Select the correct answer from the drop-down menu.

Shapes I and II are

Answer:

= 8p

Step-by-step explanation:

Steps

2p · 4

Remove parentheses: (a) = a

= 2p · 4

Multiply the numbers: 2 · 4 = 8

= 8p

Answer:

domain : - ∞ < x < 1

Step-by-step explanation:

the function is increasing on the upward part of the curve. that is

from negative infinity to the vertex at (1, 3 )

domain : - ∞ < x < 1

The mean number of correct answers will be equal to 385.

The mean is defined as the ratio of the sum of the all the numbers given by the total count of the numbers.

The total questions are 770 and consist of the true and false.

The mean of the numbers will be given as:-

Mean   =   770  /   2  =   385

Therefore mean the number of correct answers will be equal to 385.

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Answer:

4

Step-by-step explanation:

Lets plug these points in:

\(\frac{((-2)-10)}{(2-5)} =\frac{-12}{-3} =4\)

The estimated sum of 7 83/84 is 8 to the nearest whole number.

Mixed fractions are fraction that has a whole number attached to an improper fraction. A mixed fraction can be added by first adding the real whole numbers together, then adding their improper fraction counterparts with it.

Also, we can add two mixed fractions together by first converting all the mixed fractions to improper fractions before adding them together.

Using the first process:

= 4 5/12 + 3 8/14

The whole number are 4 and 3, adding those two together, we have:

= 7 (5/12 + 8/14)

The L.C.M of 12 and 14 is 84.

= 7( (7×5)+ (6*8) )  /84

= 7 (35+ 48/84)

= 7 (83/84)

To decimal, we get 7.988. Therefore, the estimated sum of 7 83/84 is 8 to the nearest whole number.

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Answer:

a)

product A = 12O units

Product B = 220 units

product C = 280 units

b) $9000  = max/largest profit

c) No resource left

Step-by-step explanation:

Available hours

Dept. I = 1020

Dept. II = 1140

Dept. III = 960

Total available hours = 3120 hours

products produced by each department

                  product A         Product B        Product C

Dept. I            2                           1                    2

Dept. II           3                           1                    2

Dept. III          2                           2                     1

profits             $18                      $12                 $15

Determine how many units of each product to be produced to attain maximum profit

let each product be represented as : x , y , z

2x + y + 2z  = 1020 -------- ( department  A ) --- 1

3x + y + 2z  = 1140   -------- ( department B ) --- 2

2x + 2y + z = 960    --------- ( department c ) ---- 3

max profit : 18 x + 12y + 15 y

solving  equation 1 from  2

x = 120

solve equation 2 from 3 simultaneously

x - y + z = 180

-y + z = 60

solve equation 1 and 3

-y + z = 60

∴ z =  60 + y

back to equation 1

2( 120 ) + y + 2( 60 + y ) = 1020

240 + y + 120 + 2y = 1020

∴ y = (1020 - 360 )/ 3 = 220

therefore ; z = 60 + 220  = 280

amount of each product to be produced to gain maximum profit

product A = 12O units

Product B = 220 units

product C = 280 units

ii) The largest profit

18 ( 120 ) + 12(220) + 15 ( 280 ) =  $9000

Answer: 2) 2/7,  11/72   3)  2 2/5 licorice pieces

Step-by-step explanation:

2)

A fraction of another fraction is essentially the two fractions multiplied.

Therefore, 2/3 of 3/7 = (2*3)/(3*7) = 6/21 = 2/7

1/6 of 11/12 = (1*11)/(6*12) = 11/72

3) If the licorice is divided equally, that means each person would get 12/5 of licorice pieces. 12/5 as a mixed number would become 2 2/5.

Answer:

We will get 12 divided by 5 which it equals to 1.5 licornie will each person get.

Step-by-step explanation:

12/5 =2.4 2 and 1/3 of it

Answer:

A.

Step-by-step explanation:

The vertical line test is a way of finding out if a relation is a function.

Graph the relation.

Then imagine a vertical line moving from left to right over the graph of the relation.

If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.

This function passes the vertical test since it never intersects more than one point on the vertical line at a time.

Answer: A.

Answer:

x = 10/243

Step-by-step explanation:

3^5x = 10

243x = 10

Divide 243 on both sides

10/243

Answer:

perimeter = (8x + 3mm + 5mm) ×2

area = (8x + 3mm) × 5mm

Answer:

Perimeter: 48mm

Area: 95mm

Step-by-step explanation:

Perimeter=2(l+w)

2((8x+3)+5)

-8x=2(3+5)

-8x=2(8)

-8x=16

x=2

2((8(2)+3)+5)= 48

So the perimeter is 48mm

Area=wl

l=19mm

w=5mm

19*5=95mm

So the area is 95mm

Answer:

Triangle

Step-by-step explanation:

It has three side unlike the others can't have three sides

Answer:

1:3 (Boys : Girls)

Step-by-step explanation:

8/24 = 1/3  (divide by 8)

Answer: 1:3

Step-by-step explanation:

1:3

Answer:

1 up 2 right or y+1 and x+2

Step-by-step explanation:

Answer:

The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:

$442 * 0.9 = $397.80

The selling price of the same necklace at the competitor's store after 34% and 14% discount is:

$527 * 0.66 * 0.86 = $247.08

So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:

$397.80 - $247.08 = $150.72

To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:

($150.72 / $442) * 100 = 34.11%

Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.

Step-by-step explanation:

Answer:

x>0

Step-by-step explanation:

We want to solve for x in the inequality:

4^x > 1

ln(4^x)=xln(4) > ln(1)=0

x > 0/ln(4) =0

x>0

So for any value of x greater than 0, you will have 4^x be greater than 1.

The number 100 would land in column 2

Given that we have the array of numbers

The length of each row in the array is 7

Dividing 100 by 7, we have

100/7 = 14 Remainder 2

This means that

Column = 2

In (a), we have

100/7 = 14 Remainder 2

This means that

Row = 14

Here, we have

The length of each row in the array is 6

Dividing 100 by 6, we have

100/6 = 16 Remainder 3

So, the location of 100 in rows of 6 numbers is row 16 and column 3

Let the length of each row in the array be n

Dividing 100 by n, we have

100/n = q Remainder r

This means that the location of 100 in rows of n numbers is row q and column r

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Answer: 9

Step-by-step explanation:

do the opposite 2·4.5=9

x=9

check your work

9/2 or 9÷2=4.5

Answer:

x4

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Point D is at -14 on the number line.

In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).

Since E is the midpoint of line segment CD, we can logically deduce the following relationship:

Line segment CD = Line segment C + Line segment D

Midpoint E = (point C + point D)/2

By substituting the given points into the equation above, we have the following:

-3 = (8 + D)/2

-6 = 8 + D

D = -6 - 8

D = -14

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Answer:

x² - 2x - 180 = 0

Step-by-step explanation:

A square piece of paper has an area of x² square units

w = x

l = x

A rectangular strip with a width of 2 units and a length of x units is cut off of the square piece of paper.

this leaves

l = x

w = x - 2

x(x - 2) = 180

x² - 2x = 180

x² - 2x - 180 = 0

Answer:

x2 − 2x − 120 = 0

Step-by-step explanation:

A square's area is calculated by multiplying each side's length by itself. That is, Area A = s x s, with s denoting the length of each square side. A square with each side measuring 8 feet in length has an area of 8 times 8, or 64 square feet.

Let x  the length side of the original square paper

we know that the area of the original square paper is equal to

\(A1=x*x=x^{2} units{2}\)

the area of the remaining piece of paper is equal to

\($A 2=x^{2}-2 x$\\$A 2=120$ units $^{2}$\)

so

\($x^{2}-2 x=120$$x^{2}-2 x-120=0$\)

therefore, the side length of the original square is x2 − 2x − 120 = 0

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The total amound of samples is 200,000 so now we can use a rule of 3 to calculate how many males has the defect so:

so the equation is:

So now the probability to have a positive sample will be:

there is a 0.50%

Answer:

your answer is going to be -158

Step-by-step explanation:

(5)-(3)^2+7×-22=-158

Answer:

a) SS, Ss, ss

b) 1/4

c) 1/2

Step-by-step explanation:

According to this question, a gene coding for possession or not of sickle cell has two alleles. Allele "S" codes for normal cell while allele "s" codes for sickle cell. A heterozygous individual or carrier will have a "Ss" genotype.

If two carriers of the sickle cell condition decide to have a child and mate i.e. Ss × Ss, the following gametes will be produced by each parent: S and s.

a) Using these gametes (S, s) in a punnet square (see attached image), the four possible offsprings with the following genotypes will be produced: SS, Ss and ss in a GENOTYPIC RATIO 1:2:1.

b) Since offsprings with the genotype "ss" will possess the sickle cell condition/phenotype, the probability of offsprings that will have sickle cell is 1/4 i.e. 1 out of 4 possible offsprings

c) Also,carrier genotype will be "Ss", therefore, the probability that the offspring will not have sickle cell but still be a carrier (one normal cell allele and one sickle cell allele) will be 2/4 or 1/2 i.e. 1 out of 2 possible offsprings.

The question asks the value of f(x) when x = 4 in the equation

x = 4 is less than or equal to 4, so we use the first equation in the piecewise functions => {4x when x≤4}

Solving for f(x):

4(4)=16

16 is the answer!

Hope it helps!

This is a linear equation with two variables.The number of student who did not drink the milk is x = 600 - m.

What is Linear equation?

A linear equation is an equation that represents a straight line on a graph. In algebra, a linear equation can be written in the form:

                                   y = mx + b

where "y" is the dependent variable, "x" is the independent variable, "m" is the slope of the line, and "b" is the y-intercept (the point where the line crosses the y-axis).

Linear equations can also have more than one independent variable, which results in an equation with multiple variables. For example, a linear equation with two variables can be written in the form:

                                  y = mx + b

where "y" and "x" are independent variables, "m" is the slope, and "b" is the y-intercept.

The school cafeteria tracked the lunch drinks for 600 middle-school students. If we want to know how many students did not drink milk, we need to find out the number of students who did not select milk as their drink option.

Let's say that "m" represents the number of students who chose milk, and "x" represents the number of students who did not choose milk. We know that the total number of students is 600, so we can write:

m + x = 600

We want to find "x", so we can rearrange the equation to solve for "x":

x = 600 - m

Now we just need to know the value of "m", the number of students who chose milk. This information is not given in the question, so we cannot provide an exact answer. However, if we assume that each student only chose one drink, then the number of students who did not choose milk would be 600 minus the number of students who chose milk.

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Answer:

-2x + 6y

Step-by-step explanation:

Rewrite equation

5x - 3y - 7x + 9y

Combine like terms

-2x + 6y

Hope this helps :)

The side length of the cube is 5.6 feet (rounded to the nearest tenth).

We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.

We can calculate s by taking the cube root of both sides of the equation:

\(s = (V)^{(1/3)\)

Substituting V = 141, we get:

\(s = (141)^{(1/3)\)

By using a calculator to evaluate this expression, we may determine:

s ≈ 5.6

As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.

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