Answer:
Your welcome!Step-by-step explanation:
liked- brought
Solve the equation using the quadratic formula. Please help !
Answer:
decimal
x = 5.284 or 0.284
fraction
x = (21.136) / 4 or (1.136) / 4
Step-by-step explanation:
2x² - 10x - 3 = 0
x = [-b ± √b² - 4(a)(c)] / 2(a)
x = {-(-10) ± √[(-10)² - 4(2)(-3)]} / 2(2)
x = [10 ± √(100 + 24)] / 4
x = (10 ± √124) / 4
x = (10 ± 11.136) / 4
x = (21.136) / 4 or (1.136) / 4
x = 5.284 or 0.284
n the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 55.1 inches, and standard deviation of 5.8 inches. A) What is the probability that a randomly chosen child has a height of less than 46.3 inches
Answer:
The probability is 0.0643 to 4 decimal places
Step-by-step explanation:
To calculate this probability, we find the z-score
Mathematically;
z-score = (x-mean)/SD
where in the question;
x = 46.3
mean = 55.1
SD = 5.8
Plugging these values, we have;
z-score = (46.3-55.1)/5.8 = -8.8/5.8 = -1.52
The probability we want to calculate is;
P(z < -1.52)
We can get this answer by using the standard normal distribution table;
Thus from the table, we have;
P(z < -1.52) = 0.064255 which is 0.0643 to 4 decimal places
Lulu Ruby and Emma went shopping went a total of £261. Each of them had different amount of money. Lulu spent 2/3 of her money Ruby spent 1/2 of her money and Emma spent 3/4 of her money. Each of them spent the same amount of money.how much did money did they begin with? please help me on this
Answer:
Lulu= £81
Ruby=£108
Emma=£ 72
Step-by-step explanation:
Let Lulu's money be x
Let Ruby's money be y
Let Emma's money be z
The total money they went shopping with is = £261
So
x+y+z= 261
Lulu spent 2/3 of her money Ruby spent 1/2 of her money and Emma spent 3/4 of her money.
Money spent by each
Lulu= 2/3x
Ruby=1/2y
Emma= 3/4z
Each of them spent the same amount of money.
2/3x= 1/2y= 3/4z
2/3x= 1/2y
x(2*2)/3 = y
4/3(x) = y
2/3x=3/4z
x(2*4)/(3*3)= z
8/9x= z
x+y+z= 261
x+4/3x+8/9x= 261
9x +12x +8x= 2349
29x= 2349
X= 81
4/3(x) = y
4/3(81) = y
108= y
8/9x= z
8/9(81)= z
72= z
A teacher's salary is modeled by the equation
an = 48,000(1.0325)t-1 where t represents years of
experience. How much should this teacher expect to pay in their
5th year of teaching?
A. $54,550.84
B. $56,323.75
Och$58,154.27
D. $52,833.75
Answer:
A. $54,550.84
Step-by-step explanation:
48,000(1.0325)^4
48,000(1.136475928)
54,550.84455
The area of the triangle shown is 40.0 cm2.
?
12.5 cm
* not drawn to scale
What is the height of the triangle?
Answer:
The height of the triangle is 6.4cm
Step-by-step explanation:
- If the triangle has a side that measures 12.5cm, it means that two of its sides are equal in length.
Which is equivalent to the description of an isosceles triangle.
To find the height, use the equation of the area.
Area = (Base * height) / 2
- We know the value of the area and its shorter side that could be the base.
40cm = (12.5 cm * h) / 2
- Clearing the height would give that:
80cm / 12.5cm = h
h = 6.4cm
The height of the triangle is 12.5cm
A triangle is a plane figure with edges that are all straight with three sides and three angles.
The formula for calculating the area of a triangle is;
[tex]\mathbf{Area = \dfrac{1}{2}\times Base \times Height}[/tex]
Given that:
The area = 40 cm²
Since the diagram for the triangle is not given;
Let us assume the base of the triangle = 12.5 cm, provided we are to determine the height.∴
Using the formula form above:
[tex]\mathbf{40.0 cm^2 = \dfrac{1}{2}\times 12.5 cm \times Height}[/tex]
[tex]\mathbf{40.0 cm^2 \times 2 = 1\times 12.5 cm \times Height}[/tex]
[tex]\mathbf{80.0 cm^2 = 12.5 cm \times Height}[/tex]
[tex]\mathbf{Height = \dfrac{80.0 cm^2}{ 12.5 cm} }[/tex]
Height of the triangle = 6.4 cm
Therefore, we can conclude that the height of the triangle = 6.4 cm
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Will mark the brainliest
Please answer this im desperate :(((
Answer:
Last option
Step-by-step explanation:
I think it would be the last option because when you reflect over the x-axis, the x-axis switched signs.
So, -8 would be 8 , -7 would be 7, and 3 would be negative 3.
Dont think the y-axis value would change..
Hope this helps!
(If this was good..please give brainly.)
Answer:
Option C
Step-by-step explanation:
They are the same coordinates but exchanged/reflected places
please gimme brainiest ;(
If you’re pro at geometry, could you please help me with this? :)
Answer:
From the given information, the value of n is 1. By using that information, the measure of JL is 29.
Step-by-step explanation:
For this problem, we have to not only find the value of n but, we also have to find the value of JL. We are given information in this problem.
ΔABC ≅ ΔJKL
AC = 10n + 19
JL = 9n + 20
From this information, we can conclude that AC and JL are congruent meaning they are equal in measure. So, let's set up an equation where they set equal to each other.
10n + 19 = 9n + 20
Subtract 9n from 10n.
n + 19 = 20
Subtract 19 from 20.
n = 1
So, the value of n is 1. We can use this to find the value of JL.
JL = 9(1) + 20
JL = 9 + 20
JL = 29
Answer:
JL is equal to 29
Step-by-step explanation:so JL= 29 is the answer
Mr. Monasterio ran to The Burrito Barn at 10mph. He ate too many burritos and slowed to 6 mph on the way home. Find the time going to The Burrito Barn if the time coming back took 2 hours more than the time going. Don't forget to include units. PLS HELP RIGHT NOW
Answer:
1 h with 20 min
Step-by-step explanation:
10-6 = 100-60
= 40, in percentages is 40%, 40% minus of 2 h is...
if 50% minus is 1 h, 40% is 1 h with 20 min or simply...
120 min - 40% = 120 - 40
120 - 40 = 80, 80 min are 1 h and 20 min
Hope this helps
WILL GIVE BRAINIEST, THANKS AND 5 STARS PLS SOLVE Angie walks ⅓ mile to school and ⅓ mile home each day. If she gets a ride each way to school half the time, how many miles does she walk to and from school each school year? (Hint: You can assume there are 180 days in the school year)
Answer:
60 miles
Step-by-step explanation:
all you do is 1/3 + 1/3 and get 2/3. then times that by 180. You get 120. divide that by 2 because half the time she gets a ride and you get 60.
Four runners are training for long races. Noah ran 5.123 miles, Andre ran 6.34 miles, Jada ran 7.1 miles, and Diego ran 8 miles. What is the total running distance of the four runners?
The total miles run by four runners is 26.563 miles.
What are some alternative names for arithmetic operations?Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.
Given, Four runners are training for long races. Noah ran 5.123 miles, Andre ran 6.34 miles, Jada ran 7.1 miles, and Diego ran 8 miles.
Therefore, The total number of miles for the dour runners is the sum of the individual miles run by each player which is,
= (5.123 + 6.34 + 7.1 + 8) miles.
= 26.563 miles.
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Help me please I really need help!!!!!!
Answer:
the tax on a $90,000 salary is: $5175
Step-by-step explanation:
Given that the person earns a $90,000 annual salary, you need to use the last of the brackets , the one that reads "17,001 and up". That is, you need to find the 5.75% of the $90,000 in order to determine the taxes owed.
Recall that 5.75% in math terms is: 5.75/100 = 0.0575
Then the 5.75% of $90,000 is mathematically calculated as the product :
0.0575 x 90,000 = 5175
Therefore the tax on a $90,000 salary is: $5175
A café offers a lunch special that consists of a sandwich, salad, chips, and a drink. There are 4 sandwich choices, 3 salad choices, 2 chip choices, and 5 drink choices. How many different lunch specials can be ordered?
Answer:
4
Step-by-step explanation:
there are only for sandwiches.
which of the following is a true statement of the figure
Answer:
Step-by-step explanation:
The statement that is true for the given figure will be AD/DC = AB/CB.
So the correct option is A.
What is a triangle?A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.
The triangle ABC is divided into two triangle by a median DB that are;
Triangle ADB and Triangle ADC
So here the proportion form as;
AD/DC = AB/CB.
Therefore, The statement that is true for the given figure will be AD/DC = AB/CB.
So the correct option is A.
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How to calculate the decimal form of a given fraction. Please help ASAP mam/sir.
In a fraction, the fraction bar means divided by. So to find the decimal form equivalent of a fraction like 1/4 you need to solve the math problem 1 dived by 4.
1 ÷ 4= 0.25
James walks two miles from her door to the park, then returns home to her door.
Perimeter is the sum of the sides of a shape. If a triangle has sides of 12, 27, and 38, what is its perimeter?
Answer: 77
Add the three given values to get that result above.
PLEASE HELP!!!!!!!!!!
Answer:
11446
Step-by-step explanation:
= [(12*9) - 1 ]^2-3
=[108-1]^2-3
=107^2-3
=11449-3
=11446.
For what value of a is the equation: (x + 7)2 = (x − 7)2 + ax an identity? (An identity is an equation in which any number is solution. For example, x + 3 = 3 + x is an identity.)
Answer:
Step-by-step explanation:
Hello, we need first to develop and then identify the like terms.
[tex](x + 7)^2 = (x-7)^2 + ax\\\\(x+7)^2-(x-7)^2=ax\\\\(x+7-x+7)(x+7+x-7)=ax\\\\14*2x=ax\\\\28x=ax[/tex]
So a = 28.
Thank you
Find the absolute value. |-6| |-6|=
Answer:
0
Step-by-step explanation:
6-6 equals 0
Answer:
Step-by-step explanation:
The absolute value of |-6| is 6
In a physics class, the teacher proposes that the velocity of a car in miles per hour and the stopping distance in feet are represented by inverse functions. Assuming this is true, which graph includes a pair of functions for a specific velocity function and the corresponding stopping distance that can be verified as inverses?
Answer:
the answer is b
Step-by-step explanation:
2nd graph includes a pair of functions for a specific velocity function and the corresponding stopping distance that can be verified as inverses.
The answer is option B.
Which statement verifies that f(x) and g(x) are inverses of each other?The test to verify if a function f is the inverse of another function g is given by using the composition of the functions such as this, f(g(x))= x. Therefore, to answer your question, f(g(x))=x is saying f is the inverse of g. f(g(x))=x is saying f is the inverse of g but g is not the inverse of f, g(f(x))≠x.
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HELP ASAP ROCKY!!! will get branliest.
What rotation about the origin is equivalent to R−200°?
Answer:
Answer:
160°
Step-by-step explanation:
If you add or subtract a full 360° rotation (or multiple of 360°) you get the same rotation.
Add 360° to -200°:
-200 + 360 = 160
Ron made a mistake casting a spell, and 25 frogs start to appear each second in the classroom. After 10 seconds, Hermione cast another spell, and 35 frogs start to disappear as 25 frogs appear each second. For how many seconds was there at least one frog in the classroom?
bhai ap apne ap kar lo ye question
Assume the random variable X is normally distributed with mean and standard deviation . Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(X)
Answer:
The answer is attached for better presentation of formulas.
Step-by-step explanation:
The areas under the normal curve between any two ordinates at X=a and X=b equals the probability that the r.v X lies in the interval [a,b]. that is P (a ≤ X ≤ b) = ∫_a^b▒1/(σ√2π) e^((-(x-u))/(2σ^2)) dx
which is represented by the area of the shaded region. (figure1)
But integrals of this type cannot be solved by ordinary means. They are however evaluated by the methods of numerical integration, and numerical approximations for some function have been tabulated for quick reference.
The table of areas under the unit normal curve gives the areas (probabilities) for the standard normal distribution from the mean, z=0 to a specified value of z say z0. Since normal curves are symmetrical therefore P (0 to z) = P (0 to –z). That is why the areas for negative values of z are not tabulated. Hence to use the table of areas for the normal distribution, the values of the r.v X in any problem are changed to the values of the standard normal variable Z and the desired probabilities are obtained from the table.
Thus to find P (a <X<b) we would change X into Z as follows
P (a <X<b) = P ((a-u)/σ ≤ (X-u)/σ ≤ (b-u)/σ )
= P ((a-u)/σ ≤ Z ≤ (b-u)/σ )
Where (a-u)/σ and (b-u)/σ are the z- values of the standard normal variable Z.
In practice, a normal curve sketch for the given problem, showing under the X scale, a scale for the corresponding values of z will help in solving problem. (Figure 2)
2a2 b3 and -4a2 b3 are like terms.
True
False
Answer:
I believe it would be TRUE but sorry if I'm wrong!
Step-by-step explanation:
Answer: True
Step-by-step explanation:
I got it right on my lesson.
A rancher wishes to build a fence to enclose a rectangular pen having area 24 square yards. Along one side the fence is to be made of heavy duty material costing $6 per yard, while the remaining three sides are to be made of cheaper material costing $3 per yard. Determine the least cost of fencing for the pen.
At the point of the least cost of fencing the cost function has a zero
derivative.
The least cost of fencing for the pen is $72.00Reasons:
Shape of the pen = Rectangular
Area of the pen = 24 yd²
Cost of material on one side of the fence = $6 per yard
Cost of material on the remaining three sides = $3 per yard
Required:
The least cost of fencing the pen
Solution:
The least cost is a minimum value of the cost function
Let L represent the length of the fence and let W represent the width of the fence
We have;
The perimeter of the fence = 2·L + 2·W
The area of the pen, A = L × W = 24
One of the length, L, of the fence costs $6 per yard and the other length L,
of the opposite side costs $3 per yard.
The cost of fencing, C 3 × 2·W + 3 × L + 6 × L = 6·W + 9·L
C = 6·W + 9·L
[tex]\displaystyle W = \mathbf{\frac{24}{L}}[/tex]
Which gives;
[tex]\displaystyle C = 6 \cdot \frac{24}{L} + 9 \cdot L = \frac{144}{L} + 9 \cdot L = \mathbf{\frac{144 + 9 \cdot L^2}{L}}[/tex]
The shape of the above function is concave upwards.
At the minimum value, we have;
[tex]\displaystyle \frac{dC_{min}}{dL} = \frac{d}{dL} \left(\frac{144}{L} + 9 \cdot L\right) = 9 - \frac{144}{L^2} = 0[/tex]
Which gives;
[tex]\displaystyle \frac{144}{L^2} = 9[/tex]
[tex]\displaystyle \frac{144}{9} = L^2[/tex]
By symmetric property, we have;
[tex]\displaystyle L^2 = \frac{144}{9}[/tex]
[tex]\displaystyle L = \sqrt{ \frac{144}{9}} = \frac{12}{3} = 4[/tex]
The length of the fence that gives the least cost, L = 4 yards
[tex]\displaystyle At \ L = 4, \ W = \frac{24}{4} = 6[/tex]
The width of the fence at least cost, W = 6 yards
Cost, C = 6·W + 9·L
Least cost, [tex]C_{min}[/tex] = 6 × 6 + 9 × 4 = 72
The least cost of the fencing, [tex]C_{min}[/tex] = $72.00
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Warmup Day 1
(5^2+ 4) x 5 - 2 + (-4)
Please work this Problem out step by step
x Clear
Undo
Answer: 139
Step-by-step explanation:
(5^2+4)*5-2+(-4)
(25+4)*5-2+(-4)
29*5-2-4
145-2-4
139
yo someone quickly help me with this?
what is the real part of 4-5i
a. 5
b. 4
c. -5i
d. -5
PLEASE HELP!
Answer:
4Step-by-step explanation:
A complex number in its rectangular form is expressed as x+iy where x is the real part of the complex number and y is the imaginary because it is attached to the imaginary number i.
Given the complex number 4-5i, comparing the complex number with x+iy
4 = x and iy = -5i
Hence x = 4 and y = -5.
Since x is the real part of the complex number x+iy, hence 4 will be the real part of the complex number 4-5i based on comparison.
The projected worth (in millions of dollars) of a large company is modeled by the equation w=
256(1.09)t The variable t represents the number of years since 2000. What is the projected annual
percent of growth, and what should the company be worth in 2008?
Complete Question
The projected worth (in millions of dollars) of a large company is modeled by the equation w =256(1.09)^t .
The variable t represents the number of years since 2000. What is the projected annual
percent of growth, and what should the company be worth in 2008?
Answer:
a) The projected annual percent growth = 9%
b) The company's worth in 2008 = 510.09603627(in million dollars) or $510,096,036.27
Step-by-step explanation:
a) The projected annual percent growth
From the formula of company's worth =
w = 256(1.09)^t
1.09 - 1 = 0.09
Converting decimal to percentage
= 0.09 × 100
= 9%
b) The projected worth of the company is represented as:
w= 256(1.09)^t
t = 2000 - 2008 = 8 years
w = 256(1.09)^8
w = 510.09603627(in million dollars)
or 510.09603627 × 1,000,000
= $510,096,036.27