Answer:
\(10ab^2c\sqrt[]{2bc}\)A
Explanation:
Given the expression;
\(\sqrt[]{200a^2b^5c^3}\)We want to simplify;
\(\begin{gathered} \sqrt[]{2\times10\times10\times a\times a\times b^2\times b^2\times b\times c\times c\times c} \\ =10\times a\times b^2\times c\times\sqrt[]{2\times b\times c} \\ =10ab^2c\sqrt[]{2bc} \end{gathered}\)Therefore, the given expression can be simplified to;
\(10ab^2c\sqrt[]{2bc}\)3
2) Sandy practice her clarinet hour on Monday and 1 - hours on Tuesday. How
4.
6
many total hours did she practice?
Answer:
1 11/12
Step-by-step explanation:
3/4 + 1 1/6
= 3/4 + 1/6 = (9+2)/12 = 11/12 + 1 = 1 11/12
graph y=1/3x+5 PLS HELP ASAP
Answer:
Graph attached.
Step-by-step explanation:
Given equation:
\(y=\dfrac{1}{3}x+5\)
The given equation is a linear equation in slope-intercept form, where 1/3 is the slope and 5 is the y-intercept.
To graph the equation, find and plot at least two points, then draw a straight line through them.
To find the points on the line, input values of x into the equation:
\(x = 0 \implies y=\dfrac{1}{3}(0)+5 \implies (0,5)\)
\(x=3 \implies y=\dfrac{1}{3}(3)+5 \implies (3,6)\)
\(x=6 \implies y=\dfrac{1}{3}(6)+5 \implies (6,7)\)
See attachment for the graph of the given equation.
Find some points
x=0
y=5x=3
y=1+5=6x=-3
y=-1+5y=4Graph attached
construct shear and bending diagrams for the following beams. show your equations used to create the plots. p p p p l/2 l/4 l/4 p p p l/3 l/3 l/3
The shear force and bending moment diagrams for the given beam will have multiple segments of different shapes and slopes, reflecting the variation of loads along the length of the beam.
To construct the shear and bending diagrams for the given beam, we need to analyze the beam for the different sections where the load is applied. We can break down the beam into five sections:
Leftmost section (0 ≤ x ≤ L/4)
Second section (L/4 < x ≤ L/2)
Third section (L/2 < x ≤ 5L/12)
Fourth section (5L/12 < x ≤ 7L/12)
Rightmost section (7L/12 < x ≤ L)
We can use the equations for shear and bending moments to create the plots:
For section 1: 0 ≤ x ≤ L/4
The shear force diagram will be constant since there is no load applied in this section. The bending moment diagram will be a sloping line, which will be zero at x = 0 and will increase linearly with x as we move toward the right end of the section.
For section 2: L/4 < x ≤ L/2
The shear force diagram will start from the value of P at x = L/4 and remain constant up to x = L/2. The bending moment diagram will be a parabolic curve, which will be zero at x = L/4 and L/2 and will reach a maximum value at the midpoint of the section.
For section 3: L/2 < x ≤ 5L/12
The shear force diagram will start from the value of P at x = L/4 and remain constant up to x = L/2. At x = 5L/12, a load of P/3 is added, causing the shear force to increase suddenly. The bending moment diagram will be a cubic curve, which will be zero at x = L/4 and L/2, and will have a local minimum at x = 5L/12.
For section 4: 5L/12 < x ≤ 7L/12
The shear force diagram will start from the value of P + P/3 at x = 5L/12 and remain constant up to x = 7L/12. The bending moment diagram will be a cubic curve, which will be zero at x = L/4 and L/2, and will have a local maximum at x = 7L/12.
For section 5: 7L/12 < x ≤ L
The shear force diagram will start from the value of P + P/3 at x = 5L/12 and remain constant up to x = 7L/12. At x = L/3, a load of P/3 is added, causing the shear force to decrease suddenly. The bending moment diagram will be a parabolic curve, which will be zero at x = L/4 and L/2 and will reach a minimum value at the midpoint of the section.
Find out more about the shear force
brainly.com/question/29664085
#SPJ4
If (4²)p=4¹⁴,whats the value of p
7
8
12
16
A bag of marbles consists of 14 blue marbles and 7 red marbles. If you reach into the bag and choose 2 marbles,
what is the probability that they are both blue? Assume the first marble is not replaced.
Answer:
chances are 10.5
Step-by-step explanation:
What is the resulting expression
Answer:
OPTION A
Step-by-step explanation:
4(0.5x+2.5y-0.7x-1.3y+4)
2x + 10y-2.8x-5.2y+16
-0.8x +4.8y +16
Find the first five terms of the sequence
defined recursively as follows: t₁ = 1,
tn = 3(t(n-1)), n≠1, n is a natural number.
Answer:
1, 3, 9, 27, 81
Step-by-step explanation:
using the recursive rule
\(t_{n}\) = 3 \(t_{n-1}\) with t₁ = 1 , then
t₂ = 3 × t₁ = 3 × 1 = 3
t₃ = 3 × t₂ = 3 × 3 = 9
t₄ = 3 × t₃ = 3 × 9 = 27
t₅ = 3 × t₄ = 3 × 27 = 81
the first 5 terms are 1, 3, 9, 27, 81
Expand the following equation (2x-3)^2
Answer:
4x^2 - 12x + 9
Explanation:
(2x - 3)^2
(2x - 3)(2x - 3)
2x(2x - 3) -3 (2x - 3)
4x^2 - 6x - 3 (2x - 3)
4x^2 - 6x - 6x + 9
4x^2 - 12x + 9
Do the side lengths 4, 8, and 10 form a triangle? Select the correct answer and reasoning. Question 11 options: A) Yes, because the sum of any two side lengths is greater than the third side length. B) No, because 4 + 8 is greater than 10. C) Yes, because the sum of all three side lengths is greater than 20. D) No, because the third side length is greater than the sum of the other two side lengths.
Answer:
A) Yes, because the sum of any two side lengths is greater than the third side length.
The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, 4 + 8 = 12, which is greater than 10, and the other two combinations (4 + 10 and 8 + 10) also satisfy this rule. Therefore, the given side lengths do form a triangle.
Step-by-step explanation:
Given right triangle ABC, where side "c" is the hypotenuse, angle B measures 42 degrees, and side c measures 18 m, find the length of side b.
The length of side b of the given right angle triangle using law of sines is; b = 12.044 m
How to use the law of sines?The law of sines states that when we divide side "a" by the sine of angle A, it is equal to side "b" divided by the sine of angle B, and also equal to side "c" divided by the sine of angle C
Thus;
a/sin A = b/sin B = c/sinC
The parameters are;
B = 42°
c = 18m
Since c is the hypotenuse, it is the side that will be opposite the right angle and so;
C = 90°
Thus, using sine rule;
c/sinC = b/sin B
18/sin 90 = b/sin 42
b = (18 * sin 42)/1
b = 12.044 m
Read more about law of sines at; https://brainly.com/question/4372174
#SPJ1
given that ab is the diameter of a circle o find the missing angle and arc measures show your work look at the photo of the circle
The given angles are:
M arc CB=64°,M<AOC= 116° ,M arc AD=26°,M arc DFB=154°,M<CDB=32°.
How to solve thisFirst, we use the property that the measure of a central angle is equal to the measure of the intercepted arc.
Given that <COB = 64°, we know that the measure of arc CB is also 64°.
Next, we use the fact that the measure of an angle made on the circumference is half the measure of the angle made at the center.
We know that the measure of intercepted arc AD is 26°, and since the angle made at the center, <ABD, is 13°, we can calculate that the measure of arc AD is 2 x 13° = 26°.
Using the fact that a semicircle has a measure of 180°, we know that the measure of arc DFB is 180° - 26° = 154°.
Finally, we can use the angle CDB to find the missing angle.
We know that <CDB is an angle made on the circumference and that the measure of arc CB is 64°.
Thus, we can calculate that <CDB = 64°/2 = 32°.
Therefore, the missing angle is 32°.
Read more about angles here:
https://brainly.com/question/25716982
#SPJ1
For questions 3-4, use the graph of the polynomial function to find the factorization of the polynomial. Assume there is no constant term. 3
3. The factored polynomial is p(x) = (x - 1)(x - 5)
4. The factored polynomial is p(x) = (x + 3)²
What is a polynomial?A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.
3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.
This implies that its factors are (x - 1) and (x - 5)
So, the factored polynomial is p(x) = (x - 1)(x - 5)
4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots
This implies that its factors are (x - (-3)) = (x + 3) twice
So, the factored polynomial is p(x) = (x + 3)²
Learn more about factorization of polynomial here:
brainly.com/question/30806486
#SPJ1
find the area of this triangle. round to the nearest tenth.
Answer:
3,600
Step-by-step explanation:
Cómo se hace y cómo es el proceso ayuda porfaaaaa
Answer:
30: 100
31: -13
32: -45
33: 14
34: -32
35: -22
36: 17
Give the boundaries of the indicated value. 2 pounds The boundaries are pounds
The limit values of the indicated value, 2 pounds, are the boundaries.
The boundaries of 2 pounds are;
1.5 – 2.5 poundsMethod used to find the boundaries of the indicated valueThe boundaries of an indicated value are the upper and lower bounds of
the value, which are the possible minimum or maximum values the
number may be before being rounded to the current value.
The indicated value = 2 pounds
The lowest possible value, 2 pounds can be before rounding up is 1.5 pounds.
Therefore;
1.5 pounds is the lower bound of 2 pounds.
The highest possible value of 2 pounds is 2.44999... pounds which is approximately 2.5 pounds
Therefore;
The upper bound of 2 pounds is 2.5 poundsWhich gives;
The boundaries of 2 pounds are;
1.5 – 2.5 poundsLearn more about upper and lower bounds here:
https://brainly.com/question/17644296
I Need help on this question .
Answer:
x^2-y^2
Step-by-step explanation:
Foil (x+y)(x-y)=
x^2-xy+xy-y^2=
x^2-y^2=
find the midpoint of the line segment when given the endpoints (10, -6)(-4, -9)
Answer:
3,3/2
Step-by-step explanation:
let 10,-6 be x1, y1
-4,-9 be x2, y2
(x1+x2)/2 , (y1+y2)/2
(10-4)/2 , (-6+9)/2
6/2 , 3/2
3 , 3/2
Answer:
(3, -7.5)
Step-by-step explanation:
Use the midpoint formula: (x1 + x2) / 2 , (y1 + y2) / 2
Plug in the points:
(10 - 4) / 2 , (-6 - 9) / 2
6/2 , -15/2
3, -7.5
So, the midpoint will be at (3, -7.5)
Select all the expressions that are equivalent to 24a – 6. 2(12a – 3) –3(2a + 2) + 18a 3(–2 + 8a) –6(2 – a) + 18a + 6 –2(12a + 3)d
Answer:
2 (12a-3)
Step-by-step explanation:
do distributive property
2 x 12a = 24a
2 x -3 = -6
Answer:
2(12-3)
Step-by-step explanation:
2 x 12 =24 2 x -3=-6
How will the mode be affected if the outlier is removed from the data set below? 58, 60, 53, 54, 60, 35, 58, 60
will the mode decrease?
will the mode not change?
is there not enough information?
will the mode increase?
The mode will not change.
Given data,
58,60,53,54,60,35,58,60
Outlier is the value in a set of data that much higher or lower than other values in data.
from given data, outlier is 35.
Mode is the value in a set of data that occurs more frequently in set of data.
from given data, 60 occurs more frequently.
Hence, 60 is the mode of data.
If outlier is removed from the data set then it will not affect the mode of the data
Thus, the mode will not change.
To learn more about outlier of data set refer here
https://brainly.com/question/12982142
#SPJ9
Write expression that represents the area of rectangle
5=width 4=height
Help me solve this please it’s the last question
Answer:
32?
Step-by-step explanation:
????????tell me if it is correct??
EXPLORE ACTIVITY 2
TEKS 7.13.8
Analyzing a Family Budget
One way to present a budget is in a circle graph. You can see at a glance which
categories take the greatest part of the family's resources. You can also work
backward from a circle graph to figure out exactly how much money is in each
category.
Use the circle graph to complete
the table for the Baker family's
monthly budget. Their net
monthly income is $4,000.
STEP 1)
STEP 2
STEP 3
STEP 4
STEP 5
432 Unit 7
Enter the income in the table.
Enter the percent or amount of money for each
category from the circle graph in the table.
Calculate the amount of money or the percent
for each category in the table.
Determine which expenses are fixed and
which are variable. Place X's in the appropriate
columns.
Complete the Amount Available column.
Item
Net monthly income
means how much
income the family
has after taxes.
Net monthly
Income
Housing cost
Food
Savings
Entertainment
Clothing
Medical
Transportation
Emergency
fund
Amount
($)
Percent
(%)
Baker Family's Monthly Budget
Emergency fund
Transportation
(car expense,
bus passes)
$400
Medical
(insurance
and
additional
expenses)
$600
Clothing
8%
Entertainment
Savings
$320
Fixed
Variable
Amount
Expense Expense Available
($)
Housing
cost (house
payment and
Insurance!
$1,400
Food
15%
Note that the table of budget is attached accordingly, and steps 1-4 have been completed. See the table.
What happened during emergency repair of $305?4) Since the emergency fund for that month was $200, it means that they are in the short for $105. They can only affod it if they take from their savings.
5) they had a balance of $800 for the month. This is miscellaneous funds. They can make use of this for the trip to NASA. This way, they won't have to touch the savings or entertainment.
Learn more about emergency:
https://brainly.com/question/20411681
#SPJ1
Full Question:
See attached image.
Reflect
4. Analyze Relationships One month, the family must make an
emergency car repair for $305. Are they able to pay for it out of the
fixed emergency fund for that month? If not, how can they afford it?
5. The family wants to make a trip to Houston to visit the NASA Space
Center. What are some ways they can save without using all of the
allotted $160 for entertainment
If 3(x - 2) = 6, then x
Answer:
8
Step-by-step explanation:
3(x - 2) = 6
3x - 6 = 6
x - 6 = 2
x = 8
hope it helps :)
mark brainliest!!
A group of things that belong togther
Answer:
A set
Step-by-step explanation:
A set is a group of things that belong together.
Sophia determined that the expression Negative (4 x minus 5) + 2 (x minus 3) is equivalent to –2x – 5 by using the steps below.
Expression: Negative (4 x minus 5) + 2 (x minus 3)
Expression: –2x – 5
Step 1:
Choose a value of x
Choose x = 1.
Choose x = negative 1.
Step 2: Substitute
Negative (4 (1) minus 5) + 2 (1 minus 3)
Negative 2 (negative 1) minus 5
Step 3: Evaluate
Negative (4 (1) minus 5) + 2 (1 minus 3) = negative (negative 1) + 2 (negative 2) = negative 3
Negative 2 (negative 1) minus 5 = 2 minus 5 = negative 3
Step 4:
Compare
Since –3 = –3, the two expressions are equivalent.
Which explains whether Sophia is correct?
She is correct because the value of the two expressions are the same in Step 3.
She is correct because she substituted opposite values in Step 1.
She is not correct because she did not substitute the same number in both expressions in Step 1.
She is not correct because she did not perform the correct order of operations in Step 3.
The correct statement is:
"She is not correct because she did not substitute the same number in both expressions in Step 1."
Is Sophia correct?First, let's see if Sophia is correct.
She starts with the expression:
-(4x - 5) + 2*(x - 3) = -2x - 5
Expanding the left side:
-4x + 5 + 2x - 6 = -2x - 5
-2x -1 = -2x - 5
So the constant term is different.
Now, what Sophia does is evaluating in x = 1 and x = -1. You can't do that when finding equivalent expressions. (never evaluate in different numbers).
"She is not correct because she did not substitute the same number in both expressions in Step 1."
If you want to learn more about equivalent expressions:
https://brainly.com/question/2972832
#SPJ1
Two identical gardens are to be weeded, each by a two-person team. Team A includes one gardener who could weed the garden in 2 h and another who could weed the garden in 4 h. Team B includes two gardeners, either of whom could weed the garden in 3 h. Which team will finish first? Explain.
Step-by-step explanation:
Team A time is 1 garden / ( 1 garden/ 2 hr + 1 garden/4 hr) = 1 1/3 hr
Team B = 1 / ( 1/3 + 1/3) = 1 1/2 hr
Team A wins !
What is the answer to this question
Answer:
Excuse me, I believe you forgot to put your questio! To get the desired answer, I highly recommend to oost another question!
Have a great day!
Yours Truely, TheAnimeCatUwU
Step-by-step explanation:
4.1 Determine the number that makes the following statement true. 53 - (a certain number) = 65 The certain number =
Answer: To find the certain number, we need to subtract 53 - 65:
53 - 65 = -12
Therefore, the certain number that makes the statement true is -12.
Step-by-step explanation:
The rate constant for first-order degradation of a N2O2 in a solution (1.0 mg/ml) at 40°C
is 0.00351 hr-1, activation energy is 2000 cal/mol, and R = 1.987 cal/mol/degree.
Calculate
a. The rate constant for first-order degradation of N2O2 at room temperature (25°C).
The 0.0035 hr⁻¹ first-order degradation rate constant in the 40 °C, 1.0 mg/ml solution, where R = 1.987 cal/mol/degree and 2,000 cal/mol activation energy indicates;
a. The rate constant for first-order degradation of N₂O₂ at room temperature is approximately 4.12595 × 10⁻² hr⁻¹
What is a first-order reaction?A first order reaction is one that has a rate that varies linearly with the concentration of one reactant
The given parameters are;
Temperature of the solution = 40°C
T₁ = 40 °C + 273.15 = 313.15 K
The rate constant, K₁ = 0.00351 hr⁻¹
Concentration of the solution = 1.0 mg/ml
Activation energy, Eₐ = 2000 Cal/mol
R = 1.987 cal/mol/degree
The formula by which the rate constant can be found is presented as follows;
\(log\dfrac{k_2}{k_1} =\dfrac{E_a}{2.303\times R} \times \dfrac{T_2-T_1}{T_1\cdot T_2}\)
a. Room temperature = 25 °C
T₂ = 25 °C + 273.15 = 298.15 K
Therefore;
\(log\dfrac{k_2}{0.00351} =\dfrac{2000}{2.303\times 1.987} \times \dfrac{313.15-298.15}{313.15 \times 298.15}\)
\(k_2=0.00351 \times 10^{\left(\dfrac{2000}{2.303\times 1.987} \times \dfrac{313.15-298.15}{313.15 \times 298.15}\right)} \approx 4.12595\times 10^{-2}\)
The rate constant for first-order degradation of N₂O₂ at room temperature is k₂ ≈ 4.12595 × 10⁻² hr⁻¹Learn more about the rate constant for first-order degradation here:
https://brainly.com/question/14595397
#SPJ1
Graph that line with slope -1 passing through the point (-2,4)
Answer:
To graph the line with slope -1 passing through the point (-2,4), we can use the point-slope form of the equation of a line, which is:
y - y1 = m(x - x1)where m is the slope of the line, and (x1, y1) is the given point on the line. Substituting the given values, we get:
y - 4 = -1(x - (-2))Simplifying this equation, we get:
y - 4 = -x - 2y = -x + 2Now we can graph this line by plotting the given point (-2,4), and then using the slope of -1 to find one or more additional points on the line. We can do this by starting at the given point and then moving one unit down (since the slope is negative) and one unit to the right (since the slope is -1). This gives us the point (-1,3). We can then connect these two points to graph the line.
GRAPHICAL REPRESENTATION:|
|
|
|
| /
| /
| /
-------+---------
|
|
|
|
|
|