Final answer:
Starting with Saul in the 3rd position and counting the 3 children between him and Enid, Enid is determined to be in the 7th position in the line.
Explanation:
To find the position of Enid in line, we start with Saul who is third in line. If there are 3 children between Saul and Enid, and Enid is last, we need to count the positions:
Saul is 3rd in line.
1st child after Saul is in the 4th position.
2nd child after Saul is in the 5th position.
3rd child after Saul is in the 6th position.
Enid is after the 3rd child, placing her in the 7th position.
Therefore, Enid is in the 7th position in line.
Brainliest promised!
What is the name of an interior angle of a triangle that is not adjacent to a given exterior angle of the triangle?
A) exterior angle
B) adjacent interior angle
C) remote interior angle
D) alternate interior angle
Answer:
The answer is C) Remote Interior Angle
Step-by-step explanation:
The name of an interior angle of a triangle that is not adjacent to a given exterior angle of the triangle is the remote interior angle. Getting the values of each sides help you come up with the remote interior and exterior angles.
Find the zeros of the function f(x) = x2 + 5x + 6. A) y = 6 because the graph crosses the y-axis at 6. B) y = -0.25 because that is the minimum value of the graph. C) x = 2 and x= 3 because the graph crosses the x-axis at 2 and 3. D) x = -3 and x = -2 because the graph crosses the x-axis at -3 and -2.
Answer:
D.)
Step-by-step explanation:
The zero's are referencing when y=0, note that when y=0 they are talking about the x-intercepts. You can graph the function and see when the graph crosses the x-axis or solve for the x-values. I will solve it via factoring and so:
[tex]f(x)=x^2+5x+6[/tex]
Multiply the outer coefficients, in this case 1 and 6, and 1×6=6. Now let's think about all the factors of 6 we have: 6×1 and 2×3. Now is there a way that if we use any of these factors and add/subtract them they will return the middle term 5? Actually we can say 6-1=5 and 2+3=5. Let's try both.
First let's use 6 and -1 and so:
[tex]x^2+5x+6\\\\x^2+6x-x+6\\\\x(x+6)-1(x-6)[/tex]
Notice how we have (x+6) and (x-6), these factors do not match so this is incorrect.
Now let's try 2 and 3 and so:
[tex]x^2+5x+6\\\\x^2+3x+2x+6\\\\x(x+3)+2(x+3)\\\\(x+2)(x+3)[/tex]
Notice how the factors (x+3) matched up so this is a factor and so is (x+2), now to solve for the zero's let's make f(x)=0 and solve each factor separately:
Case 1:
[tex]f(x)=x+2\\\\0=x+2\\\\x=-2[/tex]
Case 2:
[tex]f(x)=x+3\\\\0=x+3\\\\x=-3[/tex]
So your zero's are when x=-2 and x=-3.
D.) x=-3 and x=-2 because the graph crosses the x-axis at -3 and -2.
~~~Brainliest Appreciated~~~
The slope of the line below is-1/7Write a point-slope equation of the line using the coordinates of the labeled point.
The point slope formula is
y-y1=m(x-x1)
M represents slope and (y1, x1) are the coordinates to your point.
From this question we know the slope is -1/7 so you plug that in to the formula which will give you
Y-y1=-1/7(x-x1)
There isn’t a point attached to this question so let’s make up a point and say it’s (1,7). You plug this into the equation to get
Y-7=-1/7(x-1)
This is your equation.
Banu is 20 years older than binu. In 5 years, Banu will be twice as old as binu. Find their present age.
Answer:
i think Banu is 40 and Binu is 20
Step-by-step explanation:
if Banu was 35 and Binu was 15, 5 years go by Banu is 40 so still 20 years older and Binu is 20, Binu is half the age of Banu.
Why might where you live be a factor in determining your utility costs?
Answer:
Well some places are more expensive. This will effect the prices of utilities because some places have a higher expense of living because of the lack of certain materials or because of the desirable location. For example, although living in Hawaii was beautiful, it was extremely expensive for everyday items because most things needed to be shipped and because of constant tourism.
The factor for dependency of Utility Cost shown below.
What is Utility Cost?The cost of using utilities like power, water, waste disposal, heating, and sewage is known as a utilities expense. During the reporting period, the costs are incurred, computed, and accumulated for, or a payment is made.
Given:
Due to climate and fluctuating utility prices, location might affect your utility expenditures. The expense of heating would be higher in an extremely cold climate than in a warmer one.
Certain locations are more pricey. The cost of utilities will be impacted because some regions have a greater cost of living due to a shortage of specific materials or a desirable location.
For instance, even though Hawaii was a wonderful place to live, the cost of basic necessities was very high due to the frequent tourism and the fact that the majority of goods had to be shipped.
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Alicia was rock climbing. She climbed to a height of 30 ft. Next , she climbed down 18 ft. Finally she climbed up another 55 ft. Write an addition expression to describe this situation then find the sum of your addition expression to determine Alicia's elevation.
Answer:
Step-by-step explanation:
Alicia was rock climbing. She climbed to a height of 30 ft. Next , she climbed down 18 ft. Finally she climbed up another 55 ft. Write an addition expression to describe this situation then find the sum of your addition expression to determine Alicia's elevation.
EARN 50 POINTS, WILL MARK BRAINLIEST , PLEASE HELP
Name the property that justifies each statement.
if UV = KL and KL = 6 Then UV = 6
If measure angle 1 + measure angle 2 = measure angle 4 + measure angle 2 then measure angle 1 = measure angle 4
angle ABC is congruent to ABC
If 1/2 measure angle D = 45, then measure angle D = 90
If angle DEF is congruent to angle HJK, then angle HJK is congruent to angle DEF
Answer:
Use desmos it is really helpful
[tex]The\:Answers\:Are:[/tex]
[tex]A.\:If\:\:UV=KL \:\:And\:\:KL=6,\:Then\:\:UV = 6,\:True[/tex]
[tex]C.\:Angle\:ABC\:Is\:Congruent\:To\:ABC,\:True[/tex]
[tex]\mathrm{E.\:If\:Angle\:DE F\:Is\:Congruent\:To\:Angle\:HJK,\:Then\:Angle\:HJK\:Is\:Congruent\:To\:Angle\:DE F},\:True[/tex]
[tex]The\:Questions\:B\:And\:C\:Are\:False[/tex]
[tex]\mathrm{Hope\:This\:Helps!!!}[/tex]
[tex]\mathrm{Please\:Mark\:Brainliest!!!}[/tex]
[tex]\mathrm{-Austint1414}[/tex]
This is a A-E question! If you could assist me through each part, you will be rewarded brainliest and I'll obviously owe you big time lol! Thanks for your help if you're willing!
We are given that revenue of Tacos is given by the mathematical expression [tex]-7x^{2}+32x+240[/tex].
(A) The constant term in this revenue function is 240 and it represents the revenue when price per Taco is $4. That is, 240 dollars is the revenue without making any incremental increase in the price.
(B) Let us factor the given revenue expression.
[tex]-7x^{2}+32x+240=-7x^{2}+60x-28x+240\\-7x^{2}+32x+240=x(-7x+60)+4(-7x+60)\\-7x^{2}+32x+240=(-7x+60)(x+4)\\[/tex]
Therefore, correct option for part (B) is the third option.
(C) The factor (-7x+60) represents the number of Tacos sold per day after increasing the price x times. Factor (4+x) represents the new price after making x increments of 1 dollar.
(D) Writing the polynomial in factored form gives us the expression for new price as well as the expression for number of Tacos sold per day after making x increments of 1 dollar to the price.
(E) The table is attached.
Since revenue is maximum when price is 6 dollars. Therefore, optimal price is 6 dollars.
PLEASE HELP FOR BRAINLIEST!!
Write a function rule for the data in the table. Determine if it's a direct variation, inverse variation or neither. Last, determine the value of x if y=10.
Answer: [tex]\bold{y=\dfrac{24}{x}}[/tex] ; indirect variation ; x = 2.4
Step-by-step explanation:
direct variation is when: [tex]\dfrac{y}{x}=k[/tex] ; where k is the constant rate
indirect variation is when: xy = k ; where k is the constant rate
In the table provide: x * y = 24 for each coordinate provided, so this is indirect variation, with equation: [tex]y = \dfrac{24}{x}[/tex]
since k = 24, then input y = 10 and k = 24 into the equation above:
[tex]10 = \dfrac{24}{x}[/tex]
[tex]10x = 24[/tex]
[tex]x = \dfrac{24}{10}[/tex]
x = 2.4
PLEASE HELP! 37 POINTS!!!
A group of adults plus one child attend a movie at a movie theater. Tickets cost $10 for adults and $5 for children. The total cost for the movie is $85. Enter an equation to find the number of adults in the group.
Answer:
8 adults
Step-by-step explanation:
The proper equation to find the number of adults is as follows...
(1 x 5) +(10x) = 85
Since there is only one child will will have 1 ticket for a child. hint ( 1 x 5)
Since we need to find the total number of adults at the movie group we will put (10x)
Since the total cost is 85 we will have it equal to $85
Now time to solve
5 + 10x = 85
first subtract 5 from both sides ( 5 - 5 ) and ( 85 - 5 )
10x=80
Now divide both sides by 10 ( 10x/10 ) and 80/10
x=8
So there are 8 adults.
TO MAKE CHEESECAKE, U NEED ABOUT TWO AND A HALF POUNDS OF CREAM CHEESE . HOW many pounds of cream cheese do u need to make 2 chesseckes
the power in an electrical circuit is given by the equation p= /2 r, where / is the current flowing through the circuit. what is the current in a circuit that has resistance of 100 ohms and a power of 15 watts?
A. 0.15 amps
B. 0.39 amps
C. 6.7 amps
D.2.6 amps
Answer:
Actually, the equation is
power (in Watts) = I² * r
I - current in amps and r - resistance in watts
Solving this for the current (I)
I = square root (power / resistance)
I = square root (15 / 100)
I = square root (.15)
I = 0.3872983346 amps
answer is B
Step-by-step explanation:
The current in the circuit is approximately 0.39 amperes, which is option B.
The power in an electrical circuit can be calculated using the formula:
P = I^2 * R
Where:
P = Power (in watts)
I = Current (in amperes)
R = Resistance (in ohms)
In your case, you have:
P = 15 watts
R = 100 ohms
You want to find the current (I), so rearrange the formula to solve for I:
I = sqrt(P / R)
I = sqrt(15 watts / 100 ohms)
I = sqrt(0.15 A^2)
I = 0.39 A (approximately)
So, the current in the circuit is approximately 0.39 amperes, which is option B.
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Indicate the method you would use
Answer:
correct choice is 1st option
Step-by-step explanation:
Two given triangles have two pairs of congruent sides: one pair of length 7 units and second pair of length 8 units. The third side is common, i.e the lengths of third sides are equal too.
Use SSS theorem that states that if three sides of one triangle are congruent to three sides of another triangle, then these two triangles are congruent.
Thus, given triangles are congruent by SSS theorem.
Thirty-six of the students in the school choir like to sing solos. These 36 students make up 24% of the choir. How many students are in the choir?
Answer:
150
Step-by-step explanation:
We can write a proportion to find the total amount in the choir using the information given. A proportion is two equivalent ratios set equal to each other.
[tex]\frac{24}{100}=\frac{36}{y}[/tex]
We will cross multiply the numerator of one ratio with denominator of the other. And then solve for y.
24y=100(36)
24y=3600
y=150.
There are 150 students in the choir.
Plz Help!
What is the effect on the graph of the function f(x) = x when f(x) is replaced with −1/2f(x)?
A) vertical reflection over x-axis and vertical stretch
B) vertical reflection over x-axis and vertical compression
C) horizontal reflection over y-axis and horizontal stretch
D) horizontal reflection over y-axis and horizontal compression
When the function f(x) is replaced with -1/2f(x), it results in vertical reflection over x-axis and vertical compression of the graph.
Explanation:When the function f(x) is replaced with -1/2f(x), it means that the values of the original function are multiplied by -1/2. This has two effects on the graph of the function:
Vertical reflection over the x-axis: The positive values of f(x) become negative and vice versa. This flips the graph of the function vertically.Vertical stretch: The values of f(x) are multiplied by -1/2, which compresses the graph vertically. The new graph will be half as tall as the original graph.Therefore, the correct answer is B) vertical reflection over x-axis and vertical compression.
The length of a rectangle is 7 feet. If the perimeter is 42 feet, what is the width of the rectangle
The perimeter of a rectangle is found by multiplying the length by 2 and then adding that to the width multiplied by 2.
The length is 7, multiplied by 2 = 7x2 = 14.
Subtract that from the total perimeter:
42 - 14 = 28
The length of the 2 widths is equal to 28, to find the length of 1 width, divide that by 2:
Width = 28 / 2 = 14
The width is 14 feet.
If the domain of f (x ) = 4 +x2 is {-1, 0, 1, 2}, what is the range?
Answer: y = {5, 4, 8}
Step-by-step explanation:
f(x) = 4 + x²
f(-1) = 4 + (-1)²
= 4 + 1
= 5
f(0) = 4 + (0)²
= 4 + 0
= 4
f(1) = 4 + (1)²
= 4 + 1
= 5
f(2) = 4 + (2)²
= 4 + 4
= 8
Put the values from domain to the equation of the function.
f(x) = 4 + x²
f(-1) = 4 + (-1)² = 4 + 1 = 5
f(0) = 4 + 0² = 4 + 0 = 4
f(1) = 4 + 1² = 4 + 1 = 5
f(2) = 4 + 2² = 4 + 4 = 8
Answer: The range = {4, 5, 8}Bruce rented a motorcycle for a friend. The cost of renting a bike for one day can be represented by: 75 + 0.14m Where m is the number of miles traveled. Label each part of the expression:
•The daily rental rate for the bike:
•The cost per mile the shop will charge to rent:
•The cost in mileage for 1 day of travel:
Answer:
The daily rental rate is 75 dollars
The cost per mile is .14
The cost for the mileage is .14m
The total cost per day is .14m+75
Step-by-step explanation:
cost = 75 + 0.14m
Let's rewrite this in the form
y= mx+b
where m is the slope and b is the y intercept
cost = .14m +75
The daily rental rate is 75 dollars
The cost per mile is .14
The cost for the mileage is .14m
The total cost per day is .14m+75
A kite is 37 feet in the air and string forms an angle of 62 degrees with the ground how long is the string
Answer:
The length of the string is 32.56 feet (Approx) .
Step-by-step explanation:
As given
A kite is 37 feet in the air and string forms an angle of 62 degrees .
Now by using the trignometric identity.
[tex]sin\theta = \frac{Perpendicular}{Hypotenuse}[/tex]
As shown in the figure given below.
[tex]\theta = 62^{\circ}[/tex]
Perpendicular = AB
Hypotenuse = AC = 37 feet
Put in the identity .
[tex]sin\ 62^{\circ} = \frac{AB}{AC}[/tex]
[tex]sin\ 62^{\circ} = \frac{AB}{37}[/tex]
[tex]sin\ 62^{\circ} = 0.88\ (Approx)[/tex]
Put in the identity
[tex]0.88 = \frac{AB}{37}[/tex]
AB = 0.88 × 37
AB = 32.56 feet (Approx)
Therefore the length of the string is 32.56 feet (Approx) .
y = 2x + 3
2y = 4x + 6
The system of equations has _____ solution(s).
A.no
B.one
C.infinite
Answer: The second equation (2y=4x+6) can be divided by 2 to get y=2x+3. Since this is the same equation as the first one, there are infinite solutions.
The amount of time t (in hours) it takes to complete a certain job varies inversely with the number of workers, w. The constant of variation is 28. Find the time it takes to complete the job when the number of workers is 16.
Answer:
1.75 h
Step-by-step explanation:
t = k/w
k = 28
t = 28/w
If w = 16,
t = 28/16
t = 1.75 h
It will take 16 workers 1.75 h to complete the job.
Can someone please help me with this question? Thank you!
Answer: A
Step-by-step explanation:
[tex]\stackrel\frown{XY}[/tex] ≅ [tex]\stackrel\frown{YZ}[/tex]
⇒ ∠XOY ≅ ∠ZOY
[tex]\overline{XO}[/tex] ≅ [tex]\overline{ZO}[/tex] since they are both a radius
[tex]\overline{OY}[/tex] ≅ [tex]\overline{OY}[/tex] based on reflexive property
∴ ΔXOY ≅ ΔZOY by SAS
So, [tex]\overline{XY}[/tex] ≅ [tex]\overline{ZY}[/tex] by CPCTC
ZY = 10.2 is given
so, XY = 10.2 by substitution property
Please answer thank you
Answer:
45°Step-by-step explanation:
they are opposite angles, same value of 45°
A line crosses the y-axis at (0,4) and has a slope of -2. Find an equation for this line. A) y = 2x + 4 Eliminate B) y = -2x + 4 C) y = -2x - 4 D) y = -4x + 2
Answer:
We have the equation y - 4 = (-2)( x - 0 );
Then, y - 4 = -2x;
Finally, y = -2x + 4;
The correct answer is B) y = -2x + 4;
Step-by-step explanation:
The equation for the line with a slope of -2 and crossing the y-axis at (0,4) is y = -2x + 4.
To find an equation for a line that crosses the y-axis at (0,4) with a slope of -2, we can use the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept. Since we are given that the slope (m) is -2 and the y-intercept (b) is 4, the equation of the line is y = -2x + 4.
The width of Florida is 4/5 of its length if the length of Florida is about 450 miles what is the approximate width
Answer:
4/5 of 450 is 360
Step-by-step explanation:
West and Company uses the LIFO method to calculate inventory values. Their beggining inventory consisted of 200 units at a cost of $9.00 each. Purchases included 300 units at $10.00 each on February 18
Answer:
The total inventory is 200 + 300 + 400 + 100 = 1000.
Step-by-step explanation:
If 300 units remained, the we calculate the cost of the 700 sold via LIFO. These 700 units include the 100 units at $12.00, the 400 units at $11.00, and 200 units at $10.00 (out of the 300 purchased). This is a total cost of 100*12 + 400*11 + 200*10 = 1200 + 4400 + 2000 = $7600.
On a game show, Elena is given the choice of three doors: Behind one door is the Grand Prize; behind the others, consolation prizes. She picks Door A, and the host, who knows what is behind each door, opens Door B, revealing a consolation prize. The host then offers Elena the opportunity to change her selection to Door C. What should she do?
A)She should not accept because the probability of Door A being the Grand Prize increased.
B)She should accept because the probability of Door C being the Grand Prize increased.
C)She could either accept or not accept because now the probabilities of both doors are equal.
D)She could either accept or not accept because the probabilities of the three doors were equal from the beginning.
(I've already tried the last answer (D), It wasn't correct :< )
Answer:
B)She should accept because the probability of Door C being the Grand Prize increased.
Hope you do well on the rest of the test!
the sum of 2x+7 and −x+12 is equal to 14 what is x?
Answer:-5
Step-by-step explanation:
2x+7-x+12=14
x+19=14
x=-5
Answer:
x=-5
Step-by-step explanation:
Ok so, (2x+7)+(-x+12)=14
solve the equation, by opening the parantheses.
2x+7+-x+12=14
x= -5
Please help! Urgent!
A blue circular target is tacked onto a square corkboard. The area of the target is 75 square units. What is the area of the corkboard that is not covered by the target?
A) 25 square units
B) 65 square units
C) 75 square units
D) 100 square units
Answer:
The Correct Answer Is A.) 25 Square Units
Step-by-step explanation:
The area of the corkboard that is not covered by the target is 25 sq. units.
(Option A).
What is the area of the corkboard that is not covered by the target?The area of the corkboard that is not covered by the target is calculated from the difference between the area of the square and area of the target.
Area of the square is calculated as;
A = L²
A = ( 5 + 5)²
A = 100 sq units
The area of the target is 75 sq. units, so we wil use this value
The area of the corkboard that is not covered by the target is calculated as;
A = 100 - 75
A = 25 sq. units.
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ILL GIVE BRAINLIEST
For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.
x y
---------------------------
4 28
6 48
8 72
a.yes,y=2x
b.yes,y=5x
c.yes,y=7x
d.no, y does not vary directly with x
Answer:
Option d is correct.
no , because y does not vary directly with x.
Step-by-step explanation:
Direct variation states that a relationship between any two variables in which one is a constant multiple of the other.
in other way, when one of the variable changes then the other changes in proportion to the first.
If y is directly proportional to x i.e, [tex]y \propto x[/tex]
then the equation is of the form;
[tex]y = kx[/tex] where k is the constant of Variation.
From the table:
Consider any values of x and y:
Let x = 4 and y = 28
then by definition of direct variation solve for k;
28 = 4k
Divide both sides by 4 we get;
k = 7
Then the equation become: y = 7x .....[1]
Check whether the other data follows this equation or not,
x = 6 and y = 48
Substitute in equation [1];
48 = 7(6)
48 = 42 False
Also, for;
x = 8 and y= 72
72 = 7(8)
72 = 56 False
⇒ y= 7x does not follows the data of the given table.
Therefore, y does not vary directly with x.