Answer:
A. x = -2,500.
Step-by-step explanation:
sqrt(-4x) = 100
(sqrt(-4x)^2 = (100)^2
-4x = 10,000
4x = -10,000
x = -2,500
Check your work...
sqrt(-4(-2,500))
= sqrt(4 * 2,500)
= sqrt(10,000)
= plus or minus 100
A. x = -2,500 is your answer.
Hope this helps!
Answer:
The answer would be A, x=-2500
Explanation:
To remove the radical on the left side of the equation, square both sides of the equation.
√ − 4 x^ 2 = 100^ 2
Simplify each side of the equation.
− 4 x = 10000
Divide each term by
−4
and simplify.
x = -2500
find the value of x.
Answer:
A. 7
Step-by-step explanation:
The problem is poorly specified, so technically cannot be answered with a specific number.
If we assume the "horizontal" lines are all parallel, then the one marked 21-x has a length that is the average of the other two:
(17 +11)/2 = 21 -x
14 = 21 -x
x = 21 -14 = 7
The value of x is 7.
_____
The attachment shows what happens when the lines are not parallel. The range of the midline lengths is from 3 to 14 for the segment lengths shown.
write a compound inequality that the graph could represent
Answer:
second option
Step-by-step explanation:
Hey loves!!! Can any of you lovely people help me with my math?
Answer:
SAA or AAS
Step-by-step explanation:
∠BAC = ∠BCA Given
∠BDA = 90° and ∠BDC = 90° Given
∠BDA = ∠BDC All 90° angles are congruent
BD = DB Reflexive property
ΔADB = ΔCDB SAA
plz help me .................
the price of a jacket was slashed from RS 960 to RS 816 .then the rate of discount offered is 10 percentage
Answer:
15%
Step-by-step explanation:
Question:
The price of a jacket was slashed from Rs.960 to Rs.816.Then the rate of discount offered is
Solution
Original price= Rs.960
Discount price= Rs.816
Difference in price=Original price - discount price
=Rs. 960 - Rs. 816
=Rs. 144
Percentage discount= Difference in price / Original price × 100
=Rs. 144 / Rs. 960 × 100
=0.15 × 100
=15%
The percentage discount =15% NOT 10% as you have written
A life insurance company sells a $100,000 one year term life insurance policy to a 30-year old male for $475. The probability that the male survives the year is .999172. Find the expected value for the insurance company.
Answer:
The expected value for the insurance company is $392.20.
Step-by-step explanation:
The expected value of a random variable, X is:
[tex]E(X)=x\cdot P(X)[/tex]
It is provided that a life insurance company sells a $100,000 one year term life insurance policy to a 30-year old male for $475.
The probability that the male survives the year is, P(S) = 0.999172.
Then the probability that the male does not survives the year is:
P (S') = 1 - P (S)
= 1 - 0.999172
P (S') = 0.000828
The amount the company owes the male if he survives is, S = $475.
The amount the company owes the male if he does not survives is,
S' = $475 - $100,000 = -$99525.
Compute the expected value for the insurance company as follows:
[tex]E(\text{Insurance Company})=S\cdot P(S)+S'\cdot P(S')[/tex]
[tex]=(475\times 0.999172)+(-99525\times 0.000828)\\=474.6067-82.4067\\=392.20[/tex]
Thus, the expected value for the insurance company is $392.20.
If a cone is 5 meters tall and has a radius of 3 meters, What is its volume? 15π m3 60π m3 45π m3 30π m3
Answer:
V = 15 pi m^3
Step-by-step explanation:
The volume of a cone is
V = 1/3 pi r^2 h
The radius is 3 and the height is 5
V = 1/3 pi ( 3)^2 *5
V = 15 pi m^3
Answer:
15 pi m3
Step-by-step explanation:
WILL MARK BRAINLIEST!!! PLZ HELP!!!
Answer:
x = -5.
Step-by-step explanation:
The solutions of the equation is when the two functions intersect. That is at (-5, 5.5), so where x = -5.
Hope this helps!
Answer:
x = -5
Step-by-step explanation:
f(x) = g(x) has more than one solution, because they intersect at two points.
The question asks for one solution of f(x) = g(x).
One point where they intersect is at (-5, 5.5), as shown in the graph.
(x , y)
x = -5, y = 5.5
Ha mush and Harry work as plumbers Harry earns a dollar more than more than 5/4 the amount gaming earns per hour the amount Harry earns per hour is $2 less than 7/5 the amount Hamish earns per hour how much does each of them earn per hour
Answer:
Hamish's earning = $20
Harry's earning = $26
Step-by-step explanation:
Given the following :
Let Harry's earning per hour = x
Let Hamish earning per hour = y
Harry earns a dollar more than more than 5/4 the amount hamish earns per hour;
Therefore,
x = 5/4y + 1
x - 5/4y = 1 - - - - (1)
the amount Harry earns per hour is $2 less than 7/5 the amount Hamish earns per hour
x = 7/5y - 2 - - - - (2)
Substituting (2) into (1)
7/5y - 2 - 5/4y = 1
7/5y - 5/4y = 1 + 2
7/5y - 5/4y = 3
Taking the L. C. M
(28y - 25y) / 20 = 3
28y - 25y = 60
3y = 60
y = 20
Substitute y = 20 into (1)
x - 5/4(20) = 1
x - 100/4 = 1
x - 25 = 1
x = 1 + 25
x = 26
y = Hamish's earning = $20
x = Harry's earning = $26
8³=512 indique o expoente
ABCD is a square. Square A B C D is shown. A diagonal is drawn from point A to point C. The measure of angle B A C is question mark. What is the measure of angle BAC? 30° 45° 60° 90
Answer:
45°
Step-by-step explanation:
Since the diagonal cuts the square into two triangles, the angles b, a, and , c all add up to 180°. Because the shape is a square we know that one of the angles is right/90° meaning the two remaining angles are 45°. Angles a, and c had the diagonal drawn through so those two angles are each 45° and b is 90°, and since they are asking for bac we know that they want the middle angle, i.e angle A.
Since ABCD is a square, and AC is the diagonal of the square, therefore, the measure of angle BAC would be: B. 45°.
What is a Square?A square is a quadrilateral that has four interior angles of 90 degrees each, and also has four equal sides.The diagonal of a square bisects each vertex of the square into equal halves.Thus, since ABCD is a square, and AC is the diagonal of the square, therefore, the measure of angle BAC would be: B. 45°.
Learn more about a square on:
https://brainly.com/question/24579466
Una estudiante gráfica muestras de mayolicas que desea comprar su papa para poner en el piso de la ducha. Las representaciones gráficas de 3/4 corresponde a la parte coloreada en cada una de las mayolicas ¿Son equivalentes las fracciones que representan la parte coloreada de cada muestra? ¿Cómo verifico que 2 fracciones son equivale?
If you have 2345 and you multiple it by 2 divide it by 6 and add on 22299 what will the answer be?
Answer:
69242/3 or 23080.666667
Step-by-step explanation:
2345 is multiplied by 2. Then the result is divided by 6. Then 22299 is added to the final result.
2345 × 2
= 4690
4690/6
= 2345/3
2345/3 + 22299
= 69242/3
Which function is graphed below?
Answer:
The answer is f(x) = -sin(x) as you can see in the graph below
Step-by-step explanation:
How to find and solve this ?
Shape A = ______ units
Shape B = _______ units
Answer:
A = 12
B = 14
Step-by-step explanation:
You essentially have to count the number of squares that are filled in.
Shape A has 12 units filled in.
Shape B has 14 units filled in.
Which shapes can be made from a planar cross section of a triangular pyramid? More than one can be correct: trapezoid, pentagon, isosceles triangle, rectangle, hexagon, scalene triangle, square, decagon, or equilateral triangle
Answer:
Triangle in isosceles, scalene or equilateral forms and
quadrilateral in trapezoid, rectangle or square forms
Step-by-step explanation:
Refer to pictures attached
Shapes can be formed are:
Trapezoid,when perpendicular to base
Rectangle or square,when angle cross section to base
Isosceles triangle,when base is isosceles triangle and parallel cross section to base,
or angle cross section
Scalene triangle,when base is scalene triangle and parallel cross section to base,
or angle cross section
Equilateral triangle,when base is equilateral triangle and parallel cross section to base,
or angle cross section
Determine the inequality represented by the following diagram
factor completely
1 + 12x + 36x^2 =_____
Answer:
(6x + 1)^2.
Step-by-step explanation:
1 + 12x + 36x^2
= 36x^2 + 12x + 1
= (6x + 1)(6x + 1)
= (6x + 1)^2.
Hope this helps!
Answer:
[tex](6x+1)^2[/tex]
Step-by-step explanation:
find x value A. 8.96 B. 10.83 C. 5.10 D. 6.09
Answer:
6.09
Step-by-step explanation:
in ADB
[tex]a ^{2} + b^{2} = c ^{2} [/tex]
to get hypotenuse=8.96
this is height of ABC so use tan
[tex] tan(55.8)= 8.96 \x[/tex]
x=6.09
Answer:
D
Step-by-step explanation:
To find x, we first to to find the line between A&B.
Use the pythagoram theorem to do this A^2+B^2=C^2
4.9^2+7.5^2=C^2
80.26=C^2
square root each side
Side AtoB=8.958
We now know the side length of the opposite and adjacent for the angle C. So according to SohCahToa we need to use Tangent.
So Tan(55.8)=(8.958/x)
We you solve for x, the answer is 6.088
State if the gives angles are coterminal.
Answer:
Below
Step-by-step explanation:
Coterminal angles are angles with same terminal angles
Mathematically speaking these angles should have the same coordinates in a trigonomitrical circle
●●●●●●●●●●●●●●●●●●●●●●●●
Angles like 0° and 360° are coterminal since to we made a spin from 0° to 360°
For two angles A and B to be coterminal they should verify this relation :
A = B + k*360° with k an integer
So A-B = k*360°
●●●●●●●●●●●●●●●●●●●●●●●●
7) :
35° and 395°
395° -35° = 360°
360° is a multiple of 360° so these angles are coterminal
8) :
140° and 860°
860° - 140° = 720°
720° is a multiple of 360°
720 = 360° × 2
9) :
350° and -710°
350 -(-710) = 350+ 710 = 1060°
1060° isn't a multiple of 360°
So these angles aren't coterminal
10) :
130° and -230°
130 -(-230) = 130+230 = 360°
So these angles are coterminal
11) :
30° and -690°
30 -(-690) = 30+ 690 = 720°
720 is a multiple of 360 so these angles are coterminal
12) :
210° and 10°
210-10 = 200
200 isn't a multiple of 360 so these angles aren't coterminal
What is the sum of 3x to the second power +2x-1
Answer:
[tex]3x^2+2x+1[/tex]
Step-by-step explanation:
Sum means to add and second power means that the exponent is "2". So, the expression is:
=> [tex]3x^2+2x+1[/tex]
It cannot be simplified further.
Select all the sentences that can be represented by the equation 25+p=38 A.25 is more than 38 is p B.25 times as much as p is 38 C.38 is p more than 25
Answer:
Option C: 38 is p more than 25
Step-by-step explanation:
the equation 25 + p = 38
can be read as 38 is 25 plus p units, or similarly ;
38 is p units more than 25.
Therefore from the three sentences you are showing, only the last one (option C) is the correct one.
The factor tree for 3,025 is shown. A factor tree starts with 3,025 at the top. 3,025 branches down to 5 on the left and 605 to the right. 605 branches down to 5 on the left and 121 on the right. 121 branches down to 11 on the left and 11 on the right. What is the simplest form of StartRoot 3,025 EndRoot?
Answer:
(5^2)(11^2)
Step-by-step explanation:
Taking all the factors in the left hand side of the factor tree, we have
5,5,11,11
5 twice
5^2=25
11 twice
11^2=121
The factor of 3,025=(5^2)(11^2)
Alternatively
3025÷5=605
605÷5=121
121÷11=11
11÷11=1
We have prime number 5 as divider twice and prime number 11 as a divider twice
Therefore,
5^2*11^2=3,025
Check
(5^2)(11^2)
=(25)(121)
=3,025
Answer:
c
Step-by-step explanation:
1. In your own words please describe a Relations vs. Function
2. please describe the mathematical order of operation(photo attached)
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
1. Relations are the set of y (output) and x (input) values that are related. A function is when each input has a relation with one output.
2. The mathematical formula is the formula of Pythagoras theorem. Where the length c (hypotenuse) is equal to the square root of the sum of the legs squared.
Please answer ASAP. A baseball is hit upward from a platform that is m high at an initial speed of 29m/s. The approximate height of the baseball, h meters, after x seconds is given by the equation: h - 1= -5x^2 + 29x a) determine the time period for which the baseball is higher than 18m. Give the answer to the nearest tenth of a second. Explain your strategy. b) What are the restrictions on the domain and range of the related function?
Answer:
a) about 0.7 seconds to 5.1 seconds.
b) Listed below.
Step-by-step explanation:
h - 1 = -5x^2 + 29x
h = -5x^2 + 29x + 1
a) We will find the amount of time it takes to get to 18 meters.
18 = -5x^2 + 29x + 1
-5x^2 + 29x + 1 = 18
-5x^2 + 29x - 17 = 0
We will then use the quadratic formula to find the answer.
[please ignore the A-hat; that is a bug]
[tex]\frac{-29±\sqrt{29^2 - 4 * -5 * -17} }{2 * -5}[/tex]
= [tex]\frac{-29±\sqrt{841 - 340} }{-10}[/tex]
= [tex]\frac{-29±\sqrt{501} }{-10}[/tex]
= [tex]\frac{-29 ± 22.38302929}{-10}[/tex]
= [tex]\frac{-6.616970714}{-10}[/tex] and [tex]\frac{-51.38302929}{-10}[/tex]
= 0.6616970714 and 5.138302929
So, the time period for which the baseball is higher than 18 metres ranges from about 0.7 seconds to 5.1 seconds.
b) Restrictions on the domain and range of the function are that the domain and range can never be negative, since time cannot be negative, and height cannot be negative. The height cannot exceed the vertex of the parabola, since that is the highest the ball will ever go. It cannot exceed that height since gravity will cause the ball to fall down.
Hope this helps!
Eparture time of a car is 0540 hours and it traveled for 45 minutes before it reached its destination. At what time did the car arrived at its destination : *
Answer:
The time at which the car arrives at its destination is 0625 hours or 6: 25 am or 25 minutes past 6.
Step-by-step explanation:
Departure time = 0540 Hours means 5: 40 am or 40 minutes past 5 in the morning.
Now add 45 mins
Hours : Minutes
5: 40
+ 45
5 : 85
But 1 hour contains 60 minutes so 85 - 60 gives 25 minutes . those 60 minutes = 1 hour are carried over the hours and added .
Hours : Minutes
1
5: 40
+ 45
6 : 25
The time at which the car arrives at its destination is 0625 hours or 6: 25 am or 25 minutes past 6 in the morning.
Draw a diagram of this statement,
Fifteen thousand dollars was raised by the booster club. This was two thirds of
the goal.
Use your diagram to determine the percent by which the booster club fell short of their goal
Answer:
The percentage by which the booster club fell short is 33% as shown on the chart
Step-by-step explanation:
To represent the given data pictorially, a pie chart is suitable
The circumference of the pie chart will represent the amount to be raised by the booster club and a sector of the circle which is two-thirds of the circumference represents the amount raised
Given that the amount raised = 2/3×Goal = $15,000, we have;
We represent the amount raised as a sector of the circle as follows;
Sector angle = 2/3×360° = 240°
Total sector of goal amount = Entire circle = 360°
Amount club fell short = 360° - 240° = 120°
The goal amount = 3/2 × $15,000
Percentage by which the club fell short = 120/360×100 = 1/3×100 = 33.33%
select the coordinates of two points on the line y = -2
Answer: (0, -2) & (1, -2)
Step-by-step explanation:
There are an infinite number of coordinates on y = -2.
The coordinates can have any x-value, but must have -2 for the y-value.
what the formula of speed
Answer:
The formula for speed is s=(distance traveled)/(time elapsed)
Answer:
[tex]\huge \boxed{S =\frac{d }{t} }[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
The formula to find speed is as follows:
[tex]\Longrightarrow \ \ \displaystyle \sf speed =\frac{distance \ travelled }{time \ taken}[/tex]
[tex]\Longrightarrow \ \ \displaystyle S =\frac{d }{t}[/tex]
[tex]\rule[225]{225}{2}[/tex]
(pic inside) What is the approximate value of the function at x = 1?
Answer: -2
Step-by-step explanation:
When x = 1, y = -2.
Hope it helps <3
Please help me it will mean a lot
Answer:
A) a=25
B) b=14
Step-by-step explanation:
A) a/5+3=8
First you need to subtract 3 from both sides.
(a/5+3)-3=(8)-3
Then simplify
a/5=5
Multiply both sides by 5
(a/5)*5=(5)*5
Then simplify
a= 25
B )3b/7-1=5
First you need to add 1 to both sides
(3b/7-1)+1=(5)+1
Simplify
3b/7=6
Multiply both sides by 7
(3b/7)*7=(6)*7
Simplify
3b=42
Divide both sides by 3
(3b)/3=(42/3)/3
Simplify
b= 14
(Brainliest???) :P