Answer: 200.8
Step-by-step explanation: i juss subtracted
Complete each equation so that it has infinitely many solution
(Dont mind the exercise underneath)
(Brainliest to correct answer)
The equation with an infinite number of solutions is 12x-x+8+3x=14x+8.
What is equation?An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =. In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the relationship between two expressions on opposite sides of the sign. It mostly consists of one variable and one equal to symbol. 2x - 4 = 2 is an example.
Here,
12x-x+8+3x=14x+8
The equation so that it has infinitely many solution is 12x-x+8+3x=14x+8.
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In which of the following situations should the t distribution be used? a. When the sample standard deviation is used to estimate the population standard deviation b. Only when the population mean is 0 c. When the sample size is less than 30 d. When the population is not normally distributed
Answer:
a. When the sample standard deviation is used to estimate the population standard deviation
Step-by-step explanation:
T or Z distribution:
If we have the standard deviation for the sample, we use the t-distribution.
If we have the standard deviation for the population, we use the z-distribution.
Thus, the correct answer for this question is given by option a.
Explain with steps please and thank you! :)
Using the information in the given diagram, the value of the missing angle is: m∠1 = 75°
How to find the missing angle?The transverse line theorem states that If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.
Now, when we draw a horizontal line parallel to lines a and b and directly cutting across the vertex of angle 1, we can see that angle 1 will be composed of two angles.
Now, for the transverse line theorem we can say that:
Angle 1 will be composed of two angles namely:
48 degrees and (180 - 153) degrees.
Thus:
m∠1 = 48° + 27°
m∠1 = 75°
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even though the elimination method is easy I still have trouble with it
Answer:
(1,2)
Step-by-step explanation:
x+4y = 9
2x -4y= -6
Add the equations together
x+4y = 9
2x -4y= -6
-------------------
3x +0y = 3
3x=3
Divide by 3
3x/3 = 3/3
x=1
Now find y
x+4y = 9
1 +4y =9
Subtract 1 from each side
4y = 8
Divide by 4
4y/4 = 8/4
y =2
If f(5)=3 and f’(5)=-2, find the derivative of x^2 f(x) at x=5
For this question we will use the following rule for derivatives:
\((g\mleft(x\mright)f(x))^{\prime}=g^{\prime}(x)f(x)+g(x)f^{\prime}(x)\text{.}\)Therefore:
\(\begin{gathered} (x^2f(x))^{\prime}=(x^2)^{\prime}f(x)+x^2f^{\prime}(x), \\ (x^2f(x))^{\prime}=2xf(x)+x^2f^{\prime}(x)\text{.} \end{gathered}\)Since f(5)=3, and f'(5)=-2, we get that the derivative of x²f(x) at x=5 is:
\(2\cdot5f(5)+5^2f^{\prime}(5)=10\cdot3+25(-2)=30-50=-20.\)Answer: Option d.
Given right triangle ABC with altitude CE. By the Right Triangle Altitude Theorem, which similarity statement is true?
△ABC ∼ △EBC
△ABC ∼ △AEC
△ABC ∼ △CBE
△ABC ∼ △BCE
(40 points)
Step-by-step explanation:
By the Right Triangle Altitude Theorem, the two triangles formed by the altitude of a right triangle are similar to the original triangle and to each other.
In this case, triangle ABC is the original right triangle and CE is the altitude. Therefore, the similarity statement that is true is:
△ABC ∼ △AEC
This is because triangles ABC and AEC are both right triangles that share the angle at C, and the altitude CE creates two pairs of congruent angles (the right angles and the angle at A and E) and a pair of proportional sides (CE and AE are corresponding altitudes).
So, we can write the similarity statement as:
△ABC ~ △AEC
[5, 7.9.11.12.14.19}.
Answer:
sorry I can get what are you asking
is medium, average or something else?
Help please I need an answer asap
Answer:
5.04 seconds
Step-by-step explanation:
Having a graphing tool like )desmos.com) helps, just replace t with x
Which answer shows 0.00897 written in scientific notation?
0.897x10-2
O 8.97x102
8.97 x 10-2
8.97 x 103
Answer:
d) \(8.97*10^{-3}\)
Step-by-step explanation:
Move the decimal 3 spaces to the right so that way the decimal can be between the first two numbers. When you move the decimal to the right, it makes the exponent negative, when it moves to the left, it makes it positive
Helpp me out pls!!!!!!!!!
Answer:
a. Maurice walked farther.
b. 0.62 m
Step-by-step explanation:
Maurice
4.1 × 1.8 = 7.38 miles
Junnie
2.5 × 3.2 = 8 miles
This shows that Junnie walked more than Maurice.
8 - 7.38 = 0.62
Junnie walked 0.62 m more than Maurice
For the polynomial below, -1 is a zero. g(x) = x2-3x² + 25x +29 Express g (x) as a product of linear factors.
Hello there. To solve this question, we'll have to remember some properties about polynomials.
We want to express the following 3rd degree polynomial as a product of linear factors:
\(g(x)=x^3-3x^2+25x+29\)Knowing that -1 is a zero.
For this, there are two ways of determining the other roots and hence the linear factors.
Remember that a polynomial is written as a product of linear factors if
\(f(x)=a(x-x_1)(x-x_2)\cdots\)Where x1, x2 ... are the roots of the polynomial.
It is also called the canonical form of the polynomial.
First way: divide g(x) by (x - (-1)), that is (x + 1)
We'll use the long division method for polynomials:
At the top of x + 1 in the diagram below, we add the terms that, when multiplied by the bottom expression, gives us a term that can be subtracted from g(x).
We have a x³ factor, so we want to multiply it first by x² in order to cancel out:
Now we have a -4x² factor, so we multiply it by -4x in order to cancel out:
Finally, multiply it by a 29 in order to cancel the first 29x term:
Hence we say that
\(x^3-3x^2+25x+29=(x+1)(x^2-4x+29)\)Now, we want to factorize the quadratic expression in the right hand side, writing it as a product of linear factors as well:
As said before, we can take the roots of the expression and write it in canonical form. Since it is a quadratic expression, we have this easier formula to find the roots:
\(ax^2+bx+c=0\Rightarrow x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\)Plugging a = 1, b = -4 and c = 29, we'll get
\(\begin{gathered} x=\dfrac{-(-4)\pm\sqrt{(-4)^2-4\cdot1\cdot29}}{2\cdot1} \\ \\ x=\dfrac{4\pm\sqrt{16-116}}{2}=\dfrac{4\pm\sqrt{-100}}{2} \\ \end{gathered}\)Notice the radical is a negative number, hence it cannot be factored in terms of real linear factors.
We say that for an expression
\(x^2+\beta x+\gamma\)It is not reducible over R (real numbers) if
\(\beta^2-4\gamma<0\)Therefore the final answer is:
\((x+1)(x^2-4x+29)\)We could also use the following method to find this answer:
It is called the Horner-Ruffini method, that we dispose the coefficients and the roots in the following manner
Multiply the first coefficient by the root and add it to the second number in the line. Repeat the process until you reach the last number.
Therefore the result of this division is the polynomial:
\(x^2-4x+29\)As we found before.
Can someone please help me. I will give you brainliest, I’m struggling bad...
A study by Consumer Reports showed that 64% of supermarket shoppers believesupermarket brands to be as good as national brands. A manager of a local storebelieves that the percentage is higher in his store. She asks a random sample of145 shoppers whether they believed that supermarket brand ketchup was as goodas the national brand ketchup. Out of the 145 shoppers asked, 89 believed the supermarket brand was as good as the national brand. Use α= 0.05 significancelevel and conduct a hypothesis test.
Answer:
\(z=\frac{0.614 -0.64}{\sqrt{\frac{0.64(1-0.64)}{145}}}=-0.652\)
The p value would be given by:
\(p_v =P(z<-0.654)=0.257\)
Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is significantly less than 0.64 at 5% of significance
Step-by-step explanation:
Information given
n=145 represent the random sample taken
X=89 represent the number of people who believed the supermarket brand was as good as the national brand
\(\hat p=\frac{89}{145}=0.614\) estimated proportion of people who believed the supermarket brand was as good as the national brand
\(p_o=0.64\) is the value to test
\(\alpha=0.05\) represent the significance level
z would represent the statistic
\(p_v\) represent the p value
Hypothesis to test
We want to test if the true proportion is less than 0.64, the system of hypothesis are.:
Null hypothesis:\(p \geq 0.64\)
Alternative hypothesis:\(p < 0.64\)
The statistic is given by:
\(z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}\) (1)
Replacing the info we got:
\(z=\frac{0.614 -0.64}{\sqrt{\frac{0.64(1-0.64)}{145}}}=-0.652\)
The p value would be given by:
\(p_v =P(z<-0.654)=0.257\)
Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is significantly less than 0.64 at 5% of significance
I need help I’ll give u brainlest
Answer:
4. 18 cm^2
5. 24 cm^2
6. 12 cm^2
SA: 108 cm^2
Step-by-step explanation:
Answer:
Surface area is 108
1. 18
4. 18
2. 12
6. 12
3. 24
5. 24
Step-by-step explanation:
1. 3 x 6 = 18
4. 3 x 6 = 18
2. 4 x 3 = 12
6. 4 x 3 = 12
3. 4 x 6 = 24
5. 4 x 6 = 24
how many meters an Ostrich can run in 1 second, 2 seconds , and 4 seconds?
Answer:
An ostrich could run near 21 meters in 2 seconds and around 84 meters in 4 seconds
When x=5, the value of the expression 20/-25+x-2(x-10)is
If f(x) = 2x² - 5, f(5) =
Answer:
45
Step-by-step explanation:
Put in '5' where 'x' is
2 (5)^2 - 5 = 45
What is the equation: \(2x^2-5\)
What do we want to find: f(5)
To find f(5), we must plug the value '5'
⇒ into the 'x' position
⇒ f(x)
So: \(f(5) = 2(5^2)-5 = 2 * 25 - 5 = 50 -5 = 45\)
Thus f(5) = 45
Hope that helps!
Use the volume formula to find the volume of the prism.
A. 21 cubic units B. 42 cubic units C. 27 cubic units D. 9 cubic units
Answer:
D Because
Step-by-step explanation:
1/2 +1/2 is 1 so 1+1+3+4 is 9
HOPE THIS HELP! :)
1. Is Event 1 and Event 2 Mutually Exclusive of each other? Event 1: Pre- Schooler is a girl Event 2: Pre- Schooler prefers the color blue to the color pink Select one: a. No, A girl pre-schooler can prefer the color blue to the color pink. b. Yes, The gender of pre-schooler has no affect on color preference c. Yes, Girls prefer the color pink to the color blue 2. 70 preschoolers were asked whether they preferred blue or pink. 35 Girls chose pink as preferred color, 15 girls chose blue as preferred color, 5 boys chose pink as preferred color, and 15 boys chose blue as preferred color. Assuming one of the pre-schoolers is chosen at random determine the probability of choosing a preschooler that is a girl that prefers the color blue. Round answer to 2 decimal places.
The probability of choosing a preschooler who is a girl and prefers the color blue is 0.3 or 30%.
The total number of preschoolers who were asked about their color preference is 70. Out of these, 35 girls chose pink, 15 girls chose blue, 5 boys chose pink, and 15 boys chose blue.
To find the probability of choosing a girl who prefers blue, we need to use the formula:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
Here, the favorable outcome is choosing a girl who prefers blue. We can see that 15 girls chose blue as their preferred color. Out of these, we need to choose a girl, so the total number of favorable outcomes is 15.
The total number of outcomes is the total number of preschoolers, which is 70. Out of these, the number of girls is 35+15=50. Therefore, the total number of outcomes where a girl can be chosen is 50.
Putting these values in the formula, we get:
Probability = 15/50 = 0.3
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Complete Question;
70 preschoolers were asked whether they preferred blue or pink.
35 Girls chose pink as preferred color, 15 girls chose blue as preferred color, 5 boys chose pink as preferred color, and 15 boys chose blue as preferred color.
Assuming one of the preschoolers is chosen at random determine the probability of choosing a preschooler that is a girl that prefers the color blue. Round answer to 2 decimal places.
For the following pair of functions, find (f+g)(x) and (f-g)(x).
f(x)= 4x2 + 7x-5 and g(x)= - 9x² + 4x - 13
(f+g)(x) = 0
(Simplify your answer. Type in descending order.)
(f-g)(x) =
(Simplify your answer. Type in descending order.)
Given:
The functions are
\(f(x)=4x^2+7x-5\)
\(g(x)=-9x^2+4x-13\)
To find:
The functions \((f+g)(x)\) and \((f-g)(x)\).
Solution:
We know that,
\((f+g)(x)=f(x)+g(x)\)
\((f+g)(x)=4x^2+7x-5-9x^2+4x-13\)
\((f+g)(x)=(4x^2-9x^2)+(7x+4x)+(-5-13)\)
\((f+g)(x)=-5x^2+11x-18\)
And,
\((f-g)(x)=f(x)-g(x)\)
\((f-g)(x)=(4x^2+7x-5)-(-9x^2+4x-13)\)
\((f+g)(x)=4x^2+7x-5+9x^2-4x+13\)
\((f+g)(x)=(4x^2+9x^2)+(7x-4x)+(-5+13)\)
\((f-g)(x)=13x^2+3x+8\)
Therefore, the required functions are \((f+g)(x)=-5x^2+11x-18\)
and \((f-g)(x)=13x^2+3x+8\).
There are six pizzas there are 36 players on the team. If each member has one slice and each pizza has eight slices how much pizza in fraction form will be left over.
There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.
To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.
Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.
Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.
To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.
Therefore, there will be 12 slices of pizza left over.
To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.
If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.
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A trip took you 5 hours and you traveled 283.5 miles. If you averaged 49 mph
for the first part of the trip and 60 mph for the 2nd part, how long did you drive
at each rate?
Answer:
1.5 hr and 3.5 hr
Step-by-step explanation:
Time in the first part= x
Time in the second part= 5 - x
49x+60(5-x)=283.549x+300-60x=283.511x=300-283.511x= 16.5x= 16.5/11x= 1.5 hrand5-x= 5-1.5= 3.5 hrA line with a slope of 9/7 passes through the point (7, 14).What is its equation in slope -intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
PLEASE ANSWER ASAP!!!
Answer:
y=9/7x+5
Explanation:
We have the slope, and a point that is not an intercept. We can use Desmos graphing calculator to test y-intercepts.
I need help please...
Can someone please help, ty!!
(Will mark brainliest)
Answer:
25%
Step-by-step explanation:
Each quartile is 25% of a the whole box plot so it would have to be 25%
Pls answer this I give brainliest thank you! Number 2
Answer:
D
Step by Step Explanation:
To find the volume of a cube, you need to cube the side length. In this case, since the side length is 8, the volume is 8^3=512 cubic inches, or answer choice D. Hope this helps!
on : to show More... Then click on √x to enter your answers using the Math Equation editor. Question 5 A frog with bionic legs leaps from a stump with an initial velocity of 64 ft/sec. It is determined that the height of the frog as a function of time can by modeled by h (t) = − 16t² +64t + 3. What is the height of the stump? O 3 ft -3 ft O 16 ft O 64 ft ◄ Previous 1 pts M Next ▸
The height of the stump is 3 ft.
The given equation represents the height of the frog, h(t), as a function of time, t. To find the height of the stump, we need to determine the height when the time, t, is equal to 0.
In the equation h(t) = -16t² + 64t + 3, we substitute t = 0:
h(0) = -16(0)² + 64(0) + 3
Since any term multiplied by zero is zero, we can simplify further:
h(0) = 0 + 0 + 3
Therefore, the height of the stump, at time t = 0, is 3 ft. This means that when the frog initially leaps from the stump, the height of the stump itself is 3 ft.
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which experimental probability from coach nelson's experiment equals the theorectical probability? what is this probability?
Answer:
QUESTION:
which experimental probability from coach nelson's experiment equals the theorectical probability? what is this probability?
ANSWER:
This will explain everything to you.
https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-theoretical-and-experimental-probability/v/comparing-theoretical-to-experimental-probabilites
Step-by-step explanation:
Hope that this helps you out! :)
If you have any questions please put them in the comment section below this answer.
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you.
Help plis help plis
Answer:
2
Step-by-step explanation:
The points are going up 2 and over 1
The Answer is -2
↑
This is the Slope Line.
Which equation represents a linear function?
A y=1/4x
B y= |x|
C y= x exponent 2
D y= -3x exponent 3
So on solving the provided question, we can say that y= |x| makes a starlight line, this equation is a linear function.
What is linear function ?Two distinct but related concepts are referred to as linear functions in mathematics. A polynomial function of degree 0 or 1 is a linear function in calculus and related subjects if its graph is a straight line. Any function that depicts a straight line on a coordinate plane is said to be linear. For instance, y = 3x - 2 is a linear function since it depicts a straight line on the coordinate plane. f(x) = 3x - 2 can be used to represent the function since f(x) can be linked to y.
equation represents a linear function is that polynomial function of degree 0 or 1 is a linear function in calculus and related subjects if its graph is a straight line.
so, here y= |x| makes a starlight line, this equation is a linear function.
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