Answer:
=
Step-by-step explanation:
Answer:
9/10=90/100
Step-by-step explanation:
What is the missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x?
1. The distributive property: 4x – 12 + 4 < 10 + 6x
2. Combine like terms: 4x – 8 < 10 + 6x
3. The addition property of inequality: 4x < 18 + 6x
4. The subtraction property of inequality: –2x < 18
5. The division property of inequality: ________
The missing step in solving the inequality is x > -9
Solving inequalitiesFrom the question, we are to determine the missing step in solving the given inequality
1. The distributive property: 4x – 12 + 4 < 10 + 6x
2. Combine like terms: 4x – 8 < 10 + 6x
3. The addition property of inequality: 4x < 18 + 6x
4. The subtraction property of inequality: –2x < 18
5. The division property of inequality: ________
Applying the division property of inequality
-2x/-2 < 18/-2
x > -9
Hence, the missing step in solving the inequality is x > -9
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plz help!!!! algebra 1 problem:
-(-xy^2z^3)^5(x^4yz)^2
Answer:
X^13Y^12Z^17
Step-by-step explanation:
Answer:
x^13y^12z^17
Step-by-step explanation:
-(-xy^2z^3)^5(x^4yz)^2
-(-x)^5 x y^10z^15 x^8y^2z^2
calculate the product
-(-x)^5 x x^8y^12z^17
a negative base raised to an odd power equals a negative
x^5 x x^8 y^12 z^17
x^13 y^12 z^17
Car = V-8 sedan
Year driven = third
Miles driven = 10,000
The depreciation for this vehicle using method 2 will be $
Note that the depreciation for this vehicle using method 2 will be $340.
What is the explanation for the above response?To calculate the depreciation using method 2, we need to multiply the cost of the car by the depreciation rate per mile, which is given in cents per mile.
First, we need to calculate the total depreciation for the car in cents by multiplying the miles driven by the depreciation rate per mile:
Total depreciation = Miles driven x Depreciation rate per mile
Total depreciation = 10,000 x 3.4 cents per mile
Total depreciation = 34,000 cents
Next, we need to convert the total depreciation from cents to dollars by dividing it by 100:
Total depreciation = 34,000 cents ÷ 100 cents/dollar
Total depreciation = $340
Therefore, the depreciation for this vehicle using method 2 will be $340.
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Change 8 to base 2
pls
Answer:
1000
Step-by-step explanation:
8 = 2³
dcba
In a number written in base 2, the digit a is the units digit, 2^0.
The digit b is the 2's digit, 2^1.
The digit c is the 4's digit, 2².
The digit d is the 8's digit, 2³.
Since 8 = 2³, we need 0 in the units, 2's and 4's digits, and a 1 in the 8's digit.
2 (base 10) = 1000 (base 2)
help me please I only have 5 minutes to do this
Step-by-step explanation:
There is nothing to do .__.
You need to add the attachment or whatever...
What statement correctly describes this expression
Answer:
b
Step-by-step explanation:
If 0<=k<(pi/2) and the areas under the curve y=cosx from x=k to x=(pi/2) is 0.1, then k=
Answer: The integral of the function y = cos(x) from x = k to x = π/2 represents the area under the curve of the function between those limits. We can evaluate this integral as follows:
∫[k, π/2] cos(x) dx = sin(k) - sin(π/2) = sin(k) - 1
We are given that this area is 0.1, so we can write:
0.1 = sin(k) - 1
Adding 1 to both sides gives:
1.1 = sin(k)
To solve for k, we take the inverse sine (or arcsine) of both sides, keeping in mind that k is between 0 and π/2:
k = arcsin(1.1)
However, arcsin(1.1) is not a real number since the sine function is only defined between -1 and 1. Therefore, there is no value of k that satisfies the given conditions.
Convert 150 minutes to hours
Answer:
Step-by-step explanation:
60 hours in a minute.
150/60=2.5 hours
hope this helps
We can calculate that 150 munites is equivalent to 2.5 hours using the conversion factors.
What are conversion factors?
A conversion factor, or a formula that shows how the units relate to one another, can be used to change the units of a measured quantity without changing the value.
A conversion ratio (or unit factor) will always have a numerator and a denominator that are the same number expressed in different units (1).
One unit of measurement can be converted into another using conversion factors.
Changes from the company's single-entry accounting system to a double-entry one are part of the conversion process.
So, we already have the knowledge that:
60 min = 1 hour
Then,
150 min = 2.5 hours
Therefore, we can calculate that 150 munites is equivalent to 2.5 hours using the conversion factors.
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28) △CBA ~ △CLM
BC = 21x +147, CL = 588, CA = 760, CM = 560 A) 43
B) 31
C) 35 D) 45
The answer is A) 43.
To find the value of x, we can set up a proportion between the corresponding sides of similar triangles. The corresponding sides are BC and CL. The lengths of BC and CL are given as 21x + 147 and 588, respectively.
Setting up the proportion:
BC/CL = CA/CM
Substituting the given values:
(21x + 147)/588 = 760/560
Cross-multiplying and solving for x:
(21x + 147) * 560 = 588 * 760
11760x + 82320 = 447840
11760x = 365520
x = 365520/11760
x = 31
Therefore, the value of x is 31.
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Luke has a piece of rope that is 3.6 meters long. He cuts the rope into two pieces. One is 1.93 meters long. How long is the other piece of rope?
A certain club has 10 members, including Harry. One of the 10 members is to be chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability that Harry will be either the member chosen to be the secretary or the member chosen to be the treasurer
Answer:
The probability that Harry will be chosen as either as Secretary or as treasurer but not as president out of those 10 members will be \(\frac{1}{5}\).
Step-by-step explanation:
We have 10 members out of which one is Harry, we need to choose one of the 10 members as President, one to be as secretary out of the remaining 9, one as the treasurer of the remaining 8 members.
We want harry to be as either as secretary or as treasurer. so we will consider both the cases
Probability is given by = No of favorable outcomes/ Total no of outcomes
(1) Harry as secretary : If harry is to be chosen as secretary then he can't be a president or he cant be a Treasurer
As president = \(\frac{1}{10}\)
Not as president = \(1 - \frac{1}{10}\) = \(\frac{9}{10}\)
Now he is selected for the secretary so he can't be selected as treasurer.
Not as treasurer = 1
Probability for chosen as secretary = \(\frac{9}{10}*\frac{1}{9}*1\) = \(\frac{1}{10}\)
(2) Harry as treasurer : If harry is to be chosen as the treasurer so he can't be chosen as a President or as a Secretary.
Probability for not chosen as president = \(\frac{9}{10}\)
Probability for not chosen as secretary = \(1-\frac{1}{9} = \frac{8}{9}\)
Probability to be chosen as treasurer = \(\frac{1}{8}\)
Probability to be chosen as Treasurer = \(\frac{9}{10}*\frac{8}{9}*\frac{1}{8}\) = \(\frac{1}{10}\)
Total probability for Harry to be chosen as either secretary or as treasurer will be = P(Secretary) +P(Treasurer)
= \(\frac{1}{10} +\frac{1}{10} = \frac{1}{5}\)
Therefore the probability that Harry will be chosen as either as Secretary or as treasurer but not as president out of those 10 members will be \(\frac{1}{5}\).
The slope field for certain differential equae tion is shown below: Which of the following statements about solution y = f (x) the differential equation must be false?
A). The graph of the particular solution that satisfies f "(0)=0 has = point of inflection at x=0 _
B.) The graph of the particular solution that satisfies f (0) =0 is concave up on the interval -k
C) The graph of the particular solution that satisfies f(-1)=1 concave up on the interval -1
D.) The graph of the particular solution that satisfies f ()=-1is concave down on the interval 0
The slope field shown in the question is that of a differential equation of the form y'= f(x,y).
The solutions of this equation are the curves in the slope field that emanate from each point and that have the same slope as the line at that point. Thus, for each point (x,y) in the slope field, it is possible to calculate the particular solution that passes through that point.
The first statement is false because it involves the second derivative of the particular solution, which cannot be determined from the slope field. The second statement is false because a concave up graph requires that the derivative of the solution be increasing at x=0, but the slope field does not indicate the sign of the derivative of the particular solution. The third statement is false because a concave up graph requires that the derivative of the solution be decreasing at x=-1, which cannot be determined from the slope field. The fourth statement is false because a concave down graph requires that the derivative of the solution be increasing at x=0, which cannot be determined from the slope field.
In summary, none of the statements can be determined to be true or false from the slope field shown.
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To which set of numbers does the number belong? - 14 over 11
The number -14/11 belongs to the set of rational numbers.
The set of rational numbers includes all numbers that can be expressed as a fraction, where the numerator and denominator are integers. In this case, the number -14/11 can be written as a fraction with -14 as the numerator and 11 as the denominator. Since both -14 and 11 are integers, -14/11 is a rational number. Rational numbers can be positive or negative and can include whole numbers, integers, and fractions. It's important to note that not all numbers belong to the set of rational numbers. For example, irrational numbers such as the square root of 2 or pi cannot be expressed as fractions. However, in the case of -14/11, it can be expressed as a fraction, making it a rational number.
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Help please
What is a angle B???
Check the picture below.
Make sure your calculator is in Degree mode.
Consider the function f(x) = x2 - 4x + 8 on the interval 0, 4. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c such that f'(c) = 0. Find all such values c and enter them as a comma-separated list. Values of c =: (1 point) Consider the function graphed below. P n ? Does this function satisfy the hypotheses of the Mean Value Theorem on the interval a, b ? Does it satisfy the conclusion?? f(b) f(a)2 At what point c is f'(c) b - a
Verifying that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c = 2 such that f'(c) = 0.
Given:
Consider the function f(x) = x2 - 4x + 8 on the interval 0, 4. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c such that f'(c) = 0.
f(x)=x^2−4x+8, [0,4]
when, x = 0
f(x) = x^2 -4x +8
f(0) = y = 0 - 0 + 8 = 8
when, x=4
f(5) = y = 16 - 16+8 =
thus, we have 2 points (0, 8) ; (4, 8)
slope,m = {8-(8)} / {4-0} = 0
hence, we have to calculate all the points,x where 0<x<8 and slope=0
f '(x) = 2x - 4 = 0
or, f '(c) = 2c - 4 = 0
c = 4/2 =2 ( 0<x<4)
hence, the there is only one solution c=2 which satisfies Rolle's theorem.
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1. AC is a diameter of the circle.Find measure of AEDFind measure of BCEFind length of ABFind length of CD2. AC is tangent to circle O.Find the lengths of the segments to the nearest hundredth.AO=DC=
80+x+45=180 (sum of angles on a straight line)
x=180-80-45
x=55.
\(\begin{gathered} \text{Thus,} \\ i)\text{ measure of AED=80+x} \\ m\text{ AED=80+55} \\ mAED=135^O \end{gathered}\)\(\begin{gathered} ii)\text{ measure of BCE=90+45+55} \\ \text{m BCE=190}^0 \end{gathered}\)\(\begin{gathered} iii)\text{Length of arc AB=}\frac{\theta}{360}\times2\pi r \\ \text{where }\theta\text{ is the angle subtended by the arc} \\ ^{\prime}r^{\prime}\text{ is the radius.} \\ \text{The radius of AB is 16. The angle subtended by AB is 'y'. Let's find 'y'.} \\ y=360-90-45-55-80=90^0 \\ \text{Thus,} \\ L_{arc\text{ AB}}=\frac{90}{360}\times2\times3.142\times16.\text{ Take }\pi\text{ to be 3.142} \\ L_{arc\text{ AB}}=25.136 \end{gathered}\)\(\begin{gathered} \text{Length of arc CD=}\frac{\theta}{360}\times2\pi r \\ \theta=45^0,\text{ for arc CD.} \\ r=16.\text{ The radius is constant} \\ L_{arc\text{ CD}}=\frac{45}{360}\times2\times3.142\times16 \\ L_{arc\text{ CD}}=12.568 \end{gathered}\)According to Ebbinghaus, we forget _____% of what we've learned within a few hours. Group of answer choices 75% 25% 50%
Hermann Ebbinghaus' experiment is primarily concerned with the "Forgetting Curve," which indicates the rate at which newly learned information fades away over time.
The experiment was focused on memory retention and recall of learned material. Ebbinghaus discovered that if no attempt is made to retain newly learned knowledge, 50% of it will be forgotten after one hour, 70% will be forgotten after six hours, and almost 90% of it will be forgotten after one day.
The same principle applies to the fact that after thirty days, most of the newly learned knowledge would be forgotten. Therefore, the correct answer is "50%" since Ebbinghaus claimed that we forget 50% of what we have learned in a few hours.However, there is no such thing as an average person, and memory retention may differ depending on the person's age, cognitive ability, and other variables.
Ebbinghaus used lists of words to assess learning and memory retention in the context of his study. His research was the first of its kind, and it opened the door for future researchers to investigate the biological and cognitive processes underlying memory retention and recall.
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The last four weekly values of sales were 80, 100, 105, and 90 units. the last four forecasts were 60, 80, 95, and 75 units. these forecasts illustrate:_________
These forecasts illustrate bias.
What is bias?Bias is defined as a disproportionate weight in favor of or against an idea or thing, usually in a closed-minded, prejudicial, or unfair manner. Biases can be inherited or acquired. Biases for or against an individual, a group, or a belief can develop. A bias is a systematic error in science and engineering. Statistical bias occurs when a population is unfairly sampled or when an estimation process produces inaccurate results on average. As an example, the previous four weekly sales values were 80, 100, 105, and 90 units. The last four forecasts were for 60, 80, 95, and 75 units, respectively. These forecasts show bias.Therefore, these forecasts illustrate bias.
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in theyx, y-plane above, the circle has center (h, k)left parenthesis, h, comma, k, right parenthesis and radius 10. what is the value of k ?
We can say that the value of k will be equal to the y-coordinate of the center of the circle (since k represents the y-coordinate of the center).
To answer this question, we need to use the equation of a circle:
(x - h)^2 + (y - k)^2 = r^2
Where h and k represent the coordinates of the center of the circle, and r represents the radius. In this case, we are given that the circle has center (h, k) and radius 10. So we can write:
(x - h)^2 + (y - k)^2 = 10^2
We are asked to find the value of k. To do this, we need to look at the equation of the circle and notice that the y-coordinate is paired with k. This means that we can isolate k by rearranging the equation as follows:
(y - k)^2 = 10^2 - (x - h)^2
y - k = ±√(10^2 - (x - h)^2)
k = y ±√(10^2 - (x - h)^2)
Since we don't have any information about the x-coordinate, we can't solve for a specific value of k. However, we can say that the value of k will be equal to the y-coordinate of the center of the circle (since k represents the y-coordinate of the center). Therefore, the answer is:
k = y
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Which term best describes a figure that is made up of two or more shapes?
composite shape
becuse thats what its called
How many diffrent ways can a rectangle be named
Answer:
Some other names that we use for rectangles are parallelograms, quadrilaterals, and polygons.
So, 3 different names.
Hope this helps!
The number of pivot columns of a matrix equals the dimension of its column space. (T/F)
The number of pivot columns of a matrix equals the dimension of its column space is true statement.
As given in the question,
The number of pivot columns of a matrix equals the dimension of its column space is true statement as per following reasons
The pivot columns of any matrix are linearly independent.The pivot columns span the column space to form a basis of column space in the given matrix.Therefore, the number of pivot columns of a matrix equals the dimension of its column space.
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a2+b2=
What is the answer
Answer:
(a+b)² - 2ab
Step-by-step explanation:
it is a formula :)
A quiz has 3 questions. Each question has 4 choices; a, b, c, or d. How many outcomes for answering the three questions are possible?
Answer:
64
Step-by-step explanation:
Number of outcomes = number of choices per question ^ number of questions
In this case, the number of choices per question is 4 and the number of questions is 3. Plugging these values into the formula, we get:
Number of outcomes = 4^3 = 64
A plane flew north for 1,000 kilometers in 10 hours. What was the plane's speed?
Answer:
62.1371
Step-by-step explanation:
speed=distance/time
Answer:
1000/10 = 100 km/hrStep-by-step explanation:
What is the perimeter of the regular hexagon ?
3m
I need help with this. Please don't rush and take your time.
Answer:
The correct answer is B.
Can someone help me out with this
Answer:
Step-by-step explanation:
a) 7² + a⁰ = 7*7 + 1 = 49 + 1 = 50
Anything raised to 0 is 1 {Eg: 15⁰ = 1 ,(-k)⁰ = 1}
b) 4³ - 3¹ = 4*4*4 - 3 = 64 - 3 = 61
c) 12x⁶ * 7x⁸ = (12*7)*x⁶⁺⁸ = 84x¹⁴
In exponent multiplication, If x is a rational number and a & b are two integers, then xᵃ * xᵇ = xᵃ⁺ᵇ
d) 49a¹³ ÷ 7a⁸ = (49 ÷ 7) * a¹³⁻⁸ = 7a⁵
In exponent division, If x is a rational number and a & b are two integers, then xᵃ ÷ xᵇ = xᵃ⁻ᵇ
e) (2y³)⁵ = 2⁵*(y³)⁵ = 32y³ˣ⁵ = 32y¹⁵
Which graph represents the function f(x)=|x−3|+1 ?
Answer:
the first one (in quadrant 1, pointing upwards)
Step-by-step explanation:
since the function is positive the graph will be facing upwards and start off at 1
Julie has 0.75 m³ of quicklime. She has plenty of sand and cement. (b) Work out the greatest volume of mortar mix she could make.
The greatest volume of mortar mix, she could make, is 1.5 cubic meters.
What is the ratio?The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
Given:
Mortar mix is made by mixing cement, sand, and quicklime in a ratio of 1:2:3.
Julie has 0.75 m³ of quicklime.
Let the volume of cement, sand, and quicklime be x, 2x, and 3x.
So,
3x = 0.75
Divide by 3 into both sides,
we get,
3x/3 = 0.75/3
x = 0.25
The total volume = the greatest volume of mortar mix
= x + 2x + 3x
Substituting the value of x to the expression,
we get,
x + 3x + 3x = (0.25) + 2(0.25) + (90.25)
The greatest volume of mortar mix,
= 1.5 cubic meters.
Therefore, the required amount of volume is 1.5 cubic meters.
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The complete question:
Mortar mix is made by mixing cement, sand, and quicklime in a ratio of 1:2:3.
Julie has 0.75 m³ of quicklime.
She has plenty of sand and cement.
Work out the greatest volume of mortar mix she could make.