Answer:
x+5 > 4
Step-by-step explanation:
x+5 > 4 can be changed to
-5 . -5
x>-1
that is what is shown
36 workers can complete a piece of work in 12 days how many workers should be removed to complete the same work in 24 days
please explain step by step
Tell me pls but pls no files
Answer:
I think its A
Step-by-step explanation:
A bridge connecting two cities separated by a lake has a length of 3.961 mi.
Use the table of facts to find the length of the bridge in yards.
Round your answer to the nearest tenth.
Conversion facts for length
12 inches (in) = 1 foot (ft)
3 feet (ft) = 1 yard (yd)
36 inches (in) = 1 yard (yd)
5280 feet (ft) = 1 mile (mi)
1760 yards (yd) = 1 mile (mi)
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(Write your answers on the space provided) The World Health Organization (WHO) reported that about 16 million adolescent girls between 15 and 19 years of age give birth each year. Knowing the adverse effects of adolescent childbearing on the health of the mothers as well as their infants, a group of students from Magiting High School volunteered to help the government in its campaign for the prevention of early pregnancy by giving lectures to 7 Barangays about the WHO guidelines on teenage pregnancy. The group started in Barangay 1 and 4 girls attended the lecture. Girls from other barangays heard about it, so 8 girls attended from Barangay 2, 16 from Barangay 3, and so on. a. Make a table representing the number of adolescent girls who attended the lecture from Barangay 1 to Barangay 7 assuming that the number of attendees doubles each Barangay 4 3 5 6 2 7 1 Barangay Number of Attendees b. Form a sequence representing the number of adolescent girls who attended the lecture from Barangay 1 to Barangay 7. C. Because people who heard about the lecture given by the group thought that it would be beneficial to them, five more different barangays requested the group to do the lectures for them. If the number of young girls who will listen to the lecture from these five Barangays will increase in the same manner as that of the first 7 Barangays, determine the total number of girls who will benefit from the lecture.
The sequence of the number of girl attendees at each Barangay is nonzero, given by multiplying the number of attendees in the previous Barangay by 2
The required values are;
a. The completed table is presented as follows;
[tex]\underline{\begin{array}{|l|c|c|c|c|c|c|c|}\mathbf{Barangay}&1&2&3&4&5&6&7\\\mathbf{Number \ of \ attandees}&4&8&16&32&64&128&256\end{array}}[/tex]
b. The sequence of the number of girls attendees aₙ = 4×2⁽ⁿ⁻¹⁾
c. The sum of beneficiaries of the lecture from the twelve Barangay is 16,384 girls
Reason:
Known parameters are;
Number of girls that attended the lecture at Barangay 1 = 4 girls
Number of girls that attended from Barangay 2 = 8 girls
Number that attended from Barangay 3 = 16 girls
a. The required table with the assumption that the number of girls that attended at each Barangay from Barangay 1 to Barangay 7 doubles, is presented as follows;
[tex]\begin{array}{|l|c|c|c|c|c|c|c|}Barangay&1&2&3&4&5&6&7\\Number \ of \ attandees&4&8&16&32&64&128&256\end{array}[/tex]b. The sequence of the number of girls who attended the lecture from Barangay 1 to Barangay 7 is presented as follows;
The sequence is a geometric progression having the form, aₙ = a·r⁽ⁿ⁻¹⁾
The first term of the sequence, a = 4
The common ratio, r = 2 (each term is twice the previous term)
n = The number of terms
The sequence is therefore;
aₙ = 4·2⁽ⁿ ⁻ ¹⁾c. The total number of girls in the geometric progression, (G. P.) is given by the sum of a G. P. as follows
[tex]S_n = \dfrac{a \cdot (r^n - 1 )}{r - 1}[/tex]
Where;
n = The number of terms = 7 + 5 = 12
Which gives;
[tex]S_{12} = \dfrac{4 \times (2^{12} - 1 )}{2 - 1} = \dfrac{4 \times 4,096 }{1} = 16,384[/tex]The total number of girls who will benefit from the lectures, S₁₂ = 16,384 girls
Learn more about geometric progression here:
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Find the Measure of The missing angles
Answer:
∆K = 98°
∆M = 82°
∆G = 118°
∆H = 62°
Step-by-step explanation:
∆K & ∆G is by corresponding angle
and
∆M & ∆H is by linear pairs
Whoever answers I’ll mark brainliest
Answer:
Right Triangle.
Step-by-step explanation:
A right triangle always has a 90 degree angle.
Answer:Right angle
Step-by-step explanation:the box down there signals its a 90 degree angle
What would the answer be image below
Answer:
The points would be: (-3, 3) (-4, -1) (2, -1) (1, 3)
Step-by-step explanation:
Because when you move 4 units left, all of the x values in the points will go down by 4, and when you move 2 units down, the y values will go down by 2 units. So when applied to the points shown, you get the answer I put.
I believe this is correct? Hope it helps!
A correlation of r = 0.35 is?
moderate and positive
strong and positive
weak and positive
Answer:
r = 0.35 is Moderate and positive
Step-by-step explanation:
A correlation of r = 0.35 represents a moderate and positive relationship between two variables.
What is the area of trapezoid ABCD? Enter your answer as a decimal or whole number in the box. Do not round at any steps. units² Trapezoid A B C D on a coordinate plane with vertex A at negative 1 comma 5, vertex B at 3 comma 2, vertex C at 0 comma negative 2, and vertex D at negative 13 comma negative 11. Angle A is shown to be a right angle.
Answer:
62.5 units squared.
Step-by-step explanation:
Pls help me i need it
Check all solutions to the equation. If there are no solutions, check 'None."
x2=-4
Answer:
-2 is the only answer
Step-by-step explanation:
You know the answer can't be a positive number because a positive multiplied by a positive is a positive number. It is not 0 because 0 X anything is 0. -16 x 16 is way to high. But, -2 x 2 = -4
There are no real solutions
Option F is correct.
What is an imaginary number?An imaginary number is a number that, when squared, has a negative result. Essentially, an imaginary number is the square root of a negative number and does not have a tangible value.
Given equation
[tex]x^{2} =-4[/tex]
Apply square root on both sides of the equation
[tex]\sqrt{x^{2} } =\sqrt{-4}[/tex]
[tex]x=2i[/tex]
2i is imaginary number.
There are no real solutions
Hence, Option F is correct.
Find out more information about imaginary solution here
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You are really excited to have found a Puch Maxi Moped from the mid Eighties, and the spring weather is making you want to get out and ride it around. It doesn't run on straight gasoline, you have to mix the oil and gas together in a specific ratio of 2.4 fl. oz. of oil for every gallon of gasoline.
You have 3.75 gallon of gas. How much oil should you add?
Answer:
Step-by-step explanation:
You should add 9 fl. oz. of oil to your 3.75 gallons of gas.
Puch Maxi Moped from the mid-Eighties now since this moped doesn't run on straight gasoline, you need to create a special fuel mixture. This involves combining oil and gas in a specific ratio. The magic ratio here is 2.4 fl. oz. (fluid ounces) of oil for every gallon of gasoline.
You mentioned you've got 3.75 gallons of gas. To figure out how much oil you need, we can use some math. First, let's find out how much oil is required for one gallon of gas:
2.4 fl. oz. of oil/gallon x 1 gallon = 2.4 fl. oz. of oil.
So, for 3.75 gallons of gas, you'll need:
2.4 fl. oz. of oil/gallon x 3.75 gallons = 9 fl. oz. of oil.
You should add 9 fluid ounces of oil to your 3.75 gallons of gas to create the proper fuel mixture for your Puch Maxi Moped.
To know more about Ratio here
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NEED FULL EXPLANATION!!
A COIN IS TOSSED 5 TIMES.
FIND THE PROBABILITY OF GETTING AT LEAST 1 TAILED
Answer:
Step-by-step explanation:
This is a typical probability question where there is a large number of possible outcomes to be considered.
That suggests an approach where we look at the probability of it not occurring.
For that to happen, we have to have 5 coins all landing heads up. The probability of that happening is (1/2)5=1/32.
From this, we can deduce the probability of that not happening (i.e. there being at least one tail) is 1−1/32=31/32.
a bakery worker ordered 3,000 eggs when only 300 eggs were needed. Which explains how many more eggs were ordered than were needed?
Answer:
2700 more eggs were ordered
Twelve dogs and cats receive 77 biscuits.
A dog receives 7 biscuits,one biscuit more than a cat.
How many dogs were there?
Answer:
6 dogs are there who ate the biscuits
Four students are training for their cross country team at school. They were told to run for as long as they could without stopping. The coach measured their total distances and their overall time. Calculate the average speed for each student and find the two students who tied for the same average speed.
A) Brev and Chris
B) Brev and leslie
C) Chris and Dylan
D) Dylan and Leslie
Answer:
C) Chris and Dylan
Step-by-step explanation:
a) 16 / (-4)
b) (-56) / 8
c) (-28) / (-2)
Polynomials
Multiply 5x(x2 - 4x + 2)
Answer:
Assuming "x2" is x squared:
5x(x2-4x+2)
(5x(x2)+5x(-4x)+5x(2))
5x^3-20x+10x
For these polynomial multiplication problems, just distribute the number outside the parentheses.
Answer:
[tex]5x^3-20x^2+10x[/tex]
What are the values of x and y?
(9x - 19y)
(5x - 17)
(3x + 3)º
X =
y =
Answer: x = 10 and y = 3
Step-by-step explanation:
Due to the x rule, (5x - 17) = (3x + 3)
If we add 17 to both sides:
5x = 3x + 20
Take away 3x from both sides
2x = 20
Divide by 2:
X = 10
This means that (5x - 17) = (3x + 3) = 33
Since all angles must add to 360, the top angle = (360- (33*2)) /2
(360-66) /2
294 /2
147
This shows that 9x - 19y = 147
90 - 19y = 147
Minus 90 both sides
19y = 57
Y = 3
So, x = 10 and y = 3
Convert 14 3/5% to a fraction in lowest terms.
Answer:
13l4 3/5%
Step-by-step explanation:
ithink that is the answer
165÷11
I'm not sure sure I had got R15
Answer:
165/11= 15
Step-by-step explanation:
I used a calculator
If y varies directly as x and as the square of z, and y =25/9 when x=5 and z=1, find y when x =1 and z=4
Answer:
y= 80/9
Step-by-step explanation:
Given
" y varies directly as x" and "as the square of z" so y = x* z²* some number
if y =25/9 when x= 5, z= 1 and y = x*z²* some number
then 25/9 = 5 * 1² * some number
5*(5/9) = 5 * some number
therefore y = x* z²* (5/9)
y= ? when x=1 , z= 4
y = x * z² * (5/9)
y = 1 * 4² * (5/9)
y = 16*5 / 9
y = 80/9
Jose pays $25 an hour for a tutor. Which expression represents the total cost of a tutor for the afternoon?
Question 6 options:
25h
25 ÷ h
h25
h + 25
Answer:
25h
I hope this helps :)
10
h
+
6
−
5
h
+
3
sorry its weird, you can type it out it wont let me put it normally.
Answer: 5h+9
Step-by-step explanation:
10h + (-5h)
5h+(6(+3))
Help plz very urgent
Answer:
N+5
Step-by-step explanation:
4,9,14,19
4+5=9+5=14+5=19….
5. What is the value of y in the solution to the systems of linear equations shown below?
12x + 6y + 7z= -35
7x- 5y - 6z= 200
x+y= -10
Answer:
x=[tex]\frac{60}{121}[/tex],z=[tex]\frac{535}{121}[/tex],y=-10
Step-by-step explanation:
Answer:
[tex]1) \: \: 12x + 6y + 7z = - 35 \\ 6y = - 35 - 12x + 7z \\ y = \frac{ - 35 - 12x + 7z}{6} \\ \\ 2) \: \: 7x - 5y - 6z = 200 \\ - 5y = 200 - 7x + 6z \\ y = \frac{200 - 7x + 6z}{ - 5} \\ \\ 3) \: \: x + y = - 10 \\ y = - 10 - x \\ [/tex]
What is the value of x? show all your work
Answer:
x or AB = 9
Step-by-step explanation:
Use Pythagorean Theorem to solve for missing side.
Pythagorean Theorem: a² + b² = c²
Plug our sides in to get AB² + BC² = AC²
We are solving for AB so we arrange the equation to get:
AB² = AC² - BC²
Solve for AB:
AB² = (√117)² - (6)²
AB² = 81
AB = 9
x or AB = 9
Please answer all question
(1)
(a) Use the fact that [tex]\sqrt{x^2} = |x|[/tex] for all [tex]x[/tex]. Since [tex]x\to+\infty[/tex], we have [tex]x>0[/tex] and [tex]|x| = x[/tex].
[tex]\displaystyle \lim_{x\to\infty} \frac{\sqrt{9x^2 - 2}}{x + 4} = \lim_{x\to\infty} \frac{\sqrt{x^2} \sqrt{9 - \frac2{x^2}}}{x + 4} \\\\= \lim_{x\to\infty} \frac{ x \sqrt{9 - \frac2{x^2}}}{x+4} \\\\= \lim_{x\to\infty} \frac{\sqrt{9 - \frac2{x^2}}}{1 + \frac4x} \\\\= \frac{\sqrt9}1 = \boxed{3}[/tex]
(b) This time [tex]x\to-\infty[/tex], so [tex]x < 0[/tex] and [tex]|x| = -x[/tex].
[tex]\displaystyle \lim_{x\to\infty} \frac{\sqrt{9x^2 - 2}}{x + 4} = \lim_{x\to\infty} \frac{\sqrt{x^2} \sqrt{9 - \frac2{x^2}}}{x + 4} \\\\= \lim_{x\to\infty} \frac{ \boxed{-x} \sqrt{9 - \frac2{x^2}}}{x+4} \\\\= (-1) \times \lim_{x\to\infty} \frac{\sqrt{9 - \frac2{x^2}}}{1 + \frac4x} \\\\= -\frac{\sqrt9}1 = \boxed{-3}[/tex]
(c) We immediately have
[tex]\displaystyle \lim_{x\to\infty} (x - \sqrt x) = \boxed{\infty}[/tex]
since [tex]x > \sqrt x[/tex] for all [tex]x > 1[/tex].
(d) Introduce a difference of squares by factoring in the limand's conjugate. The rest mirrors what we did in (a)/(b).
[tex]\displaystyle \lim_{x\to\infty} \left(\sqrt{x^2 + 12x} - x\right) = \lim_{x\to\infty} \frac{\left(\sqrt{x^2+12x} - x\right) \left(\sqrt{x^2+12x} + x\right)}{\sqrt{x^2 + 12x} + x} \\\\ = \lim_{x\to\infty} \frac{\left(\sqrt{x^2+12x}\right)^2 - x^2}{\sqrt{x^2+12x}+x} \\\\ = \lim_{x\to\infty} \frac{12x}{\sqrt{x^2+12x}+x} \\\\ = \lim_{x\to\infty} \frac{12}{\sqrt{1 + \frac{12}x} + 1} = \frac{12}{\sqrt1 + 1} = \boxed{6}[/tex]
(e) Divide through by the highest-degree exponential term.
[tex]\displaystyle \lim_{x\to\infty} \frac{12e^{2x} - 3e^{3x}}{2e^{2x} + 4e^{3x}} = \lim_{x\to\infty} \frac{12e^{-x} - 3}{2e^{-x} + 4} = \frac{0 - 3}{0 + 4} = \boxed{-\frac34}[/tex]
(2) By definition of the derivative, we have
[tex]f'(x) = \displaystyle \lim_{h\to0} \frac{f(x+h) - f(x)}h[/tex]
For [tex]f(x) = \sqrt{x^2+1}[/tex], the limit becomes
[tex]f'(x) = \displaystyle \lim_{h\to0} \frac{\sqrt{(x+h)^2+1} - \sqrt{x^2+1}}h[/tex]
Factor in the conjugate.
[tex]f'(x) = \displaystyle \lim_{h\to0} \frac{\left(\sqrt{(x+h)^2+1} - \sqrt{x^2+1}\right) \left(\sqrt{(x+h)^2+1} + \sqrt{x^2+1}\right)}{h \left(\sqrt{(x+h)^2+1} + \sqrt{x^2+1}\right)}[/tex]
[tex]f'(x) = \displaystyle \lim_{h\to0} \frac{\left(\sqrt{(x+h)^2+1}\right)^2 - \left(\sqrt{x^2+1}\right)^2}{h \left(\sqrt{(x+h)^2+1} + \sqrt{x^2+1}\right)}[/tex]
[tex]f'(x) = \displaystyle \lim_{h\to0} \frac{\bigg((x+h)^2+1\bigg) - (x^2+1)}{h \left(\sqrt{(x+h)^2+1} + \sqrt{x^2+1}\right)}[/tex]
[tex]f'(x) = \displaystyle \lim_{h\to0} \frac{2xh + h^2}{h \left(\sqrt{(x+h)^2+1} + \sqrt{x^2+1}\right)}[/tex]
[tex]f'(x) = \displaystyle \lim_{h\to0} \frac{2x + h}{\sqrt{(x+h)^2+1} + \sqrt{x^2+1}}[/tex]
[tex]\implies \boxed{f'(x) = \displaystyle \lim_{h\to0} \frac{x}{\sqrt{x^2+1}}}[/tex]
(3) The tangent line to
[tex]y = \frac1{x^2+1}[/tex]
at the point (2, 1/5) has slope equal to the derivative [tex]\frac{dy}{dx}[/tex] when [tex]x = 2[/tex]. Compute the derivative; since [tex]y = \frac1{f(x)^2}[/tex] where [tex]f(x)[/tex] is the function from the previous problem, using the chain rule gives
[tex]y = \dfrac1{f(x)^2} \implies \dfrac{dy}{dx} = -\dfrac{2f'(x)}{f(x)^3} = -\dfrac{2 \times \frac{x}{\sqrt{x^2+1}}}{\left(\sqrt{x^2+1}\right)^3} \\\\ \implies \dfrac{dy}{dx} = -\dfrac{2x}{(x^2+1)^2}[/tex]
The tangent line at (2, 1/5) then has slope
[tex]\dfrac{dy}{dx}\bigg|_{x=2} = -\dfrac{2\times2}{(2^2+1)^2} = -\dfrac4{25}[/tex]
Using the point-slope formula, the equation of the tangent line is
[tex]y - \dfrac15 = -\dfrac4{25} (x - 2) \implies \boxed{y = -\dfrac{4x - 13}{25}}[/tex]
Jake made punch by combining 2.75 liters of orange juice, 1.25 liters of pineapple juice, and 3.5 liters of soda. He then poured equal amounts of all the punch into 3 different containers. How much punch did Jake pour into each container?
Answer:
He poured 2.5 liters into each container
Step-by-step explanation:
Add 2.75, 1.25, and 3.5 together to get 7.5. Divide 7.5 by 3 and you get 2.5 liters per container.
When I multiply, $23.84 x $0.47 I got $11.2048 so what is that 49? What do I do with it? Also is my decimal placing right?
Answer:
Hi, the answer would be $11.21 after rounding.
Step-by-step explanation:
I see what you mean about the 49, but remember that when writing a price you only have two spots after the decimal. Yes, your decimal placing is correct!
So, after rounding and multiplying correctly you would get about $11.21
Hope this helps!!