Answer: A table of values is a graphic organizer or chart that helps you determine two or more points that can be used to create your graph. Here is an example of a table of values for the equation, y= 2x + 1.
Step-by-step explanation:
Answer: x=7
Step-by-step explanation:
raise t to the 10th power then add the result to 3
The algebraic expression of raise t to the 10th power then add the result to 3 is t¹⁰ + 3
How to write algebraic expressions?
An algebraic expression is an expression that is made up of variables and constants along with algebraic operations such as addition, subtraction, multiplication, exponent, etc.
Given: raise t to the 10th power then add the result to 3
Note: t is the variable here
Let's write algebraic expression now:
raise t to the 10th power => t¹⁰
then add the result to 3 => t¹⁰ + 3
Therefore, the algebraic expression is t¹⁰ + 3
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Find each product. Then determine which conclusion can be drawn based on the results.
√2•√2
√5•√7
√ 2•18
√2•√6
A. The product of two irrational numbers is always rational.
B. The product of two irrational numbers can be rational or irrational.
C. The product of two irrational numbers is always irrational.
D. The product of two irrational numbers cannot be determined.
Answer:
B. The product of two irrational numbers can be rational or irrational.
Step-by-step explanation:
An irrational number is a number that is real and it cannot be written or expressed as a fraction.
For example , 2√3, √5 are irrational numbers.
A rational number is a number that is real and can be expressed as a fraction. It is a whole number. For example: 5, 7 are rational numbers
In the above question, we are a pair of rational and irrational number, 2 irrational numbers and we are asked to draw conclusions from their product
a) √2•√2 = √2 × √2 = √4 = 2 = rational number
b) √5•√7 = √5 × √7 = √35 = Irrational number
c) √2•18 = √2 × 18 = 18√2 = Irrational number
d) √2•√6 = √2 × √6 = √12 = Irrational number.
My conclusion from the above results is option B, which states that
B. The product of two irrational numbers can be rational or irrational.
I need help with this probelm please
What is the measure of ZL?
Enter your answer in the box. Round only your final answer to
the nearest hundredth.
m/L=
18 in.
М'
60 in.
N
Angle L's in the triangle LMN is,
⇒ L = 72.54°
We have to given that;
A triangle LMN is shown in figure.
And, The sides are,
Since, We know that;
A triangle is a three-sided polygon with three vertices, three angles that add up to 180 degrees, and three sides.
Since, We know that;
⇒ sin L = Opposite / Hypotenuse
And, cos L = Base / Hypotenuse
Two rays after combined into an angle have a single terminal. And, latter is known as the vertex of the angle, and the rays are known as its sides, occasionally as its legs, and occasionally as its arms.
Now, We can use trigonometry formula to find the value of angle l we get;
⇒ sin L = Opposite / Hypotenuse
⇒ sin L = LM / LN
⇒ sin L = 18/60
Taking arc sin both side, we get;
⇒ L = 72.54°
Therefore, The value of measure of angle L is triangle LMN is,
⇒ L = 72.54°
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21) Kinzang is 1.49 m tall. He was 0.53 m at birth. How much did he grow?
Kinzang grew 0.96 meters.
We have,
To find how much Kinzang grew, we need to subtract his height at birth from his current height:
Height Kinzang grew = Current height - Height at birth
Height Kinzang grew = 1.49 m - 0.53 m = 0.96 m
Therefore,
Kinzang grew 0.96 meters.
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(2b + 12) divided by 2 distributive property stander form
b + 6
Explanation:Given:
\(i)\text{ \lparen2b + 12\rparen }\div\text{ 2}\)To find:
To write the distributive property in standard form
To write in standard form, we need to expand the parenthesis:
\(\begin{gathered} (2b\text{ + 12\rparen }\div2\text{ = }\frac{2b\text{ + 12}}{2} \\ \\ =\text{ }\frac{2b}{2}\text{ + }\frac{12}{2} \end{gathered}\)\(\begin{gathered} simplify: \\ \frac{2b}{2}\text{ = b} \\ \frac{12}{2}\text{ = 6} \\ \\ \frac{2b}{2}\text{ + }\frac{12}{2}\text{ = b + 6} \end{gathered}\)What is the volume of the shape below
The volume of the given figure is 1176 cubic cm.
The value of the figure is calculated by multiplying all three side areas. Volume is a measure of the amount of space that an object or a substance occupies. It is typically expressed in cubic units such as cubic meters (m³), cubic centimetres (cm³), or cubic feet (ft³).
The volume of the figure is calculated as,
Volume = 2 ( 15 x 6 + 20 x 6 + 20 x 18 )
Volume = 1176 Cubic cm
Hence, the volume of the figure will be equal to 1176 Cubic cm.
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Which of the following is the result of expanding 5 £ n=1 (2n-2)?
Answer:B on edge (15.5)
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Sumita buys a set of earphones for £7.23. She pays with £10. How much change does she get?
Sumita get £2.77 amount in change for buys a set of earphones.
Since, We know that;
Subtraction in mathematics means that is taking something away from a group or number of objects.
And, When you subtract, what is left in the group becomes less.
We have to given that;
Sumita buys a set of earphones for £7.23.
And, She pays with the amount £10.
Since, When you subtract, what is left in the group becomes less.
Here, To find the amount to get amount of change.
Hence, We can formulate;
To find the change amount we can subtract cost of earphone from pay amount which she pay.
Thus, WE get;
The Change Amount getting by her is,
⇒ Amount = £10 - £7.23
⇒ Amount = £2.77
Therefore, We get;
⇒ Amount = £2.77
That is,
£2.77 amount in change for buys a set of earphones.
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some adults and children are watching a musical there are n children there are 25 fewer adults
According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99
A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.
B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.
To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.
Note: The given question is incomplete. The complete question is:
Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.
A) find the number of adults in terms of 'N'.
B) if there are 124 children how many adults are there?
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Convert each number to scientific notation and perform the indicated operations. Express the result in ordinary decimal notation.
The result of the division in ordinary decimal notation is 300.
Scientific notation, also known as standard form or exponential notation, is a method of expressing very large or very small numbers in a compact and standardized way.
To perform the indicated operation, we need to divide 0.00036 by 0.0000012.
First, let's express both numbers in scientific notation
0.00036 = 3.6 x 10^(-4)
0.0000012 = 1.2 x 10^(-6)
Now we can divide the two numbers and simplify
3.6 x 10^(-4) / 1.2 x 10^(-6) = (3.6 / 1.2) x 10^(-4-(-6)) = 3 x 10^(2)
Finally, we can convert this result back to ordinary decimal notation
3 x 10^(2) = 300
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The given question is incomplete, the complete question is:
Convert each number to scientific notation and perform the indicated operations. Express the result in ordinary decimal notation. 0.00036/0.0000012
Write the set in interval notation.
{x | 0 < x≤ 9}
Answer:
(0,9]
Step-by-step explanation:
< represents a parenthesis and would have an opened hole on the number line.
≤ represents a bracket and would have a closed hole on the number line.
1. Suzette ran and biked for a total of 34 mi in 3.5 h. Her average running speed was 6 mph and her average biking speed was 12.5 mph. Let x = total hours Suzette ran. Let y = total hours Suzette biked. Use substitution to solve for x and y. Show your work. Check your solution. (a) How many hours did Suzette run? (b) How many hours did she bike? Answer:
Answer:
answer
First we need to write system of 2 equations with 2 variables:
x*6 + y*12.5 = 34
x+y = 3.5
for substitution we express one of variables in one of equations and put it in other equation.
x = 3.5-y
(3.5 - y)*6 + 12.5*y = 34
21 - 6y + 12.5y = 34
6.5y = 13
y = 2
x = 3.5 - y = 3.5 - 2 = 1.5
she ran for 1.5 hours and biked for 2 hours.
check:
1.5*6 + 2*12.5 = 9 + 25 = 34 = 34
The average horse requires 0.0333 Megacalories (Mcal) each day for every kilogram (kg) it weighs. If your horse weights 678 kg, and the food you are buying provides 810 kcal per pound of food, how many pounds of food do you need each day for your horse?
Use the following facts:
1000 kcal = 1 Mcal
1 pound food = 810 kcal
0.0333 Mcal = 1 kg horse
Round to the nearest whole number.
On solving the provided question, we can say that Therefore, you would need multiply approximately 27.84 pounds of food each day for your horse.
what is multiplyOne of the four mathematical operations, along with arithmetic, subtraction, and division, is multiplication. Mathematically, adding subgroups of identical size repeatedly is referred to as multiplication. The multiplication formula is multiplicand multiplier yields product. To be more precise, multiplicand: Initial number (factor). Number two as a divider (factor). The outcome is known as the result after dividing the multiplicand as well as the multiplier. Adding numbers involves making several additions. as in 5 x 4 Equals 5 x 5 x 5 x 5 = 20. 5 times by 4 is what I did. This is why the process of multiplying is sometimes called "doubling."
First, we need to convert the weight of the horse from kilograms to pounds, so:
678 kg x 2.20462 lbs/kg = 1495.69 lbs
Next, we need to calculate how many Mcal the horse needs per day:
0.0333 Mcal/kg x 678 kg = 22.58 Mcal/day
Then, we can convert the Mcal to kcal:
22.58 Mcal/day x 1000 kcal/Mcal = 22,580 kcal/day
Finally, we can divide the total daily kcal needed by the kcal per pound of food to find the total pounds of food needed:
22,580 kcal/day ÷ 810 kcal/lb = 27.84 lbs/day
Therefore, you would need approximately 27.84 pounds of food each day for your horse.
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Solve the simultaneous equations
8x – 3y = 30
3x + y = 7
HELP ASAP PLEASE
Which best describes parallel lines?
Otwo lines that are always equidistant
O two lines that curve to form a circle
O two lines that intersect at multiple points
O two lines that originate from the same point
Hank bought 3 more boxes of cereal than gallons of milk. He bought x boxes of cereal at $2.79 each. Each gallon of milk costs $4.49. Consider the expression 2.79x + 4.49 (x - 3). Determine if each statement is True or False. True False The term x - 3 represents the number of gallons of milk. B True False The coefficient 2.79 represents the cost of one box of cereal. True False The expression represents the total number of boxes of cereal and gallons of milk
3 more boxes of cereal than gallons of milk
x = number of boxes of cereal
cost per box of cereal: $2.79
Cost per gallon of milk: $4.49
y= 2.79x + 4.49 (x - 3)
So, to obtain the total cost, we have to multiply the cost of each box of cereal (2.79) by the number of boxes of cereal (x) and add the product of the cost of each gallon of milk (4.49) and the number of gallons of milk (x-3)
So:
The term x - 3 represents the number of gallons of milk. TRUE
The coefficient 2.79 represents the cost of one box of cereal. TRUE
The expression represents the total number of boxes of cereal and gallons of milk FALSE
The expression represents the total cost.
A nicotine patch on the skin absorbs nicotine directly into the bloodstream some stronger patches contain 20 mg nicotine how many patches would kill half of people weighing 60 kg.
(Please answer)
ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]°
DR
X 148
B
>C
AT
Angles are not drawn to scale.
Answer:
Solution given:
x+148=180°[linear pair]
x=180°-148=32°
x=32° is your answer
Answer:
Solution:
Given,
X+48°=180°
X=180°-48°
X=32°
so,
X=32° answer
hope it is helpful to you
A caterpillar eats through 2/3 leaves for every 4/5 minutes. What is the unit ratio for leaves eaten through to minutes?
Answer:
1 1/5
Step-by-step explanation:
I need help with 11÷3/4
Answer:
14.66666666 (this will go on forever)
Answer: 14 2/3
Step-by-step explanation:
Y=7x+2 what is the slope
Answer:
The slope is 7
Step-by-step explanation:
The equation is in y=mx+b form
m=the slope
b=y-intercept
1. Ms. Rowel would like to buy a house costing $190000. She is required to make a down payment equal
to 10% of the value of the house then borrow the balance from a bank that charges interest at an annual
rate of 4.2% compounded monthly. The bank loan has to be paid o§ with equal monthly payments,
(paid at the end of each month), in 30 years. Assume that she will get the loan at the beginning of a
month and start making monthly payments on the last day of each month until the loan is paid o§
Answer:
the monthly payment would be 836.22
Step-by-step explanation:
you would find the loan amount which is 190,000 -10% of 190,000 which is 190,000 - 19,000=171,000
then you put the numbers in on a calculator which im using a spreadsheets/ excel
you need to make sure that you divide 12 for the interest and multiply 12 to the 30 years to get the monthly value of them
Change $35,000 per year to dollars per hour
25
a. Will he be able to make a right triangle with his fence? Why or why not?
Joel be not able to make a right triangle with his fence because the given dimensions are not satisfying for Pythagoras theorem.
What is Trigonometry?
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Dimensions of triangle he has to use for fencing are
15 feet, 8 feet, and 20 feet.
For making it a right triangle it must satisfy the "Pythagoras theorem" which states that
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
H²=B²+P²
20²=15²+18²
400=225+64
400≠289
No, it will not be able to make a right triangle.
Hence, Joel will be not able to make a right triangle with his fence because the given dimensions are not satisfying for pythagoras theorem.
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The complete question is given below:
Joel wants to fence off a triangular portion of his yard for his chickens. The three pieces of fencing he has to use are 15 feet, 8 feet, and 20 feet long.
1. Will he be able to make a right triangle out of his fence? Why or why not?
To complete a home repair, a carpenter is renting a tool from the local hardware store. The expression 20x + 60 represents the total charges, which includes a fixed rental fee and an hourly fee, where x is the hours of the rental. What does the coefficient of the first term of the expression represent? The total hourly rental fee paid for the tool The fixed rental charge for the tool The fee charged per hour for the tool The total charge for the tool rental
Answer:
The Answer is C
Step-by-step explanation:
The coefficient of the first term of the expression represents the tool fee that the carpenter is charging. we know this because it says it here "where x is the hours of the rental." "The expression 20x + 60 represents the total charges."
Answer:
The Answer is C
the fee charged per hour for the tool
Step-by-step explanation:
The coefficient of the first term of the expression represents the tool fee that the carpenter is charging. we know this because it says it here "where x is the hours of the rental." "The expression 20x + 60 represents the total charges."
Simplify:
3 [23 + (4 – 2)3 – (6 - 2)2]
A. 3
B. 12
D. 24
E-3
Answer:63
Step-by-step explanation:
At the end of year 5, the account was valued at $3203.19. At the end of year 6, the account was valued at $3315.30. What was the interest rate, as a percent?
well, from the end of year 5 to the end of year 6 is only 1 year later, so
\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$3315.30\\ P=\textit{original amount deposited}\dotfill & \$3203.19\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases} \\\\\\ 3315.30=3203.19[1+(\frac{r}{100})(1)] \implies \cfrac{3315.30}{3203.19}=1+\cfrac{r}{100} \\\\\\ \cfrac{3315.30}{3203.19}-1=\cfrac{r}{100}\implies 100\left( \cfrac{3315.30}{3203.19}-1 \right)=r\implies \stackrel{\%}{3.5}\approx r\)
what is 3 ( 8 -4x) equivalent to
Answer:
-12x + 24
Step-by-step explanation:
From his eye, which stands 1.55 meters above the ground, Tyler measures the angle of elevation to the top of a prominent skyscraper to be 57^{\circ} ∘ . If he is standing at a horizontal distance of 112 meters from the base of the skyscraper, what is the height of the skyscraper? Round your answer to the nearest hundredth of a meter if necessary.
Answer: ≈ 174.01
Thus, The Sky Scraper ≈ 174.01
Step-by-step explanation:
From his eye, which stands 1.55 meters above the ground, Tyler measures the angle of elevation to the top of a prominent skyscraper to be 57∘
∘. If he is standing at a horizontal distance of 112 meters from the base of the skyscraper, what is the height of the skyscraper? Round your answer to the nearest hundredth of a meter if necessary.
1 - Draw Diagrams, Label Knowns:
Unknowns: X
2 - Identify: OPPOSITE, ADJACENT, HYPOTENUSE
3 - WHAT FUNCTION USES THE OPPOSITE AND THE ADJACENT?
SOH - CAH - TOA
NOW SHOWING WORK:
tan 57 = opposite/adjacent = x/112
tan 57 = x/112
tan 57/1 = x/112
112 tan 57 = x ( Cross Multiply)
x = 172.464875 (Now, type into the calculator)
So, Now we ADD:
1.55, the distance from the ground to his eye.
172.464875 + 1.55 = 174.014875
≈ 174.01 (Round to The Nearest HUNDREDTH)
Thus, the Sky Scraper is ≈ 174.01 meters tall.
So, your answer would be :
Sky Scraper ≈ 174.01
Hope I have explained it and helped you in your studies!
The height of the skyscraper is given by H = 174.01 m
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
We can start by drawing a right triangle, where the horizontal distance from Tyler to the base of the skyscraper is one leg, the height of the skyscraper is the other leg, and the line of sight from Tyler's eye to the top of the skyscraper is the hypotenuse.
Then we can use trigonometry to solve for the height of the skyscraper.
Let the height above the ground from his eye = 1.55 m
Now , the angle of elevation θ = 57°
The horizontal distance from the base of the skyscraper = 112 m
Now , from the trigonometric relations ,
tan θ = opposite / adjacent
So , tan 57° = x / 112
Multiply by 112 on both sides , we get
x = 172.46 m
Now , the total height of the skyscraper = 172.46m + 1.55 m
So , height H = 174.01 m
Hence , the skyscraper has a height of 174.01 m
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