A bricklayer needs to order 6300 kg of building sand.

a) Write 6300 kg in grams, giving your answer in standard form.

One grain of this sand approximately weighs 7 x 10*g.
b) How many grains of sand are there in 6300 kg of sand?
Give your answer in standard from.

Answer:

It's exactly one

Step-by-step explanation:

You can test:

Op1:

x = -1

==> -1-1 = -2 then -2x2 = -4 (This's right)

Op2:

x = 1

==> 1-1=0 (this's wrong)

So ==> Ans is A) Exactly one

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The given quadratic equation has exactly two solutions. Therefore, option B is the correct answer.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The given quadratic equation is (x-1)²= -4.

Square root on both the sides we get

√(x-1)²=√(-4)

x-1=±2i

x=±2i+1

x=2i+1 and x=-2i+1

Therefore, option B is the correct answer.

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Answer:

Step-by-step explanation:

Let's start by defining the variables for the problem. Let's say that:

w = the width of the rectangular garden (in meters)

l = the length of the rectangular garden (in meters)

We know that the length is 45 meters more than twice the width, so we can write:

l = 2w + 45

We also know that we have 1350 meters of fencing available to enclose the rectangular garden. The perimeter of the rectangular garden is equal to the sum of the lengths of all four sides. Since there are two sides of length w and two sides of length l, we can write:

Perimeter = 2w + 2l

Substituting the expression for l that we derived earlier, we get:

Perimeter = 2w + 2(2w + 45)

Perimeter = 6w + 90

We know that the perimeter of the rectangular garden is equal to 1350 meters, so we can write:

1350 = 6w + 90

Solving for w, we get:

6w = 1260

w = 210

Now that we know the value of w, we can use the expression for l that we derived earlier to find the length:

l = 2w + 45

l = 2(210) + 45

l = 465

Therefore, the dimensions of the rectangular garden should be 210 meters by 465 meters.

The proportion of minor arc ZPSR is equivalent to 48 degrees.

Given a circle Q with focus Q and minor curve PR with a proportion of 48 degrees, the objective is to find the proportion of ZPSR, the focal point that compares to the minor circular segment PR.

Since the focal point and the circular segment length of a circle are corresponding, the proportion of ZPSR can be found by partitioning the proportion of the minor curve PR by 360 degrees and afterward duplicating by the all out number of degrees all around, which is 360.

The recipe for the focal point comparing to a minor circular segment is given by:

mZPSR = (mPR/360) × 360

Subbing the given worth of mPR = 48, we get:

mZPSR = (48/360) × 360

= (1/7.5) × 360

= 48

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Answer:

Step-by-step explanation:

To find the distance traveled, we need to subtract the starting odometer reading from the ending odometer reading.

In this case:

Journey distance = 12714 km - 12138 km = 576 km

So the journey was 576 kilometers.

TRUE .The domain of the function is all real numbers.

FALSE , The range of the function is (0, [infinity]).

FALSE, The y-intercept is (0, 0).

FALSE , The center of symmetry is (0, 8).

True. The function f(x) = 2x^3 + 8 can take any real number as input and produce a real number as output.

False. The range of the function is all real numbers greater than or equal to 8, i.e., [8, [infinity]).

False. The y-intercept of the function is (0, 8), meaning that when x = 0, the output of the function is 8.

False. The function f(x) = 2x^3 + 8 does not have a center of symmetry, as it is an odd degree polynomial.

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Answer:

Step-by-step explanation:

The answer is Graph B.

First the equation needs to be in standard form.

x² + 8x= -20

becomes    y = x² + 8x + 20

The leading coefficient is positive - a positve one is in front of the x.

So the parabola opens upward.

solve for the x coordinate of the minimun by using the formula

x = -b/2a

x = -8/2(1) =  - 8/2 =   -4

substitute -4 into the original equation.

y = (-4)² + 8(-4) + 20

y = 16 + -32 + 20

y = -16 + 20

y = 4

so the minimun - or bottom of the parabola is (-4, 4)

Correct choice is graph B

To find the probability that the student ONLY takes History Class, we need to divide the number of students taking only History (37) by the total number of students (150).

Probability is the measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. Probability can be used to analyze and make predictions about a wide range of situations, including games of chance, weather patterns, financial markets, and more.

Here,

Using the given numbers, we can calculate the probabilities as follows:

To find the probability that the student ONLY takes History Class, we need to divide the number of students taking only History (37) by the total number of students (150):

P(ONLY History) = 37/150 = 0.2467 or approximately 24.67%

To find the probability that the student takes BOTH History and Biology, we need to divide the number of students taking both (25) by the total number of students (150):

P(History AND Biology) = 25/150 = 0.1667 or approximately 16.67%

To find the probability that the student does NOT take History or Biology, we need to add the number of students taking neither History nor Biology (21) to the number of students taking only Biology (17), and then divide by the total number of students:

P(Neither History nor Biology) = (21 + 17)/150 = 0.2533 or approximately 25.33%

The complement of this event (i.e., the probability of taking either History or Biology) is:

P(History or Biology) = 1 - P(Neither History nor Biology) = 1 - 0.2533 = 0.7467 or approximately 74.67%

To find the probability that the student takes Biology class, we need to add the number of students taking both History and Biology (25) to the number of students taking only Biology (17), and then divide by the total number of students:

P(Biology) = (25 + 17)/150 = 0.2133 or approximately 21.33%

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Answer:

x= y+1/10

Step-by-step explanation:

y = 10x-1

y+1 = 10x

y+1/10 = x

y+1/10

Step-by-step explanation:

1. Add 1

2.divide by 10

In the given situation, the required equation will be 40x + 50 = P where P is the total pages read and x is the number of hours read.

A mathematical equation, such as 6 x 4 = 12 x 2, states that two amounts or values are equivalent a meaningful noun.

An equation is used when two or more factors must be considered jointly in order to understand or explain the whole situation.

So, in the question we have:

50 pages of the book already read by Chole.

He reads 40 pages every hour.

He reads for more x hours.

Then, accordingly, the equation will be:

40x + 50 = P

Where x is the number of hours read and P stands for the total pages read.

Therefore, in the given situation, the required equation will be 40x + 50 = P where P is the total pages read and x is the number of hours read.

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Answer:

Ratio of cricket to basketball = 5:3

Venn diagram attached below

Step-by-step explanation:

Ratio =

50 people like cricket

30 people like cricket

50:30

simplified

= 5:3

The probability that the sum of the two dice will be odd is 2/3.

The probability of getting an odd number from the sum of two fair dice can be calculated as follows:

If both dice show an odd number (1 or 3), the sum will be even.

If both dice show an even number (2 or 4), the sum will be even.

If one die shows an odd number and the other an even number, the sum will be odd.

Since each die has a 1/3 chance of showing an odd number and a 2/3 chance of showing an even number, the probability of getting an odd number is 2/3 * 1/3 + 1/3 * 2/3 = 2/3.

Therefore, the probability that the sum of the two dice will be odd is 2/3.

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The exponential function for each set of points is y = 3 * 2ˣ,

What is the exponential function?

An exponential function is a Mathematical function in form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

The exponential function can be described as y = 3 * 2ˣ,

where,

x is the input value

and y is the output value.

This function says that for every increase in x by 1 unit, the value of y will be multiplied by 2, starting from an initial value of 3.

For example, when x = 0, y = 3 * 2⁰ = 3, and when x = 1, y = 3 * 2¹ = 12.

Hence, the exponential function for each set of points is y = 3 * 2ˣ,

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Erik’s average speed in miles per hour is  114. 04 miles per hour

Average speed can simply be defined as the total distance that is traveled by the object in a particular time range.

It is also known as a scalar quantity, that is, it has magnitude but no direction.

From the information given, we have that;

The formula for average speed is expressed as;

Average speed = Distance/ time

Substitute the values, we get;

Average speed = 2623/23

Divide the values, we get;

Average speed = 114. 04 miles per hour

Hence, the value is 114. 04 miles per hour

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There are 2880 calories in three pounds of the ice cream.

There are 750 calories in ten ounces of a certain ice cream.

Total calories=750

Number of ounces given=10

First, we need to convert three pounds to ounces:

⇒1 pound=16 ounces

⇒3 pounds = 3 * 16 ounces = 48 ounces

So, we need to find the number of calories in 48 ounces of the ice cream.

Since there are 750 calories in ten ounces, then there will be

⇒[tex]750*\frac{48}{100}[/tex]750 = 2880 calories in 48 ounces.

Therefore, there are 2880 calories in three pounds of the ice cream.

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Ryan rides his bike for 30 minutes and travels a distance of 4 miles. He was traveling 8 miles per hours.

Ryan rides his bike for 30 minutes and travels a distance of 4 miles.

We have to determine how fast he was traveling.

Time = 30 minutes

First we convert the minutes in hours.

As we know that;

1 hour = 60 minutes.

So 1 minute = 1/60 hours

30 minutes = 30/60 hours

30 minutes = 1/2 hours

Distance = 4 miles

The formula of speed is;

Speed = Distance/Time

Speed = 4/(1/2) miles per hours

Speed = 4 × 2 miles per hours

Speed = 8 miles per hours

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Yes, Emma is correct. The expression 2(3w-6) represents two times the difference of three times w and six. w can represent any amount of money, so this expression represents twice the amount of money that Juan spent.

2(3w-6) = 6w - 12

2(3w-6)

2 • (3w - 6)

2 • 3w - 2 • 6

6w - 12

The expression 2(3w-6) can be expanded by first multiplying the two together. This is done by multiplying the coefficient of 2 with each of the terms inside the parentheses. This results in 2 • 3w - 2 • 6. Next, the terms inside the parentheses can be combined. Since they are both being multiplied by 2, we can simply add the two terms together, resulting in 6w - 12. Thus, the expression 2(3w-6) can be expanded to 6w - 12.The expression 2(3w-6) represents two times the difference of three times w and six. w can represent any amount of money, so this expression represents twice the amount of money that Juan spent.

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Option (A)  (y = ±2x + 3) represents a function. In this equation, for every value of x, there is only one corresponding value of y, which satisfies the equation.

A function is a relation between two variables where each input is associated with exactly one output. To determine if an equation represents a function, we can use the vertical line test.

Out of the given options, only equation A (y = ±2x + 3) represents a function. In this equation, for every value of x, there is only one corresponding value of y, which satisfies the equation. When plotted on a coordinate plane, a vertical line will intersect the graph at most once for every value of x.

Equations B[tex](x^2 + y^2 = 16)[/tex], C[tex](y = \pm3x + 8)[/tex], D [tex](y^2 = -5x - 8)[/tex], and E [tex](x = 4y + 7)[/tex] do not represent functions. In these equations, a vertical line will intersect the graph more than once for some values of x, meaning that there are multiple outputs for a single input, which violates the definition of a function.

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Answer:

DK = 18

MJ = 3

ML = 8

Step-by-step explanation:

In this problem, we need to use the Median of a Triangle Formula. This formula states that EM/EL = FM/JF = DM/DK = 2/3. To implement this into our question, we can write ML/EL = 1/3, so we get that ML = 24/3 = 8. We also know that MJ/FM = 1/2, so MJ = 6/2 = 3. Finally, DM/DK = 2/3, so DK = (12*3)/2 = 18. Hope this is correct.

Answer:

Step-by-step explanation:

Perimeter of the rectangle= 42 cm

                               Length= x

                              Breadth= y

                                  2(x+y)= 42

                                     x+y= 42/2= 21 (Let it be the first equation)

Perimeter of the triangle= 36 cm

                         x+y+2y-3= 36 cm (Let it be the second equation)

Substitute equation 1 in 2.

 x+y+2y-3= 36

⇒ 21+2y-3= 36

            2y= 36-21+3

            2y= 18

              y= 18/2

              y= 9

x+y= 21

x+9= 21

   x= 21-9

   x= 12

∴ the values of x and y are 12 and 9 respectively.

Answer:

$115

Step-by-step explanation:

If $100 is increased by 15%, it becomes $100 + 0.15 * $100 = $100 + $15 = $115.

Answer: 115

Step-by-step explanation:

100 x 0.15 = 15 so, 100 + 15 = 115

The value the angles Y is 40° if ∠S and ∠Y are complimentary, as stated in the previous sentence.

Complement or "favorable" refers to "offering a compliment." In the context of goods or services offered as a favor, it can also signify "free." The term "complementary" means to emphasize or enhance the positive aspects of that other person or object.

Angles that add up to 90 degrees are said to have complementary angles.

As a consequence, the value of factor y will be determined using the information provided:

x + y = 90°

3y - 70° + y = 90°

Collect like terms

3y + y = 90° + 70°

4y = 160°

y = 160/4

y = 40°

Angle y has a value of 40°.

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The supplied document states that Juan must pay $265.32 in total for the instrument.

Any transaction in which goods or services are exchanged for cash is referred to as a sale. In other words, a transaction is any activity that involves transferring ownership of a good or service to the buyer in exchange for cash.

The instrument costs $329.99 at standard pricing.

$329 * 25% = $82.50

The guitar's discount price is thus $329.99 less $82.50, or $247.49.

7.25% of the purchase price is used to compute sales tax.

Therefore, $247.49 * 7.25% = $17.83

As a result, we eventually tack on the taxation to the purchase price to determine Juan's final obligation to pay for the guitar.

$247.49 + $17.83 = $265.32

The total price that Juan shall pay for something like the guitar is thus $265.32.

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The surface area to be covered by the label is 904.32 mm²

Assuming the shape of the battery is cylindrical.

The dimensions of the cylindrical battery:

radius r = 4 millimeters

height h = 32 millimeters

We know that the formula for the surface area of cylinder is:

A =  2πrh + 2πr²

where r is the radius of the cylinder and h is the height of the cylinder

Using this formula of surface area of cylider, the surface area to be covered by the label would be,

A =  2πr(h + r)

A = 2π × 4 × (32 + 4)

A = 2 × 3.14 × 4 × 36

A = 904.32 mm²

Thus, the required area = 904.32 sq. mm.

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The weight of Fred's dog at the veterinarian appointment in March is 36 pounds.

Fred's dog weight in September= 45 pounds

Percentage increase= 25%

Fred's dog weight in March = x

45 = x + (25% of x)

45 = x + 0.25x

45 = 1.25x

divide both sides by 1.25

x = 45/1.25

x = 36 pounds

Hence, Fred's dog weighs 36 pounds in March.

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Answer: y=x/3 + 5/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the equation of the line that passes through the points (-2, 1) and (4, 3), we can use the point-slope form of a line.

Point-slope form of a line: y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

Step 1: Find the slope:

We can use the two points to find the slope:

m = (y2 - y1) / (x2 - x1) = (3 - 1) / (4 - (-2)) = 2

Step 2: Use the point-slope form:

y - 1 = 2(x - (-2))

y - 1 = 2x + 4

y = 2x + 5

The equation of the line that passes through the points (-2, 1) and (4, 3) is y = 2x + 5. This is the standard form of the line.

a) 100%
b) 19/50 or 38%

Answer:

x=9, y=1

Step-by-step explanation:

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Maxwell's father comes to live with him in his house, and his number of dependents has now increased.

Maxwell can count his father as his dependent if his father is not able to earn his own livelihood. Maxwell should submit a new W4 form clearly mentioning his father as his dependent.

A W4 form is used to inform employers about withholding correct federal income tax on the employee pay.

This is based on the allowances deducted for the dependents and then the income left is subject to tax.

Maxwell can claim an allowance for his father. The correct option is to Submit a new W4 form.

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Answer:

BD = 2.4

Step-by-step explanation:

the answer can be easily found by using pythagoreans theorem.

BD = height (h)

3 = SqrRt ( 1.8² + h² )

3² = 1.8² + h²

9 - 1.8² = h²

5.76 = h²

h = 2.4

A protractor is a tool used for measuring and drawing angles. It is typically a semi-circular piece of plastic or metal with a degree scale marked along its curved edge.

The scale typically ranges from 0 to 180 degrees, which covers half a circle. To measure or draw an angle of 45 degrees, you would line up the protractor's baseline with one arm of the angle and use the degree scale to find 45 degrees. If you are drawing the angle, you would then use a straightedge to extend the other arm of the angle from the point where it intersects the 45-degree mark on the protractor.

It's important to note that the 45-degree angle represents 45/360 of a full circle, which is equal to one-eighth of a full rotation. This means that if you were to rotate the angle around its vertex, it would make one-eighth of a full circle before aligning with its original position.

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