Answer:
g(-7) = 57
Step-by-step explanation:
note: the editor will not let me use eff of x. I have to use g(x)
Equation
g(x) = -2x^2 -4x + 13
Comment
y is the same thing as g(x) so you are really being asked to find y,
Given
x = - 7
g(-7) means that x is -7
Solution
g(x) = -2(-7)^2 - 4(-7) + 13 Substitute x = - 7 on the right
g(x) = -2*49 + 28 + 13 Combine
g(x) = -98 + 28 + 13
g(-7) = -57
How many tens are in the number 345
Answer:
Step-by-step explanation:
34 with a remainder of 5. so basically you can say 34 1/2
Answer:
350
Step-by-step explanation:
Rounding 345=350
345 to the nearest thousands is 0
345 to the nearest hundreds is 300
345 to the nearest tens is 350
345 to the nearest whole number is 345
345 to the nearest tenths is 345.0
The function y=56.35x can be used to determine the
cost of taking a group of students to a water park. If at
least 15 but no more than 25 students go to the water
park, what is the domain of the function?
the domain of the function y = 56.35 x is 0.27 ≤ x ≤ 0.44.
We are given a function:
y = 56.35 x
We are also given that at least 15 but no more than 25 students go to the water park.
This means that the range of y is:
Range = 15 ≤ y ≤ 25.
Now, we need to find the domain of the function.
Put y = 15 in the equation:
15 = 56.35 x
x = 15 / 56.35
x = 0.27
Put y = 25 in the equation:
25 = 56.35 x
x = 25 / 56.35
x = 0.44
So, the domain becomes:
Domain = 0.27 ≤ x ≤ 0.44.
Therefore, we get that, the domain of the function y = 56.35 x is 0.27 ≤ x ≤ 0.44.
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what value does the 8 represent in the number 281.9
Combine the like terms to create an equivalent expression. m + 8 + 6n – 3 =
Answer:
m+6n+5
Step-by-step explanation:
Let's simplify step-by-step.
m+8+6n−3
=m+8+6n+−3
Combine Like Terms:
=m+8+6n+−3
=(m)+(6n)+(8+−3)
=m+6n+5
What does x=
How to figure this out?
The length of the side x of the triangle ADE is 16.5 units.
What are similar triangles?If the sides are in the same ratio or proportion and the angles are equal (corresponding angles), two triangles will be similar (corresponding sides). When compared individually, similar triangles may have different side lengths, but they must all have the same ratio of their side lengths and equal angles.
From figure, it is given that:
AB = 3 units
BC = 2 units
AD = x units
DE = 11 units
We know that the triangle ABC ~ ADE.
Therefore, the ratio of corresponding sides of the triangles will be same.
Now,
AB/ AD = BC/ DE
3/x = 2/11
Cross multiply to get:
2x = 3(11)
2x = 33
x = 33/2
x = 16.5 units
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8³-15(17-3)-(7²)
What is the answer
Answer:
253
Step-by-step explanation:
512-15×14-49
512-210-49
302-49
= 253 Ans
help with this please
Using integrals, the probabilities and desired measures are given as follows:
a) P(0 < X) = 0.5.
b) P(0.6 < X) = 0.392.
c) P(-0.5 ≤ X ≤ 0.5) = 0.125.
d) P(X < -2) = 0.
e) P(X < 0 or X > -0.5) = 1.
f) x = 0.965.
What is the probability distribution?
The distribution is given by:
f(x) = 1.5x², -1 < x < 1.
The integral of this function will be used to find the probabilities.
In item a, the probability is given by:
[tex]P(0 < X) = \int_{0}^{1} f(x) dx[/tex]
[tex]P(0 < X) = \int_{0}^{1} 1.5x^2 dx[/tex]
[tex]P(0 < X) = 0.5x^3|_{x = 0}^{x = 1}[/tex]
Applying the Fundamental Theorem of Calculus:
P(0 < X) = 0.5(1)³ - 0.5(0)³ = 0.5 - 0 = 0.5.
Item b is similar as item a, just with lower limit 0.6, hence:
P(0.6 < X) = 0.5(1)³ - 0.5(0.6)³ = 0.5 - 0.108 = 0.392.
For item c, the lower limit is -0.5 and the upper limit is of 0.5, hence:
P(-0.5 ≤ X ≤ 0.5) = 0.5(0.5)³ - 0.5(-0.5)³ = 0.125.
For item d, values of -2 and less are not on the range of the distribution, which is between -1 and 1, hence the probability is of 0.
For item e, the intersection of the intervals is the entire range of the function, hence the probability is of 1.
For item f, we have that:
0.5(1)³ - 0.5(x)³ = 0.05
0.5x³ = 0.45
x³ = 0.9.
x = (0.9)^(1/3) -> cubic root
x = 0.965.
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The radius of circle S is half the radius of circle L. The radius of circle L is 8 millimeters.
Which measurement is closest to the area of circle S in square millimeters?
A 50.24 mm²
B 25.12mm²
C 200.96mm²
D 12.56mm²
Answer:b
Step-by-step explanation:
The area of circle S will be 50.24 mm². Then the correct option is A.
What is the area of the circle?Let r be the radius of the circle. Then the area of the circle will be
A = πr² square units
The radius of circle S is half the radius of circle L.
Let 'r₁' be the radius of circle S and 'r₂' be the radius of circle L. Then the equation is given as
r₁ = r₂ / 2
The radius of circle L is 8 millimeters. Then the radius of the circle S is calculated as,
r₁ = 8 / 2
r₁ = 4 mm
The area of the circle S is calculated as,
A = πr₁²
A = 3.14 x (4)²
A = 50.24 mm²
The range of the circle S is 4 mm. Then the region of the circle S will be 50.24 mm². Then the right choice is A.
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A location on Earth’s equator moves approximately 2.075 miles in 2 hours because of Earth’s rotation on its axis. At this rate, how far approximately does this location rotate in 1 day? (2 hours = 1/12 day)
The location rotates 24.9 miles in 1 day
It is a method in which one finds the value of a unit from the value of a number of units and the value of a number of units from the value of a unit.
In the unit method, we always count the value of a unit or quantity first, and then we calculate the value of more or less quantities. This is why this method is called the unitary method.
Earth equator moves 2.075 miles in 2 hours, We need to find how far does this location rotate in 1 day
Using Unitary Method
2 hours = 2.075 miles
1 hour = 2.075/2 mile
1 hour = 1.0375 mile
1 day = 24 hours
24 hours = 1.0375 *24
= 24.9 miles
The location rotates 24.9 miles in 1 day
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The length of a rectangle is 6 more than its width. The perimeter of the rectangle is 60 feet. If w is the width of the rectangle, which expression represents the length?
w+5
w−5
5w
1/5w
Answer:
5
Step-by-step explanation:
There are 6 circles and 3 squares. What is the simplest ratio of squares to circles?
The ratio of squares to circles is 1/ 2
What is ratio?A ratio is defined as the comparison of two or more numbers or elements indicating their sizes in relation to each other.
From the information given, we have that;
There are 6 circleThere are also 3 squaresTo determine the ratio of the squares to circles, we take the quotient of squares to circles, we have;
= 3/ 6
Reduce to simpler form
= 1/ 2
Thus, the ratio of squares to circles is 1/ 2
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Please help math is my weakest subject and I have no idea what to do I’ll give brainliest!!!!
Using translation concepts, we have that:
The vertex of the parent function is (0,0).The vertex of the new function is at (-3,-1).a = -0.5.b = 0.h = -3.k = -1.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The parent absolute value function is defined by:
f(x) = |x|.
And has vertex at (0,0).
After a translation, the absolute value function is given by:
g(x) = |a(x - h)| + k.
The vertex is at: (h, k).
In this problem, the function is:
g(x) = |-0.5(x + 3)| - 1.
Hence:
The vertex of the new function is at (-3,-1).a = -0.5.b = 0.h = -3.k = -1.More can be learned about translation concepts at https://brainly.com/question/4521517
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Hello un I need help with my Science if you can help me with it
Answer:
well wheren is the question
Solve the problem. Give the equation using x as the variable, and give the answer.
The product of 9, and a number increased by 6, is 135. What is the number?
The equation is
(Do not simplify.)
Question 11 of 18
What is the length of the diagonal of the square shown below?
5
45
90°
5
5
S
OA. 5,2
B. 5
OC. √5
OD. 5√5
OE. √10
OF. 25
SUBMIT
The square's diagonal length is (E) d = 5√2.
What is a diagonal?A diagonal is a line segment that connects two vertices (or corners) of a polygon. A diagonal is a line segment that connects two non-adjacent vertices of a polygon. It connects the vertices of a polygon, excluding the figure's edges. A diagonal is defined as something with slanted lines or a line connecting one corner to the corner farthest away.A diagonal is a line that connects the bottom left corner of a square to the top right corner.So, we must determine the length of the square's diagonal.
The formula for the diagonal of a square is d = a2; where 'd' is the diagonal and 'a' is the side of the square.Now, d = 5√2. (Refer to the diagram of the square given below)Therefore, the square's diagonal length is (E) d = 5√2.
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The correct question is given below:
What is the length of the diagonal of the square shown below? 5 45° 5 5 90° 5 O A. 5
B. 10
C. 5
D. 5/5
E. 5√2
F. 25
The product of s and t, plus r
The expression for the product of s and t, plus r will be (s × t) + r which is st + r.
How to calculate the product?This can be illustrated as an expression. Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.
Therefore, the expression for the product of s and t, plus r will be:
= (s × t) + r.
= st + r.
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f(a)=-2a-4
g(a) =a^ 2+3
Find (f/g)(7)
[tex](f/g)(7)=-\frac{9}{26}[/tex].
Step-by-step explanation:1. Write the expressions.[tex]f(a)=-2a-4\\ \\g(a) =a^ 2+3[/tex]
2. Since we need to find f/g, we take the arguments of both f(a) and g(a) and divide them.[tex]\frac{-2a-4}{a^ 2+3}[/tex]
3. Evaluate the expression by the indicated number.For this, we substitute a by 7 throughout the entire expression and calculate.
[tex]f/g(7)=\frac{-2(7)-4}{(7)^ 2+3}=\frac{-18}{52} =-\frac{9}{26}[/tex]
4. Express your result.[tex](f/g)(7)=-\frac{9}{26}[/tex].
help asap i will give crowns to the best
Answer: the answer is 42.5
A bottle of ant killer holds 1,5 L of concentrate.
To make up a solution, 5 capfuls are added to 1
L of water. Each capful is 20 mL. How many
litres of solutions can be made if you use the
entire bottle of concentrate? [2]
82,5 L
16,5 L
15 L
Using multiplication, Correct option is B. The amount of solution that can be made from 15 L of concentrate is 16.5L.
What is meant by multiplication?Multiplying in math is the same as adding equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The components in the multiplication problem 6 x 9 = 54 are the numbers 6 and 9, and the result is the number 54.
Given,
Total ant killers added in the water is 5 × 20mL = 100mL = 0.1L (using 1L = 1000mL)
Total quantity of solution is 0.1L + 1L = 1.1L
It takes 0.1 mL of ant killer to make 1.1L of solution.
⇒ Total solution that can be made from 15L of concentrate is -
⇒ 15L × 0.1L = 16.5L
∴ The solution that can be made from 15L of concentrate is 16.5L
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The area of circle Z is 64 ft².
What is the value of r?
A- r= 4 ft
B- r= 8 ft
C- r = 16 ft
D - r = 32 ft
Answer:
Step-by-step explanation:
[tex]A=64\pi ft^2[/tex]
[tex]r=\sqrt{\frac{A}{\pi } }[/tex]
[tex]r=\sqrt{\frac{64\pi }{\pi } }[/tex]
[tex]r=\sqrt{64}[/tex]
[tex]r=8[/tex]
So the radius is 8 ft.
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Lines a & m are parallel. Using the diagram below, what is the degree measure of angle 3? Enter the numerical answer only. Example, if the answer is 12 degrees, only enter 12.
Based on the fact that Lines a and m are parallel, the degree measure of angle 3 is 127
What is the degree measure?Based on the fact that a and m are parallel lines, then this means that the angle 127 degrees is corresponding to angle 1.
This means that the measure of angle 1 is 127 degrees as well because corresponding angles are congruent.
Angle 1 and Angle 3 are vertical angles. Vertical angles are also congruent. This means that if Angle 1 is 127 degrees then angle 3 will be 127 degrees as well.
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suppose that the length of a certain rectangle is 7 meters less than four times its width. The perimeter of the rectangle is 46 meters. find the length and width of the rectangle.
The answer to the given question is length is 17m and width is 6m
Given that a rectangle's length is 7 meters less than its width.
And also given the perimeter of the rectangle is 46 meters.
We know that the rectangle's perimeter is twice the sum of its length and width.
l - length of the rectangle
w - width of the rectangle
P - perimeter of the rectangle
Then we have P = 2 × (l + w)
Given that a rectangle's length is 7 meters less than its width.
⇒ l = 4 × w - 7
Given the perimeter of the rectangle is 46 centimeters.
⇒ 2 × ( l + w) = 46
⇒ 2 × (4w - 7 + w) = 46 (using the value of length given in terms of width)
⇒ 4w - 7 + w = 23 (dividing by 2 on both the sides)
⇒ 5w - 7 = 23
⇒ 5w = 23 + 7
⇒ 5w = 30
⇒ w = 6 (dividing both sides by 5)
Using the width value in the length equation, we get
l = 4 × 6 - 7
⇒ l = 24 - 7
⇒ l = 17
Therefore, The rectangle is 17 meters in length and 6 meters in width.
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can I get some help , there's more questions if u can add me on sn^p and help me please
Answer:
-8
Step-by-step explanation:
Substitute -8 for x
h(-8) = ((-8)² + 3(-8)) ÷ (4(-8) + 27))
= (64 - 24) ÷ (-32 + 27)
= 40 ÷ -5
= -8
I really need the work and answer to these problems, i wish to understand it better
Answer:
asdfasdf
Step-by-step explanation:
asdfasdfasdfasdfasdf
Based on the histogram below, how are data distributed, and where is the mean located in relation to the median?
Answer:
C) Positively skewed, and the mean is to the right of the median.
Step-by-step explanation:
A histogram is a graphical representation of the distribution of numerical data.
A histogram is:
Positively skewed (right-skewed) if the long tail is on the positive side of the peak.Negatively skewed (left-skewed) if the long tail is on the negative side of the peak.Since the long tail of the given histogram is on the positive side of the peak, the histogram is positively skewed (right-skewed).
The mode is the value that occurs most often in a set of data.
In a histogram, the mode is the highest point.
The median and mean fall to the right of the mode in a right-skewed (positively skewed) histogram, and the mean is always to the right of the median: mode < median < mean.
The median and mean fall to the left of the mode in a left-skewed (negatively-skewed) histogram, and the mean is always to the left of the median: mean < median < mode.
So the correct definition of the given histogram is:
C) Positively skewed, and the mean is to the right of the median.
Which expression best estimates-18-
-181-232
O 18+3
O-18+3
O-18+(-3)
O 18+(-3)
Answer:O 18+3
O-18+3
O-18+(-3)
Step-by-step explanation:O 18+3
O-18+3
O-18+(-3)
How do you solve
9
x
−
4
=
81
?
[tex]9x = 81+4[/tex]
[tex]9x = 85[/tex]
[tex]x = 85/9[/tex](divide using calculator)
A sum of money is to be divided among A B and C in the ratio 2:3:5 the smallest share amounts
to $600 what is the total sum of money to be shared
The correct answer is $3000.
It is quite effective to compare two or more values using the division approach. Therefore, it would be accurate to state that a ratio is a comparison or simplification of two quantities of the same type. This relationship illustrates how many times one quantity is equivalent to the other. The ratio may be defined as the number we use to represent one quantity as a percentage of the others.
As given ratio A:B:C = 2:3:5
let, A=2x, B=3x, C=5x
2x=600
x=600/2
x=$300
Total money = 2x+3x+5x
=x(2+3+5)
=x(10)
=300×10
=$3000
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What is the value of 14-2.3+42?
Answer: 53.7
I hope this helps!
Find the minimum or maximum value of f(x)=-0.5x^2+2x-5
Answer:
maximum = (2,-3)
Step-by-step explanation: