Plot the locus points for x = y

Answer:

SAS

Step-by-step explanation:

By applying the Side Angle Side Postulate (SAS), you can be sure that your two triangles are congruent.

The cost of s and 20 songs are $1.25s and $25 respectively.

Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times or 3 is added 2 times.

Given that music services cost $6 per month to Nachelle.

And to download songs for offline listening, the service charges $1.25 per song.

If she wants to download s songs,

The cost of s songs = the cost of one song multiplied by s

The cost of s songs =$1.25 multiplied by s

The cost of s songs = $1.25s

Here s = 20 then

cost of 20 songs = $1.25 x 20

                           = $25

Therefore the cost of s and 20 songs are $1.25s and $25 respectively.

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The required value of t according to the given question is - 8.

Given points are (-2,t) and (-1,-6)

Now let these two points be considered as

A and B that is let the points be A(-2,t) and B(-1,-6)

To find the slope of the graph we will use the formula m = y - y₁ / x - x₁

Given y = ty₁ = - 6x = - 2 x₁ = - 1

Thus on substituting these values in the above mentioned formula we will get m = t + 6 / - 1

Also given slope or m = 2Thus 2 = - t - 6 t = - 6 - 2 t = - 8

Thus the required value of t is - 8.

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I hope this helps!

42x +55y =380

This is a "completely randomized" type of experiment design.

In terms of data analysis as well as accessibility, and simplicity a randomized design is perhaps most likely the shortest experimental study.

The investigator expects that sometimes extraneous influences would affect treatment conditions similarly in general, so that any substantial improvements across conditions may be allocated appropriately towards the individual entity.

Thus the above approach is right.

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Answer:

x = -12

Step-by-step explanation:

x/-3 + 5 - 5 = 9 - 5

x/-3 = 4

x/-3 (-3) = 4(-3)

x = -12

Answer:A=72

B=108

Step-by-step explanation:

The solution is, angle a = 72 & b = 108

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

given that,

from the given figure we get,

∠ABC = 180

∠BCD = 180

so, we have,

∠ABC + ∠BCD = 180 + 180

ABE + EBC + a + b = 360

again, we know that,

EBC + a = 180 - 38 = 142

[we know, from property of triangle's angle]

now, we get,

ABE + 142 + b = 360

or, 110 + 142 + b = 360

or, b = 108

so, we get,

a = 180 - 108 = 72

Hence, The solution is, angle a = 72 & b = 108.

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The answers are a) 29.55 ft, b)  23.08 feet and c)  45.05 feet

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled.

Given is a figure, of two wires 1 and 2 attached to a pole and ground

Using trigonometric ratios, we have,

a) tan41° = Height of pole/34

Height of pole = tan41°x34

Height of pole = 29.55 ft

b) tan38° = (distance of wire 2 from the base of pole)/29.55

Distance of wire 2 from the base of pole = tan38°x29.55 = 23.08 feet

c) cos41° = 34/length of wire 1

Length of wire 1 = 34/cos41°

Length of wire 1 = 45.05 feet

Hence, The answers are a) 29.55 ft, b)  23.08 feet and c)  45.05 feet

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The expression that shows the number of baseball cards is 12n

An algebraic expression in mathematics is an expression that is made up of letters and numbers, along with algebraic operations (addition, subtraction, multiplication, etc). Expressions are made up of terms

Given that: Carter bought p packs of baseball cards and there are 12 cards in each pack

To know the number of baseball cards, we have to multiply the number of packs by the number of cards in each pack:

Since the number of packs = n and the number of cards in each pack = 12.

Thus, total number of baseball cards = 12 x n = 12n

Therefore, the expression that shows how many baseball cards Carter bought is 12n

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The solution of the given inequality is when the value of x is greater than or equal 2.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

Given expression is 3(x-3) -5 (3x-2)≤ 25.

Therefore, the given inequality can be solved as,

3(x-3) - 5(3x-2) ≤ 25

3x - 9 - 15x + 10 ≤ 25

-12x + 1 ≤ 25

-12x ≤ 25 - 1

-12x ≤ 24

x ≥ 2

Hence, the solution of the given inequality is x ≥ 2.

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Answer:

it's not possible

because Z^2 = Z*Z

and the condition to multiply two arrays is :

( the column in first array have to equal the row in the second array)

If a train leaves a station heading east. after traveling east for 33 miles, the train leaves 56 miles south. The distance of the train from the station is C. 65.

Using Pythagoreans theorem formula to find the distance

d² =  a² + b²

Where:

d = distance =?

a= east for 33 miles

b = 56 miles south

Let plug in the formula

d = √33² + 56²

d = √ 1089 + 3136

d = √4225

d = 65 miles

Therefore the correct option is C.

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Answer:

Vocabulary: slope and variable m rise over run slope formula y-intercept/variable b parallel lines and parallel equation perpendicular lines and perpendicular equatio Introduce or review key terms related to slope and angle: slope, grade, pitch, cardinal direction, slope angle, angle of depression/declination, and angle of elevation/inclination.

Answer: no clue

Step-by-step explanation: i don't know Spanish lol

Step-by-step explanation:

imagine a circle with J being the center, and JK being the radius.

then

sin(J) = 15.1/JK

cos(J) = 9.4/JK

we have one trigonometric function, where we don't need to calculate JK first : tangent.

tan(J) = sin(J)/cos(J) = 15.1/JK / 9.4/JK = 15.1/9.4 =

= 1.606382978...

J = 58.09705252...° ≈ 58.1°

Answer:

Step-by-step explanation:

Answer: 108

Step-by-step explanation:

6 x 6 x 6=10

He can fill a total of 25 bags.

The values are,

50 blueberry scones total.

75 cranberry scones total.

For each bag to have an equal quantity of blueberry scones & cranberry scones, he must determine the maximum amount of bags he can fill.

H.C.F. of 50 & 75 is thus 25.

As a result, he can fill 25 bags.

There would be scones with blueberries in each bag of

50 ÷ 25 = 2

There would be cranberry scones for each bag, for a total of

75 ÷ 25 = 3

As a result, he may fill a total of 25 bags.

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The proportion of bottles that will have more than 18 ounces dispensed into them is 0.0228

Proportion relationship:

Proportion means a relationships between two variables where their ratios are equivalent and it is the way to think about them is that, in a proportional relationship, one variable is always a constant value times the other.

Given,

A company that manufactures and bottles apple juice uses a machine that automatically fills 20-ounce bottles. there is some variation, however, in the amount of liquid dispensed into the bottles. the amount dispensed has been observed to be approximately normally distributed with mean 20 ounces and standard deviation 1 ounce.

Here we need to determine the proportion of bottles that will have more than 18 ounces dispensed into them and round the answer to the four decimal places.

Here we have to use tables to determine the proportion of bottles that will have more than 18 ounces dispensed into them.

Let us consider X denote the amount of juice dispensed.

Then it can be written as,

P (X >18) = P (Z > (20 - 18)/1)

=> P (X >18) = P (Z > 2)

=> 1 - Ф(2)

=> 1 - 0.9772

=> 0.0228

Hence the proportion of the bottles that will have more than 18 ounces dispensed into them is 0.0228.

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Step-by-step:

1)Combine multiplied terms into a single fraction

1/7a+ 1/7

1a/7+1/7

2)Multiply by 1

3)Combine fractions with a common denominator

Solution

a+1/7

Hope That helps!

Answer:

8.31

Step-by-step explanation:

-6n² = -414

[take away negative]

6n² = 414

[divide by 6]

n² = 69

n = 8.3066 (to 5 significant figures)

n = 8.31 (to 3 significant figures)

The needed sample size is 1419. Sample Size is defined as the number of observations in the study.

In the question we have ,

estimate value of all voters who believe global warming ( p) = 82% = 0.82

margin of error (M.E) = 2% = 0.02

confidence of interval is calculated by estimate point value and add or subtract margin of error .

here,we have the value of confidence of interval is 95% = 0.95

Margin of error formula is

M.E = Z × √(p(1-p)/n)

where, p --> is estimated value

n---> sample size , which we required

Z ----> is z-value for observation

for the confidence of interval level 95% , the Z-value is 1.96 exist.

put all value in above formula we get,

0.02 = 1.96 × sqrt( ( 0.82)(1-0.82)/n)

=> 0.02 = 1.96× √(0.82×0.18/n)

= 0.02/1.96 = √0.1476/n => 0.000104= 0.1476/n

=> n = 1419

So, sample size is large and it is 1419.

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The correct options are that Multiply by 5 on both sides of the equation.

7 × 5 = 35. thus Dolev had 35 pretzels.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have been given that Dolev has 5 friends and each friend got 7 pretzels, the equation that can be used to represent this will be;

p / 5 = 7

In order to determine the value of p, the following steps would be taken :

Now Multiply both sides of the equation by 5:

p = 7 x 5

Then Determine the product of the numbers :

7 x 5 = 35

The correct options are; that Multiply by 5 on both sides of the equation.

Dolev had 35 pretzels.

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Answer:

the price per once is $0.165

Step-by-step explanation:

[tex]8 \: jar \: of \: peanut \: cost \: 1.32 \\ 1jar \: cost \: what \: \\ now \: to \: get \: price \: of \: each \: jar\\ 1.32 \div 8 \\ = .0165[/tex]

Coordinates of the original figure: (-2, 2), (-2, 0), and (2, 2).

Coordinates of the final transformed figure: (-4, 4), (-4, 2), and (4, 4).

What is a coordinate system?

In geometry, a coordinate system is a system that uses one or more numbers or coordinates to uniquely determine the location of points or other geometric elements on a manifold, such as Euclidean space.

In the original figure, we can plot the coordinates, and we get

                     For dark blue dot = (-2, 2)                      

                     For red dot = (-2, 0)

                     For light blue dot = (2, 2)

After applying a scale factor of '2', we get the new coordinates as

                     For dark blue dot = (-4, 4)                      

                      For red dot = (-4, 2)

                      For light blue dot = (4, 4)

Hence,

Coordinates of the original figure: (-2, 2), (-2, 0), and (2, 2).

Coordinates of the final transformed figure: (-4, 4), (-4, 2), and (4, 4).

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A bit string of length 5 contains 2^5 = 32 potential values because each bit has two possible values.

The quantity of bits in a bit string determines its length. When the bit string is produced, this precise non-negative integer is fixed. The exact non-negative integers that are smaller than the bit string's length are the valid indexes. Bit strings can have zero bits or more. A series of bits is known as a bit string. Bit strings can be used to modify binary data or represent sets. In right to left order, a bit string's elements are numbered from zero to the number of bits in the string minus one.

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The polygon's WXYZ and ABCD are similar.

What is similar figures?

The same shape between two figures is referred to as similarity. If two figures have congruent corresponding angles and equivalent length ratios on their corresponding sides, they are said to be similar mathematically. The scale factor is the name of this often used ratio.

Consider, the polygons WXYZ and ABCD

The angles, "∠W and ∠A"  and "∠Y and ∠C" are congruent to each other.

Also, the angles "∠Z and ∠D" and "∠X and ∠B" are congruent to each other.

Now consider, the sides

The sides "WZ and AD", "XY and BC"  and "WX and AB" , "ZY and DC" are having the equivalent ratio.

Therefore, the polygons WXYZ and ABCD are similar.

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The quiz consists of 40 problems and it solved by a linear equation.

What is the linear equation?

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.

Assume that the quiz consists of n problems.

Denise did 7/8 of the problems correctly.

If the total number of problems of the quiz is n, the number of answers that are correct is (7/8)× n.

The number of incorrect problems are 5.

Total number of problems those are done by Denise is { (7/8)× n}+5.

Assume that Denise attempts all problems.

Now making a linear equation:

{ (7/8)× n}+5 = n

(7n)/8+5 = n

(7n+40)/8 = n

(7n+40) = 8n

Subtract 7n from both sides:

7n+40 -7n = 8n - 7n

40 = n

The number of problems in the quiz is 40.

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Answer:

264,600

Step-by-step explanation:

249 ÷ 83 = 3

88,200 ×3 = 264,600

The factor most likely results in the loss of genetic variation from a small population is called genetic drift.

Small populations tend to lose genetic variation at a faster rate than large populations due to genetic drift (stochastic sampling error). Genetic drift refers to the change in an existing gene variant frequency in the population due to random chance. Genetic drift may result in the disappearance of gene variants completely and thus decreases genetic variation. Furthermore, it could initially cause rare alleles to become much more frequent, and even fixed. The loss of some versions of a gene due to random chance is more likely to happen when populations are small.

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