To solve the problem, we will use the law of signs, to solve the problem
Law of signs:- × - = +- × + = -+ × - = -+ × + = +With the law of signs, we solve, but first we must know the following.
¿What are the equations?We know that the equations are those mathematical expressions that are called in members and separated, by their equal sign, which these carry their known data and unknown or unknown data, these are related through their mathematical operations.
Solving problem: x² + 26x + 169 = x² + 24x + 144 + x² - 10x + 25x² + 26x + 169 = 2x² + 14x + 169x² + 26x - 2x² - 14x = 0-x² + 12x = 012x - x² = 0x (12 - x) = 0x = 0.12So, the result of this equation is x = 0.12
¡Hope this helped!
Answer:
x = 0, x = 12
Step-by-step explanation:
Given equation:
\((x+13)^2=(x+12)^2+(x-5)^2\)
Expand:
\(\implies (x+13)(x+13)=(x+12)(x+12)+(x-5)(x-5)\)
\(\implies x^2+26x+169=x^2+24x+144+x^2-10x+25\)
Collect and combine like terms on the right side of the equation:
\(\implies x^2+26x+169=x^2+x^2+24x-10x+144+25\)
\(\implies x^2+26x+169=2x^2+14x+169\)
Subtract 169 from both sides:
\(\implies x^2+26x=2x^2+14x\)
Subtract x² from both sides:
\(\implies 26x=x^2+14x\)
Subtract 26x from both sides:
\(\implies 0=x^2-12x\)
\(\implies x^2-12x=0\)
Factor out the common term x:
\(\implies x(x-12)=0\)
Apply the zero-product property:
\(\implies x=0\)
\(\implies x-12=0 \implies x=12\)
Solution:
x = 0, x = 12Help Quickly! A truck needs 7 gallons of fuel to travel 56 miles. Can the truck travel 48 miles with 6 gallons of fuel? Explain.
Giving brainliest
The correct answer is:
O Yes; 7/56 and 48/6 are proportional because 7 * 6 = 48 * 56.
How to find the correct optionTo determine if the truck can travel 48 miles with 6 gallons of fuel, we can compare the ratios of fuel consumption to distance traveled.
Given that the truck needs 7 gallons of fuel to travel 56 miles, we can express this as the ratio 7/56 (gallons/miles).
If we compare it to the second scenario where the truck is traveling 48 miles, we can express it as the ratio 6/48 (gallons/miles).
To check if they are proportional, we can cross-multiply: 7 * 48 = 6 * 56. If the cross-multiplication results in equal values, then the ratios are proportional.
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The volume of the triangular pyramid below is 240 units. Find the value of a.
Answer: =
12
Submit Answer
15
مومی مرده
The value of x in the triangular pyramid is 8 units.
How to find the height of a pyramid?The volume of the pyramid is given as 240 units cube. Therefore, let's find the value of x in the pyramid.
volume of the pyramid = 1 / 3 ×base area × height
Therefore,
base area = 1 / 2 bh
base area = 1 / 2 × 12 × x
base area = 6x
Therefore,
volume of the pyramid = 1 / 3 × 6x × 15
240 = 30x
divide both sides by 30
x = 240 / 30
x = 8 units
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There were 5 girls to every boy that attended the Spring Semester Mixer last year. At this rate, how many attended the mixer if 150 girls attended the mixer,
Answer:
150:30
Step-by-step explanation:
It's essentially saying 5:1, 5 girls to one boy.
so with this in mind.
150:x
150/5
30
therefore
150:30
Answer:
30 boys attended the mixer. ( Wow 5 girls for a boy thats alot )
Step-by-step explanation:
1. Divide 150 girls by 5 ( 5 for every boy ) = 30 boys.
Thats it lol.
Btw can I have brainliest if I got it correct please?
Mr.West ate grapes for 11 days. He ate 2 1/11 ounces of grapes each day . How many grapes did he eat ?
Mr.West ate 23 ounces of grapes in 11 days by eating 2 1/11 ounces of grapes each day.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, Mr.West ate grapes for 11 days. He ate 2 1/11 ounces of grapes each day.
Therefore, The total number of grapes Mr.West ate is,
= 11×(2 1/11) grapes.
= 11×(23/11) grapes.
= 23 grapes.
So, He ate 23 ounces of grapes in 11 days.
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Brainliest if correct
Hey there!
4(2w + 2) - 11
DISTRIBUTE 4 WITHIN the PARENTHESES
= 4(2w) + 4(2) - 11
= 8w + 8 - 11
COMBINE the LIKE TERMS
= 8w + (8 - 11)
= 8w + 8 - 11
= 8w - 3
Therefore, your answer is: 8w - 3
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
\(\boxed{\sf{8w-3}}\)
Step-by-step explanation:
This problem can be solved by using the distributive property of left-to-right numbers.
\(\underline{\text{Distributive Property}}\)
A(B+C)=AB+AC
4(2w+2)-11
4(2w+2)
Multiply by 2.
4*2=8
4*2=8
Rewrite the problem down.
8w+8
8w+8-11
Then, subtract.
8-11=-3
Rewrite the problem down.
8w-3
Therefore, the final answer is 8w-3.
I hope this helps you! Let me know if my answer is wrong or not.
Just the image below.
Answer:
Step-by-step explanation:
P(x) + Q(x) = 4x^2 + 6x - 9 -7x^2 - 12x +8
x^2 terms: 4x^2 - 7x^2 = - 3x^2
x terms : +6x - 12x = - 6x
linear term: - 9 + 8 = - 1
Answer: -3x^2 - 6x - 1
A four-ounce serving of Campbell's Pork & Beans contains 5 grams of protein and 21 grams of carbohydrates A typical slice of "lite" rye bread contains 4 grams of protein and 12 grams of carbohydrates.
(a) I am planning a meal of "beans-on-toast" and I want it to supply 20 grams of protein and 80 grams of carbohy- drates. How should I prepare my meal?
(b)If I require A grams of protein and B grams of carbohy- drates, give a formula that tells me how many slices of bread and how many servings of Pork & Beans to use.
(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.
(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.
(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:
- Servings of Campbell's Pork & Beans: 4 servings.
- Slices of "lite" rye bread: 15 slices.
By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).
Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.
(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:
- Number of slices of bread (Bread): A divided by 4.
- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).
Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.
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Note: Enter your answer and show all the steps that you use to solve this problem in
the space provided.
4√/6
Simplify by rationalizing the denominator. Show your work.
√30
Answer:
The radical cannot be simplified, but it can be approximated.
Exact Form:
24
√
30
Decimal Form:
131.45341380
Step-by-step explanation:
cannot show steps right now
At a workshop , each of the 100 participants hugs each other participants once. Find the total number of hugs?
Answer:
10000
Step-by-step explanation:
100 hugs x 100 hugs
= 10,000 hugs.
100 students are interviewed to see which of biology, chemistry or physics they prefer. 55 of the students are girls. 25 of the girls like biology best. 27 of the boys prefer physics. 23 out of the 29 who prefer chemistry are girls. What percentage of the students prefer biology?
Using percentages we know that 62% or 62 students out of 100 students prefer biology.
What are percentages?In mathematics, a value or ratio that can be expressed as a fraction of 100 is known as a percentage.
When determining a percentage of a number, we should first divide it by 100 before multiplying the result by 100.
Thus, the proportion refers to a component per 100.
The word percent denotes a percentage of 100. It is represented by the symbol "%."
So, according to the given situation:
34 females enjoy biology
Do boys enjoy biology?
It is 34%≤
Then,
27% favor chemistry
10% favor physics.
The calculation would be:
27 + 11 = 38
100 - 38 = 62
Therefore, using percentages we know that 62% or 62 students out of 100 students prefer biology.
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Correct question:
100 students are interviewed to see which of biology, chemistry or physics they prefer.72 of the students are girls. 34 of the girls like biology best. 11 of the boys prefer physics. 24 out of the 27 who prefer chemistry are girls. What percentage of the students prefer biology?
If it takes 2men 11 days to dig 7 well, how many days should 7men dig 21well
7 men should be able to dig 21 wells in approximately 4.7 days.
How to determine the number of daysFrom the question, we have the following parameters that can be used in our computation:
If it takes 2men 11 days to dig 7 well, How many days should 7men dig 21wellWe can use the formula:
Number of days = (number of wells * number of days per well) / number of men.
So, we have
Number of days per well for 2 men:
11 days / 7 wells = 1.5714 days per well.
Using the above as a guide, we have the following:
the number of days for 7 men to dig 21 wells:
21 wells * 1.5714 days per well / 7 men = 4.7142days.
Hence, the number of days is 4.7 days.
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the table shows the change in the water level (in centimeters) of a reservoir for three months.
find the total change in the water level for the three- month period.
Answer:
- 1 5/24 cm
Step-by-step explanation:
We'll have to get the fractions to a common denominator. the least common denominator for 3 and 80 is 240.
So - 1 1/3 = - 1 80/240 = 320/240
21/80 = 63/240
-11/80 = -33/240
-------------------------------------
-320/240 + 63/240 - 33/240 = -290/240 = - 1 50/240 = -1 5/24 cm
The total change in the water level is \(-\frac{29}{24}\)
What is a fraction?'A fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole.'
According to the given problem,
Change in first month = \((\)\(-1\frac{1}{3}\) \()\) + \(\frac{21}{80}\) + \((-\frac{11}{80})\)
= \((\)\(-1\frac{1}{3}\) \()\) + \(\frac{10}{80}\)
= \((\)\(-1\frac{1}{3}\) \()\) + \(\frac{1}{8}\)
= \(\frac{1}{8} - \frac{4}{3}\)
= \(\frac{3 - 32}{24}\)
= \(-\frac{29}{24}\)
Hence, we can conclude, the change in the water level is \(-\frac{29}{24}\)
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On weekend nights, a large urban hospital has an average of 4.8 emergency arrivals per hour. Let X be the number of arrivals per hour on a weekend night at this hospital. Assume that successive arrivals are random and independent. What is the probability P(X < 3)?
Answer:
P(X < 3) = 0.14254
Step-by-step explanation:
We have only the mean, which means that the Poisson distribution is used to solve this question.
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)
In which
x is the number of sucesses
e = 2.71828 is the Euler number
\(\mu\) is the mean in the given interval.
On weekend nights, a large urban hospital has an average of 4.8 emergency arrivals per hour.
This means that \(\mu = 4.8\)
What is the probability P(X < 3)?
\(P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)\)
So
\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)
\(P(X = 0) = \frac{e^{-4.8}*4.8^{0}}{(0)!} = 0.00823\)
\(P(X = 1) = \frac{e^{-4.8}*4.8^{1}}{(1)!} = 0.03950\)
\(P(X = 2) = \frac{e^{-4.8}*4.8^{2}}{(2)!} = 0.09481\)
So
\(P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.00823 + 0.03950 + 0.09481 = 0.14254\)
P(X < 3) = 0.14254
Which of the following are the appropriate LaTeX: f\left(x\right)f ( x ) and LaTeX: g\left(x\right)g ( x ), for LaTeX: H\left(x\right)=\cos\left(2x^2-1\right)H ( x ) = cos ( 2 x 2 − 1 ) for LaTeX: H\left(x\right)=\left(f\:\circ\:g\right)\left(x\right)H ( x ) = ( f ∘ g ) ( x )? Group of answer choices
Answer:
\(f\left(x\right)=\cos\left(x\right)\: and\:\: g\left(x\right)=\left(2x^2-1\right)\)
Step-by-step explanation:
We have, \(H\left(x\right)=\cos\left(2x^2-1\right)H ( x )\)
\(=\cos\left(2x^2-1\right)\)
And \(H\left(x\right)=\left(f\:\circ\:g\right)\left(x\right)H ( x ) = \left(f\:\circ\:g\right)( x )\)
\(\Rightarrow \left(f\:\circ\:g\right)(x)=\cos\left(2x^2-1\right)\)
Now, \(f\left(x\right)=\cos\left(x\right)\) and \(g\left(x\right)=\left(2x^2-1\right)\)
(1.2 x 10^4)+(2.5 x 10^3)
IS THERE ANYONE THAT CAN HELP ME WITH THIS? 40 POINTS AND BRAINLLEST FOR A RIGHT ANSWER PLEASE ANYONE?
Evaluate the expression.
Answer:
33
Step-by-step explanation:
So we substitute the numbers for the variable and we get 24 + 36/4. This 24 + 9 which equals 33. So the answer is 33. I hope this helped!
Lara grows apples in her orchard and sells them at the weekly farmer's market. Each week, she sells the apples for a different price and records the number of apples sold. The scatter plict below
shows the price of one apple and the number of apples that were sold. A line of best fit for these data points, the equation y=-z+32, is also shown on the plot
Apples Number of Apples Sold
make e the subject
e-5=2f
Answer:
e-5=2f
take '-5' to the other side where '2f' is
e=2f+5
find the following arc measures
The measure of the angles are;
<KL = 23 degrees
m<LON is 23 degrees
m<OM = 113 degrees
m<KNL = 23 degrees
m<NL = 157 degrees
How to determine the measures of the arcTo determine the measures of the arc, we need to note the following;
Angles on a straight line is equal to 180 degreesAngle at right angle is equal to 90 degreesFrom the information shown in the diagram, we have;
<KL +<KM = 90 degrees
Now, substitute the values
<KL + 67 = 90
collect like terms
<KL = 23 degrees
m<LON and <KL are corresponding angles
Then, m<LON is 23 degrees
m<OM = m<LON + 90 degrees
Substitute the values
m<OM = 113 degrees
m<KNL = 23 degrees
m<NL = 90 + <LM
Substitute the values
m<NL = 157 degrees
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a car uses an average of 6 litres of fuel per 100kilometres if the car uses 9 litres of fuel what is the distance covered?
Answer:
150 kilometres
Step-by-step explanation:
Imagine it as a ratio 6 : 100
If they have given you the first side which is 9 you need to figure out the other side (9 : ?)
To do this you simply need to figure out how you get from 6 to 9 which is times by 1.5
Then to find the other side you do the same as they are proportional to each other
So 100 times by 1.5 which is 150
This gives you the answer that you can travel 150 kilometres with 9 litres of fuel
3x^2+7-6+1+3+7 add , sub, mult, what is the answer
Answer:
If just combining like terms: 3x^2 + 12
If solving for x: 2i, -2i
Step-by-step explanation: Combine like terms, so 3x^2 + 12 = 0; move the 12 to the other side by subtracting (3x^2 = -12), then divide both sides by 3, which gives x^2 = -4. Then get the square root of both sides to cancel out the power on the x. Since -4 is negative, use imaginary numbers, which makes x = 2i and x = -2i
Please help. Use the alternative form of definition of derivative to find the slope of the line tangent. Please show work. 100 points. Will give brainliest, when it comes up.
The slope of the line tangent to the graph of h(x) = 1/x + 3 at the point when x is -6 is -1/36.
What is the slope of the line tangent to the equation?To determine the slope of the line tangent to the graph of the given function when x = -6;
Using alternative form of the definition of derivative.
f'(a) = lim (h->0) [f(a+h) - f(a)] / h
Using this formula for the given function;
h'(a) = lim (h->0) [h(a+h) - h(a)] / h
Now, substitute a = -6 into the formula:
h'(-6) = lim (h->0) [h(-6+h) - h(-6)] / h
Next, simplify the expression by plugging in the values:
h'(-6) = lim (h->0) [1/(-6+h) + 3 - (1/-6 + 3)] / h
Simplifying further:
h'(-6) = lim (h->0) [1/(-6+h) - 1/-6] / h
Now, let's combine the fractions with a common denominator:
h'(-6) = lim (h->0) [(-6 - (-6+h))/((-6+h)(-6))] / h
Simplifying the numerator:
h'(-6) = lim (h->0) [-h / ((-6+h)(-6))] / h
Canceling out the h's:
h'(-6) = lim (h->0) [-1 / ((-6+h)(-6))]
Taking the limit as h approaches 0:
h'(-6) = -1 / ((-6)(-6))
Simplifying further:
h'(-6) = -1 / 36
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Which linear equation is represented by the table?
x −2 1 3 6
y 7 4 2 −1
Answer:
help calll me daddy
Step-by-step explanation:
please help by tomorrow
Find the slope of the line that passes through all of the points
on the table.
X
2
7
12
17
y
2
-3
-8
-13
Only need the answer
Answer:
Step-by-step explanation:
so first you need to find the slope
you can draw the line on a graph and use a protractor
final answer=46 degrees
Answer:-5/-19
the answer is -5/-19 and can not be simplify
Simply this question and get marked branlist
Answer:
72/n^5r
Step-by-step explanation:
Answer:
Below
Step-by-step explanation:
13)
● 2d^3 × c^6 × 8d^5 × c^2
Isolate the similar terms
● (2×8)× (d^3 × d^5)×(c^6×c^2)
● 16 × d^(3+5) × c^(6+2)
● 16 × d^8 × c^8
● 16 × (dc)^8
● 16(dc)^8
■■■■■■■■■■■■■■■■■■■■■■■■■■
● 8n×r^(-4) ×9×n^(-6)×r^3
Isolate the similar terms
● (8×9)× (r^(-4)×r^3) × (n×n^(-6))
● 72 × r^(-4+3) × n^(1-6)
● 72 × r^-1 × n^(-5)
● 72 ×(1/r) × (1/n^5)
● 72/(r×n^5)
Jared's car can travel 320 miles on 1 tank of gasolin. The gas tank of his car holds 22.4 gallon. If one gallon of gas costs $3.46, how much did he pay in gasif he travelled 563 miles. Round answer to nearest hundredth.
Answer:
39.8, $51.00
Step-by-step explanation:
caculate the following multiplication
\(67 \times 12\)
Answer:
804
Step-by-step explanation:
Just use a calculator.
pls help i dont get it
Answer:
Step-by-step explanation:
Answer: You can add 5. The question is asking you what can you do to make both sides equal 8. I am not a professional but I hope that helped.
50 pts. Compute the requested operating costs as indicated, based on the preceding table and the following information.
Car: six-cylinder compact
Year driven: second
Miles driven: 14,000
The insurance cost for second year is $
.
If the answer is right, (I will check it,) then I will post a question and give you more points. just get on my prophile, and keep reloading on my "questions' page. 100 extra points.
DONT FLAG. I NEED HELP WITH THIS PROBLEM AND I"M TRYING TO GET A REAL ANSWER.
From the table , the insurance cost for the second year based on the prescription given is : $1329
Using the prescription table, the six cylinder compact , second year car with a mileage of 14000 falls in the mid table category with the 13000 mileage label .
The operating cost in insurance for the second year is therefore $1329.
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