Do you think you can write a disjunction that has no
solution? Explain your reasoning.
what is the answer for this

Talia has consumed 15 grams of sugar by eating 30 crackers. The right option is 15.

According to the information provided, one serving of crackers is equivalent to 10 crackers and contains 5 grams of sugar.

To calculate the amount of sugar consumed by Talia, who ate 30 crackers, we can set up a proportion based on the ratio of crackers to sugar:

10 crackers / 5 grams = 30 crackers / x grams.

Cross-multiplying, we have:

10 \(\times\) \(x\) = 5 \(\times\) 30.

Simplifying the equation:

10x = 150.

Dividing both sides by 10:

x = 15.

Therefore, Talia consumed 15 grams of sugar by eating 30 crackers.

Among the given answer choices, the correct option is 15 grams.

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ASA stands for "Angle-Side-Angle." Triangles classified as ASAs have two known angles and a common side. The ASA triangle ABC, with provided angles B and C and their common side a between them, is depicted below.

What does a congruence mean in mathematics?

If two numbers can be placed exactly over one another, they are said to be "congruent." When placed one on top of the other, the two bread slices are the same size and form. Things that are precisely the same size and shape are said to be congruent.

Describe ASA congruence through an example.

ASA (Angle-Side- Angle) 

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

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The point in the solution set from the graph is (0, 0)

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

y < -5/2x - 2

y ≥ -1/2x + 2

Next, we plot the graph of the system of the inequalities

The graph is given

From the graph, we have solution to the system to be the shaded region

The point in the solution set from the graph is (0, 0)

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Answer:

Using distributive property to solve \((x+12)8\) we get \(\mathbf{8x+96}\)

Step-by-step explanation:

We need to used distributive property to solve (x+12)8

The distributive property of multiplication or addition states that: \(a(b+c)=ab+ac\)

Using the property:

\((x+12)8\\=8x+8*12\\=8x+96\)

So, using distributive property to solve \((x+12)8\) we get \(\mathbf{8x+96}\)

Answer:

There is not enough evidence to support the mangers claim.

Step-by-step explanation:

We are given;

Sample Size; n = 1600

Sample proportion; p^ = 0.26

Population Proportion; p = 0.24

The hypotheses are;

Null Hypothesis: H0: p = 0.24

Alternative Hypothesis: Ha: p ≠ 0.24

The z-formula for this is;

z = (p^ - p)/√(p(1 - p)/n)

Plugging in the relevant values, we have;

z = (0.26 - 0.24)/√(0.24(1 - 0.24)/1600)

z = 0.02/0.01067707825

z = 1.87

From online p-value from z-score calculator, with 2 tail attached, we have;

p = 0.061484

This p-value is less than the significance level of 0.1. Thus, we will reject the null hypothesis and conclude that there is not enough evidence to support the managers claim.

The probability that the second card is also a spade is 4/17. (option A).

Probability is used to determine the extent to which it is likely that a random event would happen. The chances that the event would happen has a probability value that lies between 0 and 1.

In a deck of playing cards, there are 13 spades. After the first card is dealt, the number of spades and the number of playing cards would decline by 1. There would now be 12 spades and 51 playing cards.

Probability that the second card is a spade = number of spades / number of playing cards

Probability that the second card is a spade = 12 / 51

Probability that the second card is a spade = 4 / 17

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Answer:

-1 6/10

is greater than

- 5/3

Step-by-step explanation:

Answer:

96.25%

Step-by-step explanation:

The empirical rule regarding mean and standard deviation is that

Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find  approximately 95/2 = 47.5% of the values

Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values

Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values

Answer:

Divide the numerator and denominator of the given rate by the denominator of the given rate.

Step-by-step explanation:

9514 1404 393

Explanation:

a) see the attachment for a graph (red curve)

__

b) The piecewise defined function can be ...

  \(\displaystyle C(x)=\begin{cases}0&0\le x\le 1\\5&1<x\le 3\\2x-1&3<x\le12\end{cases}\)

__

c) The new cost function is ...

  \(\displaystyle C(x)=\begin{cases}10&0\le x\le5\\x+5&5<x\end{cases}\)

The charge is a flat $10 for any period up to 5 hours, then $1 per additional hour after that, prorated for partial hours. There is apparently no upper limit on parking time as there was with the original function. (The graph shown goes beyond 15 hours; the domain of the original C(x) is 0 to 12 hours.) For reference, the new cost structure is shown in blue in the attachment.

_____

Additional comment

Under the new structure, costs are significantly higher for short-term parking, and lower once the term exceeds 6 hours.

Answer:

A 6pi inches

Step-by-step explanation:

Formula for circumference is 2pir

2*3=6

6*pi=6pi

Answer:

3) 1/2 = 6/12

6) 2/3 = 4/6

9) 4/6 = 8/12

12) 3/4 = 9/12

15) 4/4 = 9/9

18) 6/9 = 4/6

Step-by-step explanation:

Divide the smaller of the denominators into the larger denominator. This give you a number to multiply by the known numerator to obtain the missing numerator.

Examples:

3)  1/2 = ?/12,   12÷2 = 6,  6 ×1 = 6, so  1/2 = 6/12

4) 2/3 = ?/6,     6÷3 = 2,   2×2 = 4,  so 2/3 = 4/6

etc.

etc.

etc.

Answer:

A population is the entire group that you want to draw conclusions about.

So, in this exercise, the population is all the students attending the college.

The phrase "3 over 1" would be used to describe the proportion of vehicles to trains. The (C) option is that.

A ratio in mathematics shows how many times one quantity is present in another.

For instance, if a dish of fruit's fully oranges and six lemons, the ratio of oranges and lemons is eight to six.

This ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons and oranges is 6:8.

Two quantities are compared to form a ratio.

An equality of two ratios is a percentage.

So, the following are some of the car models that Alex has collected:

There are 8 airplanes.

There are 4 trains in all.

There are 12 vehicles.

Consequently, the car-to-train ratio is 12:4.

This is further simplified to its most basic form:

= 12:4

= 3:1

Therefore, the phrase "3 over 1" would be used to describe the proportion of vehicles to trains. The (C) option is that.

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Complete question:

Alex has a collection of vehicle models. He built 8 model airplanes, 4 model trains, and 12 model cars. Write a ratio to represent the ratio of cars to trains.

A. 12:24 FAST HELP

B. 1:3

C. 3 over 1

D> 4 to 12

Answer:

it would be 60 degrees at noon

Step-by-step explanation:

Answer:

D) Subtract -5 from 15, then find the absolute value

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume = Bh

Turn the shape so the trapezoid is on the bottom/base

h=18   for overall shape

B = area of base, trapezoid

B = 1/2 (b₁ + b₂) h  

b₁ = 11

b₂ = 25

h = 24   for trapezoid

B = 1/2 (11 + 25)(24)

B = 432

V = Bh

V = (432)(18)

V= 7776 in³

Answer:

x = 5

y = 1

Step-by-step explanation:

2x - y = 9

3x + 4y = 19

We multiply the first equation by 4

8x - 4y = 36

3x + 4y = 19

11x = 55

x = 5

Now we put 5 in for x and solve for y

2(5) - y = 9

10 - y = 9

-y = -1

y = 1

Let's Check the answer

2(5) - 1 = 9

10 - 1 = 9

9 = 9

So, x = 5 and y = 1 is the correct answer.

Answer:

139.43

Step-by-step explanation:

What I did was I divided 836.55 by 6 and came out to the answer: 139.425. Since you mentioned we needed to round up to the nearest hundredth, I rounded up the .425 to .43

The population increases by 4.3% each year

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

Population of a city next year = Multiply its current population by 1.043

This means that

Growth factor =1.043

The percentage population increment is then calculated as

Percentage population increment = Growth factor - 1

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

Percentage population increment = 1.043 - 1

Evaluate

Percentage population increment = 0.043

Express as percentage

Percentage population increment = 4.3%

Hence, the percentage is 4.3%

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Answer:

The final selling price would be $51.20

20% of 80 gives you 16

80-16= 64

20% of the 64 which is from the coupons gives you 12.5

64-12.5 =51.20

Answer:

person above me is correct

Step-by-step explanation:

just put what they put

the Answer is C. 367 meters

Answer: 367 meters

Step-by-step explanation:

The inequality is solved and the number is x ≥ 12

Given data ,

Let the number be represented as x

Now , sum of three times a number and -4 is at least twice the number plus 8

And , 3x - 4 ≥ 2x + 8

To solve for "x", we can start by isolating the "x" term on one side of the inequality

3x - 4 ≥ 2x + 8

Subtract 2x from both sides , we get

3x - 2x - 4 ≥ 2x - 2x + 8

x - 4 ≥ 8

Add 4 to both sides , we get

x - 4 + 4 ≥ 8 + 4

x ≥ 12

Hence , the inequality is x ≥ 12

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There is no real Value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

(i) Zeroes of the polynomial:

In the graph, we have two points where the curve intersects the x-axis: one is at (-1,0), and the other is at (2,0).The corresponding values of x are -1 and 2, and they are the zeros of the polynomial. Therefore, the zeros of the polynomial are -1 and 2.(ii) Forming the quadratic polynomial:

From the graph, we can observe that the curve intersects the y-axis at the point (0,5), implying that the constant term of the polynomial is 5.

We can use the formula to find the quadratic polynomial if we have two zeros and one constant term. Thus, the quadratic polynomial is given by:(x + 1)(x - 2) = x² - x - 2x + 2 = x² - 3x + 2. Therefore, the quadratic polynomial is x² - 3x + 2.(iii) Value of k if a, 1/a are the zeroes of the polynomial 2x² - x + 8k:

We know that a and 1/a are the zeroes of the polynomial 2x² - x + 8k. Therefore, we can find the sum and product of the roots and use them to determine the value of k.

The sum of the roots is a + 1/a, and their product is a(1/a) = 1. Using the sum and product of the roots, we can write: a + 1/a = 1/2 (1/2 is the coefficient of x)Substituting a with 1/a in the above equation, we get: 1/a + a = 1/2Multiplying both sides of the equation by 2a, we get: 2 + 2a² = a

Simplifying the equation, we get: 2a² - a + 2 = 0Multiplying both sides by 2,

we get: 4a² - 2a + 4 = 0Dividing both sides by 2, we get: 2a² - a + 2 = 0

Using the quadratic formula, we get: a = [1 ± √(1 - 4(2)(2))]/(2(2))

Simplifying, we get: a = [1 ± √(-31)]/4Since the discriminant of the quadratic formula is negative, the roots are imaginary. Therefore, there is no real value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

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Answer:

Respuesta. Respuesta: El Teorema de Pitágoras sirve para resolver una multitud de problemas; por ejemplo de, cálculo de distancias en el plano, en los mapas, en la realidad. ... En general, el Teorema de Pitágoras se puede utilizar para hallar longitudes en donde intervienen triángulos rectángulos.

Here we have a dilation of scale factor 2.

We can see that bot figures we have the same slope, so we just have a dilation of scale factor K to go from figure A to figure B.

To find the value of K, notice that for some side length L in figure A, the correspondent length L' in figure B must be:

L' = K*L

Here if we use the left sides, we will get:

for figure A; L= 2

for figure B: L = 4

4 = K*2

4/2 = K

2 = K

So this is a dilation of scale factor k = 2.

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Expectation is linear, meaning

E(a X + b Y) = E(a X) + E(b Y)

= a E(X) + b E(Y)

If X = 1 and Y = 0, we see that the expectation of a constant, E(a), is equal to the constant, a.

Use this property to compute the expectations:

E(X + 10) = E(X) + E(10) = $110

E(5Y) = 5 E(Y) = $450

E(X + Y) = E(X) + E(Y) = $190

Variance has a similar property:

V(a X + b Y) = V(a X) + V(b Y) + Cov(X, Y)

= a^2 V(X) + b^2 V(Y) + Cov(X, Y)

where "Cov" denotes covariance, defined by

E[(X - E(X))(Y - E(Y))] = E(X Y) - E(X) E(Y)

Without knowing the expectation of X Y, we can't determine the covariance and thus variance of the expression a X + b Y.

However, if X and Y are independent, then E(X Y) = E(X) E(Y), which makes the covariance vanish, so that

V(a X + b Y) = a^2 V(X) + b^2 V(Y)

and this is the assumption we have to make to find the standard deviations (which is the square root of the variance).

Also, variance is defined as

V(X) = E[(X - E(X))^2] = E(X^2) - E(X)^2

and it follows from this that, if X is a constant, say a, then

V(a) = E(a^2) - E(a)^2 = a^2 - a^2 = 0

Use this property, and the assumption of independence, to compute the variances, and hence the standard deviations:

V(X + 10) = V(X)  ==>  SD(X + 10) = SD(X) = $90

V(5Y) = 5^2 V(Y) = 25 V(Y)  ==>  SD(5Y) = 5 SD(Y) = $40

V(X + Y) = V(X) + V(Y)  ==>  SD(X + Y) = √[SD(X)^2 + SD(Y)^2] = √8164 ≈ $90.35

A teacher, she is measuring the height of students, She gets data from 500 students, the visual displays is most appropriate is, Bar chart. So option A is correct.

Statistics is a process in which we collect, interpret, study and understand the data. We took a small sample from the large quantity and then we did study of the sample then according to results, we did our predictions for events which can happen in future.

Given that,

A teacher is measuring the height of students at her high school

She gets data from 500 students at her high school

Most appropriate visual displays by,

The bar graph,

because it will show result,

In rectangular columns and vertical height can represent the number of students,

Different  columns can represent the range of height

Hence, the appropriate choice is Bar chart

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Considering the polynomial f(x) = x^4  - 16x³ + 70x² + 48x - 219, we have that:

a) The zeros are: x = -1.995, x = 1.995, x = 8 - 3i, x = 8 + 3i.

b) The linear factors are: (x + 1.995)(x - 1.995)(x - 8 + 3i)(x - 8 - 3i).

c) The solutions to f(x) = 0 are: x = -1.995, x = 1.995, x = 8 - 3i, x = 8 + 3i.

The given zero of the polynomial is:

8 + 3i

Hence it's conjugate is also a zero, that is:

8 - 3i.

Thus the first two factors are given as follows:

(x - 8 - 3i)(x - 8 + 3i) = x² - 16x + 64 + 9i² = x² - 16x + 55.

Then the polynomial can be written as follows:

x^4  - 16x³ + 70x² + 48x - 219 = (ax² + bx + c)(x² - 16x + 55).

As a fourth order polynomial can be the product of two second order polynomials. Applying the distributive property to the right side of the equality, we have that:

x^4  - 16x³ + 70x² + 48x - 219 = ax^4 + x³(b - 16a) + x²(55a + c - 16b) + x(55b - 16c) + 55c.

Then the coefficients are given as follows:

Hence the other two factors are given as follows:

x² - 3.98 = 0

x = ± sqrt(3.98)

x = ± 1.995.

The linear factors are:

(x - x')(x - x'')(x - x''')(x - x'''').

In which x', x'', x''' and x'''' are the roots.

The solutions to f(x) = 0 are the roots.

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