Answer:
base = 3
Step-by-step explanation:
The area of triangle is calculated using the following formula:
1/2*b*h (b: base, h: height)
The area and height is given, to find the base we can make the following equation:
1/2*b*9 = 54
9b/2 = 54 multiply both sides by 2
9b = 27 divide both sides by 9
b = 3
what is the equation of the following graph?
Answer:
Step-by-step explanation:
When figuring out the graph of a sinusoidal, I keep in mind the acronym FPARHM:
F - function (sine or cosine)
P - period
A - amplitude
R - reflections
H - horizontal/phase shift
M - midline
Looking at the graph, we can figure out that the function is sine (since it intersects the origin at its midpoint, the period is [tex]\pi[/tex] (because it repeats every [tex]/pi[/tex] units in the x-direction, the amplitude is 2 (because the graph's extreme points are 2 units away from the midline in the y-direction, there are no reflections, no horizontal/phase shift, and the midline is [tex]y=0[/tex] (since the graph isn't shifted up or down in the y-direction.
Finally, knowing all these parts, we can piece together the equation of the sinusoidal graph. In general, the equations of sinusoidal graphs are in the form [tex]y=a\sin(bx+c)+d[/tex] where [tex]|a|[/tex] is the amplitude, [tex] \frac{2\pi}{|b|}[/tex] is the period, [tex] \frac{c}{b}[/tex] is the horizontal shift, and [tex]d[/tex] is the midline. Additionally, if [tex]a[/tex] is negative, the graph needs to be reflected over the x-axis and if [tex]b[/tex] is negative, the graph needs to be reflected over the y-axis. Knowing this, all we need to do is plug in the amplitude, period, phase shift, and midline to the equation. The equation is [tex]y=2\sin(2x)[/tex]
Hope this helps :)
f(1)=15
f(n)=f(n-1)·n
f(2)=?
Answer:
is f(2)=13 this is the answer because You have to división ir multiplicar ir
Answer:
f(2)=30
Step-by-step explanation:
Khan <3
Select the equation for a graph that is the set of all points in the plane that are equidistant from the point F(0, −8) and line y = 8.
Answer:
-1/32 × x
Step-by-step explanation:
let's define and identify the correct markers of the correct parabola.
so, we have the focus point F (0, -8).
we have the directrix y = 8.
that means the the vertex point (the middle between the focus and the directrix) is (0, 0).
a parabola is turning away from the directrix. the vertex here is below the directrix, so the parabola is opening downwards and has therefore a negative factor of x.
so, we can rule out the 2 positive answer options.
to decide between the other 2, let's use a value of x and see, if the point is equidistant to the focus and the directrix.
e.g. x = 1
so,
y = -1/8 × x²
gives us y = -1/8 for x = 1
that means the point is (1, -1/8).
the distance to the focus (0, -8) is
(1 - 0)² + (-1/8 - - 8)² = 1 + (7 7/8)² = 1 + (63/8)² =
= 64/64 + 3969/64 = 4033/64
the distance to the directrix is the distance to the point (1, 8) as the point on the directrix must have the same x value.
so, the distance (1, -1/8) to (1, 8) is
(1 - 1)² + (-1/8 - 8)² = 0 + (-65/8)² = 4225/64
that is not equal to the distance to the focus.
so, let's try
y = -1/32 × x
the point for x = 1 is (1, -1/32)
distance to focus
(1, -1/32) to (0, -8) = (1-0)² + (-1/32 - -8)² = 1 + (255/32)² =
= 1024/1024 + 65025/1024 = 66049/1024
distance to directrix
(1, -1/32) to (1, 8) = (1-1)² + (-257/32)² = 66049/1024
which is the same distance as to the focus.
so, y = -1/32 × x is the right answer.
FYI - for an actual distance I would have to create the square roots of the numbers used here.
but since we only needed to see, if distances are equal or not, it was sufficient to check if the squares of the distances are equal or not.
At a local pizza shop 2 pizzas will serve 6 people.
How many people will 8 pizzas serve?
An angle measure 29•, what is the measure of it compliments
Answer:
The complement of 29° is the angle that when added to 29° forms a right angle (90° ).
Step-by-step explanation:
Hope this helps you!
Which expression is three less than the product of a number and two,increased by five
Answer:
(2x+5)-3
Step-by-step explanation:
Darya is a real estate broker with a house listing. She estimates that this listing will cost her $2300 for various expenses. If Darya sells the house within 6 months, she will receive a commission of $20,000. If it takes longer than 6 months, the listing will expire, and she'll lose the $2300 she spent on expenses. She estimates the probability that she'll sell the house within 6 months is 80%. Determine Darya's expectation for this listing.
Using a discrete distribution, it is found that Darya's expectation for this listing is of $13,700.
What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
In this problem, considering the situation described in the text, the distribution is given by:
P(X = 17,700) = 0.8.P(X = -2,300) = 0.2.Hence, her expectation is given by:
E(X) = 0.8 x 17,700 - 0.2 x 2,300 = $13,700.
More can be learned about discrete distributions at https://brainly.com/question/24855677
Test question, are you able to hold yourself from adding an answer?
Which number line shows the solution set for l s/2 +4 l <2
Step-by-step explanation:
Hopefully this was helpful!
A department store has 950 customers one day, and 82% of customers made a purchase. Of the customers who made a purchase, 528 bought just one item, 186 bought two items, and the remainder bought three or more items. How many customers bought three or more items?
Answer:
65 bought 3 or more items.
Step-by-step explanation:
See attached summary. The total purchasing customers was 779 (0.82*950). Use the percentages to calculate calculate the numbers of customers who purchased one and two items (528 and 186). Add those and subtract from the total number of customers who purchased anything (779) , to arrive at the number who bought three or more items. 65 bought three or more items.
The dosage for a painkiller is 0.05 mg per kilogram of a patient's body mass. How much of the drug should be administered to a patient who is 50 kg?
A 50-kg patient would be given mg of painkiller?
Answer:
0.05 mg for 1 kg, so multiply 0.05 by 50, since the patient is 50 kg, and you get 2.5 mg.
Answer:
2.5 mg
Step-by-step explanation:
.05 mg / kg * 50 kg = 2.5 mg
tickets originally worth p dollars were discounted by 28%. which expression represents the discounted price of the tickets?
Answer:
.72p
Step-by-step explanation:
1p equals the original price
100 percent of p
we are reducing it by 28 percent, which means only 72 percent of p will remain
72 percent or .72
.72p
how many feet is the answer?
Answer:
1023 feet
Step-by-step explanation:
Given P(E or F) = 0.69, P(E) = 0.49, and P(E and F) = 0.06, what is P(F)?
Answer:
P(F) = 0.26
Step-by-step explanation:
Given:
P(E ∪ F) = 0.69P(E) = 0.49P(E ∩ F) = 0.06Using formula: P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
⇒ P(E ∪ F) = P(E) + P(F) - P(E ∩ F)
⇒ 0.69 = 0.49 + P(F) - 0.06
⇒ 0.69 = 0.43 + P(F)
⇒ P(F) = 0.69 - 0.43
⇒ P(F) = 0.26
If you deposit $3,000 in a savings account that earns simple interest at a rate of 2.5% a year, how much interest would you have after 4 years?
Work Shown:
i = P*r*t
i = 3000*0.025*4
i = 300
what is the answer to -2-(-2)
Answer:
0
Step-by-step explanation:
-2 + 2 = 0
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
Which graph represents an exponential function?
Answer:
the linear graph man
please why ask ezzy questions
-5x+y=-10 and -4x-y=-26
[tex]\left\{\begin{matrix}x=4\\y=10\\\end{matrix}\right.[/tex]
Step-by-step explanation:Solve the equation[tex]\left\{\begin{matrix}-5x+y=-10\\-4x-y=-26\\\end{matrix}\right.[/tex]
_____________________________________
Add the two equations[tex]-5x+y+(-4x-y)=-10+(-26)[/tex]
____________________________
Remove parentheses[tex]-5x+y-4x-y=-10-26[/tex]
_________________________________________________
Cancel one variable[tex]-5x-4x=-10-26[/tex]
___________________________________________
Combine like terms[tex]-9x=-10-26[/tex]
______________________________________________
Calculate the sum or difference[tex]-9x=-36[/tex]
________________________________________________
Divide both sides of the equation by the coefficient of variable
[tex]x=\frac{-36}{-9}[/tex]
____________________________________________________
Determine the sign for multiplication or division
[tex]x=\frac{36}{9}[/tex]
_________________________________________
Cross out the common factor
[tex]x=4[/tex]
_____________________________________________Step-by-step explanation:Substitute into one of the equations[tex]-4\times4-y=-26[/tex]
____________________________________________________
Calculate the product or quotient
[tex]-16-y=-26[/tex]
______________________________________________________
Rearrange variables to the left side of the equation
[tex]-y=-26+16[/tex]
_____________________________________________
Calculate the sum or difference
[tex]-y=-10[/tex]
_________________________________________-
Divide both sides of the equation by the coefficient of variable
[tex]y=10[/tex]
I hope this helps you
:)
PLSS HELP ME
12/12 + 12/12 + 7/12=_____
2 7/12
This is because 12/12 is equal to 1/1 or 1. So 12/12 + 12/12 = 2.
2 + 7/12= 2 7/12
Answer:
31
-----
12
Step-by-step explanation:
12 12 7 31
---- + ------- + ----- = -------
12 12 12 12
Add the numerators together (top number) and keep the denominator the same (bottom number)
I hope this helps!
Please solve with explanation high points
Answer:
a. -2x^2 + 3x+5=y
b.-x^2 +5x-4=y
c.-x^2 +6x-12=y
Step-by-step explanation:
a.y=-2x^2 +bx+c
the points P and Q lie on curve
[tex]\left \{ {{-b+c=2} \atop {b+c=8}} \right.[/tex]
=> b=3, c=5
b. delta = b^2 +4c
x1= [tex]\frac{-b+\sqrt{b^{2}+4c } }{-2}[/tex] =4
=> [tex]b-\sqrt{4c+b^{2} }[/tex]=8
x2=[tex]\frac{-b-\sqrt{b^{2}+4c } }{-2}[/tex]=1
=>2=b+[tex]\sqrt{b^{2}+4c }[/tex]
suppose : [tex]\sqrt{b^{2}+4c }[/tex] = a
=> [tex]\left \{ {{a+b=2} \atop {-a+b=8}} \right.[/tex]
=> a=-3
b=5
a=-3 => [tex]\sqrt{b^{2}+4c }[/tex] =-3 => b^2 +4c =9 =>5^2 +4c=9 => c=-4.
c.vertex (3;-3)
[tex]\frac{-b}{-2}[/tex]=3 => b =6
[tex]\frac{-D}{4a}[/tex]=[tex]\frac{-b^{2}+4ac}{-4}[/tex] =-3 =>-b^2+4ac=12 => c=-12.
Find all the factors of 18.
A) 2, 9
B) 1, 2, 3, 6, 9, 18
C) 1, 2, 3, 4, 6, 8, 9, 18
Answer:
B)1, 2, 3, 6, 9, 18
Step-by-step explanation:
1×18
2×9
3×6
HOPE IT HELPS YOU
How do you know what units to use for Tamara to feed her cats
The units use for Tamara's cats is an illustration of metric units
Tamara's unit of feeding her cats is cups
How to determine the unit of measurement?From the complete question, the amount of feed Tamara gives her cat to be:
Amount = 1/8 cups
This means that the unit of feed Tamara used is cups
Hence, Tamara's unit of feeding her cats is cups
Read more about metric units at:
https://brainly.com/question/2555957
Need help with his geometry question. Find the value of x
Hey there!
Answer: [tex] \Rightarrow \boxed{\sf{x = 25}}[/tex]
[tex] \rightarrow \sf{ \frac{x}{20} = \frac{30}{24} }[/tex]
[tex] \rightarrow \: \boxed{ \sf{24x = 600}}[/tex]
[tex] \rightarrow \: \boxed{ \sf{ \frac{24x}{24} = \frac{600}{24}}} [/tex]
[tex] \rightarrow \boxed{ \bold{\sf{ x = 25}}}[/tex]
Hopes this helps
Find the range, mean, and standard deviation of the data set
{8, 9, 8, 4, 4, 7, 18, 14}
The range is
(Type a whole number.)
The mean is
(Type an integer or a decimal.)
The standard deviation is
(Round the final answer to two decimal places as needed Round all intermediate values to three decimal places as needed.)
Answer:
mean: 8
medium:7
min: 4
max: 18
hope that helps
Question 2
5 pts
You deposit $5000 in an account earning 7% interest compounded
monthly. How much will you have in the account in 10 years?
5 nts
[tex]s = 5000(1.07) {}^{t} [/tex]
[tex]s = 5000(1.07) {}^{10} [/tex]
[tex]s = 5000(1.96715)[/tex]
[tex]s = 9835.756 \: dollars[/tex]
7. Which statement proves that a quadrilateral is a rhombus? A There is no line of symmetry B. All four sides are congruent C. The diagonals bisect each other D. The diagonals are perpendicular
Answer:
B. All four sides are congruent
Step-by-step explanation:
To prove a quadrilateral is equal, prove the four sides to be equalAs the defining feature of a rhombus is that it has 4 equal sidesThe difference of two numbers is 8. What two numbers will minimize the product? The numbers are ___ and ____.
Answer:
-4 and 4
Step-by-step explanation:
Have a good day.
Answer:
answer is -4 and 4 ):(
Step-by-step explanation:
Evaluate 3x2−9
when x=−2
Answer:
3
Step-by-step explanation:
substitute x = - 2 into the expression
3x² - 9
= 3(- 2)² - 9
= 3(4) - 9
= 12 - 9
= 3
Write the percent as a decimal.
78% =
Answer:
0.78
Step-by-step explanation:
78 / 100
note that 100% = 1
100 points and Brainliest for whoever answers this question correctly first.
No, this is not a test.
Yes, I would appreciate the quickest answer possible.
Answer:
[tex]\dfrac{1}{102}[/tex]
Step-by-step explanation:
Average rate of change of function [tex]f(x)[/tex] over the interval [tex]a \leq x \leq b[/tex] is:
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
Given function:
[tex]f(x)=\dfrac{2x-2}{5x-6}[/tex]
Given interval [tex]0\leq x\leq 8[/tex] :
when [tex]x=0[/tex]:
[tex]f(0)=\dfrac{2(0)-2}{5(0)-6}=\dfrac13[/tex]
when [tex]x=8[/tex]:
[tex]f(8)=\dfrac{2(8)-2}{5(8)-6}=\dfrac{7}{17}[/tex]
Therefore, average rate of change:
[tex]\dfrac{f(8)-f(0)}{8-0}=\dfrac{\frac{7}{17}-\frac13}{8}=\dfrac{1}{102}[/tex]