25 points! Please help and solve step by step. Solve for x and check for extraneous solutions.
(X-2)^2/3 + 13 = 5
Answer:
no solutions
Step-by-step explanation:
(X-2)^2/3 + 13 = 5
Subtract 13 from each side
(X-2)^2/3 + 13-13 = 5-13
(x-2) ^2/3 = -8
Raise each to the 3/2 power
(x-2) ^2/3 ^3/2= -8^3/2
(x-2) = (-512) ^1/2
We cannot take the square root of a negative number and remain in the real number system
There are no solutions
Answer:
No real solutions
Imaginary/complex solutions:
x = 2 +/- 16sqrt(2)i
Step-by-step explanation:
(X-2)^2/3 + 13 = 5
(X-2)^2/3 = -8
(X - 2)² = (-8)³
X - 2 = +/- sqrt(-512)
No real solution
x = 2 +/- 16sqrt(2)i
(2 +/- 16sqrt(2)i - 2)^⅔ + 13 = 5
[(+/- 16sqrt(2)i)²]^⅓ + 13 = 5
(-512)^⅓ + 13 = 5
-8 + 13 = 5
5 = 5
Theater a sells popcorn in a rectangular prism theater B sells popcorn in a similar tub both cost five dollars which theater gives you a better deal find the volume of theater is popcorn
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the dimensions of tubs used by theatre A and B is missing.
However, I'll solve the question as follows.
First, it should be noted that the tub with highest volume gives the best deal.
This is so because both pop corns go for the same price of $5 and the tub with the highest volume contains more popcorn.
The volume of a rectangular prism is calculated by
Volume = Length * Breadth * Height
Take for instance, the dimension of tub A is length = 4cm, breadth = 5cm and height = 6cm
And the dimension of tub B is length = 3cm, breadth = 7cm and height = 5cm
The volume of tub A (theatre A) = 4cm * 5cm * 6cm
Volume = 120cm³
The volume of tub B (theatre B) = 3cm * 7cm * 5cm
Volume = 105cm³
Because the volume of tub A is greater than that of tube B, then tube A offers the best deal
If you apply this steps in your question, you'll arrive at the right answer.
Stir-fry is Vince's favorite food to cook, but it always makes a lot of smoke! Vince needs to know the volume of his kitchen so he can buy a fan that is the right size. Vince's kitchen has a floor area of 85 square feet. The height of the ceiling is 8 feet. What is the volume of Vince's kitchen?
Answer:
The volume of Vince’s Kitchen is 680 cubic feet
Step-by-step explanation:
To calculate the volume of Vince’s kitchen, what is needed to be done is to multiply the area of the floor by the height of the kitchen
Mathematically Volume V of kitchen = area of kitchen floor * height of kitchen
From the question, the area of the kitchen floor = 85 square feet
Height of kitchen = 8 feet
Plugging these values to get the area of the Kitchen, we have;
V = 8 * 85 = 680 cubic feet
11=3x-4
x=....
thanks all
Answer:
the value of x is 5 .
Step-by-step explanation:
In order to find the value of x, you have to move the unrelated terms to the other side by adding 4 to both sides :
[tex]11 = 3x - 4[/tex]
[tex]11 + 4 = 3x - 4 + 4[/tex]
[tex]15 = 3x[/tex]
Next, you have to divide it by 3 :
[tex]3x = 15[/tex]
[tex]x = 15 \div 3[/tex]
[tex]x = 5[/tex]
Answer:
the answer is attached to the picture
Step-by-step explanation:
hope this helps
A salad recipe calls for 1 cups of chopped tomatoes. The recipe calls for 4 times as many cups of lettuce as tomatoes. How many cups of lettuce do you need for this recipe?
Answer:
You need 4 cups.
Step-by-step explanation:
If you have 1 cup of tomatoes, and you need 4 times the amount of lettuce, you multiply 1 times 4. Giving you 4 cups of lettuce.
What is the perimeter of a cross section perpendicular to face QRST of the cube show below
Answer:
Please provide an image of what you are talking about. That way we can help you more
Answer:
the answer is 8 units
of the cube shown
This is my second time asking pls i need help seriously
A culture started with 2,000 bacteria. After 2
hours, it grew to 2,200 bacteria. Predict how
many bacteria will be present after 19 hours.
Round your answer to the nearest whole
number.
und to four
P = Aekt
Enter the correct answer
DONE
O
?
Answer:
2450
Step-by-step explanation:
First you will divide;
200÷4=50
Then you multiply;
50×9=450
Last you add;
2000+450=2450
Hope this helps :D
Answer:
4949 is your answer
Step-by-step explanation:
help plz! (a + b - c)(a + b + c) multiplying polynomials
Answer:
a^2 + 2ab + b^2 - c^2
Step-by-step explanation:
When you multiply all the terms together you get a^2 + ab + ac + ab + b^2 + bc - ac - bc - c^2. Then you can just combine like terms and simplify it to a^2 + 2ab + b^2 - c^2. Hope this helps :)
To the nearest foot, what is the radius of the Ferris wheel if you traveled 157 feet? feet
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityGeometryCircumference Formula(s):
[tex]\displaystyle\begin{aligned}C & = 2 \pi r \\& = \pi d\end{aligned}[/tex]
where d is the diameter and r is the radius.
ApplicationStep 1: DefineLet's organize what is given to us in the problem.
We are given that we are riding a Ferris wheel and have traveled 157 feet.
Step 2: SolveLet's find the radius of the Ferris wheel, which can be geometrically described as a circle. We use the Circumference Formula found above:
[Circumference Formula] Substitute in known variables (take π ≈ 3.14):∴ the radius of the Ferris wheel is equal to 25 feet.
Answer*Note: A similar question is found here w/ two different answers - https://brainly.com/question/8607274
The radius of the Ferris wheel is equal to 25 feet. The diameter of the Ferris wheel is equal to 50 feet. Recall that diameter is 2x the radius.
___
Learn more about circles: https://brainly.com/question/15306477
Learn more about Geometry: https://brainly.com/question/23669892
___
Topic: Geometry
Unit: Circles
Answer:
50 feet
Step-by-step explanation:
trust
Habib is making some scones.
His recipe tells him to bake the scones at 356°F for 30 minutes.
The temperature gauge on Habib's oven shows the temperature in
degrees Celsius, "C.
The formula to convert °F (Fahrenheit) into °C is:
C = 5F - 160
At what temperature, in °C, should Habib bake his scones?
Answer:
1620°C
Step-by-step explanation:
Using the equation
C = 5F - 160, at 356°F we'll have
C = 5(356) - 160
C = 1780 - 160
C = 1620°C
What is the area of the triangle (I need this today pls help)
Answer: 24 units^2
(12*4)/(2)=24
Step-by-step explanation:
Answer:
Step-by-step explanation:
4*12/0.5=96
conner has a bag of coloured tiles. there are 1 green, 3 black, 5 blue and 6 red. he reaches into the bag and chooses 1 tile without looking. what is the probibility that the tile is not red?
Answer:
Um, i'm not the best but I'm trying my best, but I think it is 66%
Step-by-step explanation:
Hope this helps
Which of the pairs of angles are vertical angles and
thus congruent?
Answer:
When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal. ... Two angles are said to be complementary when the sum of the two angles is 90°.
Step-by-step explanation:
Answer:
A+G
Step-by-step explanation:
:D
Solve the following inequality for p. Write your answer in simplest form.
6p+5≤-2p-5
Answer:
p≤-5/4
Step-by-step explanation:
Move variable to the left hand side and change its sign, move the constant tp the right hand side and change its sign
6p+2p+5≤-5
Collect like terms
8p≤-5-5
8p≤-10
Divide both sides of the inequality by 8
p≤-5/4
The combustion of 0.25 mol of an unknown
organic compound results in the release of 320 kJ
of energy. Which of the compounds in the table
could be the unknown compound?
Answer:
ethanol
Step-by-step explanation:
The enthalpy of combustion is the amount of heat produced when one mole of ethanol undergoes complete combustion at 25 ° C and 1 atmosphere pressure, yielding products also at 25 ° C and 1 atm.
The enthalpy of combustion of the unknown compound is
ΔH = - 320 kJ / 0.25 mol = - 1280 kJ / mol
To choose a probable compound according to this combustion enthalpy, we must evaluate the deviation in relation to the values reported in the literature for the three probable compounds (methane, ethylene and ethanol). The deviation (e%) will be calculated according to the following equation,
e% = ( | ΔHx - ΔH | / ΔHx ) x 100%
where ΔHx is the enthalpy of combustion of the probable compound.
The following table shows the combustion enthalpies of the probable compounds and their deviation in relation to the enthalpy of ΔH = - 1280 kJ / mol
Compound Enthalpy of combustion (kJ/mol) Deviation
Methane - 890.7 43.8%
Ehylene -1411.2 9.3%
Ethanol -1368.6 6.5%
According to the previous table, we can say that the most probable compound is ethanol, since it has the smallest deviation in relation to the experimental enthalpy value of combustion.
Read more on Brainly.com - https://brainly.com/question/12081414#readmore
Answer: ethanol
Step-by-step explanation:
Got it right on edge
Given DOG, find DG.
Round your answer to the nearest hundredth.
Answer:
DG = 31.75
Step-by-step explanation:
The question is incomplete; however, I'll answer your question using attached image.
From the attachment,
<G = 72° and DO = 8.2
Required
DG?
To get the length of side DG, We have to look for a trigonometric ratio that relates DG, DO and <G together.
DG represents the hypothenus of the triangle;
DO represents the opposite of the triangle;
The two sides are bound by the sine function.
i.e.
Sin72° = DO/DG
Sin72° = 8.2/DG
Multiply both sides by DG
DG * Sin72 = 8.2/DG * DG
DG * Sin72 = 8.2
Sin72 = 0.2538
So, DG * Sin72 = 8.2 becomes
DG * 0.2538 = 8.2
Divide both sides by 0.2583
DG * 0.2583/0.2583 = 8.2/0.2583
DG = 8.2/0.2583
DG = 31.746031746
DG = 31.75 --- Approximated
Solve the system of inequalities and indicate all the integers which are in the solution set:
[tex]\left \{ {{3-2a\ \textless \ 13} \atop {5a\ \textless \ 17}} \right.[/tex]
Answer:
-5 < a < 3.4
Step-by-step explanation:
3 - 2a < 13
3 - 13 < 2a
2a > -10
a > -5
5a < 17
a < 3.4
Solution:
-5 < a < 3.4
Step-by-step explanation:
Step 1: Find the solution to the first equation
[tex]3 - 2a < 13[/tex]
[tex]3 - 3 - 2a < 13 - 3[/tex]
[tex]-2a < 10[/tex]
[tex]-2a / -2 < 10 / -2[/tex]
[tex]a > -5[/tex]
Step 2: Find the solution to the second equation
[tex]5a < 17[/tex]
[tex]5a / 5 < 17 / 5[/tex]
[tex]a < 3.4[/tex]
Answer: [tex]-5 < a < 3.4[/tex]
During a science investigation six students divided 15 pounds of potting soil equally write an equation that shows how many pounds is a potting soil each student received between which two whole numbers does your answer lie
Answer: it lies between 2 and 3.
Step-by-step explanation:
You equation should be like this because what you wrote is not an equation.
15/6= p where P is the number of pounds each student received.
p=2.5
Which statement is true about a line that contains the point ሺ2, 7ሻ and has a slope of 0.5?
A The line will also contain the point ሺ4, 6ሻ.
B The line will have a y-intercept of 6.
C The line will contain points whose y-coordinate will decrease in value as you move to the right
D none of the above
Answer:
I think it is C) The line will contain points whose y-coordinate will decrease in value as you move to the right
Step-by-step explanation:
HOPE THIS HELPS
Create a circle with center A and a radius of your choice. Create a point B on the circle, and find the coordinates of B. Draw the radius . What is the slope-intercept form of the equation of ? Show your work.
Corrected Question
Create a circle with center A and a radius of your choice. Create a point B on the circle, and find the coordinates of B. Draw the radius AB. What is the slope-intercept form (y = mx + b) of the equation of AB? Show your work.
Answer:
y=0.62x+2
Step-by-step explanation:
In the attached circle drawn using Geogebra
Center is at point A(0,2)Point B on the circumference has coordinates (1.7,3.05)Radius of the circle=2 UnitsGradient of AB, [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where [tex](x_1,y_1)=A(0,2)$ and (x_2,y_2)=B(1.7,3.05)[/tex]
[tex]m=\dfrac{3.05-2}{1.7-0} \\=\dfrac{1.05}{1.7}\\\\\approx 0.62[/tex]
Line AB intercepts the y-axis at y=2, therefore: b=2
The slope-intercept form of the line AB (in this case) is therefore:
y=0.62x+2
For every circle center A of radius r and point B chosen on the circumference, the equation of the line AB will be different.
You can try one of your own!!
Easy math triangle question , please help picture attached
Answer:
x = [tex]\sqrt{120}[/tex] ≈ 10.95
Step-by-step explanation:
Use Pythagorean Theorem a²+b²=c²
6²-4²=a²
36-16=a²
a²=20
a=[tex]\sqrt{20}[/tex]
[tex]\sqrt{20[/tex]²+10²=c²
20+100=c²
c²=120
c= [tex]\sqrt{120}[/tex] ≈ 10.95
Derek is playing a prank on Grace and hid her pencil inside a tissue box that has a width of 4 inches, a length of 8 inches, and a height of 4 inches. The pencil fits perfectly from the upper left corner to the bottom right corner of the box. What is the length of Grace’s pencil to the nearest tenth of an inch?
Answer:
9.8 Inch
Step-by-step explanation:
The distance from the upper left corner to the bottom right corner of the box is the longest diagonal of the box.
For a rectangular prism:
Length of the Longest diagonal [tex]=\sqrt{ l^2+h^2+w^2}[/tex]
Therefore:
Length of the pencil[tex]=\sqrt{ 8^2+4^2+4^2}[/tex]
[tex]=\sqrt{96}\\=9.8$ inch(correct to the nearest tenth of an inch)[/tex]
Answer: length of pencil is 9.8 inches.
Step-by-step explanation:
The pencil fits perfectly from the upper left corner to the bottom right corner of the box. This is the diagonal of the box(not the diagonal of a face). To determine the length of the pencil, we would determine the length of the diagonal of the box. The formula formula is
d = √(l² + w² + h²)
Where
d = diagonal = length of pencil
w = width = 4 inches
h = height = 4 inches
l = length = 8 inches
Therefore,
d = √(4² + 4² + 8²) = √96
d = 9.8 inches
Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the account after t years can be calculated using the expression below. Use the given expression to complete the statements below. The expression is the of the amount initially deposited and the of one and the rate of increase raised to the number of .
Complete Question:
Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the account after t years can be calculated using the expression below.
250(1+0.018/2)^2t
Use the given expression to complete the statements below.
The expression is the *blank* of the amount initially deposited and the *blank* of one and the rate of increase raised to the number of *blank*
1st Blank:
Product
Sum
Quotient
Square
2nd Blank:
Quotient
Product
Difference
Sum
3rd Blank:
Compounding Periods
Years
Months
Answer:
First blank: product
Second blank : Sum
Third blank : years
Step-by-step explanation:
The expression :
250(1+0.018/2)^2t
The expression is the *blank* of the amount initially deposited and the *blank* of one and the rate of increase raised to the number of *blank*
The first blank represents product which adopts the use of the bracket () symbol
The second blank is the sum of one and the rate of increase depicted with the addition '+' sign
The third blank represents years which is the period of time in years for which the money was kept in the scholarship account
A mirror should be centered on a wall the mirror is 4 feet wide in the wall is 20 Feet wide what equation helps determine the distance X on each side of the mirror
Answer:
A)x + 4 + x = 20
Step-by-step explanation:
Complete question:
Which equation helps determine the distance x on each side of the mirror?
A. x + 4 + x = 20
B. 4 + x + 4 = 20
C. x = 20 + 4 + 4
D. 4 = 20 + x + x
SOLUTION:
As given,The mirror is 4 feet wide and the wall is 20 feet wide.
The distance 'x' on each side of the mirror is x + x
4 feet wide + x + x = 20 feet wide
The mirror 4 feet wide + the distance x on each side of the mirror = the wall is 20 feet wide
Therefore, the correct option is A
Parallelogram efgh has sides of length 20 inches and 14 inches as shown. Its acute angle measures 62 degrees. Find the area of efgh to the nearest square inch
Answer:
The area of the parallelogram is 247 inches^2 to the nearest square inch
Step-by-step explanation:
This question asks us to calculate the area of a parallelogram given the sides and an acute angle.
Please check attachment for diagrammatic representation of the said parallelogram.
Mathematically, the area of the parallelogram can be calculated using the formula;
A = ab sin θ
where a and b refers to the length of the two sides and θ being the acute angle
Substituting these values, we have
A = 20 * 14 * sin 62
A = 280 sin 62 = 247.23 which is 247 inches^2 to the nearest square inch
Robin is 11 years old. Her mother, Gwen, is 2 years more than 3 times Robins age. How old is Gwen?
Answer:
35
Step-by-step explanation:
11 × 3 = 33
+ 2 = 35
Robin is 11 (11)
Gwen is 2 years (+2) more than 3 times (×3) Robins age
Answer:
35.
Step-by-step explanation:
Hello there!
Solve the given equation to find Gwen's age:
3(11)+2
33+2
35
:)
j divided by 9 is 5 , write an equation to represent the following statement
Answer:
The first answer is incorrect
Step-by-step explanation:
45 divided by 9 is 5 not 40
The equation that represents the statement is j / 9 = 5.
What is an Equation?An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.
The statement j divided by 9 is 5 can be written in equation form as follows:
j / 9 = 5
j = 45
To know more about Equation
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find angle C! please and thankyou
Answer: it's around 40
Step-by-step explanation:
You arrive in my class 45 seconds after leaving math which is 90 meters away. How fast did you travel?
Answer:
2 m/s=90 meters/45 seconds
