Answer:
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If a quadrilateral is a parallelogram, then its diagonals bisect each other. If a quadrilateral is a parallelogram, then consecutive angles are supplementary. If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
Subtract to find the value of 15(2/3-2/5)
Answer:
\(4\)
Step-by-step explanation:
Simplify the expression
Look at the inequality 12 + 6x > 99
Drag and drop each statement into "True" or "False" depending on if the statement is true or false.
Hence, x > 14.5 is the answer to the contradiction 12 + 6x > 99. This suggests that the inequality will be satisfied by any x value that is bigger than 14.5
What does math inequality mean?"Inequality" in mathematics refers to the relationship between two reactions and quantities that is not the same as one another. As a result, inequality results from an imbalance.
You can use algebra to isolate one variable x solely on a single side of the inequality and utilize that information to solve the inequality 12 + 6x > 99.
The stages to resolving the inequality are as follows:
First, take 12 away both from sides of the inequality:
12 + 6x - 12 > 99 - 12
Simplify:
6x > 87
Then, to identify the variable x, split both side of the equality by 6:
6x/6 > 87/6
Simplify:
x > 14.5
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Leonel is building a circular table with a diameter of 5 feet. The wood costs $35.50 per square foot. How much will it cost Rafael to make the table? Use 3.14 to approximate π. Enter your answer in the box.
Answer:
$696.70
Step-by-step explanation:
The formula for the area of a circle is given as πr²
From the above question
π = 3.14
Diameter = 5 feet
Radius = Diameter/2 = 5 feet/2 = 2.5 feet
Hence,
The area of the circular table = 3.14 × 2.5²
= 19.625 ft² or 19.625 square foot
We are told that:
The wood costs $35.50 per square foot
Hence,
1 ft² = $35.50
19.625 ft² = x
Cross Multiply
x = 19.625 ft² × 35.50
x = $696.6875
Approximately = $696.70
Therefore, it will cost Rafael $696.70 to make the table.
In ΔSTU, the measure of ∠U=90°, SU = 36, UT = 77, and TS = 85. What ratio represents the secant of ∠T?
Answer:
I think Angle T is 36 degree
I think it will help you
PLEASE HELP!!!!!!! i need this :) thank you very much
The parallelogram have the value of x = 3, angle m∠XWY = 30° and m∠X = 115°
What is a parallelogramA parallelogram is a geometric shape with four sides, where opposite sides are parallel and have equal lengths. Its opposite angles are also equal in measure.
The sides WV and XY are equal in length so;
3x = 9
x = 9/3
x = 3
angles m∠XWY and m∠VYW are alternate angles and are equal so;
m∠VYW = 180 - (35 + 115)
m∠VYW = 30° = m∠XWY
opposite angles are also equal in measure so;
m∠V = m∠X = 115°
In conclusion, the parallelogram have the value of x = 3, angle m∠XWY = 30° and m∠X = 115°
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what are the possible numbers of minutes he has used his phone in a month? use for the number of minutes, and solve your inequality for .
Inequality is a statement of an order relationship between two figures or algebraic expressions. Ryan used at least 1189 minutes.
In mathematics, an inequality is a relation which makes a non-equal comparison between two figures or other fine expressions. It's used most frequently to compare two figures on the number line by their size.
Given
Let m be the number of minutes used.
Yearly cost = fixed cost variable cost
fixed cost = 13
Variable cost = 0.05 × m
Yearly cost = 130.05 m
It says in the problem that the least he has been charged in a month is$72.45.
This means that the yearly cost is at least72.45.
In other words, the yearly cost is72.45 or bigger.
This can be expressed as 130.05 m ≥72.45
130.05 m ≥72.45
13- 130.05 m ≥72.45- 13
00.05 m ≥72.45- 13
m ≥59.45
Divide both sides by0.05
m/0.05 ≥59.45/0.05
m ≥ 1189
thus, Ryan used at least 1189 minutes
Question
For his phone service, Ryan pays a yearly figure of$13.00, and he pays an fresh$0.05 per nanosecond of use. The least he has been charged in a month is$72.45. What are the possible figures of twinkles he has used his phone in a month?
Use m for the number of twinkles, and break your inequality form.
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I NEED HELP ON THIS ASAP!!!!!!!
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.
What does a calculus domain mean?The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.
How to Determine a Function's Range?Think about the function y = f. (x). The range of the function is the range of all the y values, from least to maximum. Substitute all possible values of x into the provided expression of y to see whether it is positive, negative, or equal to other values.
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Select the correct answer.
Which function is the inverse of function f?
f(x)=x+2/7
Answer:
d
Step-by-step explanation:
beacusee its wiill will be resonable
The inverse of function of f(x) will be p(x) = 7x – 2. Then the correct option is B.
What is inverse of a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
Let the function will be
f: X → Y
Then the inverse function will be
f⁻¹: Y → X
The function is given below.
f(x) = (x + 2) / 7
Substitute p(x) in place of x and x in place of f(x). Then the equation of the inverse function will be
x = [p(x) + 2] / 7
Solve the equation for p(x), then the equation of the inverse function will be
p(x) + 2 = 7x
p(x) = 7x – 2
Thus, the inverse of function of f(x) will be p(x) = 7x – 2.
Then the correct option is B.
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Pls help me and thank youuu
Answer: 0.6 or 60 cents.
Step-by-step explanation:
Answer:
I believe it is $1.7.
Step-by-step explanation:
I rounded it from 1.666666667. Something like that.
A person invests 3000 dollars in a bank. The bank pays 6% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 7700 dollars?
Answer:
16 years approx
Step-by-step explanation:
Given data
P=$3000
r= 6%
A= $7700
t= ??
The compound interest formula is
A= P(1+r)^t
Calculate time, solve for t
t = ln(A/P) / r
substitute
t= ln(7700/3000)/0.06
t= ln(2.566)/0.06
t= 0.942/0.06
t= 15.7
The time is 16 years approx
find the apr, or stated rate, in each of the following cases. (do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. use 365 days in a year.)
The APR, or stated rate, is calculated as the annualized interest rate expressed as a percentage.
How to find the calculation for determining the APR or stated rate?The APR, or stated rate, represents the annualized interest rate on a loan or investment, expressed as a percentage.
To calculate the APR, we need to consider the nominal interest rate and the compounding frequency. The formula to calculate the APR is:
APR = (1 + nominal interest rate/compounding periods)^(compounding periods) - 1
The nominal interest rate is the stated rate without taking compounding into account.
The compounding periods refer to the number of times interest is compounded in a year, typically based on daily, monthly, or quarterly periods.
By applying the formula and considering the appropriate compounding periods, we can determine the APR.
The APR is an important metric as it allows for easy comparison of interest rates across different financial products.
It helps consumers and investors understand the true cost or yield associated with a loan or investment and enables them to make informed decisions.
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What is the lateral surface area of the triangular pyramid composed of equilateral triangles? Give your answer to the nearest tenth place.
The lateral surface area of the triangular pyramid is 187.2 ft²
What is lateral surface area of pyramid?The lateral area of a figure is the area of the non-base faces only. This means the surface area without the base area.
A pyramid is formed by connecting the bases to an apex. Therefore the lateral surface of a triangular pyramid is 3.
Area of a triangle = 1/2 bh
= 1/2 × 12 × 10.4
= 6 × 10.4
= 62.4 ft²
For the three triangles
= 3 × 62.4
= 187.2 ft²
Therefore that lateral surface area of the triangular pyramid is 187.2 ft²
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Determine whether each study described below is observational or designed, and explain your reasoning. Complete parts (a) and(b) below.
(a) A manager in a paper production facility installs one of three incentive programs in each of nine plants to determine the effect of each program on the overall productivity of the facility. (b) An electric utility engages a consultant to monitor the discharge from its smokestack on a monthly basis over a 1-year period in order to relate the level of sulfur dioxide in the discharge to the load on the facility's generators.
(a) It is a designed study because the manager intentionally installs different incentive programs to determine their effect on productivity. On the other hand, (b) is an observational study as it involves monitoring and measuring the relationship between sulfur dioxide levels and the facility's load without any manipulation of variables.
(a) The study described in (a) is a designed study. This is because the manager deliberately installs different incentive programs in each of the nine plants with the intention of determining the effect of each program on the overall productivity of the facility. By manipulating the independent variable (incentive programs), the manager is attempting to establish a cause-and-effect relationship between the programs and productivity. The study design allows for control over the variables and enables comparisons to be made between the different incentive programs.
(b) The study described in (b) is an observational study. This is because the electric utility is hiring a consultant to monitor the discharge from its smokestack on a monthly basis and relate the level of sulfur dioxide in the discharge to the load on the facility's generators. The researchers in this case are not actively intervening or manipulating any variables. They are simply observing and measuring the relationship between sulfur dioxide levels and the facility's load. The study does not involve any manipulation of variables or random assignment, making it an observational study.
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cos(x)=cos(−x) for x∈R, where x is the angle in standard position. True False
The statement "Cos(x) = Cos(-x) for x ∈ R, where x is the angle in standard position" is true.
In the trigonometric function cosine, the cosine of an angle measures the ratio of the adjacent side to the hypotenuse in a right triangle. The cosine function is an even function, which means it has symmetry about the y-axis. This symmetry property implies that the cosine of an angle is equal to the cosine of its negative angle.
When we consider angles in standard position, positive angles are measured counterclockwise from the positive x-axis, and negative angles are measured clockwise from the positive x-axis. Since the cosine function is even, the cosine values of an angle and its negative angle are equal.
Therefore, for any real value of x, the equation Cos(x) = Cos(-x) holds true.
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Show that the roots of the equation 2x + a(x-a)=0 are rational for any real value of a where a*0 Discuss the nature of the roots if a=0.
The root of the equation is rational for any real value of a where a>0. if a=0, the equation has a single root which is real and rational.
What are roots?In mathematics, the number that results in the initial number when multiplied by itself is called the root. For instance, 7 is the square root of 49 since 77=49. Because 49 is created by multiplying 7 by itself twice in this instance, we refer to 7 as the square root of 49. Since 333=27, the cube root of 27 is 3.
According to question:The given equation is 2x + a(x-a) = 0. Simplifying, we get:
\($\begin{align*}2x + ax - a^2 &= 0 \x(2+a) &= a^2 \x &= \frac{a^2}{2+a}\end{align*}\)
Therefore, the root of the equation is \(\frac{a^2}{2+a}$\).
To show that this root is rational for any real value of a where a>0, we need to show that \(\frac{a^2}{2+a}$\) can be expressed as a ratio of two integers.
Let \($p=a^2$\) and q=2+a. Since a>0, we have p>0 and q>0. Therefore, \(\frac{p}{q}$\) is a rational number.
Thus, the root of the equation is rational for any real value of a where a>0.
If a=0, the given equation becomes 2x=0, which has only one root, x=0. Therefore, if a=0, the equation has a single root which is real and rational.
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what are corresponding angles
a regression model involved 5 independent variables and 136 observations. the critical value of t for testing the significance of each of the independent variable's coefficients will have group of answer choices 121 degrees of freedom. 135 degrees of freedom. 130 degrees of freedom. 4 degrees of freedom.
The critical value of t for testing the significance of each of the independent variable's coefficients will have 130 degrees of freedom.
This is because the degrees of freedom for a t-test in a regression model with 5 independent variables and 136 observations is calculated as (n - k - 1) where n is the number of observations and k is the number of independent variables.
Therefore, (136 - 5 - 1) = 130 degrees of freedom.
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--- Ensures items requested match item numbers on DA Form 3151-R
--- Loads and secures the ammunition
--- Placards the vehicle
Which of the following tasks does the unit personnel perform when receiving ammunition?
When receiving ammunition, unit personnel perform three tasks: ensuring items requested match item numbers on DA Form 3151-R, loading and securing the ammunition, and placarding the vehicle.
The first task performed by unit personnel when receiving ammunition is to ensure that the items requested match the item numbers on DA Form 3151-R. This form serves as a record of the types and quantities of ammunition being received. By comparing the requested items with the item numbers on the form, personnel ensure accuracy and prevent any discrepancies or errors in the delivery.
The second task involves the loading and securing of the ammunition. Unit personnel are responsible for safely and efficiently loading the ammunition onto the designated vehicle or storage area. This includes following proper handling procedures, using appropriate equipment, and adhering to safety protocols. The ammunition must be securely stored and arranged to prevent shifting or damage during transportation.
The final task is to placard the vehicle. Placarding involves visibly displaying the necessary warning signs or labels on the vehicle that indicate the presence of ammunition. This step is crucial for safety and compliance purposes, as it alerts other personnel and drivers to exercise caution when approaching or handling the vehicle. Clear and prominent placarding helps prevent accidents and ensures that everyone involved is aware of the potential hazards associated with transporting ammunition.
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Determine the quotient of 1 and 2 over 3 divided by 4 over 5.
Answer:
it is 2
Step-by-step explanation:
Three pieces of wood are cut from a plank 1 metre long.
Each piece is 30 cm long.
How long is the piece left over
Answer:
The piece left over is 10 cm long
Step-by-step explanation:
1 metre = 100 cm
Each piece = 30 cm long
Number of piece = 3
30 × 3 = 90
100 - 90 = 10 cm
Therefore, the piece left over is 10 cm long
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
\(1 \frac{3}{16}\) inches
Step-by-step explanation:
\(3 \frac{3}{4} - 2 \frac{9}{16}\)
Convert into improper fractions:
\(3 \frac{3}{4} = \frac{15}{4}\) and \(2 \frac{9}{16} = \frac{41}{16}\)
LCD is 16 so multiply 15/4 by 4/4 to get 60/16
60/16 - 41/16 = 19/16 = \(1 \frac{3}{16}\) inches
un auto consume 12 litros de gasolina por cada 90km viajados que distancia puede viajar el auto con 4litros de gasolina , favor de poner la explicacion
Usando proporciones, hay que el auto puede viajar 30 km.
¿Qué es una proporción?Una proporción es una fracción de la cantidad total, y puede ser encontrada por intermedio de una regla de tres.
En este problema, la regla de tres es dada por:
12 litros - 90 km
4 litros - x km
Aplicando multiplicación cruzada:
\(12x = 360\)
\(x = 30\)
El auto puede viajar 30 km.
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A racehorse as a 3/10 chance of winning a derby. How could you simulate this probability in
order to run chance experiments?
Can someone help me with 15 16 17 18?
Answer:15)5760.1 6)78. 17)582.4 18)112
Step-by-step explanation:
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer: 9.7 seconds
Step-by-step explanation:
\(16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7\)
Describe a law you would pass to protect the bees from pesticides. How would this law be enforced?
Step-by-step explanation:
-Apply pesticides in the evening. Many pesticides are extremely toxic to honey Bees and other beneficial insects.
-Choose the appropriate formulation.
-Use less toxic, rapidly degradable pesticides.
-Alter application method.
-Establish apiaries in safe locations.
I hope I helped.
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Evaluate the logarithmic function for the given value.
f(x) = log5 x for f(125)
f(125)=(
HELP!
Answer:
\(f(125) = log_{5}(125 ) \\ = log_{5}( {5}^{3} ) = 3 log_{5}(5 ) = 3(1) = 3\)
José mete 5 goles cada 25 minutos de partido calcula mediante una regla de 3 cuantos goles marcará en 1 hora
Answer:
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Answer:
12 goles
Step-by-step explanation:
5 goles/25 min = x goles/60 min (multiplicación cruzada)
(60 * 5)/25 = x
300/25 = 12
it+is+known+that+10%+of+the+calculators+shipped+from+a+particular+factory+are+defective.+what+is+the+probability+that+none+in+a+random+sample+of+four+calculators+is+defective?
The probability that none of the calculators in a random sample of four is defective is 0.6561.
How can we calculate the probability that none of the calculators in a random sample of four is defective?To calculate the probability, we use the concept of independent events. Each calculator's defectiveness is assumed to be independent of others, meaning the probability of one calculator being defective does not affect the probability of another calculator being defective.
The probability of one calculator not being defective is obtained by subtracting the probability of it being defective (10%) from 1. Since we have four calculators, we multiply the probabilities of each calculator not being defective together.
P(None defective) = (0.90) * (0.90) * (0.90) * (0.90) = 0.6561.
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