Answer:
Raise both sides of the equation to the power of 2
Raise both sides of the equation to the power of 2 again
Simplify to get a quadratic equation.
Use the quadratic formula to find the values of x.
Step-by-step explanation:
The radical equation is expressed as:
[tex]\sqrt{x+3} - \sqrt{2x-1} = -2[/tex]
The following steps are to be followed to calculate x:
Step 1: Raise both sides of the equation to the power of 2.
[tex](\sqrt{x+3} - \sqrt{2x-1})^2 = (-2)^2\\x+3 - 2\sqrt{x+3}\sqrt{2x-1}+(2x-1) = 4\\ - 2\sqrt{x+3}\sqrt{2x-1}+x+3+2x-1 = 4\\ - 2\sqrt{x+3}\sqrt{2x-1}+3x+2 = 4\\ - 2\sqrt{x+3}\sqrt{2x-1} +3x-2 = 0\\[/tex]
Step 2: Raise both sides of the equation to the power of 2 again
[tex](-2\sqrt{x+3}\sqrt{2x-1})^2 = (2-3x)^2\\4(x+3)(2x-1) = (2-3x)^2\\[/tex]
Step 3: Simplify to get a quadratic equation.
[tex]\\4(2x^2-x+6x-3) = 4-12x+9x^2\\4(2x^2+5x-3) = 4-12x+9x^2\\8x^2+20x-12 = 4-12x+9x^2\\x^2-32x+16 = 0[/tex]
Step 4: Use the quadratic formula to find the values of x.
x = 32±√32²-4(16)/2
Your mom makes $5.23 a year. how much money does she make a day?
rearrange the equation A=xy to solve for x
Answer:
x = A/y
Step-by-step explanation:
A=xy
Dividing both sides by y,
x = A/y
At Park Junior High, 10%, or 160, of the students, play a musical instrument. How many students attend the school?
A tape diagram. StartFraction part Over whole EndFraction = StartFraction 10 Over 100 EndFraction = StartFraction 160 Over question mark EndFraction
Which statements are correct? Check all that apply.
The total number of students is 160.
The percent as a part-to-whole ratio is StartFraction 10 Over 100 EndFraction.
The percent as a part-to-whole ratio is StartFraction 160 Over 100 EndFraction
There are 1,600 students in the school.
There are 250 students in the school.
The number of students in the school are represented by percentages
The number of students in the school is 1600
Let the number of students in the school be n.
So, the equation from the question is:
[tex]\mathbf{10\% \times n = 160}[/tex]
Divide both sides by 10%
[tex]\mathbf{n = \frac{160}{10\%}}[/tex]
Express 10% as decimal (0.10)
[tex]\mathbf{n = \frac{160}{0.10}}[/tex]
[tex]\mathbf{n = 1600}[/tex]
Hence, the number of students in the school is 1600
The true statements are (d) and (e)
Read more about proportions and percentages at:
https://brainly.com/question/12662837
Answer:
b, c, e,
Step-by-step explanation:
I did the math
Express the distance 360,000,000 meters using scientific notation in meters and then in millimetres. Plz Halp i give all my points
Answer:
[tex]3.6 \cdot 10^8[/tex] m and [tex]3.6 \cdot 10^{11}[/tex] mm
Step-by-step explanation:
Scientific Notation: [tex]a \cdot 10^{b}[/tex] ([tex]1<a<10[/tex])
So, Scientific Notation in meters is: [tex]3.6 \cdot 10^8[/tex] m
1 meter = 100 cm and 1 cm = 10 mm so 1 meter = 1000 mm
So, [tex]3.6 \cdot 10^8[/tex] m is [tex]3.6 \cdot 10^8 \cdot 1000[/tex] mm, so [tex]3.6 \cdot 10^{11}[/tex] mm.
The scientific notation of the number 360,000,000 is 3.6 x 10⁸ m or 3.6 x 10¹¹ mm.
What is scientific notation?Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It could be called scientific form.
A numerical indication of the operation of raising to a power that is placed above and to the right of a mathematical expression.
Given that the distance is 360,000,000 meters. The distance in the scientific notation form can be written as:-
Distance = 360,000,000 meters
Distance = 3.6 x 10⁸ m
Distance = 3.6 x 10¹¹ mm.
To know more about scientific notation follow
brainly.com/question/1767229
#SPJ2
There are 16 girls in Ms. Bentley's college math class. If 25% of the students are girls, what is the best estimation for the number of boys in the class?
A. 30
B. 40
C. 50
D. 60
Answer:
C. 50
Step-by-step explanation:
First, make a proportion.
16/x = 25/100
where x = total number of students
solving for x, we get x = 64.
64 - 16 girls = 48 boys
This is more of a fun one
e = what
a. the 5th letter in the alphabet
b. mc 2
c. mc square
d. its in the alphabet
e. all of the above
f. i don't know
Answer:
c
Step-by-step explanation:
complete the statement and name the property
If 5(x+8)=2, then _+_=2
property:
Answer:
5x+40=2
Step-by-step explanation:
Answer: 5x + 40 ; distributive
Springboard page 19
2. Last week, Donnell practiced the piano 3 hours longer than Marcus. Together, Marcus
and Donnell practiced the piano for 11 hours. For how many hours did each boy practice
the piano?
Answer:
7 and 4
Step-by-step explanation:
Answer:
7 and 4
Step-by-step explanation:
Let the number of hours Donnell practiced be d
and the number of hours Marcus practiced be m.
We can set up a system of equations.
d = m + 3
m + d = 11
Substitute the value of d that's in the first equation, into the second equation.
m + (m + 3) = 11
2m + 3 = 11
2m = 8
m = 4
Marcus practiced for 4 hours. Since Marcus and Donnell, together, practiced 11 hours, Donnell practiced for 11-4=7 hours.
Which fraction is represented by point A on the number line?
Start at 0 on the number line.
Note how it takes 4 steps to get to -1. Each step is shown by a unlabeled tickmark.
Since there are 4 of these steps, this means each tickmark represents 1/4 of a full unit. Therefore point A is at -1/4 since we're in negative territory.
Answer:
THE ANSWER IS B) -1/4
Step-by-step explanation:
15 points! Picture (after d it asks what is the contrapositive of the statement)
What are the radius and circumference of a circle with a diameter of 8 meters? Round answers to the nearest whole numbers. ill mark brainliest
Radius = 4 m, circumference = 25 m
Radius = 16 m, circumference = 32 m
Radius = 16 m, circumference = 4 m
Radius = 8 m, circumference = 16 m
Answer:
circumference=25m
Step-by-step explanation:
circumference=πd
π=22/7
d=8
22/×8=176/8
= 25.14 to the nearest whole number is 25
Answer:
Option one, 4m, 25m
Step-by-step explanation:
You need a calculator for this question.
Radius equation: d/2
Circumference equation: 2(pi r)
or pi (d/2)^2
So we have the diameter of 8 meters.
We can get the radius by dividing by 2. Our radius is 4 meters.
We multiply pi * d to get our circumference
pi*8 = 25
Our circumference is 25m and our radius is 4m
The sum of a number and two is equal to negative seven. Translate this sentence to an equation and then find the number. 0-5 05 0-9 9
Answer:
-5
Step-by-step explanation:
Anita is making headbands for her softball team. She needs a total of
3/4 yard of fabric. Which types of fabric cost less than $8 per yard? Write yes or no in each blank.
Fabric
Total Cost for
3/4 Yard ($)
Cotton
5.54
Flannel
2.62
Fleece
4.27
Terry Cloth
6.52
Answer:
Yes, No, No, Yes, Yes are the answers!
Hope you do Great!
Step-by-step explanation:
NO ONE IS HELPING ME PLEASE IM FINNA CRY I SWEAR I BEGGING YOU!!!! THIS IT DUE TODAY and PLZ explain!!!! ! SHOW YOUR WORK
p + 1.6 + (—0.4) 12
Answer:
-8
Step-by-step explanation:
P in (-oo:+oo)
P+1.6/(-0.4) = -12 // + 12
P+1.6/(-0.4)+12 = 0
P+8 = 0 // - 8
P = -8
P = -8
I think
Tickets to the zoo cost $12 for adults and $8 for students. The school has a budget
of $240 to buy tickets for this field trip. An equation representing this situation is is
12x + 8y = 240. The graph for this situation is shown below.
Use the EQUATION and/or GRAPH to answer the following questions.
A Can 16 adults and 6 students attend this trip? Explain/Show your reasoning.
B. If no adults attend the field trip, how many students can go? Explain/Show your
reasoning.
C. If 18 students attend the field trip, how many adults can go? Explain/Show your
reasoning
D. Using the equation provided, SHOW each step to SOLVE for y.
E What are the Y-INTERCEPT and what does it mean?
F. What are the SLOPE and what does it mean?
Answer:
a) yes
b)30
c)8
Step-by-step explanation:
2. In a study of nerve cells, researchers measured the timing of spontaneous electrical discharges in a single organism. The interspike-time intervals were approximately normally distributed with a mean of 15.28 ms and a standard deviation of 0.75 ms. Suppose you measured a random sample of n = 4 interspike-time intervals from this population. a. What is the probability that all four times in your sample are between 15.0 and 16.0 ms? (3pt) b. What is the probability that the sample mean time is between 15.0 and 16.0 ms? (3pt) c. Comparing the probabilities you calculated in parts (a) and (b), which is larger? Even if we changed the mean and standard deviation of this population, briefly explain why this will always be the case. (2pt)
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Mean (m) = 15.28
Standard deviation (σ) = 0.75
Sample size (n) = 4
What is the probability that all four times in your sample are between 15.0 and 16.0 ms?
x = 15
Zscore = (x - m) / (σ /√n)
Z = (15 - 15.28) / (0.75)
Z = −0.3733
P(Z < - 0.3733) = 0.35446
X = 16
Z = (16 - 15.28) / (0.75)
Z = 0.96
P(Z < 0.96) = 0.83147
0.83147 - 0.35446 = 0.47701
4 * 0.47701 = 1.90804
B.)
x = 15
Zscore = (x - m) / (σ /√n)
Z = (15 - 15.28) / (0.75/√4)
Z = −0.7467
P(Z < - 0.7467) = 0.22762
X = 16
Z = (16 - 15.28) / (0.75/√4)
Z = 1.92
P(Z < 1.92) = 0.97257
0.97257 - 0.22762 = 0.74495
C.) 1.9084 > 0.74495
HELP! will mark branliest
Explain whats going on in the picture and things you notice
help!
ANSWER PLEASE I NEED IT RIGHT AWAY ! pleaseeeeeeeeeeee:)
Answer:
y=1.25x+3
Step-by-step explanation:
what's 2 plus 2 plus 2 need help now will give brianlist and 22 points
Ps the answer is 6 I just don want the points.
Answer: 6
Step-by-step explanation:
Answer:
6?? lol what
Step-by-step explanation:
there are 40 students in a class. 60% are boys. 25% of the boys have brown hair. how many boys have brown hair?
Answer:
10 boys have brown hair
Step-by-step explanation:
40 x .25 = 10
Answer:
10 boys
Step-by-step explanation:
The nurse records the height of each eighth grader in your school. Identify the data set as numerical or categorical.
Answer:
The answer is numerical.
Step-by-step explanation:
Numerical data is more as an individual thing, as the nurse is recording each of the 8th grader's heights. Categorical is something that can be places into groups/categories.
Answer:
The nurse records the height of each eighth grader in your school. Identify the data set as numerical or categorical.
categorical data
numerical data
Step-by-step explanation:
B. numerical data
Categorical is something that can be places into groups/categories.
Jonah drives his car to and from work. The total length of the trip to and from work is 19.6 miles. in August, Jonah worked 27 days.
How many miles in all did Jonah drive to and form work that month? Complete the explanation.
19.6
X 27
Jonah drove __________ miles in August.
Answer:403.2
Step-by-step explanation:multiply whole numbers multiply 19.6 times 27 which = 158.4
complete the statement and name the property
If 5(x+8)=2, then _+_=2
property:
There are twelve members of the mu alpha theta math team. Membership is open to all students, male and female, enrolled in Algebra 1 or higher math courses.
Part A: An equation that represents the situation is
SELECT ONE
12 - b + g
b - g = 12
12 = b + g
12 - (b + g)
g + 12 = b
Part B: This equation has
a finite number of solutions
infinitely many solutions
no solutions
because
there are an unlimited number of combinations of real numbers whose sum is twelve
there are no combinations of real numbers whose sum is twelve
the number of boys or girls must be a natural number
Part C: An ordered pair that cannot be used to represent this situation is
(2, 10)
(9, 3)
(8, 4)
(7.4, 4.6)
PLEASE ALSO SHOW YOUR WORK!!!
Answer:
Part A:
12 = a + b
Part B:
Infinitely many solutions
There are unlimited number of combinations of real numbers whose sum is twelve
Part C:
(7.4, 4.6)
Step-by-step explanation:
Part A:
Let g = The number of female students in the mu alpha theta math team, and b = The number of male students in the mu alpha theta math team
The total number of students in the team = 12
Therefore, we have;
b + g = 12
Which is the same as 12 = a + b
Part B: The equation has infinitely many solutions because, there are unlimited number of combinations of real numbers whose sum is twelve
Part C: An ordered pair that cannot be used to represent this situation is (7.4, 4.6) because the number of boys and the number of girls must be natural numbers.
Add/Subtract using the proper rules:
(7 + 2i) - (-12 - 41)
Answer:
60+2i
Good Luck!!!
A moving company is able to move 92 boxes every hour. How many boxes are they able to move during an 8-hour workday?
1 hour= 92 boxes moved so
92 x 8 hours = 736
So 736 boxes were moved in 8 hours
Answer:
They wold be able to move 736 boxesStep-by-step explanation:
Which one?
A. B. C. or D?
Answer:
the answer is A
Step-by-step explanation:
have a nice day!!
Answer:
A
Step-by-step explanation:
[tex]2n^2 + 11n + 9 = 0\\2n^2 + 9n + 2n + 9 = 0\\n(2n + 9) + 1(2n + 9) = 0\\(2n + 9)(n + 1) = 0\\when, 2n + 9 = 0\\2n = -9\\n = \frac{-9}{2}\\\\when, n + 1 = 0\\n = -1\\\\\thus n = -1, \frac{-9}{2}[/tex]
i need help with the bottom part please and thank you
. A movie theater has two rooms. Room A has 7 rows of seats with 14 seats in each row. Room B has three times as many seats as room A. How many seats are there in both rooms?
Answer:
Number of seats in Room A = 98 seats
Number of seats in Room B = 294 seats
Total number of seats for both Room A and B = 392 seats
Step-by-step explanation:
From the above question, we are told that :
A movie theater has two rooms.
Room A has 7 rows of seats with 14 seats in each row.
Hence, the total number of seats in Room A = Number of rows × Number of seats in each row
= 7 × 14 seats
= 98 seats
Room B has three times as many seats as room A.
Room B = 3 × Room A
= 3 × 98 seats
= 294 seats
How many seats are there in both rooms?
Number of seats in Room A = 98 seats
Number of seats in Room B = 294 seats
Total number of seats for both Room A and B
= 98+ 294
= 392 seats
Wolfrich vivió en Portugal y Brasil para aprender portugués durante un período de 14 meses. Aprendió un promedio de 139 palabras nuevas por mes cuando vivió en Portugal y un promedio de 150 palabras nuevas cuando vivió en Brasil. En total aprendió 1920 palabras nuevas. ¿Cuánto tiempo vivió Wolfrich en Portugal y cuánto tiempo vivió en Brasil?
Pregunta completa :
Wolfrich vivió en Portugal y Brasil para aprender portugués durante un período de 14 meses. Aprendió un promedio de 130 palabras nuevas por mes cuando vivió en Portugal y un promedio de 150 palabras nuevas cuando vivió en Brasil. En total aprendió 1920 palabras nuevas. ¿Cuánto tiempo vivió Wolfrich en Portugal y cuánto tiempo vivió en Brasil?
Responder:
Portugal = 9 meses
Brasil = 5 meses
Explicación paso a paso:
Dado que:
Total de meses pasados tanto en Brasil como en Portugal) 14 meses
Dejar ;
tiempo pasado en Brasil = b
Tiempo pasado en Portugal = p
Promedio de palabras aprendidas por mes en Brasil = 150
Promedio de palabras aprendidas por mes en Portugal = 139
Total de palabras aprendidas = 1920
Matemáticamente;
150b + 130p = 1920 - - - (1)
b + p = 14 - - (2)
b = 14 - p
De 1)
150 (14 - p) + 130p = 1920
2100 - 150p + 130p = 1920
2100 - 20p = 1920
2100 - 1920 = 20p
180 = 20p
p = 9
b = 14 - p
b = 14 - 9
b = 5
Por lo tanto;
Portugal = 9 meses
Brasil = 5 meses