Step-by-step explanation:
-16(2)<4x(2)-x/2(2)
-32<8x-x
-32<7x
-32/7<7x/7
-32/7<x
-4.5714285714285714<x
~-4.56<x
So after drawing the number line, indicate it starting from negative 4.6 and pointing the arrow towards the right. Do not shade
Select the correct answer. Which expression is equivalent to 8x^2^3 sqrt 375x + 2^3 sqrt 3x^7, if x=0?
Answer:
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =28x^3\sqrt{3x}[/tex]
Step-by-step explanation:
The question is poorly formatted. The original question is:
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7[/tex]
We have:
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7[/tex]
Open bracket
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(8^ \frac{2}{3} *x^{3* \frac{2}{3}}) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(8^ \frac{2}{3} *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]
Express 8 as 2^3
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(2^{3* \frac{2}{3}} *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(2^2 *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =4x^2 \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]
Express 2^3 as 8
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{75x^3} + 8\sqrt{ 3x^7}[/tex]
Expand each exponent
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{25x^2 *3x} + 8\sqrt{ 3x * x^6}[/tex]
Split
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{25x^2} *\sqrt{3x} + 8\sqrt{3x} * \sqrt{x^6}[/tex]
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =4x^2 *5x *\sqrt{3x} + 8\sqrt{3x} * x^3[/tex]
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =20x^3\sqrt{3x} + 8x^3\sqrt{3x}[/tex]
Factorize
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =28x^3\sqrt{3x}[/tex]
Answer:
42x^2 ^3 square root 3x
Step-by-step explanation:
i got it right
What single decimal multiplier would you use to increase by 5% followed by a 20% increase?
Answer:
The desired single multiplier is 1.26.
Step-by-step explanation:
A 5% increase results in the original amount PLUS 5% of the original amount:
1.05(original amount)
If a 20% increase follows, we must multiply the above 1.05(original amount) by 1.20:
1.20(1.05)(original amount), or (after multiplying), 1.26.
The desired single multiplier is 1.26.
A car collection has ¼ black cars, ⅝ red cars ond 7 white cars. Draw model of the car collection?
answer below.
mark me brainlist
Answer:
Step-by-step explanation: Let the total no of cars in the collection be X
Number of black cars = (1/4)X
Number of red cars = (5/8)X
Number of white cars= 7
Summation of all the cars,
(1/4)X + (5/8)X + 7 = X
X= 56
Therefore,
Number of black cars = (1/4) of 56 = 14
Number of red cars = (5/8) of 56 = 35
Number of white cars = 7
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
-7/45
-4/15+1/9 (two negatives make a plus or addition)
least common multiple of 15 and 9 = 45
45 is the denominator
15*3=45 , 9*5 = 45
-4*3 = -12 ,1*5 = 5
-12+5 = -7/45
Answer:
-7/45
Step-by-step explanation:
find lowest common denominator: 45 (9 x 5 = 45, 15 x 3 = 45)
[tex]-\frac{4}{15} = \frac{(4*3)}{(15*3)} =-12/45\\\\\frac{1}{9}=\frac{(1*5)}{(9*5)} =5/45[/tex]
subtracting a negative = addition
[tex]-\frac{12}{45} +\frac{5}{45}\\\\=\frac{-12+5}{45} \\\\=-\frac{7}{45}[/tex]
(50 points) A diameter of a circle has endpoints P(-10, -2) and Q(4,6)
A. Find the center of the circle
B. Find the radius. if your answer is not an integer, express it in radical form.
C. Write an equation for the circle
Answer:
Step-by-step explanation:
The center of the circle is the midpoint of the two end points of the diameter.
Formula
Center = (x2 + x1)/2 , (y2 + y1)/2
Givens
x2 = 4
x1 = - 10
y2 = 6
y1 = - 2
Solution
Center = (4 - 10)/2, (6 - 2)/2
Center = -6/2 , 4/2
Center = - 3 , 2
So far what you have is
(x+3)^2 + (y - 2)^2 = r^2
Now you have to find the radius.
You can use either of the endpoints to find the radius.
find the distance from (4,6) to (-3,2)
r^2 = ( (x2 - x1)^2 + (y2 - y1)^2 )
x2 = 4
x1 = -3
y2 = 6
y1 = 2
r^2 = ( (4 - -3)^2 + (6 - 2)^2 )
r^2 = ( (7)^2 + 4^2)
r^2 = ( 49 + 16)
r^2 = 65
Ultimate formula is
(x+3)^2 + (y - 2)^2 = 65
The radius is √65 = 8.06
Which represents the solution(s) of the system of equations, y = x2 – 2x – 15 and y = 8x - 40? Determine the solution set algebraically. O (-5, -80) (5,0) O (5,0) and (-5, -80) O no solutions
Answer:
(5, 0)
Step-by-step explanation:
Se the equations equal
x² - 2x - 15 = 8x - 40
Subtract 8x from both sides
x² - 10x - 15 = -40
add 40 to both sides
x² - 10x + 25 = 0
Factor
(x - 5)(x - 5) = 0
x = 5
---------------
plug in x = 5 into
y = 8x - 40
y = 8(5)- 40
y = 0
-----------------
Solution
(5, 0)
The slope of line j is 2 and j || K. What is the slope of line k?
X+3y=6 2x+8y=-12 Solve silmatenous equations
Answer:
[tex]x + 3y = 6 - - - (a) \\ 2x + 8y = - 12 - - - (b) \\ 2 \times (a) - (b) : \\ 0x - 2y = 24 \\ y = 12 \\ x + (3 \times - 12) = 6 \\ x = 42 \\ { \boxed{x = 42}} \\ { \boxed{y = 12}}[/tex]
A and B are 2 cylinders that are mathematically similar the area of the cross section for cylinder A is 18cm squared. find out the volume of cylinder b
Answer:
Volume of cylinder B = 720 cm³
Step-by-step explanation:
Given:
A and B are similar cylinder
Height of cylinder B = 10 cm
Height of cylinder A = 5 cm
Area of the cross section for cylinder A = 18 cm²
Find:
Volume of cylinder B
Computation:
Area of the cross section for cylinder B = a
So,
(10/5)² = (a/18)
4 = a/18
Area of the cross section for cylinder B = 72 cm²
Volume of cylinder B = Area of the cross section for cylinder B x Height of cylinder B
Volume of cylinder B = 72 x 10
Volume of cylinder B = 720 cm³
The owner of a smoothie company wants to rent a kiosk in the new mall. He is choosing between two spaces. Both have floor plans shaped like parallelograms. The first space is 12 feet wide and 16 feet long. The second space is 13 feet wide and 15 feet long. Which is the larger space? Explain.
Answer:
The second space (13 feet wide & 15 feet long) is the larger space.
Step-by-step explanation:
According to the question,
Given, The owner of a smoothie company wants to rent a kiosk in the new mall. He is choosing between two spaces. Both have floor plans shaped like parallelograms. The first space is 12 feet wide & 16 feet long ( Rectangle, A Type of Parallelogram).Thus, The Area Of Rectangle = Length x Width ⇒ 12 × 16 ⇔ 192 Feet² .
The second space is 13 feet wide & 15 feet long( Rectangle, A Type of Parallelogram) .Thus, The Area Of Rectangle = Length x Width ⇒ 13 × 15 ⇔ 195 Feet² . Hence it is Clearly Shown here the The second space (13 feet wide & 15 feet long) is the larger space .
I will give u brainliest and 5 star and thanks if its correct
Answer:
The answer is D.5(9a-2b)
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
5x9a -5x2b= 45a - 10b
so that is the answer
2x10+3a=59 What is a?
answer is :59/3-2x^10/3
Step-by-step explanation:
It didn't really give a question
Answer:
x=58 degree
Step-by-step explanation:
angle AGF +32 =90 degree (being perpendicular)
angle AGF =90-32
angle AGF =58 degree
angle x =angle AGF (being vertically opposite angles)
x=58 degree
Answer: It is asking for the answer to angle x, which is 68 degrees
resuelve la siguiente ecuación polinómica
Answer:
This question cannot be solved.
Step-by-step explanation:
because they have different
Two angle in a triangle equal 120°. What is the measure of the third angle?
a) 60°
b) 70°
c) 80°
d) 90°
e) 120°
Answer:
a) 60, because in every triangle, the angles always add up to 180. there are three angles in a triangle, and you k is two add to 120, so of you and 60 to 120 you get 180
simplify
−3.2(2x − 2.1)
triangles ABE, ADE, and CBE are shown on the cordinate grid, and all the verticals have coordinates that are integers
pls help me i need help asap 30!! points pls help on all 4 questions
Answer:
b
d
a
d
Step-by-step explanation:
help me plzzzzzzzzzzz
Answer:
Top row, third one from left to right
Step-by-step explanation:
Use test points:
when x = 0 , y = 2(0) - 4 = 0 - 4 = -4
(0, -4)
when y = 0, 0 = 2x - 4, 4 = 2x, 2 = x
(2, 0)
Top row, third one from left to right
What is the definition of exponential growth?
Any help out there
Answer:
Exponential growth is a process that increases quantity over time. It occurs when the instantaneous rate of change of a quantity with respect to time is proportional to the quantity itself.
Answer:
The answer is probably B. If not it might be C.
Step-by-step explanation:
Exponential growth is growth that becomes more and more rapid. I hope this helps :).
reverse percentage problem
answer: you're missing the problem
Help please! the question is in the picture below for reference when answering! thank you so much!
Answer:
x = -1
Step-by-step explanation:
AB + BC = AC = 28
the way from A to C goes through B.
so, the total way of A to C is the sum of the way from A to B and then from B to C.
=>
(5x + 10) + (2x + 25) = 28
7x + 35 = 28
7x = -7
x = -1
Answer:
x = -1
Step-by-step explanation:
5x + 2x + 10 + 25 = 28
7x + 35 = 28
7x = -7
x = -1
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Subtract the
rational
7 - 12
Answer:
-5
Step-by-step explanation:
12-7=5
7-12=-5
If this helps please mark as brainliest
Arithmetic
7-12
Meaning, 12 less than 7.
7-12=-5
Find the value of x.
Answer:
Step-by-step explanation:
This is a right triangle; so you can use the Pythagorean Theorem ([tex]a^2 + b^2 = c^2[/tex]), where a and b are the lengths of the legs and c is the hypotenuse.
You get: [tex]5^2 + 12^2 = c^2[/tex]
Simplify the expression: [tex]25 + 144 = c^2[/tex]
Combine like terms: [tex]169 = c^2[/tex]
Take the square root of both sides: [tex]\sqrt{169} = \sqrt{c^2}[/tex]
Evaluate: 13 = c
So the answer is letter c ... x = 13
A van can travel 18 miles on each gallon of gasoline. At that rate, how many miles can the van travel on 15 gallons of gasoline?
A. 33 miles
B. 83 miles
C. 120 miles
D. 270 miles
Answer:
270
Step-by-step explanation:
you would do 18x15
Daisy's mom is 4 times as old as she.The sum of their ages 6 years ago was 28.How is her mother now?
Answer:
32
Step-by-step explanation:
Daisy's mom is 4 times as old as she.
m = 4d
The sum of their ages 6 years ago was 28.
(m - 6) + (d - 6) = 28
Substitute for m = 4d
(4d - 6) + (d - 6) = 28
Combine like terms
5d - 12 = 28
5d = 40
Divide by 5
d = 8
m = 4d
m = 4 * 8
m = 32
Which of the following show the Associative Property of Addition? 3(6 + 10) = 3 • 6 + 3 • 10 3 – (6 + 10) = (3 – 6) + 10 3 • (6 • 10) = (3 • 6) • 10 3 + (6 + 10) = (3 + 6) + 10
Answer:
The answer is 47
Step-by-step explanation:
Suppose that the monthly salary can be modeled by the function p(x) = 20,000 + 50x. In the formula, 20,000 represents the base salary, and the person gets an additional $50 for every sale. The variable x represents the number of sales. How many items does the salesperson need to sell to earn $30,000?
Answer:
$50 is the earned for every sales
$30000 is earned for 30000/50=600
He has to made 600 sales to earn 30000
Find two numbers whose difference is 10 and whose product is a minimum.
Answer:
Answer: {-5, 5}. Product is -25, which is the minimum.
Step-by-step explanation:
let a, b denote the two numbers. We know that b-a=10.
We are looking for a minimum over the product a*b.
One can minimize this using derivatives. In case you have not yet had derivatives, you can also use the vertex of a parabola (since the above is a quadratic form):
The minimum is at the vertex a=-5 and so b=5
Their distance is 10, and their product attains the minimum value of all possiblities -25.
Answer:
Step-by-step explanation:
let the numbers be x and y,let y>x
y-x=10
y=x+10
product P=xy=x(x+10)=x²+10x
[tex]\frac{dP}{dx} =2x+10\\\frac{dP}{dx} =0,gives\\2x+10=0\\2x=-10\\x=-5\\\frac{d^2P}{dx^2} =2>0 ~at~x=-5\\[/tex]
∴P is minimum at x=-5
y=x+10=-5+10=5
numbers are -5,5
Work out the size of angle X