You flip a coin twice.

What is the probability of getting tails and then getting heads?

Group of answer choices

25% (1/4)

50% (1/2)

75% (3/4)

0%

Answer:

Part 1: 8 km per liter

Part 2: 0.125 liters per km

Step-by-step explanation:

Part 1:

6x=48

x=48/6

x=8

Part 2:

8km per liter

?liters per km

1/8 = 0.125

0.125 liters per kilometer

Answer:

Step-by-step explanation:

we know that the formula for the volume of cylinder is

=[tex]\pi r^{2} h[/tex]

Given

radius(r) = 4

height(h) = 10

NOW

Volume =  [tex]\pi r^{2} h[/tex]

             = [tex]\pi *4^{2} *10[/tex]

             =[tex]160\pi units^{3}[/tex]

or

if we use the value of pie then its answer is

= 160 * 3.14

= 502.4[tex]units^{3}[/tex]

Hope it was helpful:)

Answer:

  c.  2; no

Step-by-step explanation:

The inner product is the sum of the products of corresponding vector components. It is a scalar value, not a vector value.

  (3, 5)·(4, -2) = (3)(4) +(5)(-2) = 12 -10 = 2

When the inner product is non-zero, the vectors are not perpendicular. (The yes answers with a non-zero value can be rejected out of hand.)

The appropriate choice is ...

  2; no

Final answer:

The inner product of the vectors (3,5) and (4,-2) is 2. As the dot product is not zero, the vectors are not perpendicular. Therefore, the correct answer is c.2; no.

Explanation:

To find the inner product of two vectors, we use the dot product formula. The dot product of two vectors u = (a1, b1) and v = (a2, b2) is calculated as u · v = a1 × a2 + b1 × b2. For the vectors (3,5) and (4,-2), we calculate as follows:

Inner product = 3 × 4 + 5 × (-2) = 12 - 10 = 2.

Two vectors are perpendicular if their dot product is zero. Since the dot product here is 2, not zero, the given vectors are not perpendicular.

Therefore, the correct answer is: c.2; no.

Answer:

The x intercept is (7/5,0)

Step-by-step explanation:

y=−5x+7

To find the x intercept, set y=0 and solve for x

0 = -5x+7

Subtract 7 from each side

0-7 = -5x+7-7

-7 = -5x

divide each side by -5

-7/-5 = -5x/-5

7/5 =x

The x intercept is (7/5,0)

Answer:

is the answer 0

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

2+2-1+4x4-12-7

4-1+4x4-12-7

3+4+4x4-12-7

7+4x4-12-7

11x4-12-7

44-12-7

32-7

25

hope help :) .^.

Answer:

The answer is $206,451

Step-by-step explanation

This scenario is asking to subtract 19 percent away from 229,390 .

Step one :  Divide 229,390 by 10 ( take away the zero behind the 9 )

Step 2 : Subtract 22,939 from 229,390 since we know ten percent of 229,390 is 22,939 = 206451

Answer:

Joe makes $206,451 annually

Step-by-step explanation:

 229,390 divided by 10 = 22,939

Then Subtract 22,939 from 229,390 = 206,451

Answer:

Vertex of parabola

Step-by-step explanation:

The red dot shows the extreme of parabola that is known as vertex.

Answer:

30 fruits

Step-by-step explanation:

Let

x ----> number of plums on the plate

y ----> number of apples on the plate

we know that

The ratio of the number of plums to the number of apples was 3:2

so

[tex]\frac{x}{y} =\frac{3}{2}[/tex]

[tex]x=1.5y[/tex] ----> equation A

After Ed took 6 plums from the plate, the number of plums remaining on the plate became the same as the number of apples

so

[tex]x-6=y[/tex] ----> equation B

substitute equation A in equation B

[tex]1.5y-6=y[/tex]

solve for y

[tex]1.5y-y=6\\0.5y=6\\y=12[/tex]

Find the value of x

[tex]x=1.5(12)=18[/tex]

therefore

Mon put on the table

[tex]x+y=18+12=30\ fruits[/tex]

Answer:

30

Step-by-step explanation:

Given Information:  

standard deviation = σ = 15 ft²

Confidence interval = 95%

Margin of error = 2.5 ft²

Required Information:  

Sample size = n = ?

Answer:

Sample size = n ≈ 139

Step-by-step explanation:  

The required number of observations can be found using ,

Me = z(σ/√n)

Where Me is the margin of error, z is the corresponding z-score of 95% confidence interval, σ is the standard deviation and n is the required sample size.

Rearrange the above equation to find the required number of sample size

√n = σz/Me

n = (σz/Me)²

For 95% confidence level, z-score = 1.96

n = (15*1.96/2.5)²

n = 138.29

since the sample size can't be in fraction so,

n ≈ 139

Therefore, a sample size of 139 would be needed.

Answer:

A) 0.685

Step-by-step explanation:

P(no snow) = 1 - P(snow)

1 - 0.315

0.685

Answer:

x=31

Step-by-step explanation:

The interior angles of a triangle must add to 180 degrees, so

81+68+x=180

Add on the left

149+x=180

Now, solve for x by getting it by itself. To do this, subtract 149 from both sides

149-149+x=180-149

x=31

Answer:

2 tan theta & sin2theta/cos^2theta

Step-by-step explanation:

Final answer:

The simplified forms of the expression sec^2(theta) sin(2theta) are 2 tan(theta) and sec^2(theta) - 1. These correspond to answer choices (c) and (d) respectively, by utilizing trigonometric identities to simplify the expression.

Explanation:

To find the simplified forms of the expression sec^2(theta) sin(2theta), we can use trigonometric identities. The identity for sin(2theta) is 2sin(theta)cos(theta). Since sec(theta) is the reciprocal of cos(theta), we can write sec^2(theta) as 1/cos^2(theta).

Therefore, the expression becomes:

sec^2(theta) sin(2theta) = (1/cos^2(theta)) * (2sin(theta)cos(theta))

We can simplify this further by canceling one cos(theta) from the numerator and denominator, which yields:

2sin(theta)/cos(theta)

Simplified, this is equal to 2 tan(theta), since tan(theta) = sin(theta)/cos(theta).

Using another trigonometric identity, sec^2(theta) = 1 + tan^2(theta), we can also express the original expression as:

sec^2(theta) - 1 which simplifies to tan^2(theta).

This means that the correct answers from the provided choices are (c) and (d).

Answer:

0.28142

Explanation

First change 0.792 into standard form

To evaluate the square root of 0.792 using tables, you would typically refer to a set of pre-calculated square root values in the form of a table. These tables were commonly used before calculators and computers became widely available.

To begin the evaluation process, you would follow these steps:
**Step 1: Locate the closest square values**
First locate the two perfect square values that surround 0.792. If you have a comprehensive table, you may find an exact value, but often you'll need to interpolate between two values.
**Step 2: Interpolation**
If 0.792 is not a value directly found in the table, you use interpolation. Let's assume that your table shows that the square root of 0.784 (which is \( 0.28²  \)) is 0.28, and the square root of 0.81 (which is \( 0.9²  \)) is 0.9. Your value, 0.792, lies between these two.
**Step 3: Estimation**
Since \( 0.28² \) is 0.784 and \( 0.9² \) is 0.81, 0.792 is closer to 0.784 than 0.81. You would then estimate it to be closer to 0.28 than 0.9.
**Step 4: Fine-tuning**
Now, find the difference between the square roots and the differences between the squares:
- The difference between 0.28 and 0.9 is 0.62.
- The difference between 0.784 and 0.81 is 0.026.
Next, find out where 0.792 falls between 0.784 and 0.81 in proportion to the difference between the square roots.
- The difference between 0.792 and 0.784 is 0.008.
- To find the proportion of 0.008 to the total difference 0.026, you divide 0.008 by 0.026 to get approximately 0.308.
- Now, multiply this proportion by the difference between the square roots to refine your estimate: 0.62 * 0.308 ≈ 0.191.
**Step 5: Calculate your estimate**
Add this value to the lower square root to get an approximation of the square root of 0.792:
0.28 + 0.191 ≈ 0.471.
**Final Answer**
The square root of 0.792 is approximately 0.471 using interpolation with table values.

Answer:

Monthly deposit, P = $776.41

Step-by-step explanation:

Interest rate per annum = 5.5%

number of years = 25

Since she pays monthly, number of payments per annum = 12

Interest rate per period, r = (Interest rate per annum)/(number of payments per annum)

r = 5.5%/12 = 0.46%

Number of periods, n = number of years * number of payments per annum

n = 25 * 12 = 300

Future value of annuity, FVA = $500,000

Monthly deposit will be:

[tex]P = \frac{(FVA) * r}{(1+r)^{n} -1} \\P = \frac{(500000) * 0.46/100}{(1+0.46/100)^{300}-1 }[/tex]

P = $776.41

Answer:

MP = $778.77

she should put $778.77 into the account each month

Step-by-step explanation:

This problem can be solved using the compound interest formula;

FV = MP{[(1+r/n)^(nt) - 1]/(r/n)} .......1

Where;

FV = Future value

MP = monthly contribution

r = yearly rate

n = number of times interest is compounded per year.

t = number of years

Given

FV = $500,000

t = 25 years

r = 5.5% = 0.055

n = 12 months/year

From equation 1, making MP the subject of formula;

MP = FV/{[(1+r/n)^(nt) - 1]/(r/n)}

Substituting the given values we have;

MP = 500,000/(((1+0.055/12)^(12×25) -1)/(0.055/12))

MP = $778.77

she should put $778.77 into the account each month

Answer:

c

Step-by-step explanation:

plz mark me brainlesssss

Answer:

C is the answer

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

x =(3-√37)/2=-1.541

x =(3+√37)/2= 4.541

Step-by-step explanation:

to long to explain sorry but trust me

Answer:

The answer to your question is below

Step-by-step explanation:

Data

Equation     x² + 3x + 7 = 0

Let's solve this equation by two methods.

1) Completing the perfect square trinomial

                 x² + 3x      = -7

                 x² + 3x + (3/2)² = -7 + (3/2)²

                (x + 3/2)² = -7 + 9/4

                 (x + 3/2)² = -19/4

                 x + 3/2 = √-19/√4

                 x = -3/2 + √-19/2         It has imaginary solutions.

2.- Graph the equation

See the graph below.

In the graph we notice that the equation does not cross the x-axis so it does not have real solution.

Answer:

The total income after 29 days is $16,106,127.33

Step-by-step explanation:

This is a geometric progression with the first element being 0.03 and the ratio is 2. So if we want to know the total income after 29 days we can use the formula for the sum of elements in a series of that kind, this is given by:

sum(29 elements) = [(first element)*(1 - r^(29))]/(1 - r)

sum(29 elements) = [0.03*(1 - 2^(29))]/(-1)

sum(29 elements) =(0.03*(-536870911))/(-1)

sum(29 elements) = -16106127.33/(-1) = 16106127.33

The total income after 29 days is $16,106,127.33

Answer:

1.17e+16

hope this helps! (if right pls mark brainy) thanks!

The dimensions of the tank that minimize the surface area are a square base of 24 ft × 24 ft and a height of 12 ft.

To minimize the surface area, we need to minimize the sum of the areas of the five sides of the tank. Let's denote the side length of the square base as x and the height of the tank as h.

Given that the volume V = 6912 ft³, and for a rectangular tank, the volume is V = base area × height = x² × h.

So, we have x² × h = 6912.

To minimize the surface area, we differentiate the surface area formula with respect to x, set it equal to zero, and solve for x.

The surface area A = x² + 4xh.

Differentiating A with respect to x, we get [tex]\frac{dA}{dx}[/tex] = 2x + 4h.

Setting [tex]\frac{dA}{dx}[/tex] = 0 gives us 2x + 4h = 0, so x = -2h.

Since x cannot be negative, we ignore this solution.

Now, using x² × h = 6912, we can solve for h:

h = [tex]\frac{6912}{x^{2} }[/tex]

Substituting x = -2h:

[tex]\[ h = \frac{6912}{(-2h)^2} = \frac{6912}{4h^2} = \frac{1728}{h^2} \][/tex]

Solving for h:

[tex]h^3 = \frac{1728}{h^2}\\h^5 = 1728\\h = \sqrt[5]{1728} = 12[/tex]

Now, substituting h = 12 back into x² × h = 6912:

[tex]x^2 \times 12 = 6912\\x^2 = \frac{6912}{12} = 576\\x = \sqrt{576} = 24[/tex]

Answer:

a) 32, 52

b) 18n

Step-by-step explanation:

a)

12+20=32

20+32=52

b)

4th element = 3n+4n=7n

5th element = 4n+7n=11n

6th element = 7n+11n=18n

Answer:

a) 32, 52  

b) 18n

Step-by-step explanation:

because 7n+n

3n+7

4

Answer:

There are 25 red flowers in the garden.

Step-by-step explanation:

In this problem we have a common issue where the number is repeated 3 times in questions. So I'll sove it using the ratio 5 reds to 10 yellows and the data that there are 75 yellows and red flowers in the garden.

Since we know that for every 5 red flowers in a garden there are 10 yellow ones, then the ratio of yellow flowers to red flowers is

ratio = red/yellow = 5/10 = 1/2

yellow = 2*red

Since there are 75 yellow and red flowers in the garden we have:

yellow + red = 75

2*red + red = 75

3*red = 75

red = 75/3 = 25

There are 25 red flowers in the garden.

Answer:

25

Step-by-step explanation:

Final answer:

The best estimate for (6.3 x 10⁻²) (9.9 x 10⁻³) in scientific notation is approximately 6.237 x 10⁻⁵.

Explanation:

To find the best estimate for (6.3 x 10⁻²) (9.9 x 10⁻³) written in scientific notation, you need to multiply the coefficients and add the exponents.

The product of 6.3x 10⁻² and 9.9 x 10⁻³ can be calculated as (6.3 x 9.9) x (10⁻² x 10⁻³). The coefficients multiply to give 62.37 (approximately), and the exponents add to give -5.

Therefore, the best estimate for (6.3 x 10⁻²) (9.9 x 10⁻³) in scientific notation is approximately 6.237 x 10⁻⁵.

Answer:

adult $5

child $12

Step-by-step explanation:

make the adult as x and child as y.

this will makes 6x + 6y = 102

12x + 3y = 96

solve it and the answer comes out.

Answer:

Yes

Step-by-step explanation:

For the equation to be equivalence then it must be

Reflexive, Symmetric and transitive

since |A|=|B|;  

Every element in A is in B then R is reflexive

If f(1) = g(1), then g(1) = f(1), so R is symmetric.

If f(1) = g(1) and g(1) = h(1), then f(1) = h(1), so R is transitive.

R is reflexive, symmetric, and transitive,

thus R is an equivalence relation.

Answer:

Ann=£38

Bill=£171

Chloe=£95

Dave=£95

Step-by-step explanation:

By the information provided we can create an equation:

[tex]2x+9x+2*5x=399\\11x+10x=399\\21x=399\\x=19[/tex]

Now that we know x, we multiply it correspondingly.

For Ann -> 2*19=38

Bill -> 9*19= 171

Chloe and Dave have the exact same amount each (because they both have 2.5 times the amount Ann's money)

Chloe/ Dave -> 5*19=95 each.

Answer:

y = (3x² + x - 2)/(x² - 1)

Step-by-step explanation:

(x - 1)(x + 1) = x² - 1

In the denominator

f(x)/(x² - 1)

f(x) has a factor (x + 1)

3 + (x + 1)/(x² - 1)

(3x² - 3 + x + 1)/(x² - 1)

y = (3x² + x - 2)/(x² - 1)

Answer:

610 and 970

Step-by-step explanation:

Answer:

610 and 970

Step-by-step explanation:

The number of  liters of solution in all is there in the test tubes is 2.25L, the correct option is A.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

Edwin fills 15 test tubes with a solution.

Each test tube contains 150 milliliters of solution.

Now,

The solution in all the tubes=150ml x 15

=2250ml

To convert it in liters

=2250/1000

=2.250L

Therefore, by algebra the answer will be 2.250L.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ6

Answer:

the answer is C. (1/7)

Step-by-step explanation:

I did it on edge