A yogurt shop offers 5 different flavors of frozen yogurt and 12 different toppings. How manychoices are possible for a single serving of frozen yogurt with one topping?

Answer: 2nd and 4th set

Step-by-step explanation:

1st set has no solution because the left side of the second equation is that of the first equation divided by 3, but the right side is not.

2nd set has 1 solution because it is the set of 2 lines with different slopes and y-intercepts.

3rd set has infinitely many solutions because multiplying the top equation by 1/3 gives you the bottom equation.

4th set has only solution for the same reason as 2nd set.

5th set has no solution because the two lines are parallel, but have different y intercepts, meaning they never intersect.

Answer:

100 J

Step-by-step explanation:

The formula for kinetic energy is as follows:

\(\boxed{KE= \frac{1}{2} mv²}\)

where

KE= kinetic energy (J)

m= mass (kg)

v= velocity (m/s)

Given: m= 50 kg, v= 2 m/s

Substituting the given information into the formula:

KE

= ½(50)(2²)

= ½(50)(4)

= 100 J

The value of x in chords is 25.857 and this is a isosceles triangle.

In geometry, a chord is a line segment that connects two points on the circumference of a circle. A chord is the longest distance between two points on a circle, and it passes through the center of the circle. The endpoints of a chord are referred to as its "endpoints." A chord that passes through the center of a circle is called the "diameter" of the circle. The length of a chord can be calculated using the Pythagorean theorem, given the radius and the distance between the center and the chord. Chords are used in various geometric calculations involving circles, such as finding the area of a sector or segment of a circle.

The sum of the angles of a triangle is 180 degrees. In a circle, the angle subtended by an arc at the center of the circle is twice the angle subtended by the same arc at any point on the circumference. Using these facts, we can set up the following equation to find x:

(1/2)(14x - 7) + (1/2)(12x + 4) + (1/2)(4x) = 180

Simplifying and solving for x, we get:

7x - 1 = 180

7x = 181

x = 25.857

Therefore, x is approximately equal to 25.857.

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The system of equations has one solution.

To check this, we can graph the two equations of the system:

y = (-1/3)x + 7

y = -2x³ + 5x² + x - 2

On the same coordinate axis, and check how many times do the graphs intercept.

The graph can be seen in the image at the end, there you can see that there is only one intecept point. Thus, the system of equations has only one solution.

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Answer:

there the same

Step-by-step explanation:

.700 is bigger then .7 so add two 0s after and you can compare them then

Explanation

Step 1

in this expression, we can add similar terms:(same base and same exponent)

I hope this helps you

Answer:

112

Step-by-step explanation:

40+30+10=80

80% of 140 = 112

For the function, the x-intercept of g(x) is at (5,0).

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.

Given f(x) = ln(x)

and g(x) = -f(x - 4)

the function is

g(x) = -ln(x - 4)

when x = 5

g(x) = -ln(5 - 4)

g(x) = -ln1

g(x) = 0

the coordinates are (5, 0)

Hence the x-intercept is (5, 0).

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Answer:

rajjsjdjdjxkkdkdkdkkdjxjjdjxjckfkjdjfuidid

To earn an average score of 90, the score on the fourth test needs to be 98.

The core value of a set of data is expressed mathematically as the average of a list of data. It is defined mathematically as the ratio between the total number of units in the list and the sum of all the data. The term "mean" in statistics also refers to the average of a particular set of numerical data.

Given the score of the first three tests as:

91, 84, 87.

The average is given by the following formula:

Average = Sum of scores ÷ total number of tests

Let us suppose the score of fourth test as x.

Given that A = 90:

90 = (91 + 84 + 87 + x) ÷ 4

x = 98

Hence, the score on the fourth test must be equal to 98, to get an average score of 90.

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Answer:

( -2 , 0 ) maximum

Step-by-step explanation:

Watch the graph and point out the coordinates.

if its vertex is less that 0 or negative, then maximum.

With vertex being greater than 0 or positive, its minimum.

Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.

In mathematics, the logarithm is the reciprocal of a power. As a result, the exponent by which b must be raised to achieve a number x matches its logarithm in base b. For example, because 1000 = 103, the base-10 logarithm is 3, or log10 = 3. For example, the base 10 logarithm of 10 is 2, but the square of 10 is 100. Log 100 = 2. A logarithm (or log) is the mathematical word used to answer questions such as how many times a base of 10 must be multiplied by itself to get 1,000. The answer is 3 (1,000 = 10 10 10).

When you compute (In), you are calculating the natural logarithm of 7, which is indicated as ln(7) or loge (7).

As a result, the expression you'd be looking up the value of is: ln(7) or loge (7).

Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.

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Answer:

slope intercept form: y= -6x+3

point slope form: y-0= -6(x -1/2)

Step-by-step explanation:

point slope form: y - y1 = m(x - x1)

substitute the values  y-0=-6(x-1/2)

slope intercept form:

find the slope using two given points

m = (y2 - y1) / (x2 - x1)

= (3 - 0) / (0 - 1/2)

= 3 / (-1/2)

= -6

substitute into equation

y= -6x+3

Answer:

$1.10

Step-by-step explanation:

subtract 3.90 from 5.00 to get 1.10

or 3.90 + 1.10 = $5.00

Answer:

30

Step-by-step explanation:

5x6=30

The equation is \(y = 6x -3\).

Answer:

Step-by-step explanation:

Density is mass divided  by volume

d = 3/4 = 0.75 g/mL

Step-by-step explanation:

density=mass/volume=3/4 g/ml

Answer:

she needs $4.52

Step-by-step explanation:

(9.5*5.50)+x=56.77

52.25+x=56.77

x=56.77-52.25

x=4.52

Step-by-step explanation:

Linear graphs are straight line graphs to represent the relationship between two quantities. This graph helps in depicting a result in single straight lines. There is no use of curves, dots, bars, etc., and a straight line is denoted by the term linear.

The value of the angles that are in the triangle will be 97°, 51° and 32°.

The first thing to note before solving the question is that the sum of the total angles that are in a triangle is 180°.

In this case, it should be noted that the angles that are given are represented by variables. Therefore, we'll add them together and equate them to 180°. This will be:

18x + 7 + 8x + 11 + 6x + 2 = 180

32x + 20 = 180

Collect the like terms

32x = 180 - 20

32x = 160

Divide

x = 160 / 32

x = 5

First angle = 18x + 7

= 18(5) + 7

= 97°

Second angle = 8x + 11

= 8(5) + 11

= 51°

Third angle = 6x + 2

= 6(5) + 2

= 32°

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Answer:

713,7923 to the nearest hundred is 713,900

New data point is residual.

When a data point is added or removed from the whole dataset, it might cause a significant change in the regression equation by either changing the slope or the relationship coefficient existing between the variables.

An influential point is one that changes the relationship existing between the dependent and the independent variables significantly in either direction.

Since the new observed data point decreases the slope of the regression line but increases the correlation coefficient existing between the independent and the dependent variable, we can probably say that the new data point is an influential point.

Thus, Option B. is correct.

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Answer:

Si...

En una progresión geométrica se conocen a1 = 64 y r = 0,75

Method to discover the relationship between terms in two number sequences is to find a mathematical function that maps one sequence to the other.

A relation is a function if it has only One y-value for each x-value.

One method to discover the relationship between terms in two number sequences is to find a mathematical function that maps one sequence to the other.

To do this, you can start by selecting a set of corresponding terms from each sequence and attempt to express the relationship between them using mathematical operations.

It's important to note that finding a mathematical relationship between two sequences can sometimes be difficult, and in some cases may not be possible.

In such cases, it may be helpful to analyze the sequences using other methods, such as graphical representation or statistical analysis, to gain insight into their behavior.

Hence, method to discover the relationship between terms in two number sequences is to find a mathematical function that maps one sequence to the other.

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The outcomes that are contained in the events are

1 - P(X) = 4/5 and 1 - P(X) is the same as P(Not X)

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

X = gray colours

Given that

gray colours = 3 and 10

We have

X = 3 and 10

Not X =1, 2, 4, 5, 6, 7, 8

The probability is then calculated as

P(X) = 2/10 = 1/5

For P(Not X), we have

P(Not X) = 1 - 1/5 = 4/5

In (a), we have

P(Not X) = 1 - 1/5 = 4/5

This means that

P(Not X) = 1 - P(X)

So, the solution is

1 - P(X) = 4/5

Using the above (a) and (b) as a guide, we have the following:

1 - P(X) is the same as P(Not X)

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The height of domino #7 is approximately 6.89 cm tall.

The formula for the nth term of a geometric progression is:

\(a_n = a * r^(^n^-^1^)\)

where:

a is the first term (the height of the smallest domino, 4.00 cm),

r is the common ratio (the growth rate, 1.12), and

n is the term number (for domino #7, n = 7 + 1 = 8, because the sequence starts with domino #0).

Let's plug these values into the formula:

\(a_8 = 4.00 cm * (1.12)^7\)

(Note that we're using 7, not 8, because the first domino is #0, not #1.)

Now, compute the value:

\(a_8 = 4.00 cm * (1.12)^7\)

=  6.89 cm

So, domino #7 is approximately 6.89 cm tall.

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