Which algebraic expression is a difference with two terms?
A. 5y - 7
B. 564 - 6)
C.-2y+ 5+ 3
D. 3y+1

Answer:

Step-by-step explanation:

You first multiply the a with bx and c then after the answer when you multiply you "add" with it would be something like

ex: 6x+4=28

         - 4  -4     subtract both sides

------------------------

        6x=24      then divide 6 with 24.

         x= 3      

Assuming the interest is compounded continuously what interest rate to the nearest hundredths of a percent would be required in order for Jamar to end up with $4200 is 4.62%.

Using the formula r = ln(A/P) / t, the interest rate, r, can be determined using an online finance calculator as follows:

Total P+I (A) = $4,200.00

Principal (P) = $2,200.00

Compound (n) = Compounding Continuously

Time (t in years) = 14 years

R = 4.619% per year

The calculation steps are as follows:

Solving for rate r as a decimal

r = ln(A/P) / t

r = ln(4,200.00/2,200.00) / 14

r = 0.0461877

Then convert r to R as a percentage:

R = r * 100

R = 0.0461877 * 100

R = 4.62%/year

Thus, the interest rate required to get a total amount of $4,200.00 from compound interest on a principal of $2,200.00 compounded continuously over 14 years is 4.62% per year.

Learn more about continuous compounding at https://brainly.com/question/14303868.

#SPJ1

Answer:

m<1 = 125°

Step-by-step explanation:

Given that line m is parallel to line n, therefore:

m<2 = m<6 (corresponding angles theorem)

m<2 = 55°

Therefore,

m<1 = 180° - m<2 (linear pair)

m<1 = 180° - 55°

m<1 = 125°

Answer: 27°

Step-by-step explanation: Here, we're asked to find the missing angle measure in the triangle shown which is represented by the variable x.

To find the value of x, remember that the sum of the

measures of the angles in a triangle is 180°

So we can setup the equation 63 + 90 + x = 180.

Remember that a box indicates a 90° angle.

Now to solve for x, let's first simplify on the left side of the equation.

63 + 90 is 153 so we have 153 + x = 180.

Now to get x by itself, we subtract 153 from both sides of the equation.

On the left side of the equation, 153 - 153 cancels out and we have x

and on the right side of the equation, 180 - 153 is 27.

This means that the missing angle in the triangle is 27°.

Step-by-step explanation:

1 2/5 - (-3/5)

1 2/5 + 3/5

7/5 + 3/5

10/5

Answer:

280 m³

Step-by-step explanation:

Volume of a Triangular Prism

Solving

Answer:

280

Step-by-step explanation:

So first lets establish the formula for a Triangular Prism :

1/2 * b * h * l

now lets use the mesurements given to substitute into the formula :

1/2 * 7 * 8 * 10

now lets solve it by first multiplying all the whole numbers together!

7 * 8 = 56

56 * 10 = 560

Finally lets multiply 560 by 1/2 or in other words, divide 560 by 2 :

560/2 = 280

Answer:

\(5x - 2y = 10\) and \(y = 1 + x\)

\(5x = 10 + 2y\) and \(y = 1 + x\)

Step-by-step explanation:

Represent the cost of pencil with y and erasers with x.

So: The first statement implies that:

Cost of 5 erasers = 5x

Cost of 2 pencils = 2y

Difference: 5x - 2y = 10

The second statement implies that:

Pencil = 1 more than eraser.

i.e.

y = 1 + x

So, we have the following system of equations (1)

\(5x - 2y = 10\)

\(y = 1 + x\)

Another way of representing the equations is: (2)

\(5x = 10 + 2y\)

\(y = 1 + x\)

The required terminal point is Q(0,2).

By using the symbol |v|, the magnitude of a vector formula can be utilized to determine the length for a given vector (let's say v). In essence, this measurement represents the separation between the vector's starting and ending points.

For a vector v with endpoints at \((x_1,y_1)\) and \((x_2, y_2)\), its magnitude is

\(v=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

We are given the following in the question:

Initial point of vector, P(1,0)

The terminal point Q has coordinates in the following format because it is on the y-axis:

Q(0,y)

The magnitude of the vector is \(\sqrt{5}\).

Magnitude is given by,

\(v=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\ \sqrt{5} =\sqrt{(0-1)^2+(y-0)^2} \\5=1+y^2\\y^2=4\\y=_-^+2\)

But because the terminal position is higher than the starting point,

y is greater than 0.

Therefore,

y=2

Thus, the terminal point is Q(0,2)

To know more about vector magnitude, visit:

https://brainly.com/question/28749159

#SPJ4

When golden eagles dive, they can achieve speeds up to 150 miles per hour then the equation t = 2d/5 will represents the amount of time. So option A is correct.

We know that the speed of the golden eagle in miles per minute is:

v = 150 miles/hour ÷ 60 minutes/hour = 2.5 miles/minute

The time t it takes for the golden eagle to dive a distance d in miles is given by the formula:

t = d/v

Substituting the value of v, we get:

t = d/2.5

Therefore, the equation that represents the amount of time t in minutes it takes a golden eagle to dive the distance d in miles is:

a. t = 2d/5

Therefore, option A is correct.

To learn more about speed calculations:

https://brainly.com/question/26046491

#SPJ4

Answer:

A. 2^11

Step-by-step explanation:

(They are basically asking what's 2^4 × 2^7, but with more words.)

I usually do each exponent individually:

2^4 is the same as 2 × 2 × 2 × 2 = 16 (or you could have read the text to figure that out)

2^7 is the same as 2 × 2 × 2 × 2 × 2 × 2 × 2 = 128

Then just multiply 128 and 16 to get 2,048, and see which option also gives you 2,048.

BUT, you can also:

(Combine the exponents together to get your answer. Just remember that if it's multiplication you add them, and if it's division you subtract them.)

2^4 × 2^7

4 + 7 = 11

2^11 (This equals 2,048 btw. You don't even have to check all the options to get the answer).

Hope this helps friend :)

The last part I learned from another user, while answering one of your other questions. I personally find this mind blowing, lol.

Answer:

eight eggs were used

Step-by-step explanation:

simplify 4/6 to 2/3 which 2/3 of twelve is eight

Answer:

so rlly is that a quetion bc we cat solve that

Step-by-step explanation:

\(p(t)=1650e^{0.11t}\implies \stackrel{p(t)}{2479}=1650e^{0.11t}\implies \cfrac{2479}{1650}=e^{0.11t} \\\\\\ \log_e\left( \cfrac{2479}{1650} \right)=\log_e\left( e^{0.11t} \right)\implies \log_e\left( \cfrac{2479}{1650} \right)=0.11t \\\\\\ \ln\left( \cfrac{2479}{1650} \right)=0.11t\implies \cfrac{ ~~ \ln\left( \frac{2479}{1650} \right) ~~ }{0.11}=t\implies 3.7\approx t\)

at that moment, the population will reach 2479, and right after that, it'll exceed it.

Answer:

Step-by-step explanation:

To find the product of the given fractions in lowest terms, we can multiply the numerators and denominators together, and then simplify the resulting fraction:

(24/18) * (2/17) * (34/3)

First, we can simplify the fractions by reducing any common factors in the numerators and denominators:

24/18 = (212)/(29) = 12/9 = 4/3

2/17 = 2/17

34/3 = (2*17)/3 = 34/3

Now we can multiply the simplified fractions:

(4/3) * (2/17) * (34/3) = (4234)/(3173) = 272/153

The product of the given fractions in lowest terms is 272/153.

Answer:

(a) The average baggage-related revenue per passenger is $15.70.

(b) The standard deviation of baggage-related revenue is $19.95.

(c) The expected revenue for 120 passengers is $1,884.

Step-by-step explanation:

Let the random variable X represent the baggage-related revenue per passenger.

It is provided that the baggage fees is $25 for the first bag and $35 for the second.

The probability model is:

    X :   0         25      60

P (X) : 0.54    0.34    0.12

(a)

Compute the average baggage-related revenue per passenger as follows:

\(E(X)=\sum {X\times P (X)}\)

         \(=(0\times 0.54)+(25\times 0.34)+(60\times 0.12)\\\\=0+8.50+7.20\\\\=15.70\)

Thus, the average baggage-related revenue per passenger is $15.70.

(b)

Compute the standard deviation of baggage-related revenue as follows:

\(E (X^{2})=\sum X^{2}\times P(X)}\\\\=(0^{2}\times 0.54)+(25^{2}\times 0.34)+(60^{2}\times 0.12)\\\\=0+212.50+432\\\\=644.5\\\)

\(SD(X)=\sqrt{E(X^{2})-(E(X))^{2}}\)

           \(=\sqrt{644.5-(15.7)^{2}}\\\\=19.950188\\\\\approx 19.95\)

Thus, the standard deviation of baggage-related revenue is $19.95.

(c)

Compute the expected revenue for 120 passengers as follows:

\(E(R)=n\times E(X)\)

        \(=120\times 15.7\\\\=1884\)

Thus, the expected revenue for 120 passengers is $1,884.

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

Learn more about mean absolute deviation at: https://brainly.com/question/447169

#SPJ1

Answer:

f(3) = 3 + 1 = 4

Step-by-step explanation:

Since 3 > 0, we need to focus on the part of the function where x > 0. So:

f(3) = 3 + 1 = 4.

Brainly wasn't letting me post the answer. So I posted the screenshot instead.

Hope this helps you...

Draw a model and write to represent 4 times as many as 3 is 12.

The required equation is 4×3=12 and the required model is shown in figure.

The model for the provided question is shown in the figure, where there are 3 rows and 4 blocks in a row we get 12 blocks total.

Consider the provided information.

We need to draw a model and write an equation to represent 4 times as many as 3 is 12.

4 times as many as 3 can be written as:

4×3

This expression is equal to 12. Thus the combined equation is:

4×3=12

Therefore, the equation represents 4×3=12.

To learn more about times visit: https://brainly.com/question/28050940

#SPJ9

Patterns are used to represent arithmetic or geometric progressions

The pattern of the progression is 22n - 40

The sequence is given as:

-18,4,26

The above sequence is an arithmetic progression with the following parameters:

Initial value (a) = -18

Common difference (d) = 22

So, the pattern is calculated as:

\(T_n = a + (n - 1)d\)

This gives

\(T_n = -18 + (n - 1)22\)

Open the bracket

\(T_n = -18 -22 +22n\)

\(T_n = 22n - 40\)

Hence, the pattern of the progression is 22n - 40

Read more about patterns at:

https://brainly.com/question/7882626

Answer:

Step-by-step explanation:

Thomas has 300 leaves and after (t) minutes will have:

Lucas has 250 leaves and after (t) minutes will have:

Required equation is:

Step-by-step explanation:

bonjour quelqu'un peut-il se joindre à zo om Numéro d'identification 77974021488 le mot de passe 9taPHH

The correct expression which show the points Roopesh earns if two beanbags land on the board will be;

⇒ 2 × 2

or 2 + 2

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that,

In a bean bag toss game, players earn 2 points for each beanbag that lands on the game board and 5 points for each bean bag that lands in the hole.

Since, Roopesh dropped the bag on land for two times, and points for bag landing is 2.

Therefore, We get;

His score will be,

⇒ 2 × 2

or 2 + 2

Therefore, We get;

The correct expression which show the points Roopesh earns if two beanbags land on the board will be;

⇒ 2 × 2

or 2 + 2

Learn more references on expression visit:

brainly.com/question/14083225

#SPJ7

Answer:

C

Step-by-step explanation:

please mark brainliest if correct

Answer:

52

Step-by-step explanation:

If a decimal of a number is less than 0.5 then you round down

The two column proof showing that  ΔWXZ ≅ ΔYXZ is as shown below

From the given triangle, we see that;

Given: WX ≅ XY, XZ bisects WXY

Prove: ΔWXZ ≅ ΔYXZ

The two column proof for the above is as follows;

Statement 1;  WX ≅ XY, XZ bisects 2

Reason 1; Given

Statement 2: ∠WXZ ≅ YXZ

Reason 2; Angle bisector

Statement 3; XZ ≅ XZ

Reason 3: Reflexive property of congruence

Statement 4:  ΔWXZ  ≅ ΔYXZ

Reason 4:  SAS Congruence Postulate

Read more about two column proof at; https://brainly.com/question/1788884

#SPJ1