A hiker travels 3 km due east then 2 km on a bearing of 110°. Find: a) how far south the hiker is from the starting point Hint: construct a right angle triangle b) how far east the hiker is from the starting point c) The bearing from the starting point to the finishing point

Answer: Fraction= 3 3/4kg

Decimal= 3.75kg

Step-by-step explanation:

15 kilograms of rice are separated equally into 4 containers. To get the number of kilograms of rice are in each container, we divide the total kilograms of rice by the number of containers. This will be:

Kilograms of rice in each container=

15/4 =3 3/4kg as a fraction.

To convert the fraction to decimal, we divide 3 by 4 and add to 3. 3/4 equals 0.75. We then add 3 to 0.75. This will be:

Decimal of 3 3/4 = 3+0.75 = 3.75kg

FInd the height of the box by dividing the volume by 7 x 5 ( length x width)

Height = 105 / 35

Height = 3cm

There are 6 sides to a box.

Surface area = 2 x length x width + 2 x length x height + 2 times height x width

SA = 2*7*5 + 2*7*3 + 2*5*3

SA = 70 + 42 + 30

SA = 142 cm^2

Answer:

n=438

Step-by-step explanation:

-Given the sample proportion [tex]\hat p=0.24[/tex] and the confidence level is 95%.

-The sample size can be calculated using the formula;

[tex]ME=z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

#Substitute parameters in the formula and make n the subject of the formula;

[tex]ME=z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\\\=z_{0.025}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\\\n=(\frac{z_{0.025}}{ME})^2\hat p(1-\hat p)\\\\\\=(\frac{1.96}{0.04})^2\times 0.24\times 0.76\\\\=437.94\approx 438[/tex]

Hence, the desired sample size is n=438

Answer:

y= -11/144(x-8)^2+6

Step-by-step explanation:

This equation can be represented in vertex form, which is:  

y=a(x-h)^2+k

If we plug in 8 as h and 6 as k we get the following equation:

y=a(x-8)^2+6

Now we have to plug in x and y. We can use the other point (-4,-5) and plug it into the equation and get:

-5=a(-4-8)^2+6

Once we solve this we get a= -11/144

Now we have to plug in -11/144 into the original equation to get

y = -11/144 (x-8)^2 + 6

Answer:

50m per 1 minute

Step-by-step explanation:

250m/5 min=50/1

pls mark brainliest!! i only need one more!

Step-by-step explanation:

firstly you will add

the red cars and non red cars together and which is 65

probability of the red car = 25/65

to the lowest form is the 5/13(D)

Answer:

its D

Step-by-step explanation:

"The correct answer is C. The statement If these probabilities are correct, 12%is the probability that it will rain both days

To find the probability that it will rain both days, we need to multiply the probability of rain on Saturday by the probability of rain on Sunday, assuming that the events are independent.

The probability of rain on Saturday is 30%, which can be expressed as 0.30 or[tex]\(\frac{30}{100}\)[/tex].

The probability of rain on Sunday is 40%, which can be expressed as 0.40 or[tex]\(\frac{40}{100}\)[/tex].

Now, we multiply these two probabilities to find the probability of both events occurring:

[tex]\[ P(\text{Rain on Saturday}) \times P(\text{Rain on Sunday}) = \frac{30}{100} \times \frac{40}{100} \][/tex]

[tex]\[ \frac{30}{100} \times \frac{40}{100} = \frac{30 \times 40}{100 \times 100} \] \[ \frac{30 \times 40}{100 \times 100} = \frac{1200}{10000} \] \[ \frac{1200}{10000} = \frac{12}{100} \] \[ \frac{12}{100} = 0.12 \][/tex]

Converting this decimal to a percentage, we get 12%.

Therefore, the probability that it will rain both days is 12%."

Answer: 17 containers

Step-by-step explanation:

Debbie bought 8 1/2 lb of ground turkey and she packed the turkey in 1/2 lb containers before put the turkeys in the freezer.

To calculate the number of containers she used for packing the turkey, we divide 8 1/2lb by 1/2 lb.

= 8 1/2 ÷ 1/2

We change 8 1/2 to improper fraction

= 17/2 ÷ 1/2

= 17/2 × 2/1

= 17

Debbie would need 17 containers to pack the turkey.

Answer:

Debbie will need 17 containers to pack the turkey.

Step-by-step explanation:

Debbie bought 8 1/2 lb of ground turkey

she packed the turkey in 1/2 lb containers

To know the number of containers she used for packing the turkey,

we divide 8 1/2lb of ground turkey by 1/2 lb containers.

[tex]=8\frac{1}{2} \div \frac{1}{2}[/tex]

[tex]= \frac{17}{2} \div \frac{1}{2}[/tex]

[tex]= \frac{17}{2} \times \frac{2}{1}[/tex]

[tex]=\frac{34}{2} \\\\= 17[/tex]

Debbie will need 17 containers to pack the turkey.

Answer:

After 21.28  minutes will the coffee be only lukewarm (30∘C)

Step-by-step explanation:

Given -

A travel mug of 87∘C coffee is left on the roof of a parked car on a cold winter day . The temperature of the coffee after t minutes is given by

                 [tex]H = 87(2)^{\frac{-t}{14}}[/tex]

Let after [tex]t_{1}[/tex] time  H will be [tex]$30^\circ$[/tex]C

put t = [tex]t_{1}[/tex]  ,  H = [tex]$30^\circ$[/tex]C

       [tex]30 = 87(2)^{\frac{-t_{1}}{14}}[/tex]

       [tex]\frac{30}{87} = (2)^{\frac{-t_{1}}{14}}[/tex]

      .3448275 = [tex](2)^{\frac{-t_{1}}{14}}[/tex]

     Taking logarithm both side  

     [ [tex]log(2^{x}) = xlog2[/tex] ]

      log.3448275 = [tex]{\frac{-t_{1}}{14}}[/tex] log 2

      -.4581  =  [tex]{\frac{-t_{1}}{14}} \times.3010[/tex]

       [tex]{\frac{-t_{1}}{14}}[/tex]  =  -1.52

       [tex]t_{1}[/tex] = 21.28 minutes

To find the time it will take for the coffee to cool to 30 degrees Celsius, we need to solve the equation 30=87(2)−t/14 for the variable 't', which represents time.

The subject of this problem is a mathematical application of heat transfer. To answer this question thoroughly, we need to solve the given equation H=87(2)−t/14 for 't' when H (the temperature of the coffee) is 30 degrees Celsius.

When we set H equal to 30, we can rearrange the equation to solve for 't':

While this equation primarily pertains to heat transfer, it is also fundamentally about solving algebraic expressions, the core focus of high school Mathematics.

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Answer:

300 g. of chocolate.

75 g. of flour

3 people.

Step-by-step explanation:

These are proportion problems.  I'll just give you the first formula.

[tex]\frac{200}{4} =\frac{x}{6} \\\\(200)(6)=4x\\1200=4x\\x=300[/tex]

Can you do the rest? I'll be waiting in the comments.

:)

Answer:

6750

Step-by-step explanation:

There are 1000g in a single kilogram. Therefore, [tex]\frac{6.75kg}{1}\cdot \frac{1000}{1kg}=6750g[/tex]. Hope this helps!

Answer:

6750

Step-by-step explanation:

Answer:

Step-by-step explanation:

2376

Answer:

Step-by-step explanation:

35x + 10 = 190

35x = 190 - 10

35x = 180

x = 180 / 35

Therefore x = 5.14

Answer:

x=5 1/7 or 5.14

Step-by-step explanation:

35x+10=190

35x=190-10

35x=180

x= 180÷35

x=5 1/7 or 5.14

Answer:

Option B. 1024(0.5)^x

Step-by-step explanation:

From the question given, we were told that half (1/2) the players are eliminated at the end of each round.

If T is the total number players, then after round one it becomes:

T x (1/2)^1 = T x 0.5

After round x, the the numbers of player remaining will be:

T x (1/2)^x = T x (0.5)^x

From the question given, the total number of players are 1024. Therefore, the above expression can be written as:

T x (0.5)^x => 1024(0.5)^x

The 36% of the students in the sample prefer cats. Hence, 36% is correct answer.

The step-by-step calculation to determine what percent of students in  sample prefer cats:
1) Find the total number of students who prefer cats:

Add the number of male students who prefer cats (10) to the number of female students who prefer cats (26). 10 + 26 = 36
2) Find the total number of students surveyed:

Add the number of students who prefer dogs (36 + 20), the number of students who prefer cats (36), and the number of students with no preference (2 + 6). 36 + 20 + 36 + 2 + 6 = 100
3) Calculate the percentage of students who prefer cats:

Divide number of students who prefer cats (36) by the total number of students surveyed (100) and multiply by 100%. 36 / 100 * 100% = 36%
4) Round the answer to the nearest percent:

36% rounded to nearest percent is 36%.

Complete and correct question is in the image:

According to the given sample, 36% of students in the sample prefer cats.

To find the percentage of students in the sample who prefer cats, we need to sum up the number of students who prefer cats, which is 26 for females and 10 for males.

Total number of students who prefer cats = 26 (females) + 10 (males) = 36.

Now, let's find the total number of students in the sample:

Total number of students = 36 (males who prefer dogs) + 20 (females who prefer dogs) + 10 (males who prefer cats) + 26 (females who prefer cats) + 2 (males with no preference) + 6 (females with no preference)

= 36 + 20 + 10 + 26 + 2 + 6

= 100.

Now, we can calculate the percentage of students who prefer cats:

Percentage of students who prefer cats = [tex]\frac{Number \ of \ students \ who \ prefer \ cats}{Total \ number \ of \ students}[/tex] × 100

= ([tex]\frac{36}{100}[/tex]) × 100 = 36%.

So, approximately 36% of students in the sample prefer cats.

The question is:

Students were surveyed about their preference between dogs and cats. The following two-way table displays data for the sample of students who responded to the survey.

Preference  Male  Female

Prefers dogs  36  20

Prefers cats  10  26

No preference  2  6

Approximately what per cent of students in the sample prefer cats?

Answer:

i think it is E

Step-by-step explanation:

Answer:

The value of Rebecca's investment equals the value of Hector's investment after approximately 15.8 years to the nearest tenth

The common value of the investments is approximately $2358.05

Step-by-step explanation:

The formula of the compound interest including the principal is

[tex]A=P(1+\frac{r}{n})^{nt}[/tex] , where

Hector invests $800 in an account that earns 6.96% annual interest compounded semiannually

∵ P = 800

∵ r = 6.96 = [tex]\frac{6.96}{100}[/tex] = 0.0696

∵ n = 2 ⇒ semiannually

- Substitute all these values in the formula to find future value

∴ [tex]A=800(1+\frac{0.0696}{2})^{2t}[/tex]

∴ [tex]A=800(1.0348)^{2t}[/tex]

Rebecca invests $1,000 in an account that earns 5.44% annual interest compounded monthly  

∵ P = 1,000

∵ r = 5.44 = [tex]\frac{5.44}{100}[/tex] = 0.0544

∵ n = 12 ⇒ monthly

- Substitute all these values in the formula to find future value

∴ [tex]A=1000(1+\frac{0.0544}{12})^{12t}[/tex]

∴ [tex]A=1000(1.004533333)^{12t}[/tex]

∵ Rebecca's investment equals the value of Hector's investment

- Equate the two equations

∵  [tex]1000(1.004533333)^{12t}[/tex] = [tex]800(1.0348)^{2t}[/tex]

- Insert ㏑ in both sides and remember ㏑(ab) = ㏑(a) + ㏑(b)

∴ ㏑( [tex]1000(1.004533333)^{12t}[/tex] ) = ㏑( [tex]800(1.0348)^{2t}[/tex] )

∴ ㏑(1000) + ㏑( [tex](1.004533333)^{12t}[/tex] ) = ㏑(800) + ㏑( [tex](1.0348)^{2t}[/tex] )

- Remember [tex]ln(a)^{n}[/tex] = n ㏑(a)

∴ ㏑(1000) + 12t [㏑(1.004533333)] = ㏑(800) + 2t [㏑(1.0348)]

- Subtract ㏑(800) and 12t [㏑(1.004533333)] from both sides

∴ ㏑(1000) - ㏑(800) = 2t [㏑(1.0348)] - 12t [㏑(1.004533333)]

- Take t as a common factor from the right hand side

∴ ㏑(1000) - ㏑(800) = t(2[㏑(1.0348)] - 12[㏑(1.004533333)])

- Divide both sides by (2[㏑(1.0348)] - 12[㏑(1.004533333)])

∴ 15.8 = t

The value of Rebecca's investment equals the value of Hector's investment after approximately 15.8 years to the nearest tenth

Let us find this value using Hector or Rebecca equations

∵  [tex]A=800(1.0348)^{2t}[/tex]

- Substitute t by 15.8

∴  [tex]A=800(1.0348)^{2(15.8)}[/tex]

∴ A = 2358.05

The common value of the investments is approximately $2358.05

Answer:

3/6

Step-by-step explanation:

there are 3 white slice, two grey slice and 1 black slice. in total there are six slices. so the answer is 3/6.

hope it helps

Answer:

T = sin(6572t)

Step-by-step explanation:

A pure tone is a sine-wave and sine-waves are defined by ω (omega) and t (time)

For a sine model:

Amplitude of wave form = sin(ωt)

A sine model that gives the Tone, T, as a function of time, t, for this key:

T = sin(ωt)

Sin is a mathematical operator in trigonometry

ω = 2πf

π = 3.14

The frequency of the 64th key on a standard 88-key piano is 1046.5 hertz.

f = 1046.5 hertz

ω = 2×3.14×1046.5

ω = 6572.02

T = sin(6572t)

The sine model for the 64th key on a standard 88-key piano with a frequency of 1046.5 Hz is represented as T(t) = A sin(2π(1046.5)t + φ), where A is the amplitude, φ is the phase shift, and t is the time.

The student has asked for a sine model that represents the Tone, T, as a function of time, t, for the 64th key on a standard 88-key piano, which has a frequency of 1046.5 hertz. A sine function that models the tone can be written as:

T(t) = A sin(2πft + φ)

For this example, since frequency (f) is given as 1046.5 Hz and we don't have information about amplitude (A) and phase shift (φ), we can write the model as:

T(t) = A sin(2π(1046.5)t + φ)

This model can be used by piano tuners to ensure that the piano is properly tuned by comparing the accurate frequency with the sound coming from the piano and making adjustments as needed.

Answer:

The answer is A.

Answer:    The Answer is A

Step-by-step explanation:

Answer:

The solution is given by s=9 because it makes the value of 3s+12 equal to 21.

Step-by-step explanation:

If you replace s with 9 you will get 21

Answer:

b. The solution is given by s = 3 because it makes the value of 3 s + 12 equal to 21.

Explanation:

I took the test and got it right.

Step 1: Substitute s for 3. You get 3(3) + 12 = 21.

Step 2: 3(3) + 12 = 21 is converted to 9 + 12 = 21.

Step 3: 9 + 12 equals 21.

Answer:

Table A

Step-by-step explanation:

It's only Table A because if you look at Table B at the top it says

Topping 1 and Topping 2

You're only supposed to have Crust and Topping, not 2 toppings

Answer:

Table A

Step-by-step explanation:

Khan

a = (1+0.2)p

This equation is used to calculate the quantity of lemonade.

Step-by-step explanation:

Let the quality of lemonade in lans glass be 'a'

Quantity of lemonade in patricias glass = p ounces

Lan pours 20% more than Patricia

a = (1+0.2)p

This equation is used to calculate the quantity of lemonade

Answer:

Patricia poured P ounces of lemonade in her glass. Ian poured 20% more than P ounces in his glass; that is, he poured 0.20p or .2p ounces more than Patricia.

ANSWER: 0.20p

Step-by-step explanation:

Answer: shameeka sold 20 hamsters to the store.

Step-by-step explanation:

Let x represent the number of hamsters that shameeka sold to the store.

Let y represent the number of hamsters that the pet store had initially.

Shameeka sold her hamsters to a pet store. This doubled the number of hamsters in the store. It means that

x + y = 2y

x = 2y - y

x = y

Then the store got six more hamsters. If the pet store has 46 hamsters now, it means that

2y + 6 = 46

2y = 46 - 6

2y = 40

y = 40/2

y = 20

Since x = y, then

x = 20

In the equation, 29x + 92 = 29x - 11, subtracting 29x from both sides cancels out the variable and leaves 92 = -11, which is a contradiction. Therefore, the equation has no solution.

In the given equation, 29x + 92 = 29x - 11, you can see that the variable x is on both sides. The first step in solving this equation is by canceling out same terms on both sides.

When you subtract 29x from both sides, the equation will become 92 = -11 since the 29x cancels out on both sides. This equation doesn't make sense because 92 is not equal to -11. Therefore, the equation has no solution. This situation is known as a contradiction, because the variable cancels out and leaves us with a false statement.

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Answer:

48 in each bus

Step-by-step explanation:

divide 192 by 4

Answer: 48

Step-by-step explanation:

If there are 4 buses and 192 students you divide 192 by 4 and get 48

Answer:

The horizontal shift from point A to point A’ is -2. The vertical shift from point A to  point A’ is 5. Since in a translation all points shift the same distance, the coordinates of  point B’ are (5, 7 ).

Step-by-step explanation:

A moved two units to the left.

1 - 3 = -2

A also moved 5 units up.

12 - 7 = 5

The translation rule is: [tex](x,y) -> (x - 2, y + 5)[/tex]

Apply the translation rule to point B.

[tex](7 -2, 2+5) = (5,7)[/tex]

B' should be (5,7).

Answers and Step-by-step explanations:

1. The horizontal shift from point A to point A' will simply be the difference in the x-coordinates. The x-coordinate of A is 3 and the x-coordinate of A' is 1. So, we take 1 - 3 = -2. The horizontal shift is 2 units to the left.

2. The vertical shift is the difference in the y-coordinates. The y-coordinate of A is 7 and the y-coordinate of A' is 12. So, we take 12 - 7 = 5. The vertical shift is 5 units up.

3. Basically, we want to move the coordinates of B 2 units to the left and 5 units up. B is currently (7, 2). When we move 2 units to the left, we subtract 2 from the x-coordinate 7, and when we move 5 units up, we add 5 to the y-coordinate 2: B' = (7 - 2, 2 + 5) = (5, 7)

Hope this helps!

Answer:

The answer is left

Step-by-step explanation:

Answer:

Left

Step-by-step explanation:

Took it on edg

Answer:

[tex]\frac{2}{3}[/tex] or [tex].666666666[/tex] or [tex]\%66.66[/tex]

Step-by-step explanation:

Answer:

Each person would get 2/3

Step-by-step explanation:

Split the two circles and each person gets one portion of it.