Answer:
x=1, -3
Step-by-step explanation:
The definition of cube root
Answer:
The number which produces a given number when cubed.
Step-by-step explanation:
cube root
the number which produces a given number when cubed.
PLZ MARK BRAINLIST!!!
the number which produces a given number when cubed.
if it cost $6 to fill a gas tank in 1970 for $0.36, how much would it have cost to fill the same tank in 2010 for $2.84
7.8889 I think so so I divided 2.84%39=7.8889
Final answer:
To find the 2010 cost of filling a gas tank based on 1970 prices, divide the 1970 total cost by the price per gallon to find the number of gallons, then multiply that by the 2010 price per gallon. The cost to fill the same tank in 2010 would be $47.34.
Explanation:
The question is asking to calculate the cost of a full tank of gas in 2010 based on the cost from 1970. To find out how much it would cost in 2010, we need to first determine the number of gallons that could be bought for $6 in 1970 at $0.36 per gallon. This can be calculated by dividing $6 by $0.36, which equals 16.67 gallons (approximately). Now, assuming the tank size has not changed, to find out the cost in 2010, we multiply the number of gallons by the 2010 price per gallon. Thus, 16.67 gallons multiplied by $2.84 per gallon equals $47.34.
t(x) = 27x + 11 t(x) = x - 3 t(x) = 30x + 180 t(x) = 11x + 27 Lisa is preparing to be a contestant on a quiz game show. She has already read 15 additional pages of a history book and is reading 5 additional pages per day. She has already read 12 additional pages of a science book and is reading 6 additional pages per day.
Which function can Lisa use to determine the total number of pages that she will read after x days?
The answer is:
The function that can be used to determine the total number of pages that she will read after "x" days is:
[tex]t(x)=11x+27[/tex]
Why?From the statement, we know that Lisa's already read 15 plus 12 additional pages, that it's a fact that will not change over time. Also, we know that she is reading 5 plus 6 additional pages per day, so, the number of pages that she will read after "x" days.
So, determining the number of pages that she will read after "x" days, we have:
We are given that:
[tex]AlreadyReadPages=15+12=27\\PagesToReadPerDay=5+6=11[/tex]
Then, writing the equation, we have:
[tex]t(x)=11x+27[/tex]
Where,
[tex]t=TotalPages\\x=days\\11=PagesToReadPerDay\\27=AlreadyReadPages[/tex]
Hence, the function that can be used to determine the total number of pages that she will read after "x" days is:
[tex]t(x)=11x+27[/tex]
Have a nice day!
Find the surface area of the sphere
Answer:
[tex]\large\boxed{256\pi\ sq.in.}[/tex]
Step-by-step explanation:
The formula of a surface area of a sphere:
[tex]S.A.=4\pi R^2[/tex]
R - radius
We have R = 8 in. Substitute:
[tex]S.A.=4\pi(8^2)=4\pi(64)=256\pi\ in^2[/tex]
This Venn diagram shows sports played by 10 students .
Let event A = the student plays basketball
Let event B = The students play soccer.
What is p(a|b)?
ANSWER
The correct answer is C
EXPLANATION
The conditional probability, P(A|B) means,, probability of A given that B has occurred.
It is given by the formula:[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}[/tex]
From the Venn diagram, [tex]A\cap =[/tex]{Ian,Ella} and B={Lan,Ella,Micky,Mai, Marcus}
[tex]P(A\cap B)=\frac{2}{10}[/tex] and [tex]P(B)=\frac{5}{10}[/tex]
This implies that:
[tex]P(A|B)=\frac{\frac{2}{10} }{\frac{5}{10} } =\frac{2}{10}\times\frac{10}{5}=\frac{2}{5}[/tex]
The correct answer is C
Answer:
answer is C
Step-by-step explanation:
What is the value of x in this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
sin x = 32/58
We need to find the angle x.
Take the sine inverse on both sides.
Let arcsin = sine inverse
arcsin(sin x) = arcsin(32/58)
x = 33.485376623
Rounding off to the nearest hundredth, we get x = 33.49°.
Done!
Answer:
33.49
Step-by-step explanation:
I took the test
What is the area of triangle ABC
[tex]A=\frac{14\times8}{2}=\boxed{56cm^2}[/tex]
Answer:
56 cm^2
Step-by-step explanation:
Area of triangle is base times the height and divided by 2.
A = [tex]\frac{1}{2}[/tex] * 14 * 8
A = [tex]\frac{1}{2}[/tex] * 112
A = 56 cm^2
According to this diagram, what is tan 67° ?
Answer:
B. 12/5
Step-by-step explanation:
tan=opp. leg/adj. leg
tan 67= 12/5
According to this diagram, the tan67° is 12/5.
What is the tan67° from the given diagram?In Trigonometry, the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.In other words, it is the ratio of sine and cosine function of an acute angle such that the value of cosine function should not equal to zero.⇒ tan67° = perpendicular/base = 12/5.
Hence, the value of tan67° is 12/5.
To learn more about tan function, refer to:
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a car travels 30 1/5 miles in 2/5 of an a hour. what if the average speed, in miles, per hour of the car?
Answer:
Average speed = 30.2 miles / .4 hours =
75.5 mph
Step-by-step explanation:
Answer:
Average speed of the car is [tex]75.5\text{ miles per hour}[/tex].
Step-by-step explanation:
We are given the following information:
Distance traveled by the car =
[tex]30\displaystyle\frac{1}{5}\text{ miles}[/tex]
Time taken by the car =
[tex]\displaystyle\frac{2}{5}\text{ hours}[/tex]
Formula:
Speed = [tex]\displaystyle\frac{\text{Distance covered}}{\text{Time taken}}[/tex]
Putting all the values,
[tex]\text{Speed} = \displaystyle\frac{30\frac{1}{5}}{\frac{2}{5}} = \frac{\frac{151}{5}}{\frac{2}{5}} = \frac{151}{2} = 75.5\text{ miles per hour}[/tex]
Average speed of the car is [tex]75.5\text{ miles per hour}[/tex].
Is the distributive property used to help simplify math expressions
Answer:
yes,its one way to simplify equations.
Step-by-step explanation:
***PLEASE GIVE ME THE ANSWER*** I really need help I’m not very smart
Answer:
x=10
Step-by-step explanation:
110 and 8x + 30 are vertical angles, which means they are equal
110 = 8x+30
Subtract 30 from each side
110-30 = 8x+30 -30
80 = 8x
Divide each side by 8
80/8 = 8x/8
10 =x
6(x+xy)-5(y+2xy) how do I solve this problem?
[tex]
6(x+xy)-5(y+2xy)=6x+6xy-(5y+10xy) \\
6x+6xy-5y-10xy \\
\boxed{6x-5y-4xy}
[/tex]
Answer:
To solve this problem you would have to distribute the 5 and the 6. Once that is completed you would find the matching pairs and add or subtract them.
The answer is: 6x-4xy-5y
Step-by-step explanation:
Can someone pls help me with my math problem will give brainliest if correct!
37 over 8 or 37/8. I plugged it in on my calculator and it was correct.
Answer:
37 over 8 or 37/8 or 37:8 or[tex]\frac{37}{8}[/tex]
Step-by-step explanation:
Given f(x)=3x-1 and g(x)=2x-3,for which value of x does g(x)=f(2)
Answer:
x = 4
Step-by-step explanation:
Evaluate f(2) and equate to g(x)
f(2) = (3 × 2) - 1 = 6 - 1 = 5, then
2x - 3 = 5 ( add 3 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
The equation of a circle is (x+7)²+(y−13)²=196 .
What is the center of the circle?
Answer:im stuck on the same one
Step-by-step explanation:
The center of the circle is (-7,13)
Find the diameter of a circle with an area of 804.25 cm
Answer:
The diameter of a circle with an area of 804.25 cm is 32 cm
Step-by-step explanation:
We know that formula for area of circle is:
Area of Circle = πr^2
804.25 = 3.14 * r^2
=> r^2 = 804.25 / 3.14
r^2 = 256.13
Taking square root on both sides
√r^2 = √256.13
r = 16.0
and r is half of diameter i.e
r = diameter / 2
=> diameter = 2r
so, diameter = 2 * 16
diameter = 32 cm
So, the diameter of a circle with an area of 804.25 cm is 32 cm.
The diameter is approximately [tex]\(32.02\)[/tex] cm, calculated from [tex]\(d = 2 \times 16.01\)[/tex], where [tex]\(r \approx 16.01\)[/tex] cm.
To find the diameter of a circle with an area of 804.25 cm², follow these steps:
Step 1:
Recall the formula for the area [tex](\(A\))[/tex] of a circle: [tex]\(A = \pi r^2\)[/tex], where r is the radius of the circle.
Step 2:
We're given the area [tex]\(A = 804.25\)[/tex] cm². Rearrange the formula to solve for [tex]\(r\)[/tex]: [tex]\(r = \sqrt{\frac{A}{\pi}}\)[/tex].
Step 3:
Substitute the given area into the equation: [tex]\(r = \sqrt{\frac{804.25}{\pi}}\).[/tex]
Step 4:
Calculate the radius: [tex]\(r[/tex] ≈ [tex]\sqrt{\frac{804.25}{\pi}}[/tex] ≈ [tex]\sqrt{256.25}[/tex] ≈ 16.01 cm.
Step 5:
Recall that the diameter [tex](\(d\))[/tex] of a circle is twice the radius: [tex]\(d = 2r\)[/tex].
Step 6:
Substitute the calculated radius into the equation: [tex]\(d = 2 \times 16.01\)[/tex].
Step 7:
Calculate the diameter: [tex]\(d[/tex] ≈ [tex]2 \times 16.01[/tex] ≈ [tex]32.02\)[/tex] cm.
Therefore, the diameter of the circle with an area of 804.25 cm² is approximately 32.02 cm.
What is the area of this trapezoid
Will mark brainless to right answer and give thanks
Answer:
80
Step-by-step explanation:
area of trapezoid is given by formula
Area = [tex]\frac{a+b}{2}[/tex]h
where a is one base, b is another base and h is height
In given case, we have
a= 7+7+3 = 17
b= 3
h= 8
Substituting the values
Area= [tex]\frac{17+3}{2}[/tex] x 8
= [tex]\frac{20}{2}[/tex] x 8
= 10 x 8
= 80
!
Simplify the rational expression. X^2+3x+2/x^2+6x+5
A. X+2/X+5
B.3x+2/6x+5
C. X+2/2x+5
D. 3/7
Answer:
[tex]\large\boxed{A.\ \dfrac{x+2}{x+5}}[/tex]
Step-by-step explanation:
[tex]x^2+3x+2=x^2+x+2x+2=x(x+1)+2(x+1)=(x+1)(x+2)\\\\x^2+6x+5=x^2+x+5x+5=x(x+1)+5(x+1)=(x+1)(x+5)\\\\\dfrac{x^2+3x+2}{x^2+6x+5}=\dfrac{(x+1)(x+2)}{(x+1)(x+5)}\qquad\text{cancel}\ (x+1)\\\\=\dfrac{x+2}{x+5}[/tex]
Six is subtracted from a number the result is divided by four this result is added to 10 to give 30 what is the number
Answer: The number is 86.
Step-by-step explanation:
Hi, to answer this question we have to write an equation with the information given:
"Six subtracted from a number ", a number means the variable (x), and six subtracted from a number is "x -6".
"The result is divided by 4", so (x-6) /4.
This result is added to then, so: 10+ (x-6) /4.
And finally, to give 30 means that all the expression equals to 30.
10+ (x-6) /4 = 30
Solving:
(X-6) /4 = 30 -10
(X-6) /4 = 20
X-6 = 20x4
X-6 = 80
x =80+6
x= 86
The number is 86.
1. What is the value of X in the triangle? Round only you’re final answer to the nearest hundredth.
2. What is the value of Z in the triangle? Round only you’re final answer to the nearest hundredth.
3. What is the value of X in the triangle? Round only you’re final answer to the nearest hundredth.
Answer:
1. X = 23.8 cm
2. Z = 12.5 Inches
3. x = 14.03 Degrees
Step-by-step explanation:
1. Given
Hypotenuse=25 cm
Angle=18 Degrees
We will use the trigonometric ratios for right angled triangles for finding the value of X.
In the given triangle, as X is the base, we will use the ration which involves base and hypotenuse.
So,
cosθ= Base/Hypotenuse
cos18=X/25
0.9510=X/25
0.9510*25=X
X=23.775
X=23.8 cm
2.The ratio of cos will be used for this one too.
Here,
Base=10 inches
Angle=37 Degrees
cosθ= Base/Hypotenuse
cos37=10/Z
0.7986=10/Z
Z=10/0.7986
Z=12.521
Z=12.5 inches
3. As we know the values of perpendicular and base ,
So the ration which involves these both will be used.
The desired ratio is
tan x=Perpendicular/Base
tan x=5/20
tan x=0.25
x = tan^(-1)0.25
x = 14.03 Degrees ..
The value of X and Z in a triangle should be determined by performing mathematical operations and rounding according to the specific rules of significant figures for addition, subtraction, multiplication, and division, following proper rounding at the final calculation to ensure precision.
Explanation:To answer the question regarding the value of X and Z in a triangle, it's important to note that the rounding of numbers should be done according to certain rules based on the operations involved.
In addition and subtraction, the result should have the same number of decimal places as the measurement with the least number of decimal places. For instance, adding 135.621, 97.33, and 21.2163 we get 254.1673, which is then rounded to 254.17 since the hundredth's place is the last common decimal place.
With multiplication and division, the answer should have the same number of significant figures as the original measurement with the least significant figures. Thus, multiplying 1.35 by 2.1 we get 2.835 and round it off to 2.8.
When dealing with whole numbers or in a series of steps, pay close attention to significant figures and round off only after the final calculation to prevent inaccuracies.
As an example, the complex calculation (13.2 + 12.252) x (1.35 x 2.1) should be rounded only once, after the entire expression is evaluated, leading to a result of 72.
How to solve 105x2 +66x - 72 = 0 algebraically. Show work please
Answer:
Do pemdas, (parentheses, exponents, multiplication, division, addition and subtraction). But do whatever is first, which in this case is multiplication.
Step-by-step explanation:
Write the equation out.
105 x 2 + 66x -72 = ?
105 x 2 = 210
210 + 66x - 72
210 + 66x = 276x
276x - 72 = 204
? = 204
The Valdez family left at noon for a 4-hour trip to visit relatives. They stopped 1 hour for lunch and 2 hours to visit an amusement park. What time did they get to their relatives' house?
Answer:
7pm
Step-by-step explanation:
Noon means 12:00pm
Just add 3 hours to their originally 4 hour trip
(1 hour from lunch and 2 from the amusement park)
Answer:
7
Step-by-step explanation:
Find the circumference of a circle r=9
Answer:
56.52
Step-by-step explanation:
i did the iready lol
What is the greatest common factor of 15 and 5?
Answer:
Step-by-step explanation:
5
(Answer:5)The greatest common factor of 15 and 5 is, 5
suppose you have a twitter account with 120 followers. you want to impress your friends, so you purchase 1,000 fake followers from a shady online co. for $18. what percentage of followers are actually real? round to the nearest whole percent.
Answer:11%
Step-by-step explanation:
The percentage of followers are actually real = 11%
What is percentage?"It is a number or ratio that can be expressed as a fraction of 100."
For given example,
the number of real followers = 120
the number of fake followers purchased = 1000
So, the total number of followers are
= 1000 + 120
= 1120
Now, we find the percentage of followers that are actually real.
= (120/1120) × 100
= 0.1071 × 100
= 10.71%
≈ 11%
Therefore, the percentage of followers are actually real = 11%
Learn more about percentage here:
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If anyone can please help it would be nice. Algebra 2
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Substitute the given values for a, b and c into the expression, that is
5 + 6 + (7 × [tex]\frac{1}{7}[/tex])
= 11 + 1
= 12
Which of the following represents the zeros of f(x) = x3 − 4x2 − 5x + 20?
Final answer:
The zeros of f(x) = x^3 - 4x^2 - 5x + 20 are 4 and (-1 +/- sqrt(21)) / 2.
Explanation:
The given function is f(x) = x^3 - 4x^2 - 5x + 20. To find the zeros of the function, we need to solve the equation f(x) = 0. One way to find the zeros is by using synthetic division or polynomial long division. However, in this case, we can use factoring by grouping to simplify the equation:
f(x) = (x^3 - 5x) + (-4x^2 + 20)
f(x) = x(x^2 - 5) + (-4)(x^2 - 5)
f(x) = (x - 4)(x^2 + x - 5)
Setting each factor equal to zero, we have:
x - 4 = 0 ---> x = 4
x^2 + x - 5 = 0
Using the quadratic formula, we can find the solutions of the quadratic equation:
x = (-b +/- sqrt(b^2 - 4ac)) / (2a)
Plugging in the values a = 1, b = 1, and c = -5, we get:
x = (-1 +/- sqrt(1^2 - 4(1)(-5))) / (2(1))
x = (-1 +/- sqrt(1 + 20)) / 2
x = (-1 +/- sqrt(21)) / 2
So, the zeros of f(x) = x^3 - 4x^2 - 5x + 20 are x = 4 and x = (-1 +/- sqrt(21)) / 2.
92. Rachel is baking cookies. She needs 1/4 cup of
oil. She notices that her measuring devices are
only marked in ounces, not cups.
How many ounces of oil will Rachel need
Answer:
2 fluid ounces
Step-by-step explanation:
It's angle addition sovle for x please help
Answer:
x=-5/3
Step-by-step explanation:
ABD + DBC = ABC
Substitute the values
6x+9 + x+1 = 10x+15
Combine like terms
7x+10 = 10x+15
Subtract 7x from each side
7x-7x+10 = 10x-7x+15
10 = 3x+15
Subtract 15 from each side
10-15 = 3x+15-15
-5 =3x
Divide each side by 3
-5/3 =x
This will give us a negative value for DBC
DBC = -5/3 +3/3 = -2/3
We cannot have a negative value for an angle
Check the values given.
what is the remainder when 9,857 is divided by 82? A) 16 B) 17 C) 19 D) 21
Answer:
B) 17
Step-by-step explanation:
9857/82=120.....
120*82=8940
9857-9840=17
ANSWER
B) 17
EXPLANATION
We want to find the remainder when, 9857 is divided by 82.
We carry out the long division as shown in the attachment.
We can see that
[tex]9857 = 82 \times 120+ 17[/tex]
Hence the remainder is 17.
The correct answer is B.