Express the equation as:
\(\begin{gathered} \sqrt[3]{x+6}-5=-2 \\ \end{gathered}\)Add 5 to both sides:
\(\begin{gathered} \sqrt[3]{x+6}-5+5=-2+5 \\ \sqrt[3]{x+6}=3 \end{gathered}\)Raise both sides to the 3rd power:
\(\begin{gathered} (\sqrt[3]{x+6})^3=3^3 \\ x+6=27 \end{gathered}\)Subtract 6 from both sides:
\(\begin{gathered} x+6-6=27-6 \\ x=21 \end{gathered}\)Solve for z.
-cz + 62 = tz + 83
The two lines intersected by the transversal are parallel. What is the value of x?
1? HSHSHSHSHSHSHHSHSHSHS
Answer:
Step-by-step explanation:
Angles on the same side of the transversal are supplementary.
(4x-8)+(3x-1)=180
=7x-8-1=180
=7x-9=180
7x=180+9
7x=189
x=189/7
x=27
Hope it helped..
Find the area of the figure. Use 3.14 for π.
Answer:
Round to hundredths if necessary.Rectangle topped by a semicircle - ScieMce.
Step-by-step explanation:
ind the area of the figure. Use 3.14 for π. Round to hundredths
xThe object above is symmetrical through Z. If Y = 19 inches, Z = 21 inches, and H = 10 inches, what is the area of the object?A. 420 square inchesB. 210 square inchesC. 57 square inches
hello
to solve this question, we have to take the object part by part and solve for the area and the add them up together.
we can solve for x using pythagoran theorem
\(\begin{gathered} 19^2=10^2+x^2 \\ x^2=19^2-10^2 \\ x^2=361-100 \\ x^2=261 \\ x=\sqrt[]{261} \\ x=16.16 \end{gathered}\)since we know the
You stand at zero on a number line and flip a coin. When the coin is heads, you move one unit to the right. When the coin is tails, you move one unit to the left. After each flip, you record your position on the number like. Let g represent your position after the nth flip.
a.Explain why g is a function
b. What does g(5)=3 represent
c. What is the probability that g(3)=0
By using the concept of number line, it can be calculated that
a) g is a function
b) g(5) = 3 means after 5 flips, the person is at '3' on the number line
c) Probability that g(3) = 0 is zero
What is a number line?
All the real numbers, integers, fractions can be pictorially represented with the help of a line. The line is known as number line.
a) Here, g represents the position after the nth flip
After n flips, a person stands at only one position on the number line, not more than one. So every point on the domain has unique image. So g is a function.
b) g(5) = 3 means after 5 flips, the person is at '3' on the number line
c) The person is initially standing at zero. To move to zero position, even number of flips have to be made. But 3 is not an even number. So probability that g(3) = 0 is zero
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use words to describe what a variable is
Answer: :) If u in college I have to know this already
Step-by-step explanation: :)
Timmy’s T-shirt is having a huge back to school sale all the T-shirts in the store are currently discounted by 15% T represent the regular price of any T-shirt in the store the discount represented by the expression T -0.15 tea which expression can also be used to find the sales price of any T-shirt
Answer:
(1 - 0.15)T
Step-by-step explanation:
Given that;
Regular Tshirt price = T
Discount of sales = 15%
Hence, 0.15 of regular price ;
Discount = 0.15T
Hence, the sale price of any Tshirt ;
Regular price - discount on regular price.
T - 0.15T
Factorixe
T(1 - 0.15)
Which of the following fractions converts to a terminating decimal greater than one?
1/4
13/11
4/3
7/2
Answer:
7/2
Step-by-step explanation:
7/2= 3.5 so it is terminating
Solve the system of linear equations using substitution. Use a pencil and paper. Which expression would be easier to substitute into the other equation, in order to solve this problem? Explain your reasoning.
x=4y-9
x+4y=3
Answer:
(- 3, 1.5)
--------------------------
Given system:
x = 4y - 9x + 4y = 3The first expression is ready to be substituted as no further operation is required to simplify it.
4y - 9 + 4y = 38y - 9 = 38y = 12y = 12/8y = 1.5Find x:
x = 4*1.5 - 9x = 6 - 9x = - 3Use the to the right the value of PT. T is the midpoint of PQ
PT=7x+5 and TQ=9x-9
By using the figure below, the value of line segment PT is equal to 54 units.
How to determine the midpoint of a line segment?In Mathematics, the midpoint of a line segment with two endpoints can be calculated by adding each point on a line segment together and then divide by two (2).
Since T is the midpoint of PQ, we have the following:
Line segment PT = Line segment TQ
7x + 5 = 9x - 9
9x - 7x = 9 + 5
2x = 14
x = 14/2
x = 7.
Now, we can determine the value of PT:
PT = 7x + 5
PT = 7(7) + 5
PT = 54 units.
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Complete Question:
Use the figure to the right to find the value of PT. T is the midpoint of PQ PT=7x+9 and TQ=9x-5
Please explain your answer to the question in the picture with steps
Answer:
x = 31.2
Step-by-step explanation:
You want the solution to the proportion 12/x = 5/13.
Rational equationYou can eliminate the fractions by multiplying this equation by the least common denominator. That value is 13x, the product of these denominators. Multiplying by 13x, we have ...
\(\dfrac{12}{x}\times13x=\dfrac{5}{13}\times13x\\\\\\12\cdot13=5\cdot x\qquad\text{simplified}\)
Now, the value of x is found by dividing both sides by its coefficient.
\(\dfrac{12\cdot13}{5}=\dfrac{5x}{5}\\\\\\\dfrac{156}{5}=x\\\\\boxed{31.2=x}\)
__
Additional comment
The first step we did, multiplying by 13x, is also sometimes called "cross multiplication." The result of that step is that each numerator is multiplied by the opposite denominator.
Multiplying both sides of the equation by the same value (13x) is supported by the multiplication property of equality. The term "cross multiplication" is descriptive of the result, but is not a recognized property of equality. It is a good idea to keep the math operations you do grounded in the properties of equality.
You will notice that the steps we did were "multiply by 13x" and "divide by 5". These can be done at once by "multiply by 13x/5". Of course, that operation is done to both sides of the equation.
Any proportion can be written 4 ways:
\(\dfrac{12}{x}=\dfrac{5}{13}\qquad\dfrac{x}{12}=\dfrac{13}{5}\qquad\dfrac{x}{13}=\dfrac{12}{5}\qquad\dfrac{13}{x}=\dfrac{5}{12}\)
These can be thought of as "upside down" and "sideways." We like the versions with the variable on top of a fraction, because the solution to that is simply multiplication by the variable's denominator.
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Please answer asap
Please
Please
Step-by-step explanation:
Standard form:
y = ax² + bx + cVertex form:
y = (x - h)² + kIdentity used:
(a ± b)² = a² ± 2ab + b²6 - 7)
Standard to vertex form conversion by completing the square
y = x² - 3x + 16
= x² - 2*1*3/2 + (3/2)² - (3/2)² + 16
= (x - 3/2)² - 9/4 + 16 =
= (x - 1.5)² + 13.75
8 - 9)
Same as above
y = x² - 2x + 3
= x² - 2*1*x + 1² - 1² + 3
= (x - 1)² + 2
10 - 12)
Vertex to standard for conversion by opening parenthesis and simplification
y = (x - 11)² + 15
= x² - 22x + 121 + 15
= x² - 22x + 136
13-15)
Same as above
y = (x - 4)² + 11
= x² - 8x + 16 + 11
= x² = 8x + 27
If a firm’s total fixed costs are $11,639, total revenues are $28,200, and profit is $4,776, what must the firm’s total variable cost be?
Answer:
Step-by-step explanation:
You draw one card from a 52-card deck. Then the card is replaced in the deck and the deck is shuffled, and you draw again. Find the probability of drawing a six the first time and a spade the second time
Answer:
1/4(1/4)=1/16, or 6.25% chance.
Step-by-step explanation:
There are 13 spades in a deck of 52 cards. This is a 13/52, or 1/4 chance of selecting one. As the cards are replaced we just multiply the probabilities of picking a spade.
I hope this helps!
If one angle equals 34”, then the measure of its complement angle is 56°.
True
OO
False
I need help
Answer:
True
Step-by-step explanation:
Complementary means they should sum to 90 degrees
34+56=90
Answer:
True
Step-by-step explanation:
Complementary angles are angles that add to 90 degrees, or a right angle.
If the two angles are complementary, then they will add to 90 degrees.
One angle is 34°, and it's complement is 56°.
Add the angles.
34°+56°
90°
Since they add to 90 degrees, they are complementary angles. Therefore, the statement is true.
What value should go in the box
4b • 0.5a 2ab 2a2b 2ab2 2a2b2
Answer:
(4b)•(0.5a) = (4•0.5)(a)(b) = 2ab
Step-by-step explanation:
Write these numbers in standard form:
a. 8731000
b. 0.053
c. 0.00094
d. 0.543
e. 28765
f. 3 x 6 x 104
g. 170 x 10-2
h. (3 x 10-3)3
i. (2 x 10-4) (5 x 103)
j. (12 x 105) ÷ (4 x 102)
Step-by-step explanation:
j. seems to be challenging
How many groups of Two-thirds are in Three-fifths?
A fraction bar labeled 1. Under the 1 are 5 boxes labeled one-fifth. Under the 5 boxes are 3 boxes containing one-third. Under the 3 boxes are 15 boxes labeled StartFraction 1 Over 15 EndFraction.
StartFraction 9 Over 15 EndFraction
StartFraction 9 Over 10 EndFraction
1 and one-third
1 and StartFraction 1 over 9 EndFraction PLZ BE FAST THIS IS A BIG TEST IS I DONT DO GOOD I WILL FAIL!!!!!!!!1>:(
Answer:
its b
Step-by-step explanation:
i got answer wrong and it was b
There are 9/10 groups of Two-thirds are in Three-fifths.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
There are groups of Two-thirds are in Three-fifths.
Now,
Let x groups of Two-thirds are in Three-fifths.
Hence, we can formulate;
⇒ x = 3/5 ÷ 2/3
⇒ x = 3/5 × 3/2
⇒ x = 9/10
Thus, Number of groups of Two-thirds are in Three-fifths = 9/10
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A car travels a distance of 112km at an average Speed of 70km/h. It then Travells Further for 60km at an average Speed of 50 km/hr. Calculate for the entire Journey of the total time taken.
The total time taken for the entire journey is 2.8 hours.
To calculate the total time taken for the entire journey, we can use the formula:
Time = Distance / Speed
For the first part of the journey, the car travels a distance of 112 km at an average speed of 70 km/h. Using the formula, the time taken for this part is:
Time1 = 112 km / 70 km/h = 1.6 hours
For the second part of the journey, the car travels a further distance of 60 km at an average speed of 50 km/h. Again, using the formula, the time taken for this part is:
Time2 = 60 km / 50 km/h = 1.2 hours
To find the total time for the entire journey, we sum up the times for both parts:
Total Time = Time1 + Time2 = 1.6 hours + 1.2 hours = 2.8 hours
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50 pounds of dog food for $38.00
what is the unit rate
Answer:
about 1.32 pounds for 1 dollar
Step-by-step explanation:
simply do 50÷38 then you get your answer
Answer:
rounded up to 1.32 pounds for 1 dollar
Step-by-step explanation:
Simply take 50 and divide it by 38 to get your answer
a line passes through the points (-6,4) and (-2,2) which is the equation if the line?
y=-1/2x +1
y=1/2x+ 7
y=-2x -8
y=2x +16
Answer:
y= -1/2x+1
Step-by-step explanation:
12 1/2 gal= qt
can you help me plsssssss
Answer:
50 qrts
Step-by-step explanation:
12.5 gal = 4x qrts
12.5 * 4 = 50
in 1/2 a gal. there is 2qt.
so that makes a gal = 4qt.
12 x 4 =48qt plus 2qt equals 50 qt
Which line plot displays a data set with an outlier?
giving out 20 points and please no gussing
Answer:
the one on the bottom left, with 23 all by its lonesome
Step-by-step explanation:
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
6.7 km
Step-by-step explanation:
c² = 4.9²+4.5²
= 24.01 + 20.25
= 44.26
c = √44.26 = 6.7
John bought 75kg of chocolate. He packed the chocolate equally in 7 bags. How much chocolate did he pack in each bag?
Answer: 10.7142857kg in each bag
Step-by-step explanation: If you divide 75 by 7 you would get 10.7142857. There fore there is about 10.7142857kg of chocolate in each bag.
HELPPPPOP PLEASEEE ILL GIVE BRAINLIEST!!!!
question 4. Solve each compound inequality.
Answer:
-7/2≤x<3
Hope this helps!
Answer:
Step-by-step explanation:
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A state lotto has a prize that pays $900 each week for 20 years.
Find the total value of the prize: $
If the state can earn 5% interest on investments, how much money will they need to put into an account
now to cover the weekly prize payments?
Reminder: There are 52 weeks in a year.
The total value of the prize is $936,000.
The state will need to invest $591,498.96 now at a 5% interest rate to cover the weekly prize payments for 20 years.
What is the total value of the prize?The total value of the prize is calculated by multiplying the annual payment by the number of years and is equal to:
= $900/week x 52 weeks/year x 20 years
= $936,000.
How much money is needed to put into the account?We need to use the present value formula which is: PV = PMT x [1 - (1 + r)^-n] / r
Plugging in the values:
PV = $900 x [1 - (1 + 0.00096154)^-1,040] / 0.00096154
PV = $900 x 657.221075423
PV = $591,498.968.
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Determine the unknown length. Round your answer to the nearest tenth, if necessary.
Answer:
16
Step-by-step explanation:
a^2+b^2=c^2
a^2+12^2=20^2
144+a^2=400
a^2=256
a=16
I need the answer. Please help