Instructions: Find the slope between the two points given. Then, use the slope and point ONE to write the
equation of the line in Point-Slope form. State the slope
Answers
Step-by-step explanation:
Find the slope between the two points given. Then, use the slope and point ONE to write the
equation of the
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What is the likelihood of Jada investing with Bank JNC if the following holds under the following conditions?
..
there is a 75% chance Jada will invest if the economic conditions remain stable;
there is a 25% chance investing if economic conditions suffer a decline;
there is a 55% chance of investing if the economic conditions improve.
the chance the economic conditions remaining stable (S), declining (D) and improving (1) are 0.20, 0.40
and 0.40, respectively.
Select one:
O.a. 0.135
O b. 0.103
OC. 0.400
O d. 0.470
Answers
Answer:
a
Step-by-step explanation:
Find cos B, sinB,tanb
Answers
Using right triangle relations, we will get:
tan(B) = 1.05sin(B) = 0.735cos(B) = 0.7How to find the value of the trigonometric equations?
We assume that bot triangles are equivalent, then the angle B will be the same as the angle Z.
Now remember the relations:
tan(θ) = (opposite cathetus)/(adjacent cathetus).sin(θ) = (opposite cathetus)/(hypotenuse)cos(θ) = (adjacent cathetus)/(hypotenuse).If we step on angle B, we have:
opposite cathetus = 29.4adjacent cathetus = 28hypotenuse = 40.6Replacing that, we get:
tan(B) = 29.4/28 = 1.05sin(B) = 29.4/40.6 = 0.735cos(B) = 28/40.6 = 0.7If you want to learn more about trigonometric functions:
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What is the lateral surface area of the cone?
A cone with diameter 18 centimeters, height of 12 centimeters, and slant height of 15 centimeters.
L A = pi r l
108 pi centimeters squared
135 pi centimeters squared
180 pi centimeters squared
270 pi centimeters squared
Answers
Answer:
135 pi centimeters squared
Step-by-step explanation:
Hello!
where la is lateral surface area
[tex]first \: the \: formula \: for \: the \: lateral \: surface \: are \: of \: cone \: is \\ la = \pi \times r \times l \\ where \: r = radius \\ l = slant \: height \\ therefore.first \: find \: the \: radius(r) = \frac{d}{2} \\ r = \frac{18cm}{2} = 9cm \\ so \: as \: we \: have \: the \: radius \: we \: can \: solve \: for \: the \: la \\ la = \pi \times r \times l \\ la = \pi \times (9cm) \times (15cm) \\ la = 135\pi \: cm {}^{2} [/tex]
Eric's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Eric $5.50 per pound, and type B coffee costs $4.40 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $762.30. How many pounds of type A coffee were used?
Answers
115.2 pounds of type A coffee were used.
What is the solution of the equation?A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.
Let the number of pounds of type A coffee be x and the number of pounds of Type B coffee be y.
According to the question, the equations are,
5.50x + 4.40y = 762.30
x = 4y
So, the solution of the equation is obtained as follows:
5.50(4y) + 4.40y = 762.30
26.40y = 762.30
y = 762.30/26.40
y = 28.8 pounds
x = 4*28.8 = 115.2 pounds
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a x = ±5
b. x = ±5i
C. x = ±3√√5
d. x = ±3√3
e. x = ±3i√√3
f. x= ±3i√√5
1. x^2+45=0
2. x^2=-25
3. x^2-25=0
4. x^2-45=0
5. x^2=27
6. x^2+27=0
Match the items
Answers
Answer:
1f, 2b, 3a, 4c, 5d, 6e
see image
Step-by-step explanation:
Solve the equations by getting x all by itself on one side. Then, square root to get rid of the exponent.
Any problem where you square root a negative will give you an i in the answer. This is because sqrt(-1) is i. Because i^2 = -1
Also, when you are simplifying square roots for your final answer, look for a perfect square number inside of the radical. Like Sqrt45 can be broken down to
Sqrt9•sqrt5
And because 9 is a perfect square, sqrt9 simplifies to just 3. See image.
2. B
3. A
4. C
5. D
6. E
Whenever you take the square root of a negative number, we create a complex number i
Karen wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 101 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 12.9 and a standard deviation of 3.2. What is the 80% confidence interval for the number of chocolate chips per cookie for Big Chip cookies? Enter your answers accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).
Answers
The 80% confidence interval for the number of chocolate chips per cookie for Big Chip cookies is (12.4,13.3).
Given that a sample of 101 cookies and per cookie in the sample has a mean of 12.9 and a standard deviation of 3.2.
From the given information,
Let n=101 represents the size of the sample.
Let [tex]\bar{x}[/tex]= 12.9 represents the mean of the sample.
Let s= 3.2 represents the standard deviation of the sample.
Degrees of freedom:
df = n-1
df= 101-1
df= 100
The critical value of t at 0.2 level of significance with 100 degrees of freedom is,
[tex]\begin{aligned}t_{cric}&=t_{(\frac{\alpha}{2}, n-1)}\\ &=t_{(0.2,100)}\\ &=1.2900\end[/tex]
The 80% confidence interval for the number of chocolate chips per cookie for Big chip cookies is computed as follows:
[tex]\begin{aligned}CI_{80\%}&=\bar{x}\pm t_{(\frac{\alpha}{2},n-1)}\left(\frac{s}{\sqrt{n}}\right)\\ &=12.9\pm 1.2900\left(\frac{3.2}{\sqrt{101}}\right)\\ &=12.9\pm 1.2900\times 0.3184\\ &=12.9\pm 0.410736\\ &=12.489264,13.310736\end[/tex]
Hence, the 80% confidence interval for the number of chocolate chips per cookie for Big Chip cookies when the mean is 12.9 and standard deviation is 3.2 is (12.4,13.3).
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A single card is drawn from each of two decks of 52 cards. What is the probability of getting a heart from the first deck and then a diamond on the second deck?
a)0.09%
b) 6.25%
c)13%
d)52%
Answers
A single card is drawn from each of two decks of 52 cards. The probability of getting a heart from the first deck and then a diamond on the second deck is 6.25%.
Probability means possibility.
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
There are 52 cards in a standard deck.
So, the total number of possible outcomes=52
We have to pick a single card from each of decks of 52 cards.
In a deck of 52 cards there are 13 heart cards and 13 diamond cards.
Therefore the probability of getting a heart from the first deck=13/52
And the probability of getting a diamond from the second deck=13/52
Hence the probability of getting a heart from the first deck and then a diamond on the second deck=(13/52)×(13/52)=6.25%
Thus, the probability of getting a heart from the first deck and then a diamond on the second deck is 6.25%.
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Answer:
6.25%
Step-by-step explanation:
I got it right on the test.
50 POINTS!!!!!!!!!!!!!!!!!!!!!!!! SOLVE THIS QUICKLY WITH AN EXPLANATION
Answers
Answer:
x = 30 degrees
Step-by-step explanation:
angles MNO, LNM, and KNL make a straight line: 105+45+y = 180 --> y = 30 degrees
KNL = 30 degrees
angle KLN is 90 degrees, a triangle is equal to 180 degrees
2x+30+90 = 180
2x = 60
x = 30 degrees
Joanne knitted a blanket that measures 174 cm by 230. Her sister asked joanne to make a matching one for her son. If joanne wants to make a similar blanket using a scale factor of 0.55, what will it,s dimensions be.
Answers
Answer:
95.7 cm by 126.5 cm
Step-by-step explanation:
To use the scale factor of 0.55, we multiply 174 and 230 by 0.55: 174*0.55 = 95.7, 230*0.55 = 126.5
does this represent two quantities that are proportional
Answers
Answer:
from looking at this we can see
1*4=4
2*4=8
3*4=12
6*4=24
a
Hope This Helps!!!
A perimeter of a movie screen is 56 meters. the area is 171 square meters what are the dimensions of the screen
Answers
Using the formula for the perimeter and area of rectangle, the dimensions are: Length = 19 m; width = 9 m.
What is the Perimeter and Area of a Rectangular Shape?Perimeter = 2(length + width)
Area = (length)(width).
Let x represent the length and y the width, therefore:
2(x + y) = 56 --> eqn. 1
xy = 171 --> eqn. 2
Rewrote eqn. 1
x + y = 56/2
x = 28 - y
Substitute x = (28 - y) into eqn. 2
171 = (28 - y)y
171 = 28y - y²
171 - 28y + y² = 0
y² - 28y + 171 = 0
Factorize
(y - 9)(y - 19)
y = 9 and y = 19
Therefore, the dimensions are: Length = 19 m; width = 9 m.
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What The What The???
Answers
Considering a geometric sequence, the pattern is given as follows:
1, 2, 4, 8, 16, 32, 64.
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
The first term and common ratio are given as follows:
[tex]a_1 = 1, q = 2[/tex].
Hence the remaining terms are:
[tex]a_4 = 2^{4-1} = 8[/tex][tex]a_5 = 2^{5-1} = 16[/tex][tex]a_7 = 2^{7-1} = 64[/tex]More can be learned about geometric sequences at https://brainly.com/question/11847927
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Luther High School's basketball coach won a record 33 out of 42 games how many games must the team win in the next 28 games for the coach to maintain to the ratio of wins to losses?
Answers
Using proportions, they must win 22 games to maintain to the ratio of wins to losses.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Considering the next 28 games, we have that:
The team will have won 33 + x games.The team will have played 42 + 28 = 70 games.To keep the same proportion, we have that:
[tex]\frac{33}{42} = \frac{33 + x}{70}[/tex]
Applying cross multiplication:
42(33 + x) = 33 x 70
Simplifying by 14:
3(33 + x) = 33 x 5
3x = 33 x 5 - 33 x 3
3x = 33 x 2
3x = 66
x = 66/3
x = 22.
They must win 22 games to maintain to the ratio of wins to losses.
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Total Assets
Sales
Task 3: Preparing a Cash Flow Statement
Nikea Inc.'s income statement for the year 2013 is shown below:
During the year, the balances for the sales account, cost of goods sold, and gross profit
increased. This information is provided to you. Prepare the cash flow for operating activities,
using both the direct method and the indirect method.
Accounts
Nikea's income statement for the year 2013 is shown below.
Cost of Goods Sold
Gross Profit
Operating Expenses
Deprecation
Styles
Net Income
934,000 Total Liability & Stockholders Equity
Type your response here:
Amount ($)
600,000
14
(400,000)
200,000
(30,000)
(20,000)
150,000
934,000
4
Editin
Answers
The preparation of the Cash Flow Statement for Nikea Inc. for the year ended December 31, 2013, is as follows:
Direct Method:
Nikea Inc.
Cash Flow StatementCash received from customers $600,000
Cash paid to suppliers of goods (400,000)
Cash paid to vendors of servides (30,000)
Cash from operating activities $170,000
Indirect Method:
Nikea Inc.
Cash Flow StatementFor the year ended December 31, 2013
Net income $150,000
Add non-cash expenses:
Depreciation 20,000
Cash from operating activities $170,000
What is the difference between the direct method and the indirect method of Cash Flow Statement?The direct method of preparing the Cash Flow Statement starts with the operating income and adds the non-cash expenses to obtain the cash flow from operating activities.
On the other hand, the indirect method reconciles the accounts receivable and payable to extract the exact cash flows received from customers or paid to suppliers of goods and services.
Both methods of determining the cash flow from operating activities yield the same result.
Data and Calculations:Nikea’s income statement for the year 2013
Sales $600,000
Cost of Goods Sold (400,000)
Gross Profit 200,000
Operating Expenses (30,000)
Deprecation (20,000)
Net Income 150,000
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jerome wants to bake two batches of muffins. He can bake two batches of chocolate chip (C), two batches pumpkin, or one batch of each.
Answers
The situation presented can be represented using the following letters CC, CP, PC, and PP.
How many combinations are possible in this situation?The possible combinations are:
Two batches of chocolate chip or CC.Two batches of pumpkin or PP.One batch of chocolate chip and another of pumpkin of CP.One batch of pumpkin and another of chocolate chip or PC.Based on this, the option that represents the situation is:
CC, CP, PC, and PP.
Note: This question is incomplete; here is the missing section:
What is the sample space of the event described above?
Answer choices:
a. CC, CP, PC, PP
b. CC, PP
c. CC, CP, PC
d. C, P
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Choose the correct product of (6x - 2)(6 x + 2).
Answers
The correct product of (6x - 2)(6 x + 2) is 36x^2 - 4
How to determine the product?The expression is given as:
(6x - 2)(6 x + 2).
The above expression is a difference of two squares.
And this is represented as
(a - b)(a + b)= a^2 - b^2
So, we have
(6x - 2)(6 x + 2) = (6x)^2 - 2^2
Evaluate
(6x - 2)(6 x + 2) = 36x^2 - 4
Hence, the correct product of (6x - 2)(6 x + 2) is 36x^2 - 4
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The double number line shows that Toni can type 180 words in 2 minutes.
A double number line with 6 equally spaced tick marks. The line labeled Time, minutes, reads from left to right: 0, an unlabeled tick mark, 2, three unlabeled tick marks. The line labeled Words, reads from left to right: 0, an unlabeled tick mark, 180, three unlabeled tick marks.
A double number line with 6 equally spaced tick marks. The line labeled Time, minutes, reads from left to right: 0, an unlabeled tick mark, 2, three unlabeled tick marks. The line labeled Words, reads from left to right: 0, an unlabeled tick mark, 180, three unlabeled tick marks.
Based on the ratio shown in the double number line, how many words can Toni type in 3 minutes?
_words
Answers
The number of words that Toni can type in 3 minutes is 270 words per minute.
How to work with ratios?We are given 180 words in 2 minutes. This means;
Toni can type 180/2 = 90 words per minute (90wpm).
Using the above same ratio/rate, it means that in 3 minutes, Toni would be able to type:
90 * 3 = 270 words per minute.
Thus, we conclude that the number of words that Toni can type in 3 minutes is 270 words per minute.
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Find the distance between points H(8, 2) and K(6, 10). Round your answer to the nearest tenth
Answers
Step-by-step explanation:
when you mark such points on a coordinate grid, and mark also the coordinate differences in x and y direction as soft lines, you notice that these coordinate difference lines and the direct connection between the 2 points create a right-angled triangle.
so, Pythagoras applies :
c² = a² + b²
with c being the Hypotenuse (the baseline opposite of the 90° angle, which is the direct connection between the 2 points). a and b are the legs (coordinate differences).
so,
distance² = (8 - 6)² + (2 - 10)² = 2² + (-8)² = 4 + 64 = 68
distance = sqrt(68) = 8.246211251... ≈ 8.2
If a cylinder has a height of 12 feet and a radius of 4 feet, what is its surface area (in square feet)? What is its volume (in cubic feet)? (Round your answers to two decimal places.)
Answers
The volume of the cylinder is 602.88 ft³.
The surface area of the cylinder is 301.44 ft²
How to find the volume and surface area of a cylinder?volume of a cylinder = πr²h
volume of a cylinder = 3.14 × 4² × 12
volume of a cylinder = 3.14 × 16 × 12
volume of a cylinder = 602.88 ft³
Surface are of a cylinder = 2πr(r + h)
Surface are of a cylinder = 2 × 3.14 × 4(4 + 8)
Surface are of a cylinder = 25.12(12)
Surface are of a cylinder = 301.44 ft²
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When the sum of a number and 3 is subtracted from 10 the result is 5 solve om algebraic equation?
Answers
Answer:
y = 2
Step-by-step explanation:
Algebraic Equation is an equation where alphabets are used to represent numbers.
Solving the above question,
Let the number = y
Therefore,
Sum of the number = y + 3
If it's subtracted from 10 it becomes
10 - ( y + 3 )
The result : 10 - y - 3 = 5
- y = 5 - 10 + 3
- y = -2
Therefore,
y = 2
Evaluate each expression:
I-3|=
Answers
The value of the modulus function |-3| is 3.
What is the value of modulus?'Modulus' exists a Latin word, which signifies 'measure'. Absolute value is commonly referred to as numeric value or magnitude. The absolute value designates only the numeric value and does not contain the sign of the numeric value. The modulus of any vector quantity exists ever taken as positive and exists in its absolute value.
The absolute value (or modulus) | x | of a real number x stands as the non-negative value of x without regard to its sign.
For example, the absolute value of 5 stands at 5, and the absolute value of −5 exists also at 5. The absolute value of a number may be considered as its distance from zero along a real number line.
Therefore, the value of the modulus function |-3| is 3.
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Solve the following system of equations
y= -½/x-2
Answers
Answer:
Wolfram|Alpha is capable of solving a wide variety of systems of equations. It can solve systems of linear equations or systems involving nonlinear equations, and it can search specifically for integer solutions or solutions over another domain. Additionally, it can solve systems involving inequalities and more general constraints.
Step-by-step explanation:
graph y=1/3x+5 PLS HELP ASAP
Answers
Answer:
Graph attached.
Step-by-step explanation:
Given equation:
[tex]y=\dfrac{1}{3}x+5[/tex]
The given equation is a linear equation in slope-intercept form, where 1/3 is the slope and 5 is the y-intercept.
To graph the equation, find and plot at least two points, then draw a straight line through them.
To find the points on the line, input values of x into the equation:
[tex]x = 0 \implies y=\dfrac{1}{3}(0)+5 \implies (0,5)[/tex]
[tex]x=3 \implies y=\dfrac{1}{3}(3)+5 \implies (3,6)[/tex]
[tex]x=6 \implies y=\dfrac{1}{3}(6)+5 \implies (6,7)[/tex]
See attachment for the graph of the given equation.
Find some points
x=0
y=5x=3
y=1+5=6x=-3
y=-1+5y=4Graph attached
suppose the equation z^2+4z+20+iz(A+1)=0 where A is constant has complex conjugate root if one of the root of this quadratic is z=B+2i where B is real constant find possible value of A ? please help me I need your help
Answers
If one of the roots is [tex]w=B+2i[/tex], then the other root is its conjugate [tex]\bar w=B-2i[/tex]. So we can factorize the quadratic to
[tex]z^2 + 4z + 20 + iz (A+1) = (z-(B+2i)) (z-(B-2i))[/tex]
Expand the right side and collect all the coefficients.
[tex]z^2 + (4+(A+1)i) z + 20 = z^2 - 2B z + B^2+4[/tex]
From the [tex]z[/tex] and constant terms, we have
[tex]\begin{cases}4 + (A+1)i = -2B \\ 20 = B^2 + 4 \end{cases}[/tex]
From the second equation we get
[tex]B^2 = 16 \implies B = \pm4[/tex]
Then
[tex]4+(A+1)i = \pm8[/tex]
[tex](A+1)i = 4 \text{ or } (A+1)i = -12[/tex]
Since [tex]\frac1i=-i[/tex], we have
[tex]-\dfrac{A+1}i = 4 \text{ or } -\dfrac{A+1}i = -12[/tex]
[tex]A+1 = -4i \text{ or } A+1 = 12i[/tex]
[tex]\boxed{A = -1 - 4i \text{ or } A = -1 + 12i}[/tex]
For csc 330:
a) state value of the ratio exactly
b) find one equivalent expression
c) draw a diagram to illustarte.
Answers
The value of the ratio based on the angle illustrated is 1:12.
How to illustrate the information?From the information given, it should be noted that the angle in a circle is 360°. Therefore, the value of theta will be:
= 360° - 330°
= 30°
The equivalent expression based on the angle will be:
= 30/360
= 1/12
= 1:12
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equivalent expressions to 7^3*7^x
Answers
=7^(3+x)
This is one of the rule in indices.
Find the difference between Simple interest and compound interest on 1200 for one year at 10% per annum
Answers
Answer:
the difference between them is zero cause on first year simple interest and compound interest are equal
What is the midpoint of the line segment graphed below?
Answers
Answer:
(4, 7/2)
Step-by-step explanation:
midpoint = x values/2, y values/2
Set B and the universal set U are defined as follows.
U={f,g,h,p,q,r}
B={g,q,r}
Find the following sets.
Write your answer in roster form or as Ø.
(a) B' U U =
(b) B ∩ Ø =
Answers
Answer:
(a) B' U U = { f,g,h,p,q,r}
(b) B ∩ U = {g,q,r}
Step-by-step explanation:
Greetings !
(a) B/c B'= {X: X∈U and X∉B}
thus,B'= {f,h,p}
B' U U= {f,h,p} U {f,g,h,p,q,r}
= {f,g,h,p,q,r}
(b) B ∩ U= {g,q,r}
Let m = X^2 + 3.
What is (x^2+3)^2+7x^2+21=-10 in terms of m?
OR
Let m=x^2+3m=x
2
+3m, equals, x, squared, plus, 3.
Which equation is equivalent to (x^2+3)^2+7x^2+21=-10(x
2
+3)
2
+7x
2
+21=−10left parenthesis, x, squared, plus, 3, right parenthesis, squared, plus, 7, x, squared, plus, 21, equals, minus, 10 in terms of mmm ?
Answers
The Equation in terms of m, m^2+7m+10=0
What is substituting in the equation ?
substituting means changing or replacing the values in the given equation.
Calculation:
Given equation is (x^2+3)^2+7x^2+21=-10
and m= X^2 + 3.
make the given equation in the form X^2 + 3,
now,
(x^2+3)^2+7x^2+21=-10
(x^2+3)^2+7(x^2+3)=-10
where,
X^2 + 3= m
after putting the value or replacing the values
we get, m^2+7m=-10
m^2+7m+10=0
the above equation is in the form of "m".
The Equation in terms of m, m^2+7m+10=0
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Answer:
m^2+7m+10=0
Step-by-step explanation:
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