Answer:
(y-5)^2=14(x+7/2)
Step-by-step explanation:
The equation for a parabola with a focus at (0,5) and a directrix at x = -7 is (y - 5)² = 14 (x + 3.5).
What is Parabola?A parabola is a two dimensional figure on a plane which is U shaped and any point on the parabola is at an equal distance from a fixed point called focus and a fixed line called directrix.
Given,
Focus of the parabola at (0, 5).
Directrix is x = -7.
The parabola is horizontal parabola since the directrix is a vertical line.
Equation of the parabola is of the form,
(y - k)² = 4p (x - h)
Here (h, k) is the vertex.
Vertex of the parabola is the mid point of focus (0, 5) and the point (-7, 5).
(h, k) = ([tex]\frac{0 + -7}{2}[/tex], 5) = (-7/2, 5)
Now, p is the distance from vertex to focus.
p = 0 - -7/2 = 7/2 = 3.5
So the equation is,
(y - 5)² = 4× 3.5 (x - -3.5)
(y - 5)² = 14 (x + 3.5)
Hence the equation is (y - 5)² = 14 (x + 3.5).
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How long will it take an investment to double at 8% annual Interest? (Assume the interest rate is compounded continuously)
Answer:
8.66 years
Step-by-step explanation:
F = Pe^(rt)
2 = e^(0.08t)
ln 2 = ln [e^(0.08t)]
ln 2 = 0.08t
t = (ln 2)/0.08
t = 8.66
Answer: 8.66 years
I want to know why D is the correct answer
Answer:
Cause it is
Step-by-step explanation:
ya know?
Answer:
It's B
Step-by-step explanation:
To find the surface area of a pyramid, you'll multiply L*W*H/3
810 divided by 3 is 405
What would the approximate amperage setting be if a welder were set to the high range (150 to 350 amps) and the fine adjustment knob were painting at 5 on a 10 point scale
On solving the provided question, we can say that the approximate amperage setting be if a welder were set to the high range would be 350 amps.
What is range?The variable's range is obtained by finding its largest observed value (maximum) and subtracting its smallest observed value (minimum). Variational bounds or possible range: various steel prices; various styles; The extent or magnitude of a procedure or action: insight. the maximum or expected range of a weapon's projectile. The range of a list or set is the number between the minimum and maximum. Prior to identifying the region, align all the numbers. Remove (remove) the lowest number from the highest number next. The list's range is provided in the solution.The solution provides the list's range.
here,
the approximate amperage setting be if a welder were set to the high range would be 350 amps
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Evelyn gave a $3 tip to the person delivering her $15 pizza. What percent of the cost of the pizza was the tip that she paid?
A university just acquired more land which is shown by the triangle in the diagram. What is the area of the land that the university just aquired?
Therefore , the solution of the given problem of area comes out to be the land acquired by university is of 3 miles square area.
Define area.The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.
Area = length x breadth.
Here,
Given : A triangle land which has
height = 2miles
and base = 1.5+ 1.5 = 3 miles
Thus,
To find the area of triangle :
=> Area = 1/2*b*h
=>Area = 3*2/2
=> Area = 3 miles square
Therefore , the solution of the given problem of area comes out to be the land acquired by university is of 3 miles square area.
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7.4 1; 2; 4; 7; 11; 16; 22;
Describe this pattern:
Answer:
minus 3 plus 1 plus 2 plus 3 plus 5
Step-by-step explanation:
4cm multiplies 3 whole 1/2
i need hlep with this q
The slope of the line is 40 if the points are joined.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
given:
Take two points from the graph as (2, 80) and (4, 160)
Then, the slope of line is
slope, m = ( 160- 80) / ( 4- 2)
slope, m = 80 /2
slope , m = 40
Hence, the slope is 40.
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what's the equation of a line in slope-intercept form of a line that has a slope of -6 and contains (3,-4)
HELP ME PLEASE!!!!!!
[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - 6 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- 6}(x-\stackrel{x_1}{3}) \implies y +4= -6 (x -3) \\\\\\ y+4=-6x+18\implies {\Large \begin{array}{llll} y=-6x+14 \end{array}}[/tex]
If Mr. Brust can bambam 8 jamjams in 12 whamwhams, the how many jamjams can he bambamin 33 whamwhams? (Yes, I know this is weird)
Answer: 22 jamjams in 33 whamwhams
Step-by-step explanation:
33 ÷ 12 = 2.75 = 12 x 2.75 = 33
2.75 x 8 = 22
Answer:
Mr. Brust can bambam 22 jamjams in 33 whamwhams.
Step-by-step explanation:
Mr. Brust can bambam 8 jamjams in 12 whamwhams.
Mr. Brust can bambam x jamjams in 33 whamwhams.
Use a proportion.
8/x = 12/33
12x = 8 × 33
x = 8 × 33/12
x = 12
Answer:
Mr. Brust can bambam 22 jamjams in 33 whamwhams.
What is the radius and diameter of the following circle?
Answer:
Diamter is 14 and radius is 7
Step-by-step explanation:
May I have barinliest answer please?
True or false? The graph represents a function.
Answer:
true :)
Step-by-step explanation:
a man left 1/2 of his money to his first son 3/8 to his second son, the rest 80,000 to his third son.how much did he he leave to his second son
As per the given conditions in the question, the amount of money that the second son was left with by the man is 2,40,000.
How do you add two fractions with different denominators?To add two fractions with different denominators, you must first find a common denominator. A common denominator is a number that is divisible by both denominators of the fractions. Once you have a common denominator, you can add the numerators of the fractions together and place the sum over the common denominator. Then simplify the fraction if possible.
What is the reciprocal of a fraction?The reciprocal of a fraction is another fraction whose numerator and denominator are flipped. For example, the reciprocal of the fraction 2/3 is 3/2. The product of a fraction and its reciprocal is always equal to 1. To find the reciprocal of a fraction, simply swap the numerator and denominator.
Considering the conditions given in the question,let us suppose that the third son was left with x part of the money,
so we can use the equation,
part of money left for fist son + part of money left for second son + part of money left for third son = total part of money
or, 1/2 + 3/8 + x = 1
therefore, x = 1/8
Also we know that the third son was left 80,000 ,
so 1/8 of total money = 80,000
therefore, total money = 80000 * 8 =6,40,000
Now the amount left for the second son is , 3/8 of total money
which is equal to , 3/8 of 6,40,000 = 2,40,000
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Find the surface area of the pyramid. Correct answer will be marked brainliest!!!!
Answer:
178.3 mm²
Explanation:
The surface area of the regular pyramid is equal to the sum of the base and lateral areas:()
The diameter of a circle is 14 meters. What is the circle's circumference?
Answer:
43.96 m.
Step-by-step explanation:
The formula for circumference is: πd (diameter).
According to the word problem, the diameter is 12.
**3.14 IS A SUBSTITUTE FOR PI**
3.14 × 12 = 43.96
Therefore, 43.96 meters is the circumference of this circle.
put this equation in Slope-Intercept form
Y + 2 = -5 ( X + 3 )
Answer: y=-5x-17
Step-by-step explanation:
Slope-intercept form follows the formula y-mx+b, where m is slope and b is y-intercept. All we have to do is to manipulate the equation to look like y=mx+b.
[tex]y+2=-5(x+3)[/tex] [distribute right side]
[tex]y+2=-5x-15[/tex] [subtract both sides by 2]
[tex]y=-5x-17[/tex]
Now, our equation matches y=mx+b with m=-5 and b=-17.
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
sin w = 15/17
Step-by-step explanation:
sin w = opp/hyp
opp of W is VX = 15
hyp is the longest = 17
sin w = 15/17
=========================================================
Explanation:
A drawing may help. See the image below.
Angle X is the 90 degree angle, so angles W and W are the acute angles of right triangle VWX.
The reference angle here is W. Since this is the reference angle, the side opposite angle W is VX = 15. We simply call this "opposite".
The hypotenuse is always opposite the 90 degree angle. This is true no matter what acute reference angle you pick. Since X = 90, this makes WV = 17 the opposite side. Also, the hypotenuse is always the longest side.
The sine of an angle is the ratio of the opposite and hypotenuse
sin(angle) = opposite/hypotenuse
sin(W) = VX/WV
sin(W) = 15/17
Side note: The side XW = 8 isn't used at all. If you wanted to compute cos(W) or tan(W), then you would use side XW.
Which expression is equivalent to 4 - 10 (9m – 7:)
0-3 - 90m
O 42 – 54m
O 74 - 90m
O-7 - 54m
The correct choice will be 74 - 90m
WILL MARK BRANLIEST
Question 2 of 5 | Page 2 of
Question 2 (1 point)
The table shows the depth of water in a pond as it is being filled.
What is the average rate of change, in meters per minute, of the depth of the
water in the pond, between t = 2 and t = 5? Round your answer to the nearest
hundredth.
Answer:
0.47metres per minute
Step-by-step explanation:
you would minus t 5 from 3 which would be 1.34- 0.87 which equals 0.47
lines a and b are parallel. which angles is congruent to angle? 4
Answer:
ANGLE 5 IS CONGURENT TO ANGLE 4
PLEASE MARK BRAINLIEST
Question
Joshua's goal is to sell more than 20 items at a farmers' market. So far, he has sold 6 items. Each customer buys 2 items.
Let c represent the number of additional customers Joshua must have to meet his goal.
Drag and drop the answer into the box to correctly complete the statement.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Joshua needs to have more than Response area additional customers to meet his goal.
Joshua will need 7 additional customers.
How to determine the number of customers he needs?
The parameters that will help us to determine the number of customers is give as follows:
Joshua's goal is to sell more than 20 items at a farmers' market. So far, he has sold 6 items. Each customer buys 2 items.
Since Joshua's goal is to sell more than 20 items at a farmers' market and he has sold 6 items. and If each of his customers buys 2 items, the number of additional customers needed will be:
= (20 - 6) / 2
This is given as 14 / 2
The the number of customers needed = 7
In conclusion He will need 7 additional customers.
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A principal randomly chose 40 students from grade 7. Of these students, 9 were wearing watches. Based on this information, what is the most reasonable prediction of the number of students wearing watches in a group of 480 students from grade 7?
F 180
G 12
H 360
J 108
Answer:
108
Step-by-step explanation:
480 is 12 times more then 40 therefore 108 is 12 times 9 so it's the answer
what is 629 divided by 8
Answer:
78.625
Step-by-step explanation:
629 / 8 = 78.625
Answer:
629/8=78.625
OR
[tex]\frac{629}{8}=78\frac{5}{8}[/tex]
During January 2012, 50 000 new vehicles were sold in Ontario. About 20% of these were leased. How many vehicles were leased?
Answer:
10,000 vehicles.
Step-by-step explanation:
20 percent of 50,000 is 10,000.
1. r-h=rh
make r the subject and show the steps plz
2. V= pir^2h
make r the subject and show the steps plz
Answer:
1. N/A
2. √V/pi*h= r
Step-by-step explanation:
1. when you try to get r on one side, the r's cancel out
2. V/pi*h= r^2
√V/pi*h= r
What do the stage directions in this example most clearly show about the
character Darius?
DARIUS. [Hunched over, his gaze darting around the room, and
shouting into his phone] You better give me my money back or else.
[Indistinct sounds from the phone]
DARIUS. [Trembling and wiping sweat from his forehead That's right.
I'm your worst nightmare.
[Indistinct sounds from the phone]
A. Darius fakes being tough but is actually nervous.
B. Darius is somebody who demands what he wants.
C. Darius can't understand the person he's talking to.
D. Darius has plans but is too lazy to achieve them.
In addition to describing a character's appearance and movement on stage, stage directions also describe the sound and visual effects of the surroundings.
What is the meaning of stage direction?Stage directions may include phrases like "Katy enters the room" and "The man deals a deck of cards." They describe what the characters in the scene are doing.
Stage direction is also evident in statements about the setting, like "the early sunlight floods the space." The stage directions specify how a character will look, where they will move on the stage, and how the surroundings will sound and seem.
The links between things, characters, and locations in a book are made clear to the reader by stage directions, which also provide important details about the action. Stage directions are given by actors on the stage. "Stage right" is the area to the audience's left.
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Stage directions include things like "The man deals a deck of cards" and "Katy enters the room."
What is stage direction?Examples of stage instructions include "The man deals a deck of cards" or "Katy enters the room." In the scene, they describe how the characters move. Stage direction can also be demonstrated by describing the environment, such as "the early sunlight floods the space."
What a character looks like, where they go in the stage, and how the setting sounds and appears are all revealed in the stage instructions. The relationships between persons, things, and places in a text are described in great detail in stage directions.
To this day, the connotation remains unchanged. The three zones Upstage (in the back of the stage), Centerstage (in the middle), and Downstage are present in every theatre (front of the stage).
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What is the value of 5 + 5.3^4?
810
410
O65
120
Therefore , the solution of the given problem of expression comes out to be 794.0481.
Describe expression.combinations of numbers, symbols, and operations (such + and) that show how much something is worth. Examples: • 2 + 3 is the formula.
• 3 x/2 variable is another formula.There is no equals sign in the expression. A mathematical expression is a sentence made up of variables, numbers, or both. There is never an equal symbol in an expression. These expressions are examples. An equation is a mathematical statement proving the equality of two expressions.
Here,
Given : 5 + [tex](5.3)^{4}[/tex]
=> 5 + (5.3)*(5.3)*(5.3)*(5.3)
=> 789.0481 + 5
=> 794.0481
Therefore , the solution of the given problem of expression comes out to be 794.0481.
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Derrick cut a square cake vertically to make two rectangle slices. Each rectangle had a perimeter of 51 inches.
Answer:
17 inches
Step-by-step explanation:
Given
[tex]P = 51[/tex] --- Perimeter of rectangle
Required
The length of the original square
The perimeter is calculated as
[tex]51 = 2(L + W)[/tex]
Divide by 2
[tex]25.5 = L + W[/tex]
The rectangle and the square have the same length.
So:
[tex]L = 2W[/tex]
[tex]25.5 = L + W[/tex] becomes
[tex]25.5 = 2W + W[/tex]
[tex]25.5 = 3W[/tex]
Divide both sides by 3
[tex]W = 8.5[/tex]
Recall that:
[tex]L = 2W[/tex]
[tex]L = 2 * 8.5[/tex]
[tex]L = 17[/tex]
find asymptotes for y=x^3 + 3^x
Answer:
No asymptotes
Step-by-step explanation:
The equation provided does not have any asymptotes. Neither for the y-axis or x-axis. It instead goes towards infinity endlessly. Meanining that there is no value that is equal to zero in this equation. The graph below shows the equation graphed, but could not be zoomed out because the equation is endless.
Where is the x-intercept in a quadratic formula?
The x-intercept in a quadratic formula is where the graph of the function crosses the x-axis.
An x-intercept is a point on the graph of a function where the y-coordinate is equal to zero. In other words, it's a point on the graph where the function intersects the x-axis. The x-intercepts of a quadratic formula can be found by setting the y-value equal to zero and solving for x.
The quadratic formula is typically in the form of ax^2 + bx + c =0, thus by setting y=0 we get x = -b/2a and x = -b/2a, these are the x-intercepts where the graph of the function will cross the x-axis. The x-intercepts are also known as the roots or zeroes of the function, and are important for understanding the overall shape of the graph.
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