The expression to simplify is:
\(12x-13-x-9+10x\)To simplify, we collect the like terms.
We add/subtract x's and numbers separately.
Let's do this:
\(\begin{gathered} 12x-13-x-9+10x \\ =12x-x+10x-13-9 \\ =21x-22 \end{gathered}\)From the answer choice,
Correct Answer is B
A lot of points. PLEASE HELP! I will mark brainliest. Whoever gets it right first.
stered comsident p43336280840
Save the expression by solating the variable Hemember to balance the equation in each step you take
2
0-6
The result of the expression 20 - 6 is 14.
To solve the given expression, 20 - 6, and isolate the variable, we need to clarify whether there is an equation involved. However, in this case, the expression does not contain any variable to isolate, and it is not an equation that needs balancing. It is a straightforward arithmetic expression.
Step 1: Start with the given expression, 20 - 6.
Step 2: Evaluate the subtraction operation: 20 - 6 = 14.
Step 3: The simplified expression is now 14. However, since there is no variable present, there is no need to isolate any variable.
This means that when you subtract 6 from 20, the answer is 14. Remember that isolating a variable and balancing an equation are relevant when dealing with equations that involve variables. In this case, the expression is a simple subtraction operation, yielding a constant value of 14 as the answer.
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When driving in England, Brian drove through several speed cameras. On one drive, Brian left his hotel and after 7 minutes he was 2.5 km away and at that moment was measured going 0.5 kpm (kilometers per minute). Later, 18 minutes after he started driving, he was 14.8 km from the hotel and at that moment was measured going 0.8 kpm.
A. Find the linearization at 7 minutes.
B. Find the linearization at 18 minutes.
C. Compute two approximations for Brian's distance from his hotel at 14 minutes, using the linearizations from parts a and b.
D. Which approximation do you think is better? Why?
Solution :
The formula for the linearization of a function \($f(x)$\) at a point \($x$\) = a is given as
\($L(x)=f(a)+(x-a)f'(a)$\)
Assuming the time is t and the distance travelled is \($f(t)$\), that makes the speed as \($f'(t)$\).
So substituting them in the linearization formula,
A. At t = 7 minutes
f(7) = 2.5 km
f'(7) = 0.5 kpm
∴ \($L_7(t)=f(7)+(t-7)f'(7)$\)
\($=2.5+(t-7)0.5$\)
\($=2.5+0.5t-3.5$\)
\($=0.5t-1$\)
B. At t = 18 minutes
f(18) = 14.8 km
f'(18) = 0.8 kpm
∴ \($L_{18}(t)=f(18)+(t-18)f'(18)$\)
\($=14.8+(t-18)0.8$\)
\($=14.8+0.8t-14.4$\)
\($=0.8t-0.4$\)
C. Substituting the value of t as 14 in both the linearization to determine the position at 14 minutes, we get
\($L_7(14)=0.5(14)-1.0$\)
= 7 - 1
= 6 km
\($L_{18}(14)=0.8(14)+0.4$\)
= 11.2 + 0.4
= 11.6 km
D. According to the linearization at 7, the distance travelled between the 7 minutes and 14 minutes is = 6 km - 2.5 km
= 3.5 km
And between the 14 minutes and 18 minutes is = 14.8 km - 6 km
= 8.8 km
This is an average speed of 0.5 kpm in the first interval and an average speed of 2.2 kpm.
Now, according to the linearization of 18, the distance travelled between the 7 minutes and the 14 minutes is = 11.6 km - 2.5 km
= 9.1 km
And between 14 minutes and 18 minutes is = 14.8 km - 11.6 km
= 3.2 km
This gives an average speed of 1.3 kpm in the first interval and 0.8 kpm in the second interval.
Therefore, the second approximation is the better one since the average speed are closer to the actual readings in the second linearization.
Match each function with the correct translation of the parent function f(x) = x.
160=1x1-4
f(x) = (x+4)
fx)=p+4
0
00
vertical translation down 4 units
horizontal translation right 4 units
horizontal translation left 4 units
vertical translation up 4 units
It is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in
the graph intersecting the x- or y-axis at a different point.
Function is an operation that takes an input, performs some processing on it, and returns a result. It is a set of instructions that performs a specific task. Functions are typically used to perform repetitive tasks, like finding the sum of two numbers, adding two strings together, or finding the maximum of a list of numbers. Functions are essential to programming and can be used to make code more organized, reusable, and efficient.
The function f(x) = x is the parent function for linear equations. This equation is generally used to graph a line with a slope of 1 and a y-intercept of (0, 0). In order to translate this parent function, different transformations are applied to it.
A vertical translation down 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function down 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, -4).
A horizontal translation right 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function right 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (4, 0).
A horizontal translation left 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function left 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (-4, 0).
Finally, a vertical translation up 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function up 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, 4).
In conclusion, it is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in the graph intersecting the x- or y-axis at a different point.
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Will give brainliest and thanks and please explain
Answer:
(65-5) / 2.5 = d
Step-by-step explanation:
100% sure
Answer:
d=65/2-5
26days
Step-by-step explanation:
If (3y-9)^2+7=43, then what is(are the values of y?
Answer:
y = 1 and y = 5
Step-by-step explanation:
\(( 3 y -9)^2 + 7 = 43\\\\((3y)^2 + (-9)^2 + 2(3y)(-9)) = 43 - 7\\\\(9y^2 + 81 -54y) = 36\\\\9y^2 -54y + 81 -36 = 0\\\\9y^2 -54y + 45 = 0\\\\9(y^2 -6y + 5) = 0\\\\y^2 - 6y + 5 = 0\\\\y^2 - 5y - y + 5 = 0\\\\y(y - 5) -1(y - 5 ) = 0 \\\\( y - 1 )( y - 5) = 0\\\\y = 1 \ , \ y = 5\)
The values of y in the equation (3y-9)^2+7 = 43 are 1 and 5
How to solve for y?The equation is given as:
(3y-9)^2+7 = 43
Subtract 7 from both sides of the equation
(3y - 9)^2 = 36
Take the square root of both sides
3y - 9 = ±6
Add 9 to both sides
3y = 9 ± 6
Divide through by 3
y = 3 ± 2
Expand
y = (3 - 2 or 3 + 2)
Evaluate
y = 1 or 5
Hence, the values of y are 1 and 5
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Help me solve this 2(q +r)
I think the answer is 2q+2r
Convert 90.1% to a fraction in simplest form
The 90.1 percent can be written as a fraction in the simplest form is 901/1000.
What is percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
We have a percentage 90.1%
To convert it into the fraction in the simplest form we can do as follows:
= 90.1%
\(= \dfrac{90.1}{100}\)
= 0.901
\(= \dfrac{901}{1000}\)
Thus, the 90.1 percent can be written as a fraction in the simplest form is 901/1000.
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Please help i need answer asap
Step-by-step explanation:
B is the correct answer, i know yhos i fif iy on edge
Answer:
B
Step-by-step explanation:
If you multiply each of the sides of the smaller triangle by 2 it equals the sides of the lager triangle.
What is 7/12 plus 1/4 simplest form
Answer:
i think its 1/3 sorry if im wrong
how to get the area of the base ?
Answer:
LxWxH
Step-by-step explanation:
A student is trying to identify the composition of a pure metal block by determining its density. The student records the mass to be 20.0g. The rectangular block is 3.00cm x 4.00cm x 1.40cm. Calculate the density (in g/cm^3). Express your answer to the correct number of significant figures.
The block's density can be calculated using the equation d=25g/8.4 cm.
What are equations?Two things are equal, according to an equation.
For instance, 10 + 2 equals 6 + 6.
Simply put, this means that 10 plus 2 equals or is the same as 6 plus 6.
In an equation, the unknown could be present, as in 10 + x = 6 + 6.
So, find the block's volume first:
= Length * Width * Height
= 2 x 3 x 1.4
= 8.4 cm
Now that you know the volume and the mass, you can add them to the density formula, which is as follows:
= Mass / Volume
Assuming density is represented by the symbol b, the formula would be:
d = 25 g / 8.4 cm
Therefore, the block's density can be calculated using the equation d=25g/8.4 cm.
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Correct question:
A student is trying to identify the composition of a pure metal block by determining its density. The student records the mass of the sample to be 25.00 g. The rectangular block is 2.0 cm x 3.0 cm x 1.4 cm.
Which equation is necessary to determine the density sample?
Which expression is equivalent to ( + )?
Answer:
No entiendo que es lo que hay qué hacer
A giraffe can run up to 46.93 feet per second. How far could
a giraffe run in 1.8 seconds? Justify your answer
The first minute (my-newt, or little) division of an hour into sixty parts is known as the minute (or the one that everyone pronounces as min-it). In 1.8 seconds, the giraffe could run 84.474 ft.
Explain about the second?One of the sixty segments into which a minute is divided is a second. People frequently use the words "a second" or "seconds" to merely denote a relatively brief period of time. Nobody spoke for a little moment. It simply requires 40 seconds.
The unit of time measurement used by the International System of Units (SI) is the second (s or sec). The radiation produced by the change between two levels of the cesium-133 atom undergoes 9,192,631,770 (or 9.192631770 x 109 in decimal form) cycles in one second.
Because it is the second hourly division. The first minute (my-newt, or little) division of an hour into sixty parts is known as the minute (or the one that everyone pronounces as min-it). A second is obtained by dividing a second by sixty.
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3(2x-4y) +14-2y=5x
solve for y. pls help this is the 3rd time asking & no silly answers! i need help pls!
Answer:
y=x/14+1
Step-by-step explanation:
3(2x-4y) +14-2y=5x
6x-12y+14-2y=5x
6x-14y+14=5x
x+14=14y
x/14+1=y
And dude I feel ur pain no one is responding to my questions :(
If one angle of a set of alternate interior angles on parallel lines measures 77°, then the other angle also equals 77° _____.
always
sometimes
never
Answer:
I think is sometimes
Step-by-step explanation:
Answer:
The answer is always
On Sunday, Christina's savings account balance was $315.12.
On Monday,
she withdraws $78.95 and $143.80. She deposits
$63.29 on Tuesday. What is her balance after the deposit?
Each individual letter in TENNESSEE is placed on
a piece of paper in a hat. If one letter is selected at
random from a hat, determine probability that:
15. Letter S is selected
16. A consonant is selected
17. Letter T or N is selected
18. The letter V is not selected
19. The letter W is selected
20. The letter S is not selected
According to the admissions director of a certain college, approximately 11% of the 250 freshmen admitted had
applied using the early decision option. Suppose that we took random samples of 20 freshmen from this
population and computed the proportion of freshmen in each sample who had applied using the early decision
option. We can assume the admissions director's claim is true.
What will be the shape of the sampling distribution of p?
Answer:
Skewed to the right
Step-by-step explanation:
We have a right-skewed sampling distribution because the population proportion is so extreme relative to the sample size that there are fewer than 10 expected successes per sample.
The shape of the sampling distribution of p is skewed to the right because there are fewer than 10 projected successes per sample.
What is a histogram?It is defined as the numerical data representation in the graph with the help of a bar without space. The histogram gives an idea about the data's approximate distribution.
We have:
11% of the 250 freshmen admitted had applied using the early decision option.
Total number of samples = 20
It is given that the admissions director's claim is true.
As we can see from the data shape of the sampling distribution of p is skewed to the right because there are fewer than 10 projected successes per sample since the population proportion is so excessive in comparison to the sample size.
Thus, the shape of the sampling distribution of p is skewed to the right because there are fewer than 10 projected successes per sample.
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Please help me! My teacher gave us this and has only taught us about rectangles, not rhombi. My classmates and I are very confused
Step-by-step explanation:
It is important to know that the diagonals of a rhombus are PERPINDICUALR bisectors of each other . Opposite angles are equal and adjacen angles sum to 180 degrees .
Then remember alternate angles are equal and there are 180 degrees inside of a triangle .....then you should be able to solve these...here is the first one
If the perimeter of square garden is 84 feet what s the area of the garden
Answer:
441
Step-by-step explanation:
Get each side of the square
84/4 = 21
Multiply to get the area
21*21 = 441
Answer:
441 feet
Step-by-step explanation:
4 times s is how you find the perimeter of a square so we can put this in an equation
4s=84
/4. /4
s=21
Now to find area we multiply side by side or side squared
21x21
441
Hopes this helps please mark brainliest
Charmaine purchased a prepaid phone card for $15. Long distance calls cost 7 cents a minute using this card. Charmaine used her card only once to make a
long distance call. If the remaining credit on her card is $13.88, how many minutes did her call last?
the call lasted 16 minutes
m + 1/3 < -2 1/4
Solve for m
m > -1 11/12
m < -2 7/12
m < -1 11/12
m < -2 7/12
Answer:
m < - 2 7/12
Step-by-step explanation:
m + 1/3 < - 2 1/4
m + 1/3 < - (8/4 + 1/4)
m < - (9/4) - 1/3
m < -(27/12) - (4/12)
m < -(31/12)
m < - (24/12 + 7/12)
m < - 2 7/12
5th grade math. correct answer will be marked brainliest
Answer:
She got 9 multiple choice questions right.
She got 8 true/false questions right.
Step-by-step explanation:
you have to make them have a common denominator.
so multiply 4/5 by 2/2 and you get 8/10.
She got 9/10 multiple choice answers right and 8/10 true/false answers right.
Answer:
9 is the first one 8 is the second one
Help!!!!!! Help!!!!
Answer:
24°
Step-by-step explanation:
\(r \degree = 180 \degree - (34 + 122) \degree \\(vertical \: \angle s) \\ \\ r \degree = 180 \degree - 156 \degree \\ \\ r \degree = 24 \degree \\ \\ r = 24\)
Answer and Step-by-step explanation:
The answer is 24 degrees.
We see the angle 34 and 122. To find that angle in between, we subtract those numbers from 180.
180 - 34 - 122 = 24 = r
By the vertical angles theorem, r is equal to 24.
#teamtrees #PAW (Plant And Water)
You take out a simple interest loan with a principal of $1500. Your interest rate is
5.6% and your loan term is 4 years.
What is the total interest you will pay?
What is the total you will pay including your principal and interest?
Answer: See explanation
Step-by-step explanation:
Interest = Principal × Rate × Time
Interest = $1500 × 5.6% × 4
= $1500 × 0.056 × 4
= $336
The total amount that will be paid will be:
= Principal + Interest
= $1500 + $336
= $1836
47.6 + 7.32 + .0574 + 6 = 47.6 + 7.32 + .0574 + 6 =
A 60.7994
B 60.9774
C 61.4779
D 61.9774
Answer: B
Step-by-step explanation:
If we add the numbers up, (47.6 + 7.32 + .0574 + 6) We get a answer of 60.9774.Add 47.6 and 7.32 to get 54.92.
54.92 + 0.0574+6Add 54.92 and 0.0574 to get 54.9774.
54.9774 + 6Add 54.9774 and 6 to get 60.9774.
60.9774We conclude that the correct option is alternative "B".
Find the lengths of the diagonals of rectangle WXYZ where WY = - 2x + 34 and XZ = 3x - 26.
Answer:
The measure of the diagonals are 10 units each.
Step-by-step explanation:
The diagonals of a rectangle are always equal (Refer to image).
⇒ -2x + 34 = 3x - 26
⇒ -2x + 60 = 3x
⇒ 60 = 5x
⇒ 60/5 = 5x/5
⇒ 12 = x
Now, let's substitute the value of x into any diagonal.
⇒ -2x + 34 = WY
⇒ -2(12) + 34 = WY
⇒ -24 + 34 = WY
⇒ 10 units = WY
Thus, the measure of the diagonals are 10 units each.
Anna has an online checking account at Garden City Bank. Her balance at the beginning of February was $5,195.65. During the month, she made deposits totalling
$6,873.22, wrote checks totalling c dollars, was charged a maintenance fee of $15, and earned $6.05 in interest. Her balance at the end of the month was $4,200.00. What is
the value of c?
Answer:
7,859.92
Step-by-step explanation:
Add up the additions starting with what she started off with in the bank and subtract 4,200.00
Complete the following proof. Show all of your work.
Prove: The midpoint of the hypotenuse of a right triangle is equidistant from the three vertices.
1. Assign (x,y) values to points A, B, and C.
2. Calculate the (x,y) values for point M.
3. Calculate the length of MA, MB, and MC. (Hint: use the distance formula.)
4. Given the three lengths, what can you conclude?
We have demonstrated that the middle of a right triangle's hypotenuse is equally spaced from its three vertices, MA = MB = MC.
Let A be the vertex of the right angle, B and C be the other two vertices, and let their (x,y) coordinates be as follows:
A: (a,b)
B: (c,d)
C: (e,f)
The midpoint M of the hypotenuse BC can be found by averaging the (x,y) coordinates of B and C:
\(M: $\left(\frac{c+e}{2},\frac{d+f}{2}\right)$\)
To calculate the lengths of MA, MB, and MC, we can use the distance formula:
\(MA = \sqrt{(a - \frac{c+e}{2})^2 + (b - \frac{d+f}{2})^2}$\\$MB = \sqrt{(c - \frac{c+e}{2})^2 + (d - \frac{d+f}{2})^2}\\$MC = \sqrt{(e - \frac{c+e}{2})^2 + (f - \frac{d+f}{2})^2}$\)
Simplifying each of these equations, we get:
\(MA = \sqrt{(2a - c - e)^2 + (2b - d - f)^2}/2$\\$MB = \sqrt{(c - e)^2 + (d - f)^2}/2$\\$MC = \sqrt{(2e - c - e)^2 + (2f - d - f)^2}/2$\)
We want to show that the midpoint M of the hypotenuse BC is equidistant from the three vertices, i.e., that MA = MB = MC.
Substituting the coordinates of M into the expressions for MA, MB, and MC, we get:
\($MA = \sqrt{(2a - c - e)^2 + (2b - d - f)^2}/2$$MB = \sqrt{(c - e)^2 + (d - f)^2}/2$$MC = \sqrt{(2e - c - e)^2 + (2f - d - f)^2}/2$\)
To simplify these expressions, notice that\($(c+e)/2$\) is the x-coordinate of M, which is halfway between the x-coordinates of B and C. Similarly, \($(d+f)/2$\) is the y-coordinate of M, which is halfway between the y-coordinates of B and C. Therefore, we can rewrite the expressions as:
\(MA = \sqrt{(a - \frac{c+e}{2})^2 + (b - \frac{d+f}{2})^2}\\MB = \sqrt{(c - \frac{c+e}{2})^2 + (d - \frac{d+f}{2})^2}\\MC = \sqrt{(e - \frac{c+e}{2})^2 + (f - \frac{d+f}{2})^2}\)
Notice that these are the same expressions we obtained in step 3 for the lengths of the three segments.
Therefore, we have shown that MA = MB = MC, which means that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices.
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