the form or the slope-intercept form of the equation of the line is

[tex]y=mx+b[/tex]where m is the slope and b is the y-intercept

we have the next equation

[tex]y=-\frac{1}{2}x+4[/tex]**as we can see the slope is m=-1/2, because we have the same form of the slope-intercept form**

10. A recipe calls for 5 cups of flour. If you only have a ½ cup to measure, how many ½ cups will you need for

the recipe?

Answer: 10 1/2 cups

Explanation: 1/2 goes into one twice. So, if you have 5 cups, you need to multiply it by 2 to account for every 1/2 a cup

Explanation: 1/2 goes into one twice. So, if you have 5 cups, you need to multiply it by 2 to account for every 1/2 a cup

In isosceles triangle ABC,AB=BC. AB and Bc are called_____a.bases b.verticesc.hypotenused. legs

**In an isosceles triangle**, there are

**2 legs (equal sides)**

**1 base**

The **2 legs **are the** equal sides**

The** base** is the **third side**

In the **isosceles triangle ABC**:

Since **AB = BC**, then

**AB and BC** are the **legs of the triangle**, then

**AB and BC are called legs**

**The answer is d**

The cranes shown in the figure are lifting an object that weighs 20,290 pounds. Find the tension in the cable of each crane. (Round your answers to the nearest whole number.)TL= lbsTR= lbs

we have that

TLy+TRy=20,290 ------> equation A

and

sin(24.3)=TLy/TL

TLy=TLsin(24.3) ------> equation B

sin(44.5)=TRy/TR

TRy=TRsin(44.5) ------> equation C

and

TLx=TRx

TLcos(24.3)=TRcos(44.5)

TL=TRcos(44.5)/cos(24.3) --------> equation D

substitute equation B and equation C in equation A

TLsin(24.3)+TRsin(44.5)=20,290 -------> equation E

substitute equation D in equation E

(TRcos(44.5)/cos(24.3))sin(24.3)+TRsin(44.5)=20,290

solve for TR

factor TR

TR[cos(44.5)/cos(24.3))sin(24.3)+sin(44.5)]=20,290

TR=19,835 pounds

Find TL

TL=(19,835)cos(44.5)/cos(24.3)

TL=

Complete both transformations below.

Then enter the final coordinates of the figure.

A(-1,3)

B(2,1)

C(1-1)

1) <2,3>

2) Dilate K = 2

A" ([?], [])

B" ([][])

C" ([],[])

Enter

**Answer:**

A" (2, 12)

B" (8,8)

C" (6, 4)

**Step-by-step explanation:**

For each point P(x, y) of the image, the translations are as follows:

Translate P(x, y) by <2, 3> [tex]\longrightarrow[/tex] P'(x + 2, y + 3) [tex]\longrightarrow[/tex] P'(x', y')

Dilate P'(x', y') by 2 [tex]\longrightarrow[/tex] P'' (x'', y'') [tex]\longrightarrow[/tex] P(2x', 2y')

Point [tex]\longrightarrow[/tex] Translate <2, 3> [tex]\longrightarrow[/tex] Dilate by 2

A(-1, 3) [tex]\longrightarrow[/tex] A'(-1 +2, 3 + 3) => A'(1, 6) [tex]\longrightarrow[/tex] A''(2, 12)

B(2, 1) [tex]\longrightarrow[/tex] B'(2 + 2, 1 + 3) => B'(4, 4) [tex]\longrightarrow[/tex] B"(8, 8)

C(1, -1) [tex]\longrightarrow[/tex] C'(1 + 2, -1 + 3) => C'(3, 2) [tex]\longrightarrow[/tex] C"(6, 4)

1messageJosh wants to estimate the mean age in a population of trees. He'll sample n trees and build a 95% confidence interval for the mean age. He doesn't want the margin of error to exceed 3 years. Preliminary data suggests that the standard deviation for the ages of trees in this population is 16 years.Which of these is the smallest approximate sample size required to obtain the desired margin of error?11 trees110 trees144 trees43 trees87 trees

The formula for the margin of error is

[tex]\begin{gathered} \text{MOE}=SE\times critical\text{ value} \\ SE\Rightarrow\text{standard error} \end{gathered}[/tex]The critical value for 95% confidence interval is 1.96

The standard error is

[tex]\begin{gathered} SE=\frac{\sigma}{\sqrt[]{n}} \\ \sigma\Rightarrow standard\text{ deviation} \\ n\Rightarrow\text{sample size} \end{gathered}[/tex]To know which of the list of options will yield approximately the desired margin of error, we will have to calculate the margin of error with the following values

For 110 trees, n= 110, standard dev. =16

[tex]\begin{gathered} SE=\frac{16}{\sqrt[]{110}}=1.53 \\ \text{MOE}=1.53\times1.96=2.9988 \end{gathered}[/tex]For 144 trees, n=144, standard dev=16

[tex]\begin{gathered} SE=\frac{16}{\sqrt[]{144}}=\frac{16}{12}=1.33 \\ \text{MOE}=1.33\times1.96=2.61 \end{gathered}[/tex]For 43 trees, n=43 , standard dev.=16

[tex]\begin{gathered} SE=\frac{16}{\sqrt[]{43}}=2.44 \\ \text{MOE}=2.44\times1.96=4.782 \end{gathered}[/tex]For 87 trees, n= 87, standard dev=16

[tex]\begin{gathered} SE=\frac{16}{\sqrt[]{87}}=1.72 \\ \text{MOE}=1.72\times1.96=3.3712 \end{gathered}[/tex]**Hence, from the above calculations, the most prefered is the sample size of 110 trees (because the margin of error of 2.9988 is approximately 3 )**

**Answer is 110 trees**

damion started solving this equation in an even different way what did he do first

With the help of **Linear equation **we can say that Damion added 12 on both sides.

The given **equation **was,

If we will** add 12 **on both sides ,

Hence we can say that Damion **added** 12 to both sides.

Know more about Linear Equations click here:

**https://brainly.com/question/12788590**

#SPJ9

3/9 - 6/9 = ?

,,,,,,,,,,,,,,,,,,,,,,,

**Answer:**

-3/9 or -1/3

**Step-by-step explanation:**

**:]**

**Answer: -1/3**

**Step-by-step explanation- To subtract fractions, you first make the the denominators the same. The denominator is the bottom number. To make the denominator the same, you look for the lowest common denominator. Making the answer -1/3**

Explain how you can use addition of groups to show that 4 x ( -3) = 12

The technique of repeated **addition** involves combining equal groups.

4 x ( -3) = 12.

Repeated addition is the combining of** equal groupings**. It offers a basis for comprehending multiplication. For instance, 3 x 5 can be expressed as 5 + 5 + 5 to represent 3 groups of 5 counters.

We have been given that

4 x ( -3) = 12

By using repeated addition for multiplication

Add 4 three times or add 3 for times ..

In question **negative** 3 is given so we add negative 4 , three times

(-4) + (-4) + (-4)

-12.

Or

Add negative 3 , four times

(-3) + (-3 )+ (-3) + (-3)

-12.

Hence, we solved given **multiplication** by the using repeated addition method.

To learn more about **Repeated addition**

**https://brainly.com/question/26671298**

#SPJ1

In gym class, a student can do 40 sit-ups in 60 seconds and 100 sit-ups in 150 seconds.

Graph the proportional relationship.

graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 90 comma 60

graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 60 comma 30

graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 60 comma 50

graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 90 comma 30

**Answer:**

(a) graph with line through (90, 60)

**Step-by-step explanation:**

You want a **graph** of the **proportional relationship** between **sit-ups** and **seconds** if a student can do **40 sit-ups in 60 seconds**.

Seconds are plotted on the x-axis, and sit-ups are plotted on the y-axis The graph will match that shown in the **attachment**.

<95141404393>

One card is drawn from a standard deck of 52 playing cards. Find the probability of each of the following events:

1) Probability of** drawing a spade is 14**

2) Probability of **drawing a seven is 1/13**

3) Probability that a** heart or spade is drawn = 1/2**

4) Probability that **blackjack is drawn = 1/26**

Simply put, the **probability** is the likelihood that something will occur. When we don't know how an** event** will turn out, we can discuss the likelihood or likelihood of** several outcomes. **Statistics is the study of events that follow a probability distribution.

1) There are 13 **spades** in total.

hence, the likelihood of drawing a spade is 13/52, or 14.

2) The sum of the **seven** is four. (4 suits are in the room)

Probability = 4/52 = 1/13

(3) A** heart or spade **is drawn.

Total hearts and spades: 13 + 13 = 26

Probability = 26/52 = 1/2

4) A** blackjack** is drawn, with a total of two blackjacks.

Probability = 2/52 = 1/26.

To know more about **Probability**, refer to this link:

https://brainly.com/question/12629667

**#SPJ1**

Simplify the expression 5(-7 + 3k)

The given expression is,

[tex]5(-7+3k)[/tex]Opening the brackets and multiplying each term inside the bracket with 5, we get,

[tex]\begin{gathered} \lbrack5\times(-7)\rbrack+(5\times3k)=-35+15\text{ k} \\ 15k=35 \\ k=\frac{35}{15}=2.33 \end{gathered}[/tex]The simplified expression is 15k = 35 and the value of k is 2.33.

6 to the negative 3rd power times 6 to the 2nd power times 6 to the 5th power times 6

The value of 6 to the negative 3rd **power** times 6 to the 2nd power times 6 to the 5th power times 6 is 6^5.

The **exponent** is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same **number**. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

Based on the information given, the **numbers** will be expressed as:

6^-3 × 6^2 × 6^5 × 6

= 6^5

It's important to note that they've the same base. Therefore, the **powers** will be added thus:

= -3 + 2 + 5 + 1

= 5

This gives 6^5. This illustrates the concept of **exponents**.

Learn more about **exponents** on:

brainly.com/question/13669161

#SPJ1

Tina couldn't wait to share the 36 cookies she made with her friends. If she shares with 8 friends, how many cookies (c) will each of them get?

Given:

Total number of cookies is, *N* = 36.

Number of friends is, *n*(f) = 8.

The objective is to find the number of cookies (c) will each of them get while sharing.

Consider the required number of cookies to each person as (c).

The value of *c* can be calculated as,

**Hence, each of them will get 4 and a half cookies.**

Lottery numbers in a particular state consist of 5 digits. Each lottery cube that is drawn/rolled has six sides, numbered 1-6. How many different lottery numbers are possible? O 720 lottery number O 7776 lottery numbers

As per the concept of **probability**, there are **7776** different lottery numbers are possible.

**Probability**:

Probability means the concept that is based on the **possible **chances of something to happen.

Given,

Lottery numbers in a particular state consist of 5 digits. Each lottery cube that is drawn/rolled has six sides, numbered 1-6.

Here we need to find how many different lottery numbers are possible.

Through the given question we know that,

The number of digits in a lottery ticket = 5

Side in cube = 6

So, in each time they will roll the dice 5 times to get one number.

So, the **possible options** of that event are,

For the first time we have 6 options

Second time we got 6 options

Third time also we got six option

Fourth time = 6 options

Fifth time = 6 options.

Therefore, it can be written as,

=> 6 x 6 x 6 x 6 x 6

=> 6⁵

=> 7776.

Therefore, there are 7776 different lottery numbers are possible.

To know more about **Probability **here.

https://brainly.com/question/11234923

#SPJ1

there are 13 porters carrying total weight of 195 kg on an expeditioin. extra porters joined the group so, they carry average weight of 13kg of baggage. find the number of portes added

**Answer: 2 porters joined the group**

**Step-by-step explanation:**

First, you are told that "13 porters are carrying a total weight of 195kg". You can use this information to create an equation to find the average weight carried by each porter.

[tex]\frac{195 kg}{13}=15kg[/tex]

^195kg (total weight) divided by 13 (the number of porters) is equal to 15kg (the average weight carried by each of the 13 porters).

You are then told that "extra porters join the group, so they carry an average weight of 13 kg of baggage". because some porters joined the group, you'll have to add p (p = number of porters) to the original equation and change the average weight from 15kg to 13kg.

[tex]\frac{195kg}{13 +p} = 13kg[/tex]

^195kg (total weight) divided by 13+p (total number of porters after some joined group) is equal to 13kg (new average weight)

You can then use your new equation to solve for "p" and find the number of porters added.

p = 2

In triangle DEF, m∠D = (2x + 19)°, m∠E = (3x + 24)°, and m∠F = 87°. Determine the degree measure of the exterior angle to ∠D.

54°

39°

141°

126°

The value of x is equal to 10 and the **exterior angle** to angle d is equal to 141 degrees.

To solve this problem, we have to recall that the sum of** angles **in a** **triangle** **is equal to 180 degrees.

Applying that formula here;

[tex]m < d + m < e + m < f = 180^0\\(2x + 19) + (3x + 24) + 87 = 180\\x = 10[/tex]

But the **exterior angle** to angle D can be found assuming the angle** **lies on a straight line, then the sum of** **angle D and it's** **exterior angle would be equal to 180 degrees.

Let y = exterior angle

[tex]m < d + y = 180\\2x + 19 + y = 180\\x = 10\\2(10) + 19 + y = 180\\20 + 19 + y = 180\\39 + y = 180\\y = 141^0[/tex]

The value of the exterior angle to d is equal to 141 degrees.

Learn more on **exterior angles **here;

https://brainly.com/question/17972372

#SPJ1

**Answer: its C **

**Step-by-step explanation: i got it right**

calcula la suma de los quince primeros multiplos de 9

**Answer:**

**Step-by-step explanation:**

9*(15/2)[2+14] = 9*15*16 = 2160.

can you help me find the answer to this question find the area of this figure round your answer to the nearest hundredth use 3.14 to approximate tt. a= ? ft 2

First, let's calculate the area of the triangle.

[tex]A=\frac{1}{2}b\cdot h[/tex][tex]A=\frac{1}{2}\cdot6\cdot8=\frac{48}{2}=24\text{ ft2}[/tex]Now let's calculate the area of the semicircle.

[tex]A=3.14\cdot\frac{r^2}{2}[/tex][tex]A=3.14\cdot\frac{4^2}{2}=25.12\text{ ft2}[/tex]The total area of the figure is:

24+25.12 ft2 = **49.12 ft2**

Given m∥n, find the value of x

**Answer:**

x=55

**Step-by-step explanation:**

2x+6+x+9=180

3x=165

x=55

:]

question 1.P(A)=0.25 P(B)=0.65 P(A or B)=?a.0.45b.0.2c.0.65d.0.9question 2P(A)=0.45 P(B)=0.35 P(A or B)=?a.0.75b.0.85c.0.8d.0.35

Given,

1)P(A) = 0.25

P(B) = 0.65

The value of P( A or B) is,

[tex]\begin{gathered} P(A\cup B)=P(A)+P(B)_{} \\ P(A\cup B)=0.25+0.65 \\ P(A\cup B)=0.90 \end{gathered}[/tex]**Hence, option d is correct.**

2)P(A) = 0.45

P(B) = 0.35

The value of P( A or B) is,

[tex]\begin{gathered} P(A\cup B)=P(A)+P(B)_{} \\ P(A\cup B)=0.45+0.35 \\ P(A\cup B)=0.80 \end{gathered}[/tex]**Hence, option c is correct.**

Write an equation describing the relationship of the given variables

[tex]\begin{gathered} y=k\cdot\frac{x^2z^2}{\sqrt{w}\sqrt{t}} \\ \text{when, x=}2\text{,z=3,w=16,t=}3\text{ the value of y is 1} \\ 1=k\cdot\frac{(2)^2(3)^2}{\sqrt{16}\sqrt{3}} \\ 1=k\cdot\frac{(4)(9)}{(4)(\sqrt{3})} \\ 1=k\cdot\frac{9}{\sqrt{3}} \\ \text{Solving k} \\ k=\frac{\sqrt{3}}{9} \\ \text{Hence } \\ y=(\frac{\sqrt[]{3}}{9})\cdot\frac{x^2z^2}{\sqrt[]{w}\sqrt[]{t}} \\ y=\text{?, when x=}3\text{,z=}2\text{,w=}36\text{, t=1} \\ y=(\frac{\sqrt[]{3}}{9})\cdot(\frac{(3)^2(2)^2}{\sqrt{36}\sqrt{1}}) \\ y=(\frac{\sqrt[]{3}}{9})\cdot(\frac{(9)^{}(4)^{}}{(6)(1)}) \\ y=(\frac{\sqrt[]{3}}{9})\cdot(\frac{36}{6}) \\ y=(\frac{\sqrt[]{3}}{9})\cdot(6) \\ y=\frac{6\sqrt{3}}{9} \\ y=\frac{2\sqrt[]{3}}{3} \\ \text{The value of y is }\frac{2\sqrt[]{3}}{3}\approx1.1547 \end{gathered}[/tex]

identify the mapping diagram that represents the relation and determine whether the relation is a function

F is the correct answer (option A) that is, the relation is like many to one. So, it is a **function**.

Given **mapping diagram** that represents the relation.

We have to determine whether the relation is a function.

(-8, -6), (-5, 2), (-8, 1), (7, 3)

Here,

**Domain** = (-8, -5, 7)

Range = (-6, 2, 1, 3)

A function is a relation where each input has only one output.

Here,

F. The relation is like many to one. So, it is a function.

G. The relation is many to one. So, it is a function.

H. The relation is one to many. It is not a function.

G. The **relation **is one to many. It is not a function.

So, F is the correct answer (option A) that is, the relation is like many to one. So, it is a **function.**

Learn more about **mapping diagram **here:

https://brainly.com/question/12949831

#SPJ1

Simplify the expression 7(6t+2)+3-5(t-1).

We are given the following expression:

[tex]7(6t+2)+3-5(t-1)[/tex]To simplify the expression, we will first use the distributive property on the parenthesis, like this:

[tex]7\times6t+7\times2+3-5\times t+5\times1[/tex]Solving the operations:

[tex]42t+14+3-5t+5[/tex]Now we add like terms:

[tex](42t-5t)+(14+3+5)[/tex]Solving the operations:

[tex]37t+22[/tex]This is the most simplified form of the equation

The safe load, L. of a wooden beam supported at both ends varies jointly as the width, w, the square of the depth, d. and inversely as the length. I. A wooden beam 8 in. wide. 6 in. deep, and 10 ft long holds up 1966 lb. What load would a beam 3 in. wide 9 in. deep and 11 ft long of the same material support? (Round off your answer to the nearest pound.)

The** safe load**, L of a wooden a beam 3 in. wide 9 in. deep and 11 ft long of the same material support is 307.17

Analyzing the given conditions in the question, we get

The safe load, L is directly proportional to width (w) and square of depth (d²)

also,

L is** inversely as length** (l) i.e L = k/l

combining the above conditions, we get an equation as:

L = k(wd²/l)

now, for the first case we have been given

w = 8 in

d = 6 in

l = 10 ft

L = 1966 lbs

thus,

1966 lb = k ((8 × 6²)/10)

or

k = 68.26 lbs/(ft.in³)

Now,

Using the calculated value of k to calculate the value of L in the second case

in the second case, we have

w = 3 in

d =9 in

l = 11 ft

Final Safe load L' = 68.26 × (6 × 3²/12)

or

L' =307.17 lb

Therefore, The** safe load**, L of a wooden a beam 3 in. wide 9 in. deep and 11 ft long of the same material support is 307.17

To learn more about** load calculation** refer here

https://brainly.com/question/13014947

**#SPJ1**

Which analytical model best represents the data in the table below?

When x = 0, y = 2, then the constant term of the polynomial must be 2. This discards the last 2 options.

When x = 1, y = 11. Substituting x = 1 into the first two options, we get:

[tex]\begin{gathered} y=9\cdot1^2+2=9+2=11 \\ y=9\cdot1^2+11\cdot1+2=9+11+2=22 \end{gathered}[/tex]Then, **y = 9x² + 2 is correct.**

Towson Corporation issued $150,000 of 7% ten year bonds at 103 on the semi-annual interest date. Towson uses the straight line method to amortize any bond premium or discount. What is the amount of bond amortization for each six month period? Answer in whole dollars (no cents).

The **amount **of **bond amortization** for each **six month** period is [tex]\$225[/tex].

In the given question,

Towson Corporation issued [tex]\$150,000[/tex] of [tex]7\%[/tex] ten year bonds at [tex]103[/tex] on the semi-annual interest date.

Towson uses the straight line method to amortize any bond premium or discount.

We have to find the amount of bond amortization for each six month period.

**Cash issued** [tex]=\$150,000[/tex]

Rate [tex]=7\%[/tex] ten year bond at [tex]103[/tex] n the semi-annual interest date.

So the cash proceed on issue of bond = Cash issued [tex]\times103[/tex] [tex]/100[/tex]

**Cash proceed** on issue of bond [tex]=\$150,000\times\frac{103}{100}[/tex]

Firstly simplifying ratio

After simplification of ratio

Cash proceed on issue of bond [tex]=\$150,000\times1.03[/tex]

Now simplifying after multiplication

Cash proceed on issue of bond [tex]=\$154,500[/tex]

Hence, the cash proceed on issue of bond is [tex]\$154,500[/tex].

Now we find the premium that issued in the bond.

**Premium** on issue of **bond** [tex]=\$154,500-\$150,000[/tex]

Simplifying

Premium on issue of bond [tex]=\$4,500[/tex]

Hence, the premium on issue of bond is [tex]\$4,500[/tex]

Now finding the amount of bond amortization for each six month period.

**Bond Amortization** = (Premium on issue of bond/10 years) * 1/2

Bond Amortization [tex]=(\frac{\$4500}{10})\times\frac{1}{2}[/tex]

Simplifying the ratio

Bond Amortization [tex]=\$450\times0.5[/tex]

Bond Amortization [tex]=\$225[/tex]

Hence, the amount of bond amortization for each six month period is [tex]\$225[/tex].

To learn more about **bond amortization** link is here

https://brainly.com/question/16815391

#SPJ1

How much interest is earned in an investment if $720 is deposited monthly at 7.8% compounded monthly if the term of the investment is 6 years?$__________Round to the nearest cent

**Given:**

The initial investment is, *P* = $720.

The rate of interest is, *r* = 7.8% = 0.078.

The number of years of investment is, *t *= 6 years.

**Explanation:**

The general formula to find the compound interest is,

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]Here, *n* represents the number of times compounded in a year. It is given that the amount is compounded monthly, so the value of *n* = 12.

**To find total amount after 6 years:**

Now, substitute the given values in the general equation.

[tex]\begin{gathered} A=720(1+\frac{0.078}{12})^{12(6)} \\ =720(1+0.0065)^{72} \\ =1147.95 \end{gathered}[/tex]Thus, the total amount earned is $1147.95.

**To fnd interest amount:**

Now, the amount of interest can be calculated as,

[tex]\begin{gathered} I=A-P \\ =1147.95-720 \\ =427.95 \end{gathered}[/tex]**Hence, the interest amount earned is $427.95 and the total amount earned is $1147.95.**

Capital Gate Tower is

150 meters tall

(measured vertically

from the ground) and

makes a 72° angle

with the ground. If

you were to climb to

the top and then

accidently drop your

keys, how far from

the base of the tower

would they land?

**Answer:**

**Step-by-step explanation:**

[tex]\frac{150}{x} =tan72 \\x=150 cot~72=150 cot(90-18)=150 ~tan ~18 \approx 48.74 ~meteres[/tex]

how far apart is -1 1/3 and 4 2/5 on a number line

-3.07 is the difference between them

Help?

(ii) Not sure what scale factor is

(ii) And I’ve never learnt this

This video from khan academy should clear up your confusion on scale factors.

https://www.khanacademy.org/math/7th-engage-ny/engage-7th-module-1/7th-module-1-topic-d/v/identifying-scale-factors

Roots of Quadratics 50 PTS!!!
How could we verify Micha Frazer-Carroll content of her piece (Dont demonise social media, it can be a blessing for teens with problems)
I WILL GIVE BRAINLIEST!! HELP PLEASE NOW!!A conjecture and the flowchart proof used to prove the conjecture are shown.Drag an expression or phrase to each box to complete the proof.
what is the common ratio for the geometric sequence 35/2, 7, 14 / 5, 28 / 25, enter your answer as a decimal
Please help I have no clue what Im doing! Grade is getting low and this was due awhile ago! Given the function below, determine the following.f(x) = 10x + 13Find f(3).f(3)Find f(-8).f(-8)Find x if f(x) = 53.x=
A mass on the end of a spring undergoes simple harmonic motion. At the instant when the mass is at its equilibrium position, what is its instantaneous acceleration?.
a company has the opportunity to invest in one of two mutually exclusive projects. project a has an initial cost of $1.2 million and cash flows with a present value of $4.5 million. project b has an initial cost of $2 million and cash flows with a present value of $5 million. which project should the firm choose to invest in? multiple choice question.
the recommended dietary allowances, adequate intakes, estimated energy requirements, tolerable upper intake levels, and the chronic disease risk reduction intakes are different types of .
The telephone company offers two billing plans for local calls. Plan 1 charges $31 permonth for unlimited calls and Plan 2 charges $13 per month plus $0.03 per call.a. Use an inequality to find number of monthly calls for which Plan 1 is moreeconomical than Plan 2.b. Explain the meaning of the answer to part a.
Is economic inequality a problem in the United States?
yasir received a 50% increase in his allowance this year. He now receives 33 a week. What was his weekly allowance last year?
as conrad has gotten older, he finds that it is becoming more difficult to remember certain words or the name of a new acquaintance. what is the most likely explanation for this change in memory?
the third term in the sequence is 11the term-to-term rule is "take away 4"write an expression on in terms of n for the nth term of the sequence
the congressional legislation that extended an array of benefits, including unemployment pay, educational scholarships, low-cost mortgage loans, pensions, and job training, to millions of returning veterans beginning in 1944 was called
If a car moves along a perfectly straight road at a velocity of 24 m/s, how far will the car go in 35 minutes?
Give the shell electron configuration for the following. (For example, the shell electron configuration of lithium is written 2,1.)(a) fluorine(b) nitrogen
This year, the science fair was won by Alex Muros. His project explained why leaves change colors in the fall. Alex was given a prize by the principal. He will also get to present his project at the statewide science fair in the spring. Alex will be taken out for ice cream by his parents to celebrate his hard work.Rewrite the paragraph so that all of the sentences are in the active voice.
You are on the prom decorating committee and are in charge of buying balloons. you want to use both latex and mylar balloons. The latex balloons cost $.10 each and the mylar balloons cost $.50 each. You need 125 balloons and you have $32.50 to spend. how many of each can you buy?
Argon is one of the six noble gases, a group of elements that are known to be nonreactive. Explain why Noble Gases such as argon are nonreactive. Provide evidence from the model you drew in Question 1 to support your response.
Given{x=7y-9 2x-14y= -18I think the solution is b? Am I correct?