Select all the equations that have no solutions. Responses 4 – 6x = 4 4 – 6 x = 4 3x = (x + 9) + 2x 3 x = ( x + 9) + 2 x 6(x – 2) + 4 = 6x – 4 6( x – 2) + 4 = 6 x – 4 7x + 2 = 7x 7 x + 2 = 7 x 7x + 2x – 4 = –8 + 3(3x + 2)

Answer:

21

Step-by-step explanation:

becuase I searched it up

Answer:

Step-by-step explanation:

To determine the coordinates of the focus and the equation of the directrix for the given function, we can rewrite the equation in standard form for a parabola. The standard form of a parabola is given by:

4p(y - k) = (x - h)^2

where (h, k) represents the coordinates of the vertex, and the focus is located at (h, k + p), while the directrix is a horizontal line at y = k - p.

Let's manipulate the given equation to convert it into standard form:

20(y + 9) = (x - 8)^2

Divide both sides by 20:

(y + 9) = (1/20)(x - 8)^2

Rearrange the equation to isolate y:

y = (1/20)(x - 8)^2 - 9

Comparing this with the standard form, we can see that h = 8 and k = -9.

Therefore, the vertex is located at (8, -9).

To determine the value of p, we can use the formula p = 1/(4a), where a is the coefficient of (x - h)^2. In this case, a = 1/20.

p = 1/(4 * (1/20)) = 5

So, p = 5.

The focus is located at (h, k + p), which gives us the coordinates (8, -9 + 5) = (8, -4).

Therefore, the focus of the parabola is located at (8, -4).

The directrix is a horizontal line at y = k - p. Substituting the values, we have:

y = -9 - 5

Simplifying, we find:

y = -14

Therefore, the equation of the directrix is y = -14.

In summary, the coordinates of the focus are (8, -4), and the equation of the directrix is y = -14 for the given parabolic function.

Answer:

Step-by-step explanation:

\(6x^2-28x = - 16\\\\6x^2-28x + 16=0\\\\3x^2-7x+8=0\\\\9x^2-21x+24=0\\\\(3x)^2-2\cdot3x\cdot\frac72+(\frac72)^2-(\frac72)^2+24=0\\\\(3x-\frac72)^2-\frac{49}4+24=0\\\\(3x-\frac72)^2-12\frac{1}4+24=0\\\\(3x-\frac72)^2+12\frac{3}4=0\\\\(3x-\frac72)^2=-12\frac{3}4\)

Answer:

65 i did it quick, i might be wrong

Step-by-step explanation:

bh/2

10*39/3

390/3

130/2=65

Answer:

$35.00

Step-by-step explanation:

Add the exacted prices of the five books together.

5.99 + 6.00 + 6.45 + 7.75 + 7.99 = 34.18

The number closest to 34.18 on the list of choices is 35.00.

Have a nice day :)

Using the normal distribution, it is found that:

a) The z-score associated with a 60th percentile score is of Z = 0.253.

b) The score associated with the 60th percentile is of 51.265.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation are given, respectively, by:

\(\mu = 50, \sigma = 5\)

The 60th percentile is X when Z has a p-value of 0.6, so X when Z = 0.253, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(0.253 = \frac{X - 50}{5}\)

X - 50 = 5(0.253)

X = 51.265.

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Answer:

46

Step-by-step explanation:

length x width x height

7 x 5 x 3

Answer: surface area = 142

Volume = 105

* make sure to add labels (units^2, etc.)

Step-by-step explanation:

Area = length x height

Volume = length x width x height

Work Shown:

x = number of pounds of strawberries purchased

1.38x = cost of buying those x pounds of strawberries, at $1.38 a pound

1.38x = 241.50

x = (241.50)/(1.38)

x = 175

As a check,

1.38*x = 1.38*175 = 241.50

which confirms the answer

Answer:To find the probability of the student taking English, History I, Algebra, and Spanish II in the first semester, and History II, Spanish III, Geometry, and Biology in the next semester, we need to calculate the probability of each event occurring and then multiply them together.

First Semester:

The student needs to choose 4 classes out of the 17 classes offered. So, the probability of choosing English, History I, Algebra, and Spanish II is:

P(English) * P(History I) * P(Algebra) * P(Spanish II) = 1/17 * 1/16 * 1/15 * 1/14

Second Semester:

Similarly, the student needs to choose 4 classes out of the remaining 13 classes offered (since one class has already been taken). So, the probability of choosing History II, Spanish III, Geometry, and Biology is:

P(History II) * P(Spanish III) * P(Geometry) * P(Biology) = 1/13 * 1/12 * 1/11 * 1/10

To find the overall probability, we multiply the probabilities from both semesters together:

P = (1/17 * 1/16 * 1/15 * 1/14) * (1/13 * 1/12 * 1/11 * 1/10)

Calculating this expression gives us the probability of the student following the specified schedule.

Step-by-step explanation:

x = the quantity of 3 plus or minus the square root of 29 all over 2. Then the correct option is B.

The quadratic equation is given as ax² + bx + c = 0.

Then the solution is given as

\(\rm x = \dfrac{-b\pm \sqrt{b^2 - 4ac}}{2a}\)

The quadratic equation is given below.

x² – 3x – 5 = 0

Then the solution of the equation will be

\(\rm x = \dfrac{-(-3)\pm \sqrt{(-3)^2 - 4 *1*(-5)}}{2*1}\\x = \dfrac{3 \pm \sqrt{29}}{2}\)

Then the correct option is B.

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Answer:

-41

Step-by-step explanation:

(f∘g)(-5)

f(g(-5))

4(2(-5)) - 1

4(-10) - 1

-40 - 1

= -41

Answer:

-41.

Step-by-step explanation:

g(-5) = 2*-5 = -10

(f o g)(-5) =  4(-10) - 1

= -41.

Answer:

Heyyy add me on discord

Step-by-step explanation:

ItsYoBoiJake#4649

The value of the principal investment is:

$4,942.96

To determine the value of the principal investment, we can use the given compound interest formula:

\(A = P(1 + \frac{0.07}{4})^{4t}\)

Where:

A = the final amount after 15 years

P = the principal

0.07 = the interest rate (7%)

4 = the number of times the interest is compounded per year, in this case quarterly

t = the time period in years, 15

Substituting t and A into the formula, we can find P:

\(13,997.55 = P(1 + \frac{0.07}{4})^{4*15}\)

\(13,997.55 = P(1 + 0.0175)^{60}\)

\(13,997.55 = P(1.0175)^{60}\)

\(P = \frac{13,997.55}{(1.0175)^{60}}\)

P = $4,942.96

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The material needed for the kite is the area of the kite

The amount of material needed for the entire kite is 48 square inches

The given parameters:

KI =6 inches

ET = 8 inches

KT=10 inches

Area of ΔKIT = 17 square inches

Start by calculating the area of the bottom triangle using:

Area = 0.5 * Base * Height

So, we have:

Area = 0.5 * KI * KT

This gives

Area = 0.5 * 6 * 10

Area = 30

The amount of material used is then calculated as:

Material = Area of the bottom triangle + Area of ΔKIT

This gives

Material = 30 + 17

Material = 47

This is approximately 48

Hence, 48 square inches of material is used for the entire kite

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Answer:

The answer is 48 square inches or option C on EDG

Step-by-step explanation:

:)

The length of the base of the triangular prism will be 6 inches.

Given that:

Height of triangle, h = 3 inches

Height of prism, H = 4 inches

Volume, V = 36 cubic inches

Let the prism with a base area of A and a height of H. Then the volume of the prism is given as,

V = A x H

The length of the base is calculated as,

36 = 1/2 x B x 3 x 4

12B = 72

B = 6 inches

The length of the base of the triangular prism will be 6 inches.

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The complete question is given below.

A gift box in the shape of a triangular prism has a volume of 36 cubic inches, a base height of 4 inches, and a height of 3 inches. What is the length of the base?

The expansion of the function f = y'x + x'z with respect to x yields (x + y')(x + z'), and the expansion with respect to y gives (x' + y)(x + z').

(a) To expand the function f = y'x + x'z with respect to x, we use the distributive property and apply De Morgan's law to simplify the expression:

f = y'x + x'z

  = x'y + x'z

  = (x'y)'(x'z)'    [Using De Morgan's law]

  = (x + y')(x + z')   [Using De Morgan's law again]

(b) Designing the function using a 2-to-1 multiplexer for the case of expanding f with respect to x involves using the inputs x, y, and z as the select lines of the multiplexer. The inputs x + y' and x + z' will be connected to the data inputs of the multiplexer, and the output of the multiplexer will be the expanded function f.

(c) Similarly, for expanding f with respect to y, the expansion is:

f = y'x + x'z

  = xy' + x'z

  = (xy')'(x'z)'    [Using De Morgan's law]

  = (x' + y)(x + z')   [Using De Morgan's law again]

For this case, the inputs x', y, and z will serve as the select lines of the 2-to-1 multiplexer. The inputs x' + y and x + z' will be connected to the data inputs, and the output of the multiplexer will represent the expanded function f.

In both cases, the 2-to-1 multiplexer is used to implement the logic function by selecting the appropriate data inputs based on the select lines, which are derived from the expansion of the function with respect to the corresponding variable.

In conclusion, the expansion of the function f = y'x + x'z with respect to x yields (x + y')(x + z'), and the expansion with respect to y gives (x' + y)(x + z'). By utilizing 2-to-1 multiplexers, the expanded functions can be designed by connecting the appropriate data inputs to the multiplexer based on the select lines derived from the expansions. This allows for the implementation of the logic functions using multiplexers, providing a compact and efficient circuit design.

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Answer:

\(m=-54\)

Step-by-step explanation:

We have the equation \(3-\frac{m}{6}=12\) and we want to solve for m using the Properties of Equality.

Steps:

1) Subtraction Property of Equality (subtract 3 from both sides):

\((3-\frac{m}{6})-3=(12)-3\)

\(-\frac{m}{6}=9\)

2) Multiplication Property of Equality (multiply both sides by -6):

\(-6(\frac{m}{-6})=-6(9)\)

\(m=-54\)

Therefore, our final answer is \(m=-54\)

Answer:

Your answer would be B!!

Step-by-step explanation:

If you need me to show how to work it let me know!!

Answer:

(b) Along the straight line from (0, 0, 0) to (0, 1, 1), x = 0, y = 0, dx = 0, dy = 0, while z ... 6(1)(1)}dx + {2(1)+3x(1)} + {1 – 4x(1)(19°30 = S (3x' – 6)dx=-5 ... (c) The straight line joining (0,0,0) and (1, 1, 1) is given in parametric form by x = 1, y = 1, z = 1. ... From this it follows that the line integral around any closed path in R is zero, ...

Step-by-step explanation:

Answer: The answer is C. :)

Step-by-step explanation: put it in a calculator like... 3.15 divided by 4.2 and you'll get 0.75 :)

With the probability that 75% of students favor a difficult final exam, the 95% confidence interval based 60 students for sample proportion is ( 0.64, 0.86).

We have to investigate the believability of my results.

Sample size, n = 60

Confidence nterval = 95%

Sample proportion for students who favour the difficulty of exam, \( \hat p\) = 75% = 0.75

We have to determine 95% confidence interval based 60 students. Using the confidence interval formula or sample proportion, \(CI = \hat p ± z^* \sqrt{\frac{\hat p ( 1 - \hat p )}{n}}\)

Now, using the Z-distribution table, the value z- score for 95% of confidence interval is equals to 1.96.

Substitute all known values in above formula, \(= 0.75 ± 1.96 \sqrt{ \frac{ 0.75( 1- 0.75)}{60}}\)

= 0.75 ± 0.11

= ( 0.64, 0.86)

Hence, required value of interval is ( 0.64, 0.86), i.e., 0.64 < p < 0.86.

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Answer:

The answer is 3,150

Step-by-step explanation:

You multiply 1350 with 7 and divide it by 3 and you get 3,150 as your answer.

s=450t is the  equation that represents this direct variation.

The length along a line or line segment between two points on the line or line segment.

Given that the distance a jet travels (d) varies directly with the number of hours (t) flown.

A  jet travels 1,350 miles in three hours.

Distance is one thousand three hundred fifty and the time is three hours.

The speed is 1350/3 which is equal to four hundred fifty.

We need to write the equation that represents this direct variation.

s=450t

Hence, s=450t is the  equation that represents this direct variation.

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Answer:

\({ \tt{ {27}^{3} \times {9}^{2} \times 3 }} \\ = { \tt{ {3}^{3} \times {3}^{2} \times {3}^{1} }} \\ = { \tt{ {3}^{(3 + 2 + 1)} }} \\ { \tt{ = {3}^{6} }}\)

Answer:

Base = 353.55 sq cm

Step-by-step explanation:

10 by 10 triangle = 45 45 90 traingle

hypotenuse = 10√2

A = 10√2 by 25

Answer:

See below.

Step-by-step explanation:

The answer is D. When a translation on the x-value is positive, it moves to the right. When a translation on the y-value is positive, it moves up. So, (x+4,y+4) moves up 4 units, and right 4 units.

-hope it helps

The answer is option D

Answer: 84° & 66°

Step-by-step explanation:

find our variables...

difference in two unknown angles is 18 so...

Let's use a, b, & c to set up

a=30 b=b c=b-18

150=b+c

150=b+(b-18)

150=2b-18

168=2b

84=b

Use our known b to find c...

c=b-18

c=84-18

c=66

Adding all three up to make sure they give us 180 degrees is a good way to check our work.

a+b+c=

30+84+66=180