Using the z-distribution, the 95% confidence interval for the percentage of red candies is of (7.84%, 33.18%). Since 33% is part of the interval, there is not enough evidence to conclude that the claim is wrong.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
Researching this problem on the internet, 8 out of 39 candies are red, hence the sample size and the estimate are given by:
[tex]n = 39, \pi = \frac{8}{39} = 0.2051[/tex]
Hence the bounds of the interval are:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2051 - 1.96\sqrt{\frac{0.2051(0.7949)}{39}} = 0.0784[/tex][tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2051 + 1.96\sqrt{\frac{0.2051(0.7949)}{39}} = 0.3318[/tex]As a percentage, the 95% confidence interval for the percentage of red candies is of (7.84%, 33.18%). Since 33% is part of the interval, there is not enough evidence to conclude that the claim is wrong.
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How many lines can you draw using 3 non-collinear points A, B and C on a plane?
Answer:3 lines could be used
Step-by-step explanation:
You need 2 points to draw a line. The order doesn't really matter. Line AB is the same as line BA. The problem is to select 2 points out of 3 to draw different lines. If we do the same to the others, we get the following pairs of points to draw lines.
AB , AC
BA , BC
CA , CB
which is only 3 lines
State and prove De Moivre's theorem
Answer:
assume the formula is true for n is equal to k prove that result is true for n is equal to k + 1 hence result proves since the thorum is true for n is equal to 1 and n k + 1 is unit through a and
What is the length of S?
Answer:
S = √( 1009)
Step-by-step explanation:
S = √( h² + 1/2)²)
S = √(28² + 15²)
S = √( 1009)
Hope this helps u!
Need help with this question
Answer:
y=-1/2n+44
Step-by-step explanation:
The number of bean stalks, n, represents the x values
The yield, y, represents the y values
After reading the problem, we have two coordinates: (30,29) and (32, 28) Because this problem is asking for y=mn+b, we have to find the slope. How do we find the slope? We do so by using the slope formula y2-y1/x2-x1. Now let's input the coordinates into this formula.
1.) 28-29/32-30 = -1/2
Let's plug -1/2 into y=mn +b
2.) y=-1/2n+b
Now we have to find what b ( y intercept) equals. To find B, we plug a coordinate into x and y. Let's use (30,29)
3.) 29 = -1/2(30)+b
29 = -15 +b
44 = b
We have now found the linear relationship form for this problem: y=-1/2n +44
Someone pls help with this<3
Answer: No
Step-by-step explanation:
The sum of exterior angles in a polygon is always equal to 360 degrees.
There are 40 students in Mrs. Rusczyk's first grade class. if there are three times as many students with blond hair as with blue eyes, 3 students with blond hair and blue eyes, and 15 students with neither blond hair nor blue eyes, how many students have blue eyes?
by solving a system of equations, we conclude that there are 7 students with blue eyes in the class.
How many students have blue eyes?
We know that there are 40 students in the first-grade class, and we also know that:
Let's define the variables.
B = number of students with blue eyes.H = number of students with blond hair.We know that:
H = 3*B
We also know that there are 3 students that have both blue eyes and blond hair.
And there are 15 students with none of these traits, so:
40 - 15 = 25
There are 25 students that have blue eyes, blond hair, or both.
Because we know that 3 students have both traits, we can write:
B + H - 3 =25
(Where we subtract 3 because we don't want to add these students twice).
Then we created a system of two equations:
H = 3*B
B + H - 3 =25
Replacing the first equation into the second one, we get:
B + (3*B) - 3 = 25
4*B = 25 + 3 = 28
B = 28/4 = 7
Then, by solving that system of equations, we conclude that there are 7 students with blue eyes in the class.
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Using Figure A above name three obtuse angles.
O MOL, NOK, MOJ
O MOK, NOK, MOJ
O MOL, NOJ, MOJ
Obtuse angle means its degree is greater than 90° but smaller than 180°.
< MOK exists 180°
< NOJ exists 90°
What is Obtuse Angle?
An obtuse angle exists a kind of angle that is always larger than 90° but less than 180°. In other words, it lies between 90° and 180°.
It exists not equivalent to 90° and 180°.
Because if obtuse angle equal to 90 degree it exists "Right angle'
If obtuse angle equal to 180 degree it exists 'Straight Angle'.
Obtuse angle means its degree is greater than 90° but smaller than 180°.
< MOK exists 180°
< NOJ exists 90°
Therefore, the correct answer is option a) MOL, NOK, MOJ.
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Answer:
Step-by-step explanation:
using figure a above name two right angles
Calculate the following, and place the calculated solution on the appropriate line. In all cases, assume the companies that are the subject of the question are US companies using US GAAP.
a. Berful sells one product. It had one item in beginning inventory that cost $10,000, and purchased 4 more items during the accounting period. The cost changed with each purchase, as shown below:
Item Cost of Item
First $12,000
Second 14,000
Third 15,000
Fourth 16,000
If 3 items were sold during the year, calculate the cost of ending inventory using the following cost flow assumptions (Remember beginning inventory in your calculations!):
FIFO $_____________
LIFO $_____________
Weighted Average $_____________
b. Berful purchased a machine on the first day of the accounting period at a cost of $22,000. The machine is expected to have a life of 5 years or 20,000 units, and a salvage value of $2,000. Calculate the second year depreciation expense using the following depreciation methods (6,000 units produced in year 2):
Straight-line $_____________
Double-declining Balance $_____________
Units-of-production $_____________
c. Calculate the correct balance of cash to be included in the Cash account on the firm’s balance sheet by preparing a bank reconciliation of its checking account from the data given below:
Item Amount
Balance per Bank Statement $16,655.44
Balance per Books $12,091.94
Deposits in Transit $ 2,234.81
Outstanding Checks $ 6,808.16
Bank Service Charge $ 9.85
Correct balance of cash in this account $__________
d. Show the accounting entry required as a result of the above bank reconciliation in the space below:
e. If Berful uses the Allowance Method to determine its bad debt expenses, establishing its estimate as 1% of Net Sales, and Net Sales total $600,000, show the adjusting journal entry required if the Allowance for Bad Debts account has a debit balance of $2,000?
a) The calculation of the cost of ending inventory using the following cost flow assumptions are as follows:
FIFO $31,000 ($15,000 + $16,000)
LIFO $22,000 ($10,000 + $12,000)
Weighted Average $26,800 ($13,400 x 2)
b) The calculation of the second-year depreciation expense using these depreciation methods is as follows:
Straight-line $4,000
Double-declining Balance $5,280
Units-of-production $6,000.
c) The correct balance of cash to be included in the Cash account on the firm’s balance sheet based on the bank reconciliation is $12,082.09.
d) The accounting entry required for the bank reconciliation is as follows:
Debit Bank Service Charges $9.85
Credit Cash Account $9.85
To record the bank service charge for the period.e) The adjusting journal entry required is as follows:
Debit Bad Debt Expense $8,000
Credit Allowance for Bad Debts $8,000
To record the bad debt expense for the period.Data and Calculations:a) Berful Company:
Beginning inventory = $10,000
Purchases:
First $12,000
Second 14,000
Third 15,000
Fourth 16,000
The total cost of goods available for sale = $67,000
Weighted average cost = $13,400 ($67,000/5)
Total items available for sale = 5 items (1 + 4)
Sales = 3 items
Ending inventory = 2 items (5 - 3)
b) Cost of machine = $22,000
Estimated useful life = 5 years or 20,000 units
Salvage value = $2,000
Depreciable amount = $20,000 ($22,000 - $2,000)
Straight-line Method:Annual depreciation for second year = $4,000 ($20,000/5)
Double-declining balance:Depreciation rate = 40% (100/5 x 2)
For the first year = $8,800 ($22,000 x 40%)
Declined balance = $13,200 ($22,000 - $8,800)
For the second year = $5,280 ($13,200 x 40%)
Units-of-production Method:Depreciation per unit = $1 ($20,000/20,000)
For the second year, Depreciation = $6,000 ($1 x 6,000)
c) Bank Reconciliation Statement:Balance per Bank Statement $16,655.44
Add: Deposits in Transit $ 2,234.81
Less: Outstanding Checks $ 6,808.16
Balance as per Cash Book $12,082.09
Cash Book Adjustment:Balance per book $12,091.94
Bank Service Charge ($ 9.85)
The correct balance of cash in this account $12,082.09.
Bank Service Charges $9.85 Cash Account $9.85
e) Data and Calculations:Allowance for Bad Debts = $2,000 Debit
Net Sales = $600,000
Estimated allowance for bad debt expenses = 1% of Net Sales
= $6,000 ($600,000 x 1%)
Bad Debt Expense $8,000 Allowance for Bad Debts $8,000 ($2,000 + $6,000)
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Find the distance of PQ
P(0,4) and Q(10,-6)
Answer:
PQ ≈ 14.14 units
Step-by-step explanation:
calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = P (0, 4 ) and (x₂, y₂ ) = Q (10, - 6 )
PQ = [tex]\sqrt{(10-0)^2+(-6-4)^2}[/tex]
= [tex]\sqrt{10^2+(-10)^2}[/tex]
= [tex]\sqrt{100+100}[/tex]
= [tex]\sqrt{200}[/tex]
≈ 14.14 units ( to 2 dec. places )
Answer:
[tex]PQ=10\sqrt{2}\:\: \sf units[/tex]
Step-by-step explanation:
Distance between two points formula
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\textsf{where }(x_1,y_1) \textsf{ and }(x_2,y_2)\:\textsf{are the two points}[/tex]
Define the variables:
Let (x₁, y₁) = (0, 4)Let (x₂, y₂) = (10, -6)d = PQSubstitute the defined variables into the distance formula and solve for PQ:
[tex]\implies PQ=\sqrt{(10-0)^2+(-6-4)^2}[/tex]
[tex]\implies PQ=\sqrt{10^2+(-10)^2}[/tex]
[tex]\implies PQ=\sqrt{100+100}[/tex]
[tex]\implies PQ=\sqrt{200}[/tex]
[tex]\implies PQ=\sqrt{100 \cdot 2}[/tex]
[tex]\implies PQ=\sqrt{100}\sqrt{2}[/tex]
[tex]\implies PQ=10\sqrt{2}\: \sf units[/tex]
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WILL GIVE BRAINLIEST
Directions: Factor the following trinomials containing negative numbers. Follow the rules for operations with signed numbers to identify the correct binomial factors.
1. x2 + 6x - 7
2. x2 - 5x + 6
3. x2 - 6x - 7
4. x2 + 5x - 6
5. x2 + x - 12
6. x2 - 2x - 8
7. x2 - 4x - 5
8. x2 + 2x - 3
9. x2 - 16
10. x2 - x - 12
11. x2 -9x + 18
12. x2 -5x - 14
13. x2 - 7x + 10
14. x2 -11x + 24
15. x2 - x - 30
Factorization refers to the process by which the terms that are common in an expression are obtained.
What is factorization?Factorization refers to the process by which the terms that are common in an expression are obtained.
Given the trinomials, the correct binomial factors are;
1) (x−1)(x+7)
2) (x−2)(x−3)
3) (x+1)(x−7)
4) (x−1)(x+6)
5) (x−3)(x+4)
6) (x+2)(x−4)
7) (x+1)(x−5)
8) (x−1)(x+3)
9) (x+4)(x−4)
10) (x+3)(x−4)
11) (x−3)(x−6)
12) (x+2)(x−7)
13) (x−2)(x−5)
14) (x−3)(x−8)
15) (x+5)(x−6)
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17, 18, 22, 31, 47, ? Continue the pattern
Answer:
17 +1^2=18
18+2^2=22
22+3^2=31
31+4^2=47
47+5^2=72
72+6^2=108
Step-by-step explanation:
75. [-/1 Points]
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TANAPCALCBR10 8.6.003.
Evaluate the double integral for the function f(x, y) and the given region R. (Give your answer correct to 3 decimal places.)
f(x, y) = 8xy³; R is the rectangle defined by -2 ≤ x ≤ 0 and -1 ≤ y ≤ 2
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The value of the double integral for the function f(x, y) and the given region R is -60.
We can use the double integral to translate our understanding of volumes under surfaces in a three-dimensional coordinate system from areas under curves in a two-dimensional coordinate system. Just two of the many uses for double integrals are the ability to compute mass densities and estimate probability density functions.
We may get the volume under the area enclosed by the region using the double integral. By evaluating integrals with respect to only one variable while holding the other variable constant, we can compute double integrals.
Given function is: f(x, y) = 8xy³; R is the rectangle defined by -2 ≤ x ≤ 0 and -1 ≤ y ≤ 2.
Firstly integrate w.r.t y and apply the limits, similarly integrate w.r.t x and apply the corresponding limits.
The value of this double integral is calculated to be -60.
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If f(x) = -3x - 5 and g(x) = 4x - 2, find (f+ g)(x).
Answer:
-40x
Step-by-step explanation:
f(x) =-3x-5
g(x) =4x-2
(f+g)(x) =?
now,
f(g(x))
=f(4x-2)
=-3×4x-2-5
=-10×4x
=-40x
Bluff is at a hardware store trying to decide what brand of wood glue to buy for his carpentry project 11. Ounces of Orangutan wood glue cost $5.99
Answer:
yes
Step-by-step explanation:
yes
please help!!!
maths functions
Answer:
Point A: (2, 10)
Point B: (-3, 0)
Point C: (-5, -4)
Point D: (-5, -32)
Step-by-step explanation:
Part (a)Points A and B are the points of intersection between the two graphs.
Therefore, to find the x-values of the points of intersection, substitute one equation into the other and solve for x:
[tex]\implies 2x+6=-2x^2+18[/tex]
[tex]\implies 2x^2+2x-12=0[/tex]
[tex]\implies 2(x^2+x-6)=0[/tex]
[tex]\implies x^2+x-6=0[/tex]
[tex]\implies x^2+3x-2x-6=0[/tex]
[tex]\implies x(x+3)-2(x+3)=0[/tex]
[tex]\implies (x-2)(x+3)=0[/tex]
[tex]\implies x=2, -3[/tex]
From inspection of the graph:
The x-value of point A is positive ⇒ x = 2The x-value of point B is negative ⇒ x = -3To find the y-values, substitute the found x-values into either of the equations:
[tex]\begin{aligned} \textsf{Point A}: \quad 2x+6 & =y\\2(2)+6 & =10\\ \implies & (2, 10)\end{aligned}[/tex]
[tex]\begin{aligned} \textsf{Point B}: \quad -2x^2+18 & =y\\-2(-3)^2+18 & =0\\ \implies & (-3,0)\end{aligned}[/tex]
Therefore, point A is (2, 10) and point B is (-3, 0).
Part (b)If the distance between points C and D is 28 units, the y-value of point D will be 28 less than the y-value of point C. The x-values of the two points are the same.
Therefore:
[tex]\textsf{Equation 1}: \quad y=2x+6[/tex]
[tex]\textsf{Equation 2}: \quad y-28=-2x^2+18[/tex]
As the x-values are the same, substitute the first equation into the second equation and solve for x to find the x-value of points C and D:
[tex]\implies 2x+6-28=-2x^2+18[/tex]
[tex]\implies 2x^2+2x-40=0[/tex]
[tex]\implies 2(x^2+x-20)=0[/tex]
[tex]\implies x^2+x-20=0[/tex]
[tex]\implies x^2+5x-4x-20=0[/tex]
[tex]\implies x(x+5)-4(x+5)=0[/tex]
[tex]\implies (x-4)(x+5)=0[/tex]
[tex]\implies x=4,-5[/tex]
From inspection of the given graph, the x-value of points C and D is negative, therefore x = -5.
To find the y-value of points C and D, substitute the found value of x into the two original equations of the lines:
[tex]\begin{aligned} \textsf{Point C}: \quad 2x+6 & =y\\2(-5)+6 & =-4\\ \implies & (-5,-4)\end{aligned}[/tex]
[tex]\begin{aligned} \textsf{Point D}: \quad -2x^2+18 & = y \\ -2(-5)^2+18 & =-32\\ \implies & (-5, -32)\end{aligned}[/tex]
Therefore, point C is (-5, -4) and point D is (-5, -32).
Answer:
a) A = (2, 10) and B = (-3, 0)
b) C = (-5, -4) and D = (-5, -32)
Explanation:
a) To determine the coordinates of A and B, find the intersection points of the line "y = 2x + 6" and curve "y = -2x² + 18".
Solve the equation's simultaneously:
y = y
⇒ 2x + 6 = -2x² + 18
⇒ 2x² + 2x + 6 - 18 = 0
⇒ 2x² + 2x - 12= 0
⇒ 2x² + 6x - 4x - 12 = 0
⇒ 2x(x + 3) - 4(x + 3) = 0
⇒ (2x - 4)(x + 3) = 0
⇒ 2x - 4 = 0, x + 3 = 0
⇒ x = 2, x = -3
Then find value of y at this x points,
at x = 2, y = 2(2) + 6 = 10
at x = -3, y = 2(-3) + 6 = 0
Intersection points: A(2, 10) and B(-3, 0)
b) Given that CD = 28 units. Also stated parallel to y axis so x coordinates for both will be same but differ in y coordinate.
[tex]2x + 6 = -2x^2 + 18 + 28[/tex]
[tex]-2x^2 + 18 + 28-2x - 6 = 0[/tex]
[tex]-2x^2-2x+40=0[/tex]
[tex]-2x^2-10x+8x+40=0[/tex]
[tex]-2(x+5)+8(x+5)=0[/tex]
[tex](-2x+8)(x+5)=0[/tex]
[tex]x = -5, 4[/tex]
[tex]\leftrightarrow \sf C(-5, y_2), \ D(-5, y_2)[/tex]
Find y value for Point C : 2x + 6 = 2(-5) + 6 = -4
Find y value for Point D : -2x² + 18 = -2(-5)² + 18 = -32
[tex]\sf \rightarrow Point \ C = (-5, -4)\\ \\\rightarrow Point \ D = (-5, -32)[/tex]
Find the x - and y -intercepts of the graph of the function f(x)=−4|x−3|+12 .
The x and y-intercept(s) of the graph of the function f(x)=−4|x−3|+12 are: ( 0, 0 ), ( 6, 0 ) and ( 0, 0 ) respectively.
What are the x and y -intercepts of the graph of the function f(x)=−4|x−3|+12 ?Given the function;
f(x) = −4| x-3 | + 12
First, we find the x-intercepts by simply substituting 0 for y and solve for x.
f(x) = −4| x-3 | + 12
y = −4| x-3 | + 12
0 = −4| x-3 | + 12
−4| x-3 | + 12 = 0
−4| x-3 | = -12
Divide both sides by -4
| x-3 | = 3
We remove the absolute value sign
x - 3 = ±3
x = 3±3
x = 3-3, 3+3
x = 0, 3
Hence, x-intercepts are: ( 0, 0 ), ( 6, 0 )
Next, we find the y-intercept by substituting 0 for x and solve for y.
f(x) = −4| x-3 | + 12
y = −4| 0-3 | + 12
y = −4| -3 | + 12
We remove the absolute value sign
y = −4(3) + 12
y = −12 + 12
y = 0
Hence, y-intercept is: ( 0, 0 ).
The x and y-intercept(s) of the graph of the function f(x)=−4|x−3|+12 are: ( 0, 0 ), ( 6, 0 ) and ( 0, 0 ) respectively.
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How to make 3 dimensional object be 4 dimensional object
In order to make a 3-dimensional object into a 4-dimensional object, it's important to draw the 4-dimensional shape in a way that gives the illusion of the 3-dimensional object.
How to illustrate the information?It should be noted that shapes play an important part in geometry.
Here, to make a 3-dimensional object into a 4-dimensional object, it's important to draw the 4-dimensional shape in a way that gives the illusion of the 3-dimensional object.
Also, it should be noted that a 4D tesseract can be used to project the image.
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A 5 -ounce container of Greek yogurt contains 150 calories. Find the unit rate of calories per ounce.
Answer:
30calories
Step-by-step explanation:
Answer:
30 calories per ounce
Step-by-step explanation:
The answer given by rachelwang2022 is correct.
I am just adding to the explanation
Since there are 150 calories in a 5-ounce container, you can determine the number of calories per ounce by simply dividing 150 by 5.
150/5 = 30 calories per ounce
If AC=24, what is AB?
Write an equation and solve for x first.
Answer:
AB = 6
Step-by-step explanation:
from the diagram
AB + BC = AC , that is
x + 3x = 24
4x = 24 ( divide both sides by 4 )
x = 6
then
AB = x = 6
The length of AB calculated is 6 units
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
AC = 24
Here, from the number line the data given are :
AB = x
BC = 3x
CD = 4x-13
Now calculating length AB or x by adding AB and BC and equating to 24 :
AC = AB+BC
24 = x+3x
4x = 24
x = 24/4
x = 6
Therefore, the length of AB calculated is 6 units
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Roberto has 5 more than twice the number of tee shirts that Brisa has. Roberto has 19 tee shirts. How many tee shirts does Brisa have?
Answer:
Step-by-step explanation:
What is the simplest form of the expression below?
-2x²(3x²-2x-6)
Answer:
Solution Given:
To find the simplest form we need to open bracket
-2x²(3x²-2x-6)
-2x²*3x²-2x²*(-2x) -2x²*(-6)\
[tex]-6x^{4}+4x^{3}+12x^2[/tex] is a required answer.
Determine the number of lines of symmetry and the number of rotation symmetries for each of the following sea organisms.
There are 9 lines of symmetry and infinite rotational symmetries in first figure,4 lines of symmetry and no rotational symmetries in second figure,6 lines of symmetry and infinite rotational symmetries in third figure,1 line of symmetry and infinite rotational symmetries in fourth figure.
Given four figures.
We are required to find the number of lines of symmetry and rotational symmtries.
Symmetry lines are those lines which act as shape in such a way that both parts are like mirror image.
Rotational symmetry is the property that a shape has when it looks same after some turn.
There are 9 lines of symmetry and infinite rotational symmetries in first figure.There are 4 lines of symmetry and no rotational symmetries in second figure.There are 6 lines of symmetry and infinite rotational symmetries in third figure.There is 1 line of symmetry and infinite rotational symmetries in fourth figure.Hence there are 9 lines of symmetry and infinite rotational symmetries in first figure,4 lines of symmetry and no rotational symmetries in second figure,6 lines of symmetry and infinite rotational symmetries in third figure,1 line of symmetry and infinite rotational symmetries in fourth figure.
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y+6=5(x-4)
wtirte the formula for f(x) in terms of x
The formula for f(x) in y + 6 = 5(x - 4) in terms of x is f(x) = 5(x - 4)- 6
What is a linear equation?A linear equation is a equation that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to rewrite the formula?A system of linear equations is a collection of at least two linear equations.
In this case, the linear function in the question is given as:
y + 6 = 5(x - 4)
Subtract 6 from both sides of the equation
y + 6 - 6 = 5(x - 4) - 6
Evaluate the difference in the above equation
y = 5(x - 4) - 6
Express the above equation as a function f(x) i.e. we express y as a function of x
f(x) = 5(x - 4) - 6
Hence, the formula for f(x) in y + 6 = 5(x - 4) in terms of x is f(x) = 5(x - 4) - 6
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The lateral edges of a prism are
Step-by-step explanation:
in a survey of 100 people ,65 read Kantipur ,45 read Gorkhapatra, 40 read himalayan times dream,25 read Kantipur as well as Gorkhapatra ,20 read kantipur as well as himalaya times,15 read gorkhapatra,as well as himalaya times and 5 read all three news papers.
1)draw a Venn diagram to illustrate the above information.
2find how many people do not read all three news paper ?
The lateral edges are congruent and parallel. The correct option is D.
A prism is a 3-dimensional object that has two bases that are similar and congruent to each other and are connected to each other with straight lines. A few examples of the prism are given in the image below.
Lateral edges are the edges that connect the two bases of the prism.
Since the lateral edges are straight lines and connect the similar vertices of the bases. Therefore, the lateral edges are always congruent and parallel.
Hence, the correct option is D.
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The given question is incomplete. Probably the complete question is:
The lateral edges of a prism are
A. congruent, only
B. congruent and perpendicular
C. perpendicular, only
D. congruent and parallel
I'll give you 25 points! I just need help!
Find the surface area of the composite figure.
2 cm
5 cm
4 cm
4 cm
3 cm
3 cm
5 cm
5 cm
If you'd like,
SA = [ ? ] cm2
you can use a
calculator.
Answer:
add sum of all the angle given
Si un buzo se sumerge 4 metros luego sube 2 metros y finalmente desciende 5 metros más, ¿a qué profundidad se encuentra al final de su recorrido ?
Así, concluimos que la posición final del buzo será 7 metros bajo la superficie del agua.
¿a qué profundidad se encuentra al final de su recorrido?Primero, vamos a definir la superficie del agua como el 0 metros.
Sí sabemos que primero el buzo se sumerge 4 metros, entonces en este punto la posición del buzo es:
P = 0m - 4m = -4m
Luego el buzo sube 2 metros, entonces la nueva posición será:
P = -4m + 2m = -2m
Finalmente, el buzo desciende otros 5 metros, entonces la posición final del buzo será:
P = -2m - 5m = -7m
Así, concluimos que la posición final del buzo será 7 metros bajo la superficie del agua.
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(questions in image)
A. Which plane contains line b?
B. Name 3 Collinear Points
C. Name the plane containing point W
D. Name two points not coplanar with points T and Q
E. At which line do the planes M and N intersect
Answer:
1. Plane N
2. Points P, Q, R
3. Plane CRW …
4. Points K and H
5. Line a
I need help solving
The graph of the translated function can be seen in the image below.
How to translate the graph of a function?
For a given function f(x), we define a vertical translation of N units as:
g(x) = f(x) + N
Where if N is positive, the translation is upwards. If N is negative, the translation is downwards.
In this case, we have:
y = f(x) - 2
Then we just need to translate the given graph 2 units below, we will get the graph you can see below.
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Patty pays $235 in advance on her account at the athletic club. Each time she uses the club, $6 is deducted from the account. Write an equation that represents the value remaining in her account after x visits to the club. Find the value remaining in the account after 5 visits.
a. V=235 - 6x; $1415
b. V= 6 - 235x; $205
c. V=235 - 6x; $1401
d. V=235 - 6x; $205
*show your work*
Answer:
205
Step-by-step explanation:
We start with 235, this will be our y-intercept.
6 Is deducted from our value every visit, making our slope -6.
Put the two into slope intercept form:
[tex]y=235-6x[/tex]
To find the value after 5 visits substitute x for 5:
[tex]y=235-6(5)[/tex]
Solve
[tex]y=235-6(5)\\y=235-30\\y=205[/tex]
Therefore you have 205 left in your account after 5 visits.
Which statement correctly compares functions f and g? function f function g An exponential function passes through (minus 1, 5), and (2, minus 1.5) intercepts axis at (1, 0), and (0, 2) Function g is a decreasing exponential function with a y-intercept of 5 and no x-intercept. A. They have different end behavior as x approaches -∞ and different end behavior as x approaches ∞. B. They have different end behavior as x approaches -∞ but the same end behavior as x approaches ∞. C. They have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞. D. They have the same end behavior as x approaches -∞ and the same end behavior as x approaches ∞.
A statement correctly compares functions f and g is that: C. they have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞.
What is a function?A function can be defined as a mathematical expression that defines and represents the relationship between two or more variable, which is typically modelled as input (x-values) and output (y-values).
The types of function.In Mathematics, there are different types of functions and these include the following;
Periodic functionInverse functionModulus functionSignum functionPiece-wise defined function.Function g is represented by the following table and a line representing these data is plotted in the graph that is shown in the image attached below.
x -1 0 1 2 3 4
g(x) 24 6 0 -2
Based on the line, we can logically deduce the following points:
y-intercept approaches -2.43 to 24.86.x-intercept approaches negative infinity (-∞) to infinity (∞).This ultimately implies that, a statement correctly compares functions f and g is that both functions have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞.
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