Keisha solved the following equation: 4c - 2x + 8 = 6(x + 4)
Which step has an incorrect justification?
(9th grade Algebra 1)

Answer:

E = (-3a, -2b)

O = (3a, 2b)

M = (3a, -2b)

Step-by-step explanation:

Answer: x= 1023 /64

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

64x+1=1024

Step 2: Subtract 1 from both sides.

64x+1−1=1024−1

64x=1023

Step 3: Divide both sides by 64.

64x /64 = 1023 /64

x= 1023 /64

Answer:

1023/64

Step-by-step explanation:

4^3x+1=4^5

64x+1=4^5

64x+1-1=1024-1

64x=1023

64x/64}=1023/64

1023/64

Answer:1500

Step-by-step explanation: so i got the anwser 1539.2 and just rounded to the nearest hundredth which is 1500 hopefully it helps!

The scale of the map is 1 inch to 10 miles. This means that 1 inch on the map represents 10 miles.

In this case, since the two cities are 147 miles apart, what we need to do is divide 147 by 10 miles (because 1 inch represents 10 miles), to find the number of inches that this will represent on the map:

The distance on the map between the cities is 14.7 in

The probability that battery lasts more than 3 years is \(e^{-0.6 }\).

Parameter of Exponential Distribution

It is given that the average lifespan of the car battery = 5 years

⇒ μ = 5

And, we have to find the probability that the car battery lasts more than 3 years.

Now, the relation between the parameter of exponential distribution, λ and average, μ is given as,

1/ λ = μ

⇒ λ = 1/5

Calculating the Probability

The probability for the car battery to lasts more than 3 years is given by P(N>3). Here, N is the lifespan of the car battery.

P(N>3) = 1 - P(N≤3)

P(N>3) = 1-F(4)

Here, F is the exponential distribution  for the lifespan of the car battery.

P(N>3) = 1-(1-e^(-λn))

P(N>3) = \(e^{-3/5}\)

Thus, the required probability is,

P(N>3) = \(e^{-0.6 }\)

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Using it's concept, there is a 0.615 = 61.5% probability of an student receiving a grade of B or better.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Researching this problem on the internet, it is found that out of 26 students, 16 scored B or better, hence the probability is given by:

p = 16/26 = 0.615 = 61.5%.

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Hi!

I can help you with joy!

We are given 2 points: (-2, 3) and (5, 4), so we can easily calculate the slope of this line using this formula:

\(\displaystyle\frac{y2-y1}{x2-x1}\)

\(\displaystyle\frac{4-(-3)}{5-(-2)}\)

\(\displaystyle\frac{4+3}{5+2}\)

\(\displaystyle\frac{7}{7}\)

\(1\) (Answer)

I hope it helps!

Ask if you have any queries.

~Misty~

\(\bf{GracefulTeen\)

Enjoy your day!

Answer:

a 49/64

Step-by-step explanation:

7/8 multiply 7 ×7 = 49 then 8×8 is 64 so yeah a

Answer:

Stationery section will be 4 feet wide.

Step-by-step explanation:

Total area of bookstore = 288 sq ft

Area to be devoted to stationery = \(\frac{1}6\) of total area = \(\frac{1}{6} \times 288 = 48\ sq\ ft\)

Length of stationery section = 12 ft

To find:

Width of stationery section = ?

Solution:

First of all, let us have a look at the area of rectangle:

\(A = Length \times Width\)

Here, we are given the length for stationery section and area of stationery section has been calculated above.

And we have to find the Width of stationery section.

So, let us put the two values to find the third value.

\(\Rightarrow 48 = 12 \times Width\\\Rightarrow Width = \dfrac{48}{12}\\\Rightarrow \bold{Width = 4\ ft}\)

So, the answer is:

Stationery section will be 4 feet wide.

When Ф lies in quadrant IV the value of cos Ф lies in [0, 1].

One fourth of the part of a circle is said to be the quadrant of the circle.

Given the angle Ф lies in quadrant IV.

As we know, cos Ф is positive only in first and fourth quadrant i.e when Ф lies in 0<Ф<90 and 270<Ф<360.

cosФ range from [-1,1]

So, cos Ф is positive when Ф lies in 1st and 4th quadrant.

&  cos Ф is negative when Ф lies in 2nd and 3rd quadrant.

If cos ∅ lies in the quadrant IV, anything between [0, 1] can be the value of cos ∅.

Hence, when Ф lies in quadrant IV the value of cos Ф lies in [0, 1].

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We can conclude that the square pyramid has a volume of 111.5 in³.

A square pyramid in geometry is a pyramid with a square base.

It is a right square pyramid with C4v symmetry if the apex is perpendicular to and above the square's center.

It is an equilateral square pyramid, the Johnson solid J1 if all edge lengths are equal.

A polyhedron with seven faces is called a heptahedron.

One "normal" heptahedron exists, and it is formed up of a surface with one side made up of four triangles and three quadrilaterals.

So, 6.6 inches wide is the square pyramid's base.

The square pyramid's height is 7.7 inches or h.

V = a²(h/3) is the formula for the square pyramid's volume.

By changing the values given:
V = 6.6²(7.7/3)

V = 43.56(2.56)

V = 111.51 ≈ 111.5

Therefore, we can say that the square pyramid has a volume of 111.5 in³.

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Answer:

I believe this is how you do it

Step-by-step explanation:

csc∅tan∅

(1/sin∅)(sin∅/cos∅)

(sin∅)/(sin∅cos∅)

1/(cos∅)

sec∅

csc²∅tan²∅sin∅

1/(sin²∅) * tan²∅ * sin∅

tan²∅/sin²∅ * sin∅

tan²∅/sin∅

The required value of y for the unit circle is: 2/3

The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).

The equation of the circle is given by:

(x - h)² + (y - k)² = r²

where:

h, k is the coordinate of the center of the circle on coordinate plane.

r is the radius of the circle.

Here,

Equation of the unit circle is given as,

x² + y² = 1

Now substitute the given value in the equation,

5/9 + y² = 1

y² = 1 - 5/9

y² = 4/ 9

y = √(4/9)

y = 2/3

Thus, the required value of y for the unit circle is 2/3

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Answer:

Min: 143

Q1: 150

Med: 161

Q3: 168

Max: 180

Step-by-step explanation:

The line in the box means median, The line furthest to the right is the highest number, the line furthest to the left is the lowest number. The lines that create the box are (from left to right) the first quartile and the third quartile.

The answer from left to right:

143

152

161

168

180

Answer:

1

Step-by-step explanation:

14 x + 3 = 12x + 5

or, 14 x - 12x = 5 - 3

or, 2x = 2

or, x = 2÷2

therefore , x = 1

hope this answer will help u.

In this case, we have two recurrence relations: T(n) = 3T(n/3) + 5n and T(n) = 3T(n/3) + 5n². By expanding the expressions at each level and replacing the recursive terms, we can derive the exact solution for T(n).

To obtain the exact solution for T(n), we start by expanding the expression for T(n) at level 0, using the given recurrence relation. We replace T(n) with the initial value of 5n² and add three terms of T(n/3) at level 1. We continue this expansion process, adding three terms at each subsequent level until we reach the final level, where n/3 = 1.

At each level, the number of terms is determined by 3 raised to the power of the level. The value of each term is 5 times the square of n divided by 3 raised to the power of the level. Finally, we sum up all the terms at each level to obtain the total value of T(n).

In the end, we use the property of logarithms to determine the number of levels, which is log3 n. By simplifying the expression, we arrive at the exact solution for T(n) as 5n² times the sum of a geometric series.

By following this expansion and simplification process, we can obtain the exact expression for T(n) in terms of n, including all the constants involved in the recurrence relation.

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The perimeter of the figure with vertices D(-4, 5), E(-4, -6) and F(3, -6) is given as follows:

31.04 units.

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

The vertices of the polygon in this problem are given as follows:

D(-4, 5), E(-4, -6) and F(3, -6).

Hence the side lengths are given as follows:

Hence the perimeter of the polygon is given as follows:

11 + 13.04 + 7 = 31.04 units.

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Given:

ABCD is a parallelogram.

To prove:

Proof:

Hence proved.

Answer:

median is 39

the minimum is 2

Step-by-step explanation:

minimum is the first number.

The meadin you have to add every points so 2x2, 3x3, 4x5, 5x4, 6x3, and 7x1

That's the amount of dots over each number which will give you 78 and the to find the median of 78 you divide by 2 which gives you 39.

Hope this helps!

If it's wrong let me know and I'll try to help you again!

a) The coefficients of the regression equation are given as follows:

b) The regression equation is defined as follows: y = 0.9x + 7.6.

c) The estimate of y when x = 6 is given as follows: y = 13.

The slope-intercept definition of the regression equation is given as follows:

y = b1x + b0.

In which the parameters are given as follows:

The points from the table in this problem are given as follows:

(2,7), (6, 18), (9,9), (13, 26), (20,23).

Inserting these points into a linear regression calculator, the equation is given as follows:

y = 0.9x + 7.6.

Then the estimate of the value of y when x = 6 is obtained as follows:

y = 0.9(6) + 7.6 = 13.

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Answer:

-8

Step-by-step explanation:

given x as 4/5   and y =  - 0.1...

converting x to decimal it becomes 0.8

we then input values for x and y in the equation x/y

x/y =   0.8 /  -0.1  =   -8

The value of the fraction x/y is -8.

Given that, x= 4/5 and y= −0.1.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

To find the value of fraction x/y:

Here, x=4/5 = 0.8

Now, x/y = 0.8/(-0.1)

= -8

Hence, the value of the fraction x/y is -8.

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Answer:

I think A or D

Step-by-step explanation:

The value of x is either 3 or -5 based on the distance formula.

What is a co-ordinate system?

In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.

Main body:

according to question

Given points A(-1,4) and B(x,7)

Also AB = 5 cm

Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)

here by using points ,

5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)

taking square on both side ,'

25 = \((x+1)^{2} +3^{2}\)

25-9 = (x+1)²

16 = (x+1)²

taking square root on both sides,

x+1= ±4

x = 4-1 = 3                                  or              x = -4-1 = -5

Hence value of x is either 3 or -5.

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Answer:

they played 20 games together

Step-by-step explanation:

use percentages

Let x be the number of total games.

If 60% is won games then 40% is lost games.

(8/x)*100 = 40

8/x = 4/10

80 = 4x

X = 80/4

Therefore the number of games is 20

The angles of △ABC can be determined by dividing 360 degrees by the number of congruent triangles. Therefore, each angle of △ABC measures 90 degrees as all the sides are congruent.

Since triangle ABC is isosceles, we know that angle BAC is equal to angle BCA. By drawing the perpendicular bisector of AC from point D, we can see that it intersects AC at its midpoint M. Therefore, we have AD = MC, and angle AMD is equal to angle CMD. Similarly, by drawing the perpendicular bisector of AC from point F, we have FC = CE, and angle CFE is equal to angle ECF. Since AD = DE and BF = EF, we have angle ADE = angle DEF and angle BEF = angle BFE. Therefore, we have four congruent triangles: △AMD, △BME, △ECF, and △FBC. Each of these triangles has angles that add up to 180 degrees, so we can find the measures of the angles of △ABC by dividing 360 degrees by the number of congruent triangles. Thus, each angle of △ABC measures 90 degrees.

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In the next 10 years there will be 398 racoons in the state park

The annual increase in the population size is defined as a sum of differences: the difference between births less deaths and the difference between immigrants less emigrants, in a given country, territory or geographic area at a given year.

Using the formula

p(t) = p(o) e^ kt

k = 3.5/100 = 0.035

t = 10 years

p(t) = 280 e^ 0.035 ×10

p(t) = 280e^0.35

p(t) = 280 × 1.42

p(t) = 398( nearest whole number)

therefore be after 10 years there will be 398 racoons in the state park.

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Answer: A

Step-by-step explanation: Both distributions are symmetrical, so standard deviation and the mean will be the most useful for comparison because they give more information on the different values in the distribution and their likelihood.

Answer:

16

Step-by-step explanation:

I love algebra.

\(-20x=-320\\x=\frac{-320}{-20} \\x=16\)

Answer:

-20x=-320

-20x/-20=-320/-20

x = 16