The value of the exponential form (-15)³ is -3375.
The f(x)= exp (x) or eˣ are used to represent the exponential function in mathematics (where the argument x is written as an exponent).
The term typically refers to the positive-valued function of a real variable, unless otherwise specified, though it can also be extended to the complex numbers or modified to refer to other mathematical objects like matrices or Lie algebras. The exponential function originated from the concept of exponentiation, or repeated multiplication; but, more recent definitions—of which there are many that are equivalent—allow it to be rigorously extended to all real arguments, including irrational values.We know that any exponential form such as (-15)³ can be written as
-15×-15×-15 = -3375
Therefore the solution of the exponential form is -3375 .
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Fae is following a recipe to make dough. The amount of water (in ounces) she uses depends on the amount of flour she uses (in cups). The amounts for each ingredient are shown in the graph.
The unit rate of ounces of water per cup of flour for this situation is; 3 ounces per cups
What is the unit rate of the graph?
From the given graph, we are expected to find the unit rate of ounces of water per cup of flour for the situation.
Now, to find the unit rate , all we need to do is to pick two coordinates on the line graph and find the slope. Thus;
Slope = (y2 - y1)/(x2 - x1)
Slope of graph = (12 - 9)/(4 - 3)
Slope = 3/1
Slope = 3
Let us pick another two points to verify;
Slope = (6 - 3)/(2 - 1)
Slope = 3/1
Slope = 3
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Write an equation that represents the pattern in the table
A mathematical expression known as an algebraic expression includes variables, constants, and algebraic operations (addition, subtraction, etc.). Expressions include terms. Here, y=3x.
What is algebraic expression?The idea behind algebraic expressions is to represent numbers using letters or alphabets rather than giving their exact values. In algebraic basics, we learned how to express an unknown number using letters like x, y, and z. We will refer to these letters as variables from now on. An algebraic expression may have both constants and variables. Any amount that is added to a variable before it is multiplied by another is known as a coefficient.
A mathematical expression known as an algebraic expression includes variables, constants, and algebraic operations (addition, subtraction, etc.). Expressions include terms.
There are 3 main types of the algebraic expressions which include:
Monomial ExpressionBinomial ExpressionPolynomial ExpressionFor the above question:
4x3=12 , 5x3=15 , 6x3=18 ,.....
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The complete question:
"Write an equation that represents the pattern in the table
x 4,5,6,7,8
y 12,15,18,21,24 y = __ x"
2 Find x and y
130⁰ answer
Answer: x = 80°, y = 50°
Step-by-step explanation:
We have an isosceles triangle.
As you can see, 130° lies on a straight line. A straight line = 180°.
The base angles of an isosceles triangle are equal. This means 180° - 130° = y.
So, y = 50°.
The total measures of any triangle is 180 degrees.
The total measure for the base angles here 100 degrees. That is, 50° + 50° =
100°.
How do we find x?
x = 180° - 100
x = 80°
Which classifications of the real number system describe all numbers in the set? (Choose all correct answers.)
{0.4, 10,-√196,1/3)
Answer:
Rational
Step-by-step explanation:
pls help me on this one i need them quick
The slope of the line is that passing through the points (-1,-3) and (1,3) is m = 2
From the graph, we have to find the two points to find the slope of the line
The two points are (-1,-3) and (1,1)
The slope of the line m = [tex]\frac{y_{2} -y_{1} }{x_{2}- x_{1} }[/tex]
Where m is the slope of the line
[tex](x_{1} ,y_{1})[/tex] are the coordinates of first point
[tex](x_{2} ,y_{2})[/tex] are the coordinates of second point
substitute the values in the equation of slope of the line
The slope of the line m =[tex]\frac{1-(-3)}{1-(-1)}[/tex]
= 4/2
= 2
Hence, the slope of the line is that passing through the points (-1,-3) and (1,3) is m = 2
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The point (-4,1) is rotated 180 degrees counterclockwise using center (-3,0). What are the coordinates of the image?
By using a rotation rule, the image of point P = (- 4, 1) after rotating 180° counterclockwise using center (- 3, 0) is equal to point P'(x, y) = (- 2, 1).
How to determine the coordinates of the image of a point by using a transformation ruleIn this problem we find the case of a point that must be rotated 180° counterclockwise (+ 180°) about the point (- 3, 0). Rotation is a kind of rigid transformation, that is, a kind of transformation applied on a point such that Euclidean distance is conserved. The rotation formula for a point P(x, y) = (x, y) around the center O(x, y) = (Ox, Oy) is introduced below:
P'(x, y) = (Ox + (x - Ox) · cos θ - (y - Oy) · sin θ, Oy + (x - Ox) · sin θ + (y - Oy) · cos θ)
Where θ is the angle of rotation.
If we know that O(x, y) = (- 3, 0), P(x, y) = (- 4, 1) and θ = 180°, then the coordinates of the image are:
P'(x, y) = (- 3 + [- 4 - (- 3)] · cos 180° - (1 - 0) · sin 180°, 0 + [- 4 - (- 3)] · sin 180° + (1 - 0) · cos 180°)
P'(x, y) = (- 3 - [- 4 - (- 3)], - 1)
P'(x, y) = (- 3 - (- 1), - 1)
P'(x, y) = (- 2, - 1)
The coordinates of the image are P'(x, y) = (- 2, 1).
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Sergio has two similar cylindrical pots, Pot A and Pot B. The radius of Pot A is 15 inches, and the radius of Pot B is 3 inches. What is the ratio of the volume of Pot A to the volume of Pot B?
15:3
45:9
125:1
5:1
Answer:
125 : 1
Step-by-step explanation:
given 2 similar objects with ratio of sides a : b , then
ratio of volumes = a³ : b³
here
ratio of pot A : pot B = 15 : 3 = 5 : 1
ratio of volumes = 5³ : 1³ = 125 : 1
An egg of a particular bird is very nearly spherical. The radius to the inside of the shell is 4 millimeters and the radius to the outside of the shell is 4.3 millimeters. Use differentials to approximate the volume of the shell. [Remember that V(r) =
#x p3, where r is the radius.]
If the radius to the inside of the shell is 4 millimeters and the radius to the outside of the shell is 4.3 millimeters. the volume of the shell is 19π mm³.
Volume of the shellv = 4 / 3πr³
dv =4 / 3π (3r²) dr
Where:
r= radius = 4 cm
dr = 4.3 -4 = 0.3
Hence,
dv = 4 / 3π (16) 3/10
dv =4 / 3π(16) 0.3
dv = 19.2π mm³
dv = 19π mm³ (Approximately)
Therefore the volume of the shell is 19π mm³.
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Solve for X.
x² =50
x³ = 37
Answer:
x^2= 50 ------ (equation 1)
x^3= 37 ------- (equation 2)
dividing (equation 2) by (equation 1)
=> x^3/x^2 = 37/50
=> x = 37/50
Answer: x= 37/50
What is 21.00$ with a 7%
tax
Answer:
22.47
Step-by-step explanation:
7/100 = 0.07 (the tax rate) 21 * 0.07 = 22.47, the tax adds on 1.47
2 Please help Anyone
Equation of the first line = [tex]y=-\frac{1}{2} x+1[/tex]
Equation of the second line = [tex]y=-\frac{5}{2} x -1[/tex]
What is the equation of the first line?
Co-ordinates of the first line (x, y) = (-2,2), (0,1), (2,0), (4,-1)
We know that,
[tex]\text{slope }=m=\frac{y_2-y_1}{x_2-x_1}\\\\= > \frac{1-2}{0+2} \\\\=-\frac{1}{2}[/tex]
The slope -intercept form of a line is given by,
y = mx + b ---(1)
Let us substitute ( x, y )= (-2, 2) in (1)
2=(-1/2)*-2+b
2-1= b
b = 1 ----(2)
Let us substitute m and b in the slope-intercept equation (1)
[tex]y=-\frac{1}{2} x+1[/tex]
What is the equation of the second line?
Co-ordinates of the second line (x, y)=(-4,9), (-2,4), (0,-1), (2,-6)
We know that,
[tex]\text{slope }=m=\frac{y_2-y_1}{x_2-x_1}\\\\= > \frac{4-9}{-2+4} \\\\=-\frac{5}{2}[/tex]
The slope -intercept form of a line is given by,
y = mx + b ---(3)
Let us substitute ( x, y )= (-4, 9) in (1)
9 = (-5/2)*-4+b
2 - 1 = b
b = - 1 ----(4)
Let us substitute m and b in the slope-intercept equation (3)
[tex]y=-\frac{5}{2} x -1[/tex]
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20 points. Someone please help
Step-by-step explanation:
[tex](4(2) \: - 6(7) \: 5(1)) \\( 2( - 1) \: 4(5) \: - 1(2) ) \\ (8 \: - 42 \: \: 5 \\ - 2 \: \: \: 20 \: \: - 2)[/tex]
what property is 3x+2x+1-7=x+22
When Sam launched a potato from their potato cannon the potato traveled a horizontal distance of 150 feet and, at its highest, reached 90 feet.
Part A. Create a graph to represent the scenario. The graph should include at least the x- and y-intercepts and the vertex. (A complete graph consists of axis labels and appropriate scales, ordered pairs for each identified point, the function, and appropriate domain/range.)
Part B. Write a function to model the scenario.
Part C. Create a table of values to represent the scenario. Be sure to include at least five
values. Values should include at least the x- and y-intercepts and the vertex.
Part D. Identify how you see the x- and y-intercepts and vertex in the table, graph, and equation.
(PLEASE HELP)
This statement about distance is proved.
What is distance ?
It is length of space between two points.
Okay, so the first three components of this issue involve more physics and math. So, part A received the formula Ds = R. D. Data. We have to track down S. Therefore, we simply integrate both sides equally using R. D. Data. Our data are provided. Therefore, the upon integration over our data is just R 0 Santa plus 12 beta zeta squared for part B. We'll make sure S = V T. We combine these two by using the above equation as an equal. In order to allow it to reach its roots once positive, we can see that this is Justin's equation for data. The other negative, which is naturally a positive one because it has the proper physical meaning, would indicate that the rotation is occurring in the opposite direction.
Standard units, uh, are zero point 24/7 times, so switch to the nature radio's negative six setting. Additionally, we are given the time, which is 74 minutes, or 4440 seconds. Thus, plugging everything. Injecting R 0 and data mm hmm into the expression for data. Therefore, we enter better Data. V also appears. Everything is therefore known. We can confidently conclude that the data is, um, 1.337 x 10-5 brilliant. or 2.13 x 10 to 4 revolutions, in terms of turns. Okay. We simply re-insert the numbers for beta and tr zero V into the previous expressions for omega and alpha in the final section of the problem.
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The equation y = 0.44x + 87 models the cost y of renting a car if the car is driven x miles.
According to the model, what is the best estimate of the cost for renting a car if you plan to drive 545 miles? Please round your answer to the nearest dollar.
Solve for x.
E
G
×
11
C
7
J
D
(3x - 11)°
(2x+16)
H
Answer:
35
Step-by-step explanation:
The consecutive interior angles are supplementary, so:
[tex]3x-11+2x+16=180 \\ \\ 5x+5=180 \\ \\ x+1=36 \\ \\ x=35[/tex]
7. Consider a line containing the points (0,14) and (2, -8). What is the slope of any line
perpendicular
to it?
Answer:
a= (0,14) (2,-8)
Step-by-step explanation:
need help asap
please do it
It is to be noted that the information for the completed table is given accordingly to show the perimeters in millimeters and in centimeters.
What is a Perimeter?Perimeter simply refers to the total or sum of all the sides of a geometric shape. Note that the perimeter in units is obtained by counting the number of rectangles.
In the case of A:
Perimeter in Units = 10 Units.
Length is 60mm and width is 40mm
Perimeter = 30 + 20 + 30 + 20 = 100mm; and 10 cm
Recall that I cm = 10mm.
Hence, 100 /10 = 10 cm.
In the case of shape B:
Perimeter in Units = 41 Units.
Length is 400mm (that is 200 + 200)
Breath is 40mm (20 + 20)
Perimeter therefore is:
400 + 40 = 440mm
Perimeter in cm = 44
Recall, 10mm = 1cm
In the case of shape C:
Perimeter in Units = 36 Units.
Length is 10cm (that is 5 + 5)
Breath is 14mm (7 + 7)
Perimeter therefore is:
10+ 14 = 24cm
Perimeter in mm= 240
Recall, 10mm = 1cm
In the case of Shape D:
Perimeter in Units = 51 Units.
Length is 200mm (that is 100 + 100)
Breath is 100mm (50 + 50)
Perimeter therefore is:
200 + 100 = 300mm
Perimeter in cm= 230
Recall, 10mm = 1cm
In the case of Shape D:
Perimeter in Units = 53 Units.
Length is 260mm (that is 130 + 130)
Breath is 80mm (40 + 40)
Perimeter therefore is:
260 + 80 = 340mm
Perimeter in cm= 34
Recall, 10mm = 1cm
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what makes this statement true?
-1/8 ? -3/8
Answer:
-1/8>-3/8
Step-by-step explanation:
You can write it as a decimal.
-0.125 ? -0.375
Is the picture below a graph for the following inequality? Why or why not?
y<6x+1
Given picture is not a graph of inequality y < 6x + 1
In this question, we have been given a graph.
We need to determine whether the picture is a graph for the inequality y < 6x + 1 or not.
We know that the graph of equation y = 6x + 1 is a straight line and we represent a straight line graph by a solid line.
This graph represents a shaded region below dotted line. This means, this is the graph of inequality.
From this graph we can see that x-intercept of the equation is (2, 0) and y-intercept is (0, - 4)
If we find the x and y-intercept of y = 6x + 1 then it would be,
x - intercept = (-1/6 , 0)
y - intercept = (0, 1)
This means, given picture is not a graph of inequality y < 6x + 1
Therefore, given picture is not a graph of inequality y < 6x + 1
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if 4 years you shrink down for 1.7cm how much do you shink in year
Answer:
In a year you can shrink 0.625cm
Step-by-step explanation:
1.7/4=0.625
You must cut a triangle out of a sheet of paper. The only
requirements you must follow are that one of the angles
must be 60°, the side opposite the 60° angle must be 40
centimeters and one of the other sides must be 15
centimeters. How many different triangles can you make?
1,2,3 or4?
c. What is -3-6? What does that tell you about how many points Soledad has after the next round?
Step-by-step explanation:
i.)add 3 in 6 which = 9
ii.) follow the negative sign of the larger value which now ur finally answer is -9
help pls giving 20 points
Answer:
A
Step-by-step explanation:
On a number line, I would start at 32 and then go left on the number line 17 spaces. This would land me at positive 15.
Factorise
y²-2y-48
Answer: y²-2y-48=(y-8)(y+6)
Step-by-step explanation:
[tex]y^2-2y-48=\\\\y^2-8y+6y-48=\\\\y(y-8)+6(y-8)=\\\\(y-8)(y+6)[/tex]
Answer:
y²-2y-48=(y-8)(y+6)
Step-by-step explanation:by factorization
y2-2y-48= y2-8y+6y48= y(y-8)+6(y-8)= (y-8)(y+6)
i need help on this, thanks
Answer:
m<1 = 159° m<2 = 21° m<4 = 21°
Step-by-step explanation:
Since angle measure 3 was found, seeing that 3 and 1 are vertical angles (congruent) they equal the same, meaning angle measure 1 is also 159°. Also seeing that angle measure 3 and 2 are supplementary angles (2 or more angles that add up to 180°) subtracting 159° will give you 21°. Once again there are another set of verital angles, 2 and 4 making 4 also 21°
A teacher is buying markers. Each set of markers includes 5 markers and cost $3.00. The teacher uses a $3-off coupon toward the total cost of all the markers bought. If there is no tax added to the final cost of the markers after the coupon and the teacher paid a total of $15, how many markers did she buy?
A. 6
B. 25
C. 30
D. 35
Answer:
30 markers
Step-by-step explanation:
(15 what she spent)+(3 the 3 dollors off)=
18/(3 the price of markers)=
(6 sets)*(5 how many is in a set)=
(30 final anwser)
The points ( – 5,j) and (5, – 6) fall on a line with a slope of – 7/10 . What is the value of j?
Answer:
j = 1
Step-by-step explanation:
calculate the slope m between the 2 points and equate to - [tex]\frac{7}{10}[/tex]
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, j ) and (x₂, y₂ ) = (5, - 6 )
m = [tex]\frac{-6-j}{5-(-5)}[/tex] = [tex]\frac{-6-j}{5+5}[/tex] = [tex]\frac{-6-j}{10}[/tex]
then equating gives
[tex]\frac{-6-j}{10}[/tex] = - [tex]\frac{7}{10}[/tex] ( cross- multiply )
10(- 6 - j) = - 70 ( divide both sides by 10 )
- 6 - j = - 7 ( add 6 to both sides )
- j = - 1 ( multiply both sides by - 1 )
j = 1
The longest worm is ? times as long as the shortest worm.
Please help, super behind in the class and still trying to learn and catch up.
Given the equation and table below, determine the following
(Picture below)
Answer: See attached and/or view below.
Step-by-step explanation:
Since we are given the equation, we can plug the values into it and solve for the unknown. We will solve by isolating the variable and using reverse operations.
x = 1, y = 34
2x + y = 36
2(1) + y = 36
2 + y = 36
y = 34
x = -2, y = 40
2x + y = 36
2(-2) + y = 36
-4 + y = 36
y = 40
y = 18, x = 9
2x + y = 36
2x + (18) = 36
2x = 18
x = 9