a mapping (Look at #6 to see whating" is). (4 pts)14. Evaluate the expression below if: (3 pts)a = -8, b= 17, and c = 21a? -(b + c)5 6-7, determine if it's a function.(1 pt)

Answer:

I believe the answer is C

Step-by-step explanation:

Answer:

A vertical line at a specific x-value of the domain will intersect the graph of a relation at each y-value in the range that

the x-value is mapped to by the relation. If even one such line has more than one intersection, then one input has two

or more outputs and the relation is not a function.

Happy to Help And brainliest please... I do this all the times sense I'm a honors student, let me know if you need help!

Step-by-step explanation:

The surface area of the square pyramid is 89.4 ft² as the lateral area is  80.4 ft².

The surface area of a square pyramid is calculated by the formula

SA = B + 4ℓ, where B is the area of the base and ℓ is the lateral area.

In this case, the base area is 9 square feet (3 ft x 3 ft). The lateral area is 4ℓ, which is calculated by multiplying the slant height by the perimeter of the base.

The slant height of a square pyramid is calculated by the formula

s = √(h² + (a/2)²), where h is the height of the pyramid and a is the length of one side of the base.

In this case, the height is 3 ft and the length of one side of the base is 3 ft. Therefore, the slant height is

s = √(3² + (3/2)²)

= √(9 + 2.25)

= √11.25

= 3.35 ft.

The perimeter of the base is 6 ft (3 ft x 2). Therefore, the lateral area is

4ℓ = 4 x 3.35 ft x 6 ft

= 80.4 ft².

The surface area of the square pyramid is then

SA = B + 4ℓ

= 9 ft² + 80.4 ft²

= 89.4 ft².

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Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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If the equation of the parabola is given by y = \(ax^{2}\) then the dilation of this parabola is a.

According to the question,

We have the following information:

We have a parabola and we have to know what is the dilation for a given parabola.

We know that a parabola is almost U-shaped curve and the equation of the parabola is given by the following formula:

y = \(ax^{2}\)

Now, a in this case stands for the dilation of the parabola as it is responsible for widening or narrowing the curve of the parabola.

Hence, if the equation of the parabola is given by y = \(ax^{2}\) then the dilation of this parabola is a.

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Answer:

A+S=22

A=S/2+4

Multiply second equation by 2 and rearrange.

2A-S=8

Add equations 1 and 3.

3A=30

A=10

Substitute for A in either of the first 2 equations to get

S=12

Step-by-step explanation:

The nurse should administer 4 Lasix 20 mg tablets to the patient to achieve the prescribed dose of 80 mg.

To determine the number of Lasix 20 mg tablets that should be administered to the patient, we need to calculate how many tablets are equivalent to the prescribed dose of 80 mg.

Given that each Lasix tablet contains 20 mg of the medication, we can divide the prescribed dose (80 mg) by the dosage strength of each tablet (20 mg) to find the number of tablets needed.

Number of tablets = Prescribed dose / Dosage strength per tablet

Number of tablets = 80 mg / 20 mg

Number of tablets = 4 tablets

Therefore, the nurse should administer 4 Lasix 20 mg tablets to the patient to achieve the prescribed dose of 80 mg.

It is important to note that this calculation assumes that the Lasix tablets can be divided or split if necessary. However, it is crucial to follow the specific instructions provided by the prescribing physician or consult with a pharmacist if there are any concerns about the appropriate administration of the medication.

Additionally, it is important to consider any additional instructions, such as the frequency and timing of administration, as specified by the physician's order.

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The following can be determined about the slopes and y-intercepts of the system of equations: A. The slopes are different, and the y-intercepts are different.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided above, we have the following system of equations in standard form:

4x + 2y = −2

x − 3y = 24

By rewriting system of equations in slope-intercept form, we have:

y = -2x - 1  ⇒ m = -2, b = -1

y = x/3 - 8  ⇒ m = 1/3, b = -8

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There are 3150 distinct ways to arrange the marbles in a row.

What is Combination ?

In mathematics, combination is a way of selecting a group of objects from a larger set, without regard to the order in which the objects are selected. Combinations are also sometimes called "unordered selections" or "combinatorial subsets".

To solve this problem, we can use the formula for permutations with repetition. We have a total of 10 marbles, but some of them are repeated. Specifically, we have:

3 yellow marbles (repeated)

3 green marbles (repeated)

2 red marbles (repeated)

2 blue marbles (repeated)

So the number of distinct ways to arrange these marbles in a row is:

(10!) ÷ (3! x 3! x 2! x 2!)

The factorials in the denominator account for the repetition of each color. We divide by them to eliminate the overcounting that would occur if all the marbles were unique.

Simplifying this expression, we get:

(10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)÷(3 x 2 x 1 x 3 x 2 x 1 x 2 x 1 x 1 x 1)

which equals:

(10 x 9 x 8 x 7 x 6 x 5 x 4) ÷ (3 x 3 x 2 x 2)

Simplifying further, we get:

(10 x 3 x 3 x 3 x 2 x 2 x 7 x 5) ÷ (3 x 3 x 2 x 2)

which equals:

(10 x 3 x 3 x 7 x 5)

which finally equals:

3150

Therefore, there are 3150 distinct ways to arrange the marbles in a row.

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The vertices are A, B, C, D, E, F. The edges are AB, BC, CA, ED, DF, FE, BD, CF, and AE and the faces are DBCF, DEAB, EFCA, EDF, and ABC.

The three-dimensional shape's vertices are the points at which the edges converge. Edges are the lines where two faces converge, while faces are flat surfaces.

Vertices are the locations where the sides of a polyhedron constructed of line segments connect.

According to the definition given above, the vertices are A, B, C, D, E, and F.

Line segments from which the formation of a polyhedron takes place are known as edges.

Hence in the given figure, AB, BC, CA, ED, DF, FE, BD, CF, and AE are the edges.

Two-dimensional surfaces in a three-dimensional figure are known as faces.

In the given prism, DBCF, DEAB, EFCA, EDF, and ABC are the faces of the prism.

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Answer:

-1x+10

Step-by-step explanation:

The equation that shows how the number of fluid ounces of nectar remaining (y) depends on the number of days since Logan filled it (x) is:

y = 10 - x.

The relationship between the number of fluid ounces of nectar remaining (y) and the number of days since Logan filled the hummingbird feeder (x) can be represented using a linear equation.

Initially, when Logan fills the hummingbird feeder to its capacity of 10 fluid ounces, the nectar remaining is 10 fluid ounces.

As each day passes, 1 fluid ounce of nectar is released.

Therefore, the equation that shows how the number of fluid ounces of nectar remaining (y) depends on the number of days since Logan filled it (x) is:  y = 10 - x.

Here's an explanation of each component of the equation:

y: This represents the number of fluid ounces of nectar remaining.

As the days pass, this value will decrease as nectar is released.

10: This is the initial amount of nectar in the feeder when Logan fills it to its capacity of 10 fluid ounces.

x: This represents the number of days that have passed since Logan filled the feeder.

Each day, the amount of nectar decreases by 1 fluid ounce, hence the subtraction of "x."

This equation forms a linear relationship where the nectar remaining decreases by 1 fluid ounce for each day that passes.

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Answer:

∠ NSR = 113°

Step-by-step explanation:

the chord- chord angle NSR is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

∠ NSR = \(\frac{1}{2}\) ( NR + QP) = \(\frac{1}{2}\) (176 + 50)° = \(\frac{1}{2}\) × 226° = 113°

Answer:

30+8[6^2- (2^2+5)]

30+8(36-(4+5))

30+8(36-9)

30+8 x 27

20+216

246

Step-by-step explanation:

evaluate 2^2 and 6^2 first

add (4+5)

then calculate (36-9)

then multiply (8 x 27)

then add (30+216)

solved

:)

hope this helped

Answer:

length l = 32.25 m

width w = 8223.75 m

height h = 12.5 m

diagonal d = 8223.82273 m

total surface area Stot = 736831.875 m2

lateral surface area Slat = 206400 m2

top surface area Stop = 265215.938 m2

bottom surface area Sbot = 265215.938 m2

volume V = 3315199.22 m3

Step-by-step explanation:

Answer:

31.9 ÷ 4 = 7.975

492.6 ÷ 48 = 10.2625

9.92 ÷ 8 =  1.24

207.4 ÷ 61 = 3.4

To solve this problem we can write a general equatio so:

whre y is the high and x are the number of bounces so for 4 will be:

Answer:

the value of a - b is 4.

Step-by-step explanation:

We have been given the following two equations:

a + b = 10 ------------(1)

a² - b² = 40 -------(2)

We can factor the left-hand side of equation (2) using the difference of squares identity:

(a + b)(a - b) = 40

Substituting equation (1) into this equation, we get:

10(a - b) = 40

Dividing both sides by 10, we get:

a - b = 4

Therefore, the value of a - b is 4.

Step-by-step explanation:

if I understand this correctly :

a + b = 10

a² - b² = 40

(a² - b²) = (a + b)(a - b) = 40

10(a - b) = 40

(a - b) = 4

Answer:

Step-by-step explanation:

(3- 7)/(4-5)= -4/-1 = 4/1= 4

y - 3 =4(x - 3)

y - 3 = 4x - 12

y = 4x - 9

Answer:

the GCF is 5

Step-by-step explanation:

Answer: = 4x − 5x − 1 Hope this helped

Step-by-step explanation:

Given:

Distance traveled by sprinter = 200 m

Time taken by sprinter = 20.03 seconds

To find:

The sprinter's average speed rounded to 4 sf.

Solution:

We know that,

\(\text{Average speed}=\dfrac{\text{Distance}}{\text{Time}}\)

It is given that, the sprinter travels a distance of 200 m in a time of 20.03 seconds.

\(\text{Average speed}=\dfrac{200}{20.03}\)

\(\text{Average speed}=9.985022466\)

\(\text{Average speed}\approx 9.985\)

Therefore, the average speed of the sprinter is 9.985 m/sec.

Answer:

9.985

Step-by-step explanation:

Step-by-step explanation:

In order to solve this linear equation, we need to group all the variable terms on one side, and all the constant terms on one side, and all the constants on the other side of the equation.

In the example: 7w-6=3w+18

Term -6 will be moved right.

Term 3w will be moved left.

Notice that a term changes sign when it moves from one side to another side of the equation.

(7w - 6) + (6 - 3w) = (3w + 18) + (6 - 3w)

Simple numerical terms (6 - 3w) are commonly written last (-3w + 6)

Therefore, your answer is 6.

W = 6

The absolute value function for this problem is given as follows:

y = |x - 4| - 6.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

The coordinates of the vertex of the function are given as follows:

(4, -6).

The slope of 1 determines the leading coefficient a as follows:

a = 1.

Hence the function is given as follows:

y = |x - 4| - 6.

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Answer:

900,000,000

Step-by-step explanation:

923,187,456 is closer to 900,000,000 than 1,000,000,000 when using the greatest integer rule.

The width of the rectangular prism that has a volume of 440 cubic centimeters as shown in the image is: 5 cm

Recall;

Volume of rectangular prism is: \(V = length \times width \times height\)

From the image given, the dimension of the rectangular prism are:

Plug in the values into the volume formula:

\(x(x-3)(x+3) = 440\\\\\)

Find the value of x

\(x(x^2 - 9) = 440\\\\x^3 - 9x = 440\\\\x^3 - 9x - 440 = 0\)

Factorize

\((x - 8)(x^2 + 8x + 55) = 0\)

We can determine the value of x using one of the factors that will give us a positive value.

Thus:

x - 8 = 0

x = 0 + 8

x = 8

width(w) = x - 3

width (w) = 8 - 3

width (w) = 5 cm

Therefore, the width of the rectangular prism as shown in the image is: 5 cm

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A has fixed one time fee of $12 and if you go to it say "m" months you pay $28 for each month, so your total cost at A is really 12 + 28m.

B has a fixed one time fee of $20 and if you go to it "m" months you pay $26 for each month, so you total cost at B is 20 + 26m.

how many months for the cost to be the same?

\(\stackrel{A}{12+28m}=\stackrel{B}{20+26m}\implies 12+2m=20\implies 2m=8\implies m=\cfrac{8}{2}\implies m=4\)

well, since the cost for both is the same, we can just get A's, knowing that B is the same

\(12+28(4)\implies 12+112\implies 124\)