Crystal pushes a 20 kg box with a force of 40N. What is the box’s acceleration?

Answer:

(x) ∠CAB

Step-by-step explanation:

In ΔCOD and ΔBOA

\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)

Also,

∠COD = ∠BOA (vertically opposite angles)

⇒ ΔCOD and ΔBOA are similar

⇒ ∠CDO = ∠BAO

⇒ ∠CDB = ∠BAC

⇒ ∠CDB = ∠CAB

The equation for renting a bike for h number of hours is shown as;

If however Hope does not want to spend more than 30 dollars, that is her C in the equation must be 30 or less, then the equation would change to the following;

The additional information needed is side IJ is congruent to side LM.

Option C is the correct answer.

There are ways to prove that two triangles are congruent.

- Side-Side-Side (SSS) Congruence.

The three sides of one triangle are equal to the corresponding three sides of another triangle.

- Side-Angle-Side (SAS) Congruence.

The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

- Angle-Side-Angle (ASA) Congruence.

The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.

- Angle-Angle-Side (AAS) Congruence.

We have,

Angle I = 20° _____(1)

Side HI = 5 _____(2)

Angle L = 20° _____(3)

Side KL = 5 ______(4)

Now,

To prove that,

ΔHIJ ≅ ΔKLM by SAS (side-angle-side).

We need,

- Side HI is congruent to side KL.

- Angle I is congruent to angle L.

- Side IJ is congruent to side LM.

Now,

From (1) and (3)

- Angle I is congruent to angle L.

From (2) and (4)

- Side HI is congruent to side KL.

So,

We need Side IJ is congruent to side LM.

Thus,

The additional information needed is side IJ is congruent to side LM.

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Answer:

5

Step-by-step explanation:

Answer:

Last answer

Step-by-step explanation:

Traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.

Earth to Mars is compared to traveling from Earth to the moon, we need to calculate the difference between the distances.

The distance from Earth to the moon is approximately 3.74 x 10^5 km.

The distance from Earth to Mars is approximately 9.25 x 10^7 km.

To find the difference, we subtract the distance to the moon from the distance to Mars:

9.25 x 10^7 km - 3.74 x 10^5 km

To subtract these numbers, we need to make sure the exponents are the same. We can rewrite the distance to the moon in scientific notation with the same exponent as the distance to Mars:

3.74 x 10^5 km = 0.374 x 10^6 km (since 0.374 = 3.74 x 10^5 / 10^6)

Now we can perform the subtraction:

9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 km - 0.374 x 10^6 km

To subtract, we subtract the coefficients and keep the same exponent:

9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 - 0.374 x 10^6 km

Simplifying the subtraction:

9.25 x 10^7 - 0.374 x 10^6 km = 9.249626 x 10^7 km

Therefore, traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.

Scientific notation is a convenient way to express very large or very small numbers. It consists of a coefficient (a number between 1 and 10) multiplied by a power of 10 (exponent). It allows us to write and manipulate such numbers in a compact and standardized form.

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Answer:

|x-11|=6

hope this helps

Step-by-step explanation:

i dont know

\( = 3 \sqrt[5]{3} \)

Answer:

We have parallelogram ABCD, with BC as the diagonal, so alternate interior angles are congruent.

100° + 30° + x = 180°, so x = 50°

Answer:

Knowing that 6 × 7 = 42, we know that 42 ÷ 7 = 6

Step-by-step explanation:

Sorry but its very simple question you need to try to do it by yourself

Answer:

6

Step-by-step explanation:

By understanding the relationship between multiplication and division we can positively say that since 6 × 7 = 42, we know that 42 ÷ 7 = 6.

Answer:

Step-by-step explanation:3.68 = 368%

Answer:

9/2 and -7/2

we add both answer is 1

so in number line 1 is points

when right so mark me brainlists

Answer

Okay so I got this answer wrong on my own quiz so I will screenshot you the answer <3

So sorry if this is wrong!! :((

Answer: x = 4, y = 5

Step-by-step explanation:

To solve by elimination, we must first eliminate one of the variables of the equations. We'll get rid of y, and to do this, you have to multiply 2x - y = 3 by -6.

-6(2x - 7 = 3)

-12x + 6 = -18

Now add -12x + 6 = -18 to with 9x - 6y = 6 to get rid of y.

-3x = -12 Solve for x

x = 4

Now plug x back into the original equation to solve for y.

2(4) - y = 3

8 - y = 3

-y = -5

y = 5

Your final solution is (4, 5)

The expression 48s represents the number of scarves (s) and its per unit  (48).

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given that, Emiko makes shibori scarves and sells them for $48 each on a website for handmade goods.

Here, the expression 48s represents the total price of buying s scarves

We need to tell what 48s mean,

So,

48s here is the total cost for buying s scarves,

That mean, if we buy s scarves we will have to pay $48s

Similarly, if we will buy 4 scarves, we will pay = 48 × 4 = $192

For 10 scarves, we will pay = 48 × 10 = $480

Therefore, we can say $48 is the unit price of the scarf.

Hence, the expression 48s represents the number of scarves (s) and its per unit  (48).

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The question was incomplete, so I answered for the question :-

Emiko makes shibori scarves and sells them for 48 each on a website for handmade goods the expression 48s represents the total price of buying scarves what do the parts of the expression 48s represents.

Answer:

Step-by-step explanation:

number of scarves

Price of scarves

a. False. The proportion cannot be determined from the confidence interval.

b.  False. The population parameter's likely range is indicated by the confidence interval.

c. True. Around 98% of the confidence intervals for each sample that we took from repeated random sampling of top-loading and front-loading washers would contain the actual difference.

d. True. The probability that an interval contains the actual population parameter is represented by the confidence level of the interval. So the level of confidence is 98% in this instance.

e.  False. The 98% confidence interval does not offer a probability or confidence level about a certain sample mean.

a) False. The percentage or proportion of top loaders that are faster than front loaders cannot be determined from the confidence interval. It merely offers a range of reasonable values for the mean cycle time difference.

b) False. The confidence interval does not indicate the likelihood that a specific event will occur once, but rather the likely range of the population parameter.

c) True. The confidence intervals for each sample would contain the real difference in mean cycle time in around 98% of the repeated random samples of top-loading and front-loading washers.

d) True. A confidence interval's confidence level indicates the likelihood that the interval contains the actual population parameter. Since there is a 98% degree of confidence in this situation, we would anticipate that 98% of the generated confidence intervals will contain the actual difference in mean cycle time.

e) False. The 98% confidence interval does not offer a probability or confidence level about a certain sample mean. Instead, it offers a range of logical estimates for the mean cycle time difference.

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The percentage increase China's population from 1970 to 1995 is: 56.25%.

Percentage increase = (Final Value - Original Value)/Original value × 100.

Given the following:

Original value = 0.8 billion

Final Value = 1.25 billion

Final Value - Original Value = 1.25 - 0.8

Final Value - Original Value = 0.45

Percentage increase = 0.45/0.8 × 100 = 56.25%.

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Answer: 17

Step-by-step explanation:

x(x+7)=408

x(x+24)-17(x+24)=0

(x+24)(x-17)=0

x+24=0

x-17=0

x=-24

x=17

Answer:

Francisco/Franceska made 110 dollars.

Step-by-step explanation:

$8/hr- less than 5yrs

$6/hr- more than 5yrs

10hrs- 2yr old=$80

5hrs- 8yr old= $30

30+80= $110 this week

Answer:

$110

Step-by-step explanation:

Ages 5 and younger- $8

Ages over 5- $6

2 year old-10 hrs= 10x$8=$80

8 year old-5 hrs= 5x$6=$30

$80+$30=$110

The 90% confidence interval for the true population mean backpack weight is given as follows:

(55.79, 60.21).

The bounds of the confidence interval are given as follows:

\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)

In which:

The confidence level is of 90%, hence the critical value z is the value of Z that has a p-value of 0.95, so the critical value is z = 1.645.

The parameters are given as follows:

\(\overline{x} = 58, \sigma = 9.5, n = 50\)

Then the lower bound of the interval is given as follows:

58 - 1.645 x 9.5/sqrt(50) = 55.79.

The upper bound of the interval is given as follows:

58 + 1.645 x 9.5/sqrt(50) = 60.21.

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Answer:

y = 10x

Step-by-step explanation:

Independent variable (x) = time (minutes)

Dependent variable (y) = distance (feet)

The line passes through the point of origin (0, 0), which means it represents a proportional relationship. Therefore, the equation would be in the form of y = mx. Where,

m = slope = y/x

Using any point on the line, say (5, 50),

m = 50/5

m = 10

To write the equation, substitute m = 10 into y = mx

Thus:

y = 10x

The answer is 0.471 radians.

FORMULA:

Just do 27° × π/180 = 0.4712rad but then cut off the two.

Answer:

2 and 2/5

Step-by-step explanation:

Trust me on this, also can I have brainlest please? Hope you do well!

2 and two fifths i took the test 6 years ago

The probability of P(X = 48) and P(Y =2) is 0.1056 and 0.2642 respectively.

Suppose 10 percent of households earn over 80,000 dollars a year,and 0.25 percent of households earn over 450,000.

a random sample of 400 house-holds has been chosen

N = 400

P = 25%

n*p = 400*0.25 = 100

n(1-p) = 400 * 0.75 = 300

100 and 300 are greater than 5 so we use the normal distribution here to estimate further.

mean = n*p = 100

sd = √(np(1 - p))

sd = √(100(1 - 0.25))

sd = √(100 x 0.75)

sd = √75

sd = 8.66

p(X≥48)

= p(X≥47.5)

P(z <  (47.5 - 40)/6)

P(z < 1.25)

= 0.8944

1 - 0.8944

= 0.1056

FOR Y

N = 400 p = 0.25% = 0.0025

400 * 0.0025 = 1

1 is less than 5 so we use poisson distribution.

using the excel function,

1 - BINOMDIST(1, 400, 0.0025, TRUE)

= 1 - 0.735759074

= 0.2642

Therefore, the probability of P(X = 48) is  0.1056 and P(Y =2) is 0.2642

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Answer:

A. 6 B. 8 min C. yes

Step-by-step explanation:

A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.

The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.

Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.

Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.

A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

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Answer:

\(x = y = z = 20\)

Step-by-step explanation:

Given

\(Volume = 8000cm^3\)

Required

Determine the dimensions that minimizes the surface area.

Surface area of a box is;

\(S = 2(xy + xz + yz)\)

Volume of a box is:

\(V = xyz\)

Make z the subject

\(z = \frac{V}{xy}\)

Substitute 8000 for V

\(z = \frac{8000}{xy}\)

Substitute 1000/xy for z in \(S = 2(xy + xz + yz)\)

\(S = 2(xy + x\frac{8000}{xy}+y\frac{8000}{xy})\)

\(S = 2(xy + \frac{8000}{y}+\frac{8000}{x})\)

Expand:

\(S = 2xy + \frac{16000}{y}+\frac{16000}{x}\)

\(S = 2xy + 16000(\frac{1}{y}+\frac{1}{x})\)

Differentiate S w.r.t x

\(\frac{dS}{dx} = 2y - \frac{16000}{x^2}\)

Differentiate S w.r.t y

\(\frac{dS}{dy} = 2x - \frac{16000}{y^2}\)

Equate both differentiation to 0

\(2x - \frac{16000}{y^2} = 0\)

Multiply through by \(y^2\)

\(2xy^2 - 16000 = 0\)

\(2xy^2 = 16000\)

Divide through by 2

\(xy^2 = 8000\) -- (1)

\(2y - \frac{16000}{x^2} = 0\)

Multiply through by x^2

\(2x^2y - 16000 = 0\)

\(2x^2y = 16000\)

Divide through by 2

\(x^2y = 8000\) --- (2)

Divide (1) by (2)

\(\frac{x^2y = 8000}{xy^2 = 8000}\)

\(\frac{x}{y} = 1\)

\(x = y\)

Substitute y for x in (1)

\(x^2y = 8000\)

\(x^2 * x = 8000\)

\(x^3 = 8000\)

Take cube roots

\(x =20\)

Hence;

\(x = y = 20\)

Recall that:

\(z = \frac{8000}{xy}\)

\(z = \frac{8000}{20 * 20}\)

\(z = 20\)

Hence, the dimension of the box that minimizes the surface area of the box is:

\(x = y = z = 20\)