Answer:
x = 4
Step-by-step explanation:
6/x + 1/2 = 2
x(6/x + 1/2) = 2*x
x*6/x + x*1/2 = 2x
6 + x/2 = 2x
6 = 2x - x/2
6 = 4x/2 - x/2
6 = 3x/2
6*2/3 = x
12/3 = x
x = 4
probe:
6/4 + 1/2 = 2
3/2 + 1/2 = 4/2
24 points! need asap
Answer:
a. DC
b. B
c. ED
Ray CD is the same as ray DC.
A ray with the endpoint A would be ray BA. The starting point would be point B and ending point would be A.
The opposite ray to ray EC is ray ED. The two rays are opposite to each other.
a bee has mass of 0.02 kg
Your question is not complete
What is the value of x in a & b?
Answer:
a. x = 9
b. x = 3.6
Step-by-step explanation:
a. By Basic proportionality theorem:
AB/BD = AC/CE
4/4 = x/9
1 = x/9
9 = x
x = 9
b.
[tex] In \: \triangle ABC \: \& \: \triangle EDF\\
\angle B \cong \angle D....(given) \\
\angle C \cong \angle F.....(given) \\
\therefore \triangle ABC \: \sim \: \triangle EDF.. (AA\: POSTULATE) \\
\therefore \frac{AB}{ED} = \frac{BC}{DF} ...(csst) \\
\therefore \frac{2}{5} = \frac{x}{9}\\
\therefore x = \frac{2\times 9}{5} \\
\therefore x = \frac{18}{5} \\
\huge \red{\boxed {\therefore x = 3.6}} \\[/tex]
What does it mean to multiply a number by -1?
Answer:
Multiplying a number by -1 means the sign on the number is made opposite. If the number was positive, it becomes negative. If the number was negative, it becomes positive.
edmentum answer!!
In a group of 58 learners at Nakambuda C.S, 34 learners have chosen the field of Agriculture. What fraction of learners will be doing Agriculture?
learners of Agriculture: 34/58
semplify it
divide by 2
34 > 17
58 > 29
they are prime numbers, so can't be semplify anymore
17/29 will do Agriculture
in percentage we have a proportion:
17 : 29 = x : 100
x = (17 * 100) / 29 = 1700 / 29 ≅ 48,62
Nine times the sum of a number and 8 is equal to 7.
Answer:
Verbal expression =9(x+8) =7
Step-by-step explanation:
Let the unknown number be x
[tex]9(x+8) =7\\[/tex]
Further solution ;
[tex]9\left(x+8\right)=7\\\\\mathrm{Divide\:both\:sides\:by\:}9\\\frac{9\left(x+8\right)}{9}=\frac{7}{9}\\\\Simplify\\x+8=\frac{7}{9}\\\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\x+8-8=\frac{7}{9}-8\\\\Simplify\\x=-\frac{65}{9}[/tex]
which value of x makes this equation true -5(x - 20) = 35
Answer:
x=13
Step-by-step explanation:
Divide both sides by -5 then solve the equation for x
Find the midpoint on segment AB; A (0, 6), B (4, 2)
Answer:
2,4
Explanation:
Because a midpoint is the middle of the line
Answer:
[tex]mAB=(2,4)[/tex]
Step-by-step explanation:
Step 1: Use the midpoint formula to solve
[tex]mAB=(\frac{x1 +x2}{2},\frac{y1+y2}{2} )[/tex]
[tex]mAB=(\frac{0+4}{2},\frac{6+2}{2} )[/tex]
[tex]mAB=(\frac{4}{2},\frac{8}{2} )[/tex]
[tex]mAB=(2,4)[/tex]
Therefore the midpoint on the line segment AB is (2,4)
What is h(x) = –3x2 – 6x + 5 written in vertex form?
Answer:
y= 3(x-1)^2+2
Step-by-step explanation:
The vertex form for h(x)= -3x^2-6x+5 is y= 3(x-1)^2+2.
HOPE THIS HELPED!
HAVE A GREAT DAY!
The equation of the parabola h(x) = –3x² – 6x + 5 in the vertex form can be written as y = -3(x-1)²+8.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
The vertex form of a quadratic equation is given as y = a(x-h)² + k, where h and k are the x and y coordinates of the vertex of the parabola.
Given the equation of the parabola, h(x) = –3x² – 6x + 5. Comparing the given equation with the general quadratic equation, the value of the variables a, b, and c can be written as shown.
ax² + bx + c
–3x² – 6x + 5
Therefore, the value of a, b, and c is -3, -6, and 5.
Now, substitute the values in the equation of the vertex of a parabola, now, the value of the h and k coordinates can be written as,
h = -b/(2a) = -(-6)/(2 × -3) = -1
k = c - b²/(4a) = 5 - [(-6)²/ (4× -3)] = 8
Hence, the equation of the parabola h(x) = –3x² – 6x + 5 in the vertex form can be written as y = -3(x-1)²+8.
Learn more about Quadratic Equations:
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3 points] Write the equation of the line passing through (-1, 4) and (2,-2) in lope – intercept form.
Answer:
y = - 2x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (2, - 2)
m = [tex]\frac{-2-4}{2+1}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2 , thus
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, - 2 ), then
- 2 = - 4 + c ⇒ c = - 2 + 4 = 2
y = - 2x + 2 ← equation of line
Prove the following using a proof by contradiction:The average of four real numbers is greater than or equal to at least one of the numbers.
The average of four real numbers is greater than or equal to at least one of the numbers.
Answer:
By contradiction it can be proved that:
Average of four real numbers will be greater than or equal to at least one of the four real numbers.
Step-by-step explanation:
Method of contradiction means we assume opposite to the facts to be proved and then we contradict our assumption.
As a result, we prove the fact.
Here, let the four number be:
[tex]p, q, r, s[/tex]
The average will be Sum of all numbers divided by count of numbers.
[tex]\dfrac{p+ q+ r+ s}4[/tex]
Now, let us assume the opposite that the average is less than all the numbers.
i.e.
[tex]\dfrac{p+ q+ r+ s}4 <p[/tex]
[tex]\dfrac{p+ q+ r+ s}4 <q\\\dfrac{p+ q+ r+ s}4 <r\\\dfrac{p+ q+ r+ s}4 <s[/tex]
Now, let us add all of them:
[tex]\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4 < p+q+r+s\\\Rightarrow \dfrac{4(p+q+r+s)}4<p+q+r+s\\\Rightarrow p+q+r+s<p+q+r+s[/tex]
Which can never be possible hence, our assumption is contradicted.
our assumption is wrong.
Therefore, by contradiction it is proved that:
Average of four real numbers will be greater than or equal to at least one of the four real numbers.
An average of four real numbers will be greater than or equal to at least one of the four real numbers.
What is average?
An average is simply defined as the mean of the given set of numbers. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.
Prove the following using proof by contradiction.
The average of four real numbers is greater than or equal to at least one of the numbers.
Method of a contradiction means we assume opposite to the fact to be proved and then we contradict our assumption.
Let the four numbers be a, b, c, and d.
The average will be
[tex]\rm \dfrac{a+b+c+d}{4}[/tex]
Now let us assume the opposite that the average is less than all the numbers.
[tex]\rm \dfrac{a+b+c+d}{4} < a\\\\\rm \dfrac{a+b+c+d}{4} < b\\\\\rm \dfrac{a+b+c+d}{4} < c\\\\\rm \dfrac{a+b+c+d}{4} < d[/tex]
Let us add all of them.
[tex]\rm \rightarrow \dfrac{a+b+c+d}{4} +\dfrac{a+b+c+d}{4} +\dfrac{a+b+c+d}{4}+\dfrac{a+b+c+d}{4} < a+b+c+d\\\\\rightarrow \dfrac{4(a+b+c+d)}{4} < a+b+c+d\\\\\rightarrow a+b+c+d < a+b+c+d[/tex]
That can never be possible hence, our assumption is contradicted.
Our assumption is wrong.
Therefore, by contradiction, it is proved that;
An average of four real numbers will be greater than or equal to at least one of the four real numbers.
More about the average link is given below.
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Estimate then find the quotient 2,800÷25
Answer:
112
Step-by-step explanation:
Consider the statement,
Irrational numbers are closed under subtraction
Is the statement true or false? If false, justify with a counterexample
false; The numbers 2 and 7 are irrational, but V2 - cannot be simplified to an irrational number.
true
false; The number 2 is irrational, but 2 - 2 = 0 and is not irrational
false; The numbers 10 and 6 are irrational, but
/10
V6 14 2 and 2 is not irrational
Janae has 280 dimes in her piggy bank she has 10 times as many pennies how many pennies does Janae have
Answer:
She has 28 pennies
Step-by-step explanation:
Janae has 280 dimes in her piggy bank she has 10 times as many pennies .
If she has 280 dimes in piggy bank
And has 10 times as many pennies
Let dimes= x
Let pennies= y
X= 10y
But x= 280
280= 10y
280/10 = y
28 = y
She has 28 pennies
stem (hundred thousands) Leaf (ten thousands)
0 667778999
1 02447778889999
2 0011234445667889
3 00011227
The stem-and-leaf plot above shows house sale prices over the last week in Tacoma. What was the most expensive house sold? Give your answer in dollars
The largest stem is 3, found in the bottom row. This represents 300 thousand or 300,000.
The largest leaf in the bottom row is 7 and that represents
7*(10 thousand) = 70 thousand = 70,000
Adding the stem and leaf values gets us
300,000 + 70,000 = 370,000
The most expensive home sold was $370,000How do I Simplify i^54
Answer:
[tex]i^{54}=-1[/tex]
Step-by-step explanation:
First, recall the 4 basic imaginary exponents:
[tex]i^1=i \text{, }i^2=-1\text{, }i^3=-1\text{ and } i^4=1[/tex]
So, we want to find:
[tex]i^{54}[/tex]
This is the same as:
[tex]=i^{52}\cdot i^2[/tex]
52 is 4 times 13. Thus:
[tex]=(i^4)^{13}\cdot i^2[/tex]
Since we know that i to the fourth is 1:
[tex]=(1)^{13}\cdot i^2[/tex]
Simplify:
[tex]=i^2[/tex]
And this equals:
[tex]=-1[/tex]
So:
[tex]i^{54}=-1[/tex]
Use the multiplication rule to find the probability that the first four guesses are wrong and the fifth is correct. That is, find
Complete question is;
Multiple-choice questions each have 5 possible answers, one of which is correct. Assume that you guess the answers to 5 such questions.
Use the multiplication rule to find the probability that the first four guesses are wrong and the fifth is correct. That is, find P(WWWWC), where C denotes a correct answer and W denotes a wrong answer.
P(WWWWC) =
Answer:
P(WWWWC) = 0.0819
Step-by-step explanation:
We are told that each question has 5 possible answers and only 1 is correct. Thus, the probability of getting the right answer in any question is =
(number of correct choices)/(total number of choices) = 1/5
Meanwhile,since only 1 of the possible answers is correct, then there will be 4 incorrect answers. Thus, the probability of choosing the wrong answer would be;
(number of incorrect choices)/(total number of choices) = 4/5
Now, we want to find the probability of getting the 1st 4 guesses wrong and the 5th one correct. To do this we will simply multiply the probabilities of each individual event by each other.
Thus;
P(WWWWC) = (4/5) × (4/5) × (4/5) × (4/5) × (1/5) = 256/3125 ≈ 0.0819
P(WWWWC) = 0.0819
You intend to conduct an ANOVA with 7 groups in which each group will have the same number of subjects: n=6n=6. (This is referred to as a "balanced" single-factor ANOVA.)
1. What are the degrees of freedom for the numerator?
d.f.(treatment) =
2. What are the degrees of freedom for the denominator?
d.f.(error) =
Answer:
d.f.(treatment) = 6
d.f.(error) = 35
Step-by-step explanation:
In the question we have
k = 7
r= 6
n= rk= 42
1. The degrees of freedom for the numerator is calculated as under
d.f.(treatment) = k-1= 7-1= 6
Where k gives the number of columns
2. The degrees of freedom for the denominator is calculated as under
d.f.(error) = k (r-1)= n-k= 42-7=35
where k gives the number of columns and r gives the number of rows.
This is for one way ANOVA as asked above.
lute
data.
Andrea's math test scores
were 76, 88, 82, 94, and 88.
Find the mean.
Answer:
85.6
Step-by-step explanation:
you just add the numbers which is 428 and divide that by 5 which is 85.6
Answer:
85.6
Step-by-step explanation:
To find the mean, add up all the scores then divide by the number of tests
(76+ 88+ 82+ 94+88)/5
428/5
85.6
I need help with this
Answer:
rational
Step-by-step explanation:
ans
a) Rational
Hope this helps you...
Which property would be used first to make the following problem easier to work? 2/3 x (3/2 x 5) associative property of multiplication multiplicative property o commutative property of multiplication distributive property
Answer:
5
can be done by multiplication multiplicative property
Step-by-step explanation:
2/3 * (3/2 * 5)
1st = 2/3 * 3/2 * 5
2nd = 2 * 3 * 5
3 * 2
3rd = 3 * 5
3
therefore
the answer = 5
Answer:
[tex]\Large \boxed{\mathrm{associative \ property \ of \ multiplication}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
The associative property of multiplication can be use to make the problem easier to solve.
In associative property of multiplication, when we multiply a bunch of numbers, we can group the numbers in any combination.
[tex]a \times (b \times c) = (a \times b) \times c[/tex]
[tex]\rule[225]{225}{2}[/tex]
Find the equation of a line containing the point (8.3) and has a slope of 5. Write
the equation in slope-intercept form
Answer:
[tex]y=5x-37[/tex]
Step-by-step explanation:
So we want to find the equation of a line with a slope of 5 and passes through (8,3).
To do so, we can use the point-slope form. This point-slope form is:
[tex]y-y_1=m(x-x_1)[/tex]
Let's let (8,3) be x₁ and y₁ and let's let m equal 5. Therefore:
[tex]y-3=5(x-8)[/tex]
Distribute the right:
[tex]y-3=5x-40[/tex]
Add 3 to both sides:
[tex]y=5x-37[/tex]
That would be our equation in slope-intercept form.
And we're done!
determine whether the given vectors are orthogonal parallel or neither. (a) u=<-9,9,3>, v=<12,-12,-4>
Answer:
parallel
Step-by-step explanation:
u = <-9,9,3>
v = <12,-12,-4>
test if the given vectors are orthogonal ( dot product = 0 )
we have to find the dot product of the vectors to determine is it will be = 0
u*v = (-9)*(12) + (9)*(-12) + (3)*(-4) = -108 -108 -12= -228 ≠ 0
hence the given vectors is not orthogonal
next check if the vectors are linearly dependent
(-9/12 ) = - 3/4
(9/-12) = - 3/4
( 3/-4 ) = - 3/4
since they are linearly dependent then they are parallel
What are the roots of the equation? 0=x4−x3+4x2−6x−12 Select all correct answers. −6 −2 −1 1 2 6 i√6 −i√6 √6 −√6
Answer:
3rd Option: -1
5th Option: 2
7th Option: i√6
8th Option: -i√6
Step-by-step explanation:
Graph the function first to find our real root factors.
When you find your real root factors, factor the equation down with x + 1 and x - 2 and then use Quadratic Formula to find complex roots.
Answer:
-2, 1. i[tex]\sqrt{6}[/tex], and -i[tex]\sqrt{6}[/tex]
Step-by-step explanation:
just took the test
Which of the following must describe a irrational number? A. a number with a repeating or terminating decimal expansion B. a number with a nonterminating decimal expansion C. a decimal with a nonrepeating decimal expansion D. a number with a nonrepeating and nonterminating decimal expansion
Answer:
D.
Step-by-step explanation:
A irrational number can be defined as those numbers which are real but can NOT be expressed in simple fractions. The term 'irrational' means 'a number which can not be expressed in ratio of two integers', 'no ratio.'
When a irrational number is expressed in decimal, the numbers keep on expanding without repeating andd without terminating, which means it keeps on expanding infinitely.
For example, π (pi) is an irrational number. When it is expressed in decimals it keeps on expanding non-repeatedly and unendingly.
Another example of an irrational number is √2.
Thus the correct statement that defines irrational number is option D.
Answer:
D. a number with a nonrepeating and nonterminating decimal expansion
Step-by-step explanation:
A car was purchased new in 2019 for $32,650. In 2020 the car is $23,834.50. Find the rate of depreciation for that one year?
Answer:
Rate of depreciation = 27%
Step-by-step explanation:
Given:
Purchase price = $32,650
Rate in 2020 = $23,834.50
Find:
Rate of depreciation
Computation:
Depreciation = Purchase price - Rate in 2020
Depreciation = $32,650 - 23,834.50
Depreciation = $8,815.5
Rate of depreciation = [8,815.5 / 32650] 100
Rate of depreciation = 27%
Insert <, >, or = in the appropriate space to make a true statement.
1-3 _-4
1-311
-4
Answer:
>
Step-by-step explanation:
1 - 3 ?? -4
-2 ?? -4
The appropriate symbol for this ?? relation is >.
1 -3 > -4
Our hearts beat approximately 70 times per minute. Express in scientific notation how many times the heart beats over a lifetime of 73 years (ignore leap years). Round the decimal factor in your scientific notation answer to two decimal places.
Answer:
2.69 x [tex]10^{9}[/tex]
Step-by-step explanation:
We are given the heart's speed - 70 bpm
We count the number of minutes in 73 years :
1 year = 365 days1 day = 24 hours1 hour = 60 minutes73 x 365 x 24 x 60 = 38,368,800 minutesWe multiply the heart's bpm with 73 years worth of minutes
38,368,800 x 70 = 2,685,816,000
Write the number in scientific notation = 2.68581 x [tex]10^{9}[/tex] ≈ 2.69 x [tex]10^{9}[/tex]
The number of times a heart will beat in 73 years is required.
The heart will beat [tex]1.6\times 10^{11}\ \text{times}[/tex] in a lifetime.
AlgebraThe number of times heart beats per minute is 70.
Number of years in a lifetime is 73 years
Ignoring leap year a year has 365 days.
So minutes in a leap year is
[tex]365\times 24\times 60\times 60[/tex]
Minutes in a lifetime of 73 years
[tex]73\times 365\times 24\times 60\times 60[/tex]
The product of beats per minute and the minutes in a lifetime will given the required heart beats
[tex]70\times 73\times 365\times 24\times 60\times 60=1.6\times 10^{11}\ \text{beats}[/tex]
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Sue deposited $1,500 into two different accounts.
- She deposited $600 into an account that pays 7.5% simple interest.
- She deposited $900 into an account that pays 6% compounded annually.
If Sue does not deposit additional money into the accounts and she doesn't withdraw any money from the accounts, which is closest to the total balance she will have in the two accounts at the end of 5 years
$915 I’m pretty sure
Which statements are true based on the diagram
Answer:
Can you show the diagram please?