±√5
Step-by-step explanation:x² = 5
x = ±√5
The solution to the equation [tex]x^2=5[/tex] is [tex]x = \pm \sqrt{5}[/tex].
How to evaluate and solve the given equation?In order to evaluate and solve this equation, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the equation to the right.
Lastly, the mathematical operations of addition or subtraction would be performed from left to right.
Based on the information provided, we have the following mathematical equation:
[tex]x^2=5[/tex]
By taking the square root of both sides of the equation, we have:
[tex]x = \pm \sqrt{5}[/tex].
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Jennifer is currently standing at 25 feet above sea level. Jim is swimming at 9 feet below sea level. How far apart are Jim and Jennifer? A. -34 b. -16 c. 16 d. 34
Answer:
D. 34 ft
Step-by-step explanation:
25+9=34
Jim is 34ft below Jenifer
Four out of 12 goldfish in an aquarium ate their food. What ratio represents the
goldfish that ate their food to those that did not?
Answer:
4-8
Step-by-step explanation:
Answer:
1:3
Step-by-step explanation:
I changed 4/12 to a fraction then simplified it
4/12=1/3
one gold fish ate their food for every 3 they fed
Match the following items by evaluating the expression for x = -6. x^-2 x^-1 x^0 x^1 x^2
Answer:
see below
Step-by-step explanation:
x = -6 ⇒
x^-2 = (-6)^-2 = 1/36x^-1 = (-6)^-1 = -1/6x^0 = (-6)^0 = 1x^1 = (-6)^1 = -6x^2 = (-6)^2 = 36Answer:
x = - 6
Step-by-step explanation:
x = -6x⁻² x⁻¹ x⁰ x¹ x²
x² = 0, x = 0
x¹ = 0, x = 0
the following points are undefined
x = 0
combine undefined points with solutions:
x = - 6
Use the number line below, where , RS=6y+2, ST=15y+9 and RT=5y-13. Find
the value of RS, ST, and RT *
Answer:
RS = - 7
ST = - 13.5 = - 13½
RT = - 20.5 = - 20½
Step-by-step explanation:
From the question given above, the following were obtained:
RS = 6y + 2
ST = 15y + 9
RT = 5y - 13
To obtain RS, ST and RT, we must first obtain the value of y. This can be obtained as follow:
From diagram above, it is evident that:
RT = RS + ST
RS = 6y + 2
ST = 15y + 9
RT = 5y - 13
5y - 13 = 6y + 2 + 15y + 9
5y - 13 = 6y + 15y + 2 + 9
5y - 13 = 21y + 11
Collect like terms
5y - 12y = 11 + 13
- 16y = 24
Divide both side by - 16
y = 24/ - 16
y = - 1.5
Finally, we shall determine RS, ST and RT as follow:
RS = 6y + 2
y = - 1.5
RS = 6(-1.5) + 2
RS = - 9 + 2
RS = - 7
ST = 15y + 9
y = - 1.5
ST = 15(-1.5) + 9
ST = - 22.5 + 9
ST = - 13.5 = - 13½
RT = 5y - 13
y = - 1.5
RT = 5(-1.5) - 13
RT = - 7.5 - 13
RT = - 20.5 = - 20½
The following statements are about finding a midpoint of a segment in the complex plane. Which statement is false?
The midpoint is the average of the endpoints.
First add the endpoints and then multiply by 1/2.
First subtract the endpoints and then divide by 2.
The midpoint of complex conjugates will lie on the x-axis.
Answer:
C.
Step-by-step explanation:
First subtract the endpoints and then divide by 2.
The incorrect statement about the midpoint of a segment in the complex plane is: First subtract the endpoints and then divide by 2.
What is complex number?"It is a number of the type a + ib, where a, b are real numbers and [tex]i=\sqrt{-1}[/tex]"
What is midpoint formula in the complex plane?"The midpoint of two complex numbers a + bi and s + ti is [tex]M=\frac{a+s}{2}+i(\frac{b+t}{2} )[/tex]"
What is complex plane?"It is formed by the complex numbers, with real axis (x-axis in coordinate plane) and imaginary axis(y-axis in coordinate plane)"
For given question,
We know that the midpoint of a segment in the complex plane passing through two complex numbers a + bi and s + ti is given by [tex]M=\frac{a+s}{2}+i(\frac{b+t}{2} )[/tex].
This means, the midpoint is the average of the endpoints.
or to find the midpoint first add the endpoints and then multiply by [tex]\frac{1}{2}[/tex]
We know that the complex conjugate of a complex number x + iy is x - iy.
if we find the midpoint of a segment passing through these points, then it would be,
[tex]M=\frac{x+x}{2} + i (\frac{y-y}{2})\\\\M=x+0i\\M=x+0\\M=x[/tex]
This means the midpoint would lie on the X-axis.
Therefore, the incorrect statement about the midpoint of a segment in the complex plane is: First subtract the endpoints and then divide by 2.
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5.2-6x+2-3-2
Simplify fully
Answer:
-6x+4
Step-by-step explanation:
Answer:
-6x + 2.2
Step-by-step explanation:
Collect like terms: −6x+(5.2+2−3−2)
then simplfiy to get the ansanswer
The average hourly wage of computer programmers with 2 years of experience has been $21.80.Because of high demand for computer programmers,it is believed there has been a significant increase in the average wage of computer programmers.To test whether or not there has been an increase,the correct hypotheses to be tested area. H0: μ < 21.80 Ha: μ >= 21.80b. H0: μ = 21.80 Ha: μ ≠ 21.80c. H0: μ > 21.80 Ha: μ =< 21.80d. H0: μ <= 21.80 Ha: μ > 21.80
Answer:
d. H0: μ <= 21.80 Ha: μ > 21.80
Step-by-step explanation:
We set the null hypothesis as what is already given . We are already informed that the average wage is equal to μ <= 21.80 against the claim that is required. It is required to test whether the average wage of the computer programmers is greater than μ > 21.80
So option d is the best answer.
Hypotheses testing is done using an observation and a claim. The observation is set as a null hypothesis and claim is set as an alternative hypothesis. The null and alternative hypotheses must be chosen wisely to get the correct results.
The critical region is dependent on the claim set.
Two number are
from point A on a number line if the distance from
point A to each of the two numbers is the same.
opposite
similar
away
equidistant
1. Simplify each of the following fractions
leaving each as an improper fraction, not a whole
number. Do not use your calculator!
4.50
5
3.2
8
Answers:
9/2
5/1
16/5
8/1
A square hada perimeter of 29x^2-24x-16 what is the side length
Answer:
7.25x²-6x-4
Step-by-step explanation:
29x²-24x-16
÷4=
7.25x²-6x-4
Nina goes to the neighborhood store to buy 14 rolls of toilet paper. If she spent $20.02 in all for her purchase, how much does one roll of toilet paper cost?
Answer:
Each roll is $1.43.
Step-by-step explanation:
20.02 ÷ 14 = 1.43.
1.43 × 14 = 20.02.
When Barbara started her trip, the odometer read 13,487.8. When she ended the trip, it read
14,108.6. Barbara's car gets 22 miles per gallon. Her tank was full at the beginning of the
trip. When she filled the tank, it cost her $88.04. How many gallons did Barb use, and what
price did she pay per gallon of gas on this fill-up?
HELP ASAP PLEASE
Answer:
28.2 gal
$3.12/gal
Step-by-step explanation:
Length of trip:
14,108.6 mi - 13,487.8 mi = 620.8 mi
(620.8 mi)/(22 mpg) = 28.218 gal
She used 28.2 gallons.
price per gallon = $88.04/(28.218 gal) = $3.12/gal
Help me with this question please
Answer:
A. x + 46 = 2,749
Step-by-step explanation:
The total MUST be 2,749 as it is the amount of books added and the amount of books that were present from before; therefore, the books in total is 2,749.
x remains there, for the library had already had (x) amount of books from before.
46 is added to x because 46 is the amount of books acquired, in addition to (x) amount of books.
Therefore, the answer is x + 46 = 2,749
graph x= -2y by plotting the intercepts.
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
slope:-1/2
y-intercept:(0, 0)
Answer:
slope: [tex]-\frac{1}{2}[/tex]
y intercept: [tex]0,0[/tex]
Step-by-step explanation:
Here is a graph.
Hope this Helps!
Open the line reflection application. The right line is a reflection across the y-axis of the left line. Click the reflect over y-axis button. Are these lines the same? What does this mean about how a line changes when you reflect it?
Answer:
The lines are the same, they are just in a different position.
Step-by-step explanation:
A reflection is a type of rigid transformation. Rigid transformations do not change the size nor the length of the pre-image.
In other words, the pre-image and the image in a rigid transformation are congruent.
Hope this helps.
Based on the fact that the right line is a reflection across the y-axis, the lines are the same, they are just in a different position.
What is a Reflection?This refers to the rigid transformation type that is used to represent an image and does not change its size or length of it.
With this understanding, we can see that the pre-image and the image in a rigid transformation are congruent which makes the lines to be the same, even if they are in a different position.
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The product of two whole numbers is 504 and their sum is 45. What are the two numbers?
Answer:
21, 24
Step-by-step explanation:
1. Given:
[tex]xy=504[/tex][tex]x+y=45[/tex] [tex]y=45-x[/tex]2. Solution:
[tex]x(45-x)=504[/tex][tex]45x-x^2=504[/tex] [tex]x^2-45x+504=0[/tex] [tex]x^2-24x-21x+504=0[/tex] [tex]x(x-24)-21(x-24)=0[/tex] [tex](x-24)(x-21)=0[/tex] [tex]x_1=24[/tex] ⇒ [tex]y_1=21[/tex] [tex]x_2=21[/tex] ⇒ [tex]y_2=24[/tex]
The function rule for this graph is
y =
Answer:
-1/2 + 2.
Step-by-step explanation:
tristan wants to build a square garden in his backyard. if the garden is going to be 64 ft squared how many feet of material will he need for the perimeter of the garden?
Answer:
32 ft
Step-by-step explanation:
First Tristan must determine the length of one side of his square garden. Sine A = x^2, where x is the length of one side, and since 64 ft^2 = x^2, we can find the length x by taking the square root of both sides: 8 ft = x.
Now the length of the material enclosing the garden is the perimeter, P.
For a square, P = 4x.
Therefore, in this case, P = 4(8 ft) = 32 ft
A can do a piece of work in 20 days and B can do it in 12 days,B work for 9 days,in how many days A alone can do the work
Answer: 9
Step-by-step explanation:
The domain for variable x is the set of all integers. Select the statement that is true.
A. ∃x (3x=1)
B. ∃x (x2<1)
C. ∀x (x2=1)
D. ∃x (x2<0)
Answer:
B. ∃x (x2<1)
Step-by-step explanation:
When we take X = 0 and Placing it in each option as follow
A.
∃x (3x=1)
∃x (3(0)=1)
∃x (0=1)
Which is not true
B.
∃x (x2<1)
∃x ((0)2<1)
∃x (0<1)
Which is true
C.
∀x (x2=1)
∀x ((0)2=1)
∀x (0=1)
Which is not true
D.
∃x (x2<0)
∃x ((0)2<0)
∃x (0<0)
Which is not true.
A teacher wants to earn $1500 per year in supplemental income from a cash gift of $16,000. She puts $6,000 in a credit union that pays 7% annual interest. What rate must she earn on the remainder to achieve her goal
Answer:
6,000 * .07 = $420 per year
Therefore the remaining 10,000 must earn 1,080 per year
Total = Principal * (1+rate)^years OR
Total = 10,000 * 1 + rate
1,080 = 10,000*rate
1,080 / 10,000 = rate
rate = .108 OR rate = 10.8 % per year
Step-by-step explanation:
Solve the following equation 2x=15-1x
Answer:
x = 5
Step-by-step explanation:
2x = 15 - 1x
add 1x to both sides
3x = 15
divide both sides by 3
x = 5
Answer:
X=5
Step-by-step explanation:
Add 1x on both sides so you can get like terms on one side now you have 3x=15 You will now divide by 3 on both sides to get x by itself so you end up with X=5
If LM=8 and MN=5 , what is LN
Answer:
23
Step-by-step explanation:
Answer:
The answer is 23
Step-by-step explanation:
Hope this answer is helpful...
Make me as brainliest...
WILL GOVE BRAINIEST !!!! HELP
Answer:
1. 15
2.-54
3.-19
4.1.5
5.-5
6.63
7.1
8.-26
9.-4
10.7
11. 0
12. -4
Step-by-step explanation:
all you do is plug in the number within the parentheses to the equation as the variable x and solve from there.
what is the sum of 2,888 and 74
Answer:
2962
Step-by-step explanation:
2 8 8 8
+ 7 4
----------------
2 9 6 2
2962
Step-by-step explanation:2888 +
74
---------
2962
8 + 4 = 12
8 + 1 + 7 = 16
8 + 1 = 9
Ramon needs to simplify the expression below. StartFraction 3.5 times 2 divided by 0.4 over 8.1 + 1.5 minus 4 EndFraction Which operation should he perform first? 1.5 minus 4 2 divided by 0.4 3.5 times 2 3.5 divided by 8.1
Answer:
I think is C
3.5x2
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
edu2021
What is the equivalent algebraic expression of " 5 less than four times a
number x " ?
If a student gets an A on a final exam, then the student will pass the course.
The student gets an A on the final exam.
Answer: PERIOD
Step-by-step explanation:
Get good grades on your assignments and the student will pass the course with an A.
If a train travels at 66 mph for 10 min, what is the distance traveled?
Answer:
11 miles
Step-by-step explanation:
find how many miles per minute
66 / 60 = 1.1
find how many miles in 10 minutes
1.1 • 10 = 11
11 miles
Answer:
11 miles
Step-by-step explanation:
66 miles per hour
Convert minutes to hours
10 minutes * 1 hour/ 60 minutes = 1/6 hour
distance = rate * time
= 66 miles per hour * 1/6 hour
= 11 miles
if jeff had 10 cookies and sam ate 10 how many are left?
Answer:
0
Step-by-step explanation:
10-10=0