Simplify the expression:
-5(1 + 3d)
Submit

Answer:

$0.95 for 6

Step-by-step explanation:

24 students received an A on the test.

What is the system of linear equations?

A system of linear equations is a group of one or more linear equations that can be solved by using a simultaneous equation or elimination method. Therefore, by using the substitution method and writing the solution of the system in terms of coordinate point (x, y) = (-1, 1).

If 80% of 120 students passed the test, the number of students who passed is 120 * 80% = 96 students.

If (1)/(4) of these students received an A on the test, the number of students who received an A is (1)/(4) * 96 = 24 students.

Therefore, 24 students received an A on the test.

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Answer: The answer is 3(x+1)=6

Step-by-step explanation I just took the test

Answer:

3(x+1)=6

Step-by-step explanation:

K12 test verified

De acuerdo con la información, podemos inferir que los número enteros entre -3 y 6 son: -3, -2, -1, 0, 1.

Para seleccionar los números enteros en este segmento debemos considerar que los números enteros son aquellos que no tienen decimales ni fracciones.

Por lo anterior, debemos identificar cuáles números hacen parte del segmento entre -3 y 6 y posteriormente debemos identificar los números que no tengan decimales ni fracciones. En este caso sería escoger 5 números cualquiera dentro de este segmento.

Translation

Based on the information, we can infer that the integers between -3 and 6 are: -3, -2, -1, 0, 1.

To select the whole numbers in this segment we must consider that the whole numbers are those that do not have decimals or fractions.

Therefore, we must identify which numbers are part of the segment between -3 and 6 and then we must identify the numbers that do not have decimals or fractions. In this case it would be choosing any 5 numbers within this segment.

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Answer:

319in

Step-by-step explanation:

cut them by sections

3×14=42 is the top of the shape

then the middle rectangle, add 24 with 5, it's 29

8×29=232

then the last one which is the bottom right rectangle

9×5=45

after add 42+232+45 and that's your answer

The area of the Composite figure is 319 sq units.

A two-dimensional figure made up of basic two-dimensional shapes such as triangles, rectangles, circles, semicircles, etc

Given that a Composite figure with sides measurements

We will calculate the area by diving the figure in three rectangles  

Area of a rectangle = length * width

Therefore, 9*5 + 8*29 + 3*14 = 45 + 232 + 42 = 319 sq units

Hence, The area of the Composite figure is 319 sq units.

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Answer:

3.6.

Step-by-step explanation:

15% = 15/100 = 0.15

so the answer is 0.15 * 24

= 3.6

Answer:

3.60

Step-by-step explanation:

Note:

Of = Multiply

15% can also be written as .15 as decimal

Solve:

.15 × 24 = 3.60

 Or we can solve like this:

\(\frac{24}{x}=\frac{100\%}{15\%}\)

\(\frac{x}{24}=\frac{15}{100}\)

\(\Rightarrow x=3.6\)

Therefore, 15% of  £24 is 3.60

~Lenvy~

Answer:

a.)

Step-by-step explanation:

because 3 to the left is a negative and 2 units up means positive

38.1372ft2

Step-by-step explanation:

lxw 6x4

\( \frac{1}{2} \pi \: {r}^{2} \)

add both together, your radius is half your length so half of 6ft is 3 for your radius

Answer:

Step-by-step exp

đáp áp paánc  là

Answer:

-Congruent triangles and their relationships.

-Similar triangles and their relationships

-SSS, ASA, SAS criterion of similarity

Step-by-step explanation:

Answer:

The slope of the line is -1.

Step-by-step explanation:

To find the slope of any line given two points, we can use the following slope formula:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

We can see that we have the two points: (1,4) and (3,2).

Let's let (1,4) be (x₁, y₁) and let's let (3,2) be (x₂, y₂). So, substitute:

\(m=\frac{2-4}{3-1}\)

Subtract:

\(m=-2/2\)

Divide:

\(m=-1\)

So, the slope of our line is -1.

Since it's negative, this tells us that is is going downwards.

And we're done!

Marianne's total candle sales for the week rounded to the nearest

cent is $6539.13.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

From the given information, Let Marianne's total sale be $'x'.

Therefore, $376 is 5.75% of 'x'. which can be numerically expressed as,

(5.75/100)×x = 376.

0.0575x = 376.

x = $6539.13

We also know to obtain percentage change we'll diving the net amount change by the original amount and multiply it by 100%.

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The weight of the last child is 36 lbs.

The average weight of the three children is 60 lbs. The total weight will be:

= 60 × 3

= 180 lbs.

When another child is added, the weight is 54lb. The total weight will be:

= 54 × 4

= 216 lbs

The weight of the last child will be:

= 216 - 180

= 36 lbs.

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Answer:

1)  See attachment.

2a)  Initial Amount = 3600.
      Growth/Decay factor = ³/₂.

2b)  Growth function.

\(\textsf{3)}\;\;\; f(x)=1*2^x\)

4)  69 lions.

Step-by-step explanation:

General form of an exponential function

\(\boxed{y=ab^x}\)

where:

If b > 1 then it is an increasing function.

If 0 < b < 1 then it is a decreasing function.

Given function:

\(f(x)=\left(\dfrac{1}{2}\right)^x\)

Complete the table of ordered pairs by substituting the values of x into the given function:

\(\begin{array}{|c|c|}\cline{1-2}x&y\\\cline{1-2}-3&8\\\cline{1-2}-2&4\\\cline{1-2}-1&2\\\cline{1-2}0&1\\\cline{1-2}1&0.5\\ \cline{1-2}\end{array}\)

Plot the ordered pairs on the given coordinate plane (see attached graph) and draw a curve through them.

This exponential function has a horizonal asymptote at y = 0.  

As the value of x approaches infinity, the function gets closer and closer to y = 0 (x-axis) but doesn't actually touch it.

Given exponential function:

\(f(x)=3600\left(\dfrac{3}{2}\right)^x\)

Part 2a

To find the initial amount "a" and growth/decay factor "b", simply compare the given function with the general exponential function.  

Therefore:

Part 2b

As  b = ³/₂ and ³/₂ > 1, this is a growth function (increasing).

"a" is the initial value (y-intercept) of an exponential function.

The y-intercept of a function is the y-value when x = 0.  

Therefore, from inspection of the given table, the y-intercept of the given function is 1.

Therefore, a = 1.

"b" is the base (growth/decay factor) of an exponential function.

To find the base (growth/decay factor) of the given function, divide a value of y by its preceding value of y:

\(\implies b=\dfrac{4}{2}=\dfrac{2}{1}=\dfrac{1}{\frac{1}{2}}=...=2\)

Therefore, b = 2.

So the exponential function for the given table is:

\(f(x)=\boxed{1}*\boxed{2}\;^x\)

If the population of lions started at 80, then the initial value "a" of the exponential function is 80.

If the population has been decreasing by 3.5% per year, then the population each year is 96.5% of the previous year since:

Therefore, the base "b" of the exponential function is 0.965 (in decimal form).

Substitute the found values of a and b into the exponential function formula to create an exponential function for the given scenario:

\(\boxed{f(t)=80(0.965)^t}\)

where:

To find how many lions will there be in four years, substitute t = 4 into the found exponential equation:

\(\implies f(4)=80(0.965)^4=69.37440005\)

Therefore, there will be 69 lions in four years.

Answer:

hexagonal prism

Answer:

Yup, 27 is correct!

Step-by-step explanation:

5(7)-8

= 35 - 8

= 27

Answer:

504 = 12 x 42

Step-by-step explanation:

The highest common factor of 12 and 42 is 6.

So, the numbers are 12 and 42.

You're welcome! :)

Area of the scale drawing is 10 square inches. Area of the actual deck would be 160 square feet.

Area of the actual deck would be 16 times the area of the scale drawing.

Area of a two dimensional shape is the total region which is bounded by the object's shape.

Given scale drawing can be made into two squares.

One with a side length of 1 inch and other with side length of 3 inches.

Area of a square with side length 'a' = a²

Area of the given scale drawing = (1 inch)² + (3 inches)²

                                                     = 1 inch² + 9 inches²

                                                     = 10 inches²

If the scale is 1 inch = 4 feet,

Area of the actual deck = (1 × 4 feet)² + (3 × 4 feet)²

                                       = 4² [(1 feet)² + (3 feet)²]

                                       = 4² (10)

                                       = 160 feet²

Area of the actual deck = 160 feet²

                                        = 16 (Area of the scale drawing)

If the scale is 1 inch = k feet,

Area of the actual deck = k² ( Area of scale drawing)

                                        = 10 k² square feet

Hence the area of the actual deck would be 10k² if the scale is 1 inch = k feet.

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The slope of the new road is zero.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points from the Graph (5, 0) and (5, 4).

Slope of a line = m = tanθ

where θ is the angle made by the line with the x−axis.

For a line parallel to y−axis ,θ= π/2.

​

∴m = tan π/2 = undefined

The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.

An horizontal line now has zero slope.

The new road has a zero slope as a result.

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Answer:

13.) 237 millimeters

14.) 87.5 feet (87 feet 6 inches)

15.) 28

16.) 121 degrees

Step-by-step explanation:

16.) The "arc length" formula is s = rФ, where Ф represents the central angle in radians (not degrees).

Here r = 18 ft and s = 38 ft, and so:

                                     38 ft

s = rФ becomes Ф = ------------ = 2.111 radians

                                     18 ft

which, in degrees, is:

2.111 rad      180 deg

------------- * --------------- = 121 degrees, to the nearest degree

  1            3.142

in a system of two equations with eight unknowns in echelon form, the maximum number of leading variables is 2.

In echelon form, the system of equations has undergone row operations to bring it into a triangular form. In this form, the leading variables are the variables associated with the non-zero entries in the leftmost column of each row. These leading variables typically correspond to the pivot positions in the matrix.

Since the system of equations is in echelon form, each row either has a leading variable or consists entirely of zeros. The number of leading variables corresponds to the number of non-zero rows in the echelon form.

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One of the options is c=d because matching angles are made and the same corners are congruent when a line joins two parallel lines.

In geometry, parallel lines are coplanar, straight lines that don't intersect anywhere. Parallel planes are those in the same three-dimensional space that never cross one another. Curves do not touch or intersect when they are parallel to one another and keep a predetermined minimum distance between them. Lines in a plane are considered to be parallel if their spacing is constant. Objects cannot cross parallel lines. Perpendicular lines are those that intersect at a precise angle of 90 degrees.

Due to vertical angles, A = d is also a possible answer. The outcome is that b+d=180 since b+c=180 and c=d, and b+d=180 as a result. Therefore, the answer is B, C, E, where a=d, c=d, and b+d=180.

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Answer:

Even if you achieve practical significance, it is possible to construct some tests that will not result in statistical significance (for instance if you, on purpose or by accident, use a sample in which you know there is no relationship), so practical significance does not imply statistical significance in every study

Answer: GX= 13

mABX= 22

Step-by-step explanation:

EDGE

Answer:

GX= 13  

mABX= 22

Step-by-step explanation:

#edge2021

The percent of attendance figures that differs from the mean by 1500 persons or more is 6.68%.

From the question above, Mean μ = 10,000

Standard Deviation σ = 1,000

The formula for z-score is :

z = (x-μ) / σ

Where, x = observation

z = z-score

Mean μ = 10,000

Standard Deviation σ = 1,000

From the above formula, let's calculate z-score for x = 11,500

z = (x-μ) / σ

z = (11,500 - 10,000) / 1000

z = 1.5

Now, find the probability of attendance figures that differs from the mean by 1500 persons or more.

P(z ≥ 1.5) = 0.0668

To find the percentage, we need to multiply the above value by 100.

P(z ≥ 1.5) × 100 = 0.0668 × 100 = 6.68%

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Answer:

\(-16\)

Step-by-step explanation:

\(-3 \cdot (7+(-3)^2) \div 3\)

To simplify this expression, use the order of operations (PEMDAS):

P arentheses

E xponents

M ultiplication

D ivision

A ddition

S ubtraction

First, simplify what is in the parentheses.

\(7 + (-3)^2\)

Remember that any number squared ( \(\Box ^2\) ) is positive, so:

\((-3)^2 = 9\)

Therefore,

\(7 + (-3)^2\)

\(= 7 + 9\)

\(= 16\)

We can now replace the parentheses in the original expression with 16.

\(-3 \cdot (7+(-3)^2) \div 3\)

\(= -3(16) \div 3\)

Finally, simplify by multiplying and dividing.

\(-3(16) \div 3\)

\(= -48 \div 3\)

\(= -16\)