to what decimal place should each answer be rounded? how many significant figures does the rounded answer have?

Answer:

Step-by-step explanation:

no

Answer:

228 hydrogen atoms

Step-by-step explanation:

If there are 114 water molecules,

Total number of atoms would be:

3 * 114 = 342 (1 oxygen and 2 hydrogen atoms in 1 water molecule)

Out of these, 2/3rd would be hydrogen atoms, so:

There would be 228 hydrogen atoms

Brainliest? :D have great day

The number of revolutions made by larger pulley is,  1032

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Given that,

A pulley has a diameter of 8 inches,

And it is belted to a pulley that has a diameter of 12 inches,

the speeds of the pulleys vary inversely to their diameters,

The smaller pulley running at speed of 1,548 revolutions per minute,

The larger pulley running at speed = ?

V α 1/d

Now, it can be written as,

V₁ α  1/d₁

V₂ α 1/d₂

1548 α  1/8

V₂ α 1/12

For removing proportionality sign,

It required to add one constant k,

1548 =  k(1/8)    _____(i)

V₂  = k (1/12)     _____(ii)

Now, by dividing both the equations,

V₂/1548   = k x (1/12)/ k x(1/8)  

V₂/1548 = 8/12

V₂ = 8/12 x 1548

V₂ = 1032

Hence, the RPM of larger pulley is  1032

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Answer:

he coordinate of the fourth vertex will be (2,5).

Step-by-step explanation:

Given,The coordinates of the vertices of the rectangle is (-6,3), (-6,5), (2,3).

We have to find the coordinate of the fourth vertex.How to get the fourth vertex of rectangle?

On plotting the given coordinates on the graph paper, we find that the coordinates (−6, 3) and (−6, 5) lying on the second quadrantand the coordinate (2,3) lying on the first quadrant,so other coordinate will also be lying on the first quadrant.

See the attached graph.

So from the graph the coordinate of fourth vertex will be (2,5).

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(I got this from a Radom person who hade the same question sorry)

Answer:

No.

Step-by-step explanation:

No, the equality ||u + v|| = ||u|| + ||v|| does not hold for all vectors u and v in 3D. This equality is known as the Triangle Inequality, and it states that the length of the sum of two vectors is always less than or equal to the sum of their individual lengths. Hence, ||u + v|| <= ||u|| + ||v||.

Answer:

x = 2.29cm

Step-by-step explanation:

From the picture below we are given a right angle triangle and asked to find the value of x. We can use the SOHCAHTOA principle to find the side x.

Base on the angle given the adjacent side of the triangle is x while the hypotenuse is given as  4 cm. Let's find the value of x .

cos 55° = adjacent/hypotenuse

cos 55° = x/4

cross multiply

x = 4 cos 55°

x = 4 × 0.57357643635

x = 2.2943057454

x ≈ 2.29 cm

Answer:

the length of the median of the triangle is 6√(5) cm.

Step-by-step explanation:We can start by using the Pythagorean theorem to find the length of the base of the triangle. Since the altitude of the triangle is 12 cm, the length of the median that divides the triangle into two smaller triangles with perimeter 20 cm can be found using the Pythagorean theorem as follows:

Let's call the length of the base "b". Then, the length of the median "m" is equal to the square root of the sum of the squares of half the base and the height:

m = √((b/2)^2 + 12^2)

We know the perimeter of the triangle is 24 cm, so:

b + 2m = 24

We can substitute b = 24 - 2m into the equation for m:

m = √(((24 - 2m)/2)^2 + 12^2)

Expanding and simplifying the equation gives:

m = √(6^2 + 12^2) = √(36 + 144) = √(180) = 6√(5) cm

So the length of the median of the triangle is 6√(5) cm.

The circumference of teh circle is 31.4 meter

From the question, we have the following parameters that can be used in our computation:

A circle has a diameter of 10m

This means that

d =10

The circumference is calculated as

C = pi d

Where

pi = 3.14

Substitute the known values in the above equation, so, we have the following representation

C = 3.14 * 10

Evaluate

C - 31.4

Hence, the circimference is 31.4 units

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Answer:

The individual's body fat percentage of 18.8% indicates that 28.7 pounds of her weight is made up of fat.

Step-by-step explanation:

The information I provided is based on the formula for calculating body fat percentage, which is body fat weight divided by total body weight multiplied by 100.

Answer:

Step-by-step explanation:

x weight         131

----           = -------------

18.8%             100%

Cross multiply and get 24.6 pounds

Answer: the original price was around $84.07

I don’t know the exact answer but here’s how I did it, I also checked and it’s around the same savings so somewhere around 84.07 makes sense

Answer:

Below

Step-by-step explanation:

Out of 20 times 3 were spades      soooo   3/20 = .15

Tn= ¼+(n-1) ¼

Tn= ¼+ ¼n-¼

Tn=¼n

Above is an example of arithmetic sequence.

In short, an arithmetic sequence is a sequence of numbers that has a fixed pattern. The pattern in question can be formed based on subtraction or addition operations. Thus, each order of syllables will have a difference of the same magnitude.

Later, this difference will be called the difference and is generally symbolized by the letter b. Thus, an example of an arithmetic sequence can be taken as follows:

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To find the value of x for which the function f(x) = -4x^2 + 8x + 10 reaches its global maximum, we need to find its critical points.

First, we find the derivative of the function:

f'(x) = -8x + 8

Next, we set f'(x) = 0 and solve for x:

-8x + 8 = 0

-8x = -8

x = 1

This is the critical point. To determine whether this critical point corresponds to a maximum or a minimum, we look at the second derivative of the function:

f''(x) = -8

Since f''(x) is negative, this critical point corresponds to a maximum.

Therefore, the value of x for which the function f(x) = -4x^2 + 8x + 10 reaches its global maximum is x = 1.

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Answer:

−6+4y−10m

Step-by-step explanation:

Answer:

A is the answer

Step-by-step explanation:

Ratios show that Julie earns 50% more than Simon, and John earns 12.5% less than Julie.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Lets divide each salary by 1,000 to express the salaries in thousands of rands:

Simon earns 4,000 / 1,000 = 4,000

Julie earns 6,000 / 1,000 = 6,000

John earns 3,500 / 1,000 = 3,500

Now, we can compare the salaries by expressing them as ratios:

Simon: Julie = 4,000 : 6,000 = 2 : 3

Julie: John = 6,000 : 3,500 = 6 : 3.5

Simon: John = 4,000 : 3,500 = 4 : 3.5

Hence, ratios show that Julie earns 50% more than Simon, and John earns 12.5% less than Julie.

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The unit rate of the typed words is 78 words per minute

An equation is an expression that shows the relationship between numbers and variables using mathematical expressions. Equations are classified based on degree as linear, quadratic, cubic

Unit rate is the ratio of two different quantities. The denominator for a unit rate is always equal to one.

Gordon types 2,886 words in 37 minutes. The unit rate is the ratio of the total words typed to total time taken. Hence:

Unit rate = 2,886 words / 37 minutes = 78 words per minute

The unit rate is 78 words per minute

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Answer:

 (4.5, 6)

Step-by-step explanation:

The distance covered is proportional to the rate, so the distance from A to C compared to the distance from B to C will have the same proportion as Phillip's and Bruce's rates.

__

setup

 (C -A)/(B -C) = 7/5 . . . . . distance is proportional to rates

solution

 5(C -A) = 7(B -C) . . . . multiply by 5(B -C)

 12C = 7B +5A . . . . . add 7C+5A

 C = (7B +5A)/12 = (7(7, 6) +5(1, 6))/12 = (49+5, 42+30)/12 = (4.5, 6)

Phillip and Bruce will meet at C(4.5, 6).

Answer:

Step-by-step explanation:

The solution of the linear expression is (x, y) = ( -3, -1/2)

option A.

The values of x and y in the given linear expression is calculated by applying the following formula.

y = ¹/₂ˣ  + 1

y = ³/₂ˣ + 4

solve the two equations together to determine the value of x ;

³/₂ˣ + 4 =  ¹/₂ˣ  + 1

³/₂ˣ -   ¹/₂ˣ   = 1 - 4

x = - 3

Now, solve for y as show below;

y = ¹/₂ˣ  +  1

y =   ¹/₂(-3)  + 1

y = -3/2 + 1

y = -1/2

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Answer:

$8

Step-by-step explanation:

36-12= 24 money left for candy

24/3=8 price of each candy

Answer:

Midpoint AB
[tex](3, 3)\\[/tex]

Midpoint BC
[tex]\left(8, \; \dfrac{7}{2}\right)[/tex]

Midpoint AC
[tex]\left(6, \; \dfrac{3}{2}\right)[/tex]

Step-by-step explanation:

The midpoint (x, y) between any two points(x1, y1) and (x2, y2)  can be calculated using

x = (x1 + x2)/2
y = (y1 + y2)/2

Given
A(1, 1)
B(5, 5)
C(11, 2)

Midpoint of AB
[tex]\left(\dfrac{1+5}{2}, \;\dfrac{1+5}{2}\right) = \left(\dfrac{6}{2}, \;\dfrac{6}{2}\right) = (3, 3)[/tex]

Midpoint of BC :
[tex]\left(\dfrac{5+11}{2}, \;\dfrac{5+2}{2}\right) = \left(\dfrac{16}{2}, \;\dfrac{7}{2}\right) = \left(8, \; \dfrac{7}{2}\right)[/tex]

Midpoint of AC:
[tex]\left(\dfrac{1+11}{2}, \;\dfrac{1+2}{2}\right) = \left(\dfrac{12}{2}, \;\dfrac{3}{2}\right) = \left(6, \; \dfrac{3}{2}\right)[/tex]

The intersection of the two graphs in ordered pair is (-5, 1)

An ordered pair is a pair of values that represent a point in a coordinate system.

An ordered pair consists of an x-coordinate and a y-coordinate, and represents a point in the x-y plane.

In an ordered pair, the order of the values is important and represents the specific location of the point in the coordinate system.

The intersection of the two lines representing the equation y = 2/5 x + 3 and y = -x - 4 is as shown on the graph to be (-5, 1)

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To build a garden of 4 feet Deja needs 12 small bricks.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, The first garden is 4 feet long the bricks Deja is using are each 1/3 of a foot long.

Therefore, the number of bricks required is,

= 4/(1/3).

= 4×(3/1).

= 12 bricks.

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Measure of each missing angles are,

⇒ ∠EFC = 51°

⇒ ∠DFG = 51°

⇒ ∠HEF = 36°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.  

We have to given that;

⇒ m ∠CFG = 129°

⇒ m ∠HFD = 93°

Now, By figure EFG make a linear line.

So, We get;

⇒ ∠EFC + ∠CFG = 180°

⇒ ∠EFC + 129° = 180°

⇒ ∠EFC = 180° - 129°

⇒ ∠EFC = 51°

In the figure, Measure of ∠EFC and ∠DFG are vertically opposite angle.

Hence, Both are equal.

⇒ ∠DFG = ∠EFC = 51°

Here, EFG make a linear line.

Hence, We get;

⇒ ∠HEF + ∠HFD + ∠DFG = 180°

Substitute all the values, we get;

⇒ ∠HEF + 93° + 51° = 180°

⇒ ∠HEF + 144° = 180°

⇒ ∠HEF = 180° - 144°

⇒ ∠HEF = 36°

Thus, Measure of each missing angles are,

⇒ ∠EFC = 51°

⇒ ∠DFG = 51°

⇒ ∠HEF = 36°

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Answer: y = x - 3

Step-by-step explanation:

y-intercept = -3

(0,-3) (4, 1)

m = (x₂ - x₁) / (y₂ - y₁)

m = (4 - 0) / (1 - (-3))

m = 4 / 4

m = 1

y = 1x -3

y = x - 3

The option that rewrite the expression 1 / 3 + 2  / 5 using commutative law of addition is D.

The commutative property of addition states that a change in the order of the numbers being added does not affect the sum. In other words, when the order of a sum of values is changed, the commutative property of addition states that the sum of the numbers does not affect the sum of the numbers.

Therefore, let's use the commutative law of addition to rewrite 1 / 3 + 2  / 5.

Hence,

[tex]\frac{1}{3} + \frac{2}{5} = \frac{2}{5}+\frac{1}{3} = \frac{6+5}{15} = \frac{11}{15}[/tex]

Therefore, the answer is D.

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The company should adopt the new tread pattern, as the test statistic is lower than the critical value.

For this problem, we will use a one-tailed hypothesis test to determine if the company should adopt the new tread pattern. The null hypothesis (H0) is that the tires will not allow a car traveling at 60 mph to come to a complete stop within an average of 125 feet after the brakes are applied. The alternative hypothesis (H1) is that the tires will allow a car traveling at 60 mph to come to a complete stop within an average of 125 feet after the brakes are applied.

The test statistic used here will be the mean of the sample set, which is 125.33 feet. We need to find the critical value to determine whether or not the company should adopt the new tread pattern. To do this, we will use a one-sample t-test with a significance level of 0.05.

After taking into account the outlier (102 feet), the critical value is 1.711. Since the test statistic (125.33) is lower than the critical value (1.711), we can reject the null hypothesis and conclude that the company should adopt the new tread pattern. The outlier was accounted for by performing a one-tailed hypothesis test rather than a two-tailed hypothesis test. This allowed us to look at the data in the context of a single direction (whether or not the tires meet the objective), so that the outlier did not affect the results.

The company should adopt the new tread pattern, as the test statistic is lower than the critical value.

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