Answer:
A numeric palindrome is a number that remains the same when its digits are reversed.
An Armstrong number of three digits is an integer such that the sum of the cubes of its digits is equal to the number itself.
A Mersenne prime is a prime number that is one less than a power of two.
Step-by-step explanation:
An example of a palindromic number is 16461.
371 is an Armstrong number since 3^3 + 7^3 + 1^3 = 371.
A Mersenne is a prime number of the form Mₙ = 2ⁿ − 1 for some integer n.
Please help on number 9 and 10. Will mark brainliest.
Answer:
9. 1.24 mL
10. $5.93
Step-by-step explanation:
Question 9:
If the dosage of medicine is 0.01 mL per pound of weight of the patient, and the patient's weight is 124 pounds, we can set up an equation to solve for how much medicine the patient would need to take:
Dosage of medicine per pound of body weight x Total body weight = Total medicine required
OR
0.01 * w = m,
where w is total body weight and m is total medicine required.
To solve for the dosage the patient needs, just plug the numbers into the right places (124 for w and leave m as it is):
0.01 * 124 = m
1.24 = m
Therefore, a patient with a body weight of 124 pounds would need a 1.24 mL dosage.
Question 10:
To make the multiplication easier, we could rewrite 15% as 0.15 ( because 15% = 15/100):
0.15 * Total bill = Total tax payed for bill (Also can be written as [tex]\frac{15}{100} * 39.51[/tex])
OR
0.15*39.51 = Total tax
5.9265 = Total tax
5.93 = Total tax <-------- (rounded)
While on vacation in Canada, you notice that temperatures are reported in degrees Celsius. You know there is a linear
relationship between Fahrenheit and Celsius, but you forget the formula. you remember the freezing point of water is 0°C
or 32°F and its boiling point is 100°C or 212°F
a Write an equation that represents degrees Fahrenheit in terms of degrees Celsius. Let x represent the temperature in degrees Celsius and
let y represent the temperature in degrees Fahrenheit
Since , the relation is linear .
Let equation is y = mx + c .
Putting , x = 0 and y = 32 .
32 = c .......( 1 )
Also , putting x = 100 and y = 212 .
We get :
212 = 100m + c .......( 2 )
Comparing equation 1 and 2 .
100m = 212 - 32
x = 1.8
Therefore , y = 1.8x + 32 .
Hence , this is the required solution .
[tex]y=\dfrac{9}{5}x+32[/tex] represents degrees Fahrenheit in terms of degrees Celsius. where x represent the temperature in degrees Celsius and y represents the temperature in degrees Fahrenheit.
Temperature can be expressed in different units like degrees Celsius and degrees Fahrenheit.
Let us consider two variables x and y as following:
x represent the temperature in degrees Celsius
y represent the temperature in degrees Fahrenheit
Equation depicting relation between variable x and y is
[tex]y-y_1=m(x-x_1)[/tex]...........................1
where, [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Using the given conditions:
[tex](x_1,y_1)=(0,32) \text{\ and\ }(x_2,y_2)=(100,212)[/tex]
Substituting to calculate the value of m,
[tex]m=\dfrac{212-32}{100-0}\\\\m=\dfrac{180}{100}\\\\m=9/5[/tex]
From equation 1
[tex]y-32=\dfrac{9}{5}(x-0)\\y-32=\dfrac{9}{5}x\\y=\dfrac{9}{5}x+32[/tex]
Thus, an equation that representing degrees Fahrenheit in terms of degrees Celsius is [tex]y=\dfrac{9}{5}x+32[/tex].
Learn more about unit conversion, here:
https://brainly.com/question/28969559
#SPJ3
Find the axis of symmetry f(x) = 2x2 - 4x.
Answer:
x=1
Step-by-step explanation:
The function graph is a parabola (branches pointing up). Vertex (1; -2). The graph is symmetrical about the x axis = 1
[tex]f(x)=2x^{2} -4x \\x_{0} =-b/2a=-(-4)/(2*2)=1\\f(1)=-2\\[/tex]
Suppose S is between R and T. Use the Segment Addition Postulate to solve for the variable. Round to three decimal places. RS = 9y − 2 ST = y + 7 RT = 26
Answer:
The variable y = 2.100
Step-by-step explanation:
Here, we are told to solve for the variable y.
We are asked to use the segment addition postulate. In summary, the postulate is of the opinion that given 3 points X,Y and Z, we can only say that these 3 points are collinear(lie on the same line) if they obey the formula below;
XZ = XY + YZ
Now, we have that S is between R and T.
Mathematically that means;
RT = RS + ST
from the question, we are told that RT = 26, RS = 9y-2 and ST = y + 7
Now, insert these values into the alphabetical equation;
26 = (9y-2) + (y + 7)
26 = 9y-2 + y + 7
26 = 9y+y -2 + 7
26 = 10y + 5
26-5 = 10y
10y = 21
y = 21/10
y = 2.1
Which is y = 2.100 to three decimal places
I need help ASAP PLEASE!
Determine whether this statement is true or false. If the statement is false, give a counterexample.
Statement: All integers are rational numbers.
Which property of addition is shown? f + 0 = f
Answer: Additive Identity Property
Step-by-step explanation:
Additive Identity Property: The sum of any number and zero is the original number. For example 5 + 0 = 5.
What is the next two items in the row?
-1
2
5
8
Box 1
Box 2
Select the correct answer from each dropdown menu.
Box 1
[ Select ]
Box 2 [Select]
20 pts
Answer:
12, 15 would be the next two in that order
Use the order of
operations to evaluate
the expression
(-8X14)-(-2X-10)
Answer:
the order of operations is .called BODMAS rule
B.brackets
O.of
D.division
M.multiplication
A.addition
S.subtraction
Step-by-step explanation:
= (-112)-(20)
= -132
Find the slope of the line that passes through point (2,8) and point (9,7).
Answer:
m = -1/7
Step-by-step explanation:
7 - 8 = -1
9 - 2 = 7
m = -1/7
(-1,0) (-10,-1) find coordinates
Answer:
Use a graph calculator
Step-by-step explanation:
ASAP ASAP ASAP ASAP ASAP HELP HELP HELP HELP PLS ASAP ASAP ASAP ASAP ASAP HELP HELP HELP HELP PLS ASAP ASAP ASAP ASAP ASAP HELP HELP HELP HELP PLS ASAP ASAP ASAP ASAP ASAP HELP HELP HELP HELP PLS
Answer:
$16???
Step-by-step explanation:
Because each pizza costs $6 and each topping costs $2 each and they want 5 toppings so you want to multiply 5 X 2 and get 10 then add the 6 therefore the answer is 16!!..
Answer:
$16
Step-by-step explanation:
By what number should 1 1/2 be divided to get 2/3 ? *
Answer:
1
Step-by-step explanation:
1) The equation is 1 1/2 ÷ x = 2/3
2) You can multiply 2/3 with 1 1/2 to get your answer
3) 2/3 × 1 1/2 = 1
Hope this helps!
a.
7
L 1. Andrew's hobby is mountaineering. He
started his hike at 250 feet above sea level.
When he reached the peak of the mountain
he was at 1700 feet above sea level. How
many feet did Jake hike up the mountain?
Answer:1700
Step-by-step explanation:
In total, he traveled 1700 feet. He had to get to the 250ft starting point somehow, so you would count that as the overall total distance traveled.
Which letter represents the first number in an ordered pair?
Step-by-step explanation:
Example: (5,2)
On a graph, the 5 goes on the x-axis and the 2 goes on the y-axis.
Also, in the world of variables, and the alphabet, x is before y.
So x represents the first number in an ordered pair.
hope it helps!
y=2x+3 help please ...
Answer:
x=-3/2
y=3
Step-by-step explanation:
i hope this helps
Answer:
x=2x+3 Improper question not enough details The only answer can be found right now is 3x+3
Step-by-step explanation:
Combine like terms and give me brainliest please
evaluate the expression -8 + (-15)
Hey there!
ANSWER: [tex]-23[/tex]EXPLANATION:[tex]-8+(-15)[/tex]
To easily solve this, try removing the negative and add 8 + 15.
[tex]8+(15)=23[/tex]
Now add back the negative.
[tex]-8+(-15)=-23\\-23(ANSWER)[/tex]
Hope this helps and have a great weekend!
[tex]\text {-TestedHyperr}[/tex]
the square root of -12 is between what two numbers
Answer:
Under root of-12 may lie between two imaginary numbers.
Step-by-step explanation:
Consider,[tex] \sqrt{ - 12} [/tex][tex] \sqrt{ - 1 \times 12} [/tex][tex] \sqrt{12 } \times \sqrt{ - 1} [/tex][tex]3.46 \times \sqrt{ - 1} [/tex][tex] \sqrt{ - 1} = i(imaginary no.)[/tex][tex]3.46 \times i[/tex]it will lie in b/w 3i-4iAnswer:
it will lie in between 3i and 4i
f f(x) = 0, what is x?
0 only
–6 only
–2, 1, or 3 only
–6, –2, 1, or 3 only
pls help i need help
Answer:
4.69, hope this helps, Thank you
The Bureau of Labor and Statistics (2018) reports that the average earner with a high school diploma will earn about $35,000 per year, an earner with a bachelor's degree will earn about $59,000 per year. The average salary of the high school graduate is what percent of the college graduate?
Answer:
59.322% or 59%
Step-by-step explanation:
devide 59,000 from 35,000 to get the answer.
After that, you will get 59% (rounded).
the answer is D (59.3%)
i jus got done takin the math quiz on knowledgematters
find the area of the isosceles triangle.
Answer:
60 cm
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
find the distance between (-6,4) and (-2,1)
Answer:
[tex]d=2.65[/tex]
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2-(y_2-y_1)^2}[/tex]
Simply plug in your 2 coordinates into the formula to find distance d:
[tex]d=\sqrt{(-2-(-6))^2-(1-4)^2}[/tex]
[tex]d=\sqrt{(-2+6))^2-(-3)^2}[/tex]
[tex]d=\sqrt{(4)^2-9}[/tex]
[tex]d=\sqrt{16-9}[/tex]
[tex]d=\sqrt{7}[/tex]
[tex]d=2.65[/tex]
simplify 2(-36-3i)+ (5+2i) (12-2i)
Answer:
-8 + 8i
Step-by-step explanation:
Nancy and two friend paid a 15% tip for a restaurant bill of $51. Then
they split the bill evenly how much did each person pay? *
Answer:
they payed 3.825 each
Step-by-step explanation:
15% of 51 is 7.65 so you divide that by two and get 3.825
Answer:
Answer:
Tip Total: $ 7.65
Tip Each Person: $ 3.83
Total (Bill + Tip): $ 58.65
Total Each Person: $ 29.33
*I hope it helped!!*
Step-by-step explanation:
4+10=-2(8x-7) this dosent make any sence to me. can someone help me out
Answer: x=0
Step-by-step explanation:
(you are trying to find x)
4+10=-2(8x-7)
2+5=(8x+7)
7=(8x+7)
0=8x
x=0
Pls rate this brainliest
If ST=SV=90, TU=7x, and UV=x+84, what is the value of x?
For a science experiment, Marcia dissolved 1.0 kilogram of salt in 3.0 liters of water. For a different experiment, Bobby dissolved 2.0 pounds of salt in 7.0 pints of water. Which person made a more concentrated salt solution? Explain. Use 1 L = 2.11 pints. Round your answer to the nearest hundredth.
Step-by-step explanation:
The concentration of Marcia's solution is:
1.0 kg / 3.0 L = 0.33 kg/L
The concentration of Bobby's solution is:
(2.0 lb × 1 kg / 2.2 lb) / (7.0 pints × 1 L / 2.11 pints) = 0.27 kg/L
Therefore, Marcia's solution is more concentrated.
Piano lessons cost $30 per lesson. Choose the graph that represents the total cost for x number of lessons. On a coordinate plane, the x-axis is labeled Lessons and the y-axis is labeled Total Cost (dollars). Points (1, 30), (2, 30), (3, 30), (4, 30), and (4, 30) are plotted. On a coordinate plane, the x-axis is labeled Lessons and the y-axis is labeled Total Cost (dollars). Points (0, 30), (1, 60), (2, 90), (3, 120), and (4, 150) are plotted. On a coordinate plane, the x-axis is labeled Lessons and the y-axis is labeled Total Cost (dollars). Points (1, 30), (2, 60), (3, 90), (4, 120), and (5, 150) are plotted.
Answer:
On a coordinate plane, the x-axis is labeled Lessons and the y-axis is labeled Total Cost (dollars). Points (1, 30), (2, 60), (3, 90), (4, 120), and (5, 150) are plotted.
Step-by-step explanation:
Answer
Im going to keep this simple the answer is c
Step-by-step explanation:
Solve equation: 3 (x + 4) - 5 (1 - 1) < 5
Answer:
x<-7/3
Step-by-step explanation:
3x+12<5
3x+12-12<5-12
3x<-7
3x/3<-7/3
x<-7/3
What is Equivalent?
Is it possible for two things to look different but be equal
to one another? Think about $10... is a $10 bill the only
way you can have $10? Give an example of money that
is equivalent to a $10 bill.
Answer:
Equivalent is when two things contain the same total value. For example, you could give two 5 dollar bills instead of one 10 dollar bill and they would be equivalent as they would both total to be 10 dollars.
Step-by-step explanation:
$10 = 2 * x
$10/2 = $5
x = $5