Answer:
-110 = -2^1×5^1×11^1
Step-by-step explanation:
Factor the following integer:
-110
Hint: | Is 110 divisible by 2?
The last digit of 110 is 0, which means it is even. Therefore 110 is divisible by 2:
110 = 2 55:
-110 = -2×55
Hint: | Now try to factor 55. Is 55 divisible by 2?
55 is not divisible by 2 since 55 is odd and 2 is even:
-110 = -2×55 (55 is not divisible by 2)
Hint: | Is 55 divisible by 3?
The sum of the digits of 55 is 5 + 5 = 10, which is not divisible by 3. This means 55 is not divisible by 3:
-110 = -2×55 (55 is not divisible by 2 or 3)
Hint: | Is 55 divisible by 5?
The last digit of 55 is 5, which means 55 is divisible by 5:
55 = 5 11:
-110 = -2×5×11 (11 is not divisible by 2 or 3 since 55 is not)
Hint: | Now try to factor 11. Is 11 divisible by 5?
The last digit of 11 is not 5 or 0, which means 11 is not divisible by 5:
-110 = -2×5×11 (11 is not divisible by 2, 3 or 5)
Hint: | Is 11 divisible by 7?
Divide 7 into 11:
| | 1 | (quotient)
7 | 1 | 1 |
- | | 7 |
| | 4 | (remainder)
11 is not divisible by 7:
-110 = -2×5×11 (11 is not divisible by 2, 3, 5 or 7)
Hint: | Is 11 prime?
No primes less than 11 divide into it. Therefore 11 is prime:
-110 = -2×5×11
Hint: | Express -110 as a product of prime powers.
There is 1 copy of 2, 1 copy of 5 and 1 copy of 11 in the product:
Answer: -110 = -2^1×5^1×11^1
combine the like terms
1.4b-[tex]3b^{2}[/tex]+4c-[tex]2b^{2}[/tex]+c
Answer:
If your asking us to just combine like terms it would be -3b^2-2b^2+1.4b+4c+c
but if your asking us to answer the question it would be -5b^2+1.4b+5c
Hope I helped :)
Gary says that 3 - 1 1/3 will be more than 2, since 3 – 1 is 2. Draw a picture to prove that Gary is wrong.
Answer:
It makes 5/3 it is less than two!
Step-by-step explanation:
Topic: Fractions and Mixed Numbers
You have to remember the concept of fractions, let's represent by cake diagrams, it says that Gary says that 3, let's say it's 3 cakes, as the fractions are represented in terms of thirds, let's draw the cakes each one divided in 3.
and the statement says that taking away 1 and 1/3 it will make more than 2.
As you can see in the picture below, we take away 1 cake and we will take away another third of a second cake represented by the brown region of the cakes. it means that the yellow region is what's left after taking the 1 and 1/3. as you can see it doesn't make two, makes less than two exactly 5/3.
PS: Try and do it mathematically now!
Put these numbers in order from least to greatest
1.82, 1.6, 1 4/5
Answer:
1.6, 1 4/5 (1.8), 1.82
Step-by-step explanation:
Answer:
1.6;1 4/5;1.82
How many real solutions does the function shown on the graph have?
No real solutions
One real solution
Two real solutions
Cannot be determined
Answer:
0 because it doesn't cross the x-axis
Step-by-step explanation:
Interpreting the graph, it is found that the function has no real solutions.
The number of different real solutions that a function has is given by the number of times it crosses the x-axis(also known as the horizontal axis) on the graph.
In this problem, the function never crosses the x-axis, thus, it has zero real solutions.
A similar problem, in which the real solutions are taken from a graph, is given at https://brainly.com/question/16349072
at 8 a.m. the temperature was -14 degrees by noon the tempature was 12 degrees. Find the change did it rise or drop?
Subtraction fraction answer for 13 3/16 Subtract 2 1/4
Answer:
10.9
Step-by-step explanation:
So you add or subtract the number, leaving the bottom number the same and then simplify if you need to.
At a stock exchange there were a total of 10,000 shares sold in one day. Stock A had four times as many
shares sold as Stock B. The number of shares sold for Stock C was equal to the sum of the numbers of
shares sold for Stock A and Stock B. How many shares of each stock were sold?
shares of Stock A were sold,
were sold.
shares of Stock B were sold, and
shares of Stock
What’s the answer
Answer:
Share sold by Stock A = 4000, Stock B = 1000 and Stock C = 5000
Step-by-step explanation:
Total sold sold = 10000
i.e. [tex]A + B + C = 10000[/tex] ....(1)
Shares sold by stock A = 4 × Shares sold by stock B
i.e. [tex]A = 4B[/tex] ....(2)
Shares sold by stock C = Shares sold by stock A + Shares sold by stock B
i.e. [tex]C = A + B[/tex] ....(3)
substituting value of [tex]A[/tex] from (2) in (3) we get
[tex]C = 4B + B = 5B[/tex] ....(4)
substituting value of [tex]A[/tex] and [tex]C[/tex] from (2) and (4) in (1) we get
[tex]4B + B + 5B = 10000\\10B = 10000\\B = 1000[/tex]
[tex]A = 4B = 4*1000 = 4000[/tex]
[tex]C = 5B = 5*1000 = 5000[/tex]
Is this statement true or false?
According to the graph, during periods of recession, the number of people in poverty increases.
True
False
Answer: The Statement is true
Step-by-step explanation: the lines in the graph are constantly parallel to each other, showing that when one increases, so does the other
Answer:
The given statement is true.
Step-by-step explanation:
We are given the following graph in the picture:
On the x-axis years are shown from 1959 to 2005.
The y axis shows the poverty rate and the number of people in poverty.
The blue strips in the graph are the recession time.
Now, for each blue strip, we could see the line for poverty rate and the number of people in poverty increases. There is an upward trend in the line in the blue strip.
In other words we could say that the slope increases for all the blue strips which actually represents that the number of people in poverty increases in recession.
Thus, the given statement is true.
Write two inequalities using a number pairs using the symbols < or >
5 and -11
Answer:
5 <-11
Step-by-step explanation:
5 is greater than -11
6
5
4
3
2
1
0
-1
-2
-3
-5
-6
-7
-8
-9
-10
-11
The inequalities created from the number pair 5 and -11 are '5 > -11' and '-11 < 5'. These represent that 5 is greater than -11 and that -11 is less than 5.
Explanation:To write two inequalities using the number pairs 5 and -11 with the symbols < and >, we consider the numeric value and sign of the numbers. We know that any positive number is always greater than a negative number. This gives us the first inequality: 5 > -11
Now, if we want to write an inequality using <, then we swap the order of numbers. Thus: -11 < 5
These statements tell us that 5 is greater than -11 and -11 is less than 5, which demonstrates how to use < and > inequalities with numbers.
Learn more about Inequalities here:https://brainly.com/question/32625151
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Which point is not on the graph of the function y = x + 5?
(2, 7)
(6, 11)
(220, 225)
(10, 5)
Answer:
(10, 5 )
Step-by-step explanation:
To determine which points lie on the graph or not.
Substitute the x- coordinate of the point into the equation and if the value agrees with the y- coordinate of the point then the point is on the graph.
(2, 7 )
y = 2 + 5 = 7 ← True thus point is on the graph
(6, 11 )
y = 6 + 5 = 11 ← True thus point is on the graph
(220, 225 )
y = 220 + 5 = 225 ← True thus point is on the graph
(10, 5 )
y = 10 + 5 = 15 ≠ 5 ← Point is not on the graph
emade
There are 666 students
going to a trivia
competition. If each school
van can hold 6 students,
how many vans will they
need?
Answer:
666 divided by 6 is 111. So, they would need 111 vans.
Hello need it asap I will give you 5 star for all answer
Answer:x f(x) = 2.5x − 10.5 g(x) = 64(0.5x)
2 f(2) = 2.5(2) - 10.5 g(2) = 64(0.5*2)
f(2) = 5 - 10.5 g(2) = 64(1)
f(2) = -5.5 g(2) = 64
3 f(3) = 2.5(3) - 10.5 g(3) = 64(0.5*3)
f(3) = 7.5 - 10.5 g(3) = 64(1.5)
f(3) = -3 g(3) = 96
4 f(4) = 2.5(4) - 10.5 g(4) = 64(0.5*4)
f(4) = 10 - 10.5 g(4) = 64(2)
f(4) = -0.5 g(4) = 128
5 f(5) = 2.5(5) - 10.5 g(5) = 64(0.5*5)
f(5) = 12.5 - 10.5 g(5) = 64(2.5)
f(5) = 2 g(5) = 160
6 f(6) = 2.5(6) - 10.5 g(6) = 64(0.5*6)
f(6) = 15 - 10.5 g(6) = 64(3)
f(6) = 4.5 g(6) = 192
Find the percent of each number.
1. 32% of 60 =
Answer:
Step-by-step explanation:
Answer:
19.2
Step-by-step explanation:
What is 9/45 simplified
Answer:
5
Step-by-step explanation:
[tex]\text{Hello there!}\\\\\text{We are simplifying the fraction:}\,\frac{9}{45}\\\\\text{Both 9 and 45 is divisible by 9, so we'll divide both sides by 9}\\\\\text{Divide:}\\\\\frac{9\div9}{45\div9}=\frac{1}{5}\\\\\boxed{\text{Answer:}\frac{1}{5}}}[/tex]
This equation graphed is?
Graph the following points:
(-2, -3)
(-1, -2)
(0, -1)
(1, cuberoot{2} -2}
(7, 0)
3x² -2 = ab
express x as the subject of formula
Answer:
x = ± [tex]\sqrt{\frac{ab+2}{3} }[/tex]
Step-by-step explanation:
Given
3x² - 2 = ab ( isolate the x² term by adding 2 to both sides )
3x² = ab + 2 ( divide both sides by 3 )
x² = [tex]\sqrt{\frac{ab+2}{3} }[/tex] ( take the square root of both sides )
x = ± [tex]\sqrt{\frac{ab+2}{3} }[/tex]
Answer:
x = √ [(ab + 2)/ 3]
Step-by-step explanation:
3x^2 - 2 = ab
3x^2 = ab + 2
x^2 = (ab + 2)/ 3
x = √ [(ab + 2)/ 3]
About how much does the plant grow?
4
2 1/2
3
2
Hey!
------------------------------------------------
[tex]\large\boxed{The~plant~grew~2\frac{1}{2}~feet!}[/tex]
------------------------------------------------
Steps To Solve:
~Find common denominators
6/7 = 54/63
2/9 = 14/63
~Turn into improper fractions
1 54/63 = 117/63
4 14/63 = 266/63
~Subtract.
266/63 - 117/63 = 149/63
~Turn into mixed number
149/63 = 2 23/63
~Round
2 23/63 ≈ 2 1/2
Answer:
2 1/2
Step-by-step explanation:
because 4 2/9 － 1 6/7 equal to 2 half which equal to 2 1/2
What is negative 5 5/6–2 3/5
Answer:
the answer is -8 13/30
Step-by-step explanation:
How many times greater is 1 kilogram than 1 microgram?
A. 10^9
B. 10^-9
C. 1/10^9
D. 10^8
Final answer:
1 kilogram is 10^9 times greater than 1 microgram because 1 kg equals 1000 grams, and there are 10⁶ micrograms in a gram, equating to 10⁹ µg/kg.So,option A.10⁹ is correct.
Explanation:
To determine how many times greater 1 kilogram is than 1 microgram, we need to understand the metric prefixes and their corresponding values. Knowing that 'micro' denotes 10⁻⁶, we can establish that 1 microgram (µg) equals 10⁻⁶grams (g). Since 1 kilogram (kg) equals 1000 grams, we then convert kilograms to micrograms by multiplying by 10⁶:
1 kg = 1000 g x 10⁶ µg/g = 10⁹ µg.
Thus, 1 kilogram is 10⁹ times greater than 1 microgram, which corresponds to option A.
Raymond buys bottles of water at 2 dollars each and a large pizza at 13 dollars. The total costar 21 dollars. How many bottles of water did Raymond buy?
Answer:
4
Step-by-step explanation:
$21-$13=$8
$8÷$2=4 bottles
What is the limit of the function?
limx→∞f(x)=−4x^9−3x^3+2x−11
[tex]\bf \lim\limits_{x\to \infty}~-4x^9-3x^3+2x-11 \\\\\\ \lim\limits_{x\to \infty}~-4x^9~~+~~\lim\limits_{x\to \infty}~-3x^3~~+~~\lim\limits_{x\to \infty}~2x~~+~~\lim\limits_{x\to \infty}~-11[/tex]
for any positive value of "x" as it races off towards ∞, our first limit of -4x⁹ will give us a rather large negative value, our second limit of -3x³ will also give us a large negative value and both will combine to produce an even larger negative value.
our third limit of 2x will give us a positive value, however a much smaller than its previous siblings, and our last limit is just a fixed of -11, not moving at all.
since the negative values are moving faster than the positive ones, and thus overwhelming the positive ones, the limit will increasingly be racing towards -∞.
The limit of the function, [tex]\lim_{n \to \infty} f(x)= -4x^2 - 3x^3+2x - 11[/tex] is - ∞.
Here, given function is,
f(x)=−4x^9−3x^3+2x−11
We have to find the value of [tex]\lim_{n \to \infty} f(x)= -4x^2 - 3x^3+2x - 11[/tex].
What is limit of function?
Limit of function means the value towards which a function moves when the value of independent variable moves to infinity.
Now,
[tex]\lim_{n \to \infty} f(x)= -4x^2 - 3x^3+2x - 11[/tex]
[tex]\lim_{n \to \infty} f(x)= \lim_{n \to \infty} (-4x^2) - \lim_{n \to \infty} (3x^3) + \lim_{n \to \infty} 2x - \lim_{n \to \infty} 11[/tex]
[tex]\lim_{n \to \infty} f(x)= -[/tex]∞
Here, limit of [tex]-4x^{2}[/tex] is -∞, limit of [tex]-3x^{3}[/tex] is -∞ and limit of 2x is ∞.
For any positive value of x as it races off towards ∞ but here we find the limits as, -∞.
Since the negative values are moving faster than positive.
Hence, the limit will be towards -∞.
Learn more about the limit visit:
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Create a set of numbers with five different values that have a mean of 50.
Answer 15 20 10 2.5 7.5
Q. Saline IV fluid bags cost $64.20 for 24, 1000 ml bags from one supplier. A new supplier sells 500 ml bags for $2 each
The hospital uses about 10,000, 1000 ml bags each month. Nurses report that about half of the bags are more than half
full when they are discarded. If you are going to use only one supplier, which size bag provides the best deal, and how
much will you save each month? Compare the cost of the new supplier to the current one.
Answer:
The 1000 ml bags, over $3000
Step-by-step explanation:
First, determine how many bags you need from each vendor. Then find the cost per bag with each vendor. Remember, the bags are reported to be only half full when discarded, therefore you need the equivalent of 5,000 1,000 ml bags and 5,000 500ml bags.
Answer:100ml bag is 3000
Step-by-step explanation:
Solve the system of equations. y = x ^ 2 - 3x + 6 y = 2x + 6
Answer:
the answer is A.
Step-by-step explanation:
The values of the system of equations y=[tex]x^{2}[/tex]-3x+6, y=2x+6 is (0,6),(5,16).
What is equation?Equation is relationship between two or more variables that are expressed in equal to form.Equations of two variables look like ax+by=c.It may be linear equation, quadratic equation,cubic equation.
How to solve the equation?We have been given two equations as y=[tex]x^{2}[/tex]-3x+6 and y=2x+6 and we are required to solve the equations for the value of x.
Putting the value of y from second equation in first equation.
2x+6=[tex]x^{2}[/tex]-3x+6
Cancellng 6 from both sides.
[tex]x^{2}[/tex]-5x=0
x(x-5)=0
x=0,x-5=0
x=0,x=5
Putting the values of x in second equation to get the value of y.
y=2x+6
y=2(5)+6
=10+6
y=16
y=2x+6
y=2*0+6
=6
Points will be (0,6),(5,16).
Hence the values of the system of equations y=[tex]x^{2}[/tex]-3x+6, y=2x+6 is (0,6),(5,16).
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Maria gave the casheir $50.00 to pay for three shirts. The casheir gave her back $8.75 in change. Each shirt cost the same amount. What is the cost in dollars and cents for each shirt?
Answer:
$13.75
Step-by-step explanation:
First figure out how much she paid, by taking the change from the $50
50 - 8.75 = 41.25
She paid $41.25 dollars on three tee-shirts.
Now take how much she spent and divide it on the number of items (tee-shirts) to figure how much each one cost.
41.25 divided by 3 = 13.75
$13.75
Each Tee-shirt cost $13.75
Final answer:
To find the cost of each shirt, subtract the change given from the total amount paid and then divide by the number of shirts purchased.
Explanation:
In this scenario, Maria paid $50.00 for three shirts and received $8.75 in change. To find the cost of each shirt, we subtract the change from the total amount she gave. $50.00 - $8.75 = $41.25. Since she bought three shirts, we divide $41.25 by 3 to find the cost of each shirt. The cost of each shirt is $13.75.
what values of y will make the expression true? 10 - y = y - 10
Answer:
y = 10
Step-by-step explanation:
Given
10 - y = y - 10 ( subtract y from both sides )
10 - 2y = - 10 ( subtract 10 from both sides )
- 2y = - 20 ( divide both sides by - 2 )
y = 10
Find the distance between (3,4) and (-5,7)
Answer:
(x+7, y-3)
Step-by-step explanation:
7 units to the right and 3 units down
If a flagpole that is 20 feet tall casts a 6 foot
shadow, how long a shadow would a building that
is 15 feet tall cast at the same time of day?
Answer:
4.5 foot shadow
Step-by-step explanation:
By looking at this you can make a ratio that very every 5 feet there is a 1.5 foot shadow.
So 1.5 x 3 = 4.5 foot shadow
(Very sorry If it is incorrect Good luck!)
The hypotenuse of a right triangle is 13 inches. If the long leg is 7 inches longer than the short leg, find the lengths of the leg using the Pythagorean theorem
Answer:
The length of the short leg is 5 inches and the leg of the long leg is 12 inches
Step-by-step explanation:
Let
a -----> the long leg of a right triangle
b ----> the short leg of a right triangle
c ----> the hypotenuse of a right triangle
we know that
Applying the Pythagoras Theorem
[tex]c^{2} =a^{2}+b^{2}[/tex] -----> equation A
we have that
[tex]a=b+7[/tex] -----> equation B
[tex]c=13\ in[/tex] ----> equation C
Substitute equation B and equation C in equation A and solve for b
[tex]13^{2} =(b+7)^{2}+b^{2}[/tex]
[tex]169=b^2+14b+49+b^2[/tex]
[tex]2b^2+14b+49-169=0[/tex]
[tex]2b^2+14b-120=0[/tex]
Solve the quadratic equation by graphing
The solution is [tex]b=5\ in[/tex]
see the attached figure
Find the value of a
[tex]a=b+7[/tex] ----> [tex]a=5+7=12\ in[/tex]
therefore
The length of the short leg is 5 inches and the leg of the long leg is 12 inches
The lengths of the leg : 12 and 5
Further explanationQuadratic function is a function that has the term x²
The quadratic function forms a parabolic curve
The general formula is
[tex]\large {\boxed {\bold {f (x) = ax ^ 2 + bx + c}}}[/tex]
where a, b, and c are real numbers and a ≠ 0.
There are 3 ways to solve quadratic equations
a. factoring b. perfect squared c. quadratic formula
We use the factoring method
Quadratic equation x² + bx + c = 0 is equivalent to quadratic equation
[tex]{\displaystyle {x ^ 2 + (p + q) \times \: pq}}[/tex]
where p + q = b and px q = c
for a = 1, the result of factoring is (x + p) (x + q)
If at an angle there is an angle of 90 degrees, this triangle is said to be a right angle
There is a hypotenuse in this triangle which is the sum of the two sides
c² = a² + b²where c = hypotenuse
This formula is known as the Pythagorean theorem which states that:
the hypotenuse or the longest side in a right triangle equal to the sum of the squares of the other sides.
The hypotenuse of a right triangle is 13 inches
then c = 13
If the long leg is 7 inches longer than the short legthen a = b + 7
Then the phytagorean equation becomes:
(b + 7)² + b² = 13²
49+14b+b²+b²=169
49+14b+2b²=169
2b²+14b-120=0
b²+7b-60=0
factoring
(b-5)(b+12)=0
b=5 or b=-12
we use positive number ⇒5
So :
the long leg = b+7=5+7=12
the short leg = b = 5
Learn more
the triangle angle
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Prove the converse of the Pythagorean Theorem
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Use Pythagoras' theorem
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Keywords : Pythagorean Theorem , hypotenuse, the long leg
Round your answers to the nearest whole number.
The fasted train in the world can travel 300 feet per second. How fast is this in miles per hour?
(1 mile = 5280 feet)
Answer:
205 miles per hour.
Step-by-step explanation:
1 mile = 5280 feet so:
300 ft / second = 300/ 5280 miles/second.
There are 3600 seconds in an hour so
this converts to 300 * 3600 / 5280 miles per hour
= 204.55 miles per hour.
Hey!
-----------------------------------------------
Solution:
Let's use dimensional analysis!
[tex]= \frac{1mi}{5280ft} * \frac{3600}{1hr} * \frac{300ft}{1sec}[/tex]
[tex]= \frac{1,080,000}{5,280}[/tex]
[tex]= 204.454545...[/tex]
[tex]= 205[/tex]
-----------------------------------------------
Answer:
205
-----------------------------------------------
Hope This Helped! Good Luck!