Answer:
Step-by-step explanation:
8) a) In a parallelogram, opposite sides are equal and parallel.
BC = AD
12x - 1 = x + 21
12x = x + 21 + 1
12x = x + 22
12x - x = 22
11x = 22
x = 22 ÷ 11
x = 2
AD = x + 21
= 2 + 21
AD = 23
In a parallelogram, adjacent angles are supplementary.
∠A + ∠D = 180°
[tex]\sf y - 9 + \dfrac{y}{2}=180\\\\ \dfrac{2y}{2}+\dfrac{y}{2}=180+9\\\\[/tex]
[tex]\dfrac{3y}{2}=189\\\\y =189*\dfrac{2}{3}\\\\y=63*2\\\\y = 126[/tex]
∠D = 126 ÷2
= 63
In parallelogram, opposite angles are congruent.
∠B = ∠D
∠B = 63°
Kylie used b beads to make each necklace she made 14 necklaces in all write an expression that shows the total number of beads
The expression 14b shows the total number of beads in one necklace.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
Kylie used b beads to make each necklace.
She made 14 necklaces.
So,
the total number of beads,
= 14 x number of beads in one necklace.
The total number of beads,
= 14 x b
The total number of beads,
= 14b
Therefore, 14b is the required expression.
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The pharmacist has a 4.3 L bottle of cough syrup. If she fills a bottle that is 1,900 ml, how many ml of cough syrup does the pharmacist have left? (1 L = 1,000 ml)
240 ml
2,400 ml
3,100 ml
6,200 ml
Answer:Hi! The answer will be B I got a 100 on my test and i also did this before.
The total volume of cough syrup that the pharmacist will have left would be = 2,400ml. That is option B.
Who is a pharmacist?A pharmacist is an individual trained and licensed to dispense the correct amount of prescribed medication.
The volume of the cough syrup the pharmacist has = 4.3L
But 1 L = 1000 ml
4.3 L = 4.3 × 1000 = 4300ml
The volume of the available syrup bottle brought by the pharmacist = 1,900 ml
The quantity of syrup transferred to a bottle = 1,900 ml
Therefore the amount remaining = 4300 - 1900 = 2,400ml.
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Geometry!!! I need help with this problem!
We are aware that a Kites two opposite angles are equal. We are aware that a quadrilateral's total number of angles equals 360 degrees. As a result, x and y have values of 80° and 110°.
Area of KiteThe space a kite encloses is known as the area of the kite. A quadrilateral with two sets of neighbouring sides that are equal is referred to as a kite. A kite is made up of four angles, four sides, and two diagonals.
What is the kite formula?The product of the lengths of a kite's diagonals divides its area in half. A kite's area is calculated using the formula Area = 12 (d)1 (d)2.
Important Notes
The perimeter of a kite is 2(Side1+Side2)The area of a kite is ½ × (d)1 × (d)2A kite has two pairs of adjacent equal sides.A kite is a cyclic quadrilateral, hence, satisfies all the properties of a cyclic quadrilateral.How can the value of x in a shape be determined?By subtraction of known angle measurements from 180 degrees, one can determine the value of X in triangles. If you know at least two angles, you can subtract them from 180 to discover the third angle that is lacking since the sum of all the angles in a triangle must equal 180 degrees.
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QUICK HELP ME I'M STRUGGLING WITH THIS
The values of F, G and H are given as follows:
F = 5, G = 29, H = 1.
How to obtain the values of F, G and H?The expression at the right side of the equality represents the entire expression after the least common factor is applied at the left side.
The least common side of the denominators is given as follows:
(x - 3)(4x + 7).
Hence the simplified numerator is given as follows:
(2x + 1)(4x + 7) + (-3x + 2)(x - 3).
Expanding the operations, and combining the like terms, we have that:
(2x + 1)(4x + 7) + (-3x + 2)(x - 3) = 8x² + 18x + 7 - 3x² + 11x - 6.
(2x + 1)(4x + 7) + (-3x + 2)(x - 3) = 5x² + 29x + 1.
Then the equality of the two numerators is given as follows:
5x² + 29x + 1 = Fx² + Gx + H.
Hence the values of the letters are given as follows:
F = 5, G = 29, H = 1.
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erpendicular+Lines+Problém (2)
Jan 9, 2023 at 8:15 AM
3.
4.
7
2
a.y=-x+3
y=3x-4
b. y=x+2
y=-4x + 2
c. y=x+2
y=-x-1
d. ?
Part 1: Match the correct graphs with the correct equations.
Part 2: For the graph that does not have a match, write the equations for the two lines.
Part 3: Which set of lines are parallel? What do you notice about the slopes of the lines?
Part 4: Which set of linear are perpendicular? What do you notice about the slopes of the lines?
Part 5: Write another example of a pair of equations that would be parallel.
Part 6: Write another example of a pair of equations that would be perpendicular.
Three types of numbers fall under the heading of "real numbers," which we will discuss in a moment. Real numbers include all types of numbers, including whole, rational, and irrational numbers.
What is Real number?A real number is a quantity that may be represented mathematically by an endless decimal expansion. In contrast to the counting-derived natural numbers 1, 2, 3,..., real numbers are used to quantify constantly altering quantities such as size and time. Rational and irrational numbers are both included in real numbers. Real numbers include both irrational and rational numbers such as 3, 22/7, and integers such as (-2, 0, 1), fractions such as (1/2), and decimal numbers such as (1/2).
whole = 0,1,2,3,4,5,6,7,8,9,10,11........….
rational = 12/23,3,3/4,5/6,...…
irrational = [tex]\sqrt{98}[/tex]
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Solving the provided question, we can say that the equation we have here are y=-x+3 and y=3x-4 and y=x+2, so values of y are as => 0, 5 and 5.
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
the equation we have here are
y=-x+3
y=3x-4
y=x+2
and the value of the x = 3
so values of y are as => 0, 5 and 5
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the mean rate for satellite television from a sample of households was $49.00 per month, with a standard deviation of $2.50 per month. between what two values do 99.7% of the data lie?
So on solving the provided question, we can say that mean rate for satellite television from a sample of households was $49.00 per month 29 * 49 = $1421
What is mean?A dataset's mean is the sum of all values divided by the total number of values, often known as the arithmetic mean (as opposed to the geometric mean). Often referred to as the "mean," this is the most often used measure of central tendency. Simply dividing the dataset's total number of values by the sum of all of those values yields this result. Both raw data and data that have been combined into frequency tables can be used for calculations. Average refers to a number's average. It is straightforward to calculate :Divide by how many digits there are after adding up all the digits. the total divided by the count.
here the data vales are
12+76+4+89+55+6+8+7+4/9
261/9
29
so , mean rate for satellite television from a sample of households was $49.00 per month 29 * 49 = $1421
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hey I need help with this T=M(4+FG) for G
The equation for the variable G after changing the subject of the formula is; G = (T/MF) - (4/F)
How to change the subject of the formula?The subject of a formula is defined as the variable that is being worked out. It can be recognized to be the letter that is on its own on one side of the equal sign. For example, in the formula for the area of a rectangle given as;
A = b * h
area = base × height , the subject of the formula is A.
We are given the formula;
T = M(4 + FG)
Divide both sides by M to get;
T/M = 4 + FG
Subtract 4 from both sides to get;
(T/M) - 4 = FG
Divide both sides by F to get;
G = (T/MF) - (4/F)
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NO LINKS!!
You just found out that your retirement fund is losing money at an annual rate of 6.3% compounded quarterly. Currently, you have $56,700 in the account.
a. Write an equation to show how much money will be in the account for any number of years.
b. How much will the account be worth after 14 years? Show or explain how you know.
A = P * (1 - r)^(t/n)
Where:
A = the final value of the account
P = the initial value of the account ($56,700)
r = the annual interest rate (6.3%)
t = the number of years
n = the number of compounding periods per year (4)
So, the equation would be:
A = 56,700 * (1 - 0.063)^(t/4)
To find out how much the account will be worth after 14 years, we can plug in 14 for t in the equation above:A = 56,700 * (1 - 0.063)^(14/4)
A = $24,988.18
So, the account will be worth $24,988.18 after 14 years, if the rate of loss stays 6.3% compounded quarterly.
Marina's monthly liabilities and assets are shown in the table.
Monthly Liabilities (Debt)
Rent
Student Loan Payment
Minimum Credit Card Payment
Car Loan Payment
Graduate School Loan
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$1,400
$350
$140
$130
$600
Incorrect
Monthly Pre-Tax Assets (Income)
Gross Salary
Stock Dividends
Interest
Find Marina's debt-to-income ratio. Express that ratio as a percent.
X
$8,900
$350
$190
Marina's debt to income ratio is given as follows:
27.75%.
How to obtain the debt to income ratio?The debt to income ratio is obtained as the sum of all debts divided by the sum of all incomes.
The sum of all debts is given as follows:
1400 + 350 + 140 + 130 + 600 = 2620.
The sum of all incomes is given as follows:
8900 + 350 + 190 = 9440.
Hence the ratio is given as follows:
2620/9440 = 0.2775.
As a percent, the ratio is given as follows:
0.2775 x 100% = 27.75%.
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63 is 30% of what number?
21
93
210
300
Answer:
210
Step-by-step explanation:
Let number be x, 63 is 30% of x would be:
[tex] \displaystyle{63 = \dfrac{30}{100}x}[/tex]
**30% = 30/100**
Solve the equation for x, multiply both sides by 100 to get rid of the denominator:
[tex] \displaystyle{63 \times 100= \dfrac{30}{100}x \times 100} \\ \\ \displaystyle{6300 = 30x}[/tex]
Divide both sides by 30:
[tex]\displaystyle{ \dfrac{6300 }{30}= \dfrac{30x}{30}} \\ \\ \displaystyle{ 210= x}[/tex]
Therefore, that number is 210. Hence, 63 is 30% of 210
Determine whether the statement is true or false.
(Bob) ≤ {Bob, Carol, Ted, Alice}
A.True
B.False
Help
The statement "(Bob) ≤ {Bob, Carol, Ted, Alice}" is False.
How to determine the truth value of the statementFrom the question, we have the following parameters that can be used in our computation:
Bob) ≤ {Bob, Carol, Ted, Alice}
Here, (Bob) is a singleton set which contains the element "Bob", while {Bob, Carol, Ted, Alice} is a set.
In general, the notation "A ≤ B" is used to indicate that set A is a subset of set B, which means that all elements of A are also elements of B.
Therefore, in this case (Bob) is not a subset of {Bob, Carol, Ted, Alice} because it is not a set of distinct elements, it is just a single element.
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A circular fountain has a radius of 6.8 feet. Find its diameter and circumference to the nearest hundredth. Use 3.14 for π.
The diameter of the circular fountain is 13.6 feet, while its circumference is 21.352 feet to the nearest hundredth.
To find the diameter and circumference:The diameter is the line drawn that divides the circle into two while the circumference is the perimeter of the circle. Both are a measure of the radius of a circle.
Diameter, D = 2r
where r is the radius of the circle
Circumference = 2πr = πD
where π = 3.14
Given that the circular fountain has a radius of 6.8 feet
Diameter = 2 × 6.8 feet = 13.6 feet
Circumference = 3.14 × 13.6 feet
Circumference = 21.352 feet (to the nearest hundredth)
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simplify 7.5s + 1.6t - 4.2s
The equation 7.5s + 1.6t - 4.2s is simplified to give a result of
3.3s + 1.6tHow to simplify the given equationThe given equation 7.5s + 1.6t - 4.2s is simplified by following the mathematical operator that is acting on the values after a consideration of like terms
The variables in the equation are t and s
terms in t: 1.6
terms in s: 7.5, -4.2
collecting like terms
this will lead to rearranging the equation to give
7.5s - 4.2s + 1.6t
using the mathematical operator (addition and subtraction)
= 3.3s + 1.6t
unlike terms cannot be operated on, because of this the answer is 3.3s + 1.6t
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nicole is driving she has 14 gallons of gas she useds 1 gallon every 30 miles let G represent the gallons and Dz the distance she travel;s
Answer:
Dz = (14 - 1) 30
Step-by-step explanation:
We know
Dz represents distance travel
She starts with 14 gallons of gas
1 gallon of gas = 30 miles
So, our equation will be Dz = (14 - 1) 30
Find the zero(s) of g open parentheses x close parentheses if g open parentheses x close parentheses equals fraction numerator x plus 4 over denominator x minus 6 end fraction.
The zero of the function g(x) is x = -4
How to find the zero of a function?A function is a relationship between inputs where each input is related to exactly one output. A function is generally denoted by f(x) where x is the input.
It should be noted that based on the information, we want to find the value of x. This will be illustrated thus:
To find the zeros of a function g(x), we solve the equation g(x) = 0 for x. That is:
g(x) = (x + 4) / (x - 6)
0 = (x + 4) / (x - 6)
0(x - 6) = (x + 4)
0 = (x + 4)
x + 4 = 0
x = -4
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Select the correct answer. Which value of x makes the equation true? 3 x − 6 3 = 7 x − 3 6 A. -11 B. -9 C. -3 D. 3
Answer:
A is correct answer I guess but if you hhj have been able to worked something out put me on
calculate the density of an apple witha mass of 80 grams and a volume of 160 ml
I will mark brainlest
Answer:
0.5
Step-by-step explanation:
Density Formula
P = m/V
Density = mass / volume
Gram is a mass (80)
Volume is 160
P = 80/160
80/60 = 0.5
PLEASE I NEED HELP
Geometry
Exterior Angle Theorem
1. The measure of one exterior angle of a regular polygon is given,
find the number of sides.
►
40°
A regular polygon's outer angle is 40° in length and has 9 sides.
What is meant by polygon?A two-dimensional, closed, flat or plane shape with sides that are all straight can be referred to as a polygon. The sides of it are not curled. Polygonal edges are another name for the sides of a polygon. The vertex (or corner) of a polygon is the place where two sides come together. Some examples of polygons are provided below. The term "polygon" refers to any closed, two-dimensional form having three sides or more. As well as more complex designs like a dodecagon with twelve sides, triangles and squares are polygons. Having closed, straight sides, a polygon is a shape. One type of polygon is a rectangle, while others include triangles, hexagons, and octagons. Similar to other concepts in geometry, which they originated, the word "polygon" is Greek. It merely denotes a lot of angles (poly) (gon).We have,
360°
It is given that each exterior angle is 40∘.
40 ∘ .
Consequently, the polygon's number of sides = Measure of all exterior angles added together Every external aspect
= 36040 = 9.
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Which statement best describes what software is?
the instructions written in human-readable form
the programming code that gives instructions to other parts of the computer
the code that manages all the hardware on a computer
O the electronic and mechanical parts of a computer device
The programming code that gives instructions to other parts of the computer.
What is computer programming code called?Computer programming code is typical referral source code. Source code is a set of instructions written using a computer programming language that tells a computer what to do.
It is written in a language that a computer can understand, and is usually written in a text file. Source code is the foundation of all computer programming and software development, and it is the basis for creating applications, programs, and websites. Source code is written in a language such as C++, Java, or Python and is compiled and then translated into machine language that the computer can understand and execute.
The source code is then tested and debugged to ensure that it works correctly. Source code is an essential part of software development and is the foundation for successful software projects.
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Which phrase describes the variable expression y-12
A. The quotient of y and 12
B. Y increased by 12
C. The product of y and 12
D. Y decreased by 12
Answer:
D.
Step-by-step explanation:
y - 12 means that 12 is being subtracted from y.
Subtracting 12 from y means decreasing y by 12.
Answer: D.
find two whole numbers that are closest to v42. explain your reasoning
Answer:
The numbers are 6 and 7.
Step-by-step explanation:
4² = 16
5² = 25
6² = 36
7² = 49
√36 = 6
√42 = ?
√49 = 7
The numbers are 6 and 7.
calculate the static thrusts of the rocket and turbojet engines described in the figure. the thrust t is the force necessary to prevent horizontal
The static thrust of the rocket is 129800 N and the static thrust in the turbojet will be 20000 N.
Given,
mass flow rate, m = 40 kg/s
Exhausts velocity, Ve = 3000 m/s
Pressure, Pe = 0.15 MPa
Ambient pressure, Pa = 0.101 MPa
Area, Ae = 0.2 m²
We know that, the expression for static thrust for the rocket
T = mVe + (Pe - Pa)Ae
= 40 x 3000 + (0.15 - 0.01) x 0.2 x 10⁶
T = 129800 N
Now applying mass conservation to the engine
ma + mf = me
Now, thrust force
T = (ma + mf)Ue + (Pe + Pa)Ae
T = meUe + (Pe + Pa)Ae
and me = 40 kg/sec
Ue = 500 m/s
Pe = Pa
T = meUe = 40 x 500
T = 20000 N
Therefore, the static thrust of the rocket is 129800 N and the static thrust in the turbojet will be 20000 N.
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The complete question is:
Calculate the static thrust of the rocket and turbojet engines. The thrust T is the force necessary to prevent the horizontal movement of the engine. Both engines exhaust a mass flow of 40 kg/s. The ratio of air and fuel mass flowing into the turbojet is 50:1, and in its exhaust plane the velocity is 500 m/s and the pressure is the same as the ambient pressure. The rocket propellant exhausts at a velocity of 3000 m/s through an area of 0.2 m2. The pressure in the exhaust plane of the rocket is 0.15 MPa and the ambient pressure is 0.101 MPa.
The average person spends about 1/10 of their walking hours with their eyes closed. If Mrs. James was awake for 15 1/2 hours today, how much more time did she have her eyes open than closed.? PLEASE HELP
The time that Mrs James have her eyes open than closed will be 13 19/20 hours.
How to calculate the Fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.
From the information, the average person spends about 1/10 of their walking hours with their eyes closed. If Mrs. James was awake for 15 1/2 hours today.
The more time that she have her eyes open than closed will be:
= 15 1/2 - (1/10 × 15 1/2)
= 15 1/2 - 1 11/20
= 13 19/20
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help me to solve these questions
Answer: I can't solve all of them but I will give tips. i repeats in cycles so i^1 is sqrt-1, i^2 is -1, i^3 is -i and i^4 is 1. Look at the exponent and first divided out 4 then use the 1 2 3 answers. When you divided i and a number such as (1-i)/1+i) multiply by the conjugate of the denominator which is 1-i. To find conjugate replace the + with a -.
Step-by-step explanation:
show working
please A carton of strawberries weighs 2 pounds. A box of apples weighs 6 pounds more than that. How much does the box of apples weigh?
please some answer this please just answer and you'll know points 83
Answer: 8 pounds
Step-by-step explanation: Let’s first identify the main key details
Strawberry- 2 pounds
Apple- 6 more of strawberry
What is 6+2
8
The apple weighs 8 pounds.
Hope this helped
Examine the triangle below, solve for x, rounded to two decimal places.
16
45°
Answer:
[tex]x= 8\sqrt{2}[/tex]
Step-by-step explanation:
This is a 45, 45, 90-degree triangle.
You can tell because whenever there is a 90 degree angle (right angle) and a 45-degree angle, the last angle must be 45, too, making it 45, 45, 90.
In such a triangle, the hypotenuse is equal to some number (x) times the square root of 2.
To get 16, you must eliminate that radical 2, so you have to multiply by a square root. We know that the square root of 2 times the square root of 2 is 2, so then now we only need to get a constant to multiply it by 16.
This constant would be 8.
We know this because sqrt(2) times 8(sqrt 2) gives us 2 times 8, or 16.
Now that we know what x is, we have the solution.
The legs of a 45,45,90 degree triangle are equal to the number we need to multiply the square root of 2 by to get 16, 8(sqrt 2)
That is our answer: 8(sqrt 2)
A bag contains 4 white, 5 red and 6 green balls. Three balls are drawn at random from
the bag. The probability that all of them are green, is:
The probability that all the balls are green when we randomly select them is:
P = 0.044
How to find the probability that all the balls are green?We know that a bag contains 4 white, 5 red and 6 green balls, then there are a total of:
4 + 5 + 6 = 15 balls.
The probability of getting a green one is given by the quotient between the number of green balls and the total number of balls, so for the first one we have:
p = 6/15
Now for the next ball, because we already took one, now there are 5 green balls and 14 in total, so the probability is:
q = 5/14
The probability for the last one is calculated in a similar way, we will get:
z = 4/13
The joint probability (the probability of getting the 3 green balls in a row) is given by the product of the probabilities above, here we will get:
P = *q*z = (6/15)*(5/14)*(4/13) = 0.044
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Question
For which intervals is the function increasing?
Select each correct answer.
(1,2)
(0,1)
(−∞,0)
(2,∞)
The intervals in the function increase will be (1, 2). Then the correct option is A.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The function is shown on the graph. Then we have
In the interval (−∞, 0), the function is decreasing function.
In the interval (0, 1), the function is decreasing function.
And in the interval (1, 2), the function is increasing function.
Similarly in the interval (2, ∞), the function is decreasing function.
The intervals in the function increase will be (1, 2). Then the correct option is A.
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−5/6h−2/3h=−24 for h
Answer: h = 16
Step-by-step explanation:
We will isolate the variable, h, with inverse operations and simplifying to solve for h.
Given:
[tex]\displaystyle -\frac{5}{6}h-\frac{2}{3}h=-24[/tex]
Multiply both sides of the equation by 6:
➜ Why would we do this? This allows us to work without fractions.
-5h - 4h = -144
Combine like terms:
-9h = -144
Divide both sides of the equation by -9:
h = 16
In the diagram below, mMON = 142°, m MOP= 2x+1, and m/ NOP = 2x
+1. What are the exact measures of the angles?
P
M
A. mz MOP = 141
m2 NOP=11
B. m/ MOP = 70
m2 NOP=74
C. m MOP= 71
m2 NOP=71
D. m/ MOP = 140
m2 NOP = 70
On solving the provided question, we can say that angles MOP + NOP = MON; x = 140/4 = 35 and MOP = NOP = 2(35) +1 = 71
what are angles?An angle is a form in Euclidean geometry made composed of two rays, called the angle's sides, that meet at a point in the middle known as the angle's vertex. In the plane where the rays are placed, two rays can produce an angle. An angle is also produced when two planes intersect. They're known as dihedral angles. In plane geometry, an angle is the form that two rays or lines with a common termination might take. The Latin word "angulus," which means "horn," is where the English word "angle" comes from. The two rays, also known as the sides of the angle, have a common termination known as the vertex.
here, angles
MON = 142°, m MOP= 2x+1, and NOP = 2x+1
so, MOP + NOP = MON
2x+1 + 2x + 1 = 142
4x = 140
x = 140/4 = 35
MOP = NOP = 2(35) +1 = 71
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