Answer: No solutions
Step-by-step explanation:
[tex]\large \bf \boldsymbol{ \boxed{\sqrt{a}\cdot \sqrt{b}=\sqrt{a\cdot b} }} \\\\\\ \sqrt{25x+75} +3\sqrt{x-2} =2+4\sqrt{x-3} +\sqrt{9x-18} \\\\ \sqrt{25} \cdot \sqrt{x+3}+3\sqrt{x-2} =2+4\sqrt{x-3} +\sqrt{9}\cdot \sqrt{x-2} \\\\5\sqrt{x+3} +3\sqrt{x-2} \!\!\!\!\!\!\!\!\!\!\bigg{/} \ \ =2 +4\sqrt{x-3} +3\sqrt{x-2} \!\!\!\!\!\!\!\!\!\!\bigg{/} \\\\(5\sqrt{x+3})^2 =(2+4\sqrt{x-3} )^2 \\\\ \ \ \ let \ \ t=x+3 \ \ ; \ \ \ t-6=x-3 \\\\ \big(5\sqrt{t} \ \big)^2=(2+\sqrt{t-6} )^2 \\\\[/tex] [tex]\large \boldsymbol{} \bf 25t=4+16\sqrt{t-6} +16(t-6) \\\\(9t+92)^2=(16\sqrt{t-6} )^2 \\\\81t^2+1656t+8464=256(t-6)\\\\81t^2+1400t+10000=0 \\\\ D=1400^2-324000=-128000=> \\\\D<0 \ \ no \ \ solutions[/tex]
write in the form of p/q, 0.785 (bar on 85)
please to spam anything except answer....TOMORROW EXAM
The expression of 0.785 in the form p/q is 157/200
The ratio is defined as a way of dividing a variable by another variable.
For instance, p/q can be described as the ratio of p to q where p and q are integers.Given the decimal number 0.785, to convert to fraction, we will place divide 785 by 1000 (since the decimal is on thousandth)
0.785 = 785/1000
Express in its simplest form
785/1000 = 157/200
Hence 0.785 written in the form p/q is 157/200 where p = 157 and q = 200.
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What is the domain of the square root function graphed below?
Answer:
D
Step-by-step explanation:
The graph clearly shows that x=>3
Given 2 ||
m
|| n, find the value of x.
142°
m
(3x+8)°
n
PLSSSS HELP MEEEE
Answer:
x = 10Step-by-step explanation:
Given,
l || m
Therefore,
142° + (3x+8)° = 180° [Since Co-exterior angles]
=> 3x + 8 = 180 - 142
=> 3x + 8 = 38
=> 3x = 38 - 8
=> 3x = 30
[tex] = > x = \frac{30}{3} [/tex]
=> x = 10 (Ans)
3. What is the volume of the regular pyramid?
Answer: 80 cubic meters (choice B)
==============================================================
Explanation:
The floor of the pyramid is a pentagon made of five congruent isosceles triangles as shown in the diagram below. Each triangle has a base of 6 meters and height 2 meters. The base and height are always perpendicular.
Each triangle mentioned therefore has area base*height/2 = 6*2/2 = 12/2 = 6 square meters. Five such triangles results in a total area of 6*5 = 30 square meters. This is the area of the pentagonal floor.
We'll multiply this area by the height of the pyramid (8 meters) and then take 1/3 of this to get the pyramid's volume
volume = (1/3)*(area of floor)*(height of pyramid)
volume = (1/3)*(30)*(8)
volume = 10*8
volume = 80 cubic meters
a taxi rider must pay 15000 VND for 1km in the first 10km, when exceeding 10km, they will pay them 14000 VND for each subsequent kilometer.Please write the expression to that the user number must be pay on x km (x>10)
Answer:
Số tien:S =150000+(x-10)14000
Step-by-step explanation:
Select the false statement
A. Vertical angles are always congruent
B.Vertical angles are sometimes complimentary
C.Two right angles are always supplementary
D. Angles that form a linear pair are sometimes supplementary. Plz answer ASAP
Answer: D. Angles that form a linear pair are sometimes supplementary.
That is not true, linear pairs are always supplementary.
Answer:
D. Angles that form a linear pair are sometimes supplementary.
~OAmalOHopeO
Help me asap im not good at math
Answer:
[tex] > [/tex]
Step-by-step explanation:
The denominators are the same so, you have to look at the numerator which is greater, - 1 is greater because it's close to 0
2.
Lucy shares 42 marbles between her and her 6 friends. How many does each child?
PLEASE ANSWER WITH ALL THE MATH
Currently, Jacob’s mother is three more than nine times as old as Jacob. In eleven years, his mother will be five more than three times his age. Write a system of linear equations that models this situation. Let j represent Jacob's age, and let m represent his mother's age.
Write an equation that relates Jacob and his mother's current ages. Solve the system of equations.
What are their ages?
9514 1404 393
Answer:
Jacob: 4his mother: 39Step-by-step explanation:
Let J and M represent the current ages of Jacob and his Mother.
currently:
M = 3 +9J
in 11 years:
M+11 = 5 +3(J+11)
Using the first equation to substitute for M in the second, we have ...
(3 +9J) +11 = 5 +3(J +11) . . . . . substitute for M
9J +14 = 3J +38 . . . . . . simplify
6J + 24 . . . . . . . . . . subtract 3J+14
J = 4 . . . . . . . . . . divide by 6
M = 3 +9(4) = 39
Jacob is 4 and his mother is 39.
.help me with the question of math
No link
Answer:
I doubt it is not going to be a great
Step-by-step explanation:
the same time as a child support of the year old girl I don't know what you think about it is not going to
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answer:
y = -2x + 5
[tex]\frac{risex}{run} = slope =[/tex]Δy/Δx = -8/4 = -2
Step-by-step explanation:
at what rate of interest the sum of Rs 4000 amount to rs 6000 in 4 years
interest=4000
amount =6000
time =4yr
principal =6000-4000
=2000
interest=principal×time×rate/100
4000= 2000×4×r/100
4000=8000×r/100
r=8000-4000/100
r=2000/100
r=20
Answer:
12.5 %
Step-by-step explanation:
I = PRT
I is the interest, P is the Principle, R is the Rate and T is the time
The interest is 6000- 4000 = 2000
2000 = 4000* R *4
2000 = 16000R
Divide each side by 16000
2000/16000 = R
.125 = R
Changing to percent form
12.5 %
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Outliers can cause the _________ to be misleading when summarizing a data set.
A. mean
B. interquartile range
C. all of these
D. median
Answer:
A. Mean
Step-by-step explanation:
Mean, because it's the average of the numbers and if one number's way off, it would throw the average off by a lot! I honestly forgot a bit about interquartile ranges, but it doesn't affect the median at all/have a very little effect so that's why it's not all of these. But mean is for sure!
I hope this helped! :D
How to get 14 using four fours
Answer:
14
Step-by-step explanation:
[tex]4 \times (4 - .4) -. 4[/tex]
Choose the inequality that represents the following graph.
Answer:
it's most most probably option d becoz I studied In different way so... as per me d ... figure is quite diff but d
if a = 3 and b=2,find the value of a square+2ab and (a+b)square
Answer:
a^2+2ab = 21
(a+b)^2= 25
Step-by-step explanation:
(a+b)^2 = a^+2ab+b^2
sub a=3 and b=2 and simplify
please help me it for my homework
Answer:
0.45
Step-by-step explanation:
45%
=45÷100
=0.45 is decimal value
Help on this pls if you don’t mind
Answer:
(B) 3
Step-by-step explanation:
Remember that a parallel lines always have the same slope!
Is there a way to solve this without l'hopital's rule?
The conclusion is that the expression [tex]\lim_{x \to \infty} \frac{6 (2^x) - 1}{5x^2+ 10}[/tex] cannot be solved without the l'hopital's rule,
How to solve the limit expression?The limit expression is given as:
[tex]\lim_{x \to \infty} \frac{6 (2^x) - 1}{5x^2+ 10}[/tex]
The limit of the expression cannot be solved without l'hopital's rule, because a direct substitution of ∞ for x would result in the following expression ∞/∞
i.e.
[tex]\lim_{x \to \infty} \frac{6 (2^{\infty}) - 1}{5(\infty)^2+ 10} = \frac{\infty}{\infty}[/tex]
So, the best way is to apply the l'hopital's rule.
This is done as follows:
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \lim_{x \to \infty} \frac{f'(x)}{g'(x)}[/tex]
When the numerator and the denominator are differentiated, we have:
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{3\ln(2)\cdot 2^{x + 1}}{10x}[/tex]
Further, differentiate
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{3\ln^2(2)\cdot 2^{x + 1}}{10}[/tex]
Now, we can substitute [tex]\infty[/tex] for x
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{3\ln^2(2)\cdot 2^{\infty + 1}}{10}[/tex]
Evaluate the numerator
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{\infty}{10}[/tex]
Evaluate the quotient
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \infty[/tex]
Hence, the conclusion is that the expression [tex]\lim_{x \to \infty} \frac{6 (2^x) - 1}{5x^2+ 10}[/tex] cannot be solved without the l'hopital's rule
Read more about l'hopital's rule at:
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What type of line is PQ?
A. angle bisector
B. side bisector
C. altitude
D. median
Answer: Segment PQ is a median
Step-by-step explanation:
A median is a segment whose endpoints are the vertex of a triangle and the midpoint of the opposite side. This means segment PQ has to be a median for it meets the criteria of a median.
The segment PQ is a median.
A median is a segment whose endpoints are the vertex of a triangle and the midpoint of the opposite side.
What is the median?
The median is the middle number in a sorted, ascending, or descending list of numbers and can be more descriptive of that data set than the average.
This means segment PQ has to be a median for it meets the criteria of a median.
To learn more about line visit:
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Which point should Julio use to determine the amount of pizza sauce he needs to bring?
A
B
C
D
On a coordinate plane, a graph titled Pizza Recipe has Pizzas on the x-axis and Cups of Pizza Sauce on the y-axis. Point A is (3, 2), point B is (4, 2.6), point C is (4.5, 3), point D is (6, 4).
Answer:
The question is incomplete, but after a small search I've found that the complete question is something like:
To celebrate something, a teacher will make pizzas for the class.
There are 30 students in his class and each pizza serves 8
Julio will bring the pizza sauce. Which point should Julio use to determine the amount of pizza sauce he needs to bring?
In a graph, the vertical axis is represented with the variable y, which is defined as the dependent variable, while the horizontal axis represents the variable x, which is the independent variable.
The notation for a point in that graph is (x, y)
Here, we know that the x-axis represents the number of pizzas, and the y-axis represents the number of cups of pizza sauce needed for the x pizzas.
So, for example, the point (3, 2) means that:
for x = 3 pizzas, you need y = 2 cups of pizza sauce.
So, now let's find the number of pizzas that will feed the whole class.
There are 30 students, Each pizza serves for 8.
Then the number of pizzas needed is:
30/8 = 3.75 pizzas.
But we can round it to 4 pizzas because making a 0.75 of a pizza does not make a lot of sense.
Then we could use point B, which is (4, 2.6)
This means that, for 4 pizzas, they need 2.6 cups of pizza sauce.
So Julio should bring 2.6 cups of pizza sauce.
Which point should Julio use to determine the amount of pizza sauce he needs to bring?
(B 4,26)
Please help me with these two Algebra problem. Thanks
Problem 1:
If two half planes never intersect, then their system of inequalities has no solution. True or False?
Problem 2:
If the boundary lines of two half planes are parallel, then they have no solution area. True or False?
Please answer as quick as possible and please answer as
Example:
True, because . . . .
Thanks again!!
Step-by-step explanation:
First, a half plane can be defined as one side of a line, e.g. x < y-3.
1: True. A solution to two half planes is where the two half planes intersect. If they never intersect, then there literally cannot be a solution.
2: False. Take, for example, y=x and y=x+1. These two lines are parallel because in the equation y=mx+b, m represents the slope, and in these two lines, x is multiplied by 1, so both lines have the same slope and are therefore parallel. Then, take two boundary planes -- y > x and y>x+1. If we graph this out (see picture), the planes clearly intersect when y>x+1. The solution is where the planes intersect, so there is a solution area
Solve for x in each of the following equations.
A)
X + 2 = 8
B)
- 5 - 4x = -21
C)
13 + 5x = 34 + 2x
Answer:
Step-by-step explanation:
a) x=6 (x= 8-2)
b) x=4 ( 4x=21-5=16 -> x=4
c) x=7 (3x=34-13=21 -> x=7)
Maya express charges 15 dollar for each person and great holiday charges fixed 84dollar and extra 12 dollar for a person. If the total amount charged by each company is same find the number of people going on holiday
Step-by-step explanation:
15 dollar for each
15*70*12
then 84*70
total amount. the above
Answer:
:>
Step-by-step explanation:
15 dollar for each
15*70*12
then 84*70
total amount. the above
write as an inequality 9 is greater than or equal to w, and -7 is less than or equal to w
[tex]9 \geqslant w \\ \\ - 7 \leqslant w[/tex]
"9 is greater than or equal to w" translates to [tex]9 \ge w[/tex] which flips to [tex]w \le 9[/tex]. We swap both sides and flip the inequality sign as well.
"-7 is less than or equal to w" translates to [tex]-7 \le w[/tex]
We have [tex]-7 \le w[/tex] and [tex]w \le 9[/tex] which then ultimately combine into the compound inequality [tex]-7 \le w \le 9[/tex]
Final Answer: [tex]-7 \le w \le 9[/tex]Find a 101 of the sequence 5, 8, 11, ....
A. 302
B. 311
C. 305
D. 308
Answer:
305
Step-by-step explanation:
We are adding 3 each time
5+3 = 8
8+3 = 11
The formula for an arithmetic sequence is
an = a1+d(n-1) where a1 is the first term and d is the common difference
an = 5+3(n-1)
We want the 101 term
a101 = 5 +3(101-1)
= 5+3(100)
= 5+300
= 305
Find the value of x.
Answer:
52°
Step-by-step explanation:
64×2=128
360-128=232
so,
x=(232-128)/2
or, x=104/2
or, x=52°
5. In figure 2.9, line AB || line CD and line PQ is transversal. Measure of one of the angles is given Hence find the measures of the following angles (1) LART (ii) ZCTO (iii) ZDTO (iv) ZPRB
Two consecutive even whole numbers have a product of 360. What is the smaller of the
two numbers
59,8x60,2 bằng bao nhiêu ạ
Answer:
3,6
Step-by-step explanation: