Answer:
I'm confused, do u just need a formula?
14.32 × 1.2,...........
Answer:
17.18400
Step-by-step explanation:
When rounded to the nearest whole number, it's 17.
Hope this helped :)
Write an equation (slope-intercept form) of the line
passing through the point (-20, 4)
that is perpendicular to the line
2x + 5y = 10.
y =
Blank 1:
The equation in the slope-intercept form will be y = (-2/5)x + 4.4.
What do we mean by equations?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign.So, point is (-20, 4) and line is 2x + 5y = 10, then the equation will be:
m = -2/5y = (-2/5)x + bNow, solve for b as follows while inserting the values of x and y:
y = (-2/5)x + b4 = (-2/5)-20 + b4 = 40/-100 + b4 = -0.4 + b4.4 = bb = 4.4So, equation will be y = (-2/5)x + 4.4
Therefore, the equation in the slope-intercept form will be y = (-2/5)x + 4.4.
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foreign direct investment helps improve the economic situation of a recipient country by increasing —- opportunities in the country that the company invests in.
Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.
When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.
Increased employment opportunities result in more individuals having access to income and improved standards of living.
Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.
Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.
Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.
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in an equilateral triangle the first side is x+1, second side is 2x+4, the third side is 3x+y, find the value of x and y
The value of x is -3 and y is 7 for equilateral triangle having x+1, 2x+4 and 3x+y sides.
We can use the fact that an equilateral triangle has equal lengths on each of its three sides to determine the values of x and y.
Given:
First side=x+y
second side= 2x+4
third side=3x+y
An equilateral triangle has three equal sides, hence the following equations can be constructed:
x + 1 = 2x + 4
2x + 4 = 3x + y
Let's tackle each of these equations separately:
x + 1 = 2x + 4
We will subtract x from both sides and subtract 4 from both sides in order to solve this equation:
x + 1 - x = 2x + 4 - x
1 = x + 4
By taking 4 away from both sides, we arrive at:
1 - 4 = x + 4 - 4 , -3 = x
Therefore, x has been determined to be -3.
Now, substitute the value of x in the second equation:
2x + 4 = 3x + y
2(-3) + 4 = 3(-3) + y
-6 + 4 = -9 + y
-2 = -9 + y
y = -2 + 9
y = 7
So, we determined that y has a value of 7.
As a result, the values of x and y are, respectively, x=-3 and y=7
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Answer:
Step-by-step explanation:
In an equilateral triangle all sides are equal.
So each of these sides (and their equations are equal to each other.)
To find x - set the first two (as they only involve x) equal to each other and solve.
x + 1 = 2x + 4
x -x + 1 = 2x - x + 4
1 = x + 4
1- 4 = x + 4 - 4
-3 = x
Then substitute -3 for x in the last equation to find y, also setting it equal to one of the other equations.
3(x) + y = x + 1
3(-3) + y = -3 + 1
-9 + y = -2
-9 + 9 + y = -2 + 9
y = 7
so x = -3 and y equal 7
help me please thanks
Answer:
325m = c
Step-by-step explanation:
Each meeting room has 325 chairs.
Since we don't know how many meeting rooms there are, the number is replaced with the variable, m.
An equation is a problem with an equals sign so you need to put what it would equal.
Since you don't know how many meeting rooms there are you use the variable, c which represents the total number of chairs.
Can someone help me with this math problem 34.2 divided by 7.6
Write an inequality comparing 3/4 and 2/4.
Answer:
3/4 > 2/4
Step-by-step explanation:
3/4 = 0.75
2/4 = 0.5
Therefore, 3/4 > 2/4
can someone please help me with this?
Answer: B and D
Step-by-step explanation:
First, solve the terms inside of the parenthesis. As a general rule, whenever you multiply two terms that have the same base, you can add their exponents.
Applying this rule, the base in the problem is 6, and the exponents are 3 and -4. The sum of 3 and -4 leaves -1. Therefore, this is one of our solutions:
\((6^-^1)^-^3\)
When you have an exponential term raised to another exponent, you can simply multiply the exponents. In the previous solution given above, multiply -1 and -3 to get 3. Therefore our second solution is:
\(6^3\)
Raoul has 72 wristbands and 96 movie passes to put in gift bags. The greatest common factor for the number of wristbands and the number of movie passes is qual to the number of gift bags. Raoul needs to make. Then find how many wristbands and how many movie passes raoul can put in each gift bag if he evenly distributes the items.
Please help I am stuck I am doing work nonstop on all weekends if I don’t get this right and done please help and will give brainlesst for the correct answer
Answer:
Step-by-step explanation:
I do know give me brainliest first
Answer:
24 gift bags
Step-by-step explanation:
Well first the question says to find the GCF and you find that by finding prime factors in each number. Then you would want to subtract 96-72 and get the answer of 24 so you would be able to make 24 gift bags. Hope this helps!!
May I have heart, 5 star, and brainliest please?
If 3/5 of a cup of water fills 3/4 of a plastic container, how many containers could you fill with one cup of water?
Answer:
3/5 cup of water = 3/4 of container
1 cup of water = 3/4 * 5/3 of container
= 5/4 of container
Answer:
Step-by-step explanation:
ok so first you have to make equalt denominaters
3/5 = 12/20
3/4 = 15/20
so you can fill one and 3/20 with one full glass of water.
PLEASE HELP
Identify and label the hypotenuse, adjacent and
opposite sides on the given right triangle using
the reference angle.
Solve for the missing side in the given triangle.
Find the sine, cosine, and tangent of the referenced angle.
The missing side in the triangle is 13 units which is the hypotenuse. The values of sine, cosine, and tangent of the referenced angle are 5/13, 12/13, and 5/12 respectively.
What are trigonometric functions?Trigonometry is the branch of mathematics that deals with particular functions of angles and how to apply them in calculations. There are six widely used angles-related trigonometric functions. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant(csc) are their respective names and acronyms.
In the given triangle the reference angle is θ.
So, the adjacent side (P) has a length of 12 units. The opposite (B) is the side having a length of 5 units. So, the hypotenuse will be
Then, acc to Pythagoras theorem, the hypotenuse (H) will be
H² = P² + B²
H² = 5² + 12²
H² = 25 + 144
H² = 169
H = √169
H = 13 units
This is the missing side of the given triangle.
The sine is
sinθ = opposite/ hypotenuse
= 5/13
cosθ = adjacent/ hypotenuse
= 12/13
tanθ = opposite/ adjacent
= 5/12
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Give the equation of the line passing through the point (24,-3) that is perpendicular to y=-6x
It's in the picture !
The position of √17 between 4 and 5, which is nearer 5, and the location of 6, which is between 2 and 3, which is nearer 2.
What is Number line?A visual representation of real numbers in a linear manner is a number line. It is a straight line that is divided into intervals or segments, each of which stands for a distinct real number value.
Number lines can be vertical or horizontally oriented, and they can also have a positive or negative orientation. Positive numbers often extend to the right or up, whereas negative numbers typically extend to the left or down. The origin of the number line, or zero, is typically situated in the middle of the line.
The number line is a crucial tool in mathematics since it offers a means of representing numerical relationships visually and carrying out fundamental arithmetic operations. For instance, positive and negative motions along a number line can be used to depict addition and subtraction, respectively, with positive movements denoting addition and negative movements denoting subtraction. On a number line, multiplication and division can alternatively be shown as repeated addition or subtraction.
If we have a number line with the proper markings, we may indicate where the square roots of 17 and 6 are located as follows:
To begin, determine the approximate square root values:
√17 is between 4 and 5, since 4² = 16 and 5² = 25.
√6 is between 2 and 3, since 2² = 4 and 3² = 9.
Place the number √17 closer to 5, between 4 and 5.
Place the number √6 between the numbers 2 and 3, closer to 2.
Since 6 and 17 are not integers and their values are not evenly spaced, it should be noted that their markings will not be evenly spaced on the number line.
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Number line attached below,
A kennel has 150 dogs in total, some are puppies and some are adult dogs. The ratio of puppies to adult dogs in a kennel is 3 : 2. How many adult dogs are there?
Answer:
60
Step-by-step explanation:
puppies : adult dogs
3:2
total =150
then, 150/5*2
=60
7 students are running for student council. how many different ways can their names be listed on the ballot
Step-by-step explanation:
7! = 5040 ways
tucker is making cookies the recipe called for 1/3/4 cups of flour and 1/2cup of sugar how much flour and sugar coral will be use to make the cookies
The flour and sugar coral that will be use to make the cookies is 2 1/4 cups.
How to calculate the fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In this situation, Tucker is making cookies the recipe called for 1/3/4 cups of flour and 1/2cup of sugar.
The flour and sugar coral that will be use to make the cookies will be:
= 1 3/4 + 1/2
= 2 1/4
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Anna plans to retire at 70 and hopes to withdraw $30,000 per gear until she’s 95. If money earns 6% compounded annually how much will she need at 70
Answer:
$383,500.68
Step-by-step explanation:
The amount needed is the present value of the $30,000 that Anna will withdraw for 25 years compounded at 6% annually
=pv(rate,nper,pmt,fv)
rate is the annual rate of 6%
nper is the number of years of withdrawal which is 95-70=25
pmt is the amount of annual withdrawal which is $30,000
fv is the amount of withdrawals which is unknown
=pv(6%,25,-30000,0)=$383,500.68
The amount of she required at 70 is $$383,500.68 which gives her the benefit of withdrawing $30,000 per year at retirement
Use the Law of Sines to solve (if possible) the triangle: A = 25° 4', a = 9.5, b = 22? Round answer to two decimal places.
The measure of the angle B of the triangle is 78.15 degrees
How to determine the possible solutions from the triangleFrom the question, we have the following parameters that can be used in our computation:
A = 25 degrees
a = 9.5 units
b = 22 units
Using the law of sines, the angle B is calculated as
sin(A)/a = sin(B)/b
So, we have
sin(25)/9.5= sin(b)/22
This gives
sin(b) = 22 * sin(25)/9.5
Evaluate
sin(b) = 0.9787
Take the arc sin of both sides
b = 78.15
Hence, the measure of the angle is 78.15 degrees
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440 adults and students attended the Drumond HighSchool orchestra concert. Forty more adults thanstudents attended. How many of each went to theconcert.Oa + 40 = 440s= 440Oa+s= 440s= a + 40Oa+s= 440a=s+ 40Oa + s = 440a = 40s
we have
adults = a = 40 + s
studentes = s
then:
\(\begin{gathered} a+s=440 \\ a=s+40 \end{gathered}\)solve:
\(\begin{gathered} s+40+s=440 \\ 2s+40=440 \\ 2s+40-40=440-40 \\ 2s=400 \\ \frac{2s}{2}=\frac{400}{2} \\ s=200 \end{gathered}\)then:
\(a=s+40=200+40=240\)answer:
adults = 240
students = 200
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 65% salt and Solution B is 90% salt. She wants to obtain 150 ounces of a mixture that is 80% salt. How many ounces of each solution should she use?
The amount of solution A and B required are 60 and 90 ounces respectively.
Creating simultaneous equations for the problem:
Mass of solution A = a
Mass of solution B = b
a + b = 150 _____(1)
0.65a + 0.90b = 150×0.80
0.65a + 0.90b = 120 __(2)
From (1)
a = 150-b ____(3)
substitute (3) into (2)
0.65(150-b) + 0.90b = 120
97.5 - 0.65b + 0.90b = 120
0.25b = 120-97.5
0.25b = 22.5
b = 22.5/0.25
b = 90
a = 150 - b
a = 150 - 90
a = 60
Therefore , 60 ounces of solution A and 90 ounces of solution B is required.
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Type the correct answer in the box.
Fill in the missing term in the equation.
(1 + 2)(2+1) + blank
= 5(2+i)
PLEASE HELP!
Determine which of the following points lies on the graph of y=\(\sqrt{x} x+4\)
I have been working on this all morning. I have used different calculators and the answers that I am getting do not match any of the choices I am given on my homework. I can choose from (0,4), (5,3), (-3,0), and (12,5).
Answer:
-
Step-by-step explanation:
Forget using calculators.
Test each point by plugging its coordinates into the equation, and checking if the equation holds true.
Don't bother testing (-3,0), because you can't take the square root of -3.
The area of this triangle is 64.8 km². Find the height h.
18 km is the base.
The height of the triangle is?
Answer: 16.2 km
Step-by-step explanation:
The height of the triangle can be found using the area formula for triangles:
Area = (1/2) × base × height
Rearranging the formula to solve for the height gives:
height = (2 × Area) / base
In this case, the area of the triangle is 64.8 km² and the base is given as 8 km. So, the height of the triangle can be calculated as:
height = (2 × 64.8 km²) / 8 km
height = 16.2 km
Answer:
7.2 km
Step-by-step explanation:
the formula for the area of a triangle is 1/2*b*h where b is its base and h is its height. now let's solve for the height
64.8=1/2*18h
64.8=9h
64.8/9=h
7.2 km=h
If triangle ABC is rotate 180° reflected over the Y axis and reflected over the X axis or onepoint a prime lie?
A: (5,-4)
B: (4,-5)
C: (-4,5)
D: (-5,4)
Shelly bought a dozen pens for $144.
(a) Find the cost of 15 such pens.
(b) How many pens can be bought
for $84?
Answer:
A. 180
b. 7
Step-by-step explanation:
Answer:
a. $180
b. $7
Step-by-step explanation:
In order to easily find the cost of x amount of pens, first find the unit price:
The unit price is the price for 1 of somethingTo find how much 1 pen is, divide 144 ÷ 12 (1 dozen = 12)144 ÷ 12 = 121 pen = $12Part A - Find the cost of 15 pens:
Since we've just found the price of 1 pen, multiply the price by 1512 × 15 = $18015 pens cost $180 (outrageous!)Part B - How many pens can be bought for $84?:
Since we know the cost of 1 pen is $12, we can work backwards on this stepTo find the amount of pens that can be bought with $84, divide 84 ÷ 1284 ÷ 12 = 77 pens can be boughtthe circle with the tangent line is shown. Find the length of the radius?
Answer:
X = 5.4
Step by step explanation:
In this case, we can use the Pythagorean theorem.
\(c^2=a^2+b^2\)\(9^2=7.2^2+x^2\)\(x\text{ = }\sqrt[]{9^2-7.2^2}\text{ }\)\(x\text{ = 5.4}\)Give a pair of corresponding angles, a pair of alternate interior angles, and a pair of alternate exterior angles.
A pair of corresponding angles, alternate interior angles, and alternate exterior angles include the following:
Corresponding angles: ∠1 ≅ ∠5.
Alternate interior angles: ∠4 ≅ ∠6.
Alternate exterior angles: ∠2 ≅ ∠8
What are corresponding angles?In Mathematics, corresponding angles can be defined as a postulate (theorem) which states that corresponding angles are always congruent when the transversal intersects two (2) parallel lines:
∠1 ≅ ∠5
By applying the alternate interior angles theorem to parallel lines m and n, we have the following congruent angles:
∠4 ≅ ∠6
By applying the alternate exterior angles theorem to parallel lines m and n, we have the following congruent angles:
∠2 ≅ ∠8
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Determine whether the matrix is symmetric, skew-symmetric, or neither. A square matrix is called skew symmetric when A^T -A
A= | 0 -2 3|
| 2 0 1|
| -3 -1 0|
a. symmetric
b. skew~symmetric
c. neither
By looking at the matrix, we can say that matrix A is skew-symmetric. (option b)
To check whether a matrix is skew-symmetric, we need to verify if it satisfies the condition \(A^T\) = -A.
Taking the transpose of matrix A, we get:
\(A^T\) = | 0 2 -3 |
| -2 0 -1 |
| 3 1 0 |
Subtracting A from \(A^T\), we get:
\(A^T\) - A = | 0 2 -3 | | 0 -2 3 |
| -2 0 -1 | - | 2 0 1 |
| 3 1 0 | | -3 -1 0 |
= | 0 4 -6 |
| -4 0 -2 |
| 6 2 0 |
Since \(A^T\) - A is equal to the negative of A, we can conclude that matrix A is skew-symmetric. This means that the elements on the main diagonal are all zero, and the elements below the main diagonal are the negatives of the corresponding elements above the main diagonal.
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Need the correct answers for this. Can you help me?
The quadrilateral PQRS is a parallelogram since opposite sides PQ and SR have the same lengths and slopes.
To determine the correctness of the statements and calculate the lengths and slopes of the given quadrilateral PQRS, let's perform a coordinate proof.
Length and slope of PQ:
The coordinates of points P and Q are P(0, 2) and Q(3, -4), respectively.
Length of PQ: √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(3 - 0)² + (-4 - 2)²]
= √[9 + 36]
= √45
= 3√5 (approx.)
Slope of PQ: (y₂ - y₁) / (x₂ - x₁)
= (-4 - 2) / (3 - 0)
= -6 / 3
= -2
Therefore, the length of PQ is approximately 3√5, and its slope is -2.
Length and slope of SR:
The coordinates of points S and R are S(-2, 1) and R(1, -5), respectively.
Length of SR: √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(1 - (-2))² + (-5 - 1)²]
= √[9 + 36]
= √45
= 3√5 (approx.)
Slope of SR: (y₂ - y₁) / (x₂ - x₁)
= (-5 - 1) / (1 - (-2))
= -6 / 3
= -2
Therefore, the length of SR is approximately 3√5, and its slope is -2.
Length and slope of SP:
The coordinates of points S and P are S(-2, 1) and P(0, 2), respectively.
Length of SP: √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(0 - (-2))² + (2 - 1)²]
= √[4 + 1]
= √5
Slope of SP: (y₂ - y₁) / (x₂ - x₁)
= (2 - 1) / (0 - (-2))
= 1 / 2
Therefore, the length of SP is √5, and its slope is 1/2.
Length and slope of HQ:
The coordinates of points H and Q are H(0, 2) and Q(3, -4), respectively.
Length of HQ: √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(3 - 0)² + (-4 - 2)²]
= √[9 + 36]
= √45
= 3√5 (approx.)
Slope of HQ: (y₂ - y₁) / (x₂ - x₁)
= (-4 - 2) / (3 - 0)
= -6 / 3
= -2
Therefore, the length of HQ is approximately 3√5, and its slope is -2.
Based on the calculations, we can conclude that both statements are correct:
The quadrilateral PQRS is a parallelogram since opposite sides PQ and SR have the same lengths and slopes.
The quadrilateral PQRS is not a rectangle since the lengths of the adjacent sides PQ and SP are not equal.
Summary:
Length of PQ is approximately 3√5, and its slope is -2.
Length of SR is approximately 3√5, and its slope is -2.
Length of SP is √5, and its slope is 1/2.
Length of HQ is approximately 3√5, and its slope is -2.
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What is the perimeter of the shape below? Use 3.14 for pi. Answer with numbers only, no units.
DO NOT ROUND THE ANSWER
Step-by-step explanation:
The circumference of a WHOLE circle = pi * d
you have 1/2 of this and d = 10 ft
so 1/2 pi * 10 PLUS the two straight sides + 8+6
1/2 pi * 10 + 8 + 6
5 pi + 8 + 6
5 * 3.14 + 14 = 29.7 ft