Drag each equation to show if it could be a correct first step to solving the equation
3(x+8)=42.
(3-2)+(3-8)= 42
Yes
DRAG AND
DROP ITEMS
3x + 24 = 42
3x+8 = 42
No
x + 24 = 42
DRAG AND
DROP ITEMS
HERE
CLEAR
2+8=14 3(z+8)=126
Not Enough Information
CHECK
DRAG-AND
DROP ITEMS
HERE

Answer:

slope = [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, - 1) and (x₂, y₂ ) = (3, 1) ← 2 points on the line

m = [tex]\frac{1-(-1)}{3-(-2)}[/tex] = [tex]\frac{1+1}{3+2}[/tex] = [tex]\frac{2}{5}[/tex]

The scientific notation it can be written as 6 x [tex]10^5[/tex] petabytes.

A given number, equation, or expression is written in a format known as a scientific notation, which adheres to a set of principles. Large numbers like 8.6 billion are difficult to write in their numerical form since they are not only unclear but also time-consuming, and there is a potential that we may write a few zeros more or less. So, we utilise scientific notation to clearly describe extremely large or extremely small integers.

Given:

6E 5 petabytes

Now, we have to write the above number in scientific notation.

Now, the E generally represents the exponents raise to some power.

6E 5 petabytes

= 6 x [tex]10^5[/tex] petabytes

Hence, in scientific notation it can be written as 6 x [tex]10^5[/tex] petabytes.

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The characteristics of a frequency table in statistics are:

(A) Data is tabulated in a frequency table to show how frequently each score occurs.

(B) A frequency table can be used to study the data and its behavior.

(C) Based on frequency, a frequency table divides the data into various groups.

A frequency distribution is a list or table that displays the frequency of different outcomes in a sample. It can also be a graph.

The frequency or count of the values as well as their occurrences within a specific group or interval are shown in the frequency table.

If there are groups, the frequency of occurrence should be in a group of 5.

The number of tallies should be able to be equated to the sum of frequencies, which is determined by the sample size.

The statements that are the characteristics of a frequency table are (A), (B), and (D).

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We were told that Desiree has $256 in her savings account she adds X dollars in her savings account on Friday. Thus, the expression for the amount of money in Desiree's account is

256 + x

if x equals $50.25, then the amount of money in her account is expressed as

256 + 50.25

= $306.25

Answer:

12i

Step-by-step explanation:

√-144 = 12i

12i × 12i = -144

Answer:

7 hours

Step-by-step explanation:

Subtract 30 minutes from 4:30 because he had half an hour break at lunch.

9:00 AM to 4:00 PM = 7 Hours

Answer: 21 hours is the answer.

Step-by-step explanation:

9:00 AM to 4:30 PM is 7 hours and 30 minutes so If he gets a half hour off each day for lunch that would leave 7 hours therefore, he works 7 hours a day which would mean: 7 times 3 = 21 hours so he works 21 hours each day.

Answer:

jhikuk

Step-by-step explanation:

Answer: 12:29

Step-by-step explanation: 12 apples to 29 orange trees. no need to simplify. 29 is a prime number.

The area after 15 years is 517.40km²

It is the quantity that expresses the content of the region on the plane or on a curved surface. Area is the size of the surface that can be calculated. It is the amount of space occupied by a two-dimensional figure. It is the quantity that measures the unit of squares. We get the area of the rectangle by multiplying length and width. The area of the figure is counted by the area of unit squares. It determines the area of the number of common shapes, including rectangle, trapezoid, circle, sector, ellipse etc.

y = A(1 - r)t

where,

A = initial area

r = rate

y = 1600(1 - 0.0725)

y = 1600[tex](0.9275)^{t}[/tex]

here we put t=15, then we get

y=1600[tex](0.9275)^{15}[/tex]

y=517.40 km²

Therefore, the area after 15 years is 517.40km²

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"https://www.wyzant.com/resources/answers/224267/a_certain_forest_covers_an_area_of_1600_km2_suppose_that_each_year_this_area_decreases_by_7_25_what_will_the_area_be_after_15_years"

The equation of the least squares regression line for the data set is: A. y = .81x + 12.25

A regression line simply refers to a statistical line that best describes the behavior of a data set. This ultimately implies that, a regression line refers to a line which best fits a set of data.

In this scenario, x₁ would be plotted on the x-axis of the scatter plot while y₁ would be plotted on the y-axis of the scatter plot.

By critically observing the scatter plot (see attachment) which models the data in the given table, we can reasonably and logically deduce that the equation for the line of best fit is given by:

y = 0.81x + 12.25

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Answer:

B

Step-by-step explanation:

Always start on the x axis and then the y axis.

Considering the volume of the pyramid, the length x is given as follows:

x = 6 cm.

The volume of a pyramid is given by the multiplication of one third of the base area Ab and the height h, as follows:

V = 1/3 x Ab x h.

In the context of this problem, the base is a right triangle with two equal sides x, hence the base area is:

Ab = 0.5(x)(x) = 0.5x².

The height is given by segment AD, hence:

AD = 2AB = 2x.

The volume is of 72 cm³, hence we can solve for the length x as follows:

V = 1/3 x Ab x h.

72 = 1/3(0.5x²)(2x)

x³ = 72 x 3

x³ = 216

x = cubic root of 216

x = 6.

Hence the missing side length is of x = 6 cm.

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Answer:

n^3 + 15v^2 + 64

Step-by-step explanation:

Hope this helps

Answer:

n^3 + 15v^2 + 64

Step-by-step explanation:

This is the correct answer I believe

The area of the parallelogram ABCD is 15 square units and is calculated using the distance formula and parallelogram area formula.

As per the question statement, coordinates of points A, B, C, D and E are given as follow:

A(-2,3), B(4,0), C(-3, 1), D(-5, 2) and E(-3, 1).

The parallelogram's area is the product of its base and height.

Base can be calculated using distance formula in points A and E

AE = √[(-3+2)^2 + (1-3)^2]

AE = √[(-1)^2 + (-2)^2]

AE = √[1+4]

AE = √5 units

Height can be calculated using the distance formula in points A and B

AB = √[(4+2)^2 + (0-3)^2]

AB = √[(6)^2 + (-3)^2]
AB = √[36 + 9]

AB = √45 units

Hence area of parallelogram = AB * AE

Area = √45*√5

Area = √225

Area = 15 sq units.

Hence, The area of the parallelogram ABCD is 15 square units and is calculated using the distance formula and parallelogram area formula.

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Answer:

angle X =80°

angle V = 30°

Answer:

8 is a rational number, an integer, and a whole number.

Step-by-step explanation:

rational numbers are numbers that repeat with a definite pattern, and/or terminate (finite amount of decimal points)

Answer: intager and whole number

Step-by-step explanation:

Ratianal number =Any number that can be written as a ratio (or fraction) of two integers

Intager=An integer is a whole number (not a fractional number) that can be positive, negative, or zero.

Whole number=The numbers that include natural numbers and zero. Not a fraction or decimal

Using the Pythagorean Theorem, it is found that using a straight line distance, he could have jogged 32 meters.

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, stating that the hypotenuse squared is the sum of the legs squared, according to the equation presented as follows:

[tex]h^2 = l_1^2 + l_2^2[/tex]

In the context of this problem, the sides of the triangle are given as follows:

Hence the distance that he could have jogged is the hypotenuse of the right triangle, calculated as follows:

d² = 20² + 25²

d = sqrt(20² + 25²)

d = 32 meters.

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Answer:

55.00

Step-by-step explanation:

basically I subtracted 84.25 from 75.49 and I got 8.76. So I too kthat answer and subtracted 8.76 from 63.76. So the answer is 55.00

78/ 109 is approximately equal to 0.71559

you can check your calculator to know the decimal form.

hope it's helpful!

Answer(0,-1)(1,2)

the line passes through thees two points

Step-by-step explanation:

i hope this helped

have a great day ^^

The division problem where a divisor is a whole number and the dividend is a decimal is:

$20.36 are distributed equally among 4 men. How much money will each person get?

Each person will get $5.09.

The divisor of the division problem must be a whole number and the dividend is decimal.

Let's consider the dividend to be 20.36 and the divisor to be 4 which is a whole number.

When we divide 20.36 by 4 we obtain,

20.36/4 = 5.09

Therefore, the quotient is 5.09 which is greater than 5 but less than 6.

The problem:

$20.36 are distributed equally among 4 men. How much money will each person get?

Therefore, each person will get $5.09 each.

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|CD| is parallel to |AB|

Also;

ANSWERS:

(a) The measured angle ACD is 65degrees

(b) The measured angle DCB is 35degrees

(c) The measured angle ACB is 30 degrees

When the salesman earns 40% commission on all the merchandise that she sells last month she sold $500 worth of merchandise, the commission is $200.

Commission simply means the percentage of the sales that is determined based on the rate that's given.

In this case, the commission will be:

= Percentage × Sales

= 40% × $500

= 0.4 × $500

= $200

The commission is $200

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1. Rolle's first two conditions are not satisfied. Rolle's theorem is not applicable.

2. lim a sin x - sin 2x/[tex]tan^{3} x[/tex] = lim a sin x cos x / [tex]tan^{3} x[/tex] = sin x(a - 2cos x)

= Lim x-0 Sin x [tex]\left[\begin{array}{ccc}a - 21 (1 - x^{2} /2! + ..)\end{array}\right] /tan^{3} x[/tex] = Lim x - 0 sin x [a - 2) + [tex]x^{2}[/tex] ( 1 + higher power of x) ] / [tex]tan^{3} x[/tex]

Hence for the given limit to exist a − 2 = 0 ⇒a = 2, and the corresponding limit is 1.

Rolle's theorem states and iii if f(a) = f(b) then let us assume that there exists at least one value of x, and this value is c. The theorem is that if a function f is continuous on a closed interval, it must be continuous at that particular point in order for the function to be differentiable at any point x = a in its domain, but vice versa. Indicates that it is not always true. For continuity, we need to check the left and right limits and the value of the function at the point x = a.

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​

The rational number that represents a drop of 4/14 is given by:

-4/14.

Rational numbers can be either positive or negative, and in the context of this problem, we have that:

Hence the negative rational number that represents a drop of 4/14 is given by:

-4/14.

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Answer:

t = -1

Step-by-step explanation:

  Distribute (-2) to each term of (t + 4) in the RHS

10t + 4 - 2t = 2 - 2(t + 4)

10t - 2t + 4 = 2 - 2 *t - 2*4

10t - 2t + 4 = 2 - 8 - 2t

Combine the like terms in the LHS and RHS,

        8t + 4 = - 6 - 2t

Subtract 4 from both sides,

        8t      = -6 - 2t - 4

            8t  = -10 - 2t

Add 2t to both sides,

         8t + 2t = -10

           10t    = -10

                 t = -10 ÷ 10

                 [tex]\sf \boxed{t =-1}[/tex]