Help!! Gotta turn this in soon!

Answer:

Her initial money she started with us $800.00

Step-by-step explanation:

Let the initial money Ann began with be x.

So she spent 1/3 of x on transport,

2/5 of x on food

1/6 of x on clothing

And the remaining is $80.00.

Let's find the value of x

X(1/3) +x(2/5) + x(1/6) +80 = x

X(1/3) +x(2/5) + x(1/6) -x = -80

Taken 30 as the lowest common multiple of the factors gives

(10x + 12x + 5x -30x)/30 = -80

(10x + 12x + 5x -30x)= -2400

-3x = -2400

X = -2400/-3

X= 800

Answer:

Step-by-step explanation:

The hypotenuse is given by the Pythagorean theorem:

  h = √(3² +5²) = √34

The trig functions are the ratios of sides:

  Tan = Opposite/Adjacent

  tan(θ) = 5/3

__

  Sin = Opposite/Hypotenuse

  sin(θ) = 5/√34 = (5/34)√34

__

  Sec = Hypotenuse/Adjacent

  sec(θ) = √34/3

Answer:

  122.6 million

Step-by-step explanation:

Figure the value of t, then put that into the formula and do the arithmetic.

  t = 2007 =1991 = 16

  n(16) = 89e^(0.02·16) = 89·e^0.32 ≈ 122.6

The model predicts a rat population of 122.6 million in 2007.

Answer:

P(Chase) > P(Ava)

700 > 587

Therefore, Ava's claim is wrong!

On day 14, Chase's bacteria population will be greater than Ava's bacteria population.

Step-by-step explanation:

Please refer to the attached image.

Ava's bacteria population is modeled by the following equation.

[tex]$ b(t) = 200(1+0.08)^t $[/tex]

Where t is time in days and b(t) is the population of the bacteria after t days.

The graph represents the population of Chase's bacteria.

Ava claims that on day 14, she will have more bacteria than Chase.

Let us compare the population of both bacteria.

Chase bacteria population when t = 14 days:

From the graph, the population is approximately 700 at t = 14 days

P(Chase) ≈ 700

Ava bacteria population when t = 14 days:

at t = 14 days

[tex]b(t) = 200(1+0.08)^t \\\\ b(14) = 200(1.08)^{14} \\\\ b(14) = 200 (2.93719)\\\\ b(14) = 587.44[/tex]

So, the population is approximately 587 at t = 14 days

P(Ava) ≈ 587

P(Chase) > P(Ava)

700 > 587

Therefore, Ava's claim is wrong!

On day 14, Chase's bacteria population will be greater than Ava's bacteria population.

Answer:

D

Step-by-step explanation:

Trust

Answer:

one side is [tex]\sqrt{10}[/tex] and other 3[tex]\sqrt{10}[/tex]

in decimal one side = 3.16

other side =  9.48

Step-by-step explanation:

In right angle

if two sides containing right angle is a and b and h is hypotenuse then

by Pythagoras theorem

a^2 + b^2 = h^2

__________________________________

let one side be x

given

One of the triangle’s legs is 3  times the length of the other leg

then other leg = 3x

given h = 10 cm

applying Pythagoras theorem

[tex]a^2 + b^2 = h^2\\x^2 + (3x)^2 = 10^2\\x^2 + 9x^2 = 100\\10x^2 = 100\\x^2 = 100/10 = 10\\x = \sqrt{10}[/tex]

Thus, one side is [tex]\sqrt{10}[/tex] and other 3[tex]\sqrt{10}[/tex]

[tex]\sqrt{10} = 3.16\\[/tex]

thus, in decimal one side = 3.16

other side = 3.16*3 = 9.48

Answer:

Step-by-step explanation:

[tex]7^{0}=1[/tex]

[tex](7^{13})^{3}*7^{0}=7^{13*3}*1\\\\=7^{39}[/tex]

Answer:

0.492

Step-by-step explanation:

According to the given situation,  the calculation of Δy and dy is shown below:-

[tex]y = e^x, x = o, \Delta x = 0.6[/tex]

[tex]dy = f'(x) = e^x[/tex]

[tex]dy = e^x dx[/tex]

[tex]= e^x (0.4)[/tex]

[tex]dy = 0.4e^x[/tex]

[tex]\Delta y = f(0.4) - f(0)[/tex]

[tex]= e^{0.4} - e^0[/tex]

Now we use the scientific calculator or spreadsheet to determine the exponential value

= 1.491824698  - 1

= 0.491824698

or

= 0.492

Therefore for computing the  Δy and dy we simply applied the above formula.

Hence, the answer is 0.4918

Answer: [tex]2\sqrt{1+tant}+C[/tex]

Step-by-step explanation:

To integrate means to find the antiderivative of the function. For this problem, we can use u-substitution.

[tex]\int\limits {\frac{dt}{cos^2t\sqrt{1+tant} } } \[/tex]

Let's first use our identities to rewrite the function. Since [tex]\frac{1}{cosx} =secx[/tex], we can use this identity.

[tex]\int\limits {\frac{sec^2t}{\sqrt{1+tant} } } \,[/tex]

[tex]u=\sqrt{1+tant}[/tex]

[tex]du=\frac{sec^2t}{2\sqrt{1+tant} } dt[/tex]

Now that we have u and du, we can plug them back in.

[tex]\int\limits {2} \, du[/tex]

[tex]\int\limits{2} \, du=2u[/tex]

Since we know u, we can plug that in.

[tex]2\sqrt{1+tant}[/tex]

This may seem like the correct answer, but we forgot to add the constant.

[tex]2\sqrt{1+tant}+C[/tex]

Answer:

113

Step-by-step explanation:

Let the number of adult tickets sold =a

Let the number of student tickets sold =s

A total of 259 tickets were sold, therefore:

a+s=259

Adult tickets were sold for $24 each and student tickets were sold for $16 each.

Total Revenue = $5,312

Therefore:

24a+16s=5,312

We solve the two derived equations simultaneously.

From the first equation

a=259-s

Substitute a=259-s into 24a+16s=5,312

24(259-s)+16s=5,312

6216-24s+16s=5,312

-8s=5,312-6216

-8s=-904

Divide both sides by -8

s=113

Therefore, 113 student tickets were sold.

Answer: See bolded below

Step-by-step explanation:

With the given f(x) and g(x) given, we can directly plug them in to solve. The inverse is to replace the y with x and x with y, then solve for y.

A. f(g(-4))=143

g(-4)=3(-4)+1

g(-4)=-12+1

g(-4)=-11

With g(-4), we plug that into f(x) to find f(g(-4)).

f(-11)=(-11)²-2(-11)

f(-11)=121+22

f(-11)=143

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

B. 9x²-1

(3x+1)²-2(3x+1)

(9x²+6x+1)-6x-2

9x²-1

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

C. g⁻¹(x)=(x-1)/3

x=3y+1

x-1=3y

(x-1)/3=y

Answer:

-2 < x < 35

Step-by-step explanation:

We have that the larger side has a larger opposite angle and the smaller sides and a smaller opposite angle.

The opposite angle of the 14 unit side is 37 °.

The opposite angle of the 13-unit side is (x + 2) °.

Since 13 <14, it would be:

x + 2 <37

we subtract 2 on both sides

x <35

The value of x must be less than 35.

Now, to form a triangle, the angle must be greater than 0.

x + 2> 0

we subtract 2 on both sides

x> -2

The value of x must be greater than - 2.

Therefore the answer would be:

-2 <x <35

Answer:

657.96

Step-by-step explanation:

use formula A=P(1+r/n)^nt

A=500(1+.04/1)^1*7

A=500(1.04)^7

A=500(1.3159~)

A= 657.96~

Answer:

Step-by-step explanation:

y + 8 = 0(x - 0)

y + 8 = 0

y = -8

Answer:

703.36 in ^ 3

Step-by-step explanation:

We have the following information:

Height (h) = 32 in

Radius (r) = 7 in

Thickness (dr) = 0.5 in

Now the volume of a cylinder is:

V π (r ^ 2) * h

if we derive with respect to the radius we are left with:

dV / dr = 2 * π * r * h

then solved for dV, we would have:

dV = 2 * π * r * h * dr

we know all these values so we replace:

dV = 2 * π * 7 * 32 * 0.5

dV = 224 * π

if we say that π is approximately 3.14

V = 703.36

Therefore the estimate of the volume of that cylinder is 703.36 in ^ 3

Answer:

Step-by-step explanation:

Using the alternative hypothesis (µ < µ0),

To find the p-value with test statistic -1.25 and assuming a standard level of significance of 0.05, using a p value calculator, the p-value is 0.1057 which is great that 0.05. Thus, the results is not significant.

Using the p value calculation.

1. Check the left tailed z table as the test statistic is negative,

2. Then find the probabilitythat z is greater than your test statistic (look up your test statistic on the z-table- the value under 1.2 and 0.05 which is 0.8944

3. Then, find its corresponding probability, and subtract it from 1 to get your p-value- 1-0.8944 = 0.1056.

Answer:

(CX3)+10

Step-by-step explanation:

Answer:

c×3+10= j

Step-by-step explanation:

Answer:

the correct answer is 2x

Answer:

D. 2x

Step-by-step explanation:

20x² : 1, 2, 4, 5, 10, 20, x

14x : 1, 2, 7, 14, x

The greatest common factor of the polynomial is 2x.

2x(10x² - 7)

Answer:

The null and alternative hypothesis can be written as:

[tex]H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0[/tex]

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the proportion of 18- to 34-year-old Americans that own a cell phone is less than the proportion of 35- to 49-year-old Americans.

This claim will be reflected in the alternnative hypothesis, that will state that the population proportion 1 (18 to 34) is significantly smaller than the population proportion 2 (35 to 49).

On the contrary, the null hypothesis will state that the population proportion 1 is ot significantly smaller than the population proportion 2.

Then, the null and alternative hypothesis can be written as:

[tex]H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0[/tex]

The significance level is assumed to be 0.05.

The sample 1, of size n1=200 has a proportion of p1=0.63.

[tex]p_1=X_1/n_1=126/200=0.63[/tex]

The sample 2, of size n2=175 has a proportion of p2=0.68.

[tex]p_2=X_2/n_2=119/175=0.68[/tex]

The difference between proportions is (p1-p2)=-0.05.

[tex]p_d=p_1-p_2=0.63-0.68=-0.05[/tex]

The pooled proportion, needed to calculate the standard error, is:

[tex]p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{126+119}{200+175}=\dfrac{245}{375}=0.653[/tex]

The estimated standard error of the difference between means is computed using the formula:

[tex]s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.653*0.347}{200}+\dfrac{0.653*0.347}{175}}\\\\\\s_{p1-p2}=\sqrt{0.001132+0.001294}=\sqrt{0.002427}=0.049[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.05-0}{0.049}=\dfrac{-0.05}{0.049}=-1.01[/tex]

This test is a left-tailed test, so the P-value for this test is calculated as (using a z-table):

[tex]\text{P-value}=P(z<-1.01)=0.1554[/tex]

As the P-value (0.1554) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the proportion of 18- to 34-year-old Americans that own a cell phone is less than the proportion of 35- to 49-year-old Americans.

Answer:

3

Step-by-step explanation:

To begin with notice that  

        [tex]\displaymode{ \tan(x) = \frac{30}{10 + 30\cot(y)} }[/tex]

From that equation you get that

10 tan(x)  +  30tan(x) cot(x) = 30

therefore

tan(x) + 3 tan(x) cot(x) = 3

Answer:

Set 1: 30, 35, 32, 30, 29

Step-by-step explanation:

Let's first clarify what is accurate and precise:

Precise is based on how close two or more measured values are to each other. While something is said to be accurate, when the standard value values are close, which in our case is 30.

Therefore, we analyze each set:

Set 1: 30, 35, 32, 30, 29

This set is precise and accurate, since 2 values are 30 and all their values are close to each other.

Set 2: 15, 16, 12, 15, 14

This set is precise, because all of its values are close but not accurate.

Set 3: 19, 30, 78, 43, 30

This set is somewhat accurate because there are 2 values of 30, but it is not precise because its values are separate.

Set 4: 30, 30, 67, 12, 90

It is the same case of Set 3.

Therefore the answer is Set 1.

Answer:

Set 1: 30, 35, 32, 30, 29

Step-by-step explanation:

Answer:

white

Step-by-step explanation:

plato

The solution is Option D.

The missing color from the tree diagram is given by the equation A = white

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the missing color from the tree diagram be represented as A

Now , the value of A is

Jenson has 3 clean T-shirts of white , red and orange

Jenson has 2 clean pairs of jeans of blue and gray

Now , substituting the values in the equation , we get

For every blue jeans = { white , red , orange }

For every gray jeans = { A , red , orange }

From the equation , we get

The value of A = white

Therefore, the value of A is white

Hence , the missing color is white

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Answer: 12 mph

Step-by-step explanation:

20 minutes = 1/3 hour

Distance = speed x time

D = 27 x 1/3 = 09 miles

He had taken 45 minutes when he drove home

45 minutes = 3/4 hour

Speed = distance / time

Speed = 9 / 3/4

Speed = 12 mph

The average speed of Nick's journey back home is 12 mph.

Average speed is calculated by dividing a quantity by the time required to obtain that quantity. Meters per second is the SI unit of speed. The formula S = d/t, where S is the average speed, d is the total distance, and t is the total time, is used to determine average speed.

The first average speed at what Nick travels is 27 mph.

One day it took Nick 20 mins to drive to work.

Here, Distance = Speed × Time

= 27 × 20/60

= 27 × 1/3

= 9 miles

Nick had drove home using the same route, it had took Nick 45 minutes.

Here, speed = Distance/Time

= 9÷45/60

= 9×4/3

= 12 mph

Therefore, the average speed of Nick's journey back home is 12 mph.

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Answer:

It's written as

[tex]89.7 \times {10}^{9} [/tex]

Or

[tex]8.97 \times {10}^{10} [/tex]

Hope this helps you

Answer:

8.97 * 10 ^10

Step-by-step explanation:

We want one nonzero digit to the left of the decimal

8.97

We moved the decimal 10 places to the left

The exponent is positive 10 since we moved 10 places to the left

8.97 * 10 ^10

Answer:

0.1/4-3/20=1/40-6/40=-1/8 200% of this is -1/4

Step-by-step explanation:

This shows that  200 percent of (0.020(5/4) + 3 ((1/5) - (1/4))) is -2.75

Given the expression as shown in the question:

[tex]200\% \ of \ [0.020(\frac{5}{4} )+3(\frac{1}{5}- \frac{1}{4} )][/tex]

Expand the expression in the square bracket using the distribution law as shown:

[tex]=200\% \ of \ [0.020(\frac{5}{4} )+3(\frac{4-5}{20} )]\\=200\% \ of \ [0.020(\frac{5}{4} )+3(\frac{-1}{20} )]\\=200\% \ of \ [0.020(\frac{5}{4} )-(\frac{3}{20} )]\\=200\% \ of \ [0.020(1.25 )-\frac{3}{20}]\\=\frac{200}{100} \times [0.025-0.15]\\=2 \times [-0.125]\\=-2.75[/tex]

Hence the correct answer to the expression is -2.75.

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Answer:

8x = 104

x = 13

Step-by-step explanation:

Since we are trying to distribute it evenly, we divide 104 by 8 to get 13 pieces of candy per child.

The equation is saying 8 kids times x amount of candy per kid is equal to a total amount of 104 pieces of candy.

Answer:

Each kid will get 13 pieces of candy.

Step-by-step explanation:

If Carleen has 104 pieces of candy leftover from Halloween, and she splits the candy with 8 of the kids on her block, each kid gets 13 pieces. I know this because you divide:

104 divided by 8 equals 13

Answer:

D

Step-by-step explanation:

This is an odd degree polynomial (the highest degee is an odd number) so both ends will be in different directions, one will be up the other will be down. So rule out any option that has p(x) pointing in the same direction (A & C)

Now we are between B & D. Look at the leading coefficient 6 which is positive so we know that the left end goes down and the right end goes up. If the lc was negative the opposite would be true. So

D is the right answer

Answer:

12x/2 or 52/2

Step-by-step explanation:

Ok, perimeter is length+length+width+width. 12x/2 and 52/2 could are probably the answers.

Answer:

[tex]\frac{y}{3}[/tex]

Step-by-step explanation:

Well the quotient is the answer if y divided by 3.

So y divided by 3 is y over 3 y/3.

Answer:

10

Step-by-step explanation:

for this you need to sub the value of -3 for x

Q(-3)=(-3)^2-(-3)-2

=9+3-2

=10

Answer:

Q= x - X/x - 2/x

Step-by-step explanation:

hope this helps !

Answer:

The area of the sheet is approximately 50.59 m² or 50.6 m²

Step-by-step explanation:

The area of a rectangle is given by the following expression:

[tex]area = width*height[/tex]

Since breadth is the same as the width of the sheet, we can calculate its area as shown below:

[tex]area = 9.96*5.08 = 50.59[/tex]

The area of the sheet is approximately 50.59 m² or 50.6 m²