The 3D object above is sliced parallel to the base. What shape is formed?choice;rectangleoctagontrianglehexagon
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If the figure is sliced parallel to the base, the figure formed is a hexagon.
Answer: hexagon
Answer:
Step-by-step explanation:
A hexagon is formed
Related Questions
Hello could you please help me with question number six?
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Given:
Camilo purchased a coin from the dealer for $300.
Value of the coin increases 5% per year.
[tex]\begin{gathered} \text{Value of the coin in 5 years=}300(1+\frac{5}{100})^5 \\ \text{Value of the coin in 5 years=}300(\frac{105}{100})^5 \\ \text{Value of the coin in 5 years=}300(1.2763) \\ \text{Value of the coin in 5 years= \$382.}89 \end{gathered}[/tex]What is the area of the polygon A)96 cm2B)64 cm2C)256 cm2D)112 cm2
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Answer:
64 cm^2
Step-by-step explanation:
Area of the square is: 4*4 = 16
Area of one triangle on star: 0.5*4*6 = 12
Area of all 4 triangles: 12*4 = 48
Total area: 16 + 48 = 64
Karla says 4 2/3 and 4.7 would fall between ✓17 and 4 3/4O FactO Fib
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As we can see:
4.66666.... is between 4.1231.... and 4.75
And
4.7 is also between 4.1231... and 4.75.
Therefore, it is a fact.
If y=mx, and y is 12 when x is 4, then what is the constant of proportionality in this equation?A. 1/3B. 3C. 8D. 16
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The constant of proportionality,m, is 3 (option B)
The coefficients in the expansion of (x+y)6 are?
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Answer:
1, 6, 15, 20, 15, 6, 1
Explanation:
Given the expression
(x+y)^6
To determine the coefficient of the expansion, we will use the pascal triangle as shown:
For degree 0, coefficeint is 1
For degree 1, coefficeint is 1, 1
For degree 2, coefficeints are 1, 2, 1
For degree 3, coefficeints are 1, 3, 3, 1
For degree 4, coefficeints are 1, 4, 6, 4, 1
For degree 5, coefficeints are 1, 5, 10, 10, 5, 1
For degree 6, coefficeints are 1, 6, 15, 20,15, 6, 1
Hence the coefficients in the expansion are 1, 6, 15, 20,15, 6, 1
Please help me with the second one what is the average rate of change?
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It's important to know that the domain refers to the x-values of the function, and the range refers to the y-values of the function. Graphically, the domain would be the x-axis and the range would be the y-axis, that is, their values.
As you can observe in the given graph, the function doesn't have any interruption or restriction horizontally, it goes from the negative x-axis to the positive x-axis, this means the domain is all real numbers from negative infinity to positive infinity, as follows
[tex]D=(-\infty,\infty)[/tex]On the other hand, the range of the given function is from y = -2 to positive infinity, it's important to know that y = -2 is excluded from the range because as you can observe the function curves there without crossing y = -2. So, the range is
[tex]R=(-2,\infty)[/tex]For the second question of the problem, we have to select two y-values from x = 0 and x = 1, which is the given interval. From the graph, we can identify that x = 0 belongs to y = -1, and x = 1 belongs to y = 1. So, we have the points (0,-1) and (1,1). Now, we use the following formula to find the average rate of change.
[tex]r=\frac{f(b)-f(a)}{b-a}[/tex]Where a = 0, f(a) = -1, b = 1, and f(b) = 1, note that these values are the coordinates of the two points we selected. Let's use these values to find the rate.
[tex]r=\frac{1-(-1)}{1-0}=\frac{1+1}{1}=\frac{2}{1}=2[/tex]Therefore, the average rate of change over the interval [1,0] is 2.Answer:
the average rate of change over the interval [1,0] is 2.
Step-by-step explanation:
What are the necessary conditions to apply the SAS Triangle Congruence Theorem?
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See explanation below
Explanation:The necessary conditions to apply the SAS Triangle Congruence Theorem:
The angle included between any two sides of a triangle must be the same with the corresponding two sides and angle included in another triangle.
SAS = side-angle-sides
From the diagram above, triangle ABC is congruent to triangle EFG under the SAS triangle theorem
In other words, two triangles are congruent if the pair of the sides in each triangle and the included angle are congruent.
john lives 3/8 mile from the museum of science. sylvia lives 1/4 mile from the museum of science. how much closer is sylvia to the museum?
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We have that the distance Sylvia is closer to the museum equals:
[tex]\frac{3}{8}-\frac{1}{4}=\frac{1}{8}=0.125[/tex]So, she is 0.125 miles closer than John.
***
To determine the difference between two values, we subtract the smallest value from the greatest value, which gives us the difference between them.
Since 3/8 > 1/4 we subtract 1/4 from 3/8.
10. consecutive 11. alternative exterior 12. alternative interiorI need help with explanation why that's the answer
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3 and 4 are consecutive: when two lines are crossed by another line calledtransversal.
ABC and GFH are alternate exterior: are a pair of angles on the outer side of each of those lines but on opposite sides of the transversal.
. and . are alternate interior. are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.
I need help number 7
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Linear and Exponential Functions
Both linear and exponential functions are widely used to model facts of life. Conversely, the exponential function is best suited for cases where the change of the values depends on the actual values.
The linear function usually grows or decays at a fixed rate.
a.
Air freshener A has an initial mass of 47 grams and it decreases by 3.4 grams each day. Being t the number of days, the equation for the mass of the air freshener A is:
[tex]m_A=47-3.4t[/tex]b.
Air freshener B has an initial mass of 47 grams and it decreases by 3.4% each day.
The equation for the mass of the air freshener B is:
[tex]\begin{gathered} m_B=47\cdot(1-0.034)^t \\ m_B=47\cdot0.966^t \end{gathered}[/tex]c. Analyze each statement and establish if it's true or false.
* Air freshener B will eventually have a mass of 0 grams. As mentioned above, the exponential model has a decrease or increase rate that depends on the current value (or mass). Since we will always have some mass, the next value will be less than the previous one, but never zero. It can be checked when looking at the exponential function graph. It never reaches 0. This statement is false (unchecked).
* It takes longer to air freshener A to reach a mass of 25 grams than air freshener B. Let's check it. From the model of A:
[tex]\begin{gathered} m_A=47-3.4t=25 \\ \text{Solving for t:} \\ t=\frac{25-47}{-3.4}=6.47days \end{gathered}[/tex]Substituting this value of t in B:
[tex]m_B=47\cdot0.966^{6.47}=37.58grams[/tex]So, when A has 25 grams, B has 37.58 grams. This statement is false because B needs more time to reach 25 grams.
* 5 days after being opened, air freshener A will have a larger mass than air freshener B. Let's substitute t=5 in both models:
[tex]\begin{gathered} m_A=47-3.4*5 \\ m_A=47-17=30grams \end{gathered}[/tex][tex]m_B=47\cdot0.966^5=39.54\text{ grams}[/tex]This statement is false. Unchecked.
* Air freshener A will eventually have a mass of 0 grams.
This is true because we can solve the equation for t:
[tex]\begin{gathered} t=\frac{47-m_A}{3.4} \\ t=\frac{47-0}{3.4}=13.82days \end{gathered}[/tex]This sentence is true. Checked
Avionna earns $24.44/h and works 32 hours per week. What is her gross annualincome? Round answer to the hundredths place. IF answer does not havehundredths place then use zero so that it does. Use the word for the units not asymbol.
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Avionna earns $24.44/h
She works 32 hours per week, the amount she earns per week will be
[tex]=24.44\times32=\text{ \$782.08}[/tex]To calculate her annualm gross income, we multiply by 52 (number of weeks in a year?
Her annual gross income will be
[tex]\begin{gathered} =782.08\times52 \\ =\text{ \$40668.16} \end{gathered}[/tex]Hence her gross annual income is $40668.16 (nearest hundredth)
a 16 foot piece of wood was cut into two pieces. the longer of is 3 feet less than twice the shorter piece. what is the length of the longer piece of wood?
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Explanation
Step 1
Let
total length(purple line)= 16 feet
shorter piece= x
twice the shorter piece=2x
the longer piece= y
the longer is 3 feet less than twice the shorter piece.( in other words you have to add 3 to the longer pice to obtain twice the shorter piece)
[tex]\begin{gathered} y+3=2x \\ y=2x-3\text{ Equation (1)} \end{gathered}[/tex]Also
shorter piece+longer piece = full wood piece
replacing
[tex]x+y=16\text{ Equation (2)}[/tex]Step 2
fin x and y , using Equation (1) and (2)
i)repace equation (1) in equation (2)
[tex]\begin{gathered} y=2x-3\text{ Equation (1)} \\ x+y=16\text{ Equation (2)} \\ repplace \\ x+2x-3=16 \\ 3x-3=16 \\ 3x=16+3 \\ x=\frac{19}{3} \end{gathered}[/tex]ii)
replace the value of x in equation (1) to find y
[tex]\begin{gathered} y=2x-3\text{ Equation (1)} \\ y=2\cdot\frac{19}{3}-3 \\ y=\frac{38}{3}-3 \\ y=\frac{29}{3} \end{gathered}[/tex]I hope this helps you
the form y=axPlot five points on the graph of the function: one point with x=graph-a-function button.10130141
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At first let us choose the 5 points
at x = 0, y = 0
The first point is (0, 0)
[tex]y=ax^3[/tex]We will choose a = 1/2
The points are
(-2, -4)
(-1, -1/2)
(0, 0)
(1, 1/2)
(2, 4)
[tex]y=\frac{1}{2}^{}x^3[/tex]2 2 -2 Which of the following is an equation of line k in the xy-plane above? (A) y=-*-4 (B) y = x+2 (C) 2y - 3x = -8 (D) 2y - 3x = -4
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Answer
Option C is correct.
The equation of line k is 2y - 3x = -8
Explanation
The slope and y-intercept form of the equation of a straight line is given as
y = mx + c
where
y = y-coordinate of a point on the line.
m = slope of the line.
x = x-coordinate of the point on the line whose y-coordinate is y.
c = y-intercept of the line.
From the graph attached, we can see that the y-intercept is -4 because the line crosses the y-axis at (0, -4).
Then, for the slope, for a straight line, the slope of the line can be obtained when the coordinates of two points on the line are known. If the coordinates are (x₁, y₁) and (x₂, y₂), the slope is given as
[tex]Slope=m=\frac{Change\text{ in y}}{Change\text{ in x}}=\frac{y_2-y_1}{x_2-x_1}[/tex]Using the points where the graph crosses the x and y axis as the two points,
(x₁, y₁) and (x₂, y₂) are (0, -4) and (8/3, 0)
[tex]\text{Slope = }\frac{0-(-4)}{\frac{8}{3}-0}=\frac{4}{\frac{8}{3}}=\frac{3}{2}[/tex]Recall that
y = mx + c
m = 3/2
c = -4
y = (3/2) (x) - 4
Multiply through by 2
2y = 3x - 8
2y - 3x = -8
Hope this Helps!!!
I need step by step help understanding dividing decimals the question is 0.86 divided by 0.004
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Here are the steps in dividing the given decimal.
1. Convert the divisor 0.004 into a non-decimal value by multiplying it by 1000.
[tex]0.004\times1000=4[/tex]In the same way, multiply the dividend 0.86 by 1000 as well.
[tex]0.86\times1000=860[/tex]2. The division now becomes 860 divided by 4. Let's now divide the numbers using short division.
Hence, the quotient of 860 by 4 is 215.
Therefore, 0.86 divided by 0.004 is 215.
Answer:
215.
Step-by-step explanation:
Divide decimals by multiplying both numbers by a factor of 10 so the divisor no longer has a decimal value. Then, use long division to divide as normal. Place the decimal point in the quotient directly above the decimal point in the dividend. Multiply both by 100 to get rid of the decimal part in the divisor.
A student was asked to rewrite using only the associative property of multiplication. Which is the correct response?
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Given that the associative property of multiplication says that you can group the numbers in any combination, we can reorganize the expression as: 7·(10·3)=210. So the answer would be the first option.
On a graph the point is (2,2) is it enough information to plot if yes what's the equation of it if not say no
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To plot a point on a graph, you need the x and y coordinates.
In this case, the x-coordinate is 2 and the y-coordinate is 2 thus you can plot
(2,2) on a graph.
To get the equation of a line, you need the slope m of the line, a point and another imaginary point (x,y). So in this question you still need the slope to find the equation.
The equation is : No
Answer
1. The point can be plotted on a graph
2. No, the equation can not be determined because the gradient is not known.
4. What is the average rate of change of the function over5. Write an exponential function of the form y=abto represent the table below.(1,2),(2,8),(3,32),(4,128) with
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PROBLEM
Function
Table
[tex]\begin{gathered} \text{Rate of change = }\frac{y_{2\text{ }}-y_1}{x_2-x_1} \\ \end{gathered}[/tex]
y =
What type of triangle is given? (Note: The red hash marks denote the congruent sides. The small square represents a right angle.)a.) Acute Equilateral Triangleb.) Right Isosceles Trianglec.) Obtuse Scalene Triangle
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An Isosceles Right Triangle is a right triangle that consist of two equal length legs.
Thus, in an isosceles right triangle, two legs and two acute angles are congruent.
Since it is a right triangle, the angle between the two legs would be 90 degrees, and the legs would be perpendicular to each other.
with these said above, the diagram is a Right Isosceles Triamgle.
therefore, option B is the correct answer.
13. A florist uses 56 roses to make 4 identicalfloral arrangements. At this rate, how manyroses would the Florist use to create 36identical arrangements?Record your answer. Be sure to use thecorrect place value.0000.00+/-
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Answer:
504 roses
Explanation:
[tex]\begin{gathered} 4\text{ identical arrangement are made using 56 roses} \\ 1\text{ identical arrangement is made using }\frac{\text{56}}{4}=14\text{ roses} \\ \text{Therefore:} \\ 36\text{ identical arrangement are made using 36}\times14=504\text{ roses} \end{gathered}[/tex]Ali Ben and Carla made a total of 20 sandwiches ben made three times as many ali and Carla made twice as many as Ben how many sandwiches did Ali make?
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We know that
• They made 20 sandwiches in total.
,• Ben made three times as many as Ali made.
,• Carla made twice as many as Ben.
Let's call Ben, Ali, and Carla B, A, and C.
The first statement would be expressed as
[tex]A+B+C=20[/tex]The second statement would be
[tex]B=3A[/tex]The third statement would be
[tex]C=2B[/tex]We have to find an equation with variable A only. Let's replace the second equation in the first one.
[tex]A+3A+C=20[/tex]Then, we replace the second equation with the third one.
[tex]C=2(3A)=6A[/tex]This last expression we include in the total sum to express it as A.
[tex]A+3A+6A=20[/tex]Then, we solve for A.
[tex]\begin{gathered} 10A=20 \\ A=\frac{20}{10} \\ A=2 \end{gathered}[/tex]Therefore, Ali made 2 sandwiches.Can you please help us with this problem. Thanks for all your help.
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The length (L) and breadth (B) of the rectangle is given as,
[tex]\begin{gathered} L=5.4\times10^5 \\ B=275000 \end{gathered}[/tex]The perimeter (P) of a rectangle is given by,
[tex]P=2(L+B)[/tex]Substitute the values,
[tex]P=2\mleft\lbrace(5.4\times10^5)+275000\mright\rbrace[/tex]Simplify the expression,
[tex]\begin{gathered} P=2\lbrace(5.4\times10^5)+(2.75\times10^5)\rbrace \\ P=2\lbrace(5.4+2.75)\times10^5\rbrace \\ P=2\lbrace(8.15)\times10^5\rbrace \\ P=16.3\times10^5 \\ P=1.63\times10^6 \end{gathered}[/tex]Thus, the perimeter of the given triangle is obtained as,
[tex]1.63\times10^6\text{ meters}[/tex]This question makes no sense to me at all.Take a look and maybe you could help
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Taking two of the exact points:
[tex]\begin{gathered} (x1,y1)=(2,50) \\ (x2,y2)=(6,80) \\ m=\frac{y2-y1}{x2-x1}=\frac{80-50}{6-2}=\frac{30}{4}=7.5 \\ \end{gathered}[/tex]From the graph we can also conclude that the y-intercept could be 45, therefore the function which best models that data is:
[tex]y=6.52x+45[/tex]How many 3/4 cup servings can be made if there is 7/8 of a cup of broccoli in a bowl
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They can be made the following number of 3/4 cup servings:
[tex]\frac{7}{8}(\frac{3}{4})=\frac{21}{32}\approx0.7[/tex]So, they can make approximately 0.7 servings
If the probability of an event A occurring is 0.629, what is the complement of A?
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Answer:
[tex]P(A^{\prime})\text{ = 0.371}[/tex]
Explanation:
Here, we want to find the complement of A
To find this, we know that the sum of the probability of an event and its complement is 1
Thus, mathematically, we have it that:
[tex]P(A)\text{ + P(A') = 1}[/tex]We have this as:
[tex]\begin{gathered} P(A^{\prime})\text{ = 1-P(A)} \\ P(A^{\prime})\text{ = 1-0.629} \\ P(A^{\prime})\text{ = 0.371} \end{gathered}[/tex]A backpack is on sale for 25% off after the discount is taken a 7% sales tax is apply if original price of the backpack is P which equation represents the final cost C in dollars of the backpack
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c = p(0.75)(1.07)
Explanation:The original price of the backpack = p
Discount = 25%
Percentage paid = 100% - 25% = 75%
Discounted price = 75% of p
Discounted price = 75/100 x p
Discounted price = 0.75p
Sales tax = 7% of 0.75p
Final cost = 107% of 0.75p
Final cost = (107/100) x 0.75p
Final cost = (1.07)(0.75)(p)
c = p(0.75)(1.07)
Need help solving these problems, work being shown is needed also
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Let's start by solving for side y using trigonometric ratios, specifically cosine.
[tex]cos(30)=\frac{y}{8}[/tex]We can solve for y by multiplying 8 to both sides of the equation.
[tex]y=6.9282[/tex]Let's solve for side x using trigonometric ratios, and this time we'll be using sine.
[tex]sin(30)=\frac{x}{8}[/tex]Multiply both sides of the equation by 8.
[tex]x=4[/tex]We have solved for the missing variables x and y:
x = 4 and y = 6.9
Helen carns $14.75 per hour as a babysitter. She recolvos timo-and-a-half pay for any hours sho works over 40 in a wook. What are hor wages in a wook in which showоrkеd 60 hours?$798.05$811.30$821,70$832.65None of those choices are correct
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Given data:
The given earning per hour is E=$14.75.
The expression for the money for 50 hours is,
[tex]undefined[/tex]
i need help with algebra
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To graph the line:
[tex]y=-5-\frac{1}{3}x[/tex]we need to points. To find it we need to give values to x and then we find y.
If x=0 then y=-5 and we have the point (0,-5).
If x=-3 then y=-4 and we have the point (-3,-4).
Now we plot this points on the plane:
Finally we join them whit a line:
The table gives the temperature (in F) in five cities at 6 a.m. on the same day. Use the table to answer the questions CityTemperature(F)Buffalo-6Dayton48Atlanta64Winnipeg -16Juneau-26(a)How much higher was the 6a.m. temperature in Dayton than in Buffalo?(b)By noon, the temperature in Juneau had risen by 13F .What was the temperature there at noon?
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Solution
Question A:
- The Buffalo temperature was -6° F and the temperature at Dayton was 48° F.
- Thus, we can find how much more the temperature in Dayton is compared to the temperature at Buffalo by subtracting both temperatures. That is,
[tex]\begin{gathered} \text{ Temperature in Dayton - Temperature in Buffalo} \\ 48°F-(-6°F)=48°F+6°F=54°F \end{gathered}[/tex]- The temperature at Dayton is 54° F higher than the temperature in Buffalo.
Question B:
- The noon temperature in Juneau has increased by 13℉ by noon. This implies that we should add this increase in temperature to the initial temperature in Juneau when it was 6 am.
- This is done below:
[tex]\begin{gathered} \text{ Juneau temperature by noon is} \\ -26℉+13℉=-13℉ \end{gathered}[/tex]- The temperature in Juneau at noon is -13℉
Final Answer
- The temperature at Dayton is 54° F higher than the temperature in Buffalo.
- The temperature in Juneau at noon is -13℉