You need to multiply the amount she makes per hour by the number of hours (t) she works.
The equation would be y = 16.8t
When solved for x, what is the product when the roots of the quadratic equation are multiplied? x^2 − 8 = 8
A) −16
B) −8
C) 0
D) 16
ANSWER
A) -16
EXPLANATION
The given equation is
[tex] {x}^{2} - 8 = 8[/tex]
Isolate the constant terms:
[tex] {x}^{2} = 8 + 8[/tex]
Simplify
[tex] {x}^{2} = 16[/tex]
Take square root
[tex]x = \pm \: \sqrt{16} [/tex]
[tex]x = \pm \: 4[/tex]
Split the plus or minus sign
[tex]x = - 4 \: or \: x = 4[/tex]
The product is
[tex] - 4 \times 4 = - 16[/tex]
What is the value of x?
A) 37
B) 48
C) 127
D) 138
Answer:
C) 127
Step-by-step explanation:
An exterior angle of a triangle is equal 360
so
External angle of <B = 180° - 79° = 101°
x + x + 5 + 101 = 360
2x + 106 = 360
2x = 254
x = 127
Answer
C) 127
Answer:
127
Step-by-step explanation:
did on edge 2022
can someone help with these?thanks!
QUESTION 24
The explicit formula is given as:
[tex]a_n = 4 - 6(n - 1)[/tex]
Comparing to the formula:
[tex]a_n = a_1 + d(n - 1)[/tex]
The common difference is d=-6.
The first term is
[tex]a_1=4[/tex]
The recursive formula is given by
[tex]a_n=a_{n-1}+d[/tex]
Hence the recursive formula is:
[tex]a_n=a_{n-1} - 6 \: \: where \: \: a_1=4[/tex]
The correct answer is C
QUESTION 25
The given sequence has formula,
A(n)=5+(n-1)(6)
We can rewrite this as:
A(n)=5+6(n-1)
This implies that, the first term is
[tex]a_1 = 5[/tex]
and the common difference is d=6
We can rewrite this formula recursively as
[tex]a_n=a_{n-1}+d[/tex]
[tex]a_n=a_{n-1}+6 \: \: where \: \: a_1=5[/tex]
The correct choices are:
C and D
What is the greatest common factor for 48 and 60
Answer:
We found the factors and prime factorization of 48 and 60. The biggest common factor number is the GCF number. So the greatest common factor 48 and 60 is 12.
GCF of numbers is the highest number that can divide both numbers.
The GCF of 48 and 60 is 12
The numbers are given as: 48 and 60.
Factor both numbers
[tex]48 = 2 \times 2 \times 2 \times 2 \times 3[/tex]
[tex]60 = 2 \times 2 \times 3 \times 5[/tex]
The common factors are:
[tex]Factors = \{2,2,3\}[/tex]
Multiply these factors:
[tex]GCF = 2 \times 2 \times 3[/tex]
[tex]GCF = 12[/tex]
Hence, the GCF of 48 and 60 is 12.
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What is the product of exponent 4 square root 7 multipled 4 times
Step-by-step explanation:
(A square root is that number multiplied by its self)
For example: if you see the number √100, this equals to the number 10, because 10 x 10 = 100
I hope this makes sense...
and when you have the number 4 in front of the square root, this means √7 times 4
So 4√7 = 10.5830052443
and if we multiply 4√7 times its self 4 times, we will get the answer of 12,544
I hope I helped you, God bless
how do you know the correct order in which to evaluate algebraic expressions
Answer:
Parentheses
Exponent
Multiply
Add
Subtract
Step-by-step explanation:
i hope this is what you were asking for
If cheese is $53.56 per kilogramme, what should I pay for 20 grammes?
Answer:
20 g cheese cost $1.0712
Step-by-step explanation:
Given that if cheese is $53.56 per kilogram,
we have to find the cost of cheese for 20 gram.
1 kg=1000 g
[tex]\text{As 1000 g cheese cost } \$53.56[/tex]
[tex]\text{1 g cheese cost }\$\frac{53.56}{1000}[/tex]
[tex]\text{20 g cheese cost }\$\frac{53.56}{1000}\times 20=\$1.0712[/tex]
Hence, 20 g cheese cost $1.0712
I would pay $1.07 for 20 grammes of cheese
The first step is to determine the cost of one gram of cheese. In order to do this, convert the kilogram to gram.
1 kilogram is equivalent to 1000 grams
1 gram = $53.56 / 1000 = $0.05356
The second step is to determine the cost of 20 grams
cost of 20 grams = cost of one gram x 20
$0.05356 x 20 = $1.07
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A cone-shaped pile of sawdust has a base diameter of 28 feet, and is 10 feet tall. Find the volume of the pile.
Answer:
733.04 ft
Step-by-step explanation:
Final answer:
The tangent of angle A, with angle A opposite side X in a right triangle where X = 10 cm and Y = 24 cm, is approximately 0.4167.
Explanation:
If we have a triangle with sides X = 10 cm, Y = 24 cm, and Z = 26 cm, we can use the tangent function to determine the tangent of angle A, assuming that angle A is opposite the side X. Using the fact that the y-axis passing through the third charge bisects the 24-cm line, we create two right triangles of sides 5, 12, and 13 cm, indicating that the triangle in question is in fact a right triangle, with the two smaller sides being X and Y, and the hypotenuse being Z.
Using the definition of tangent, which in a right triangle is the ratio between the side opposite to the angle and the side adjacent to the angle, the tangent of angle A would be tan(A) = opposite / adjacent. In this triangle, that would mean:
tan(A) = X / Y = 10 cm / 24 cm
Calculating this gives us:
tan(A) ≈ 0.4167
Therefore, the tangent of angle A is approximately 0.4167.
Compute the number of vinyl tiles, measuring 8 in. each side, needed to tile a kitchen measuring 24 ft. by 18 ft. tiles.
Answer:
Final answer is 972 tiles.
Step-by-step explanation:
Given that length of each vinyl tile = 8 in
Given that width of each vinyl tile = 8 in
Then area of 1 vinyl tile = (Length) (Width) = (8)(8)= 64 square inches
Given that length of kitchen = 24 feet = 24 (12 in) = 288 in
Given that width of kitchen = 18 feet = 18 (12 in) = 216 in
Then area of kitchen = (Length) (Width) = (288)(216)= 62208 square inches
Then number of tiles needed [tex]=\frac{62208}{64}=972[/tex]
Hence final answer is 972 tiles.
To find the number of 8 inch by 8 inch tiles needed to cover a floor that is 24 feet by 18 feet, you need to calculate the total area of the floor in inches and then divide by the area of one tile. Thus, for a floor area of 62208 square inches and a tile area of 64 square inches, the number of tiles will be 972.
Explanation:The first step is to convert the dimensions of the kitchen floor from feet to inches since the size of tiles is given in inches. Therefore, the floor size is 24ft * 12(in/ft) = 288 inches by 18ft * 12(in/ft) = 216 inches. Now, the area of the kitchen floor can be calculated as 288(in) x 216(in) = 62208 sq in.
Since each tile is 8 inches by 8 inches, the area of each tile is 8(in) x 8(in) = 64 sq in. To find out how many tiles are needed, you divide the total area of the kitchen floor by the area of one tile. Thus, 62208 sq in / 64 sq in = 972 tiles. Therefore, you would need 972 tiles to cover the kitchen floor.
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Which number would make the sentence true? What is the answer
How many grams of hydrocortisone are in a 120g of 4% ointment
To answer this, you can use a proportion.
We're trying to figure out what a portion of the 120g tube of ointment so that is our first side of the proportion: ?/120
We know that we can represent percentages as fractions by placing the percent over 100. So this is our second side of the proportion: 4/100
Our partially completed proportion is this: ?/120=4/100
Cross multiply 120 and 4: 120*4=480
Divide the product by 100: 480/100=4.8
So, there is 4.8g of hydrocortisone in the ointment.
To find the amount of hydrocortisone in a 120g of 4% ointment, convert the percentage to a decimal and multiply by the total weight. This calculation gives us 4.8 grams of hydrocortisone.
Explanation:Hydrocortisone is a medication used to treat various conditions such as allergic reactions, eczema, and psoriasis. In your question, you want to find the amount of hydrocortisone in a 120g of 4% ointment. The '%' sign in this context is referring to the weight of the substance (hydrocortisone) over the total weight of the solution (ointment). So, to find the amount of hydrocortisone in the ointment, you multiply the total weight of the ointment by the percentage of the substance.
Step 1: Write the percentage as a decimal. 4% becomes 0.04.
Step 2: Multiply the weight of the total ointment by the decimal.
In this case, 0.04 * 120g = 4.8 grams.
So, there are 4.8 grams of hydrocortisone in a 120g of 4% ointment.
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2. Consider the equation x2 + 8x = 10.
(a) Show how to solve the equation by completing the square.
(b) Show how to solve the equation by using the quadratic formula. Round solutions to the nearest tenth if needed.
ANSWER
x=1.1 or x=-9.1
EXPLANATION
[tex] {x}^{2} + 8x = 10[/tex]
Ad the square of half the coefficient of x to both sides:
[tex]{x}^{2} + 8x + {4}^{2} = 10 + {4}^{2} [/tex]
[tex]{x}^{2} + 8x + 16= 10 + 16[/tex]
The left hand side is now a perfect square.
[tex] {(x + 4)}^{2} = 26[/tex]
Take square root
[tex]x + 4= \pm \sqrt{26}[/tex]
[tex]x = - 4 \pm \sqrt{26}[/tex]
x=1.1 or x=-9.1
Using the quadratic formula, we need to rewrite the given equation to get;
[tex] {x}^{2} + 8x - 10 = 0[/tex]
where a=1, b=8 and c=-10
The solution is given by:
[tex]x = \frac{ - b \pm \: \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
We substitute the values into the formula to get;
[tex]x = \frac{ - 8\pm \: \sqrt{ {8}^{2} - 4(1)( - 10) } }{2(1)} [/tex]
[tex]x = \frac{ - 8\pm \: \sqrt{ 104 } }{2} [/tex]
[tex]x = \frac{ - 8\pm \: 2\sqrt{ 26 } }{2} [/tex]
[tex]x = - 4\pm \: \sqrt{ 26 } [/tex]
x=1.1 or x=-9.1
to the nearest tenth.
A marble is randomly selected from a bag containing 3 Red marbles, 3 Blue marbles, and 3 Green marbles. What is the probability that the selected marble is Green?
A) 3
B) 1/3
C) 1/9
D) 1/2
Answer:B 1/3
Step-by-step explanation:
3/9=1/3
The probability that the selected marble is Green for the considered case is given by: Option B: 1/3
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
Given that:
Bag has 3 green, 3 red, and 3 blue marbles.A marble is selected at random.To find: P(selected marble is green)
Take:
E = event that a marble selected at random is green.
Numbre of cases in which E can be done is 3 (as there are 3 green marbles).
Number of total cases = 3+3+3 = 9 (total 9 marbles, each can come as an outcome).
Thus, we get:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)} = \dfrac{3}{9} = 1/3[/tex]
Thus, the probability that the selected marble is Green for the considered case is given by: Option B: 1/3
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What was D-Day and why was it important?
It was the invasion of France.
It was the landing on Normandy Beach.
It gave the Allies access to Western Europe.
all of the above
none of the above
Answer:
All of the above
Step-by-step explanation:
They invaded france which was under nazi control, they landed at normandy beach, and because they invaded they had access to fighting the German nazis
will drinks 1.09 liters of juice. richard drinks 0.987 liters of juice. how much more juice does will drink then Richard
Answer: .103
Step-by-step explanation:
Will drinks 0.103 liters more juice than Richard by calculating the difference in the amount they drank.
Will drinks 1.09 liters of juice, while Richard drinks 0.987 liters of juice. To find out how much more juice Will drinks than Richard:
Calculate the difference: 1.09 - 0.987 = 0.103 litersTherefore, Will drinks 0.103 liters more juice than Richard.
Madison reads 24 pages of her book each day. She has read for 9 days & is exactly halfway through reading her book. What is the total number of pages in Madison’s book?
Answer:
432 pages.
Step-by-step explanation:
We know Madison reads 24pgs/ per day. She reads for nine days, so she reads 24*9 pages, or 216.
We know also that this is halfway through her book, so 2*216= the whole book, so the book has 432 pages
So 24 pages per day. Meaning in 9 days she would read [tex]24\times9=216[/tex], and if that is half of the pages in the book then the total must be [tex]216\times2=432[/tex] pages.
Use the discriminators to determine the number of solutions for the quadratic equation.
Y=3x^2+7x+6
Show work thanks
Answer:
no real solutions
Step-by-step explanation:
For a quadratic in standard form : y = ax² + bx + c : a ≠ 0
The value of the discriminant
Δ = b² - 4ac informs about the nature of the solutions
• If b² - 4ac > 0 then 2 real and distinct solutions
• If b² - 4ac = 0 then 2 real equal solutions
• If b² - 4ac < 0 then no real solutions
For y = 3x² + 7x + 6
with a = 3, b = 7, c = 6, then
b² - 4ac = 7² - (4 × 3 × 6) = 49 - 72 = - 23
Since b² - 4ac < 0 the equation has no real solutions
HELP!!!!
Anderson buys supplies so he can make and sell hats. He begins to make a profit only after he sells 3 hats. What point on the graph makes the most sense in this situation?
Answer:
3
Step-by-step explanation:
Answer:
(2,-1,5) or point C
Step-by-step explanation:
Which table represents a linear function ?
Answer:
i think it is the first one
i hope this helps
Step-by-step explanation:
Answer:
Table 3 from the left.
Step-by-step explanation:
In the tables attached, we have to find a table which represents the linear function.
The values of y are changing with the different values of x.
If the values of y have a common difference in each successive term of the table then the function formed will be linear.
For 3rd table from the left,
At x = 1 and x = 2,
Difference in y values = -5 - (-3)
= -5 + 3
= -2
At x = 2 and x = 3,
Difference in y values = -7 - (-5)
= - 7 + 5
= -2
Similarly all successive values of y has a common difference of (-2).
Therefore, table 3 from the left represents a linear function.
Simplify:- (2√6÷√2 + √3) +( 2√6 ÷ √2 + √3 ) - (8√3 ÷ √6 + √3)
Answer:
[tex]5 \sqrt{3} - 4 \sqrt{2} [/tex]
Step-by-step explanation:
Look at the picture
Hope it helps ;)
Solve this system of linear equations. Separate the x- and y- values with a comma. -13x=97-19y -17x=83+19y
Answer:
The solution is (-6, 1).
Step-by-step explanation:
Rewrite this system as
-13x=97-19y
-17x=83+19y
Now combine these two equations. 19y and -19y will cancel each other:
-30x = 180, so x = -6.
Now substitutte -6 for x in the first equation:
-13(-6) = 97 - 19y, or 78 = 97 - 19y. This simplifies to:
-19 = -19y, so y = 1.
The solution is (-6, 1).
Multiply -1/7 x 5/3
Write your answer in simplest form.
Here is your answer
[tex] \huge\frac{ - 5}{21} [/tex]
REASON:
Given,
[tex] \frac{ - 1}{7} \times \frac{5}{3} [/tex]
The numerator of one fraction is multiplied to the numerator of other and same is in the case of denominator.
[tex] \frac{ - 1 \times 5}{7 \times 3} [/tex]
[tex] = \frac{ - 5}{21} [/tex]
HOPE IT IS USEFUL
Answer:
-0.24
Step-by-step explanation:
Simplify 6 over square root 8?
6/sqrt(8)= 2.121320344
For this case we must simplify the following expression:
[tex]\frac {6} {\sqrt {8}}[/tex]
We rewrite 8 as [tex]2 ^ 3 = 2 ^ 2 * 2[/tex]
[tex]\frac {6} {\sqrt {2 ^ 2 * 2}} =\\\frac {6} {2 \sqrt {2}} =\\\frac {3} {\sqrt {2}} =[/tex]
We rationalize, multiplying numerator and denominator by:
[tex]\frac {\sqrt {2}} {\sqrt {2}}\\\frac {3} {\sqrt {2}} * \frac {\sqrt {2}} {\sqrt {2}} =\\\frac {3 \sqrt {2}} {(\sqrt {2}) ^ 2} =\\\frac {3 \sqrt {2}} {2}[/tex]
ANswer:
[tex]\frac {3 \sqrt {2}} {2}[/tex]
Simplify. (√97)^2
1/97
97
√97
Answer: 97
sqrt(97)^2=97
The squaring of the sqrt value returns the value underneath the sqrt
For this case we must simplify the following expression:
[tex](\sqrt {97}) ^ 2[/tex]
We have by definition of properties of powers and radicals that:
[tex](\sqrt {a}) ^ 2 = a[/tex]
Then, applying the property to the given expression, we have to:
[tex](\sqrt {97}) ^ 2 = 97[/tex]
Answer:
97
Option B
98 POINTS!!
need fast help on this one pleaseeee
Answer:
39047
Step-by-step explanation:
2. What is the function of the central nervous system
Answer:
to process information and form a response
Step-by-step explanation:
Brain and Spine cord are the CNS. It receives information from and sends information to the peripheral nervous system.
s the percent increase from 50 to 70 equal to the percent decrease from 70 to 50? Explain.
They are both creasing by 20
Answer: Brainiest pls
Is the percent increase from 50 to 70 equal to the percent decrease from 70 to 50? Explain. No. ... The ratio for the percent increase from 50 to 70 is 20/50, or 40%. That was my response. I got it right. or Sample response: No. The amounts of change are the same, but the original amounts are different. The ratio for the percent increase from 50 to 70 is 20/50, or 40%. The ratio for the percent decrease from 70 to 50 is 20/70, or about 29%.
Step-by-step explanation:
PERCENT CHANGE
The percentage change from 100 to 120 is 20 %
((y2 - y1) / y1)*100 = your percentage change
Percent Off(where y1=start value and y2=end value)
((120 - 100) / 100) * 100 = 20 %
Step by step workout
step 1 Address the formula, input parameters & values
Formula :
Increase
Initial Value
x 100 = Percent Increase (%)
Initial Value X = 50 & New Value Y = 70
Increase = (Y - X)
(70 - 50)
50
x 100 = ?
step 2 Apply the values in the percentage increase {(Y - X)/X x 100} formula
=(70 - 50)
50
x 100
=20
50
x 100
= 40%
(70 - 50)
50
x 100 = 40%
40 percent increase (%↑) or raise from 50 is 70 or 140% of 50 is 70
Consider the following problem involving stock prices.
In recent years, the stock market has been quite volatile. Suppose your stock investment was initially $100,000. After a period where the value first decreased by 20% and then the value increased by 20%, would the value still be $100,000?
Many people, including some financial advisors, would answer the question in the affirmative; they would say your stock would still be valued at $100,000. But let's compute the result before we answer the question. Since the stock first decreased by 20%, we take 20% of $100,000, which is $20,000. So, the value of the stock would then be $80,000. The 20% increase would be on the $80,000. Taking 20% of $80,000, we obtain $16,000, which means the stock increases in value by $16,000. Therefore, the stocks final value is $96,000. The answer to the question is no since the value has had a net decrease of $4,000.
This answer seems counterintuitive since we had a 20% decrease and a 20% decrease. But note that the 20% decrease was on a greater value than the 20% increase. The changes were not on the same stock values.
What would be the result if the reverse happened, that is, first have a 20% increase followed by a 20% decrease?
The 20% increase on $100,000 would be an increase of $20,000. So, the new value would be $120,000. We find the 20% of $120,000 is $24,000. Therefore, we would have a decrease of $24,000 for a net value of $96,000. Note that we have obtained the same result. The order of the increase and decrease did not matter, again because the 20% decrease was taken on the greater value than the 20% increase.
The Commutative Property of Multiplication may be used to show that the above two problems will have the same result. First note that 100% of $100,000 is $100,000. A decrease of 20% of the value would mean that the final value would be 80% of the original value since 100% – 20% = 80%. Also, an increase of 20% of the value would mean that the final value would be 120% of the original value since 100% + 20% = 120%. Reword the problems: Find 120% of 80% of $100,000 or find 80% of 120% of $100,000. Translate the problems:
1.20(0.80)(100,000) = 0.80(1.20)(100,000).
The commutative property shows that the two problems are equivalent. Multiplying either side of the equation we obtain our solution of $96,000.
Further note that $96,000 is a 4% decrease from the original $100,000 since we had a decrease of $4,000.
The above problem is a illustration of a common type of problem involving percentages where percents are used to describe how prices, salaries, and other monetary situations change. For instance, the TV you want to buy is on sale for 30% off or you get a 3.5% increase in your salary starting July 1.
Knowing what these phrases mean and knowing how to compute the values is important to everyone in our society.ls
which expression is equivalent to 4'7 × 4-5
The expression 4^7 times 4^-5 simplifies to 4^2, based on the rule of adding exponents when multiplying numbers with the same base.
The expression 4^7 times 4^-5 can be simplified by applying a rule of exponents, which states that when you multiply with the same base, you add the exponents. Therefore, 4^7 * 4^-5 becomes 4^(7+(-5)), or 4^2.
In general, n^m times n^-p equals n^(m-p) because of the rule that says when you multiply numbers with the same base, you should add the exponents.
The key here is understanding properties of exponents and how they operate when multiplied or divided. In this case, the rule being applied is the Property of Powers with the Same Base: a^m * a^n = a^(m+n).
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The probable question may be:
What expression is equivalent to 4^7 times 4^-5.
help me with this one please
Answer:
Angle ACD is the answer
(I'm confused. Everyone says it's 20, but if ABCD∼EFGH, and BC=15, shouldn't FG also be 15? Please answer quickly! 20 points!)
ABCD∼EFGH
AD=45 in. , EH=60 in. , and BC=15 in.
What is FG ?
Enter your answer in the box.
FG = __ in.
Answer:
FG= 20
Step-by-step explanation:
The reason FG and BC are not equal is because they are only similar. That's what that squiggle means. Hope this helps. Please name me Brainliest
FG=20
step by step explanation: