State whether sentence is true or false. If false, replace the underlined word or phrase to make a true sentence.
A ₋trigonometric ratio is a ratio of the lengths of two sides of a right triangle.

Answer:

the amount received in the tenth month is $198

If a store owner wants to develop a new snack mix by mixing chocolate and trail mix, then the number of pounds of chocolate costing $20.10 per pound that should be mixed with 25 pounds of trail mix costing $2.80 per pound to create a mixture worth $8.41 per pound is equal to 11.99.

The pounds of chocolate needed to create a mixture worth $8.41 per pound can be calculated using an algebraic expression.

An algebraic expression can be defined as an expression consisting of both numbers and letters.

If x = the unknown pounds of chocolate

An algebraic expression can be given as,

20.10x + 2.80(25) = 8.41(x + 25)

Solving for x,

20.10x + 70 = 8.41x + 210.25

Rearranging,

20.10x - 8.41x = 210.25 - 70

11.69x = 140.25

x = 140.25 ÷ 11.69

x = 11.99

Hence, 11.99 pounds of chocolate costing $20.10 per pound should be mixed with 25 pounds of trail mix costing $2.80 per pound to create a mixture worth $8.41 per pound.

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Answer:

20

Step-by-step explanation:

We can solve for the unknown base using Pythagorean's theorem.

Remember Pythagorean's theorem goes as such:

[tex]a^2+b^2=c^2[/tex]

Where a and b are the two legs and c is the hypotenuse. We know one leg and the hypotenuse so we can insert our known values and solve for the unknown.

[tex]15^2+b^2=25^2\\225+b^2=625\\b^2=400\\b=20[/tex]

Or using trigonometry:

Note this is a 45-45-90 triangle, therefore all angles are known.

I'll use the sin function with the B angle.

[tex]sin(45)=\frac{b}{25} \\25*sin(45)=b\\17.67=b[/tex]

I'm assuming this problem was not made for trig, although the answer is still close.

A) The equation for a line that passes through the points (8, 2) and (6, 10) is:

y = -4*x + 34

B) line that has a slope of -2 and that passes through the point (-3, 5)

y = -2*x - 1

A) First we want to find the equation for a line that passes through the points (8, 2) and (6, 10).

Remember that a general linaer equation is of the form:

y = m*x + s

Where m is the slope and s is the y-intercept.

If the line passes through (a, b) and (c, d), then the slope is given by:

m = (d - b)/(c - a)

Then in this case, the slope is:

m  =(2 - 10)/(8 - 6) = -8/2 = -4

Replacing that we get:

y = -4*x + s

To find the value of s we use the fact that the line passes through (8, 2), this means that:

2 = -4*8 + s

2 + 32 = s

34 = s

The linear equation is:

y = -4*x + 34

B) Now we want to find a line that has a slope of -2 and that passes through the point (-3, 5)

Here we already know the slope, so we can write:

y = -2*x + s

Again, to find the value of s, we replace the values in the point in the linear equation:

5 = -2*-3 + s

5 = 6 + s

5 - 6 = s = -1

We conclude that this linear equation is:

y = -2*x - 1

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The inequality that Winston can use to determine the minimum number of signatures is 3x ≥ 57.

The first step is to determine which inequality sign would be used.

The following are inequality signs and what they mean:

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

The sign that would be used is the greater than or equal to sign - ≥ . This is because the number of signatures can be either equal to 80 or greater than 80.

The next step is to determine the least number of signatures needed : 80 - 23 = 57

3(number of signatures they would get) ≥ 57

3x ≥ 57

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Answer:

√2⁵

Step-by-step explanation:

✅️✅️✅️✅️✅️✅️✅️✅️‍♀️‍♀️‍♀️

Answer:

[tex]\sqrt{2^{5} }[/tex]

It's B

Step-by-step explanation:

Look at the image

I hope this helps.

Mark me brainliest, please.

The coordinates of one point in the solution set are (0, 0)

The system of inequality is given as

y < 5/6x + 4

-5x + 6y >-6

The graph that completes the question is added as an attachment

From the question, we also have the graph that represents the inequalities in the above system of inequality

As a general rule, the shaded region in a system of inequality represents the solution set

From the attached graph, the point (0, 0) is in the shaded region

Hence, the coordinates of one point in the solution set are (0, 0)

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Answer:

see explanation

Step-by-step explanation:

1

x² + 4x + 3

consider the factors of the constant term (+ 3) which sum to give the coefficient of the x- term (+ 4)

the factors are + 1 and + 3 , since

1 × 3 = + 3 and 1 + 3 = + 4 , then

x² + 4x + 3 = (x + 1)(x + 3)

2

y² - 5y + 6

consider the factors of the constant term (+ 6) which sum to give the coefficient of the y- term (- 5)

the factors are - 3 and - 2 , since

- 3 × - 2 = + 6 and - 3 - 2 = - 5 , then

y² - 5y + 6 = (y - 3)(y - 2)

3

x² - 5x - 36

consider the factors of the constant term (- 36) which sum to give the coefficient of the x- term (- 5)

the factors are - 9 and + 4 , since

- 9 × 4 = - 36 and - 9 + 4 = - 5 , then

x² - 5x - 36 = (x - 9)(x + 4)

4

y² + 5y - 14

consider the factors of the constant term (- 14) which sum to give the coefficient of the y- term (+ 5)

the factors are - 2 and + 7 , since

- 2 × 7 = - 14 and - 2 + 7 = + 5 , then

y² + 5y - 14 = (y - 2)(y + 7)

Answer:

Step-by-step explanation:

[tex]1)\\x^2+4x+3=\\x^2+3x+x+3=\\(x)(x+3)+(1)(x+3)=\\(x+3)(x+1)[/tex]

[tex]2)\\y^2-5y+6=\\y^2-3y-2y+6=\\(y)(y-3)-(2)(y-3)=\\(y-3)(y-2)[/tex]

[tex]3)\\x^2-5x-36=\\x^2-9x+4x-36=\\(x)(x-9)+(4)(x-9)=\\(x-9)(x+4)[/tex]

[tex]4)\\y^2+5y-14=\\y^2+7y-2y-14=\\(y)(y+7)-(2)(y+7)=\\(y+7)(y-2)[/tex]

hi

slope formula is :    y2-y1 / x2-x1  

you can reverse it if you want.   :    y1-y2 / x1 -x2

m =   0- (-2)  / 3 - (-1) =  2/ 4 = 1/2

Answer:

What are h saving all of your money for? if it’s for a week or day it’s 3 dollars a day if u want know how much u get ina week it’s 3x7 so u would get 21 dollars

Step-by-step explanation:

Answer:  Theorem 4 says that the columns of B do NOT span R4. Further, using Theorem 4, since 4(c) is false, 4(a) is false as well, so Bx = y does not have a solution for each y in R4.

Step-by-step explanation:

Yes, the column b span r4. Yes, the equation has a solution for each y in r4.

Matrix is defined as a set of numbers consisting of rows and columns elements.

It consists of rows and columns.

The dimensions of the matrix are determined by m×n.

Given matrix,

[tex]\begin{bmatrix} &1 &3 &-2 &2\\ &0 &1 &1 &-5\\ &1 &2 &-3 &7\\ &-2 &-8 &2 &-1\\\end{bmatrix}[/tex]

R3  → R1

R3→R4+2R1

[tex]\begin{bmatrix} &1 &3 &-2 &2 \\ &0 &1 &1 &-5 \\ &0 &-1 &1 &5 \\ &0 &-2 &-2 &3\\\end{bmatrix}[/tex]

R3→R3+R2

R4→R4+2R2

[tex]\begin{bmatrix} &1 &3 &-2 &2 \\ &0 &1 &1 &-5 \\ &0 &-0 &2 &0 \\ &0 &-0 &0 &7\\\end{bmatrix}[/tex]

This is the row echelon form of B. It has four independent columns and the dimension of r4 is 4.

column of B spans r4.

Row of matrix = 4

No of columns of matrix = No of rows of the matrix.

and the columns of B span r4.

thus we can conclude that the columns of b span r4 and the equation

bx =d y have a solution for each y in r4.

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Answer: its A. ^^

Step-by-step explanation:

The statement describing the comparison correctly is "There is a gap in the data and an outlier in both graphs" option (A) is correct.

Statistics is a mathematical tool defined as the study of collecting data, analysis, understanding, representation, and organization. Statistics is described as the procedure of collecting data, classifying it, displaying that in a way that makes it easy to understand, and analyzing it even further.

It is given that:

The two-bar graph is given in the picture.

From the data given in the picture.

Both plots contain an outlier and a data gap.

Thus, the statement describing the comparison correctly is "There is a gap in the data and an outlier in both graphs" option (A) is correct.

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Answer:

Below in bold.

Step-by-step explanation:

(2x³ – y³)²

= (2x³ – y³)(2x³ – y³)           Using the Distributive Property:

= 2x³(2x³ – y³) - y³(2x³ – y³)

= 2x⁶ - 2x³y³ - 2x³y³ + y⁶

= 2x⁶ - 4x³y³ + y⁶

Answer:1/15

Step-by-step explanation:

Assuming it is multiplication, multiply the numerators: 3 * 2 = 6

Multiply the denominators: 10 * 9 = 90

Put them together for 6/90 and simplify for 1/15

A quadratic polynomial can be written using the sum and product of its zeroes as: x² + (α+β) + αβ = 0 Where α and β are the roots of the equation. ☛ x² + ( 0+√5)x + 0 = 0 .

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Based on the information given, the number is 13

From the information given;

Let the number be x

We have that;

3(my number) + 10 = my number + 36

Substitute the number as x, we have;

3x + 10 = x + 36

collect like terms

3x - x = 36 - 10

2x = 26

Make 'x' the subject of formula

x = 26/ 2

x = 13

The number is 13

Thus, based on the information given, the number is 13

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The three types of congruence transformations are rotation, reflection, and translation is TRUE.

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

Reflection is a mirror image of a graph about any axis.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

A triangle will remain congruent if we rotate it by any angle in either a clockwise or counterclockwise manner.

If we transform by any amount either horizontal or vertical then it will remain the same so it will be congruent.

A triangle will remain the same if we mirror it on any axis, making it congruent.

Hence "The three types of congruence transformations are rotation, reflection, and translation is TRUE".

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The Spinners landing on green is 10%, blue is 40%,  yellow is 15% and red is 35%.

Given,

Green–6: The spinner lands on green with a relative frequency of 6/60.

Blue – 24: Spinners landing on blue have a relative frequency of 24/60.

Yellow – 9: The spinner's relative landing frequency on yellow is 9/60.

Red – 21:  The spinner lands on red with a relative frequency of 21/60.

Then the simplified fraction, decimal, and percentage are as follows:

When the spinner lands on green, it does so relatively often, especially 6/60

Simple Fraction: 1/10

0.1 in decimal

percent equals 10%

The spinner's landing on blue occurs with a relative frequency of 24/60

Simple Fraction: 2/5

Decimal: 0.4.

percent equals 40%

The spinner's relative frequency of landing on yellow is 9/60

Simple Fraction: 3/20

Decimal: 0.15

Percentage equals 15%

The spinner typically lands on red with a relative frequency of 21/60

Simple Fraction: 7/20

Decimal: 0.35

Percentage: 35%

Hence, the spinners landing on green is 10%, blue is 40%,  yellow is 15% and red is 35%.

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By the symmetric property of congruence is  ∠FSJ ≅∠UPR.

It is required to find the solution.

Symmetry is defined as a proportionate and balanced similarity that is found in two halves of an object, that is, one-half is the mirror image of the other half. A 2D shape is symmetrical if a line can be drawn through it and either side is a reflection of the other.

Given:

The symmetric property is if y = x then x = y. The order of what is on the left or right side of the equation does not matter. It's like saying 2+3 = 5 is the same as 5 = 2+3.

According to given question we have,

This idea can be extended to congruences because congruent angles have the same measure.

Congruent angles are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other.

So, ∠UPR ≅∠FSJ, then ∠FSJ ≅∠UPR.

Therefore, by the symmetric property of congruence is  ∠FSJ ≅∠UPR.

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You find a book that costs $16.75 and you must pay 4% sales

tax. You use a $25 gift card then only $7.58 is left on the gift card after you buy the book.

A sales tax is a government-imposed consumption tax levied on the purchase of goods and services. A traditional sales tax is assessed at the point of sale, collected by the retailer, and passed on to the government. A firm is liable for sales taxes in a given jurisdiction if it has a nexus there, which can be a physical location, an employee, an affiliate, or some other presence, depending on the rules in that country.

We must 4% sales tax on $16.75 book

Sales tax = 16.75 × 0.04

               = 0.67

The total cost = 16.75  + 0.67

                       = $17.42

He uses a $25 gift card, so he is left with

= 25 - 17.42

= 7.58

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The given sequence is not geometric.

A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.

Given: [tex]1, \frac{1}{2}, \frac{1}{3},\frac{1}{4},...[/tex]

Here, [tex]\frac{\frac{1}{2}}{1} \neq \frac{\frac{1}{3}}{\frac{1}{2}}\neq \frac{\frac{1}{4}}{\frac{1}{3}}[/tex]

Since the given sequence does not follow the necessary condition for a sequence to be geometric, it is not the one.

Hence, The given sequence is not geometric.

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Answer:

a. 3(x-7)+2=2x-1

3x-21+2=2x-1

3x-19=2x-1

+19 +19

3x=2x+18

-2x -2x

x=18

b. 2x-(5-x)=3x+2(x-7)

2x-5+x=3x+2x-14

3x-5=5x-14

-14 -14

3x+9=5x

-3x -3x

9/2=2x/2

x=9/2

Answer: see explanation

Step-by-step explanation:

The answer is very simple, you first do 3v + 2v which is 5v then you do 25 / 5 which is 5. This is your v (5). So the answer would be 5, you can ignore the 25+v this is there to confuse you.

The solution of the equation 4/x+3=5 is at x = -11/5.

According to the given question.

We have an equation 4/x+3=5.

As we know that, an equation is a condition on a variable such that two expressions in the variable should have equal value.

Therefore, the solution of the equation 4/x+3=5.

4/x+3 = 5

⇒ 4 = 5(x + 3)             (multiplying both the sides by x + 3)

⇒ 4 = 5x + 15             (by distributive rule)

⇒ 4 - 15  = 5x        

⇒ -11  = 5x

⇒ x = -11/5

Hence, the solution of the equation 4/x+3=5 is at x = -11/5.

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Answer: 0.01061462078411230953603834959767

Rounded to the nearest hundredth: 0.01

Hope this helps!!!

Answer:

0.010614621

Step-by-step explanation:

62÷5841 = 0.010614621

​Hope this helps

answer:

k= -1

Step-by-step explanation:

7k+3=-4

7k=-3-4

7k=-7

1k= -1

Given equation,

→ 7k + 6 - 3 = -4

Now solving for value of k,

→ 7k + 6 - 3 = -4

→ 7k + 3 = -4

→ 7k = -4 - 3

→ k = -7/7

→ [ k = -1 ]

Hence, the value of k is -1.

answer:

9

explanation:

-3 * 2= -6

-6 + 15 = 9

Answer:

answer:

9

explanation:

-3 * 2= -6

-6 + 15 = 9

Step-by-step explanation:

and

Find amount of tax against each paycheck: