / hr

144 m / hour. All the numbers and units cancel out.

Answer:

a = 4

b = 2√3

Step-by-step explanation:

Here, we want to get the missing side lengths

We start by looking at the values that we are given

from the question, a faces the right-angle and is called the hypotenuse; it is also the longest side

b faces the angle given and is also called the opposite

Lastly, the side marked 2 is the adjacent side

Now, the triangle given is called a 30-60-90 triangle

In a 30-60-90 triangle, the ratio of the sides are given as

1: √3:2

Thus, we have 1 as the adjacent

The opposite would be √3 * 2 = 2 √3 = b

Lastly , a = 2 * 2 = 4

Answer: 81

Step-by-step explanation:

First digit  and    Second digit    and    Third digit    and    Fourth digit

3 choices  x       3 choices          x        3 choices      x       3 choices     = 81

Answer:

The Domain : {(−∞,∞), {x/x∈R} and Range : {(−∞,∞), {y/y∈R} of the function  f(x)=2x-5

What is a function?

A relation is a function if it has only One y-value for each x-value.

We have to find the domain and range of f(x)=2x-5

The domain of the expression is all real numbers except where the expression is undefined.

In this case, there is no real number that makes the expression undefined.

Interval Notation:(−∞,∞)

The range is the set of all valid y values.

Domain : {(−∞,∞), {x/x∈R}

Range : {(−∞,∞), {y/y∈R}

Hence, the Domain : {(−∞,∞), {x/x∈R} and Range : {(−∞,∞), {y/y∈R} of the function  f(x)=2x-5

Have a wonderful day! :-)

Answer:

1

2,3,4

Step-by-step explanation: to

when the number of football is 1 is less expensive than basketball

The single-precision floating point representation of 0.5625 in hexadecimal is: 0x3E100000.

Identify the sign bit. In this case, the number is positive, so the sign bit is 0.

Convert the decimal number to binary. The decimal number 0.5625 (or 9/16) can be converted to binary as follows: 0.1001.

Convert the 32-bit binary number to hexadecimal. To do this, group the binary number into blocks of 4, from right to left, and convert each block into its hexadecimal equivalent:

0000 -> 0

0000 -> 0

0000 -> 0

0000 -> 0

0000 -> 0

0001 -> 1

0000 -> 0

0111 -> 7

1110 -> E

0 -> 0

So, the single-precision floating point representation of 0.5625 in hexadecimal is: 0x3E100000.

Read mote on decimals here:https://brainly.com/question/28393353

#SPJ1

Answer:

32.9

Step-by-step explanation:

7*9.4/2=32.9