A 28 g serving of almonds has 160 calories. How many calories are in a 45 g serving of almonds?​

Answer:

x= −1088

Step-by-step explanation:

Answer:

-1088

Step-by-step explanation:

-17      =    x/64

*64           *64

-1088 = x

Answer: its 5y >32

Step-by-step explanation:

The cubic root of z = -27 is -3

A real cube and tree roots may be the first images that come to mind when we hear the terms "cube" and "root." Is it not? Well, the concept is the same. Root refers to the main source or starting point. So, all we need to do is consider "which number's cube should be taken to get the given number." The cube root definition in mathematics is expressed as The cube root is the quantity that must be three times multiplied to yield the initial quantity. Let's look at the cube root equation: ∛x = y, where y is the cube root of x. Every number with a little 3 inscribed on it can be represented by the radical sign as the cube root symbol.

In this problem, the cubic root of z = -27 can be calculated as;

z = -∛-27

z = -3

This is because 27 is a perfect cube

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Step-by-step explanation:

x - y = 16 ---eq(1)

x - y = 16 ---eq(2)

From eq(1)

x - y = 16

x = 16 + y ---eq(3)

Substituting the value of eq(3) into eq(2)

(16 + y) - y = 16

16 = 16

We can't get a proper value for this pair of linear Equations

But, Since both the equations are the same, the lines formed by them will be coincident and therefore they will have infinitely many solutions

We can write the given limits as -

An algebraic expression is a combination of terms both constants and variables. For example -

2x + 3y + z

3x + y

Given is the graph of the function f(x) as shown in the image.

We can write the limits as -

{ 1 } -

[tex]$ \lim_{x \to 2^{-} } f(x)[/tex] = 0

{ 2 } -

[tex]$ \lim_{x \to 2^{+} } f(x)[/tex] = -1

{ 3 } -

[tex]$ \lim_{x \to 2 } f(x)[/tex] = -1

Therefore, we can write the given limits as -

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The sum of 106 and h can be written as an expression in the following way:   106 + h

This expression represents the sum of the two numbers, 106 and h. We can simplify this expression by combining like terms, but since h is a variable and 106 is a constant, we cannot combine them. Therefore, the expression remains as 106 + h.

In conclusion, the sum of 106 and h is represented by the expression 106 + h.

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The value of y is given as follows:

y = 4.3 cm.

The value of y is obtained applying the two secant segment theorem, which means that the following equation will hold true:

3(3 + y) = 2(2 + 9).

Applying the distributive property and solving for y, the value of y is obtained as follows:

9 + 3y = 22

3y = 13

y = 13/3

y = 4.3 cm.

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a)The value of acceleration will be 4.8 m/s²

b)The total distance travelled is 505 m.

a) As all the movement happens along a straight line, we need to define an axis only, which we call x-axis, being the positive direction the one followed by the car.

We can choose to place our origin at the location where the motorcycle was stopped at the side of the road (assuming that it is the same point  for the car when it passes him), so our initial position is 0.

We can also choose our time origin to be the same as the instant that the motorcycle starts from rest, so t₀ = 0.

With these assumptions, and assuming also that the acceleration is constant, we can write two equations, one for the car (at constant speed) and the another one for the motorcycle, as follows:

xc = vx*t

xm= 1/2*a*t²

When the motorcycle passes the car, both distances traveled from the origin will be equal each other, i.e., xc = xm :

⇒ vx*t = 1/2*a*t²

We have as givens vx=35 m/s and t = 14.5 sec when both equations are equal each other.

⇒ 35 m/s* 14.5 s = 1/2*a*(14.5)²(s)²

Solving for a:

a = (2* 35 m/s) / 14.5 s = 4.8 m/s²

b) Replacing the value of a in the equation for xm, we have:

xm = 1/2*4.8 m/s²* (14.5)²s² = 505 m.

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Therefore, it will take approximately 4.2 years for the television set to be worth half of its original value.

All of your revenues and expenses are listed in your profit and loss statements. They also show whether operating expenses have been covered by profits earned by your business. In that case, you could claim that your business has made money. The profit and loss statement displays the profitability of a company.

We can start solving this problem by setting up an equation for the value of the TV over time. Let V be the value of the TV in dollars and t be the time in years. Then, we have:

V(t) = 1900 - 225t

We want to find the time it takes for the TV to be worth half of its original value, which means we want to find t when V(t) = 950. So, we can set up the following equation:

950 = 1900 - 225t

Solving for t, we get:

t = (1900 - 950) / 225

t = 4.22 years (rounded to two decimal places)

Therefore, it will take approximately 4.2 years for the television set to be worth half of its original value.

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a) The probability that the first two guesses are wrong and the third is correct is P ( WWC ) = 0.1406

b) The probability that exactly one correct answer when 3 guesses are made 3 P ( WWC ) = 0.4219

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

The number of possible answers = 4

Let the probability that the answer is correct P ( C ) = 1/4

Let the probability that the answer is wrong P ( W ) = 3/4

Now , probability that the first two guesses are wrong and the third is correct is P ( WWC ) = P ( W ) x P ( W ) x P ( C )

On simplifying , we get

The probability that the first two guesses are wrong and the third is correct is P ( WWC ) = ( 3/4 ) x ( 3/4 ) x ( 1/4 )

The probability that the first two guesses are wrong and the third is correct is P ( WWC ) = ( 9/64 ) = 0.1406

And ,

The probability that exactly one correct answer when 3 guesses are made is = P ( WWC ) + P ( WCW ) + P ( CWW )

The probability that exactly one correct answer when 3 guesses are made 3 P ( WWC ) = 3 x 0.140625

The probability that exactly one correct answer when 3 guesses are made 3 P ( WWC ) = 0.4219

Hence , the probabilities are solved

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The number of boys more than girls altogether in the two programs is 6 boys

The number of boys and girls in the sport-studies program is :

= 30 x 60 %

= 18 girls

Boys in sport-studies program are:

= 30 - 18

= 12 boys

Boys in media tic program :

= 30 x 70 %

= 21 boys

Girls in media tic program:

= 30 - 21

= 9 girls

The difference is :

= ( 12 + 21 ) - ( 18 + 7 )

= 6 boys

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The angle measures are given as follows:

First we must obtain the value of x, considering the total sum of the interior angle measures of the polygon, and then with the value of x we obtain each angel measure.

The sum of the interior angle measures of a polygon with n sides is given by the equation presented as follows:

S(n) = 180 x (n - 2).

The polygon has six vertices, hence the sum is given as follows:

S(6) = 180 x 4

S(6) = 720.

We then add all the angle measures to obtain the value of x as follows:

7x - 8 + 4x + 46 + 5x + 6x + 12 + x + 7 + 5x - 9 = 720

28x = 768

x = 768/28

x = 27.43.

Then each angle measure is rounded as follows:

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We are proving that two triangles are congruent by an ASA (angle-side-angle).

In the process of proof we already have two congruent angle pairs and the missing bit is the included side.

In order to complete the proof we need to show that AE and CF are congruent segments.

We can show this as:

     Statement              Reason                                                                

Answer:

Point Q

Step-by-step explanation:

Point Q corresponds to Point V, because if you turn the green triangle around, it matches almost exactly the same.

The width of the arch at floor level is 10 feet.

In mathematics, a function is a relationship between two sets of objects, where each object in the first set (called the domain) is paired with exactly one object in the second set (called the range). In other words, a function is a rule that assigns a unique output value to each input value.

Functions can be described in several ways, including algebraic expressions, tables of values, graphs, and verbal descriptions. They can be used to model real-world phenomena, solve equations, and make predictions based on data.

The input values of a function are typically denoted by the variable x, while the output values are denoted by the variable y. The notation f(x) is often used to represent a function, where f is the name of the function and x is the input value.

Functions can be classified into different types based on their properties, such as linear, quadratic, exponential, trigonometric, and logarithmic functions. They can also be combined and manipulated using operations such as addition, subtraction, multiplication, division, composition, and inversion.

One of the key concepts in calculus is the derivative, which is the rate at which the output of a function changes with respect to its input. The derivative is used to calculate slopes, rates of change, and optimization problems in a wide range of applications.

Overall, functions are a fundamental concept in mathematics and have many important applications in science, engineering, economics, and other fields.

To find the width of the arch at floor level, we need to find the x-intercepts of the function y = -1/3(x-5)(x+5). At the x-intercepts, y is equal to zero, so we can set the equation equal to zero and solve for x:

0 = -1/3(x-5)(x+5)

There are two solutions to this equation: x = -5 and x = 5. These are the x-coordinates of the points where the arch intersects the x-axis.

The distance between these two points is the width of the arch at floor level. We can calculate this distance by subtracting the smaller x-value from the larger x-value:

Width = 5 - (-5) = 10 feet

Therefore, the width of the arch at floor level is 10 feet.

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Using the unitary method, we found that the cost of packing the unit weight of the chocolate box is  [tex]\frac{x^2}{4(x+2)}[/tex] , for x ≥ 3.

What is meant by the unitary method?

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, and then multiplying that value to determine the required value. Recognizing the units and values is crucial when using the unitary technique to a problem.

Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

Given,

  The cost of packing a box of chocolates = 1/4 * x²

 where x  = Number of chocolates and x ≥ 3 for one box.

Weight of a box of chocolates = x + 2

We are asked to find the cost of packing 1 unit weight of chocolates.

This can be found using the unitary method.

Cost of unit weight = Cost of packing a whole box / Total weight of the box.

                                = (1/4 * x²) / (x + 2)

                                 = [tex]\frac{x^2}{4(x+2)}[/tex] , for x ≥ 3

Now in the figure below, we are given four options.

On solving the first option we get the above equation as follows.

[tex]\frac{1}{4} x - \frac{1}{2} + \frac{1}{x+2}[/tex]  

Taking LCM and making the same denominator for all.

[tex]\frac{x(x+2) - 2(x+2) +4 }{4(x+2)} = \frac{x^2+2x-2x-4+4}{4(x+2)} = \frac{x^2}{4(x+2)}[/tex]

Therefore using the unitary method, we found that the cost of packing the unit weight of the chocolate box is  [tex]\frac{x^2}{4(x+2)}[/tex] , for x ≥ 3.

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The net of a cylinder is a 2-dimensional representation of a 3-dimensional cylinder that has been "unwrapped" and laid flat. The net consists of two circles (representing the top and bottom of the cylinder) and a rectangle (representing the side of the cylinder).

The length of the base of the rectangle in the net of a cylinder represents the circumference of the cylinder, which is the distance around the circular base of the cylinder. The circumference of a circle is calculated using the formula C = 2πr, where C is the circumference, π is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

In the net of a cylinder, the base of the rectangle is the same as the circumference of the circles because it is equal to the distance around the circular base of the cylinder. The width of the rectangle represents the height of the cylinder, which is the same as the distance between the top and bottom circles.

Answer:

Therefore, the length of the base of a rectangle in the net of a cylinder is the same as the circumference of the circles because it represents the distance around the circular base of the cylinder.

Step-by-step explanation:

8/8 in decimal form is equal to 1. To simplify 8/8 to a decimal, you divide the numerator (8) by the denominator (8). This is equal to 1. Therefore, 8/8 simplified into a decimal is 1.

The probability that at least one of the students will select a president who did not serve in the military is 1.00.

The probability that a student selects a president who did serve in the military is:

P(selects military president) = 31/43

Therefore, the probability that a student selects a president who did not serve in the military is:

P(selects non-military president) = 1 - 31/43 = 12/43

The probability that none of the 888 students select a non-military president is:

P(none select non-military president) = (31/43)^{888}

Therefore, the probability that at least one of the students will select a president who did not serve in the military is:

P(\text{at least one not in military}) = 1 - P(none select non-military president) = 1 - (31/43)^{888} ≈ 0.9996

Rounded to the nearest hundredth, the probability is 1.00.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. For example, the probability of flipping a fair coin and it landing on heads is 0.5 or 50%, while the probability of rolling a 7 on a standard six-sided die is 6/36 or 1/6, since there are six ways to roll a 7 out of 36 possible outcomes. Probability theory is used in many fields, including statistics, mathematics, science, finance, and engineering, to model and analyze random events and to make predictions based on data.

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Answer:

if 49.4 moles of MnO4- are available, 4300 g (or 4.3 kg) of MnO2 will be produced.

Step-by-step explanation:

16H+ (aq) + 2MnO4- (aq) + 10Br- (aq) → 2MnO2 (s) + 5Br2 (aq) + 8H2O (l)

From the balanced equation, we can see that 2 moles of MnO4- reacts with 2 moles of MnO2. Therefore, the number of moles of MnO2 formed is equal to the number of moles of MnO4- used.

First, let's calculate the number of moles of MnO4- used:

m(H2O) = 445 g

M(H2O) = 18.015 g/mol

n(H2O) = m/M = 445 g / 18.015 g/mol = 24.7 mol

Since 1 mol of H2O reacts with 2 moles of MnO4-, the number of moles of MnO4- required to react with 24.7 mol of H2O is:

n(MnO4-) = 2 × n(H2O) = 49.4 mol

Therefore, if we have 49.4 moles of MnO4- available, all of the MnO4- will be consumed and form the same number of moles of MnO2. The molar mass of MnO2 is 86.94 g/mol. The mass of MnO2 produced can be calculated as:

m(MnO2) = n(MnO2) × M(MnO2) = 49.4 mol × 86.94 g/mol = 4300 g

Therefore, if 49.4 moles of MnO4- are available, 4300 g (or 4.3 kg) of MnO2 will be produced.

Therefore, there is a 1/20 chance of getting a red marble out of a container containing 3 red, 2 black, and 5 yellow marbles when rolling a 4 on a cube.

By reducing the number of positive outcomes even by total number of potential outcomes, probability—the chance that a will occur—is determined. The most basic illustration is a coin toss. There are simply two results when users flip a coin: either it shows up heads or tails.

Given that there is only one possible method to roll a 4 out of six equally probable outcomes, the chance of rolling a 4 on a standard six-sided die is 1/6. (rolling a 1, 2, 3, 4, 5, or 6).

The following formula can be used to determine the likelihood of drawing a red marble from a container containing 3 red, 2 black, and 5 yellow marbles:

P(red) = number of red marbles / total number of marbles

So in this case:

P(red) = 3 / (3 + 2 + 5) = 3/10

To find the probability of both events occurring (rolling a 4 and pulling a red marble), we can multiply the probabilities of each event:

P(rolling a 4 and pulling a red marble) = P(rolling a 4) * P(red)

P(rolling a 4 and pulling a red marble) = (1/6) * (3/10)

P(rolling a 4 and pulling a red marble) = 1/20

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The value of x is given as follows:

x = 24.75.

The value of x is obtained solving the proportion in the context of the problem.

The proportion is defined as follows:

sin(29º) = 12/x.

Applying cross multiplication, we can isolate the variable x as follows:

xsin(29º) = 12

x = 12/sin(29º).

Then a calculator is used to divide 12 by the sine of 29 degrees, and then the result is given as follows:

x = 24.75.

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Answer:

The value of ƒ (6) is the value of y.

Step-by-step explanation:

Given: y = f(x)

Step 1: Substitute x = 6 into the equation.

y = f(6)

Step 2: Solve for y.

y = f(6)

Answer:

Yes, it is possible to determine which man has the different weight by using the seesaw three times. Here is one possible method

Divide the 12 men into three groups of four: A, B, and C.

Weigh group A against group B on the seesaw. (First use)

If the seesaw balances, then the odd man is in group C. Otherwise, he is in the heavier or lighter group (A or B).

Take two men from group C and weigh them against two men from group A or B that were balanced. (Second use)

If the seesaw balances again, then the odd man is one of the remaining two men from group C. Otherwise, he is one of the two men from group C that were weighed.

Weigh one of the suspected men against any other man. (Third use)

If the seesaw balances, then the odd man is the other one. Otherwise, he is the one that was weighed.

This method works because it eliminates half of the possible candidates at each step and identifies whether the odd man is heavier or lighter by comparing him with known balanced men.

Step-by-step explanation:

Answer: The correct answer is 4988.

Step-by-step explanation: 4007+981 = 4988 Add the one to the eight then add the 8 to the tens place and add the 9 to the hundreds place.

THIS IS THE CORRECT ANSWER.

The standard deviation of the given data set above would be = 6.97.

The mean is first calculate as follows;

= 8.9+1.4+14.2+24.1+6.1+1.7+9.2+5.2/8

= 70.8/8

=8.86

find the square of the difference between each data and the mean. That is;

8.9-8.86 = 0.04² = 0.0016

1.4-8.86 = −7.46² = 55.6516

14.2-8.86 = 5.34² = 28.5156

24.1-8.86 = 15.24² = 232.2576

6.1 -8.86 = −2.76² = 7.6176

1.7-8.86 = −7.16² =51.2656

9.2-8.86 = 0.34² = 0.1156

5.2 -8.86 = −3.66² = 13.3956

Sum the whole variables derived, divide it by number of variables and square the result.

= 0.0016+55.6516+28.5156+232.2576+7.6176+51.2656+0.1156+13.3956

= 388.8208/8

= √48.6026

= 6.97.

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Using linear programing and graphical method, the solutions are (0, 4), (3, 0) and (6, 4)

To solve the system of inequalities using linear programming, we need to graph the feasible region and find the optimal solution.

First, we will graph the boundary lines of the inequalities. To do this, we will find the x and y intercepts of each line and plot the points. Then we will draw the lines that connect the points.

For the first inequality, 6x - 4y ≤ 18, we can find the x intercept by setting y = 0:

6x - 4(0) = 18

6x = 18

x = 3

For the y intercept, we set x = 0:

6(0) - 4y = 18

-4y = 18

y = -4.5

So the x and y intercepts are (3, 0) and (0, -4.5), respectively.

For the second inequality, -2x + 7y ≤ 28, we can find the x intercept by setting y = 0:

-2x + 7(0) = 28

-2x = 28

x = -14

For the y intercept, we set x = 0:

-2(0) + 7y = 28

7y = 28

y = 4

So the x and y intercepts are (-14, 0) and (0, 4), respectively.

Next, we need to shade the feasible region that satisfies all the inequalities. The feasible region is the region that is below the first line (6x - 4y = 18) and to the left of the second line (-2x + 7y = 28), and in the first quadrant where x and y are both non-negative.

The optimal solution is the point within the feasible region that maximizes the objective function. Since we don't have an objective function to maximize or minimize, we can simply find the corner points of the feasible region and evaluate them to see which one satisfies the original inequalities. The corner points of the feasible region are the intersection points of the boundary lines. In this case, the corner points are (0, 4), (3, 0), and (6, 4).

Evaluating each corner point in the original inequalities, we get:

1. (0, 4):

6(0) - 4(4) = -16 ≤ 18 (satisfies the first inequality)

-2(0) + 7(4) = 28 ≤ 28 (satisfies the second inequality)

2. (3, 0):

6(3) - 4(0) = 18 ≤ 18 (satisfies the first inequality)

-2(3) + 7(0) = -6 ≤ 28 (satisfies the second inequality)

3. (6, 4):

6(6) - 4(4) = 20

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The value of 1+1 is 2.

Addition is a fundamental operation in mathematics that involves combining two or more numbers or quantities to find a total or sum. The process of addition involves adding together individual digits, numbers, or quantities to find their sum or total.

In the simplest form of addition, two numbers are added together to find their sum. For example, 2 + 3 = 5, where 2 and 3 are the addends, and 5 is the sum. The order in which the addends are added does not affect the sum, so 3 + 2 = 5 as well.

Addition can be extended to more than two numbers by adding each pair of numbers in turn. For example, to find the sum of 2, 3, and 4, we can add 2 + 3 first, which equals 5, and then add 5 + 4 to get the final sum of 9.

Addition can be represented visually using symbols such as the plus sign (+) and the equals sign (=). The plus sign is used to indicate that two numbers are being added together, while the equals sign indicates that the sum has been found.

Addition is used in many different applications, from simple arithmetic to complex mathematical models. It is a fundamental skill that is taught early on in mathematics education and is essential for understanding more advanced concepts in algebra, calculus, and other branches of mathematics.

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The transformation from to f(x) = -√(x - 4) involves reflecting the function across the x-axis and shifting it 4 units to the right.

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

f(x) = -√(x - 4)

The parent function is

f(x) = -√x

The transformation is represented as

f'(x) = (x - 4, -y)

This represents a reflection across the x-axis and a translation 4 units right

The transformed function is added as an attachment

From the graph, we have

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Answer:

The least whole number of bags of concrete mix that Roger needs in order to make the sidewalk is G, 44. To calculate this, we must first convert the cubic feet of the sidewalk into cubic inches, which would be 345,600 cubic inches. Then, we need to divide this by the amount of cubic inches in one bag (0.6 cubic feet = 630 cubic inches). This gives us 550 bags of concrete mix, but since Roger will be using a whole number, the closest he can get is 44 bags.