if a=3 then what does 5(a+5) equal show all steps
Answer:
40
Step-by-step explanation:
5(a+5)
Let a =3
5(3+5)
Parentheses first
5(8)
Multiply
40
Answer:
40
Step-by-step explanation:
5(a+5)
5(3+5)
5(8)
40
The rule is "Star, Circle, Heart."What is the
17th shape?
Answer:
Circle
Step-by-step explanation:
Solve the following inequality in the simplest form: 8(−x−2/3)−1≥7
These figures are similar. The perimeter and area of one are given. The perimeter of the other is also given. Find its area and round to the nearest tenth.
Perimeter= 20m
Area=19.6m^2
Perimeter=34m
What is the Area=
The area of the larger figure that is similar to the smaller one is: 28.2 m².
How to Find the Area of Similar Figures?Where A and B represent the areas of two similar figures, and a and b are their corresponding side lengths, respectively, the formula that relates their areas and side lengths is:
Area of figure A / Area of figure B = a²/b².
Given that the two figures are similar as shown in the image above, find each of their respective side lengths if we are given the following:
Perimeter of smaller figure = 20 m
Area of smaller figure = 19.6 m²
Perimeter of larger figure = 34m
Area of larger figure = x
Therefore:
20/34 = a/b
Simplify:
10/17 = a/b.
Find the area (x) of the larger figure using the formula given above:
10²/12² = 19.6/x
100/144 = 19.6/x
100x = 2,822.4
x = 2,822.4/100
x ≈ 28.2 m²
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Solve -2x + y = 5 for y
y =
Answer:
if we solve for y the answer is y= 2x+5
Is the expression x to the power of 3 times x to the power of 3 times x to the power of 3 equivalent to x to the power of 3 times 3 times 3 ? why or why not ? explain your reasoning
The expression x to the power of 3 times x to the power of 3 times x to the power of 3 is not equivalent to an expression x to the power of 3 times 3 times 3.
For given question,
We have been given a statement 'x to the power of 3 times x to the power of 3 times x to the power of 3 '
We can write above statement in expression form as,
x³ × x³ × x³
Now, we simplify above expression.
We know that the product rule of exponents states that, 'To multiply expressions with the same base, add the exponents while keeping the base the same.'
So, x³ × x³ × x³ = \(x^{3+3+3}\)
⇒ x³ × x³ × x³ = \(x^{9}\) ....................................(1)
Also, we have been given a statement that 'x to the power of 3 times 3 times 3'
We can write above statement in expression form as,
\(x^{3\times 3\times 3}\)
Now we simplify above expression.
By power of a product rule of exponents,
\(x^{3\times 3\times 3}=x^{27}\) .....................................(2)
From (1) and (2),
x³ × x³ × x³ ≠ \(x^{3\times 3\times 3}\)
Therefore, the expression x to the power of 3 times x to the power of 3 times x to the power of 3 is not equivalent to an expression x to the power of 3 times 3 times 3.
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Due to symmetry, the probability that the standard normal random variable Z is less than 0 is equal to ______. Multiple choice question. 0
Answer:
.5
Step-by-step explanation:
The probability that a normal random variable is less than its mean is .5
The coordinates (0, A) and (B, 0) lie on the line 2x - 3y = 6. What are the values of A and B? b) Use your answer to part a) to work out which line below is 2x - 3y = 6
25 points for the correct answer.
The values of A and B are -2 and 3 respectively, the line 2x - 3y = 6 is equivalent to the line x = 3.
To find the values of A and B, we can substitute the coordinates (0, A) and (B, 0) into the equation 2x - 3y = 6.
For the point (0, A):
2(0) - 3(A) = 6
0 - 3A = 6
-3A = 6
A = -2
So, A = -2.
For the point (B, 0):
2(B) - 3(0) = 6
2B = 6
B = 3
So, B = 3.
Therefore, the values of A and B are A = -2 and B = 3.
b) Now that we know the values of A and B, we can substitute them into the equation 2x - 3y = 6:
2x - 3y = 6
2x - 3(0) = 6 (substituting y = 0)
2x = 6
x = 3
So, the line 2x - 3y = 6 is equivalent to the line x = 3.
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find the quotient.
1.38÷0.3=
Answer: 4.6 is the answer to 1.38 divided by 0.3=4.6
Answer:
4.6
Step-by-step explanation:
calculate the correct amount if significant figures?
10.598 + 3 - 9.01 + 0.000378
would the answer be 5 or 5. ?
The correct amount, rounded to the appropriate number of significant figures, is 5.
Add the numbers together: 10.598 + 3 - 9.01 + 0.000378 = 4.587378.
Determine the number of significant figures in each number:
10.598 has five significant figures.
3 has one significant figure.
9.01 has three significant figures.
0.000378 has three significant figures.
Find the number with the least number of significant figures, which is 3.
Round the result to the same number of significant figures as the number with the least number of significant figures. Therefore, the result should be rounded to 3 significant figures.
The result, rounded to 3 significant figures, is 4.59.
Since the number 4.59 does not have any digits after the decimal point, it should be written as 5.
herefore, the correct answer, rounded to the appropriate number of significant figures, is 5.
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-2(y+2)+7=3(y+6) have no solution one solution and what does y equal or are all real numbers solutions.
Answer:
one solution , y = - 3
Step-by-step explanation:
- 2(y + 2) + 7 = 3(y + 6) ← distribute parenthesis on both sides
- 2y - 4 + 7 = 3y + 18
- 2y + 3 = 3y + 18 ( subtract 3y from both sides )
- 5y + 3 = 18 ( subtract 3 from both sides )
- 5y = 15 ( divide both sides by - 5 )
y = - 3
Answer: one solution and that would be
y=3
Step-by-step explanation:
-2(y+2)+7=3(y+6)
-2y-4+7=3y+18
-2y+3=3y+18
-3 -3
-2y=3y+15
+2 +2
5y=15
y=3
Find the average rate of change of his annual salary between 2017 and 2020
We were told that the salary, t years after 2015 is given by the function,
S(t) = 3100t + 56000
When considering 2017, the number of years, t from 2015 is 2017 - 2015 = 2
We would substitute t = 2 into the function and find S(2)
Thus,
S(2) = 3100 x 2 + 56000 = 6200 + 56000 = 62200
When considering 2020, the number of years, t from 2015 is 2020 - 2015 = 5
We would substitute t = 2 into the function and find S(2)
Thus,
S(5) = 3100 x 5 + 56000 = 15500 + 56000 = 71500
Thus, we can say that
when
x1 = 2, y1 = 62200
when x2 = 5, y2 = 71500
Recall,
slope or average rate of change = (y2 - y1)/(x2 - x1)
average rate of change = (71500 - 62200)/(5 - 2) = 9300/3
average rate of change = 3100
The last option is correct
Even though I already got the question right,I need someone to show the work on how to get the answer for this question.
Given
Answer
\(\begin{gathered} \sin x=\frac{P}{H} \\ \sin x=\frac{5}{8.3} \\ x=\sin ^{-1}(\frac{5}{8.3}) \end{gathered}\)Which is triangle 2
During a thunderstorm, Naazneen used a wind speed gauge to measure the wind gusts. The wind gusts, in miles per hour, were 17, 22, 8, 13, 19, 36, and 14. Identify any outliers in the data set.
Multiple choice question.
A) 8
B) 13.5
C) 36
D) none
None of the wind gusts (17, 22, 8, 13, 19, 36, and 14) fall below -0.5 or above 35.5, there are no outliers in this data set. Therefore, the correct answer is D) none.
To identify any outliers in the data set, we can use a common method called the 1.5 interquartile range (IQR) rule.
The IQR is a measure of statistical dispersion and represents the range between the first quartile (Q1) and the third quartile (Q3) of a dataset. According to the 1.5 IQR rule, any value below Q1 - 1.5 × IQR or above Q3 + 1.5 × IQR can be considered an outlier.
To determine if there are any outliers in the given data set of wind gusts (17, 22, 8, 13, 19, 36, and 14), let's follow these steps:
Sort the data set in ascending order: 8, 13, 14, 17, 19, 22, 36.
Calculate the first quartile (Q1) and the third quartile (Q3).
Q1: The median of the lower half of the data set (8, 13, 14) is 13.
Q3: The median of the upper half of the data set (19, 22, 36) is 22.
Calculate the interquartile range (IQR).
IQR = Q3 - Q1 = 22 - 13 = 9.
Step 4: Identify any outliers using the 1.5 IQR rule.
Values below Q1 - 1.5 × IQR = 13 - 1.5 × 9 = 13 - 13.5 = -0.5.
Values above Q3 + 1.5 × IQR = 22 + 1.5 × 9 = 22 + 13.5 = 35.5.
Since none of the wind gusts (17, 22, 8, 13, 19, 36, and 14) fall below -0.5 or above 35.5, there are no outliers in this data set.
Therefore, the correct answer is D) none.
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I NEED HELP ON THIS ASAP! PLEASE IT'S DUE TODAY, I WILL GIVE BRAINLIEST!!
Answer:
Function A: f(x) = -8^x
Function B: f(x) = 2^x
Function A has a greater horizontal asymptote. As x approaches negative infinity, Function A approaches y = 0 faster than Function B.
4.) Elena baked 4 pizzas for a dinner party. She topped 2 of the pizzas with hot peppers and of the pizzas with mushrooms. She put cold pineapple slices on the rest of the pizza. How much of her pizza was topped with cold pineapple slices?
Answer:
2 pizza wass topped with a pineapple slice
Determine whether the quadrilateral is a parallelogram, answer Yes or No below
The quadrilateral is a parallelogram so it is Yes.
What are the properties of a parallelogram?If a quadrilateral has a pair of parallel opposite sides, it’s a special polygon called parallelogram .The properties of a parallelogram are as follows:
The opposite sides are parallel and equal
The opposite angles are equal
The consecutive or adjacent angles are supplementary
If any one of the angles is a right angle, then all the other angles will be at right angle.
The quadrilateral is a parallelogram since the adjacent interior angles 75° and 105° are supplementary meaning they sum up to 180°
In conclusion, yes, the figure is a parallelogram.
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If you have 3 means that need to be compared, you should not simply do multiple t-tests because ________.
a. it's too time consuming.
b. the joint alpha level decreases.
c. you inflate the experiment wise alpha.
d. you will be forever shunned by statiscians.
Which polygon is a pentagon
Answer: In geometry, a pentagon is a five-sided polygon with five straight sides and five interior angles that sum up to
540
°
. A pentagon shape is a plane figure, or flat (two-dimensional) 5-sided geometric shape.
Properties of a Pentagon
1. Pentagons have five straight sides
2. Pentagons have five interior angles, which sum to
540
°
3. The five sides do not intersect
Step-by-step explanation: Hello, I have only told you the properties on how to tell if it's a pentagon, please explain or show some type of image if you still need help!
Answer: it's c
your welcome:)
Step-by-step explanation:
Adding/subtracting linear equations
Answer:
\(\sf The \: answers\: are \:attached\)
_________________
A map is set to a scale factor of 32 mm = 1 km use this scale to answer this question. please show steps to answer the question.
3.Using the scale from the map in question 1, if the distance between two towns is 25 kilometers, how many millimeters apart will the towns be on the map?
Answer:
800
Step-by-step explanation:
32mm=1km
32 x 25= 800
800=25km
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if the inside height of the trailer is 6.5 feet, what is the total volume of the inside of the trailer, to the nearest cubic foot?
The cross sectional area of the cargo trailer floor, which is a composite figure consisting of a square and an isosceles triangle, indicates that the volume of the inside of the trailer is about 3,952 ft³.
What is a composite figure?A composite figure is a figure comprising of two or more regular figures.
The possible cross section of the trailer, obtained from a similar question on the internet, includes a composite figure, which includes a rectangle and an isosceles triangle.
Please find attached the cross section of the Cargo Trailer Floor created with MS Word.
The dimensions of the rectangle are; Width = 6 ft, length = 10 ft
The dimensions of the triangle are; Base length 6 ft, leg length = 4 ft
Height of the triangular cross section = √(4² - (6/2)²) = √(7)
The cross sectional area of the trailer, A = 6 × 10 + (1/2) × 6 × √(7)
A = 60 + 3·√7
Volume of the trailer, V = Cross sectional area × Height
V = (60 + 3·√7) × 6.5 = 3900 + 19.5·√7
Volume of the trailer = (3,900 + 19.5·√(7)) ft³ ≈ 3952 ft³
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wich mathematical expression represent this statement?the sqaure of a number times 31. 7n2. 3n^2 3.2n + 84. n^3/ 2
Let the number be represented by "n"
suppose that f(0)=−3 and f′(x)≤8 for all values of x. use the mean value theorem to determine how large f(4) can possibly be. answer: f(4)≤
The largest value that f(4) can possibly be is 29.
The mean value theorem states that for a function f(x) that is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), there exists a number c in the open interval (a, b) such that:
f(b) - f(a) = f'(c)(b - a)
In this case, we are given that f(0) = -3 and that f'(x) ≤ 8 for all values of x. To determine how large f(4) can possibly be, we can use the mean value theorem with a = 0 and b = 4:
f(4) - f(0) = f'(c)(4 - 0)
Substituting the given values:
f(4) - (-3) = f'(c)(4)
f(4) + 3 = 4f'(c)
Since f'(x) ≤ 8 for all values of x, we can say that f'(c) ≤ 8. Therefore:
f(4) + 3 ≤ 4f'(c) ≤ 4(8) = 32
Therefore, we have:
f(4) ≤ 32 - 3 = 29
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If the composite functions f(g(x)) and g(f(x)) both equal x, then the function g is the____function of f.
If the composite functions f(g(x)) and g(f(x)) both equal to x, then the function g is the Inverse function of f.
What is the inverse of a function?A function that can reverse into another function is known as an inverse function or anti-function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y.
Let us take the Example.
Suppose f(x)= x/4 and g(x)=4x.
Let x=1
then f(g(x))= f(g(1))=f(4)=1
and g(f(x))=g(f(1))=g(1/4)=1
Here, f(g(x))=g(f(x))=1
Therefore , we can say that f(g(x)) and g(f(x)) are inverse of each other.
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what is the explicit formula for this sequence? -7,-3,1,5,…
Answer:
\(a_n=4n-11\)
Step-by-step explanation:
The common difference is \(d=4\) with the first term being \(a_1=-7\), so we can generate an explicit formula for this arithmetic sequence:
\(a_n=a_1+(n-1)d\\a_n=-7+(n-1)(4)\\a_n=-7+4n-4\\a_n=4n-11\)
this exercise refers to a standard deck of playing cards. assume that 7 cards are randomly chosen from the deck. how many hands contain exactly two 8s and two 9s?
To calculate the number of hands that contain exactly two 8s and two 9s, we first need to determine the number of ways we can choose 2 8s and 2 9s from the deck.
The number of ways to choose 2 8s from the deck is (4 choose 2) = 6, since there are 4 8s in the deck and we need to choose 2 of them. Similarly, the number of ways to choose 2 9s from the deck is also (4 choose 2) = 6. To find the total number of hands that contain exactly two 8s and two 9s, we need to multiply the number of ways to choose 2 8s and 2 9s together:
6 * 6 = 36
Therefore, there are 36 hands that contain exactly two 8s and two 9s, out of the total number of possible 7-card hands that can be chosen from a standard deck of playing cards.
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What occurs when a two-way table shows one relationship, but the relationship reverses if a third variable gets involved?.
When a two-way table shows one relationship between two variables, but the relationship reverses when a third variable is introduced, it indicates the presence of a confounding variable.
A confounding variable is an additional factor that is related to both the independent and dependent variables, and it can distort or influence the observed relationship between the two variables of interest. In such cases, the initial relationship observed in the two-way table may be misleading or inaccurate because the third variable is influencing the relationship. It highlights the importance of considering and controlling for potential confounding variables in order to accurately understand and interpret the relationship between the two primary variables.
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HELP PLSASE: Find the solution of the system of equations.
2
x
+
4
y
=
2x+4y=
−
16
−16
−
2
x
+
2
y
=
−2x+2y=
−
2
−2
Answer:
Step-by-step explanation:
x
=
−
24
y
=
10
Explanation:
x
+
4
y
=
16
2
x
−
4
y
=
8
Subtract the bottom equation from the top one so the
+
4
y
and
−
4
y
cancel each other out.
−
x
=
24
x
=
−
24
x
+
4
y
=
16
−
24
+
4
y
=
16
4
y
=
40
y
=
10
Kim saved $25 in 9 weeks. At that rate, how long will it take Kim to save $175?
Answer:
it would take 63 weeks to save that much money
Step-by-step explanation:
divide 25 by 9 and get 2.7 then multiply 2.7 by 63 to get 175