A affects the slope of the graph.
When a is less than 1, the amplitude of the graph decreases which causes the slope of the graph to appear more flat.
When a is greater than 1, the amplitude of the graph increases which causes the slope of the graph to appear more steep.
Let A, B and C be subsets of the
Set U .Draw the venn diagram
of the following
(AUB)nC and (AnB)UC
(AnB)-C and (A-B)-C and
(A-(BUC))U(B-(AUC))
The Venn diagram based on the information is attached.
What is a Venn diagram?It should be noted that a Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things
For two sets X and Y, X∩Y is the set containing all the elements that are both in X and Y.
X∪Y is the set containing all the elements that are either in X or Y or both.
So, B∩C={c,g}
A∪(B∩C)={a,b,c,e,f,g}
The Venn diagram is below in which the shaded region represents A∪(B∩C),
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Let A={a,b,c,e,f},B={c,d,e,g} and C={b,c,f,g} be subsets of the set
U={a,b,c,d,e,f,g,h}.
Draw Venn diagrams to represent the following sets :
A∪(B∩C)
9n^2 - 24 + 16
please help
Answer:
lol the answer is the second one
find the value of (- 7) +(-8)
Step-by-step explanation:
Given
(-7) + ( -8)
= -7 - 8
= -15
Hope it helps :)
eight hundred twenty nine and six tenths as a decimal
How many ways are there to place 3 indistinguishable red chips, 3 indistinguishable blue chips, and 3 indistinguishable green chips in the squares of a 3 x 3 grid so that no two chips of the same color are directly adjacent to each other, either vertically or horizontally?
A. 12,
B. 18,
C. 24,
D. 30 ,
E. 36
Answer:
E. 36
Step-by-step explanation:
Let:
\(C_1 =\) color 1
\(C_2 =\) color 2
\(C_3 =\) color 3
Case I
C₂ C₃ C₂
C₃ C₁ C₃
C₁ C₂ C₁
Since C₁ has 3 choices, then C₂ has 2 choices and C₁ has 1 choice
number of combinations = 3 × 2 × 1 = 6
Case II
C₂ C₃ C₁
C₃ C₁ C₂
C₂ C₃ C₁
Since C₁ has 3 choices, then C₂ has 2 choices and C₁ has 1 choice
number of combinations = 3 × 2 × 1 = 6
Case III
C₁ C₃ C₂
C₂ C₁ C₃
C₃ C₂ C₁
Since C₁ has 3 choices, then C₂ has 2 choices and C₁ has 1 choice
number of combinations = 3 × 2 × 1 = 6
Case IV
C₂ C₃ C₁
C₃ C₁ C₂
C₁ C₂ C₃
Since C₁ has 3 choices, then C₂ has 2 choices and C₁ has 1 choice
number of combinations = 3 × 2 × 1 = 6
Case V
C₁ C₂ C₁
C₃ C₁ C₃
C₂ C₃ C₂
Since C₁ has 3 choices, then C₂ has 2 choices and C₁ has 1 choice
number of combinations = 3 × 2 × 1 = 6
Case VI
C₁ C₂ C₃
C₃ C₁ C₂
C₁ C₂ C₃
Since C₁ has 3 choices, then C₂ has 2 choices and C₁ has 1 choice
number of combinations = 3 × 2 × 1 = 6
Therefore, the total combinations = 6 + 6 + 6 + 6 + 6 + 6
= 36
Expand & simplify
(x + 3) (x+ 1)
A survey of undergraduates revealed the follwoing information: WOMEN MENsample mean weight 124.7 183.3sample standard deviation of weight 23.32 25.41sample proportion Roman Catholic 0.40 0.32Sample mean GPA 3.34 3.24Sample standard deviation of GPA 0.35 0.44Sample size 20 25Assume the populations are normally distributed. Suppose you want to determine whether the proportion of SCU women who are Roman Catholic is greater than the proportion of SCU men that are Roman Catholic.a. What are the null and alternative hypothesis to run this test?b. What is the calculated value of the test statistic?c. What is the p-value of the calculated test statistic?d. What is the conclusion of the hypothesis test, at 5% the significance level?
Answer:
the answers are below:
Step-by-step explanation:
a. null hypothesis:
H0: Pw - Pm = 0 (so Pw = Pm)
alternate hypothesis:
H1: Pw - Pm > 0 (so Pw > Pm)
where Pw is the proportion of women
Pm is the proportion of men
b.) proportion of women = o.40
proportion of men = 0.32
sample size of women = 20
sample size of men = 25
\(z = 0.4 - 0.32/ \sqrt{((0.4 *0.6)/20) * (0.32 * 0.68)/25)}\)
\(z = 0.56\)
c.) p value =
p(z>0.56)
= 0.7123
= 1 - 0.7123
= o.2877 which can be approximated to be 0.288
d. alpha value was set at 0.05
the p value is greater than alpha.
therefore it is not statistically significant.
we conclude that the proportion of roman catholic women is not greater than men.
Which equation is modeled below?
O 2x+(-2)=-2x+
O 4x+(-2)=-2x+6
O 2x+4 = 6x + 2
O-2x+4=6x+(-2)
Answer:
4x + (-2) = -2x+6
Step-by-step explanation:
im not gonna explain a diagram but it won't let me submit.
solve the system of equation for y using cramer's rule. hint: the determinant of the coefficient matrix is 4.
Cramer's rule states that the solution to a system of equations can be determined by taking the determinant of the coefficient matrix, which in this case is 4, and then dividing each equation's determinant of the corresponding matrix by the determinant of the coefficient matrix. This allows us to solve for the variable y.
Cramer's Rule is a method used to solve systems of linear equations. It states that the solution to a system of equations can be determined by taking the determinant of the coefficient matrix and then dividing each equation's determinant of the corresponding matrix by the determinant of the coefficient matrix. This gives us the solution for the variable y. To calculate the determinant of the coefficient matrix, we take the product of the diagonal elements and subtract the product of the elements that are not on the diagonal The determinant is calculated by taking the product of a and d, and then subtracting the product of b and c. Once we have the determinant of the coefficient matrix, we can calculate the determinants of each equation's corresponding matrix by replacing the y in the equation with 1 and the other coefficients with the original coefficients of the equation. We then divide each equation's determinant by the determinant of the coefficient matrix to solve for y. This method is useful as it allows us to solve a system of equations with multiple variables in a quick and efficient manner.
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Evaluate the following expression.
(-3)0
Answer here
The expression (-3)0 has a value of 0 when evaluated because a number multiplied by 0 gives 0
Evaluating the expression (-3)0From the question, we have the following parameters that can be used in our computation:
(-3)0
The above statement is a product expression that multiplies the values of -3 and 0
Also, there is no need to check if there are like terms in the expression or not
This is because we are multiplying the factors
So, we have
(-3)0 = 0
This means that the value of the expression is 0 i.e a number multiplied by 0 gives 0
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House contents insurance is charged at the rate of $4.50 per thousand dollars worth of the contents. How much is the insurance if the contents are worth $13 600?
Answer:
188.5
Step-by-step explanation:
13 times 4.50 is 188.5 and theres 13,000
show that the volume of the unit cube is one
Check the picture below.
Q3. Given that the area of sector below is 85cm^2 work out its radius, marked p on the
diagram.
Give your answer correct to 1 decimal place
The radius of the circle, marked p on the diagram, is approximately 5.8 cm.
What is radius?Radius is a term used in geometry to describe the distance from the center of a circle to any point on the circumference. It is a line segment that has its two endpoints at the center of the circle and at any point on the circumference.
The area of a sector is equal to the fraction of the circle's area that the sector occupies multiplied by the area of the entire circle.
Therefore, the area of the sector is equal to (θ/360) × πr^2.
Since the area of the sector is given as 85 cm^2, we can rearrange the equation to get:
85 = (θ/360) × πr^2
Rearranging further, we get:
r^2 = (85 × 360)/(πθ)
Taking the square root of both sides, we get:
r = √((85 × 360)/(πθ))
Since the angle θ is not given, we cannot solve for r. However, we can approximate the angle θ to be equal to 360° since the sector occupies the entire circle.
Therefore, the radius of the circle is equal to:
r = √((85 × 360)/(π × 360))
r = √(85/π)
r ≈ 5.8 cm
Therefore, the radius of the circle, marked p on the diagram, is approximately 5.8 cm.
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Which of the following represents a nonlinear function?
y=x²
y=x
y=-2 x
y=5 x+7
The equation that represents a non linear function is y = x² , the correct option is (a) .
In the question ,
four functions are given ,
we have to select the option that is non linear ,
we know that ;
A Linear Function is an equation in which the the highest degree of the equation is 1 , and the graph is a straight line . and
A Non Linear Function ,is an equation in which the highest degree of the equation is more than 1 , and the graph is not a straight line .
So , from the given options
we can see that all the options have degree 1 except the equation y = x² which has highest degree 2 .
Therefore , The Non Linear Function is (a) y = x² .
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Solve for x : 2/5x -9 < 3/5x+3
X < 60
X > -60
-x < -60
-x < 60
Answer:
x>-60
Step-by-step explanation:
Combine multiplied terms into a single fraction
2/5x - 9 < 3/5x + 3
2x/5 - 9 < 3/5x + 3
Find common denominator
2x/5 - 9 < 3/5x + 3
2x/5 + 5(-9)/5 < 3/5x + 3
Combine fractions with the common denominator
2x + 5(-9)/5 < 3/5 + 3
I HOPE YOU GOT THE ANSWER JUST SIMPLIFY IT (2x + 5(-9)/5 < 3/5 + 3) AND YOU WILL GET THE ANSWER YOURSELF AS I HAVE GIVEN ABOVE PLS MARK ME AS THE BRAINLILEST IF YOU LIKE TO AND MY ANSWER HELPED YOU:)
Answer:
\(\boxed {x > -60}\)
Step-by-step explanation:
2/5x - 9 < 3/5x + 3
-1/5x < 12
x > -12 x 5
x > -60
Parallel slope of line x-7y=7
Answer:
The slope would be x/y so really the b value could be anything if you leave the slope the same. Hope this helps!
Step-by-step explanation:
x - 7y = 7
-7y = -x + 7
7y = x - 7
y = x/7 - 1
Cody Summer sells tires for tractor-trailers. He earns 4.5 percent commission on the first $6,000, 8 percent on the next $6,000, and 12 percent on sales over $12,000. Last month he sold $18,000 worth of tires. What was his total commission?
Answer:
$1470
Step-by-step explanation:
Summer earned 4.5% on $6000 +8% on $6000 + 12% on ($18000-12000) = $6000, for a total of 24.5% of $6000.
commission = 0.245 · $6000 = $1470
Summer earned a total commission of $1470.
15 This time, enter coordinates to translate the original shape 2,5 units to the left and 1 unit down х у new newy 10 1 1 3 1 Oา 3 2. L 2 2 - 15 -10 -5 5 10 2 1 1 Submit -10 Also this so due tommorow at lunch so I really need,your help please
Answer:
See attached
Step-by-step explanation:
The table in the picture filled in as per the given rule
Refer to attached
Please Help Me. I will Give 20 Points. Help Me Por Favor
Answer:
10,080cm for the whole thing.
the lateral part of the triangular prism is 1680cm
Step-by-step explanation:
30 x 25 = 750cm
30 x 24 = 720cm
30 x 7 = +210cm
1680cm
25 x 24 = 600cm
600 x 7 = +4200cm
4800cm
4200cm x 2 = 8400cm (both of the triangles)
1680cm
+8400cm
10,080cm
Please help me please
Taking w as the unknown number, the equation for the given statement is 2(w-8) = 5.
To solve this problem, we need to convert the given statement in mathematical form.
We assume that "w" is the unknown number in the equation.
First, we have to take a closer look at the given statement. It was stated that "twice the different of... is equal to 5". It shows that the result of equation 5 is the double value of another equation. We assume the unknown equation as y. Then:
2y = 5
Next, the rest of the statement stated that "a number and 8". From this part of statement, we know that the unknown equation "y" we assume above should be replace with "w-8". Hence:
2(w - 8) = 5
If we want to solve this question, we can solve it by dividing both sides with 2:
2(w - 8) = 5
------------------- : 2
w - 8 = 5/2
w = 5/2+ 8
w = 10.5
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Please help answer my question
Answer:
x = 6
Step-by-step explanation:
This is a bit of a tricky equation, and it's what we call an exponential equation since it involves some exponents. The way we begin to solve these kinds of problems is make the base on each side of the equals sign the same. On one side, we have 9 as our base, and on the other side, we have 3 as our base. 9 = 3², so we can rewrite our equation as shown below:
(3²)⁴ˣ⁻¹⁰ = 3⁵ˣ⁻²
From there, we can use the exponent rule (xᵃ)ᵇ = xᵃᵇ to simplify the left side of the equation.
3²⁽⁴ˣ⁻¹⁰⁾ = 3⁵ˣ⁻²
3⁸ˣ⁻²⁰ = 3⁵ˣ⁻²
Since our bases are now the same, we can take just the exponents and turn it into a new equation as shown below:
8x - 20 = 5x - 2
Hopefully at this point, this problem becomes easy for you, but I'll show how I solved this new equation below in case it doesn't make sense.
8x - 20 = 5x - 2
8x - 20 - 5x = 5x - 2 - 5x
3x - 20 = -2
3x - 20 + 20 = -2 + 20
3x = 18
3x/3 = 18/3
x = 6
Hopefully that's helpful! Let me know if you need more help. :)
the sum of three consecutive even numbers is 42. what are the three numbers?
Answer:
12, 14, and 16
Step-by-step explanation:
Assume
1st number: x
2nd number: x+2
3rd number: x+4
(I'm adding 2 for each number because even numbers skip by 2)
The numbers add to 42, so
x+(x+2)+(x+4)=42
x+x+2+x+4=42
3x+6=42
3x=36
x=12
1st number: 12
2nd number: 12+2=14
3rd number: 12+4=16
12, 14, and 16
please help me ..............................................................................
Hiyaaa! I'm Nat and I'm gonna help you~♡
Thermo means heat! So. Thermosphere has to relate to hot and warm things.
Meso meaning middle,or intermediate.
,
Thermosphere = is very hot,satellites travel here,reached out into spaceMesosphere= Directly under the stratosphere,is very cold,acts has a barrierHope this helps!!
Brainliest?
-Nat
(x + 3) metres
(2x - 1)metres
The area of triangle ABC is 6√2 m².
Calculate the value of x.
Give your answer correct to 3 significant figures.
Answer: 2.63
Step-by-step explanation:
Using the formula \(A=\frac{1}{2} ab \sin C\),
\(6\sqrt{2}=\frac{1}{2}(2x-1)(x+3) \sin 45^{\circ}\\\\6\sqrt{2}=\frac{(2x-1)(x+3)}{2} \cdot \frac{\sqrt{2}}{2}\\\\6=\frac{(2x-1)(x+3)}{4}\\\\24=(2x-1)(x+3)\\\\24=2x^2 +5x-3\\\\2x^2 +5x-27=0\\\\x=\frac{-5 +\sqrt{5^2 -4(2)(27)}}{2(2)} \text{ } (x > 0)\\\\x=\frac{\sqrt{241}-5}{4} \approx 2.63\)
52080 divided 15
52,080÷15
Answer:
3472
Step-by-step explanation:
Can someone help me
Answer:
Y = -½x + 3/2
Y = -3x + 5
Y = 1/4x - 3¼
Step-by-step explanation:
Parallel implies they have the same gradient
Perpendicular implies the gradient is a negative reciprocal of the other.
This is urgent 1. In a picture, there are 40 monkeys, and 60% of the monkeys are in the trees.
How many monkeys are in the trees? Use a 10-squares model to explain your answer.
please answer
Answer:
30 Monkeys 50 trees
explanation:
Your welcome
The number of monkeys in the trees is 24.
What are percentages?Percentage is the fraction out of an amount that is usually expressed as a number out of hundred. The sign used to represent percentages is %.
The number of monkeys in the trees = 60% x 40
= 0.6 x 40 = 24
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simplify √([2m5z6]/[ xy])
The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:
Simplify the numerator:
√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)
= √2m√5z√6
Simplify the denominator:
√(xy) = √(x) * √(y)
Combine the numerator and denominator:
√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)
Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
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2. Which pair of angles is not congruent? F. ∠1 and ∠7 G. ∠3 and ∠5 H. ∠4 and ∠6 I. ∠2 and ∠5
Answer:
I) ∠2 and ∠5
Step-by-step explanation:
which of the following is not a linear expression-3x7x - 28x - 13x²
Answer:
D. 3x²
Explanation:
A linear expression is one in which the highest power(exponent) of the variable (x in this case) is 1.
From the given options, the expression that has an exponent that is not 1 is:
\(3x^2\)The correct choice is D.