Answer:1/4
Step-by-step explanation:
Evaluate the expression -7(-6)+12
Answer: 54
Step-by-step explanation: coz I juss know
Fraction………………..::::::
Answer:
0.45
Step-by-step explanation:
\(\huge\textbf{Hey there!}\)
\(\mathsf{\dfrac{12}{25}\times\dfrac{15}{16}}\)
\(\mathsf{= \dfrac{12\times15}{25\times16}}\)
\(\mathsf{= \dfrac{180}{400}}\)
\(\mathsf{= \dfrac{180\div5}{400\div5}}\)
\(\mathsf{= \dfrac{36}{80}}\)
\(\mathsf{= \dfrac{36\div4}{80\div4}}\)
\(\mathsf{= \dfrac{9}{20}}\)
\(\huge\textbf{Therefore, your answer is: \boxed{\mathsf{\dfrac{9}{20}}}}\huge\checkmark\)
\(\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}\)
~\(\frak{Amphitrite1040:)}\)Trisha uses 3 cups of sugar for every 2 teaspoons of baking soda to make a batch of cookies. Which proportion could be solved to find X, the number of teaspoons of baking soda needed for 9 cups of sugar?
Answer:
Heres how to solve.
Step-by-step explanation:
3 cups of sugar for every 2 teaspoons of baking soda.
So 6 cups of sugar for 4 teaspoons of baking soda.
And 9 cups of sugar for 6 teaspoons of baking soda.
Basically you just multiply by 3, 3×3=9 and 2*3=6
The number of teaspoons of baking soda Trisha needed will be 6.
It is given that Trisha uses 3 cups of sugar for every 2 teaspoon of baking soda.
We have to find out that what will be the number of teaspoons of baking soda needed for 9 cups of sugar.
If a car goes 10 km in two hours , how far will it go in one hour ?
The car will go, 10 ÷ 2 = 5 km in an hour.
As Trisha uses 3 cups of sugar for every 2 teaspoons of baking soda.
For 1 cup of sugar Trisha will have to use 2/3 teaspoons of baking soda .
For 9 cup of sugar Trisha will use ;
= (2/3) × 9 = 18 ÷ 3
= 6
So, Trisha will have to use 6 teaspoons of baking soda for 9 cups of sugar.
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Michelle had 600 fish to feed the dolphins in a zoo. Each dolphins ate the same number of fish. There are 9 dolphins in all. How many fish did Michelle have left?
Which mathematical concepts were the result of the work of René Descartes? Check all that apply. theory of an Earth-centered universe formula for the slope of a line Pythagorean theorem for a right triangle problem solving by solving simpler parts first Cartesian plane for graphing trusting previous teachers for knowledge
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs.
We have,
The Pythagorean theorem that relates to the sides of a triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (known as the legs). Mathematically, it can be expressed as a² + b² = c², where "a" and "b" are the lengths of the legs, and "c" is the length of the hypotenuse.
Now,
In a right triangle, the legs are the two sides that form the right angle, and the hypotenuse is the side that is opposite to the right angle. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs. So, the relationship between the legs and the hypotenuse can be described by this theorem. In other words, if we know the length of the two legs of a right triangle, we can use the Pythagorean theorem to find the length of the hypotenuse, and vice versa. The hypotenuse is always the longest side of the right triangle, and it is also the side that connects the two legs.
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complete question:
Applying the Pythagorean Theorem In this activity, you will explain your understanding of mathematical relationships and use the Pythagorean theorem to solve real-world problems. Question 1 In your own words, explain the relationship between the legs and the hypotenuse of a right triangle.
what is the percent of change for your grade if originally you got 5 questions right and you checked your work and ended up with 15 questions right
Answer:
To calculate the percent of change, you will need to find the difference between the original score and the revised score and divide that by the original score. Then, multiply the result by 100 to express the answer as a percentage.
In this case, the difference between the original score (5 questions right) and the revised score (15 questions right) is 10 questions. Dividing this by the original score of 5 questions gives you a result of 2. Multiplying this by 100 gives you a percent of change of 200%. This means that your revised score is 200% higher than your original score.
Step-by-step explanation:
The equation z = 30x represents a(n) _____ variation.
a. direct
b. joint
c. inverse
d. combined
The equation z = 30x represents a direct variation the two variables, z and x, are directly proportional to each other. a.
Direct variation can be defined as a relationship between two variables where their values increase or decrease at the same rate.
In the case of the given equation, as x increases, z also increases proportionally.
Similarly, if x decreases, z will also decrease proportionally.
Direct variation can be represented as y = kx, where y and x are the variables, and k is the constant of variation.
In the given equation, we can see that z is the dependent variable, and x is the independent variable.
We can rewrite the equation as z = kx, where k = 30.
To understand how direct variation works, let's consider an example. Suppose we have an equation y = 5x, where y represents the cost of buying x apples at $5 per apple.
Here, the cost of buying apples is directly proportional to the number of apples purchased.
For instance, if we buy 10 apples, the total cost will be 10 × $5 = $50.
Similarly, if we buy 20 apples, the total cost will be 20 × $5 = $100.
Thus, we can see that the cost increases as the number of apples purchased increases, and vice versa.
The given equation z = 30x represents a direct variation is a type of relationship between two variables where their values increase or decrease proportionally.
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SEE ATTACHED IMAGE, THANK YOU!
Answer:
a)
X P[X]
0 5/14
1 15/28
2 3/28
b)
The expected value is 0.75
Step-by-step explanation:
Ok, we know that out of 8 cameras, 3 are defective.
So first let's find the probability for a camera randomly selected to be defective.
This is just the quotient between the number of defective cameras and the total number of cameras.
p = 3/8
then the probability that a camera is not defective is:
q = 5/8.
Ok, now we draw 2 cameras at random from the box.
We can define X as the number of defective cameras in these two drawn, we can have 3 possible values of X.
X = 0 (neither of the cameras is defective)
X = 1 (one of the cameras is defective)
X = 2 (both of the cameras is defective).
Let's find the probabilities for each case.
X = 0.
In this case, we first draw a non-defective camera, with a probability of:
P = 5/8.
The second camera drawn must be also non-defective, but now there are 4 non-defective cameras in the box and a total of 7 cameras (because one was already drawn).
Then the probability now is:
Q = 4/7
The joint probability is the product of the two individual probabilities:
P[0] = P*Q = (5/8)*(4/7) = (5/14)
X = 1
Here we have two cases:
the first is defective and the second is non-defective
the first is non-defective and the second is defective
So we just have a factor of 2, to consider both cases
Assuming the first case
Probability of drawing first a defective camera is equal to the quotient between the number of defective cameras and the total number of cameras:
P = 3/8
For the second draw we want to get a non-defective camera, here the probability is equal to the number of non-defective cameras remaining (5) and the total number of cameras (7, because we drawn one)
Q = 5/7
The joint probability, taking in account the permutation, is
P[1] = 2*P*Q = 2*(3/8)*(5/7) = (15/28)
finally, for X = 2
This is the case where we draw two defective cameras, we can use a similar approach as the one used in the first case:
For the first camera:
P = 3/8
For the second camera:
Q = 2/7
Joint probability:
P[2] = (3/8)*(2/7) = 3/28
then we have the table:
X P[X]
0 5/14
1 15/28
2 3/28
b)
The expected value for an event that has the outcomes:
{x₁, x₂, ..., xₙ}
Each one with the correspondent probability
{p₁, p₂, ..., pₙ}
is defined as:
EV = x₁*p₁ + x₂*p₂ + ... + xₙ*pₙ
Then in our case, the expected value is just:
EV = 0*P[0] + 1*P[1] + 2*P[2]
EV = 0 + 15/28 + 2*3/28
EV = (15 + 6)/28 = 21/28 = 0.75
given g(x) = 2x/x-2, x≠2. find g²(x)
Answer:
x
Step-by-step explanation:
\(g^2 (x)=\frac{2\left(\frac{2x}{x-2} \right)}{\frac{2x}{x-2}-2} \\ \\ =\frac{4x}{2x-2(x-2)} \\ \\ =\frac{4x}{4} \\ \\ =x\)
given the following venn diagram, where a and b are each represented by an oval: exam image which regions make up ( aexam imagebc )c?
The correct answer is U - II = I + III + IV.
In order to solve problems based on these sets, we can use a Venn diagram to depict the logical relationship between sets and their components. Although other closed figures like squares may be used, a Venn diagram commonly uses intersecting and non-intersecting circles to indicate the relationship between sets.
c represent the compliment of the particular state.
U is the union set
∩ represent intersection between the neighbouring sets
Therefore,
Bc = U - B = I + II
Bc∩A = Area common in Bc and A = II
(Bc∩A)c = Area in U but not in (Bc∩A) = U - II = I + III + IV
So, answer is d.
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What is a formula for the nth term of the given sequence? 250, 100, 40...
Answer:
The formula for the nth term of the sequence is \(A_n =250(\frac{2}{5})^{n-1}\)
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient of consecutive terms is always the same, called common ratio.
The equation is given by:
\(A_n = a_1q^{n-1}\)
In which \(a_1\) is the first term and r is the common ratio.
250, 100, 40
First term is 250, so \(a_1 = 250\)
Common ratio is \(r = \frac{40}{100} = \frac{100}{250} = \frac{2}{5}\)
So
\(A_n = a_1q^{n-1}\)
\(A_n =250(\frac{2}{5})^{n-1}\)
The formula for the nth term of the sequence is \(A_n =250(\frac{2}{5})^{n-1}\)
-4 is greater than of equal to x - 11
Using the inequality rule we know that 11 is greater than -11, (11 > -11).
What is an Inequality Equation?Mathematical expressions with inequalities are those in which the two sides are not equal.
Contrary to equations, we compare two values in inequality.
Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Two expressions in inequality aren't always equal, which is denoted by the symbols >, <, ≤, or ≥.
So, let's say the inequality equation looks like this: A
Right now, A is valued at
Let p be used to representing the initial number.
P equals 11, so
Let q be used to representing the second number.
Q has a value of -11.
-11 and 11 are both numbers that are greater than zero.
Then, 11 > -11 ... (1)
A has a value of 11 > -11.
Therefore, using the inequality rule we know that 11 is greater than -11, (11 > -11).
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Correct question:
Is 11 greater than, equal to, or less than -11?
20 dogs decreased by 20%
Answer:
15 DOGGGSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Step-by-step explanation:
F(x)=3x-1 and g(x)=x+2 find (f-g)(x)
\( \large \boxed{(f - g)(x) = f(x) - g(x)}\)
We subtract the f(x) by g(x) which means that we subtract 3x-1 from x+2.
\( \large{(f - g)(x) = (3x - 1) - (x + 2)}\)
Cancel the parentheses by distributing the negative sign in x+2.
\( \large{(f - g)(x) = 3x - 1 - x - 2}\)
Combine like terms.
\( \large{(f - g)(x) = 2x - 3}\)
Answer
(f-g)(x) = 2x - 3Hope this helps! Let me know if you have any doubts.
Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation. What are the values a, b, and c in the following quadratic equation? -3x^2 -5x +9 =0
Answer:
The quadratic equation is in the standard form: ax^2 + bx + c = 0. To use the quadratic formula to find the solutions, we need to identify the values of a, b, and c in the equation:
a is the coefficient of the x^2 term, which is -3 in this case.
b is the coefficient of the x term, which is -5 in this case.
c is the constant term, which is 9 in this case.
Therefore, the values of a, b, and c in the quadratic equation -3x^2 - 5x + 9 = 0 are:
a = -3
b = -5
c = 9
how can you find the area and perimeter?
After answering the presented questiοn, we can cοnclude that The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape
What is equatiοn?An equatiοn in mathematics is a statement that states the equality οf twο expressiοns. An equatiοn is made up οf twο sides that are separated by an algebraic equatiοn (=). Fοr example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpοse οf equatiοn sοlving is tο determine the value οr values οf the variable(s) that will allοw the equatiοn tο be true.
The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape. Here are sοme cοmmοn fοrmulas:
1. Rectangle:
• Area: A = length x width
• Perimeter: P = 2(length + width)
2. Square:
• Area: A = side x side (οr A = side²)
• Perimeter: P = 4 x side
3. Circle:
• Area: A = π x radius²
• Circumference (perimeter): C = 2π x radius (οr C = π x diameter)
4. Triangle:
• Area: A = (base x height) / 2
• Perimeter: P = side1 + side2 + side3
5. Trapezοid:
• Area: A = ((base1 + base2) x height) / 2
• Perimeter: P = side1 + side2 + side3 + side4
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Which table corresponds to the equation y = -3x -2?
Whoever gets it right gets 50 points!
Answer:
A.
Step-by-step explanation:
x y
-2 4
-1 1
0 -2
1 -5
2 -8
5 * 3/5 i need help please
Answer:
3
Step-by-step explanation:
Order of operations.
5*3/5 is basically the same as 5 times 3 divided by 5. If you are multiplying 5 by 3, and then dividing that same number from the answer, which is 5, then you will get the same number you multiplied by, or 3.
Classify the triangle
The triangle in the figure is classified as Obtuse scalene triangle.
What is obtuse scalene triangle?A triangle is said to be obtuse scalene in geometry if one of its angles is larger than 90 degrees but less than 180 degrees, while the other two angles are both less than 90 degrees. Measurements for the three sides and angles vary.
According to the question given:
Three angles of the triangle are 120°, 35° and 25°
In this triangle, 120° is the angle greater than 90 °but less than 180° and other two angle i.e, 35° and 25° are less than 90°. Aslo, three sides are different in measurement
Hence, The triangle is classified as Obtuse scalene triangle.
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The profit, P, realized by a company varies directly as the number of products it sells. If a company makes a profit of $7800 on the sale of 325 products, what is the profit when the company sells 5000 products?
A.80000
B.100000
C.120000
D.60000
Answer:
C) 120,000
Step-by-step explanation:
Let's use fractions.
7800 = x
---------- -------- . 325 5000 What we are going to do is multiply 325 times x and 7800 times 5000 . 7800 times 5000 equals 39,000,000. 325 times x equals 325x. The reason why we put the info this way is because we are trying to find the profit for a certain number of products . If we were trying the number of products we would put 5000 on top and the x on the bottom of the fraction the n croos multiply but this is not the case.
39,000,000 = 325x
----------------- --------
325 325
Next, we are going to divide 325 on both sides to get x ( in this case x equals the answer) by itself.
39,000,000 /325 = 120,000
325x / 325 = x
x = 120,000
What is the quadrant of 0 6?
Answer:
it depends im pretty sure that you mean y and x cord so answer is 0 x 6 y
Step-by-step explanation:
or 0 X so width or y height 6 Y
One rectangle is "framed" within another. Find the area of the shaded region if the "frame" is 3 units wide.
The area of the shaded region, with a frame of 3 units wide, is 264 square units. The inner rectangle is 6x4 units, and the outer rectangle is 18x16 units.
To solve the given problem, we have to find the area of the shaded region if the frame is 3 units wide. If the frame is 3 units wide, then the dimensions of the inner rectangle (the shaded region) will be (12 - 6) × (10 - 6) which simplifies to 6 × 4.
Therefore, we can say that the inner rectangle has a length of 6 units and a width of 4 units.The dimensions of the outer rectangle are (12 + 3 + 3) × (10 + 3 + 3) which simplifies to 18 × 16. Therefore, we can say that the outer rectangle has a length of 18 units and a width of 16 units.
The area of the shaded region can be obtained by subtracting the area of the inner rectangle from the area of the outer rectangle. Therefore, the Area of the outer rectangle = length × width= 18 × 16 = 288 square units
Area of the inner rectangle = length × width= 6 × 4 = 24 square units
Area of the shaded region = Area of the outer rectangle - Area of the inner rectangle = 288 - 24= 264 square units
Therefore, the area of the shaded region is 264 square units.
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A salesperson at a jewelry store earns 5% commission each week. Last week, Heidi sold 640 worth of jewelry. How much did Heidi make in commission? How much did the jewelry store make from sales?
Answer:
12,800 Dollars USD
Step-by-step explanation:
PLEASE HELP ASAP
solve -1/6[3-15(1/3)2]
Answer:
C) -2/9
Step-by-step explanation:
\(\displaystyle -\frac{1}{6}\biggr[3-15\biggr(\frac{1}{3}\biggr)^2\biggr]\\\\=-\frac{1}{6}\biggr[3-15\biggr(\frac{1}{9}\biggr)\biggr]\\\\=-\frac{1}{6}\biggr[3-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{27}{9}-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{12}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{4}{3}\biggr]\\\\=-\frac{4}{18}\\\\=-\frac{2}{9}\)
Answer:
Hence, Option (C) - 2/9 is the Answer:
Step-by-step explanation:
-1/6 [3 -15(1/3)^2]
-1/6(3 -15)(1/9))
-1/6(3 - 5/3)
-1/6 (4/3)
Hence, Option (C) - 2/9 is the Answer:
I hope it helps!
Use the model below to calculate 9÷1/3.
A green rectangle is divided into 9 equal parts arranged into 3 rows of 3 cells each.
A.
9/3
B.
3/9
C.
13 1/2
D.
27
Using thie model ,The answer is D. 27.
To calculate 9÷1/3 using the model below, we can imagine dividing the green rectangle into thirds vertically. Each third would contain 3 cells.
Then, we can see that there are a total of 9 cells in the rectangle. Since we are dividing by 1/3, we need to find out how many sets of 1/3 are in 9.
We can see that there are 3 sets of 1/3 in each row (since each row contains 3 cells, which are thirds). So, in total, there are 3 rows of 3 sets of 1/3, which gives us:
9÷1/3 = 3 rows x 3 sets of 1/3 = 9 sets of 1/3 = 27
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Choose the correct answer below
The correct statement is;
False, because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be x = 2π/3 + 2nx and x = 4π/3 + 2nx.
Option D
How to determine the statementFrom the information given, we have that;
All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx
There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx
Such that n is an integer.
This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.
The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.
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Which of the following is most likely the next step in the series?
Answer:
Choice C. is the answer
Step-by-step explanation:
greetings !!
just following the series the
First starts with simple square which have four sides.The second have five sides which is a Pentagon.The third one will have a hexagon or six side shape.Then, finally it will be preceded by a heptagon which is a seven sided have in regard to the series.If any questions and unclear ideas tag on comment box.
Hope it helps!!!
Which line is parallel to the line that passes through the points (1,7) and (-3, 4)? A.y=-3/4x-5 B.y=3/4x+1 C.y=4/3x-8 D. y=11/4x+3
Answer:
Option B is the correct option
\(\begin{gathered} y=\frac{3}{4}x+1 \\ \\ is\text{ the line parallel to the line that passes through the given points} \end{gathered}\)Explanation:
Given the points (1, 7) and (-3, 4), we want to find the line that is parallel to the line that passes through them.
Let us find the slope of the given line, using the formula:
\(S=\frac{y_2-y_1}{x_2-x_1}\)Here:
\(\begin{gathered} x_1=1 \\ y_1=7 \\ x_2=-3 \\ y_2=4 \end{gathered}\)Using these, the slope is:
\(\begin{gathered} S=\frac{4-7}{-3-1} \\ \\ =\frac{-3}{-4} \\ \\ =\frac{3}{4} \end{gathered}\)The slope is 3/4.
Any other line that has a slope 3/4 would be parallel to the line that passes through the given points.
simplify the equation
What is the sum of \-2 and \-18
Answer:
-20
Step-by-step explanation:
-2 + -18 = -20