a) To create an equation
X+X =7
so what's X over here is
7² = x²
X=3.5
b) Real numbers are mixture of irrational and rational numbers so √5 and √6 are irrational where as 5 and 6 are not but they two are equal to each other.
Explaining the equation:
√5 +√6 = √11
5 +6 = 11
√11 =11
√= 11 ÷ 11
√= 1
So if root is 1 then -1 is -√
this is the answer propably
Solve 2x + 4 > 16.
A. X>6
B. X> 10
C. x< 6
D. x<10
Answer:
x > 6
Step-by-step explanation:
2x + 4 > 16
Subtract 4 from each side
2x + 4-4 > 16-4
2x> 12
Divide by 2
2x/2 > 12/2
x > 6
Answer:
A. X>6
2 (7) + 4 > 16
14 + 4 > 16
18 > 16
Which number is a multiple of 6 and 8
Answer:
The lowest number that is a multiple of 6 and 8 is 24.
Step-by-step explanation:
6, 12, 18, 24.
8, 16, 24.
Out of the given numbers, 24 is the multiple of 6 and 8. Hence, the option (3) is correct.
Let's check for all the given options:
1) 3: 3 is divisible by neither 6 nor 8 hence it is not a multiple of both.
2) 18 : 18 is divisible by 6 but not divisible by 8. Hence, this option is not correct. Since we have to find a number which is divisible by 6 as well as by 8.
3) 24: 24 is divisible by 6 as well as by 8. Hence, this option is correct.
4) 2: 2 is neither divisible by 6 nor by 8. Hence, this option is not correct.
Hence, the correct option is (3).
Learn more about divisibility here:
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For what values of the variables are the following expressions defined? •18/y
Answer:
function 18/y is defined for all values of y such that [tex]y \in R, y\neq 0[/tex]
Step-by-step explanation:
given data
number = 18/y
solution
in given value 18/y
If y=0, the function will be Undefined.
Because, the function is undefined if its denominator = 0
so that if we determine the function is defined, we will find out for what values the function is undefined and remove it
so, the function 18/y is defined for all values of y such that
[tex]y \in R, y\neq 0[/tex]
HELP ME NOW PLSSSSSS
Answer:
A-2/9
Step-by-step explanation:
assuming he has 3 each of nickles, dimes and quarters, because its says "equal number of coins each)
3x3=9
he only made two draws and he and needs 2 coins to make $.30. He could chose 1 nickle and 1 quarter.
so I think it would be 2/9
Answer:
5/9
Step-by-step explanation:
Hello,
To continue on the same logic as for other questions, let s check the possible outcomes, they are 9
First draw second draw sum of the value Is it >= 30c?
dimes dimes 20
dimes nickels 15
dimes quarters 35 Yes
nickels dimes 15
nickels nickels 10
nickels quarters 30 Yes
quarters dimes 35 Yes
quarters nickels 30 Yes
quarters quarters 50 Yes
For only 5 the sum is >= 30c
so the probability is 5/9
hope this helps
If the nth term of a number sequence is n squared -5 find the first 3 terms and the 10th term
Answer:
If the nth term is n^-5,
Then the first term will be (1)^-5=1
Second term will be (2)^-5= 1/32
3rd term=(3)^-5 = 1/243
So, 10th term will be (10)^-5=1/100000
The first term is -4, second term is -1, third term is 4 and 10th term is 95.
What is sequencea group of connected actions, moves, or things that happen in succession and have a specific order.
Given that,
The nth term of sequence = n² - 5 (1)
To find terms, Substitute values of n in equation (1),
Substitute n=1, the first term = 1-5 = -4
Substitute n=2, the second term = 4-5 = -1
Substitute n=3, the third term = 9-5 = 4
For 10th term, substitute n= 10,
10th term = 100-5 = 95
First term =-4, second term = -1, third term = 4 and 10th term = 95.
To learn more about Sequence on :
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A catcher's and a pitcher's uniform numbers are consecutive integers whose product is 306. If the catcher's was the smaller number, determine the uniform number of each player. catcher's number pitcher's number
Answer:
Catcher's number = 17
Pitcher's number = 18
Step-by-step explanation:
Let two consecutive numbers be represented by x and (x + 1)
Hence,their product
= x(x + 1) = 306
= x² + x - 306 = 0
We factorise
= x² + 18x - 17x - 306 = 0
= x(x + 18) - 17(x + 18) = 0
= (x + 18)(x - 17) = 0
x + 18 = 0 = -18
x - 17 = 0 = 17
x = 17 and -18
Our answer can't be a negative integer
Hence x = 17
The second consecutive integer = x + 1
= 17 + 1 = 18
Hence the uniform numbers are 17 and 18.
We are told in question that: If the catcher's was the smaller number, determine the uniform number of each player.
Therefore,
The Catcher's uniform number = 17
The Pitcher's uniform number = 18
I need help awnsering these questions please get to me soon as you can
Answer:
Answer is given below with explanations.
Step-by-step explanation:
[tex]1)volume \: of \: cylinder = \pi \: {r}^{2} h \\ here \: radius \: (r) = 3 \: m \\ and \: height \: (h) = 8 \: m \: \\ volume \: of \: cylinder = \pi \: \times {3}^{2} \times 8 \\ \: \: = \pi \ \times 9 \times 8 \\ \: \: = 72\pi \\ \: \: = 226.195 \: {m}^{3} \\ 2)volume \: of \: pyramid \: = \frac{1}{3} \times base \: area \times height \\ base\: area = 25 \times 16 \\ \: \: = 400 \: {ft}^{2} \\ volume \: of \: pyramid \: = \frac{1}{3} \times400 \times 45 \\ \: \: = 6000 \: cubic \: feet \\ 5) \: volume \: of \: cone = \frac{1}{3 \: } \pi \: {r}^{2} h \\ here \: radius \: (r) = 6.2 \: m \: \\ height \: (h) = 6.8 \: m \\ volume \: of \: cone = \frac{1}{3 \: } \pi \: \times {6.2}^{2} \times 6.8 \\ \: \: = 273.73 \\ 6) \: volume \: of \: hemisphere \: = \frac{2}{3} \pi \: {r}^{3} \\ here \: radius \:( r) = 6 \: in \\ volume \: of \: hemisphere \: = \frac{2}{3} \pi \: {6}^{3} \\ \: \: = 452.39 \: cubic \: inches[/tex]
Questions are not clearly visible for me.
So forgive me.
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
3/25 of the current delivered to an induction motor is wasted as reactive current.
Express this fraction in decimal form.
Answer:
0.12
Step-by-step explanation:
3/25= 12/100
12/100=0.12
Select the statements that are true.
Answer:A And B
Step-by-step explanation:
The true stetement is:
The standard deviation of B is greater than the standard deviation of A.
1. The interquartile range (IQR) is a measure of the spread of the data. Since the new brand with only 74% of kernels popped has the lowest percentage, including it in the data set B would likely increase the range of values and therefore increase the interquartile range.
Therefore, this statement is false.
2. The mean is affected by the values of the data set, and including the package with the least kernels popped in data set B would likely lower the overall mean compared to data set A. Therefore, this statement is false.
3. Adding the package with the least kernels popped to data set B might shift the median to a lower value compared to data set A. Therefore, this statement is false.
4. Including the package with the least kernels popped in data set B would increase the spread of the data because it introduces a lower value compared to the other percentages. Therefore, this statement is false.
5. Including the package with the least kernels popped in data set B would likely increase the variability and spread of the data, leading to a greater standard deviation compared to data set A.
Therefore, this statement is true.
6. Including the package with the least kernels popped in data set B would likely shift the center of the data towards a lower value due to the lower percentage. Therefore, this statement is false.
Learn more about IQR here:
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Which model represents a percent error of 25%? A model with 12 squares labeled exact value and 3 squares labeled error. A model with 10 squares labeled exact value and 5 squares labeled error. A model with 9 squares labeled exact value and 3 squares labeled error. A model with 8 squares labeled exact value and 4 squares labeled error.
Answer:
A model with 12 squares labeled exact value and 3 squares labeled error.
Step-by-step explanation:
The proportion of error is the number of errors divided by the number of trials. The percentage is the proportion multiplied by 100.
A model with 12 squares labeled exact value and 3 squares labeled error.
3/12 = 0.25
0.25*100 = 25%
This is the answer.
A model with 10 squares labeled exact value and 5 squares labeled error.
5/10 = 0.5
0.5*100 = 50%
A model with 9 squares labeled exact value and 3 squares labeled error.
3/9 = 0.3333
0.3333*100 = 33.33%
A model with 8 squares labeled exact value and 4 squares labeled error.
4/8 = 0.5
0.5*100 = 50%
Answer:
A
Step-by-step explanation:
edg 2020
Multiply. -5•-1/7•4/8. Write your answer in simplest form.
Answer:
5/14
Step-by-step explanation:
Multiply.
(-5 × -1 × 4) / (7 × 8)
20/56
Simplify.
5/14
Answer:
The answer is [tex]\frac{5}{14}[/tex].
Step-by-step explanation:
1. -5 × [tex]\frac{-1}{7}[/tex] = [tex]\frac{5}{7}[/tex]
2. [tex]\frac{5}{7}[/tex] · [tex]\frac{4}{8}[/tex] = [tex]\frac{20}{56}[/tex]
3. Simplify:
[tex]\frac{20}{56}[/tex] = [tex]\frac{5}{14}[/tex]
If K parallel to L find the value of a and the value of b.
Answer:
[tex]a = 30[/tex]
[tex]b = 40[/tex]
Step-by-step explanation:
Given
The attached triangle
Such that K is parallel to L
Required
Find the value of a and b
From the properties of parallel triangles;
Provided that k is parallel to l, then
[tex]\frac{a}{40} = \frac{a+15}{60}[/tex]
Multiply both sides by (60)(40)
[tex](60)*(40)*\frac{a}{40} = (60)*(40)*\frac{a+15}{60}[/tex]
[tex]60a = 40(a+15)[/tex]
Open Bracket
[tex]60a = 40*a+40*15[/tex]
[tex]60a = 40a+600[/tex]
Subtract 40a from both sides
[tex]60a - 40a = 40a - 40a + 600[/tex]
[tex]20a = 600[/tex]
Divide both sides by 20
[tex]\frac{20a}{20} = \frac{600}{20}[/tex]
[tex]a = \frac{600}{20}[/tex]
[tex]a = 30[/tex]
Similarly;
[tex]\frac{b}{40} = \frac{b+20}{60}[/tex]
Multiply both sides by (60)(40)
[tex](60)*(40)*\frac{b}{40} = (60)*(40)*\frac{b+20}{60}[/tex]
[tex]60b = 40(b+20)[/tex]
Open Bracket
[tex]60b = 40*b+40*20[/tex]
[tex]60b = 40b+800[/tex]
Subtract 40b from both sides
[tex]60b - 40b= 40b - 40b + 800[/tex]
[tex]20b= 800[/tex]
Divide both sides by 20
[tex]\frac{20b}{20} = \frac{800}{20}[/tex]
[tex]b = \frac{800}{20}[/tex]
[tex]b = 40[/tex]
In the graph above what’s the distance between (5,3) and (5,-2)
Answer:
5
Step-by-step explanation:
The distance is 5 because when you count out the units on the graph, it is 5 apart.
To double check, you could also use distance formula, which would give you √25, which is also 5
Answer:
5 unitsSolution,
Let the points be A and B
A(5,3)----->(X1,y1)
B(5,-2)------>(x2,y2)
Now,
[tex]ab = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ \: \: \: \: \: = \sqrt{ {(5 - 5)}^{2} + {( - 2 - 3)}^{2} } \\ \: \: \: = \sqrt{ {(0)}^{2} + {( - 5)}^{2} } \\ \: \: \: = \sqrt{0 + 25} \\ \: \: \: = \sqrt{25} \\ \: \: \: = \sqrt{ {(5)}^{2} } \\ \: \: \: = 5 \: units[/tex]
hope this helps .....
Good luck on your assignment...
Describe how to transform the graph of f into the graph of g. f(x) = x2 and g(x) = -(-x)2 The graph shifts left one unit. Reflect the graph of f across the y-axis and then reflect across the x-axis. Reflect the graph of f across the y-axis. Reflect the graph of f across the x-axis.
Answer:
Reflect the graph of f across the y-axis and then reflect across the x-axis.
Step-by-step explanation:
Reflection rules:
Reflection over x -axis:(x,y)→(x,-y)
Reflection over y-axis : (x,y)→(-x,y)
Graph:[tex]y= f(x)=x^2[/tex]
We are given that the graph of f into the graph of g.
[tex]f(x) = x^2[/tex] and [tex]g(x) = -(-x)^2[/tex]
Reflect over y axis.
Reflected graph [tex]=(-x)^2[/tex]
Reflect the obtained graph over x axis
[tex]g(x)=-(-x)^2[/tex]
So, Option B is true
Hence Reflect the graph of f across the y-axis and then reflect across the x-axis.
Answer:
i reflected it over the x and y axis tho
Step-by-step explanation:
bro trust me
Aliyah wants to estimate the value of the quotient of 5.68 times 10^-3 and 8.54 times 10^-9. Which statement about the value is true?
a. The value will be greater than 1 because (negative 3) divided by (negative 9) is a positive number. A number in scientific notation with a positive exponent has a value greater than 1.
b. The value will be greater than 1 because (negative 3) minus (negative 9) = 6. A number in scientific notation with a positive exponent is greater than 1.
c. The value will be less than 1 because 5.68 divided by 8.54 is less than 1. The negative exponents will make it even smaller.
d. The number will be less than 1 because 5.68 times 10 Superscript negative 3 is a very small number and division always makes the size of a number smaller.
Answer:
6.65105386*10^5
A
Step-by-step explanation:
(5.68*10^-3)/(8.54 *10^-9
when divide negative over negative it gives positive
10^-3 / 10^-9=10^6
5.68/8.54=0.665
0.665*10^6=6.65*10^5
6.65105386*10^5
Answer:
A.
Step-by-step explanation:
you can buy a 47 pound bag of flour for $11 or you can buy a 1 pound bag of flour for $0.45. Compare the per pound cost for the large and small bags.
Answer:
Step-by-step explanation:
$11/ 47 pound = $0.234 for 1 pound
the cost of buying 47 pound for 11 dollars is cheaper than to buy individual 1 pound bag for 0.45.
Answer:
First, let's find the unit price.
$11 ÷ 47 = $0.23 per pound.
$0.45 ÷ 1 = $0.45 per pound.
As you can see here, the 1 pound bag(smaller bag) clearly costs more per pound. The 47 pound bag(larger bag) costs less.
We can also put the values on a number line to compare.
$0.23 $0.45
(larger bag) (smaller bag)
<-|---------o---------------------o---------|------------------------------------------|->
$0 $0.50 $1
As you can see, the larger bag is closer to zero.
Hence, the larger bag is the better buy.Hope this helped!
-Emma
HURRY!!!! Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth. 270 degrees a. (1, 0) c. (0, -1) b. (0, 1) d. (-1, 0)
Answer:
The answer is c. (0,-1)
Step-by-step explanation:
So the unit circle is derived from a right triangle.
If f(x) = x ^ 2 is vertically compressed by a factor of 9 to g(x) , what is the equation of g(x) ?
Answer:
[tex]g(x) = \frac{1}{9} \,x^2[/tex] which agrees with option A in the list of possible answers
Step-by-step explanation:
A vertical compression by a factor 9 is represented by the transformation:
[tex]\frac{1}{9} \,f(x) = \frac{1}{9} \,x^2[/tex]
Therefore the answer to the problem is:
[tex]g(x) = \frac{1}{9} \,x^2[/tex]
Need some help I have the first bit
Answer:
y = [tex]\frac{3}{5}[/tex]x + 3
Step-by-step explanation:
First, find the slope with rise/run
This gets you 3/5
Then, find the y intercept, which is (0, 3)
The equation will be
y = [tex]\frac{3}{5}[/tex]x + 3
Answer:
Brainleist!!!
Step-by-step explanation:
see picture!
Brainliest for whoever gets this right!
Please help ASAP!
Find the inequalities which describe the regions that’s shaded
Answer:
The lines that make up this region are y = 5 (light blue line), x = 2 (green line) and y = x (purple line). The graph tells us that the answer is y ≤ 5, y ≥ x and x ≤ 2.
Answer:
Green: x is less than or equal to 2
Purple: y is greater than or equal to x
The horizontal line near the top is y=6, so the blue shaded area below is y is less than or equal to 6
Step-by-step explanation: Solid lines mean equal to or < >
Sorry my keyboard doesn't have the real symbol for those.
Since the y-intercept for the purple area is 0, there is no constant to enter in the slope-intercept form: y=mx+b And since the slope is 1, there is no coefficient with x.
Find the ratio that is equivalent to 3:8. A. 8:11 B. 5:8 C. 6:16 D. 8:10
Answer:
c-6:16
Step-by-step explanation:
[tex]\frac{3}{8}[/tex]=[tex]\frac{6}{16}[/tex]
all you need to do is multiply by 2 but they are proportional/equivalent
Answer:
i would say it C 6 16
Step-by-step explanation:
because i said so
PLZ HELP 50 POINTS AND BRAINLIEST!!!!!!!! Karen has a large pile of colored rods. Each color is a different length. She is trying to connect different colored rods to make triangles as part of a hanging sculpture. Here is a list of rod lengths.
Red: 3 inches
Orange: 4 inches
Yellow: 5 inches
Green: 7 inches
Blue: 9 inches
Purple: 12 inches
1. How many triangles can she make with them if each side is a different color? List the combinations that work.
2. Karen was just trying different combinations of colored rods one at a time, placing the colored rods together to see if they make a triangle. What method did you use to determine the triangle options? Which method do you think is better and why?
Answer:
9 possible combinations: RGB, RYG, RGB, OYG, OGB, OBP, YGB, YBP, GBP
Step-by-step explanation:
We need to consider The Triangle Inequality Theorem which states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.Let's see what are the possible combinations:
3+4= 7 so possible 3rd side is 5
3, 4, 5 or ROY3+5= 8 so possible 3 rd side is 7
3, 5, 7 or RYG3+7= 10 so possible 3rd side is 5 or 9 (5 is repeat of the one above)
3, 7, 9 or RGB3+9= 12 so possible 3rd side is 7, see one above
3+12= 15 so possible 3 rd side is none
4+5=9 so possible 3rd side is 7
4, 5, 7 or OYG4+7= 11 so possible 3rd side is 9
4, 7, 9 or OGB4+9= 13 so possible 3rd side is 12
4, 9, 12 or OBP5+7= 12 so possible 3rd side is 9
5, 7, 9 or YGB5+9= 14 so possible 3rd side is 12
5, 9, 12 or YBP7+9= 16 so possible 3rd side is 12
7, 9, 12 or GBPSo the possible 9 combinations are:
RGB, RYG, RGB, OYG, OGB, OBP, YGB, YBP, GBPFind the outlier in the set of data.(
17, 13, 16, 18, 38, 14, 21, 24
A. 38
B. 14
C 16
D 17
Answer:
38
Step-by-step explanation:
An outlier is a data point on a graph or in a set of results that is much bigger or smaller than the next nearest data point. The numbers given are within 1-3 points away from the previous number, except for 38, which is 14 points away from 24. Organize the numbers in order from least to greatest to see this better.
13, 14, 16, 17, 18, 21, 24, 38
the value of x is __?
A. 4/11
B. 7/11
C. 11/7
D. 11/4
help plsss
Answer:
Option B. 7/11
Step-by-step explanation:
The following data were obtained from the question:
Sin x = 7/11
Cos(90 – x) =..?
The value of Cos(90 – x) can simply be obtained as follow:
Recall:
Sin x = Cos(90 – x)
Sin x = 7/11
7/11 = Cos(90 – x)
Therefore, the value of Cos(90 – x) is simply 7/11.
Find the y value for the point that divides the line segment CD into a ratio of 4:1.
Segment CD is shown. C is at 9, 6 and D is at 5, 1.
2
6.2
3
2.8
Answer:
Y = 2
Step-by-step explanation:
For point (x1,y1) and (x2,y2) on coordinate plane if is divided in ratio of m:n.
Then point of division is given by
(n*x1+m*x2)/ m+n, (n*y1+m*y2)/ m+n
________________________________
Given point
c = (9,6)
d = (5,1)
ratio = 4:1
using the above formula , point of division is
x= (1*9+4*5)/ 4+1 y= (1*6+4*1)/ 4+1
x= (9+20)/ 5 y= (6+4)/ 5
x= 29/ 5 y= 10/ 5 =2
Thus, answer is y = 2
Answer:
2 is correct
Step-by-step explanation: I got it right on test
a coin lands on heads 200 times. the relative frequency of heads is 0.4 ? how many times was the coin thrown???????≈⊃ to whoever answer this question i know that u guys will see the points i have given and say this is sooooo crazzzzy. i will give points to u guys because it is my birthday guys. pleases write me nice comments. i love u all have a nice day everyone.
Answer:
The answer is 500 times
Step-by-step explanation:
hope this helps you
in 1997 the population of a small town was 900. If the annual rate of increase is about 0.6% which value below expresses the population five years later?
Answer:
[tex]927[/tex]
Step-by-step explanation:
[tex]900 \times (1+0.6\%)^5[/tex]
[tex]900 \times (1+0.6/100)^5[/tex]
[tex]900 \times (1+0.006)^5[/tex]
[tex]900 \times (1.006)^5[/tex]
[tex]900\times \:1.03036[/tex]
[tex]927.32594[/tex]
Answer:
927
Step-by-step explanation:
Total Population = 900
Annual rate of increase = 0.6 % of 900
=> [tex]\frac{0.6}{100}* 900[/tex]
=> 0.6 * 9
=> 5.4
Rate of increase in 5 years = 5 * 5.4
= 27
Population after five years = 900+27
=> 927
You do not need to line up the decimal points when subtracting two decimal numbers. TrueFalse
Answer:
false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
Or else it will give you an incorrect calculation
Determine the amount of money you need to invest to have $26,000 dollars in 3 years if you invest it at 2.5% annual interest,
compounded monthly.
Answer:
$24123.20
Step-by-step explanation:
Remember your compounded interest rate formula: A = P(1 + r/n)^nt
Step 1: Write in known variables
26000 = P(1 + 0.025/12)^36
Step 2: Solve for P
26000 = P(1.0778)
P = 26000/1.0778
P = 24123.2
And we have our final answer!