Answer:
[tex]Solution: f(x)\ge-5\\Interval:[-5,\infty)[/tex]
Step-by-step explanation:
Equation: [tex]\frac{1}{4} x^2-5 = y[/tex]
1). [tex]\frac{1}{4} x^2-5 = y[/tex] →[tex]\frac{x^2}{4}-5=y[/tex]
2). [tex]\frac{x^2}{4}-5=y[/tex] ∴ [tex]a=\frac{1}{4}, b=0, c=-5[/tex]
3). [tex]x_v=-\frac{b}{2a}[/tex]
[tex]=-\frac{0}{2(\frac{1}{4})}[/tex]
[tex]=0[/tex]
4). now plug [tex]x_v[/tex] into [tex]y_v[/tex]
[tex]y_v=\frac{0^2}{4}-5[/tex]
[tex]=-5[/tex]
5). Minimum (0,-5) ∴ [tex]f(x)\ge-5[/tex]
Which of the following best describes weight?
A. The amont of space an object takes up
B. The amont of matter in an object
C. The force on an object due to its mass and gravity
D. The force on an object due to its speed and location
Answer:
-The force on an object due to it's mass and gravity
The length of each side of a square wooden box
Answer:
[tex](8x^2)^3\\= 512x^6[/tex]
You have to multiply the whole equation by cubed, since the parenthesis applies for the entire equation.
Another student answers 21 questions 6 are correct how many points does she score
The map of a biking trail is drawn on a coordinate grid.
The trail starts at P(−3, 2) and goes to Q(1, 2).
It continues from Q to R(1, −1) and then to S(8, −1).
What is the total length (in units) of the biking trail?
A. 11
B. 13
C. 14
D. 16
Answer:
11 units
Step-by-step explanation:
-3-1 = -4 = 4
8-1=7
4+7 = 11
which two integers is the irrational number √77 between
Answer:
send me your disc ill help
Step-by-step explanation:
which fraction is equal to 0.5 7
The value of fraction 0.5 7 is equal to 1/2.
We are given that;
Number = 0.57
Now,
There are different ways to express a fraction as a decimal, but one common method is to divide the numerator by the denominator.
For example, 1/2 as a decimal is 1 ÷ 2 = 0.512.
Another method is to use a fraction to decimal conversion chart or calculator345. According to these sources, 0.5 as a fraction is equal to 5/10 or 1/2.
These fractions are equivalent because they have the same value when simplified or reduced.
To simplify a fraction, we can divide both the numerator and the denominator by their greatest common factor (GCF).
Therefore, by algebra the answer will be 1/2.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ6
10 x 10 in exponential form
Answer:
10^2
Step-by-step explanation:
Answer:
10²
Step-by-step explanation:
There are 2 "10's" being multiplied.
Solve for x
O 10°
O 189
O 20°
O 22.5°
Answer:
[tex]\boxed{x=10}[/tex]
Step-by-step explanation:
We are given two angles, which together, have a sum of 90°. We call these complementary angles. The angle ∠EAF is the complement of angle ∠FAB and vice versa.
Therefore, because they sum up to be 90°, we can simply add the angles together and solve for x this way.
[tex]4x+5x=90\\\\9x = 90\\\\\frac{9x}{9} = \frac{90}{9}\\\\\boxed{x = 10}[/tex]
The variable x equals 10. We can go even further to check and verify that this is correct by substituting our original value for x into the equation.
[tex]4(10)+5(10)=90\\\\40 + 50 = 90\\\\90 = 90[/tex]
90 does in fact equal 90, so your final answer is x = 10°.
Hope this helps! :)
Simplify - root of 0.25
Answer:
0.5
Step-by-step explanation:
[tex] \sqrt{0.25} = \sqrt{ \frac{25}{100} } = \frac{5}{10} = 0.5 \\ [/tex]
Answer:
0.5
Step-by-step explanation:
√
0.25
⇒
√
0.5
×
0.5
⇒
√
(
0.5
)
2
⇒
0.5
Line a through (2, 3) is parallel to line b with equation y = -1, which point below a lso lies on line a? A (2,9) B(-5, 3) C (0, 1) D (1, 4)
Answer:
B (-5, 3)
Step-by-step explanation:
The line a passes through point ( 2,3 ).
Line b has equation y= -1
Plot the graph for line b, y=-1 , which is a horizontal line as shown in the attached graph
Plot point (2, 3) and draw the graph of line a, y=3 to form a line a parallel to line b
You will notice that point B (-5, 3) is the one the lies on line a.
The answer option A,(2,9) is incorrect because it does not lie on any of the lines
The answer option C (0, 1) is incorrect because it lies along the y-axis
The answer option D (1, 4) is incorrect because it does not lie on any of the lines.
The amount of money earned on a job is directly proportional to the number of hours worked.If $36 is earned for 8 hours of work, how much is earned for 30 hours of work?
Answer:
$135
Step-by-step explanation:
first divide 36 by 8
gives you how much you earn for one hour
36/8=4.5
then multiply
4.5 by amount of hours worked
so 4.5*30=135
The amount of money earned on a job for 30 hours is $135.
The amount of money earned on a job is directly proportional to the number of hours worked.
The amount of money earned for 8 hours of work is $36.
We need to determine the amount earned for 30 hours of work.
Let us determine the amount earned per hour.
Thus,
[tex]\begin{aligned}8\;\rm{Hours \;of\;work}&=\$36\\1\;\rm{Hour \;of\;work}&=\$\dfrac{36}{8}\\&=\$4.5 \end{aligned}[/tex]
Therefore, the amount earned per hour is $4.5.
Now, multiply by 30 to get the amount earned for 30 hours.
Thus, the amount of money earned on a job for 30 hours is $135.
To know more about it, please refer to the link:
https://brainly.com/question/2146068
Garrison deposited $500 in an account that earns 5% annual interest compounded annually. If he makes no withdrawals or deposits, what will be the ending balance of his account after 4 years? *
If a decorative sign in the form of a circle has a diameter of 10 feet what is the area of the sign
Kevin used 7/8 of a 5 gallon bucket of paint to paint four rectangular walls that are all the same area how much paint did Kevin use on each wall
Answer with step-by-step explanation:
First, we have to find out how much paint Kevin used. We can write the equation as the following; 5/1 × 7/8 = 4 3/8. Now, we divide 4 3/8 by 4 to calculate how much paint will be used for each wall. 4 3/8 ÷ 4 = 35/32. So to finalize, Kevin used 35/32 gallons to paint each wall.
Hope this helped! (brainliest please)
Answer:
1 3/32 gallons
Step-by-step explanation:
This is 35/32 simplified which 35/32 simplified is the real answer!
Hope this helped :)
The number of pages that Allen, Kevin, Roneisha, and Ben can read in a day is shown below.
Allen read 15% of his 56-page book.
Kevin read 12% of his 64-page book.
Roneisha read 16% of his 42-page book.
Ben read 10% of his 72-page book.
Who can read the greatest number of pages in a day?
Kevin
Allen
Roneisha
Ben
Answer:
allen
Step-by-step explanation:
Considering only functions that have a rate of change less than that represented in the graph, which function has the greatest rate of change?
A.
B.
C.
D.
Answer:
D.
Step-by-step explanation:
I got it right on the test.
Work out the value(3^2)^2 x (10^3)^2
Answer:
81,000,000
Step-by-step explanation:
(3²)² × (10³)²
(9)² × (1000)²
81 × 1000000
81,000,000
Answer:
1000081
Step-by-step explanation:
=3^6+10^6
=81+1,000,000
A population has mean and standard deviation . Find and for samples of size . Round your answers to one decimal place if needed.
Answer:
μx = 17
σx = 2.2
Step-by-step explanation:
See attachment for full question.
Given:
μ = 17
σ = 22
[tex]n = 100\σ = 22[/tex]
Required
Determine (i) μx and (ii) σx
Solving (i): μx
The mean of a sample means is calculated as thus:
μx = μ
Hence:
μx = 17
Solving (ii): σx
σx = σ/√n
So, we have:
σx = 22/√100
σx = 22/10
σx = 2.2
solve please 9²=97. is the answer rational or irrational?
Answer:
I got you, 81 = 97 or 81, is a rational number.
Step-by-step explanation:
A rational number, denoted by Q is a number which can be written in the form. 81 can be expressed as 811 where both 81 and 1 are integers.
Men have XYâ (or YX) chromosomes and women have XX chromosomes.â X-linked recessive genetic diseasesâ (such as juvenileâ retinoschisis) occur when there is a defective X chromosome that occurs without a paired X chromosome that is not defective. Represent a defective X chromosome with lowercaseâ x, so a child with the xY or Yx pair of chromosomes will have the disease and a child with XX or XY or YX or xX or Xx will not have the disease. Each parent contributes one of the chromosomes to the child.
Required:
a. If a father has the defective x chromosome and the mother hasgood XX chromosomes, what is the probability that a son willinherit the disease?
b. If a father has the defective x chromosome and the mother asgood XX chromosomes, what is the probability that a daughter willinherit the disease?
c. If a mother has one defective x chromosome and one good Xchromosome, and the father has good XY chromosomes, what is theprobability that a daughter will inherit the disease?
d. If a mother has one defective x chromosome and one good Xchromosome, and the father has good XY chromosomes, what is theprobability that a daughter will inherit the disease?
Answer:
A) 0
B) 0
C) 0
D) 0.5
Step-by-step explanation:
We are told that Men have XY (or YX) chromosomes and women have XX chromosomes
A) If a father has the defective x chromosome and the mother has good XX chromosomes, the four possible outcomes will be;
{xX, YX, YX, xX}
The outcome for the son is;
{YX, YX}
The son will have the disease only if it's xY. Thus, probability of son having the disease is; 0/2 = 0
B) If a father has the defective x chromosome and the mother has good XX chromosomes, the four possible outcomes will be;
{xX, YX, YX, xX}
The outcome for the daughter is;
{xX, xX}
The daughter will have the disease only if it's xx. Thus, probability of daughter having the disease is; 0/2 = 0
C) If a mother has one defective x chromosome and one good Xchromosome, and the father has good XY chromosomes, the possible outcomes are;
{xX, xY, XX, XY}
Outcome for daughter is {xX, XX}
The daughter will have the disease it's xx. Thus, probability of daughter having the disease is; 0/2 = 0
D) If a mother has one defective x chromosome and one good Xchromosome, and the father has good XY chromosomes, the possible outcomes are;
{xX, xY, XX, XY}
The male outcome is;
{XY, xY}
The son will have the disease only if it's xY. Thus, probability of son having the disease is; 1/2 = 0.5
Write
6
1
2
as an improper fraction.
Answer:
13/2
Step-by-step explanation:
you do 6*2=12+1=13 which gives ya 13/2
you keep the denominator
(02.02)
Angle A measures 50 degrees. If angle A is rotated 45 degrees, what is the
measure of angle A'? (4 points)
95 degrees
50 degrees
O 45 degrees
180 degrees
PLS HELP
Which sequence shows the numbers in order from least to greatest?
Answer:
A. is the answer did you need an explanation
Please please please help I cannot figure this problem out
Car A is traveling east at a steady speed of 60 miles per hour after 2 hours, it is 130 miles east of Johnstown. car B is traveling east on the same road. its distance east of Johnstown is represented by the graph.
Answer:
45 mph = x
Step-by-step explanation:
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Distance (D) = Rate (R) * Time (T)
For Car A:
D = 30T {Eqn 1}
For Car B:
The Distance D and the time T is the same as for Car A
But, unlike Car A, Car B travels at two different rates. It travels at 20mph for a time T1. Then it passes Car A and travels at a rate of x for a period of time T2.
D = (20T1) + (x * T2)
Note that T2 must equal the total time T minus T1, so
D = (20T1) + (x * (T - T1)) {Eqn2}
Substitute Eqn 1 into Enq 2 : 30T = 20T1 + xT - xT1
Rewrite as: 30T = 20T1 + x(T-T1) {Eqn 3}
At what point do the two cars pass one another?
Car A travels 30T1 = D1
Car B is traveling in the opposite direction at 20T1 = D2
D2 = D - D1 (where D is the total circular length of the track)
Substituting, 20T1 = D - 30T1. Or 50T1 = D {Eqn 4}
Now we can establish a relationship between T and T1 by substituting Eqn1 into Eqn4
D = 30T = 50T1
30T = 50T1
(30/50)T = T1
T1 = (3/5)T {Eqn 5}
Now substitute Eqn 5 into Eqn 3
30T = 20T1 + x (T-T1)
30T = 20(3/5)T+ x (T - 3/5 T)
30T = 12T + xT(2/5)
18T = (2/5)x
(5/2)18 = x
45 mph = x
Recall that x is the speed that Car B must travel after it passes Car A.
Cynthia Besch wants to buy a rug for a room that is 20 feet wide and 34 feet long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 392 square feet of carpeting. What dimensions should the rug have?
Answer:
b
Step-by-step explanation:
HELP PLEASE!!!!!! POINTS WILL BE GIVEN!!
1. It is impossible to buy a negative number of TV ads. Write an
inequality for this constraint.
2. It is impossible to buy a negative number of magazine ads. Write an
inequality for this constraint.
Information about project:
TV ads cost $600 per airing.
Magazine ads cost $1200 per issue.
You total advertising budget is $9,000.
Answer:
You havent gaven enough information for me to solve the question, do i just freely pick how much magazine ads and tv ads i want until i get to 9k, im very confused
Step-by-step explanation:
Raina runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64
minutes?
Answer:
5.6 miles
Step-by-step explanation:
[tex]\frac{80 minutes}{7 miles} = \frac{64 minutes}{x}[/tex]
80x = 448
x = 5.6 miles
Please help me solve this equation and show the work show me how you got the answer
Answer: k=3
Step-by-step explanation:
To solve for k, you want to isolate k.
[tex]\frac{2}{5} (5k+35)-8=12[/tex] [add both sides by 8]
[tex]\frac{2}{5} (5k+35)=20[/tex] [multiply both sides by 5/2]
[tex]5k+35=50[/tex] [subtract both sides by 35]
[tex]5k=15[/tex] [divide both sides by 5]
[tex]k=3[/tex]
Now, we know that k=3.
During a football game, a team lost 9 yards on the first play, then gained 3 yards on each of the next 3 plays. Which
integer represents the total number of yards at the end of the first four plays?
O 3
O0
O9
O18
Answer:
the answer is 0 when you lose nine yards you are at -9 then you gain 3 on each of the next 3 plays so that is 9-9= 0
Step-by-step explanation:
+2boxes of 24 pencils each. HOW
have in all?
2. Linda bought a coat for $2265 and a saree for $2150. She gave $5000 to the shopkeeper.
How much money did the shopkeeper return to her?
3. The cost of 21 TY
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[tex]2 \times 24 = 48[/tex]
Thus we have 48 pencils in all.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]5000 - (2265 + 2150) = [/tex]
[tex]5000 - 4415 = [/tex]
[tex]585 \: \: dollors[/tex]
Thus the shopkeeper returned her 585 $.