Answer:
it is 8 hours................
Answer:
takes you 8 hours
Step-by-step explanation:
can you begin solving x-2/x+3 ≥2 by multiplying both sides of the inequality by x+3? Explain your answer.
Answer:
yes, but there is a better way
Step-by-step explanation:
instead of multiplying x+3 on both sides, I would instead subtract 2 on both sides. If you do this, it would be easier to write this equation in standard form and find the intervals.
In summary, to solve the inequality (x - 2)/(x + 3) ≥ 2, we can multiply both sides of the inequality by x + 3 only when x > -3 to preserve the direction of the inequality.
To solve the inequality (x - 2)/(x + 3) ≥ 2, we need to consider the impact of multiplying both sides of the inequality by x + 3.
When multiplying both sides of an inequality by a positive number, the direction of the inequality remains the same. However, if we multiply both sides by a negative number, the direction of the inequality is reversed.
In this case, the expression x + 3 is in the denominator of the left side of the inequality. If we multiply both sides of the inequality by x + 3, we need to consider two scenarios:
If x + 3 is positive: In this case, we can multiply both sides of the inequality by x + 3 without changing the direction of the inequality.
If x + 3 is negative: Multiplying both sides of the inequality by x + 3 would require flipping the direction of the inequality.
Therefore, we need to ensure that x + 3 is positive before multiplying both sides by x + 3 to preserve the direction of the inequality.
To determine when x + 3 is positive, we set the denominator equal to zero and solve for x:
x + 3 = 0
x = -3
So, if x > -3, then x + 3 is positive.
In summary, to solve the inequality (x - 2)/(x + 3) ≥ 2, we can multiply both sides of the inequality by x + 3 only when x > -3 to preserve the direction of the inequality.
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Factor completely: 2x^3-12x^2+18x
Answer:
2x(x - 3)²
Step-by-step explanation:
We can simplify this a lot by first factoring 2x out of each term:
2x³ - 12x² + 18x
= 2x(x² - 6 + 9)
We can then factor the trinomial fairly easily, as it's a perfect square:
= 2x(x - 3)²
A car starting from rest accelerates at a rate of 7.5 m/s2. What is its final speed at the end of 4.0 seconds?
Step-by-step explanation:
initial velocity is 0
time is 4 seconds
acceleration is 7.5mper second square
using the formula s=ut+1/2at^2[distance equal to initial velocity times time plus half into acceleration times (time )squared] substitute s=0×4+2×7.5 ×4^2
s=0+7.5×16
s=120m
Which graph represents the same relation as the set {(-3,2).(5.5)(3,3).(3.-2)}}
Please hurry:(?
Answer:
b
Step-by-step explanation:
Help me with this pls
How far up the house would a ladder be resting if it is 25 ft long and 3 ft
away from the house? Round to the nearest tenth if necessary.
5.3 ft
21 ft
24.8 ft
25.2 ft
Answer:
C
Step-by-step explanation:
The last one is absurd. You can't have a ladder reaching higher than itself. The question is a Pythagorean problem.
Givens
a = 3
b = ?
c = 25 feet
Formula
a^2 + b^2 = c^2
Solution
3^2 + b^2 = 25^2
9 + b^2 = 625 Subtract 9 from both sides.
b^2 = 625 - 9
b^2 = 616 Take the square root of both sides.
b = sqrt(616)
b = 24.8
PLEASE HELP ME WITH MATH!!
The question is: Thirteen plus 5 times a number is no more than 30.”
Let the number be x.
13 + 5x < 30
5x < 30 - 13
5x < 17
x < 17/5
Step-by-step explanation:
let number be x
equation= 13 + 5x =or<30
if 13+5x=30
5x=17
x=3.4
A sports equipment researcher investigated how different types of wood used to make baseball bats might affect batting. The researcher selected a sample of 80 batters from summer baseball leagues and randomly assigned the batters to one of two groups: the ash bat group or the maple bat group. The mean number of hits for each group was recorded at the end of the season, and the difference in the sample means was calculated. Which of the following is the appropriate inference procedure for analyzing the results of the investigation?
A. A one-sample t-interval for a population mean
B. A one-sample t-interval for a sample mean
C. A matched pairs t-interval for a mean difference
D. A two-sample t-interval for a difference between sample means
E. A two-sample t-interval for a difference between population means
Answer:
E
A two-sample t -interval for a difference between population means
Step-by-step explanation:
i just took the test
The appropriate inference procedure for analyzing the results of the investigation is option E. A two-sample t-interval for a difference between population means
Analysis the results of the investigation:Since the researcher selected a sample of 80 batters from summer baseball leagues and batters assigned to one of the two groups. So this means that the researcher is interested to know whether the mean no of hits should be different for two groups and both groups are independent to each other.
Therefore, The appropriate inference procedure for analyzing the results of the investigation is option E. A two-sample t-interval for a difference between population means
learn more about mean here: https://brainly.com/question/10132345
HELP PLEASE 24 POINTS
Answer:
C
Step-by-step explanation:
Which of the following is an expression for "doubling a number n and dividing by 3"
Answer:
its 2n / 3 i hope it helped u thanks
what is this equal to
[tex] \frac{a + 8}{2} = \frac{a - 4}{8} [/tex]
From the set {24, 36, 72}, use substitution to determine which value of x makes the inequality true. A. 72 B. 36 C. none of these D. 24
Complete question :
From the set {24, 36, 72}, use substitution to determine which value of x makes the inequality true.
x ÷ 12 < 3
Answer:
24
Step-by-step explanation:
Given the inequality : x ÷ 12 < 3
Substitute the values in the set for X and test the inequality expression if it hoods true for each of the substituted value.
x = 24
24 ÷ 12 < 3
2 < 3 (true)
x = 36
36 ÷ 12 < 3
3 < 3 (false)
x = 72
72 ÷ 12 < 3
6 < 3 (false)
Divide 2.2 and 41.5 :)
Answer:
39.3
Step-by-step explanation:
NEVER GONNA GIVE YOU NEVER GONNA LET YOU DOWN
Write an equivalent ratio described in the situation below. The ratio of boys to girls is 5/2
Answer:
5: 2 or 10: 4
Step-by-step explanation:
as a ratio, this would be 5: 2.
Im not sure if it's asking you to also make a new ratio that fits this, but if it is you could multiply both sides by 2 to get
10 : 4
Each bus for Philips Elementary School transports 40 students to school. There are 12 buses that transport students to school each day. How many students are transported to school each day by bus? Show your work.
Answer:
480 students are transported to school each day.
Step-by-step explanation:
Since there are 12 buses and each one of them transports 40 students that means that the total amount of students will be equal to...
12 x 40 = 480
A chef plaining for a large banquaet think that 2 out of every 5 dinner guests will order his soup appetizer he expects 800 guests at the banquat use equvilent ratios to estimate how many cups of soup he should prepare
Answer:
I think 80
Step-by-step explanation:
2*5=10
800/10 = 80
80 soups
Ivanka has 108 inches of fabric for a blanket. The pattern calls for 24 yards. How
much extra fabric does she have?
Perform the operation (x^2+8x+8)+(-10x^2+5x)
Answer:
Step-by-step explanation:
(x^2+8x+8)+(-10x^2+5x) = (x^2-10x^2) + (8x+5x) + 8
= -x^2 +13x + 8
Answer:
-9x^+13x+8
Step-by-step explanation:
Select the formula for the xth term of the sequence.
3, 11, 19,
Answer:
8n - 15
Step-by-step explanation:
for finding the nth term we need to figure out the difference between the numbers:
3,11,19 = difference of 8
multiples of 8:
8,16,24,32,40...
the nth term would be 8n - 5 because in order to get to 3 from 8, we minus 5
help me please!!!!!!!!
Answer:
16/19 students
New Answer:
3/5 students
Step-by-step explanation:
Help me photo is attached below pleaseeee I beg youuu
Answer:
15? i'm not too sure, the wording is throwing me off
Step-by-step explanation:
Answer:
15 dogs
Step-by-step explanation:
dogs : cats : rabbits
5 : 2 : 1
? : ? : 3
1 rabbit = 2 cats
2 cats = 5 dogs
1 rabbit = 2 cats
2 rabbits = 4 cats
3 rabbits = 6 cats
2 cats = 5 dogs
4 cats = 10 dogs
6 cats = 15 dogs
A certain rectangle
has a perimeter of 10 units and an area
of 6 units. Two of the vertices have
coordinates (1,7) and (1, 4). Find the two
missing coordinates.
Answer:
Step-by-step explanation:
Distance between (1,7) and (1,4) = 3
Length of adjacent side = area/3 = 2
Remaining vertices: (3,7) and (3,4), or (-1,7) and (-1,4)
Work out the size of angle BCD
Answer:
sin62=BD/AB
BD=Sin62×AB
BD=Sin62×15
BD=13.24
ALSO,
Tan C = BD/BC
Tan C = 13.24/24
Tan C = 5.51 / 10
C = Tan^-1 ( 5.51 / 10 )
Answer:
∠BCD = 29°
Step-by-step explanation:
sin 62 = BD/15
0.8829 = BD/15
BD = 13.24
tan ∠BCD = 13.24/24 = 0.5517
∠BCD = 29°
Need help plzzzzz will give Brainly est
Answer: 6 years
Step-by-step explanation:
The formula for the Simple interest is given as: = PRT
Since we've been given some values already, we slot it into the formula and this will be:
Interest = PRT
78.12 = 217 × 6% × T
78.12 = 217 × 0.06 × T
78.12 = 13.02T
T = 78.12/13.02
T = 6
Time = 6 years
Graphing & Solving Inequalities
Answer:
x ≥ 1
Step-by-step explanation:
3 + 4x ≥ 7
3 - 3 + 4x ≥ 7 - 3
4x ≥ 4
4x / 4 ≥ 4 / 4
x ≥ 1
What’s the missing side length?
La profundidad de una alberca aumenta paulatinamente desde 0.80 metros hasta 3 metros en una longitud de 10 metros cual es el angulo de inclinacion de la alberca
Answer:
El ángulo de inclinación de la alberca es aproximadamente 12.407º.
Step-by-step explanation:
Puesto que conocemos la distancia horizontal ([tex]l[/tex]) y la variación en la profundidad ([tex]h[/tex]) de la alberca, en metros, podemos emplear la siguiente razón trigonométrica para calcular el ángulo de inclinación de la alberca ([tex]\alpha[/tex]), en grados sexagesimales:
[tex]\alpha = \tan^{-1}\left(\frac{h}{l} \right)[/tex] (1)
Si sabemos que [tex]l = 10\,m[/tex] y [tex]h = 2.20\,m[/tex], entonces el ángulo de inclinación de la alberca es:
[tex]\alpha \approx 12.407^{\circ}[/tex]
El ángulo de inclinación de la alberca es aproximadamente 12.407º.
An English instructor asserted that students' test grades are directly proportional to the amount of time spent studying. Lisa studies 4 hr for a particular test and gets a score of 72. At this rate, how many hours would she have had to study to get a score of 96?
Answer:
12 hours.
Step-by-step explanation:
(7^0)*7^2. please solve this problem fast
Answer:
49
Step-by-step explanation:
PLease mark brainliest
Please help we with this.
"a card is shaped like a rectangle, The card is 9 centimeters long and 4 centimeters wide. what is the area?"
answers:
49
36
13
5
Answer:
36
Step-by-step explanation:
To find area you multiply length×width which is the same as 9×4
9×4= 36
Answer:
36 centimeters
Step-by-step explanation:
A = l x w
A = 9 x 4
A = 36