To solve 8^2 , we have to multiply 8 with itself , this means = 8 × 8 = 64 . Thus, our answer = 8²= 64.
This also known as square of a number as we multiply it with itself .
I WILL MARK BRANILIEST HELP MEE
Use the hundredth grids to answer the question.
Which equation is shown by the model?
See picture below
Based on the information we can infer that the equation shown in the image is 1.23 - 0.35 = 0.88 (option B).
How to identify the correct equation?To identify the correct equation we must look at the graph and identify the information it provides. In this case we have two squares divided into 100 squares each. Additionally, the square on the left has 88 squares painted in red and 12 squares with an X inside. In the case of the square on the right, it has 23 squares colored in red with an X inside.
In total we have 123 squares painted in red, which in decimal number is equivalent to 1.23. On the other hand, the number of squares painted red and with an X inside is 35, this value would be 0.35.
On the other hand, the squares painted only in red are 88, so the equivalent in decimal numbers would be 0.88. Therefore, the correct way to express this relationship through an equation would be:
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1. a committee consists of 4 chemical engineers and 3 electrical engineers. this committee is to be formed from a group of 6 chemical engineers and 5 electrical engineers. find the number of ways in which this can be done if (a) any ee and any ce can be included. (b) one particular ce must be in the committee. (c) two particular ce cannot be in the same committee.
A) There are 330 possible ways to form the committee if any EE and any CE can be included.
B) There are 210 possible ways to form the committee if one particular CE must be in the committee.
C) The total number of ways to form the committee with two particular CE excluded is 205
In this case, we are given a scenario where a committee is to be formed from a group of chemical and electrical engineers. Let's dive into the details of the problem and explore how probability can be used to solve it.
(a) If any EE and any CE can be included, we need to find the number of ways to form a committee of 7 members from a group of 6 CE and 5 EE. In this case, the order in which the committee members are selected does not matter, so we can use the formula for combinations.
The total number of ways to select 7 members from a group of 11 engineers is given by:
C(11,7) = 11! / (7! * 4!) = 330
(b) If one particular CE must be in the committee, we can first select that CE and then form the rest of the committee from the remaining engineers. The probability of selecting that particular CE is 1/6, since there are 6 CE in total.
Once we have selected that particular CE, we need to select 6 more members from a group of 5 EE and 5 CE (excluding the one we have already selected). The total number of ways to do this is given by:
C(10,6) = 10! / (6! * 4!) = 210
(c) If two particular CE cannot be in the same committee, we can use the principle of inclusion-exclusion to find the total number of ways to form the committee.
First, we find the total number of ways to form the committee without any restrictions. This is given by:
C(11,7) = 330
Next, we find the number of ways to form the committee with both particular CE included. This is given by:
C(9,5) = 126
We subtract this from the total number of ways to form the committee to get the number of ways with at least one of the particular CE excluded:
330 - 126 = 204
However, we have counted the case where both particular CE are excluded twice, so we need to add this back in:
C(7,7) = 1
Therefore, the total number of ways to form the committee with two particular CE excluded is:
204 + 1 = 205
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Solve for k, the constant of variation, in a direct variation problem, where x = 2 and y = 12.k=1/24k=6k=24k=1/6
1) Typically, a direct variation is given as:
\(y=kx\)2) Since we were told that x=2 and y =12 we can plug those variables into the formula and find the constant of variation "k"
\(\begin{gathered} y=kx \\ 12=k2 \\ 12=2k \\ \frac{12}{2}=\frac{2k}{2} \\ k=6 \end{gathered}\)Thus, the answer is k=6
Solve for x
(2^2/x) (2^4/x) = 2^12
\( \textsf{\qquad\qquad\huge\underline{{\sf Answer}}} \)
Let's solve ~
\(\qquad \sf \dashrightarrow \:(2 {}^{ \frac{2}{x} } ) \sdot(2 {}^{ \frac{4}{x} } ) = 2 {}^{12} \)
\(\qquad \sf \dashrightarrow \:(2 {}^{ \frac{2}{x} + \frac{4}{x} } ) = 2 {}^{12} \)
\(\qquad \sf \dashrightarrow \:(2 {}^{ \frac{6}{x} } ) = 2 {}^{12} \)
Now, since the base on both sides are equal, therefore their exponents are equal as well ~
\(\qquad \sf \dashrightarrow \: \dfrac{6}{x} = 12\)
\(\qquad \sf \dashrightarrow \:x = \dfrac{6}{12} \)
\(\qquad \sf \dashrightarrow \:x = \dfrac{1}{2} \)
or
\(\qquad \sf \dashrightarrow \:x = 0.5\)
Hope you got the required Answer ~
Nancy found that x=1 is one solution to the quadratic equation (x+2)2=a. What is the value of a?
-9
-3
3
9
Answer:
the answer is a
Step-by-step explanation:
i literaly just tookthetest on edginuity
Answer:
a = 9
Step-by-step explanation:
First we substitute 1 into the quadratic equation :
(x+2)² = a
(1+2)² = a
(3)² = a
3×3 = a
a = 9
Hope you understood, hope this helped and brainliest please.
What is the slope of this line? the equation for a line that passes through the points (5,-3) and (-10,15)?
Part 1: Finding slope
The slope is \(\frac{-3-15}{5-(-10)}=\frac{-18}{15}=\boxed{-\frac{6}{5}}\)
Part 2: Finding the equation
Using the point (-10, 15) to substitute into point-slope form,
\(y-15=-\frac{6}{5}(x+10)\\\\y-15=-\frac{6}{5}x-12\\\\\boxed{y=-\frac{6}{5}x+3}\)
Answer:
Using the given points we find that the slope is -1.2 and using the slope-point form we find that the equation of line is y+1.2x = 3.
Step-by-step explanation:
In the question, two points are given, (5,-3) and (-10,15). Using them we can find the slope using the formula, (y2 - y1) / (x2 - x1). So, the slope is
(-3-15) / (5+10) = -18 / 15 = -1.2
Now, we have to find the equation of line. We have two points and a slope. Using any one point and the slope, we can find the equation of line using slope-point form of line. Let us take (5,-3).
(y+3) / (x-5) = -1.2
y+3 = -1.2(x-5)
y+3 = -1.2x + 6
y+1.2x = 3
So, the slope of line is -1.2 and the equation of line is y+1.2x = 3.
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Find the value of x and y in simplified radical form.
x and y have the values 7 and 7√2, respectively.
The sides of a right triangle with 45-degree acute angles have a unique ratio of 1:1:2.
We can use this information to determine the values of x and y because the base is specified as being 7.
Let's give the perpendicular side the value of x, and the hypotenuse the value of y.
The perpendicular side (x) and the base (7) have the same length because the acute angles are both 45 degrees.
Consequently, x = 7.
We can determine that x:y:2x using the ratio of 1:1:2.
When we enter the value of x, we may calculate y:
7:y:√2(7)
Simplifying even more
7:y:7√2
Given that the hypotenuse (y) equals 72, we can write:
y = 7√2
Thus, x and y have the values 7 and 7√2, respectively.
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How many fish a are in the box
Answer:
Where is the box?
Step-by-step explanation:
So I can help you
Solve for x. 7.5x/11=4.8/5
The value of the variable is 1. 40
How to determine the valuewe need to know that algebraic expressions are described as expressions that are made up of term, variables, constants, factors and coefficients.
these algebraic expressions are also made up of arithmetic operations.
These arithmetic operations are listed as;
BracketDivisionAdditionSubtractionMultiplicationParenthesesFrom the information given, we have that;
7.5x/11=4.8/5
cross multiply the values, we get;
7.5x(5) = 4.8(11)
multiply the values
37. 5x = 52. 8
Divide both sides by the coefficient of x, we get;
x = 1. 40
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In a bag there are 3 red marbles, 2 yellow marbles, and 1 blue marble. What is the likelihood of a yellow marble being selected on the first draw?
likely
unlikely
even chance
certain
Therefore, it is not even chance, but it is also not very unlikely. It is moderately likely that a yellow marble will be selected on the first draw.
What is Probability?Probability is a branch of mathematics that deals with the study of random events and their likelihood of occurring. It is a measure of the likelihood or chance of an event happening. Probability is expressed as a number between 0 and 1, where 0 means the event is impossible, and 1 means the event is certain.
In other words, probability is a way of quantifying uncertainty. It is used in various fields, such as statistics, physics, finance, engineering, and more, to help make predictions and decisions based on uncertain information. Probability theory provides a set of rules and tools for analyzing and manipulating random variables and events, and for calculating the probability of complex events.
The likelihood of a yellow marble being selected on the first draw can be calculated by dividing the number of yellow marbles by the total number of marbles in the bag:
likelihood of selecting a yellow marble = number of yellow marbles / total number of marbles
So, in this case, the likelihood of selecting a yellow marble on the first draw is:
likelihood of selecting a yellow marble = 2 / (3 + 2 + 1) = 2/6 = 1/3
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write each info entire radical √48
The value of the radical √48 is 4√3.
Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.
Here, we are given the radical √48
To find the value of the radical, we will factorize 48
i.e., 48 = 2×2×2×2×3
= 16×3
Now, the square root of 48, that is, √48
= \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)
We know 16 is a perfect square of 4, that is, the square root of 16= 4
⇒√16=4
Using this, we have √48= 4√3
The correct answer is 4√3.
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f(x)=2x-8 and g(x)=1/2x+4
compose the two given functions and simplify
Composing f(x)=2x-8 and g(x)=1/2x+4 results in the identity function, f(g(x)) = x.
How to compose f(x)=2x-8 and g(x)=1/2x+4To compose the two functions, we substitute g(x) into f(x) in place of x:
f(g(x)) = 2(g(x)) - 8
= 2(1/2x + 4) - 8
= x + 8 - 8
= x
Therefore, composing the two functions results in the identity function, f(g(x)) = x.
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please please help last text then finals l give brainliest
1. The x - intercepts of the parabola are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex of the parabola is at (5, 80).
What is a parabola?A parabola is a curved shape
1. Given the parabola above, to find the x - intercepts, we proceed as follows.
The x-intercepts are the points at which the graph cuts the x-axis.
They are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.
The plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex is the maximum point on the graph.
So, we see that the vertex is at x = 5 s and y = 80 ft
So, the vertex is at (5, 80).
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4(1-x)<16 solve and graph
Answer: (x > -3).
Step-by-step explanation:
To solve the inequality 4(1 - x) < 16, we will simplify and solve for x:
4(1 - x) < 16
Distribute the 4:
4 - 4x < 16
Subtract 4 from both sides:
-4x < 12
Divide both sides by -4. Note that when dividing by a negative number, the inequality sign flips:
x > -3
The solution to the inequality is x > -3. This means that x must be greater than -3 for the inequality to hold true.
To graph the solution on a number line, we mark a shaded region to the right of -3, indicating that all values greater than -3 satisfy the inequality:
The open circle at -3 indicates that -3 is not included in the solution since the inequality is strict (x > -3).
here's the graph for 4(1-x)<16
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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Child Health and Development Studies (CHDS) has been collecting data about expectant mothers in Oakland, CA since 1959. One of the measurements taken by CHDS is the weight increase (in pounds) for expectant mothers in the second trimester. In a fictitious study, suppose that CHDS finds the average weight increase in the second trimester is 14 pounds. Suppose also that, in 2015, a random sample of 45 expectant mothers have mean weight increase of 16.3 pounds in the second trimester, with a standard deviation of 5.9 pounds. A hypothesis test is done to see if there is evidence that weight increase in the second trimester is greater than 14 pounds. Find the p -value for the hypothesis test. The p -value should be rounded to 4 decimal places.
Answer:
0.9955
Step-by-step explanation:
Given :
Mean weight increase , μ = 14
Sample mean weight increase , xbar = 16.3
Standard deviation, s = 5.9
Sample size, n = 45
Hypothesis :
H0 : μ = 14
H1 : μ > 14
The test statistic : (xbar - μ) ÷ (s/sqrt(n))
Test statistic = (16.3 - 14) ÷ (5.9/sqrt(45))
Test statistic = 2.3 / 0.8795200
Test statistic = 2.615
The Pvalue :
P(Z < 2.615) = 0.99554
Hence, pvalue = 0.9955 (4 decimal places).
In the space provided below,
1) Write an example of a closed declarative statement.
2) Write an example of an open declarative statement.
Declarative sentences are those which state a fact, describe something, or make a statement. A declarative sentence is a simple statement that gives some information. It ends with a period and always has a subject and a predicate.
1. Example of a closed declarative statement: A closed declarative sentence is one that has only one answer and cannot be disputed.
An example of a closed declarative statement would be: The capital of France is Paris. This is a closed declarative statement because there is no other city that is the capital of France other than Paris.
2. Example of an open declarative statement: An open declarative sentence is one that may have many possible answers and may be disputed.
An example of an open declarative statement would be: The best pizza topping is pepperoni. This is an open declarative statement because some people may disagree and have their own preferences about pizza toppings.
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12 dozen pieces of gum to a box 12 full boxes 1 ooen bix with 32 how many pieces of gum n all
The number of gums available, with the 12 boxes, each containing 12 dozens of gums and one open box containing 32 gums, found using the values of the non verbal units of measure, indicates that the number of gums are 1760 gums.
What is a non verbal unit of measure?Non verbal units of measure are used to describe the quantity of an item using verbal terms such as pairs (2 units), dozens (12 units), scores (20 units), gross (12 dozens or 144 units), bushels (8 gallons or 4 pecks), ream (500 units).
The number of dozens of pieces of gum are in a box = 12 dozens
The number of boxes of gum available = 12 boxes
The remaining number of gums = 1 open box with 32 gums
1 dozen of an items = 12 units of the specified item
12 dozens of an item = 1 gross of the item
The number of pieces of gums in a box, therefore is 1 gross of gums.
Therefore, the number of pieces of gum in all = 12 × 12 × 12 + 32 = 1760
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Bigco Corporation is one of the nation’s leading distributors of food and related products to restaurants, universities, hotels, and other customers. A simplified version of its recent income statement contained the following items (in millions).
Cost of sales $ 11,571
Income taxes 249
Interest expense 23
Net earnings 1,442
Sales 16,400
Earnings before income taxes 1,691
Selling, general, and administration expense 3,543
Other revenues 428
Total expenses (excluding income taxes) 15,137
Total revenues 16,828
Prepare an income statement for the year ended June 30, current year. (Hint: First order the items as they would appear on the income statement and then confirm the values of the subtotals and totals.)
Step-by-step explanation:
I hope this answer is helpful ):
Which of the following choices are equivalent to the expression below? Check all that apply x8/5
5 is the denominator of the fraction, so you can pull the denominator out as a radical to get A. (x^8)^1/5 or D. \(\sqrt[5]{x^8}\)
- 8 - 7(2x + 3) = 3(1 - 10) simplified
Find the population mean or sample mean as indicated.Sample: 19, 15, 6, 11, 24Required:Compute the sample mean for this data set.
Answer:
The sample mean is 15.
Step-by-step explanation:
We have given data 19, 15, 6, 11, 24.
We are required to find the sample mean. The sample mean can be determined by adding all the given value and then divide by the total numbers or how many numbers. Below is the calculation of the mean.
Sample mean = (19+ 15 +6 +11 +24) / 5
Sample mean = 75 / 5
Sample mean = 15
Therefore the sample mean of the given data is 15.
a vehicle uses 2 1/8 gallon of gasoline to travel 12 3/4 miles. At this rate, how many miles can the vehicle travel per gallon
Answer:
The answer is obtained by dividing 13.5 by 1.125 (1 1/8th) = 12 miles per gallon
b) 8xy +4y² factorise
Answer:
The answer is: 4y(2x+y)
Step-by-step explanation:
Find the numerical value of the area under the standard normal curve that is above the mean
Answer:
0.5
Step-by-step explanation:
The standard normal curve is symmetrical about the mean, which is also the median and the mode.
That means half the area is above the mean. The whole curve has an area of 1, so ...
the numerical value of the area above the mean is 0.5
3 days 22 hours equals how many hours
Answer:
94 hoursStep-by-step explanation:
3 days = 3×24 =72total hours= 72 + 22 = 94I really need help
Answer:
A and D
Step-by-step explanation:
Hope this helps!
what is 6+5/7 converted into a mix number
Answer:
47/7
Step-by-step explanation:
I think the answer is 6 5/7 or 47/4
Answer:
6 5/7
Step-by-step explanation:
Hope this helps!
Best of luck! ♥
Am I right? They want us to round to the nearest degree. I got 72 degrees. Answer ASAP