Step-by-step explanation:
You plug g(3) into the equation like this
g(3) = -x - 2
find the gif of the terms of the polynomial. 52x^8 + 12x^3
Answer:
The GCF of the terms of the polynomial 52x^8 + 12x^3 is 4x^3.
Step-by-step explanation:
4-5 = x what is x-2? 5
The given expression is
\(\frac{4-5}{5}=x\)First, we solve the subtraction
\(\frac{-1}{5}=x\)Now we subtract 2 on each side to get x-2
\(-\frac{1}{5}-2=x-2\)Let's solve the difference
\(\begin{gathered} \frac{-1-10}{5}=x-2 \\ \frac{-11}{5}=x-2 \end{gathered}\)Therefore, x-2 is equal to -11/5.A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 80 pounds. The truck is transporting 60 large boxes and 65 small boxes. If the truck is carrying a total of 4975 pounds in boxes, how much does each type of box weigh? X Large box: pounds Small box: ( pounds 5 ?
Answer:
small = 35 pounds
large = 45 pounds
Step-by-step explanation:
Let x = large boxes
y = small boxes
two equations can be derived from the question
x + y = 80 equation 1
60x + 65y = 4975 equation 2
multiply equation 1 by 60
60x +60y = 4800 equation 3
subtract equation 2 from 3
5y = 175
y = 35
substitute for y in equation 1
x + 35 = 80
x = 80 - 35
x = 45
one hose can fill a small swimming pool in 55 minutes a larger hose can fill the pool in 45 minutes how long will it take the two hoses to fill the pool working together?
J in 55min
J in 45min ( bigger hose)
\(\begin{gathered} \frac{1}{55}+\frac{1}{45} \\ \frac{45(1)+55(1)}{55(45)} \\ \frac{100}{2475} \\ \text{Take the reciprocal} \\ \frac{2475}{100} \\ 24.75\text{ minutes} \end{gathered}\)Alternative method
The trick is to convert the numbers you are given to numbers that you can add together.
You have minutes per pool. You can’t work with that. But if you take the reciprocal of each you get pools per minute.
So if the first hose fills 1/55 = 0.01818 pools per minute and the second one fills 1/45 = 0.0222 pools per minute, then both of them will fill 0.1818 + 0.0222 = 0.04040 pools per minute. If we take the reciprocal of that we end up with 1/0.04040 = 24.75 minutes per pool.
Maggie is trying to find the best deal to buy bags of potato chips. Option A: $0.90 for 9 bags of chips Option B: $0.84 for 7 bags of chips Option C: $1.50 for 5 bags of chips Which option is the better deal?
A
Option A
B
Option B
C
Option C
Answer:
The answer is option A. Since you would be paying 0.10 for each bag.
The solution is Option A.
The best deal for Maggie to buy the bag of potato chips would be 9 bags for $ 0.90 because each bag cost $ 0.10
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the cost of each bag be represented as A
Now , the equation will be
a)
$0.90 for 9 bags of chips
The cost of 9 bags = $ 0.90
The cost of 1 bag A = The cost of 9 bags / 9
Substituting the values in the equation , we get
The cost of 1 bag A = 0.90 / 9
On simplifying the equation , we get
The cost of 1 bag A = $ 0.10
b)
$0.84 for 7 bags of chips
The cost of 7 bags = $ 0.84
The cost of 1 bag A = The cost of 7 bags / 7
Substituting the values in the equation , we get
The cost of 1 bag A = 0.84 / 7
On simplifying the equation , we get
The cost of 1 bag A = $ 0.12
c)
$1.50 for 5 bags of chips
The cost of 5 bags = $ 1.50
The cost of 1 bag A = The cost of 5 bags / 5
Substituting the values in the equation , we get
The cost of 1 bag A = 1.50 / 5
On simplifying the equation , we get
The cost of 1 bag A = $ 0.30
Therefore , the 0.10 < 0.12 < 0.30
Hence , the cost of $0.90 for 9 bags of chips is the best deal
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-91x-13x= 276.50
Show work
Answer:
x = -2.65865384615
Step-by-step explanation:
-91x - 13x = 276.50
First, Combine Like Terms
-91x + (-13x) = -104x
-104x = 276.50
Second, divide
276.50 / -104 = x
x = -2.65865384615
look at image (pls help)
Answer: b
Step-by-step explanation: longer on the x axis shows more time but shorter on the y shows less distance meaning he walked slower in the beginning and faster in the end. the graph is nonlinear
Answer y is always a step behind x b4 encowls a4 so and a4 equal d4 hope this helps:}
Step-by-step explanation:
x encowls d2
The mccarthy family is installing a rectangular patio in their backyard that will be 18 3 4 feet by 12 feet. what will be the area of the patio in square fe
The area of a rectangular patio with the dimensions of 18-3/4 feet and 12 feet will be determined by using the formula for the area of rectangle.
Area of rectangle is calculated by multiplying the length of the rectangle to the width of the rectangle. i.e.,
Area of rectangle= Length*Width
In the given situation,
Length= 18-3/4feet
Width=12 feet.
1. Convert the value of length to improper fraction:
18-3/4=75/4
2. Multiply the length and width to find the area:
Area=(75/4)x12
Solving the expression:
3. Area=75x3=225 sq. feet
The area of a 18-3/4 feet and 12 feet rectangular patio is 225 sq. feet.
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Between 11 P.M. and 8:45 A.M., the water level in a swimming pool decreased by 3/8
. Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
A bag contains a certain number of balls. 48 of them are green and the remaining are In a school, there are 4 Humanities and 3 Science teachers. A teacher is picked at random for promotion. Find the probability that the teacher picked teaches a Science subject
So, the probability that the teacher picked teaches a Science subject is approximately 0.4286 or 42.86%.
To find the probability of picking a Science teacher, we need to determine the total number of teachers and the number of Science teachers.
Given that there are 4 Humanities teachers and 3 Science teachers, the total number of teachers is:
Total teachers = 4 + 3 = 7
The number of Science teachers is 3.
Therefore, the probability of picking a Science teacher for promotion is:
Probability = Number of Science teachers / Total teachers
= 3 / 7
= 3/7
≈ 0.4286
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A student is taking a multiple-choice test that has 80 questions. Each question has 5 answer choices.
If the student guesses randomly on every question, how many questions should the student expect to
answer correctly?
Answer:
16
Step-by-step explanation:
He has a chance of 1/5 for every question, so 80*1/5= 16 possible correct answers can be expected
(a) Find m ZK.
40°
6
m2K =°
K
6
Step-by-step explanation:
it is an isoceles triangle (both legs are equally long).
that means also both base angles are equal :
angle J = angle L = 40°
the sum of all angles in a triangle is always 180°.
so,
180 = angle J + angle L + angle K = 40 + 40 + angle K
angle K = 180 - 40 - 40 = 100°
Given the expression 4x2y+5x−6xy2−4xy+6x2y, select the like term that would combine with 4x2y. −6xy2 −4xy 5x 6x2y
Answer:
All two are to the second power
Step-by-step explanation:
Paul is a big fan of music from the 1960s, and 27% of the songs on his smartphone are Beatles songs. Suppose Paul sets his phone player to "shuffle," so that it selects songs randomly (assume the shuffle function permits repetition of songs, so the "population" of songs is essentially infinite). During a long drive, Paul plays 40 randomly-selected songs. Calculate the probability that more than 30% of the 40 randomly selected songs are Beatles songs.
Show Mean, Standard deviation, condition, calculation, and conclusion
Mean = 0.8
Standard deviation = 2.45
It can be conclude that the probability of selecting more than 30% Beatles songs out of 40 randomly chosen songs is improbable, with only 0.42% of possible outcomes satisfying the condition.
We have, The proportion of the population that belongs to Beatles songs is p = 0.27.
The number of songs played by Paul is n = 40.
Since the value of n is greater than 30, then we can use the normal approximation to the binomial distribution.
The mean of the binomial distribution is
μ = np
⇒ 40 * 0.27 ⇒ 10.8.
The standard deviation of the binomial distribution is
σ = √(npq)
= √(40 * 0.27 * 0.73)
= 2.45.
The probability that more than 30% of the 40 randomly selected songs are Beatles songs, we need to calculate P(X > 0.3n) where X is the number of Beatles songs in the sample.
We use the normal distribution to make the approximation:
z = (0.3n - μ)/σ
= (0.3 * 40 - 10.8)/2.45 ⇒ 2.63.
The probability of getting a z-score of 2.63 or greater is equal to 0.0042.
Hence, the probability that more than 30% of the 40 randomly selected songs are Beatles songs is 0.0042.
Therefore, the conclusion is that the probability of more than 30% of the 40 randomly selected songs being Beatles songs is very low, with only 0.42% of the possible outcomes meeting that condition.
The mean is 10.8 and the standard deviation is 2.45
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Can someone please help? I'm not doing well.
Step-by-step explanation:
am not seeing it is not clear capture another video
Solve by factoring the equation
Answer:
x=-5/3 and x= 1/4
Step-by-step explanation:
Subtract 5 to both sides and then get 12x^2+17x-5=0. Then rewrite the difference for 17x so 20x-3x. Your equation will look like this 12x^2+20x-3-5=0. Now factor 4x out of 12x² ad 20x and get 4x(3x+5). Now factor 3x+5 ad get (4x-1). Now set (3x+5)=0 and (4x-1)=0 and now you will get -5/3 and 1/4.
which one is greater 6.65 or 6.650
Answer:
neither they are both equal
Step-by-step explanation:
Answer: there equal/ the same.
Step-by-step explanation:
Mr. Takaya can eat three slices of pizza in five minutes. If he continues to eat at the same rate, how many slices
could he eat in half of an hour?
Answer:
18.
Step-by-step explanation:
3 x 6 = 18. He eats 3 slices every 5 minutes so 5 minutes x 6 is half an hour. so 18 is your answer.
If Takaya continues to eat three slices of pizza in five minutes, he could eat 18 slices in half of an hour.
What is the Linear equation in one variable?The Linear equation in one variable is an algebraic equation of degree one.
it can be expressed in the form of Ax +B = 0 where x is a variable, and A and B are two integers.
Takaya can eat three slices of pizza in five minutes.
for half an hour it would be 6 times five minutes.
So, in half an hour Takaya can eat 3 × 6 = 18
Therefore, If Takaya continues to eat three slices of pizza in five minutes, he could eat 18 slices in half of an hour.
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Solve.
-6<3n+9<21
Thanks!
Answer:
the answer you are looking for is -5<n<4
Answer:
−6<3n+9<21
−6+−9<3n+9+−9<21+−9(Add -9 to all parts)
−15<3n<12
−15
3
<
3n
3
<
12
3
(Divide all parts by 3)
−5<n<4
Step-by-step explanation:
Find the points at which the tangent line is horizontal for the given interval. F(x)=cosx-sinx [0,2pi]
Answer:
\(x=\{\frac{3\pi}{4}, \frac{7\pi}{4}\}\)
Step-by-step explanation:
For the tangent line to be horizontal, the derivative of the function at that point must be 0.
Thus, let’s first take the derivative of our function:
\(f ^\prime(x)=\frac{d}{dx}[\cos(x)-\sin(x)]\)
Differentiate:
\(f^\prime(x)=-\sin(x)-\cos(x)\)
Now, let’s set our derivative equal to 0:
\(0=-\sin(x)-\cos(x)\)
Let’s multiply everything by a negative:
\(0=\sin(x)+\cos(x)\)
To solve for x, we can subtract sin(x) from both sides. This gives us:
\(\cos(x)=-\sin(x)\)
Now, we can refer to the unit circle. First, remember that the only points for which cosine is equal to sine is at the π/4 points. That is, π/4, 3π/4, 5π/4 or 7π/4.
However, cosine is equal to negative sine. The only two quadrants for which cosine and sine are the same but also have opposite signs is QII and QIV.
Therefore, our answers are 3π/4 and 7π/4.
Rapunzel was setting up a room with tables for an event. The room had 4 walnuts tables, 9 poplar tables, 7 cedar tables, and 11 cherry tables
\
What is the probability that the first person to enter the room will be randomly seated at a walnut table?
Write as a reduced fraction
Answer:
The answer is 4/31
Step-by-step explanation:
Total=4+9+7+11=31
Probability =4/31
I need help I don't understand it.
These angles are corresponding angles, and we know that corresponding angles are equal when a transversal intersects two parallel lines.
So,
8x - 12 = 6x + 8
=> 8x - 6x = 8 + 12
=> 2x = 20
=> x = 20/2
=> x = 10
So, the value of x is 10.
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You purchased concentrated cleaner that must be diluted before use. Container a is the cleaner, which is 20% solution. Container b is pure water. You are mixing together the contents of container a and container b to produce 40 gallons of 9% solution. How many gallons from each container are needed to create the 40 gallons of 9% cleaning solution?
Answer:
18 gallons from container \(a\) and 22 gallons from the container \(b\) to be mixed to get the required mixture.
Step-by-step explanation:
Given that the container \(a\) has 20% concentrated cleaner
and container \(b\) has pure water which has 0% cleaner.
Let x gallons from container a and y gallons from the container b are mixed to get a 9% concentrated solution.
So,
\(9\%\; \text{of}\; (x+y) = (20\% \; \text{of}\; x )+(0\% \; \text{of}\; y)\cdots(i)\)
As the total amount of the final solution= 40 gallons
So, \(x+y=40\cdots(ii)\)
Using the value of equation (ii) in equation (i), we have
9% of 40 = 20% of x
\(\Rightarrow 0.09\times 40=0.2 \times x\)
\(\Rightarrow x=\frac{0.09\times 40}{0.2}\)
\(\Rightarrow x=18\) gallons.
From equation (ii),
18+y=40
\(\Rightarrow y=40-18=22\) gallons.
Hence, 18 gallons from container \(a\) and 22 gallons from the container \(b\) to be mixed to get the required mixture.
When: F = 3, G = 5, and H = 2
Evaluate: FGH - G
Answer:
25.
Step-by-step explanation:
FGH-G = 3x5x2 - 5 = 30 -5 =25.
Ten individuals have participated in a diet modification program to stimulate weight loss. Their weight bothbefore and after participation in the program is shown below:Before195,213,247,201,187,210,215,246,294,310
After187,195,221,190,175,197,199,221,278,285
Is there evidence to support the claim that this particular diet-modification program is effective in producingmean weight reduction? Computep-value and state your conclusion usingα= 0.05.
(a)p-value<0.0005; rejectH0(b)p-value<0.0005; do not rejectH0(c)0.25< p-value<0.40; rejectH0(d)0.25< p-value<0.40; do not rejectH0(e)None of the preceding
The evidence is not sufficient to support the claim since the p-value is 0.1833 higher than 0.05, so e) none of the preceding.
How to find p-value?α = significance level = 0.05
n = sample size
df = degree of freedom = n - 1 = 10 - 1 = 9
Before we find the p-value, we use t test formula. But, before that we calculate mean and standard deviation for two population with excel.
In excel we get,
\(\bar x_1\) = 231.8
\(\bar x_2\) = 214.8
\(\sigma_1\) = 41.95
\(\sigma_2\) = 37.90
Next, we can calculate t test. So,
t = \(\frac{\bar x_1 -\bar x_2}{\sqrt{\frac{\sigma^2_1+\sigma^2_2}{n}}}\)
= \(\frac{231.8-214.8}{\sqrt{\frac{41.95^2+37.9^2}{10}}}\)
= \(\frac{17}{\sqrt\frac{3,196.2125}{10}}\)
= 0.9509
Using t score to p-value calculator for 0.9509, we get p-value = 0.1833.
Thus, the p-value is 0.1833 is higher than significance level 0.05 so there is no sufficient evidence to support the claim.
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Find the area of the figure and choose the appropriate result
Answer:
41.7
Step-by-step explanation:
A = 6*4 = 24
B = 3.5 * (3.8-2) = 6.3
C = 3*3.8 = 11.4
A + B + C = 41.7
You use substitution to solve a system of equations and, after simplifying, end with a statement that says 7 = 7. Describe what this statement means about the number of solutions and about the graph of the system. .
Answer:
System of equations are independent, if 2nd equation is not multiplication of firstequation by some number . ... Simplify the 2nd equation: ... y - 2x = -7 ... If you solve the equationsalgebraically and you get a solution such as 5=5, then ... If you use either method and end up with astatement that's always true i hope this helps
Step-by-step explanation:
Answer:
Sample Response: Since the statement is true, there are an infinite number of solutions to the system. This statement also indicates that the lines are equivalent.
Step-by-step explanation:
solve for the varabile a -10=a/5-2
Answer:
\(a - 10 = \frac{a}{5 } - 2 \\ \\ \implies \: a - 10 = \frac{a - 10}{5} \\ \\ \implies \: 5a - 50 = a - 10 \\ \\ \implies \: 5a - a = - 10 + 50 \\ \\ \implies \: 4a = 40 \\ \\ \implies \: a = \cancel\frac{40}{4} \\ \\ \implies \: a = 10\)
hope helpful ~
Answer:
a-10=a/5-2
a-10=a/3
3(a-10=a/3)
3a-30=a
3a-a=30
2a=30
a=15
Write the equation in slope intercept form. what are the slope and y-intercept? -3x - 10y = 7
20% of A = 96
15% of B =75
Answer:
(20÷100)×96=19.2
(15÷100)×75=11.25
Answer:
A = 480
B = 500
Step-by-step explanation:
Find A and B??
.
20% of A = 96
\(\sf{20\% \times A = 96}\)
\(\sf{ \frac{20}{100} \times A = 96}\)
\(\sf{A = 96 \div \frac{20}{100} }\)
\(\sf{A = 96 \times \frac{100}{20} }\)
\(\sf{A = \frac{9600}{20} }\)
\(\green{\sf{A = 480}}\)
.
15% of B = 75
\(\sf{15\% \times B = 75}\)
\(\sf{ \frac{15}{100} \times B = 75}\)
\(\sf{B = 75 \div \frac{15}{100} }\)
\(\sf{B = 75 \times \frac{100}{15} }\)
\(\sf{B = \frac{7500}{15} }\)
\( \green{\sf{B = 500}}\)