Answer:
area of the circle
area=7.54
Frankie’s weekly budget includes a long-term goal of purchasing a car. He is saving $15 a week toward that goal. He is considering saving up his money to purchase his grandmother’s older car. Frankie knows his grandmother has maintained the car and it is in good condition. She is also giving him a greatly discounted price of $800. What should Frankie consider before buying the car? Check all that apply. what he will be giving up if he spends $800 on the car the cost to maintain (oil, tires, gas, brakes) and insure the car how many of his friends have cars his short- and long-term financial goals if an alternate mode of transportation, such as a bicycle or the bus, is sufficient for his needs
The decision of purchasing a car must be taken by Frankie after considering the following points:
1. what he will be giving up if he spends $800 on the car
2. The cost to maintain and ensure the car
3. his short- and long-term financial goals
4. if an alternate mode of transportation, such as a bicycle or the bus, is sufficient for his needs.
What is the point he must know about purchasing a car?Frankie is an individual person when he wants to purchase a car that is his long-term goal.
he must consider various things before making such a big expenditure.
The points to be noted before purchasing a car are:
what is the cost for Frankie for spending $800?
What will be the maintenance and insurance cost?
He must check his other short and long-term goals before purchasing a car.
Is the expense of the car a necessity for Frankie or he can use public transport.
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Answer:
Step-by-step explanation: thank me later
A,B,E
If a study determines the difference in average salary for subpopulations of mechanical engineers and civil engineers is NOT significant, then the subpopulations of mechanical and civil engineers are ________ different salaries.
The subpopulations of mechanical and civil engineers are not earning different salaries.
Difference in average salaryIf a study determines the difference in average salary for subpopulations of mechanical engineers and civil engineers is NOT significant.
This assertion simply means that average salaries of the mechanical and civil engineers are not different.
Thus, the subpopulations of mechanical and civil engineers are not earning different salaries.
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Celia needs 75% of the marks in an exam to pass. She gets 4/5 of the marks. Does she pass the course? Show your working to justify your answer
Answer:
Yes, she passes with 80%
Step-by-step explanation:
4 divided by 5 = 0.8
0.8 multiplied by 100 = 80%
80% is greater than the required 75% needed to pass
Answer:
Yes
Step-by-step explanation:
First lets establish the key points
We know she needs 75% to pass and she gets 4/5 of the marks
Lets make 4/5 a decimal 4/5 X 2/2 is 8/10 better know as .8
.75 = 75%
.8 = 80%
80% > 75%
Meaning She PASSED!!!
Find the average rate of change of the function on the interval specified.
g(x) = 7x3 − 4
on
[−3, 3]
The average rate of change of the function will be 63.
The average rate of change of the function is used to find the slope of the graphed function which can be calculated by the change in y value divided by the change in x value.
The average rate of change of function f(x) in the interval [a,b] can be calculated as avearge rate of change= (f(b)- f(a))/(b-a)
Here given function is g(x) = 7x³-4
which is defined in the interval [-3,3].
So using the defination of the average rate of change, The average rate of change= (g(3)-g(-3))/(3-(-3))
= {(7(3³)-4)-(7*(-3)³-4)}/(3-(-3))
= {(189-4)-(-189-4)}/(3+3)
= (185-(-193))/6
= (185+193)/6
= 378/6
= 63
Therefore the average rate of change of the function will be 63.
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Determine algebraically whether the function is even, odd, or neither: f(x)=3x ³ +5
A Store-It-All storage facility requires users to enter a four digit code, using numbers 0-9, to get through the
gate. You need to get a box of winter clothes from your storage container, but you forgot the code.
1. How many possible codes are there if the digits cannot be repeated?
There are
possible codes.
2. What is the probability that you will guess the correct code on your first try?
P(correct code) =
3. If the digits can be repeated, how many possible codes are there?
There are
different codes.
Answer:
Step-by-step explanation: 1. 5040 because 10x9x8x7
3. 10000 because 10^4=1000
1)There are 5040 possible codes are there if the digits cannot be repeated.
2)The probability that you will guess the correct code on your first try will be (1/5040).
3) Possible code = 10000 .
Given,
Numbers : 0 to 9
Here,
Total number of digit = 0,1,2,3,4,5,6,7,8,9
Given condition;
a)
Four digit card must be drawn;
The total possible ways there if the digits cannot be repeated will be;
⇒10×9×8×7
⇒5040
b)
The probability that you will guess the correct code on your first try is;
P(A) = n(A)/n(S)
Where,
n(A) is the event has the right code
n(S) is the total possible ways;
P(A) =1/5040
Hence the total possible ways there if the digits cannot be repeated and the probability that you will guess the correct code on your first try will be 5040 and (1/5040) respectively.
c)
If the gits can be repeated then we have 10 digits for each place :
Possible code = 10 * 10 * 10 *10
Possible code = 10000
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3.
2. The diagram below is divided into equal parts. Which fraction of the parts is
white?
Mark only one oval.
Option 1
Option 3
37
314
I
Option 2
47
Option 4
4/3
Step-by-step explanation:
simply count them.
there are 7 little rectangles building the whole.
from these 7, 4 are gray and 3 are white.
so, 3 of 7 are white.
that means,
3/7 of all the parts are white.
Choose True or False, (T or F). Data are recorded observations used for explaining conditions of particular phenomenon
Answer:
true
Step-by-step explanation:
this is absolutely true
-0.38 written as a fraction is
A farmer has decided to divide his land area in half in order to plant soy and corn. Calculate the area of the entire area so he knows how much soil is needed.
A parallelogram with a height of 6 yards and side length 9 yards. The height forms a triangle with the slanted side of the rhombus with a base of 2.5 yards. Rhombus is split into a soy half and a corn half.
Each bag of soil covers 20 square yards. How many bags should the farmer purchase?
The farmer should purchase 2 bags of soil for his farm.
What is Area of rectangle?Area of rectangle is the region occupied by a rectangle within its four sides or boundaries. The area of a rectangle depends on its sides.
The shape of the farm, according to the picture is a parallelogram. the total area can be calculated as follows:
Area = b X h
where
b = base
h = height
base = 6.5 + 2.5 = 9.0 yards
height = 6 yards
Area = 6 × 9 = 54 square yards.
40 square yards requires 1 bag of soil .
54 square yards will require ?
cross multiply
Bags required = 54 / 40 = 1.35 bag
Thus, the farmer will require 2 bags of soil for his farm.
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three-quarters of a pile of bricks were used for a certain project. when two thirds of the reminder had been used, 50 bricks were left. how many bricks were there in the original pile?
Answer:
600
Step-by-step explanation:
Let's consider this question using algebra.
Imagine the number of bricks in the original pile is [tex]x[/tex].
We are told that [tex]\frac{3}{4}[/tex] of the bricks are used for a project, meaning that [tex]\frac{3}{4} x[/tex] has been used, leaving us with [tex]\frac{1}{4}x[/tex] as our remainder.
Then, we are told that [tex]\frac{2}{3}[/tex] of the remainder are used to leave us with 50 bricks. This means that [tex]\frac{1}{3}[/tex] of the remainder is left, and this is equal to 50 bricks. This means that the remainder's original amount is equal to 150, because we are told that [tex]\frac{1}{3}[/tex] of the remainder is equal to 50.
So, we know that the remainder is 150, and we also know that the remainder is [tex]\frac{1}{4} x[/tex]. Let's now use these to form an equation.
[tex]\frac{1}{4} x = 150[/tex]
Because we know that a quarter of the original amount of bricks is equal to 150, we can multiply both sides of the equation by 4 to get the original amount of bricks in the pile.
[tex]x = 150 * 4 = 600[/tex]
So, there were 600 bricks in the original pile.
10, 18 y 36 hallar el m.c.m por descomposición simultanea:
Considerando la definición de mínimo común múltiplo, el mínimo común múltiplo entre 10, 18 y 36 es 180.
Mínimo común múltiploUn número es múltiplo de otro cuando lo contiene n veces de forma exacta. Es decir, los múltiplos de un número son aquellos que obtienes cuando multiplicas un número por otros.
El mínimo común múltiplo (mcm) es la cifra más pequeña que satisface la condición de ser múltiplo de todos los elementos de un conjunto de números. En otras palabras, el mínimo común múltiplo (mcm) es el número positivo más pequeño que es múltiplo de dos o más números.
Una forma de calcular el mcm es descomponiendo los números en sus divisores (número que está contenido en otro de forma exacta una cantidad n de veces) y que estos sean números primos (que solo pueden dividirse entre ellos mismos y el 1 para obtener un número entero). Es decir, se debe descomponer en factores primos cada número.
Luego, se debe seleccionar los factores primos comunes y no comunes con mayor exponente para finalmente multiplicar los factores primos seleccionados.
M.C.M en este casoEn primer lugar, se descomponen los números:
10= 2×518=2×3×3= 2×3²36=2×2×3×3= 2²×3²Los factores primos comunes y no comunes con mayor exponente:
2²3²5Entonces, el mínimo común múltiplo entre 10, 18 y 36 es calculada como:
M.C.M(10,18,36)= 2²×3²×5= 2×2×3×3×5= 180
Finalmente, el mínimo común múltiplo entre 10, 18 y 36 es 180.
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cos^2 x = (1 - cos 2x)/2 A. True B. False
We know that cos2x=cos²x-sin²x
=cos²x-(1-cos²x) [since, cos²x+sin²x=1]
=cos²x-1+cos²x
=2cos²x-1
So, cos2x=2cos²x-1
Hence, cos²x= (1+cos2x)/2
Trigonometric Identities are useful whenever trigonometric functions are involved in an expression or an equation. Trigonometric Identities are true for every value of variables occurring on both sides of an equation. Geometrically, these identities involve certain trigonometric functions (such as sine, cosine, tangent) of one or more angles.
Most common trigonometric identities are:
- cos²x + sin²x = 1
- sec²x - tan²x = 1
- cosec²x - cot²x = 1
- cos2x = cos²x - sin²x
Therefore we get that the statement cos² x = (1 - cos 2x)/2 is false.
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If a and b are two distinct primes, the ab2 has ___ positive divisors.
The number ab², where a and b are prime numbers, has 6 divisors.
How many divisors are for the given expression?Remember that any number can be written as a product of primes, for example, 15 can be written as:
15 = 3*5
Where 3 and 5 are primes.
Such that the divisors of 15 are the factors made with the primes on the right side.
So for the number:
N = a*b^2 = a*b*b
The divisors are:
a, b, a*b, b*b
And trivially, itself and 1, so there are a total of 6 divisors.
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The percentage of automobile consumers who are under 50 years of age decreased approximately linearly from 58.8% in 1980 to 50.5% in 1995.
(A) Predict when the percentage will be 47%.
(B) Predict the percentage in 2005.
Using a linear function, we have that:
a) The percentage will be 47% during the year of 2001.
b) The predicted percentage in 2005 is of 44.97%.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The percentage in 1980 is considered as the initial amount, hence b = 58.8. In 15 years, the percentage decreased from 58.8% to 50.5%, hence the slope is given by:
m = (50.5 - 58.8)/15 = 0.5533.
Hence the percentage in t years after 1980 is given by:
P(t) = 58.8 - 0.5533t.
Item a:
This is t + 1980, for which P(t) = 47, hence:
P(t) = 58.8 - 0.5533t
47 = 58.8 - 0.5533t.
0.5533t = 11.8.
t = 11.8/0.5533
t = 21.3.
1980 + 21 = 2001, hence the percentage will be 47% during the year of 2001.
Item b:
2005 is 25 years after 1980, hence the percentage is P(25), given as follows:
P(25) = 58.8 - 0.5533x25 = 44.97%.
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...............
................
Let the numbers be x and x/7
Now
sum=824x+x/7=8248x/7=8248x=824(7)8x=5768x=721The numbers are
721 and 721/7=103Answer:
7x+X=824
8X/8=834/8
x=108
Step-by-step explanation:
hope I helped
parallelogram
b=12 cm, h=10 cm, a=
It takes 70 pounds of seed to completely plant an 8-acre field. How many acres can be planted per pound of seed?
No. of pounds of seed it takes to plant an 8-acre field = 70 pounds.
No. of acres can be planted per pound of seed = 70/8
= 8.75.
thus, 8.75 acres can be planted per pound of seed.
6. What is the cube of 8?
A. 64
B. 2
C. 512
D. 24
Answer : C. 512
step-by-step explanation :
8 8(square) = 8² = 8 × 8= 64 8(cube) = 8³ = 8 × 8 × 8 = 64 × 8 512
[tex]\qquad\qquad\qquad\boxed{\bf\:\: \: (c) \: 512}[/tex]
[tex] \purple{\bold{\underline{\underline{ Cube \: of \: 8 \: is = 512:}}}}[/tex]
[tex]\red{\bold{\underline{\underline{so \: option \:( c ) \: is \: correct \: \: :}}}}[/tex]
[tex]\orange{\bold{\underline{\underline{ more \: additional \: information \: :}}}}[/tex]
if a number is multi by by itself 3 then the obtained number is called cube.the cube of a natural number is that given number raised to the power 3PROPERTIES -: cube of all even natural number is always even.cubes of all odd natural number are odd.the cube of natural number ending a zero has 3 on it.the cube of the natural number ending with one was one is it unit digitcube of negative number always negative.To find Cubes -:
direct methodalternate methodcolum methodTo find Cube Root -:
prime factorizationsuccessive subtraction method.estimation methodWhat is 60 percent of 92?
•
1.53
•
5.52
•
15.3
O 55.2
49:03 mins pls help me with this
60 percent of 92 is 55.2
How to determine the percentage?The statement is given as:
60 percent of 92
This means:
60% of 92
Express of as *
60% * 92
Evaluate the product
55.2
Hence, 60 percent of 92 is 55.2
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Determine whether each ordered pair is a solution to the inequality −7x−y>2.
Answer:
[tex]x < - \frac{2 + y}{7} [/tex]
Step-by-step explanation:
[tex] - 7x > 2 + y \\ x < - \frac{2 + y}{7} [/tex]
please answer just look at how many points i will give
Answer:
(6,2)
Step-by-step explanation:
When solving a system of simultaneous equations, we want to see where the graphs intersect.
2x+5y =22 is the red line
x+y = 8 is the green line
They intersect at a point
The point is x=6 y=2
(6,2)
Find the radius of this sphere. Then calculate the volume of a sphere
Answer:
Since we want to find radius and the diameter is 28 we will divide by two = ²⁸/2 which gives a radius of 14
since the radius is 14cm. we move on to the volume .
WE SUBSTITUTE
⁴/3× ²²/7× 14 equals 58.2cm²
therefore radius; 14cm
volume; 58.2cm
If you have 100 apples and you take 30 how many do you have?
Answer:
70 (100-30)
Rambling (Unrelated):
Although if you take 30 apples from your own stockpile of 100 apples, you still have 100 apples
100 apples
If the hypotenuse of a 30-60-90 degree triangle is 14, what is the short leg?
Answer:
7 units
Step-by-step explanation:
The short leg is opposite the 30 degree angle
sin 30 = opposite side/ hypotenuse
Hypotenuse * sin 30 = opposite side = 14 * 1/2 = 7 units
I also dont get this :(
An equation is formed of two equal expressions. If x is increased by 5 then the value of y is increased by 10.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that y=2x+1, now if the value of x increased by 5. then the value of y will be,
[tex]y_1=2(x+5)+1\\y_1 = 2x + 11[/tex]
Now if we compare y and y₁, then it can be said that if x is increased by 5 then the value of y is increased by 10.
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A student wanted to find the sum of all the even numbers from 1 to 100. He said: The sum of all the even numbers from 1 to 100 is twice the sum of all the odd numbers from 1 to 100. The sum of all the odd numbers from 1 to 100 is 1002. Explain why each of these statements is incorrect. HELP ME ASAP
Statement 1
Twice the sum of the odd numbers would be:
[tex]2(1+3+5+\cdots+99)=2+6+10+\cdots+198[/tex], which is not equal to the sum of all the even numbers from 1 to 100.
Statement 2
The sum of all the odd numbers from 1 to 100 can be thought of as an arithmetic sequence containing 50 terms, with first term 1 and common difference 2. This means the sum of the series would be:
[tex]\frac{50}{2}[2(1)+(50-1)(2)]=2500[/tex]
which is not equal to 1002.
The statement 1 and the statement 2 are incorrect.
The sum of the arithmetic series of first term a₁ and common difference d will be s= n/2{2a₁+(n-1)d
Statement 1:
Given in statement 1, Twice the sum of the odd numbers would be:
2(1+3+5+7.......+99)=2+6+10+14+.....198
which is not equal to the sum of all the even numbers from 1 to 100.
Statement 2:
The sum of all the odd numbers from 1 to 100 can be calculated as follows where this is an arithmetic sequence of 50 terms, where the first term is 1 and the common difference is 2. This means the sum of the arithmetic series would be:
s= n/2{2a₁+(n-1)d}
putting the above formula
a₁=1
n=50
d=2
s= 50/2{2(1)+(50-1)2} = 25{2+98} =2500 ≠1002
which is not equal to 1002.
Therefore statement 1 and 2 are incorrect.
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What is the solution to this equation? 2ln4+lnx=3ln2+ln(x+1)
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
Given equation:
[tex]2 \ln 4+\ln x=3 \ln 2+\ln(x+1)[/tex]
[tex]\textsf{Apply the power law}: \quad n \ln x = \ln x^n[/tex]
[tex]\implies \ln 4^2+\ln x=\ln 2^3+\ln(x+1)[/tex]
Simplify:
[tex]\implies \ln 16+\ln x=\ln 8+\ln(x+1)[/tex]
Subtract ln 8 from both sides:
[tex]\implies \ln 16+\ln x- \ln 8=\ln(x+1)[/tex]
Subtract ln x from both sides:
[tex]\implies \ln 16-\ln 8=\ln(x+1)-\ln x[/tex]
[tex]\textsf{Apply the quotient law}: \quad \ln x - \ln y = \ln \frac{x}{y}[/tex]
[tex]\implies \ln \left\dfrac{16}{8}\right = \ln \left(\dfrac{x+1}{x}\right)[/tex]
Simplify:
[tex]\implies \ln 2 = \ln \left(\dfrac{x+1}{x}\right)[/tex]
[tex]\textsf{Apply the equality law}: \quad \textsf{if }\: \ln x= \ln y\:\textsf{ then }\:x=y[/tex]
[tex]\implies 2=\dfrac{x+1}{x}[/tex]
Multiply both sides by x:
[tex]\implies 2x=x+1[/tex]
Subtract x from both sides:
[tex]\implies x=1[/tex]
A. Find the slope of the lines through the pairs of points, (1,-8) and (1,-9) the slope is m=
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: slope = not \:\: defined [/tex]
with closest value = [tex] \sf{\infin} [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: slope = \cfrac{rise}{run}[/tex]
[tex]\qquad \tt \rightarrow \: m = \cfrac{ - 8 - ( - 9)}{1 - 1} [/tex]
[tex]\qquad \tt \rightarrow \: m = \cfrac{ - 8 + 9}{0} [/tex]
[tex]\qquad \tt \rightarrow \: m \: \: is \: \: not \: \: defined[/tex]
[ Any real number divided by 0 is not defined ]
You can also assume it's closest value if possible, that is infinity ([tex]\sf{\infin}[/tex])
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
If Yang solves the inequality -4y> -40, then which of the following answers would be true for this claim?
Answer:
(a) 9, 8, 7, 6, 5, ...
Step-by-step explanation:
The solution to the inequality can be done a couple of ways. The solution is similar to that for a one-step linear equation.
__
reverse inequalityWe know that multiplying numbers by a negative value reverses their order. For example, 1 < 2, but -1 > -2. That is, multiplying by -1 requires a change in the comparison operator if it is to remain true.
For our inequality, we want to solve it by multiplying both sides by -1/4:
-4y > -40
(-1/4)(-4y) < (-1/4)(-40) . . . . . multiply both sides by -1/4 (reverses order)
y < 10 . . . . . . . . . . . simplify
The first few decreasing integer values that are part of this solution are ...
{9, 8, 7, 6, 5, ...}
__
make coefficients positiveWe can add 4y+40 to both sides of the inequality. The result will be an inequality with positive coefficients. This can be solved in one step.
-4y > -40 . . . . . given
(-4y) +(4y +40) > (-40) +(4y +40) . . . . . . add 4y+40 to both sides
40 > 4y . . . . . . . . . . . . . . . simplify
10 > y . . . . . . . . . . . . divide by 10 (order is unchanged)
y < 10 . . . . . . . . . rearrange to put y on the left
Integer solutions to this inequality are ...
{9, 8, 7, 6, 5, ...}
