Answer:
7.814 * 10^6
Step-by-step explanation:
Move the decimal point (which is at the end of the number) six places to the left so that you have one non-zero digit to the left of the decimal point. The number of places it is moved to the left is the exponent. Since it is moved to the left it is a positive exponent.
the sum of squares of two consecutive odd numbers is 514 find the numbers
Correct Question : The sum of squares of two consecutive positive odd numbers is 514. Find the numbers.
[tex]\rule{130}1[/tex]
Solution :
Let the two consecutive positive odd numbers be x and (x + 2)
[tex]\rule{130}1[/tex]
☯ [tex]\underline{\boldsymbol{According\: to \:the\: Question\:now :}}[/tex]
[tex]:\implies\sf x^2 + (x + 2)^{2} = 514 \\\\\\:\implies\sf x^2 + x^2 + 4x + 4 = 514\\\\\\:\implies\sf 2x^2 + 4x + 4 = 514 \\\\\\:\implies\sf 2x^2 + 4x = 514 - 4\\\\\\:\implies\sf 2x^2 + 4x = 510 \\\\\\:\implies\sf 2x^2 + 4x - 510 = 0\\\\\\:\implies\sf x^2 + 2x - 255 = 0 \:\:\:\:\:\Bigg\lgroup \bf{Dividing\:by\:2}\Bigg\rgroup\\\\\\:\implies\sf x^2 + 17x - 15x - 255 = 0\\\\\\:\implies\sf x(x + 17) - 15(x + 17) = 0\\\\\\:\implies\sf (x + 17) (x - 15)\\\\\\:\implies\sf x = - 17\:or\:x = 15\\\\\\:\implies\underline{\boxed {\sf x = 15}}\:\:\:\:\:\Bigg\lgroup \bf{Positive\:odd\: number}\Bigg\rgroup[/tex]
When,
[tex]\bullet\: \textsf {x = } \textbf {15} [/tex]
[tex]\bullet\: \sf x + 2 = 15 + 2 =\textbf{ 17} [/tex]
[tex]\therefore\:\underline{\textsf{The required positive integer is \textbf{15 and 17}}}.[/tex]
If $1205 is borrowed for 11 years at an annual simple interest rate of 11.3%, what is the total
amount that must be repaid rounded to the nearest cent
Answer:
$2,702.82
Step-by-step explanation:
The formula for simple interest is
I = Prt
where
I = interest amount
P = amount invested (the principal)
r = annual rate of interest
t = time in years
11.3% = 0.113 as a decimal
Now we use the formula to find the amount of interest earned.
I = $1,205 * 0.113 * 11
I = $1,497.82
The interest amount is $1,497.82.
Now we add the earned interest to the principal amount.
$1,205 + $1,497.82 = $2,702.82
Plzzzzz help will give brain and points!!! Explain why a quadratic equation with a positive discriminant has two real solutions, And why a quadratic equation with a negative discriminant has no real solution, And a quadratic equation with a discriminant of zero has one real solution.
Answer:
The given equation is -2x^2 = -8x + 8
This can be rewritten as 2x^2 - 8x + 8 = 0
Here the value of a =2, b = -8 and c = 8
Discriminant = b^2 - 4ac
Now plug in the above values in the discriminant, we get
= (-8)^2 - 4*2*8
= 64 - 64
= 0
Here the discriminant is 0, so we will get one real root.
The discriminant is equal to 0, which means the equation has one real number solution.
Hope this will helpful.
Thank you.
Explain how u can decide where to place the first digit of the answer for 6,139 / 153
Answer:
The first digit would go in the tens place.
Step-by-step explanation:
First we estimate the approximate numbers. For 6130 we estimate 6000 and for 153 we estimate almost 150.
So dividing 6000 by 150 would give 40 .
The four would go in the ten's place .
Now check by dividing
40.1 So the answer is correct. The quotient is 40.12.
[tex]153\sqrt{6139}[/tex]
612
190
153
37
The first digit would go in the tens place.
The answer is justified. We can easily decide where to place the first digit.
Step-by-step explanation:
explain how you can decide where to place the first diget in the quotiont for 6,139÷135
The school ski club went on a ski trip. The ski changed the group $1120 for 32 lift tickets. How much was each ticket?
Answer:
$35 per ticket
Step-by-step explanation:
1120 divided by 32 is 35, I used a calculator. If you divide the cost by the quantity you will get the cost for one quantity
Which of the following graphs represent functions Circle your answers. If it is a function, state the domain
and range. If the graph is not included, make a table and graph the function by hand.
Answer:
Step-by-step explanation:
A). y = |2x - 3| + 1
Domain of function is defined by the x-values (Input values) and Range by the y-values(Output values).
From the graph,
Domain : (-∞, ∞)
Range : [1, ∞)
B). Table of the input-output values of the function,
y = x² - 2x + 1
x -2 -1 0 1 2
y 9 4 1 0 1
By graphing the function as attached,
Domain of the function : (-∞, ∞)
Range of the function : [0, ∞)
C). x² + y² = 3²
Domain of the function : [-3, 3]
Range of the function : [-3, 3]
D). x = 5
Domain of the line : [5, 5]
Range of the line : (-∞, ∞)
Tarun has a few balloons with him. The number of balloons he has is MORE than 15 but LESS than 20. He gives 5 of them to Sia. What could be the number of balloons LEFT with Tarun
Answer:
No. of balloons left with Tarun is MORE than 10
but LESS than 15.
10 < No. of balloons left with Tarun <15
Step-by-step explanation:
this is problem of inequality . first we will try to write the existing condition in inequality form then apply other situation as given in the problem.
___________________________________________________
let the no . of balloons with Tarun be x
Given he has is MORE than 15 balloons
thus, in equality it can be represented as
x > 15
he has LESS than 20 balloons
x < 20
combining both we have
15 < x < 20
now he gives 5 of them to sia
so we have to subtract 5 from inequality
he has left with him x-5 , let x-5 be y
thus,
subtracting 5 from each part of inequality
15 -5 < x-5 < 20 -5
10 < x-5 < 15
10 < y <15
Thus, No. of balloons left with Tarun is MORE than 10
but LESS than 15.
A large ice cream distributor wants to analyze the effect of season (winter, spring, summer, fall) on daily ice cream sales in dollars. How many independent variables does the manufacturer need to include in the multiple regression model?
Answer:
4
Step-by-step explanation:
The independent variable is the variable used to explain the dependent variable.
The researcher wants to know how the seasons (independent variable) affects ice cream sales (dependent variable).
The researcher would regress ice cream sales against each season. There are four seasons, so the independent variable would be four
Solve the equation
(please show work if possible)
Answer:
-10
Step-by-step explanation:
imma be honest all i do is put in different numbers until it is right. But the way to do it is subract 2 by puting it under the negative 3 and you get -5. then multiply the 2 by putting it under the -5. you get -10. and the answer will read r = -10. Therefore r is -10
Answer:
I’m sorry I thought I saw a positive 3, The correct answer would be -10.
5 5/6+(-1/6)+2 2/3+(-2 2/3)
Answer:
17/3 or 5 2/3 or 5.6 repeating
Step-by-step explanation:
z
Answer:
5(5/6)+(-1/6)+2(2/3)+(-2)(2/3)
(35/6)-(1/6)+(8/3)-(8/3)
find the least common multiple which is 3
therefore 70-3+16-16
the answer is 67
In the following questions, look at different ways to represent the relation given by the equation y = x2 - 1. The table below shows some values for the given equation. Find the values of a and b.
Question: In the following questions, look at different ways to represent the relation given by the equation y = x2 - 1. The table below shows some values for the given equation. Find the values of a and b.
Answer:
a= 3
b= 0
The value of a and be will be three and zero respectively.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
We are given the quadratic equation as;
y = x² - 1
From the given table;
At x = -2, y = (-2)² - 1 = 3
At x = -1, y = 0
At x = 0, y = -1
At x = 1, y = 0
Now, from the values above, we can say that the first graph is the correct one that shows some values for the given equation.
Therefore, values of a and be will be three and zero respectively.
The complete question is given below:-
In the following questions, look at different ways to represent the relation given by the
equation y = x2 - 1.
The table below shows some values for the given equation. Find the values of a and b.
a =
b =
The table is attached with the answer.
Read more about Quadratic Function Graphs at; brainly.com/question/1523847
#SPJ5
The Article states:
Jim LeBrecht is a former Jened camper. He uses a wheelchair because he has
spina bifida. In a documentary about the camp, LeBrecht described the frustration
he felt as a teen: "I wanted to be part of the world, but I didn't see anyone like me in
it."
Which is the closest antonym for the word former?
A traditional
B
skillful
с
patient
D
current
"Former" means "past", more or less. So he used to be a camper.
Antonym means the opposite.
I would say "future" is more opposite than "past", but "current" works as well too.
in the figure on the right, the lenght of the segment A must be x + 3, the length of segment B must be x +2, and the length of segment C must be x + 1. the perimeter of the triangle is 30cm. equate the sum of the lengths of the segments to 30 and solve for x
Answer:
x=8
Step-by-step explanation:
A= x+3
B= x+2
C= x+1
A+B+C=30
[tex]x+3+x+2+x+1=30\\3x+6=30\\3x=30-6\\3x=24\\x=\frac{24}{3}\\x=8[/tex]
ANS: X=8
Plz help ASAP!!!!!! Will mark brainliest
Answer:
D. 180cubic cm
Step-by-step explanation:
volume=h*w*L
V=6*5*6
v=180
I will Give BRAINLIEST!!!!!!!!
Answer:
2nd and 4th
Step-by-step explanation:
16.50÷6=2.75
So the second one is true.
12x2.75=33
So the fourth one is true.
Answer:
The first and fourth statements are true.
Step-by-step explanation:
We know that 6 pounds of blueberries costs $16.50 so 1 pound costs 16.5 / 6 = $2.75. Therefore, the first statement is true. The second statement can't be true because this is a direct proportion. In a direct proportion, when one variable increases, the other increases as well so the price of 2.75 pounds can't be less than the price of 1 pound. The cost of 5 pounds is 2.75 * 5 = 13.75 so the third statement is false. The cost of 12 pounds will be 2.75 * 12 = 33 so the fourth statement is true. The cost of 3 pounds is 2.75 * 3 = 8.25 so the fifth statement is false.
PLZ HELP HURRY PLZ Below are the data collected from two random samples of 100 members of a large travel club regarding the type of vacation they prefer: Which of the following inferences can be made based on the data? Most members prefer a beach vacation. Most members prefer a adventure vacation. More members prefer an adventure vacation and a ski vacation than a cruise vacation. More members prefer a beach vacation and ski vacation than an adventure vacation.
More members prefer a beach vacation and ski vacation than an adventure vacation.
======================================================
Explanation:
Let's go through the four answer choices to see which one is true.
Choice A is false because most members prefer a cruise, as 70+72 = 142 is the largest column sum. Choice B is false for the same reasoning as choice A.Choice C is false. We have 6+1 = 7 people who prefer adventure and 19+21 = 40 who prefer to ski, giving 7+40 = 47 people who prefer either. But this is nowhere near 142 we found back in choice A above. So more people prefer a cruise than the combined amount for adventure and ski.Choice D is true. Adding the column totals for "beach" and "ski" gives (5+6)+(19+21) = 11+40 = 51, and this exceeds the column total of "adventure (6+1 = 7).-ax-20=-14
solve the equation
6х + Зу = 12
solve for y
Answer:
3.
Step-by-step explanation:
Rearrange to make it easier: 6*x+3*y-(12)=0
Find like factors and eliminate them: 6x + 3y - 12 = 3 x (2x + y - 4)
So then you get 3 = 0. So y would be 3.
a store makes a profit of $1000 in January. in February the sales are up 25%, but in March the profit is down 25%. The manager says the profit for the march is still $1000. What is his error? What is the actual profit for the march?
Answer:
The profit is 937.50$ The manager subtracted 25% from januarary's profit not march's.
Step-by-step explanation:
1000 times 25% is 1250 - 25% = 937.50
Answer:
Step-by-step explanation:
The profit is 937.50$ The manager subtracted 25% from januarary's profit, not march's.
Step-by-step explanation:
1000 times 25% is 1250 - 25% = 937.50
What is the answer to this problem 30 + (16/2)
Answer:
Brainliest!
Step-by-step explanation:
30+8
=38
16/2 = 8
Answer:
38
Step-by-step explanation:
16/2 = 8
30 + 8 = 38
On the number line above, points J, K, L, and M are integers, and JK:KL:KM = 2:1:3. What is the value of KM? number line shown below
Answer:
F. 12Step-by-step explanation:
The distance between A and M i.e JM = M - J = 5-(-19)
JM = 5+19
JM = 24
If JK:KL:KM = 2:1:3
The total ratio = 2+1+3
Total ratio = 6
Dividing each length based on ratio
length JK = 2/6 * JM
JK = 1/3 * 24
JK = 8
length KL = 1/6 * JM
KL = 1/6 * 24
KL = 4
length KM = 3/6 * JM
KM = 1/2 * 24
KM = 12
Hence the value of KM is 12
For the given function, identify the x- and y-intercepts if any, the vertex, the axis of symmetry, and the maximum or minimum value. f(x)=−x2+25 A) There are no x-intercepts. The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is y=0. The maximum value of the function is 25. B) The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is x=0. The maximum value of the function is 25. C) The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,−25). The vertex is (0,−25). The axis of symmetry is x=0. The minimum value of the function is −25. D) The x-intercepts are (−25,0) and (25,0). The y-intercept is (0,5). The vertex is (0,5). The axis of symmetry is x=0. The maximum value of the function is 5.
Answer:
B) The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is x=0. The maximum value of the function is 25.
Step-by-step explanation:
Given that the function is:
[tex]y=f(x)=-x^2+25[/tex]
It is quadratic equation, therefore we can observe that it is a parabola.
The coefficient of [tex]x^{2}[/tex] is negative, therefore it opens downwards.
That means it will have a maximum value.
This maximum value is at the vertex and where x = 0.
Also, vertex is at x intercept.
x intercept is the value of x where we have y = 0 and
y intercept is the value of y where we have x = 0
So, let us put y = 0 first.
[tex]0=-x^2+25\\ \Rightarrow x^{2} =25\\\Rightarrow x =5, -5[/tex]
Therefore x intercepts are at (5, 0) and (-5, 0)
Now, let us put x = 0,
[tex]y=0+25\\\Rightarrow y =25[/tex]
Therefore y intercept is at (0, 25).
It is the point of maximum value (which is 25) and vertex of parabola as explained above.
Kindly refer to the attached image for the graph of given function.
Therefore, correct option is:
B) The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is x=0. The maximum value of the function is 25.
Answer:
Vertex = (3,–4), y-intercept = (0,5), x-intercepts = (1,0) and (5,0), axis of symmetry is x = 3
Step-by-step explanation:
A car is at a distance s, in miles from its starting point in t hours, given by s(t)=10t^2. Find s(2) and s(5). Find s(5)-s(2). What does this represent? Find the average rate of change from t=2 to t=5. This is the average velocity
Answer:
Average Velocity= 70 miles per hour
Step-by-step explanation:
Distance= s
Time = t
s(t)=10t^2
Putting the values
s(2) = 10 (2)^2= 10&4
s= 40
s(5) = 10 (5)^2 = 10*25
S(5)= 250
The average velocity is defined as the rate of change of speed in unit time.
So
Speed= distance/time
Velocity = Speed in a definite direction
Average Velocity= Displacement/ Time
Average Velocity= Change in distance/ Change in time
s(5) - s(2)/ t(5)- t(2)
= 250-40/5-2= 210/3= 70 miles per hour
cual es la raíz cuadrada de cuatro
Answer:
2
Step-by-step explanation:
√4 = 2
12. Rice is sold in 75 gram packs and 120 gram packs.
The masses of both packs are given correct to the nearest gram.
Calculate the lower bound for the difference in mass between the two packs.
Answer:
44g
Step-by-step explanation:
Rice is sold in 75-gram packs and 120-gram packs.
74.5 to 75.5 119.5 to 120.5
lowest possible difference = 119.5 - 75.5 = 120-75-1 = 44g
how many teacher are there in your class-7 including your class supervisor? how many are Male teachers and female teachers?express Male and female teachers in percent.
soln
total teachers = 11
male teachers = 5
female teachers =6
now,
Answer:
45% male teachers
55% female teachers
Step-by-step explanation:
multiply the number of teachers with 100 and divide it by the total number of teachers
Helppppppppp please !!!
Answer:
Hey there!
Rhianna has 1/2 of a box of pencils left after using some at school.
The bottom two boxes would be 3÷3=1.
Let me know if this helps :)
Answer:
2Step-by-step explanation:
There are 6 spaces and three are shaded
= [tex]6\div 3 = 2\\[/tex]
I NEED HELP FASTT PLEASE
Answer:
x'5/3.y1/3 is the correct answer
5. What is the slope of the line that passes through (-2, 4) and (7, 1)?
-9/5
-1/3
3
5/9
Answer:
Slope: [tex]-\frac{1}{3}[/tex]
Step-by-step explanation:
Step 1: Use slope formula to find the slope
[tex]m = \frac{y2 - y1}{x2- x1}=\frac{4-1}{-2-7}=\frac{3}{-9} =-\frac{1}{3}[/tex]
Therefore the slope of a line that passes through (-2, 4) and (7, 1) is [tex]-\frac{1}{3}[/tex]
Which fractions are equal to 2/3 ? Check all that are true. 1/3 6/9 4/6 1/6 3/2
Step-by-step explanation:
2/3=4/6=6/9
your answer is 4/6,6/9
explanation
(2/3)×2=4/6
therefore 4/6 is a multiple of 2/3
(2/3)×3=6/9
therefore 6/9 is a multiple
if we comprise 4/6 & 6/9 we get 2/3
(b) 6/9 and (c) 4/6 are equivalent to 2/3
The fraction is given as:
[tex]\mathbf{Fraction = \frac 23}[/tex]
The equivalent fractions are 6/9 and 4/6, because they can be reduced to 2/3.
The proof is as follows
[tex]\mathbf{Fraction = \frac 69}[/tex]
Divide the numerator and the denominator by 3
[tex]\mathbf{Fraction = \frac{6/3}{9/3}}[/tex]
[tex]\mathbf{Fraction = \frac{2}{3}}[/tex]
Also, we have:
[tex]\mathbf{Fraction = \frac 46}[/tex]
Divide the numerator and the denominator by 2
[tex]\mathbf{Fraction = \frac 23}[/tex]
Hence, 6/9 and 4/6 are equivalent to 2/3
Read more about equivalent fractions at:
https://brainly.com/question/17912