BRAINLIEST!!!!!!
Decide if the function is an exponential function. If it is, state the initial value and the base. (2 points)
y = - 3.8 ⋅ 2x

A. Exponential Function; base = x; initial value = - 3.8
B. Exponential Function; base = 2; initial value = - 3.8
C. Not an exponential function
D. Exponential Function; base = - 7.6; initial value = 1

Answers

Answer 1

Answer:

B. Exponential Function; base = 2; initial value = - 3.8

Step-by-step explanation:

hey there,

< The formula for exponential functions is [tex]A_{t} = A_{o} e^{kt}[/tex]. The function given DOES follow this formula (At = y, -3.8 = Ao, e = 2, k = 1, t = x) so that means it is an exponential function. C cannot be the answer.

You already know that e is the base in called the "natural base". e is equal to a number around 2. In this function, they just put it as "2". So we know that the base is equal to 2.

Ao means initial value and At means value after the experiment is done. Here, we can see Ao = -3.8 so that is the initial value.

base = 2; initial value = - 3.8 >

Hope this helped! Feel free to ask anything else.


Related Questions

electricity in a dash power station​

Answers

Answer:

Most of U.S. electricity generation is from electric power plants that use a turbine or similar machine to drive electricity generators. A turbine converts the potential and kinetic energy of a moving fluid (liquid or gas) to mechanical energy.

Step-by-step explanation:

pls mark brainliest

Answer:

most power stations make use of turbines which drives power generators. A turbine converts potential and kinetic of moving fluid to mechanical energy.

The model represents an equation. What value of X makes the equation true?
Answers are: -15
-3
15
3
Please help.

Answers

Answer:

D. 3

Step-by-step explanation:

Assuming the model represents an equation, the following can be deduced:

On the left side of the equation, the model shows we have 3 "x's", and 6 "1's". Let this represent:

3x + 6

On the right side of the equation, we have 2 "x's" and 9 "1's". Let this represent:

2x + 9.

The model would represent the equation below:

[tex] 3x + 6 = 2x + 9 [/tex]

Solve for x

[tex] 3x + 6 - 2x = 2x + 9 - 2x [/tex] (Subtracting 2x from both sides of the equation)

[tex] x + 6 = 9 [/tex]

[tex] x + 6 - 6 = 9 - 6 [/tex] (subtracting 6 from both sides of the equation)

[tex] x = 3 [/tex]

A car travel 300 miles on 10 gallons of gas,whats the ratio

Answers

Answer:

30/1

Step-by-step explanation:

300 miles per 10 gallons or 300/10.

simplify by dividing both numbers by the greatest common denominator. which in this case is 10. so divide 300 and 10 by ten and you get 30/1. it can't be simplified any more so thats the final simplified ratio.

what is the answer to 5/3x + 4 = 2/3x

Answers

Answer:

5/3x + 4 = 2/3x  

 

Step One- Subtract 5/3x to isolate the variable  

 

4 = -3/3x  

 

Step Two- Divide –3/3 to make your equation easier  

 

4 = -x  

 

Step Three- Divide by -1 (the lone negative cannot be there. It always represents a  –1)  

 

-4 = x      is your answer!  

Hopefully this helped! Feel free to mark brainliest!

[tex]\frac{(2xy^2)^5}{(4x^2y)^2 (xy^2)}[/tex]



Please solve this and also mention the steps

Answers

Answer:

2 y^6

Step-by-step explanation:

Simplify the following:

(2 x y^2)^5/((4 x^2 y)^2 x y^2)

Hint: | Distribute exponents over products in (4 x^2 y)^2.

Multiply each exponent in 4 x^2 y by 2:

(2 x y^2)^5/(4^2 x^(2×2) y^2 x y^2)

Hint: | Multiply 2 and 2 together.

2×2 = 4:

(2 x y^2)^5/(4^2 x^4 y^2 x y^2)

Hint: | Evaluate 4^2.

4^2 = 16:

(2 x y^2)^5/(16 x^4 y^2 x y^2)

Hint: | Distribute exponents over products in (2 x y^2)^5.

Multiply each exponent in 2 x y^2 by 5:

(2^5 x^5 y^(5×2))/(16 x^4 y^2 x y^2)

Hint: | Multiply 5 and 2 together.

5×2 = 10:

(2^5 x^5 y^10)/(16 x^4 y^2 x y^2)

Hint: | Compute 2^5 by repeated squaring. For example a^7 = a a^6 = a (a^3)^2 = a (a a^2)^2.

2^5 = 2×2^4 = 2 (2^2)^2:

(2 (2^2)^2 x^5 y^10)/(16 x^4 y^2 x y^2)

Hint: | Evaluate 2^2.

2^2 = 4:

(2×4^2 x^5 y^10)/(16 x^4 y^2 x y^2)

Hint: | Evaluate 4^2.

4^2 = 16:

(2×16 x^5 y^10)/(16 x^4 y^2 x y^2)

Hint: | Multiply 2 and 16 together.

2×16 = 32:

(32 x^5 y^10)/(16 x^4 y^2 x y^2)

Hint: | In (32 x^5 y^10)/(16 x^4 y^2 x y^2), divide 32 in the numerator by 16 in the denominator.

32/16 = (16×2)/16 = 2:

(2 x^5 y^10)/(x^4 y^2 x y^2)

Hint: | For all exponents, a^n a^m = a^(n + m). Apply this to (2 x^5 y^10)/(x^4 y^2 x y^2).

Combine powers. (2 x^5 y^10)/(x^4 y^2 x y^2) = 2 x^(5 - 1 - 4) y^(10 - 2 - 2):

2 x^(5 - 1 - 4) y^(10 - 2 - 2)

Hint: | Evaluate 5 - 1 - 4.

5 - 1 - 4 = 0:

2 x^0 y^(10 - 2 - 2)

Hint: | Evaluate 10 - 2 - 2.

10 - 2 - 2 = 6:

2 x^0 y^6

Hint: | Any nonzero expression to the zero power is one.

x^0 = 1:

2×1 y^6

Hint: | Simplify the expression.

Write 2×1 y^6 as 2 y^6:

Answer: 2 y^6

Who can help me :(??

Answers

Answer:

3rd option

Step-by-step explanation:

7.6, 7.42, square 48,  79%=0.79

Answer:

C

Step-by-step explanation:

To make this easier, simplify all values to rational numbers (simplify from percentages and roots):

79% → 79÷100 → 0.79

√48 ≈ 6.9

Now order from greatest to least (descending):

[tex]7.6,7.42,6.9,0.79[/tex]

Re-insert the given values before simplification:

7.6, 7.42, √48, 79%

The correct answer is option C.

:Done

Identify the segment bisector of AB¯¯¯¯¯¯¯¯. Then find AB.

Answers

Answer:

is there more to the question? this does not make seince  

Step-by-step explanation:

Show work for f(4) = 3x + 2

Answers

F(4)=3x+2
=3(4)+2
F(4)=14

The solution of the given function will be F(4)=14

Since we know that Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, it is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable . In physical sciences, functions are indispensable for formulating physical relationships.

We have been given a function as;

F(x)=3x+2

F(4)=3x+2

WE have to substitute the value of x as 4 then we get;

F(4)=3(4)+2

F(4)=14

Therefore, the value of the given function will be as 14.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ6

The expression 15n + 2(3p) represents the amount Isaiah spent buying gasoline and snacks, where n represents the price of each gallon of gasoline and p represents the cost of each snack that he bought. Which statement is true about the amount Isaiah spent?

He spent 6p dollars on gasoline.
He spent n + p dollars in all.
He bought 15 gallons of gasoline.
He bought 6 dollars worth of snacks.

Answers

Answer:

He bought 15 gallons of gasoline.

Step-by-step explanation:

In the expression [tex]15n+2(3p)[/tex]

[tex]n=[/tex] price of each gallon of gasoline

[tex]p=[/tex] cost of each snack bought

We can go ahead and distribute.

[tex]15n+6p[/tex]

The [tex]6p[/tex] means he bought 6 snacks. The [tex]15n[/tex] means he bought 15 gallons of gasoline.

Answer:

c

Step-by-step explanation:

Find two consecutive whole numbers that 141 lies between

Answers

Answer:

140 and 142?

Step-by-step explanation:

Stuco wants to start a new project to help with trash removal. They need $15 to buy supplies at the local landfill and they charge 75 per pound.
How can you use this info to assess the possible cost of the service project? If the Senior Class collects 235 pounds of trash, what is the cost
going to be?

Answers

Answer:

$17,640

Step-by-step explanation:

Stuco wants to start a new project to help with trash removal. They need $15 to buy supplies at the local landfill and they charge 75 per pound. If the Senior Class collects 235 pounds of trash, the cost  is going to be $17,640.

235 ⋅ 75 = 17,625

17,625 + 15 = 17,640

Therefore, the answer is $17,640.

When the system is executed, the system crashes with probability 0.05 if only Module A fails. The system crashes with probability 0.12 if only Module B fails. The system crashes with probability 0.60 if both Module A and Module B fail. The system crashes with probability 0.01 if neither fails. (a) When the system is executed, what is the probability the system will crash

Answers

Answer:

P (system will crash) = 0.101528

P(A and B jails / System crash) = 0.5390

Step-by-step explanation:

The complete question is as stated below

"Suppose a system has two modules, A and B , that function independently. Module A fails with probability 0.24 and Module B fails with probability 0.38 ,when the system is executed.  When the system is executed, the system crashes with probability 0.05 if only Module A fails. The system crashes with probability 0.12 if only Module B fails. The system crashes with probability 0.60 if both Module A and Module B fail. The system crashes with probability 0.01 if neither fails.

(a) When the system is executed, what is the probability the system will crash?

(b) If the system crashes, what is the probability that both modules A and B crashed?"

Solution

P(A fails) = 0.24

P(B fails) = 0.38

P(A ∩ B) = P (A) * P (B) = 0.24 * 0.38 = 0.0912

P(only A fails) = P(A) - P(A ∩ B) =0.24 - 0.24*0.38 = 0.1488

P(only A fails) =P(B) - P(B ∩ A) = 0.38 - 0.24*0.38 = 0.2888

P(Both fails) = P(A) * P(B) = 0.24*0.38 = 0.0912

P(Neither fails) = P(A) * P(B) =1-(0.24+0.38-0.0912) = 0.4712

P(Add to 1)

a) P (system will crash) = 0.1488*0.05+0.2888*0.12+0.0912*0.6+0.4712*0.01 P (system will crash) = 0.101528

b) P(A and B jails / System crash) = 0.0912*0.6 / 0.101528

P(A and B jails / System crash) = 0.5390

Which equation represents the data shown in the table below?
x
y
2
5
moll
6
7.
5
8
O A. y = 2x
B. y = x + 3
O C. y = 3x
D. y = x + 1

Answers

Answer:

the answer will be y=2x

Step-by-step explanation:

consider the diagram. lines ac and rs are

Answers

Answer:

Skew.

Step-by-step explanation:

Answer:

D- skew

Step-by-step explanation:

Just took the test today and got it right :)

State whether the given pairs are complementary or supplementary
1) 75 °, 105 °
2) 62 ° , 28 °
3) 132 ° , 48 °
4) 76 ° , 14 °
5) 118 ° , 62 °
6) 19 ° , 71 °

Answers

I need help on my school work can you help me.

2. A motorcycle rider moving with initial velocity of 15.0 m/s uniformly accelerates to a speed of 30.0 m/s in a.

distance of 40.0 m. (a) What is the acceleration? (b) How long does this take

ht

CAUTA

hindi tale to set to this height by How

Answers

Given :

Initial velocity , u = 15 m/s .

Final velocity , v = 30 m/s .

Distance travelled , d = 40 m .

Also , this body is uniformly accelerating .

To Find :

(a) What is the acceleration .

(b) How long does this take .

Solution :

Let , acceleration be a .

By , equation of motion :

[tex]v^2-u^2=2ad\\\\a=\dfrac{v^2-u^2}{2d}\\\\a=\dfrac{30^2-15^2}{2\times 40}\\\\a=8.44\ m/s^2[/tex]

Also , by equation :

[tex]v=u+at\\\\t=\dfrac{v-u}{a}\\\\t=\dfrac{30-15}{8.44}\ s\\\\t=1.78\ s[/tex]

Hence , this is the required solution .

The perimeter of a rectangle is 92 cm. If the length is 16 cm, how wide is the rectangle?

Answers

Answer:

30cm

Step-by-step explanation:

2w+2L=Perimeter of rectangle

2w+2*16=92

2w+32=92

2w=92-32

2w=60

w=30

check : 16 +16 +30 +30 =92cm

The ages of​ Edna, Ellie, and Elsa are consecutive integers. The sum of their ages is 120 .

Answers

Answer:

The answer is 39, 40, and 41

Step-by-step explanation:

You would use the equation x+x+1+x+2=120 to substitute for the ages. x would represent the youngest, then you would add a year to get the middle child (since it is consecutive numbers) then you would add 2 to get the oldest.  And when you get the answer to the equation (which is 39) that is only the age of the youngest (since you solve only for x and that represents the youngest child's age), so you have to add 1 and 2 to the answer to get the ages of the other two.

Hope this helped :)

Answer:

Edna = 39 years

Ellie = 40 years

Elsa = 41 years

Step-by-step explanation:

Edna = n

Ellie = n + 1

Elsa = Ellie + 1 = (n + 1) + 1 = n + 2

Edna + Ellie + Elsa = 120

replace

n + (n + 1) + (n + 2) = 120

3n + 3 = 120

3n = 120 - 3

3n = 117

n = 117 : 3

n = 39

Edna = n = 39 years

Ellie = n + 1 = 39 + 1 = 40 years

Elsa = n + 2 = 39 + 2 = 41 years

You are going to buy some folders to file
your orders. After doing research, you find
that the most cost-effective price is $7.40
per
box of 100 folders. You have $15 to
spend. How many 100 count boxes can
you buy?

Answers

Two because two boxes would be $14.80 so you wouldn’t have enough for three

Polly bought a cracker for $7 and then bought a parrot for $2. By how much did Polly's account change after her transactions?

Answers

Answer:

[tex]Changes = -\$9[/tex]

Step-by-step explanation:

Given

[tex]Cracker = \$7[/tex]

[tex]Parrot = \$2[/tex]

Required

Determine the changes in the account

First, we need to determine the total amount spent;

[tex]Total = Cracker + Parrot[/tex]

[tex]Total = \$7 + \$2[/tex]

[tex]Total = \$9[/tex]

Hence, the changes in her account is a debit of $9 i.e. -$9

8(3-z)=4z please help​

Answers

Answer:

z = 2

Step-by-step explanation:

Answer:

z=2

Step-by-step explanation:

8(3-z)=4z

multiply 8 by 3 and 8 by -z

24-8z=4z

subtract 24 from both sides

-8z=4z-24

subtract 4z from both sides

-12z=-24

divide both sides by -12

z=2

Solve the following inequality:

4x^2-25<0

I will give the person who answers this correctly brainiest.

Answers

Answer:

−2.5<x<2.5

Step-by-step explanation:

Let's find the critical points of the inequality.

4x2−25=0

4x2−25+25=0+25(Add 25 to both sides)

4x2=25

4x24=25/4(Divide both sides by 4)

x2=25/4

x=±√254(Take square root)

x=2.5,−2.5

Check intervals in between critical points. (Test values in the intervals to see if they work.)

x<−2.5(Doesn't work in original inequality)

−2.5<x<2.5(Works in original inequality)

x>2.5(Doesn't work in original inequality)

If C is the part of the circle (x/5)^2 + (y/5)^2 = 1 in the first quadrant, find the following line integral with respect to arc length. integral_c (8x - 3y)ds = _______.

Answers

Convert to polar coordinates, in which the circle's equation becomes

[tex]\left(\dfrac x5\right)^2+\left(\dfrac y5\right)^2=1\implies x^2+y^2=5^2\implies r^2=5^2\implies r=5[/tex]

where [tex]x=5\cos\theta[/tex] and [tex]y=5\sin\theta[/tex], and we get the part of the circle in the first quadrant with [tex]0\le \theta\le\frac\pi2[/tex].

So the integral is

[tex]\displaystyle\int_C(8x-3y)\,\mathrm ds=\int_0^{\frac\pi2}(8x(\theta)-3y(\theta))\sqrt{\left(\dfrac{\mathrm dx}{\mathrm d\theta}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm d\theta}\right)^2}\,\mathrm d\theta[/tex]

[tex]=\displaystyle\int_0^{\frac\pi2}(40\cos\theta-15\sin\theta)\sqrt{25\cos^2\theta+25\sin^2\theta}\,\mathrm d\theta[/tex]

[tex]=\displaystyle25\int_0^{\frac\pi2}(8\cos\theta-3\sin\theta)\,\mathrm d\theta[/tex]

[tex]=25(8\sin\theta+3\cos\theta)\bigg|_0^{\frac\pi2}=200-75=\boxed{125}[/tex]

Line integral involves integrating a function along a curve

The value of the line integral is 125

The equation is given as:

[tex]\mathbf{(\frac{x}{5})^2 + (\frac{y}{5})^2 = 1}[/tex]

Expand

[tex]\mathbf{\frac{x^2}{5^2} + \frac{y^2}{5^2} = 1}[/tex]

Multiply through by 5^2

[tex]\mathbf{x^2 + y^2 = 5^2}[/tex]

The equation of a circle is represented as:

[tex]\mathbf{(x - a)^2 + (y - b)^2 = r^2}[/tex]

So, by comparison

[tex]\mathbf{r^2 = 5^2}[/tex]

[tex]\mathbf{r = 5}[/tex]

Where:

[tex]\mathbf{x = rcos\theta}[/tex]

[tex]\mathbf{y = rsin\theta}[/tex]

So, we have:

[tex]\mathbf{\int_c (8x - 3y)ds}[/tex]

Because it is in the first quadrant (i.e. 0 to pi/2), the integrand becomes

[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_0 (8x - 3y)rd\theta}[/tex]

Convert to polar forms

[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_0 (8x - 3y)\sqrt{x^2 + y^2}d\theta}[/tex]

Substitute [tex]\mathbf{x = rcos\theta}[/tex] and [tex]\mathbf{y = rsin\theta}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c (8rcos(\theta) - 3rsin(\theta))\sqrt{(rcos(\theta))^2 + ( rsin(\theta))^2}d\theta}[/tex]

Substitute 5 for r

[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c (40cos(\theta) - 15sin(\theta))\sqrt{25cos^2\theta + 25sin^2\theta}\ d\theta}[/tex]

Factor out 5

[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c 5(8cos(\theta) - 3sin(\theta))\sqrt{25cos^2\theta + 25sin^2\theta}\ d\theta}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c 5(8cos(\theta) - 3sin(\theta))\sqrt{25(cos^2\theta + sin^2\theta)}\ d\theta}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c 5(8cos(\theta) - 3sin(\theta))5\sqrt{(cos^2\theta + sin^2\theta)}\ d\theta}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c 25(8cos(\theta) - 3sin(\theta))\sqrt{(cos^2\theta + sin^2\theta)}\ d\theta}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds =25 \int\limits^{\frac{\pi}{2}}_c (8cos(\theta) - 3sin(\theta))\sqrt{(cos^2\theta + sin^2\theta)}\ d\theta}[/tex]

In trigonometry

[tex]\mathbf{cos^2\theta + sin^2\theta = 1}[/tex]

So, we have:

[tex]\mathbf{\int_c (8x - 3y)ds =25 \int\limits^{\frac{\pi}{2}}_c (8cos(\theta) - 3sin(\theta))\sqrt{1}\ d\theta}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds =25 \int\limits^{\frac{\pi}{2}}_0 (8cos(\theta) - 3sin(\theta))\ d\theta}[/tex]

Integrate

[tex]\mathbf{\int_c (8x - 3y)ds =25 \times [ (8sin(\theta) + 3cos(\theta))\ } ]|\limits^{\frac{\pi}{2}}_0}[/tex]

Expand

[tex]\mathbf{\int_c (8x - 3y)ds =25 \times ([ 8sin(\frac{\pi}{2}) + 3cos(\frac{\pi}{2})] - ([ (8sin(0) + 3cos(0)])}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds =25 \times ([ 8\times 1 + 3\times 0)] - ([ (8\times 0 + 3\times 1])}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds =25 \times ([ 8] - [ 3])}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds =25 \times 5}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds =125}[/tex]

Hence, the value of the line integral is 125

Read more about line integrals at:

https://brainly.com/question/16571667

HELP HELP I NEED HELP PLEASE

Answers

Answer: 76 degrees

Step-by-step explanation:

m<abc = m<1 + m<2

4x+12=(2x-7)+(3x-4)

x=23

180=4x+12+m<3

m<3=76

Write three DIFFERENT properties that are equivalent to 3 4

Answers

Answer:

6/8

9/12

12/16

Step-by-step explanation:

PART 1
A.5x=3x
B.5=3
1) How can we get Equation B from Equation A?

Choose 1 answer:

A) Add/subtract the same quantity to/from both sides

B)Add/subtract a quantity to/from only one side

C)Multiply/divide both sides by the same non-zero constant

D)Multiply divide both sides by the same variable expression


PART 2
Based on the previous answer, are the equations equivalent? In others words , do they have the same solution?

choose 1 answer:
A) yes
B) No

Answers

Answer:

не знаю Не до х#я не знаю

A school authority claims that the average height of students is 178 cm. A researcher has taken a well-designed survey and his sample mean is 177.5 cm and the sample standard deviation is 2. The sample size is 25. Which statement is correct?

a) The result of the survey is statistically significant.

b) The sample mean and population mean is the same.

c) The result of the survey is biased.

d) The difference exists due to chance since the test statistic is small

Answers

Answer:

d) The difference exists due to chance since the test statistic is small

Step-by-step explanation:

From the given information:

Population mean = 178 cm

the sample mean = 177.5 cm

the standard deviation = 2

the sample size = 25

The null hypothesis and the alternative hypothesis can be computed as:

Null hypothesis:

[tex]H_o: \mu = 178[/tex]

Alternative hypothesis:

[tex]H_1: \mu \neq 178[/tex]

The t-test statistics is determined by using the formula:

[tex]t = \dfrac{X - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

[tex]t = \dfrac{177.5 - 178}{\dfrac{2}{\sqrt{25}}}[/tex]

[tex]t = \dfrac{-0.5}{\dfrac{2}{5}}}[/tex]

[tex]\mathbf{t= -1.25}[/tex]

Degree of freedom df = n- 1

Degree of freedom df = 25 - 1

Degree of freedom df = 24

At the level of significance ∝ = 0.05, the critical value  = 2.064

Decision rule: To reject the null hypothesis if the test statistics  is greater than the critical value at 0.05 level of significance

Conclusion: We fail to reject the null hypothesis since the test statistics is lesser than the critical value and we conclude that  the difference exists due to chance since the test statistic is small

Answer:

d. The difference exists due to chance since the test statistic is small

Step-by-step explanation:

With a very small sample size of 25, a difference of 0.5 cm is most likely due to chance.

Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded.

Maximize p=x+ysubject to

x+3y≤4

3x+y≤4

x≤0

y≤0

Answers

Answer:

P = 4

Step-by-step explanation:

The LP is:

Maximize p = x+y

x+3y≤4

3x+y≤4

x ≥ 0

y ≥ 0

Solving graphically using the geogebra graphing calculator which is attached, the points are A(0, 4), B(0, 1.33), C(1.33, 0), D(4, 0) and E(1, 1)

The maximum objective is:

For point A(0, 4):  Maximize p = x + y = 0 + 4 = 4

For point B(0, 1.33):  Maximize p = x + y = 0 + 1.33 = 1.33

For point C(1.33, 0):  Maximize p = x + y = 1.33 + 0 = 1.33

For point D(4, 0):  Maximize p = x + y = 4 + 0 = 4

For point E(1, 1):  Maximize p = x + y = 1 + 1 = 2

Hence, the maximum point is at A(0, 4) which gives P = 4

A standard working day is 8 hours, if you were to work 125% of a normal day, how many total hours would you work?

Answers

Answer:

10 hours

Step-by-step explanation:

It is given that,

Standard working day is 8 hours

If you were to work 125% of a normal day, then it means that,

[tex]125\%\ \text{of}\ 8\ \text{hours}\\\\=\dfrac{125}{100}\times 8\\\\=10\ \text{hours}[/tex]

Hence, you will work for 10 hours.

Find the missing angle
measures marked with
question marks.

Answers

Answer:

First one- The ? across from 70 degrees is 70 degrees, and the ones on the side are both 110 degrees.

The second one- The one across 53 degrees is 53 degrees and the ones are the side are both 127 degrees.

Step-by-step explanation:

Take the shown angle and subract that by 180 degrees to get your answer for the missing angles. And the one across from the shown angle is the same number.

Hope this helped im not sure if its right though.

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