I would respond that Bonnie is correct. A pyramid with 6 vertices, or corners, would have a hexagonal base, which means it would be a pyramid with a base that is a hexagon. Therefore, the correct name for this type of pyramid is a hexagonal pyramid.
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Please help asap i need this badly
Answer:
75 seconds
Step-by-step explanation:
You want to know how long it took Sean to drink his slushy, given a graph of amount remaining versus time.
RemainingSean will have finished his slushy when the amount remaining is zero. That point on the graph occurs when the time is 75 seconds.
It takes 75 seconds for Sean to finish the slushy.
<95141404393>
Use the Variables Section, Gender, Age, Nationality, GPA, Midterm Score, Income, Expenditure, no. of credits, no. of absence, Learning Preference, Online Device ) from TABLE 1 to state the following Hypotheses
Hypothesis 1: There is a positive correlation between gender and GPA.
Hypothesis 2: There is a positive correlation between age and midterm score.
Hypothesis 3: There is a negative correlation between nationality and income.
Hypothesis 4: There is a negative correlation between expenditure and no. of credits.
Hypothesis 5: There is a positive correlation between no. of absences and learning preference.
Hypothesis 6: There is a positive correlation between online device usage and income.
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Factorise this expression as fully as possible
16t³ + 10t
Factorization of expression 16t³ + 10t is 2t (8t² + 5) .
Factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, 3 × 5 is a factorization of the integer 15
Given expression
16t³ + 10t
It can be written as
2 × 8 (t . t . t ) + 2 × 5 (t)
Factoring out common factors
2t (8t² + 5)
Hence, 2t (8t² + 5) is factorization of expression 16t³ + 10t
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The scale factor of two similar hexagons is 3:7.
The area of the smaller hexagon is 18 m2.
What is the volume of the larger hexagon?
Question 7 options:
5832 m2
36 m2
42 m2
324 m2
98 m2
Since the two hexagons are similar, their corresponding sides are in the same ratio as the scale factor.
Let x be the length of a side of the smaller hexagon, then the corresponding length of a side of the larger hexagon can be expressed as (3/7)x.
The area of a hexagon can be calculated using the formula: A = (3√3/2)s², where s is the length of a side.
Since the area of the smaller hexagon is 18 m², we can solve for x as follows:
18 = (3√3/2)x²
x² = 12/√3
x = 2√3
Now we can calculate the area of the larger hexagon:
Area of the larger hexagon = (3√3/2)(3/7x)² = (3√3/2)(3/7(2√3))² = 54/49 m²
Finally, we can calculate the volume of the larger hexagon, assuming it is a regular hexagonal prism:
Volume of the larger hexagon = Area of hexagon x Height
The height of the hexagonal prism is the same as the length of the side of the larger hexagon, which is (3/7)x:
Volume of the larger hexagon = (54/49) x (3/7)x = 54/343 x² ≈ 0.212 x²
Substituting the value of x, we get:
Volume of the larger hexagon ≈ 0.212 x (2√3)² = 1.272 m³
Therefore, the volume of the larger hexagon is approximately 1.272 m³.
Well, I'm not sure if it's correct but I got 42.
I got this by doing something along the lines of:
1) 18/x = 3/7
2) Cross multiply
3) 3x = 126
4) Divide both sides by 3
5) x = 42
For which value(s) ofcdoes the equationx+4−c=0has a solution. (A)c=−4(B)c=0(C)0
For none of the option the linear equation x+4=c have solution.
The equation x + 4 - c = 0 can be rearranged to isolate the variable c on one side of the equation. This gives us:
c = x + 4
Now, we can see that the value of c depends on the value of x. In other words, there are infinitely many values of c that make the equation true, as long as they are equal to x + 4.
So the answer to the question is that there are infinitely many values of c that make the equation x + 4 - c = 0 true. None of the given options (A) c = -4, (B) c = 0, or (C) 0 are correct.
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Convert the following phrase into a mathematical expression. Use x as the variable. Combine like terms when possible.
A number multiplied by −8, subtracted from the sum of 5 and three times the number
The expression is ____.
The expression will be 5 + 11x.
What is an expression?
An expression in mathematics is a combination of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.)
It is possible to compare expressions to phrases. In English, a phrase by itself may contain an action, but it does not constitute a whole sentence.
Explanation: 3 + 7
Let the number to be "x"
Step 1 : the number is multiplied by - 8
So, -8 x
Step 2 : subtracted from the sum of 5 and 3 times the number
So, (5 +3x) - (-8x)
= 5+3x + 8x
= 5 + 11x
Hence, The final expression will be 5 + 11x.
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if the diameter of a cone is 19 yd and the height is 13 yd . What is the volume?
If the diameter of a cone is 19 yd and the height is 13 yd, the volume of this cone is equal to 1,228 cubic yard.
How to calculate the volume of a cone?Mathematically, the volume of a cone can be calculated by using this formula:
V = 1/3 × πr²h
Where:
V represents the volume of a cone.h represents the height.r represents the radius.Radius = diameter/2 = 19/2 = 9.5 cm.
Substituting the given parameters into the volume of a cone formula, we have the following;
V = 1/3 × πr²h
V = 1/3 × 3.14 × 9.5² × 13
Volume, V = 1,228 cubic yard.
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Find the perimeter of the triangle. Please show your work.
Answer:
Perimeter=33
Step-by-step explanation:
2x+3=4x-3
0=2x-8
2x=8
x=4
Input 4 as Variable
2x+3=2(4)+3
=8+3
=11
P=3x11
P=33
1. a) Indicar tres monomios semejantes a - 3x¹.
b) ¿Vo F? 12ab y -12ab son semejantes.
c) ¿Vo F? 2x²y y 2xy² son semejantes.
d) Escribir dos monomios semejantes de grado 5 y cuya parte literal conste de dos letras.
Answer:
a) -5x, 3x y 7x son monomios semejantes a -3x¹.
b) Verdadero, ya que ambos tienen coeficiente -12 y la misma parte literal ab.
c) Falso, ya que el primer monomio tiene exponente 2 en la variable x y exponente 1 en la variable y, mientras que el segundo monomio tiene exponente 1 en x y exponente 2 en y.
d) 3x²y³ y 2x²y³ son dos monomios semejantes de grado 5 y cuya parte literal consta de las variables x e y elevadas a exponentes 2 y 3 respectivamente.
Solve
5sin(x)−2cos(x)=3
for the first 2 positive solutions
x=
Give your answers accurate to at least 2 decimal places, as a list separated by commas Let
f(x)=5.7sin(x)−3.9cos(x)
. What is the maximum and minimum value of this function?
max=
min=
Report answers accurate to 4 decimal places.
The maximum value of the function is 6.9159 and the minimum value is -6.9159, accurate to 4 decimal places. The answers should be provided as a list separated by commas, so the final answer is:
max = 6.9159, min = -6.9159
The first step in solving 5sin(x)−2cos(x)=3 is to rearrange the equation to isolate the sin(x) term. We can do this by adding 2cos(x) to both sides of the equation:
5sin(x) = 3 + 2cos(x)
Next, we can divide both sides of the equation by 5 to isolate the sin(x) term:
sin(x) = (3 + 2cos(x))/5
Now, we can use the Pythagorean identity sin^2(x) + cos^2(x) = 1 to substitute for cos(x) and solve for sin(x):
sin^2(x) = (3 + 2√(1 - sin^2(x)))/5
Multiplying both sides of the equation by 5 and rearranging gives us:
5sin^2(x) - 2√(1 - sin^2(x)) - 3 = 0
We can use the quadratic formula to solve for sin(x):
sin(x) = (-(-2) ± √((-2)^2 - 4(5)(-3)))/(2(5))
Simplifying gives us:
sin(x) = (2 ± √(28))/10
Using a calculator, we can find the first 2 positive solutions for x:
x = sin^-1((2 + √(28))/10) ≈ 0.72, 2.42
Therefore, the first 2 positive solutions for x are 0.72 and 2.42, accurate to at least 2 decimal places.
To find the maximum and minimum values of f(x)=5.7sin(x)−3.9cos(x), we can use the formula:
max = √(a^2 + b^2)
where a and b are the coefficients of the sin(x) and cos(x) terms, respectively. Substituting in the values for a and b gives us:
max = √((5.7)^2 + (-3.9)^2) ≈ 6.9159
The minimum value of the function is the negative of the maximum value:
min = -6.9159
Therefore, the maximum value of the function is 6.9159 and the minimum value is -6.9159, accurate to 4 decimal places. The answers should be provided as a list separated by commas, so the final answer is:
max = 6.9159, min = -6.9159
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What is the set of x-intercepts of this graphed function?
-3, -1, 3
Step-by-step explanation:X-intercepts are also known as the roots or zeros of a function.
Finding Intercepts From Graphs
In the problem, we are given a basic polynomial graph. The x-intercepts are where the graphs intersect with the x-axis. Remember that the x-axis is the horizontal axis. Finding x-intercepts when given a graph is as simple as just looking to see where the line crosses over. We can see that the graph crosses the axis in three points. The x-intercepts are x = -3, -1, and 3.
Finding Intercepts From Equations
In this question, we are not given an equation, but if we were there is another possible way to solve it. The x-intercepts occur when y = 0. So, to find x-intercepts from an equation, all you need to do is plug 0 in for y and solve.
Which graph represents the solution for the open sentence 3|p|−5<7
?
Responses
Number line ranging from negative five to five. A line begins with an open point at negative four and continues to the left without end. A second line begins with an open point at four and continues to the right without end.
Image with alt text: Number line ranging from negative five to five. A line begins with an open point at negative four and continues to the left without end. A second line begins with an open point at four and continues to the right without end.
Number line ranging from negative five to five. A line begins with an open point at negative four and ends with an open point at four.
Image with alt text: Number line ranging from negative five to five. A line begins with an open point at negative four and ends with an open point at four.
Number line ranging from negative five to five. A line begins with a closed point at negative four and ends with a closed point at four.
Image with alt text: Number line ranging from negative five to five. A line begins with a closed point at negative four and ends with a closed point at four.
Number line ranging from negative five to five. A line begins with a closed point at negative four and continues to the left without end. A second line begins with a closed point at four and continues to the right without end.
The graph that represents the solution for the open sentence 3|p|−5<7 is:
What is graph?a diagram (such as a series of one or more points, lines, line segments, curves, or areas) that represents the variation of a variable in comparison with that of one or more other variables
: the collection of all points whose coordinates satisfy a given relation (such as a function)
: a collection of vertices and edges that join pairs of vertices
Number line ranging from negative five to five. A line begins with an open point at negative four and ends with an open point at four.
Image with alt text: Number line ranging from negative five to five. A line begins with an open point at negative four and ends with an open point at four.
In this graph, the open points at -4 and 4 indicate that the values of p that make the inequality true do not include -4.
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en thatf(x)=x2−3xandg(x)=x+10f+g=f−g=fg=gf=Use the following functions to: find, simplify, and identify the domain of each of the function combinations.f(x)=x2−11xandg(x)=x+9(a)(f+g)(x)=Domain of(f+g)(x): (b)(f−g)(x)=Domain of(f−g)(x): (c)(fg)(x)=Domain of(fg)(x): (d)(gf)(x)=Domain of(gf)(x)
The function combinations and their respective domains are as follows:
(a) (f+g)(x) = f(x) + g(x) = x^2 - 11x + x + 9 = x^2 - 10x + 9
The domain of (f+g)(x) is all real numbers, since there are no restrictions on the values of x.
(b) (f-g)(x) = f(x) - g(x) = x^2 - 11x - (x + 9) = x^2 - 12x - 9
The domain of (f-g)(x) is also all real numbers, since there are no restrictions on the values of x.
(c) (fg)(x) = f(x) * g(x) = (x^2 - 11x)(x + 9) = x^3 - 2x^2 - 99x
The domain of (fg)(x) is all real numbers, since there are no restrictions on the values of x.
(d) (gf)(x) = g(x) * f(x) = (x + 9)(x^2 - 11x) = x^3 - 2x^2 - 99x
The domain of (gf)(x) is all real numbers, since there are no restrictions on the values of x.
In conclusion, the domain of all the function combinations is all real numbers, since there are no restrictions on the values of x.
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2(3) to the power of 3 plus 5
A) if taxi fare (y) is 50 cents plus 20 cents per quarter mile, write the equation relating fare to number of miles traveled, m.
B) The weekly earning of a salesman are $50 plus 10 percent of the retail value of the goods he sells. Write the equation for earnings, E, in terms of sales volume, V. What is the slope of this line called?
(A) The equation relating fare to number of miles traveled, m, is y = 0.50 + 0.80m
(B) The equation for earnings, E, in terms of sales volume, V, is E = 50 + 0.10V. The slope of this line is called marginal revenue.
A) The taxi fare starts at 50 cents and increases by 20 cents for every quarter mile traveled. This means that for every mile traveled (4 quarters), the additional cost will be 80 cents per mile traveled. The equation that will relate the fare, y, to the number of miles traveled, m, is y = 0.50 + 0.80m.
B) The equation E = 50 + 0.10V shows that the weekly earning of a salesman starts at $50 and increases by 10 percent of the retail value of the goods he sells. The slope of this line is 0.10, which represents the rate of change in earnings with respect to sales volume. This slope is called the marginal revenue, as it represents the additional revenue earned for each additional unit of sales volume.
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Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charges a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.
The system of equations shown models the total costs for taking 10 classes at each.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
Given that Toe Tappers charges a rate for each class plus a one-time registration fee.
Dance World, y = 15x
Toe Tappers, y = 25 + 12.5x
Where x = number of classes
Now Equate the total cost at both dance studios;
15x = 25 + 12.5x
Collect like terms;
15x - 12.5x = 25
2.5x = 25
Divide both sides by 2.5;
2.5x / 2.5 = 25 / 2.5
x = 10 classes
Thus, x = number of classes = 10
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The graph of polygon FGHI is shown. Graph the image of FGHI after a reflection across the line y=-1. Include the line of reflection. Then write the coordinates of the image.
The coordinates of the reflected polygon F'G'H'I' are as follows:
F'(-2, -1), G'(5, -4), H'(8, -5), and I'(6, -2).
What is the reflection?In mathematics, reflection is defined as the mirror image of a figure crossing a line (drawn or imagined), known as the line of reflection.
The vertices of the polygon FGHI are as follows:
F(2, -1)
G(5, 2)
H(8, 3)
I(6, 0)
To reflect the polygon FGHI across the line y = -1, we need to flip the points over the line.
Now we can reflect each of the points of the polygon across the line y = -1 to get the image:
F(2, -1) stays in the same place because it lies on the line of reflection.
G(5, 2) is reflected to G'(5, -4) by flipping it vertically across the line y = -1.
H(8, 3) is reflected to H'(8, -5), and
I(6, 0) is reflected to I'(6, -2).
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Question 4.
A high school sports team is ordering sports drinks online from a company. The price of sports drinks varies, based on the number of drinks purchased. For orders of 50 or fewer sports drinks, the price is $0.80 per drink, plus $10 shipping and handling. When more than 50 sports drinks are ordered, the price is $0.70 per drink, plus $15 shipping and handling. What is the maximum amount of sports drinks you can purchase for $75?
A. 85
B. 81
C. 92
D. 107
Using the equatiοns, we fοund that the maximum amοunt οf spοrts drinks yοu can purchase fοr $75 is 86.
What is meant by an equatiοn?A mathematical equatiοn is a fοrmula that uses the equals symbοl (=) tο cοnnect twο expressiοns and express their equality. The definitiοn οf an equatiοn in algebra is a mathematical statement that prοves twο mathematical expressiοns are equal. LHS = RHS (left-hand side = right-hand side) appears in all mathematical equatiοns. Yοu can sοlve equatiοns tο determine an unknοwn variable's value, which cοrrespοnds tο an unknοwn quantity. It is nοt an equatiοn if there is nο "equal tο" sign in the statement. That shall be taken intο accοunt as an expressiοn.
Let,
the number οf drinks = x
the tοtal cοst οf the x drinks = y
Then we can write equatiοns using the given infοrmatiοn.
When the οrder cοntains 50 οr fewer spοrts drinks, the equatiοn is:
y = 0.8x + 10
When the οrder cοntains mοre than 50 spοrts drinks, the equatiοn is:
y = 0.7x + 15
Since we have tο find the number οf drinks fοr $75, we can write that:
y = 75
Substituting in the equatiοns,
75 = 0.8x +10
65 = 0.8x
x= 81.25 = 81
75 = 0.7x +15
60 = 0.7x
x = 85.7 = 86
Nοw, 86 > 81
Therefοre using the equatiοns, we fοund that the maximum amοunt οf spοrts drinks yοu can purchase fοr $75 is 86.
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Solve the proportion.
x/4=2/5
Answer:
[tex]x=1.6[/tex]
Step-by-step explanation:
To solve, first cross-multiply:
[tex]\frac{x}{4} = \frac{2}{5}[/tex]
[tex]5x = (4)(2)[/tex]
Then, solve the equation:
[tex]5x=8[/tex]
[tex]x=\frac{8}{5}[/tex]
[tex]\frac{8}{5} = 1.6[/tex]
[tex]x=1.6[/tex]
Therefore, x = 1.6.
I hope this helps!
HELP ME OUT IM CONFUSED
NEED HELP DUE TODAY!!!!!!!
Express each radian measurement in degrees.
• π/3 radians
• 5π/4 radians
4. Express each degree measurement in radians.
• 30°
• 120°
5. For each pair of angle measurements, circle the one which is larger.
• π radians or 200 degrees
• 3π/2 radians or 200 degrees
• 1 radian or 90 degrees
• π/3 radians or 45 degrees
Three radians, or 45 degrees, are the greater angle between each pair of measurements.
what is angle ?An angle is a figure created in geometry by two rays or line segments that meet at the vertex of the angle. The edges of the angle are the rays or line segments. Angles are used to describe the amount of rotation or turn between two lines or objects. For instance, a 90-degree angle is equivalent to a quarter turn, while a 180-degree angle is equivalent to a half turn or a straight line. A full turn plus a smaller angle is equivalent to an angle that is larger than 180 degrees but less than 360 degrees.
given
In degrees, express each radian number.
• 3 radians equals 60 degrees (multiply the radian measurement by 180/ to transform radians to degrees).
• 225 degrees = 5/4 radians
Use radians to determine each degree.
• 30° Equals /6 radians (multiply the degree measurement by /180 to convert degrees to radians)
• 120° equals 2.3 radians
Circle the larger angle between each set of measurements.
• Radians or degrees: 200 degrees (to measure, 180 degrees are equal to one radian).
• 200 degrees or 32 radians: 200 degrees
• One radian is equal to 90 degrees.
Three radians, or 45 degrees, are the greater angle between each pair of measurements.
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The question is in the screenshot:
We can deduce that 3pi/4<5pi/3<2pi
The angle is in the 4th quadrant. To find the angle you just do:
[tex]2\pi -\frac{5\pi }{3}=\frac{\pi }{3}[/tex]
The answer to your question is B. I hope that this is the answer that you were looking for and it has helped you.
Christian's money from his job increased from $12 hour to $21 hour. What is the percent increase?
Answer:
75%
Step-by-step explanation:
Starting value: 12
Final Value: 21
Subtract final value minus starting value
Divide that amount by the absolute value of the starting value
Multiply by 100 to get percent increase
If the percentage is negative, it means there was a decrease and not an increase.
A store is planning on having New Year's sale in which all winter coats will be discounted by 60%. Find the sale price of a coat that
has a regular price of $80
Answer:
$32
Step-by-step explanation:
Since the coats are discounted by 60%, we need to find 100-60=40% of the original price.
We need to find 40% of 80.
We can use proportional relationships.
100%=80
10%=8
40%=32
The weight of Jacob’s backpack is made up of the weight of the contents of the backpack as well as the weight of the backpack itself. Seventy percent of the total weight is textbooks. His notebooks weigh a total of 4 pounds, and the backpack itself weighs 2 pounds. If the backpack contains only textbooks and notebooks, which equation can be used to determine t, the weight of the textbooks?
The equation that can be used to determine the weight of the textbooks is t = 0.7(t + 4 + 2) = t
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
Given that, the notebooks weigh a total of 4 pounds, and the backpack itself weighs 2 pounds. If the backpack contains only textbooks and notebooks, seventy percent of the total weight is textbooks,
Let the weight of the textbooks= t
The backpack of the book= 2 pounds
The weight notebook in total = 4 pounds
But remember that 70% of total weight is the textbooks.
Therefore, the equation can be computed as
70%(t + 4 + 2) = t
0.7(t + 4 + 2) = t
Hence, the equation that can be used to determine the weight of the textbooks is t = 0.7(t + 4 + 2) = t
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1. A wholesaler received a shipment of goods, which is reported to be containing at most 2% defective items. He will accept the shipment if the claim is found true and reject if the percentage of defective items is more. To verity this claim, he draws a sample of 200 items and finds that 10 items are defective. Use 5% level of significance to investigate the claim.
At a 5% level of significance, the claims that a shipment of goods contains at most 2% defective items is accepted.
To investigate the claim that the shipment contains at most 2% defective items, we can use the 5% level of significance. The claim is that the population proportion of defective items is at most 2%, or p0 ≤ 0.02. The sample size is n = 200, and the sample proportion of defective items is pobs = 10/200 = 0.05.
The test statistic is then:
z = (pobs - p0) / √(p0(1-p0) / n)
= (0.05 - 0.02) / √(0.02(1-0.02)/200)
= 1.02.
With a 5% level of significance, we can look up the critical value for a one-tailed z-test and find that it is zα/2 = 1.645. Because 1.02 < 1.645, the test statistic is not greater than the critical value, and thus we fail to reject the null hypothesis that the population proportion of defective items is at most 2%.
In conclusion, with a 5% level of significance, the claim that the shipment contains at most 2% defective items is accepted.
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Which expressions contain exactly two terms? Choose ALL that are correct. Responses −5+6x+3y2 − 5 + 6 x + 3 y 2 4x 4 x 7−9x 7 − 9 x (x+2)(y−4) ( x + 2 ) ( y − 4 ) 8x2+5x
The expression -5 + 6x + 3y2 has three terms, and the expression (x+2)(y-4) is a product of two factors, not a sum or difference of terms.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division, without the use of equal sign (=). It can include one or more terms, which are separated by addition or subtraction operators.
The expressions that contain exactly two terms are:
7 - 9x
8x2 + 5x
Therefore, The expression -5 + 6x + 3y2 has three terms, and the expression (x+2)(y-4) is a product of two factors, not a sum or difference of terms.
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A) write 19/20 as a decimal b)write 19/20 as a percentage
Answer:
0.95 and 95%
Step-by-step explanation:
19/20 as a decimal is 19÷20=0.95
as it's 0.95 as a decimal it's 95% as a percentage
Answer:
A) 0.95
B) 95%
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Determine the Equation of circle A
Answer:
Step-by-step explanation:
When writing the equation for a circle on a plane, we use the format:
[tex](x-x_{1})^2+(y-y_{1})^2=r^2[/tex]
x1 and y1 is the point of the center of the circle, which in this case is (1,-2)
r represents the radius, which is the distance from the center to the edge of the circle, which is (4,-2) - (1,-2) = 3
Our equation is now:
[tex](x-1)^2+(y+2)^2=9[/tex]
the reason why its y+2 is because (y-(-2) = (y+2)
r is squared, which is why it's 9 instead of 3. Hope this helps!
Mr. Packer is selling cheese cubes that weigh 1/4 pound. To make the cubes, he cuts up a 3 pound block of cheese
Answer:
12 blocks will made from the 3 pound block
Step-by-step explanation: