Answer:
Two complex (imaginary) solutions.
Step-by-step explanation:
To determine the number/type of solutions for a quadratic, we can evaluate its discriminant.
The discriminant formula for a quadratic in standard form is:
[tex]\Delta=b^2-4ac[/tex]
We have:
[tex]3x^2+7x+5[/tex]
Hence, a=3; b=7; and c=5.
Substitute the values into our formula and evaluate. Therefore:
[tex]\Delta=(7)^2-4(3)(5) \\ =49-60\\=-11[/tex]
Hence, the result is a negative value.
If:
The discriminant is negative, there are two, complex (imaginary) roots. The discriminant is 0, there is exactly one real root. The discriminant is positive, there are two, real roots.Since our discriminant is negative, this means that for our equation, there exists two complex (imaginary) solutions.
Circle A is shown with a central angle marked 37 degrees and the radius marked 10 inches. Which of the following could be used to calculate the area of the sector in the circle shown above?
π(10in)237 over 360
π(10in)37 over 360
π(37in)210 over 360
π(37in)10 over 360
Answer:
π(10in)237 over 360
Step-by-step explanation:
i took the same test and got it right :)
The area of the sector of the circle is [tex]\frac{100\pi }{360} *37[/tex]
To understand more, check below explanation.
Area of the sector of the circle:To find the area of the sector of circle, we use formula,
[tex]Area=\frac{\pi r^{2} }{360} *\theta[/tex]
where r is radius of circle and [tex]\theta[/tex] is the central angle.
Given that, r = 10 inches, [tex]\theta[/tex] = 37 degrees.
Substitute above values in above formula.
[tex]Area=\frac{\pi (10)^{2} }{360} *37\\\\\\Area=\frac{100\pi }{360} *37[/tex]
Learn more about the sector of the circle here:
https://brainly.com/question/22972014
A geographic compass is used to tell the direction you are facing on the Earth. A compass has a movable needle in it that is a magnet with the north pole painted red. Where that red needle points is the direction north on the Earth. The needle moves because it interacts with the magnetic field of the Earth. Which of the following statements is the most true?
a The needle must be a magnet with only one pole
b The direction the needle points north switches when you change hemispheres
c The geographic North Pole of the Earth is actually the magnetic South Pole
d There must a current running through the compass needle for it to work
at holiday camp the ration of boys to girls
Answer:
Boys :girls!
Step-by-step explanation:
Plz write complete question
how many real solutions does x²+8x+20=0
Answer:
1 solution
Step-by-step explanation:
x = 10 , − 2
Benjamin wants to buy a video game that costs $24, but he only wants to spend 40% of his savings. How much must Benjamin save in order to buy the game?
Answer:
14.4 there sorry for the wait
If 8 is added to five times a number, the result is equal to three times the number. Find the number.
Answer:
8+5x=3x 8= -2x x = -4
Step-by-step explanation:
May I have brainliest please? :)
Answer:
-4
Step-by-step explanation:
5x + 8 = 3x
An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes are committed and they are each deemed independent of each other.
Complete question :
An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes are committed and they are each deemed independent of each other.
a. What is the probability that exactly 3 of these 15 crimes will be solved? b. What is the probability that at most 3 of these 15 crimes will be solved? c. What is the probability that more than 11 of these 15 crimes will be solved?
Answer:
0.17
0.29686
0.000092
Step-by-step explanation:
Given that :
Probability of success (p) = 0.3
Number of cases (n) = 15
1 - p = 1 - 0.3 = 0.7
Usung binomial distribution formula :
a. What is the probability that exactly 3 of these 15 crimes will be solved?
P(x = 3)
Recall:
P(x = x) = nCx * p^x * (1 - p)^(n-x)
P(x = 3) = 15C3 * 0.3^3 * 0.7^12
P(x = 3) = 455 *
P(x = 3) = 0.17
B.) What is the probability that at most 3 of these 15 crimes will be solved?
P( X ≤ 3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)
To save computation time, we can using the binomial probability calculator :
P( X ≤ 3) : 0.00474 + 0.03052 + 0.09156 + 0.17004 = 0.29686
c. What is the probability that more than 11 of these 15 crimes will be solved?
P( X > 11) = P(x = 12) + p(x = 13) + p(x = 14) + p(x = 15)
P( X > 11) = 0.000092
Need helpp right noww
Answer:
151°
Step-by-step explanation:
First, we must identify the geometric figure in the diagram. It has five angles, so it's a pentagon.
It is also important to remember that the sum of all interior angles in a pentagon is 540°. So that means:
5x+2 + 10x-3 + 8x-19 + 13x-31 + 7x-11 = 540
43x-62 = 540
43x = 602
x = 14°
Now, we just plug in value of x into the expression for angle S:
S = 13x-31
S = 13•14-31
S = 151°
minutes to travel a blocked ear eyes it for 10 minutes to travel 16 blocks which value will complete the table
Jacob bought 10 liters of milk at the supermarket. How many gallons of milk did he buy?
Answer:
2 ,but exact is 2.64172
Step-by-step explanation:
Answer:
2.64 gallons
Step-by-step explanation:
10/3.785= 2.64
Which of the following represent the transformation of ABC DBE SELECT ALL THAT APPLY
Answer: the answer is Compostition of Reflection, Rx- axis Rx=5 and Rotation,r (180,c(5,0))
A poster is to have a total area of 500 square centimeters. There is a margin around the edges of 4 cm at the top and 8 cm on the bottom and sides where nothing is printed. Express the printed area A in terms of the width w (in centimeters) of the bottom.
Answer:
A(w) = 692 - 12w - (8000/w)
Step-by-step explanation:
Since it has a total area of 500 cm², it means that;
A = hw
Where;
A is area
h is height
w is width
Thus;
500 = hw
h = 500/w
We are told that There is a margin around the edges of 4 cm at the top and 8 cm on the bottom and sides where nothing is printed.
Thus;
We have height as; (h - 4 - 8) and width as; (w - 8 - 8)
Thus;
Area = (h - 4 - 8) × (w - 8 - 8)
Area = (h - 12) × (w - 16)
We know that h = 500/w
And we want to find the printed area in terms of the width(w)
Thus;
A(w) = ((500/w) - 12) × (w - 16)
A(w) = 500 - 12w - 8000/w + 192
A(w) = 692 - 12w - (8000/w)
Using the area formula, the appropriate expression for the area of the poster is A(w) = - 8000/w - 12w + 692
Total Area = 500 cm²
Area = Length × width
Entire area can be expressed thus :
500 = l × w l = 500 / wArea with print can be expressed thus :
Length with print = (l - 8 - 4) = (l - 12) cm
Height with print = (w - 2(8)) = (w - 16) cm
Area = (l - 12)(w - 16)
Area = (500/w - 12)(w - 16)
Expressing in terms of width :
A(w) = 500 - 8000/w - 12w + 192
A(w) = - 8000/w - 12w + 692
Hence, the required expression is : A(w) = - 8000/w - 12w + 692
Solve the equation 3.6g + 2 = 1.6g + 8.
a. Find the value of g.
Answer:
Step-by-step explanation:
u put the gs with each other by flipping the one that was changed
3.6g-1.6g=8-2
2g=6
g=6/2
g=3
Answer:
g=3
Step-by-step explanation:
3.6g+2= 1.6g+8
-1.6g -1.6g
2g+2= 8
-2 -2
2g=6
6/2=3
g=3
Monica makes tomato sauce with the plants she grows in her garden. she uses 3 basil leaves in her sauce for every 8 tomatoes. she is making a big batch of sauce with 32 tomatoes from her garden. how many basil leaves should monica use in her sauce?
The number of basil leaves required will be 12.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Monica makes tomato sauce with the plants she grows in her garden. she uses 3 basil leaves in her sauce for every 8 tomatoes. she is making a big batch of sauce with 32 tomatoes from her garden.
The number of basil leaves will be calculated as:-
3 basil leaves = 8 tomatoes
1 tomato = 3 / 8 basil leaves
32 tomatoes = ( 32 x 3) / 8 = 4 x 3 = 12
Therefore, the number of basil leaves required will be 12.
To know more about an expression follow
https://brainly.com/question/12733783
#SPJ5
The salaries of pharmacy techs are normally distributed with a mean of $32,000 and a standard deviation of $3,000. If a pharmacy tech is selected at random, what is the probability they make more than $39,000?
Answer:
The probability is [tex]P( X > 39000) =0.01[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = \$ 32000[/tex]
The standard deviation is [tex]\sigma = \$ 3000[/tex]
Generally the probability that they make more than $39,000 is mathematically represented as
[tex]P( X > 39000) = P( \frac{X - \mu }{\sigma } > \frac{39000 - 32000}{3000} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P( X > 39000) = P(Z > 2.33 )[/tex]
From the z table the area under the normal curve to the right corresponding to 2.33 is
[tex]P(Z > 2.33 ) = 0.01[/tex]
So
[tex]P( X > 39000) =0.01[/tex]
The probability they make more than $39,000 is 1%
Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation\\\\Given \ that:\\\\\mu=32000,\sigma=3000.For\ x>39000:\\\\z=\frac{39000-32000}{3000}=2.33[/tex]
From the normal distribution table:
P(x > 39000) = P(z > 2.33) = 1 - P(z < 2.33) = 1 - 0.9901 = 0.0099 = 1%
Therefore the probability they make more than $39,000 is 1%
Find out more at: https://brainly.com/question/15016913
2) Ethan put 5500 into an account compounded weekly. After 3 years he has double the amount. What was his
Interest rate?
Answer:
2.75
Step-by-step explanation:
TEST ALGEBRA DUE TONIGHt 11:59 Pm EST
I only. Have 23 points at the moment I will give you more I promise. I will give 50-75.
PLZZZ HELP 5 questions
They are attached
Answer:
1. 30 output
2. 15
3. 348
4. 6
5. 1st graph
Step-by-step explanation:
-7(-5) -5=
35 - 5 = 30
2(2)²+6(2)-5=
2(4)+12-5=
8+12-5=
15
y/3 + 4=120
y+12=360
y=348
3x-15>3=
3x>18=
x>6=
2x-(6x+7)>-19=
2x-6x-7>-19=
-4x-7>-19=
-4x>-12=
x>3
determine how many terms we need to add in order to find the sum with an error less than 0.0001. If the quantity
Answer:
The answer is "[tex]n \geq 9[/tex] and [tex]error < 10^{-4}[/tex]".
Step-by-step explanation:
[tex]\sum_{n=1}^{\infty} \frac{-1^n}{n 2^n}\\\\[/tex]
Error after [tex]n^{th}[/tex]term:
[tex]|R_n|= |\frac{(-1)^{n+1}}{(n+1) 2^{n+1}}| = \frac{1}{(n+1)2^{n+1}}\\\\\to \frac{1}{(n+1)2^{n+1}} < 0.0001\\\\\to 10000< 2^{n+1} (n+1)\\\\\to n\geq 9 \ \ \text{satisfies the inequality}\\\\\to error< 10^{-4}\\[/tex]
eleanor was curious if triangles DEF and GHI were similiar so she tried to map one figure onto the other using rigid transformations
Answer:
Eleanor was curious if triangles DEF and GHI were similar, so he tried to map one figure onto the other using rigid transformations Eleanor concluded "It's not possible to map triangle DEF on GHI using a sequence of rigid transformations, so the triangles are not similar. ... So the triangles are similar.
Step-by-step explanation:
Answer:
It is B. One more transformation — a dilation — would map \triangle DEF△DEFtriangle, D, E, F onto \triangle GHI△GHItriangle, G, H, I. So the triangles are similar.
Step-by-step explanation:
determine the intersepts of the lines
Answer:
The line crosses the x-axis at 0.3, so the x-intercept is 0.3
The line crosses the y-axis at 0.4, so the y-intercept is 0.4
Write a function to describe the following scenario.
After sprinting, Emilie has a heart rate of 160. As
she cools down, her heart rate falls by 12 beats
per minute. What will her heart rate be after a
certain number of minutes?
y = [?] - [ ]2
Answer:
[tex]r=160-12m[/tex]
Step-by-step explanation:
Heart rate will be represented by [tex]r[/tex], minutes will be represented by [tex]m[/tex].
Here's the equation I came up with:
[tex]r=160-12m[/tex]
We can also rearrange it to look like a point-slope equation. Either way works, it's the same equation.
[tex]r=-12m+160[/tex]
This works because her heart rate is decreasing by a constant value. The initial heart rate is like the y-intercept, while the amount that it decreases by is the slope.
I hope this helps!
The equation is y=160-12t where t is the time in minutes.
What is a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given here, After sprinting, Emilie has a heart rate of 160. As
she cools down, her heart rate falls by 12 beats therefore, we can form the equation as if the time is t minutes of cooling down then we can the heartbeat at a given time as y=160-12t
Hence, the equation is y=160-12t where t is the time in minutes.
Learn more about linear equation here:
https://brainly.com/question/545403
#SPJ2
someone help me with this one :))
Describe the effects on the graph of y = f(x) when y = –f(x + 4)
Answer:
Step-by-step explanation:
Graph is shifted 4 units to the right and reflected over the x-axis.
Help fast
Ian and his friends are renting a cabin that charges an initial fee plus a rate per night. The relationship between the cost and the number of nights is shown in the graph.
What is the initial fee to rent the cabin?
$50, this is the y-intercept
What is the cost per night?
$75, this is the slope
Write an equation to represent the situation.
y = 75x + 50
On a map there are 3 cm between two cities the actual distance between cities is 45 km what is the scale used for the map
Add. Simplify the answer and write it as a mixed number. 7/18 + 2/9 + 5/6
Answer:
1 1/18
Step-by-step explanation:
Answer:
Decimal:1.4simple form:13/9 mixted:1 and 4/9
Step-by-step explanation:
paying 20$ cashapp if you get this correct
Answer:
148⁰
Step-by-step explanation:
M< EDF = M< DFE (because the two angles are equal because the triangle has two equal sides)
2x + 8 = 3x + 4
8 – 4 = 3x - 2x
4=x or x=4
So M< EDF= 2x4+8 = 16⁰
So M< EDF + M< DFE= 32⁰
180⁰- 32⁰ = 148⁰
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
A special 8-sided die is marked with the numbers 1 to 8. It is rolled 20 times with these outcomes:
3 4 5 2 7 1 3 7 2 6 2 1 7 3 6 1 8 3 5 6
The experimental probability of rolling an odd number is ______%, which is ________% more than the theoretical probability.
It has been a good while since I have done this type of work so I am deeply sorry if I am wrong.
The experimental probability of rolling an odd number is around 683.3333%, which is 58.3333% more than the theoretical probability.
Again I am deeply sorry if I am wrong, have a good rest of your day!
The experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.
What is probability?The probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
A special 8-sided die is marked with the numbers 1 to 8.
It is rolled 20 times with these outcomes:
{3 4 5 2 7 1 3 7 2 6 2 1 7 3 6 1 8 3 5 6}
The experimental probability of rolling an odd number is :
⇒ 12/20
⇒ 0.6
The percentage of experimental probability = 0.6 × 100 = 60%
Theoretical probability as:
⇒ 4/8 × 100 = 50%
Difference between experimental and theoretical probability
⇒ 60 - 50 = 10%
Hence, the experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ2
an airplane travels 480 miles in 3 hours with the Wind. the return trip against the wind takes 4 hours. what is the wind speed and the speed of the airplane in still air?
Answer:
Plane speed: 100 & Wind:20
Step-by-step explanation:
Plane speed =x mph
wind speed =y mph
against wind 6 hours
with wind 4 hours
Distance against 480 miles distance with 480 miles
t=d/r against wind -
480 / ( x - y )= 6
6 ( x - y ) = 480
6 x - 6 y = 480 ....................1
480 / ( x + y )= 4.00
4.00 ( x + y ) = 480
4.00 x + 4.00 y = 480 ...............2
Multiply (1) by 4
Multiply (2) by 6 24
we get
24.00 x + -24 y = 1920
24.00 x + 24 y = 2880
48 x = 4800
/ 48
x = 100 mph
plug value of x in (1)
6 x -6 y = 480
600 -6 y = 480
-6 y = 480 -600
-6 y = -120 mph
y = 20
Plane speed 100 mph
wind speed 20 mph
A clothing shop ordered 240 t-shirts. 75% of the shirts sold in the first
week. How many shirts sold in the first week?