Answer:
no real solutions
Step-by-step explanation:
For a quadratic in standard form : y = ax² + bx + c : a ≠ 0
The value of the discriminant
Δ = b² - 4ac informs about the nature of the solutions
• If b² - 4ac > 0 then 2 real and distinct solutions
• If b² - 4ac = 0 then 2 real equal solutions
• If b² - 4ac < 0 then no real solutions
For y = 3x² + 7x + 6
with a = 3, b = 7, c = 6, then
b² - 4ac = 7² - (4 × 3 × 6) = 49 - 72 = - 23
Since b² - 4ac < 0 the equation has no real solutions
Earth is approximately 9.3 × 107 miles from the sun. Saturn is approximately 8.87 × 108 miles from the sun. About how much farther is Saturn from the sun than Earth is?
Answers-
A)7.94 × 10 7 miles
B) 7.94 × 10 8 miles
C) 4.3 × 10 7 miles
D) 4.3 × 10 8 miles
Answer:
B) 7.94 × 10 8 miles
Step-by-step explanation:
Given
Distance between Earth and sun=E=9.3* 〖10〗^7 Miles
Distance Between Saturn and Sun=S=8.87* 〖10〗^8 Miles
In order to find the distance between Earth and Saturn, we have to subtract the distance between earth and sun from the distance between Saturn and sun. So
Distance between Earth and Saturn=S-E
=(8.87* 10^8 )-( 9.3* 10^7 )
As the distances are in scientific notation, to perform subtraction, the powers of 10 in both quantities have to be same, so
=(8.87*10* 10^7 )-(9.3* 10^7 )
=(88.7* 10^7 )-(9.3* 10^7)
=79.4* 10^7 Miles
It can also be written as:
Distance between Earth and Saturn=7.94* 10^8 Miles ..
What is the surface area of the prism?
To get the answer type 2•4•3+2•4•2+2•3•2
in to a calculator And you’ll get “52m”
Answer:
52 m²
Step-by-step explanation:
The prism has 6 rectangular faces.
Opposite faces are congruent, that is
top/bottom, front/back and sides
A = 2(4 × 3) + 2(3 × 2) + 2(4 × 2)
=( 2 × 12) + (2 × 6) + (2 × 8)
= 24 + 12 + 16
= 52 m²
Can someone please help me out
Answer:
B
Step-by-step explanation:
The distance of a run compared with the number of times around a track.
The question asks for what is most likely to have a constant rate of change. This means that for every x, there is about the same y, as a constant rate of change means that there is a consistent slope, which is the x and y value. In real world terms, it means that you can expect every one value to change however much without changing randomly.
For example, when you buy a pizza, you expect a pizza to get you 8 slices. When you get two, you expect to get 16, 3 gets you 24 slices, and so on. This expectation is based off the constant rate of change, as you get 8 slices for each pizza. The slices would be modeled as y and the pizza would be modeled as x in mathematical terms in this situation.
Because we know that the track's distance doesnt change with every lap, we can expect it to have a constant rate of change. This concept is the same as the pizza as discussed earlier. Every lap would get her a certain amount of miles, and every other lap would increase the same amount.
Find a unit vector in the direction of u and opposite of u
Just divide [tex]\mathbf u[/tex] by its magnitude:
[tex]\|\mathbf u\|=\sqrt{5^2+6^2+(-1)^2}=\sqrt{62}[/tex]
So a unit vector in the direction of [tex]\mathbf u[/tex] is
[tex]\dfrac{\mathbf u}{\|\mathbf u\|}=\dfrac5{\sqrt{62}}\,\mathbf i+\dfrac6{\sqrt{62}}\,\mathbf j-\dfrac1{\sqrt{62}}\,\mathbf k[/tex]
Then multiply this by -1 to get a unit vector pointing in the opposite direction.
To find the unit vector in the direction of a vector u, divide each component by its magnitude. For a vector u=i+j, the unit vector direction is ½(i+j), and the opposite direction is ½(-i-j).
Explanation:To find a unit vector in the direction of a given vector u, we must first calculate the magnitude (or length) of u and then divide each component of u by that magnitude. Let's assume the vector u has components i and j. The magnitude of u, denoted as |u|, is given by the square root of the sum of the squares of its components, which is √(i² + j²). The unit vector in the direction of u is then the vector u divided by its magnitude, Û = (i/|u|, j/|u|).
In the case of the vector u = i + j, the magnitude is √(1² + 1²) = √2, and so the unit vector in the direction of u is Û = ½(i + j). Conversely, the unit vector in the direction opposite to u would be Û = ½(-i - j) since we are simply negating each component of the unit vector in the direction of u.
Please help me out!! Due tomorrow!!
Answer:
Step-by-step explanation:
Head: 5/2= 2.5, 2.5 x 3.14 = 7.85, 7.85 x 7.85= 61.6225
Neck: 2 x 2 = 4
Body: 7 x 10= 70
Arms: 8 x 3 = 24, 24 + 24 = 48
Legs: 4 x 2 = 8, 8 + 8 = 16
Shoes: 4 x 3= 12, 12 + 12 + 24
Triangle: 3 x 4= 12, 12/2 = 6, 6 + 6 = 12
Total: 61.6225 + 4 = 65.6225, 65.6225 + 70 = 135.6225, 135.6225 + 48= 183.6225, 183.6225 + 16 = 199.6225, 199.6225 + 24= 213.6225, 213.6225 + 12 = 225.6225
I need help I number five and explain please for brainless answer !! :))
Check the picture below.
[tex]\bf \begin{array}{llll} \stackrel{\textit{volume of a cylinder}}{V=\pi r^2 h}\\\\ V=3\left( \cfrac{\pi r^2 h}{3} \right)\\\\ V=3(33)\\\\ V=99 \end{array} \qquad \qquad \begin{array}{llll} \stackrel{\textit{volume of a cone}}{V=\cfrac{\pi r^2 h}{3}}\\\\ V=33\\\\\\\\\\ \end{array}[/tex]
notice, the volume of the cone is one-third of the cylinder's.
If there are 100 postage stamps in a sheet of stamps, and each stamp cost 29 cents, how much will one sheet of stamps cost?
Answer:
2.99
Step-by-step explanation:
To find the cost of one sheet of stamps, you multiply the number of stamps (100) by the cost per stamp (29 cents), which equals 2900 cents.
To find out how much one sheet of postage stamps will cost, we need to follow these steps:
Multiply the number of stamps by the cost of each stamp: 100 stamps × 29 cents.100 × 29 = 2900 cents.Therefore, the cost of one sheet of stamps is 2900 cents.
the table below lists four names and their corresponding aproximant weights on earth.
________________________________
mass (kilograms) | weight (newtons)
20 | 196
50 | 490
x | 1078
130 | 1274
140 | 1372
the ratio weight to mass in contant. wich statemen describes the ratio of weight to mass and the value of x in the table?
A. 98/10; X =90
B. 98/10; =110
C. 10/98; X =90
D. 10/98; X= 110
Answer:
The statement which describes the ratio of weight to mass and the value of x is ⇒ 98/10 ; = 110 answer B
Step-by-step explanation:
* Lets explain how to solve the problem
- The mass (kilograms) values are
20 , 50 , x , 130 , 140
- The corresponding weight (newtons) values are
196 , 490 , 1078 , 1274 , 1372
* Lets find the ratio between weight to mass
∵ 196/20 ⇒ divide up and down by 2
∴ 196/20 = 98/10
∵ 490/50 ⇒ divide up and down by 10
∴ 49/5 ⇒ multiply up and down by 2
∴ 49/5 = 98/10
∴ 490/50 = 98/10
∵ 1274/130 ⇒ divide up and down by 13
∴ 1274/130 = 98/10
∵ 1372/140 ⇒ divide up and down by 14
∴ 1372/140 = 98/10
- All the ratios between weight to mass equal 98/10
∴ 1078/x = 98/10 ⇒ by using cross multiplication
∴ 98(x) = 1078(10)
∴ 98 x = 10780 ⇒ divide both sides by 98
∴ x = 110
* The statement which describes the ratio of weight to mass and the
value of x is 98/10; = 110
The ratio of weight to mass is constant. Write the ratio of weight to mass in simplest form to represent the table. Answer: 9.8
What should the value of x be in the table? Answer 110 kilograms
PLZZZ HELP GIVING AS MANY POINTTS
The answer is
10+x/6
Answer:
10 + x/6
Step-by-step explanation:
This is the equation you make
In preparation For her ice cream party Emily surveyed 35 students at her school about their favorite ice cream flavor she found out that seven of them like vanilla if 210 students are expected to attend the ice cream party about how many will prefer vanilla
Answer:
205
Step-by-step explanation:
|2x+1|>5 what is the answer
solve for real numbers x.
Answer:
see explanation
Step-by-step explanation:
Inequalities of the type | x | > a always have solutions of the form
x < - a or x > a, thus
2x + 1 < - 5 OR 2x + 1 > 5 ( subtract 1 from both sides of both inequalities
2x < - 6 OR 2x > 4 ( divide both sides of both inequalities by 2 )
x < - 3 OR x > 2
Find the range of the given data set.
, , 1, 1
1
Answer: The range is the difference between the largest and the smallest number, in this case the range would be 0
Step-by-step explanation:
Answer:
You missed a few numbers there, but the answer is 5/8 I just had this question:))
Step-by-step explanation:
A field with an area of 2880 ft2 has the shape of a rectangle, whose length is 12 ft larger than its width. Find the dimensions of this field.
Answer:
width is 48, length is 60
Step-by-step explanation:
Answer: The dimensions of the field are
width = 40 ft and length = 60 ft.
Step-by-step explanation: Given that a field with an area of 2880 ft² has the shape of a rectangle with length 12 ft larger than the width.
We are to find the dimensions of the field.
Let w ft be the width of the given rectangular field.
Then, the length of the field will be (w + 12) ft.
According to the given information, we have
[tex]w \times (w+12)=2880\\\\\Rightarrow w^2+12w=2880\\\\\Rightarrow w^2+12w-2880=0\\\\\Rightarrow w^2+60w-48w-2880=0\\\\\Rightarrow w(w+60)-48(w+60)=0\\\\\Rightarrow (w-48)(w+60)=0\\\\\Rightarrow w-48=0,~~~w+60=0\\\\\Rightarrow w=48,-60.[/tex]
Since the measure of a side of a rectangle cannot be negative, so w = 48.
This implies that
length of the field = w + 12 = 48 + 12 = 60 ft.
Thus, the dimensions of the field are
width = 40 ft and length = 60 ft.
Find the mistake made in the steps to solve the equation below.
Answer:
B. Step 3 is incorrect, it should be x = 10/8
Step-by-step explanation:
Answer:
The correct option is B) Step 3 is incorrect and should be [tex]x=\frac{10}{8}[/tex].
Step-by-step explanation:
Consider the provided equation.
[tex]6x-1=-2x+9[/tex]
Step 1: Use addition property of equality.
[tex]8x-1=9[/tex]
Step 2: Use addition property of equality.
[tex]8x=10[/tex]
Step 3: Use Division property of equality.
[tex]x=\frac{10}{8}[/tex]
Step 4: Now simplify.
[tex]x=\frac{5}{4}[/tex]
Now, by comparing these steps with the provided image we can concluded that the step 3 is incorrect.
Thus, the correct option is B) Step 3 is incorrect and should be [tex]x=\frac{10}{8}[/tex].
I need help, I struggle with surface area. Please provide me with the answer and why it’s that answer.
lemme turn upwards the prims a little, check the picture below.
notice the triangle has a base of 4 and a height of 3, and the prism is really just two triangles and 3 rectangles, so we can simply get the area of each figure and sum them up, and that's the area of the prism.
[tex]\bf \stackrel{\textit{two triangles}}{2\left[\cfrac{1}{2}(4)(3) \right]}+\stackrel{\textit{right-side rectangle}}{(5\cdot 6)}+\stackrel{\textit{left rectangle}}{(6\cdot 3)}+\stackrel{\textit{ground rectangle}}{(6\cdot 4)} \\\\\\ 12+30+18+24\implies 84[/tex]
what is the sum of 1 1/2 + 3 3/4 + 5 1/8 ?
Answer:
9 1/8
Step-by-step explanation:
1. first take away the fraction part and take the whole numbers off of the numbers and add them!
1 + 3 + 5 = 9
2. now take that aside and keep that for later... now lets focus on the
1/2, 3/4, and the 1/8 these are the STARS you will be focusing on!
3. now, find the common denominator in these fractions!!!
how? here is how!
1. lets list these fractions:
1/2, 3/4, and 1/8
the common demoninator is 8 because 1. its one of the highest in this set and 2. if you multiply 1/2 and 3/4 n the numerator and the demoentator by 4 they can create a 8 denminator and then you can add them!
4. Next, I wont be explaning you just watch!
3 x2 6
_ = _
4 x2 8 (to get to 8 from 4 you multiply by 2! so you do the same for the upper one!!!)
1 x4 4
_ = _
2 x4 8
you dont do anything to 1/8 because its already part of the eights family! :D
5. I know, it took us a LONG way here but here it is! the final! now, time to add them!
4/8, 6/8 and 1/8
6. lastly...
1 1/8 + 9 = 9 1/8
Hope this helpes! sorry this was so long!!! :D
For the given line segment, write the equation of the perpendicular bisector.
a. y= 4/5x + 17/10
b. y= 5/4x+ 17/10
c. y= 4/5x + 47/10
d. y= - 4/5 X - 47/10
will mark brainliest if correct and give 50 pts.
D.) -4/5X-47/10, because the slope of the line is 5/4 and the perpendicular bisector must be the opposite reciprocal, meaning the numerator and denominator flip and then it becomes negative. So the opposite reciprocal of 5/4 is -4/5, leading us to answer choice D
The area of a square is A=s^2 where is a is length of one side of the square. What is the side length s for each square?
A). s=324 in.
B) s=<324 in.
C) s= (324)^2 in.
Answer:
(b) I think. Im sorry if this is wrong. <3
Step-by-step explanation:
A but it’s most likely B
HELP ME PLSSSSS!!!!!
Answer:
b
Step-by-step explanation:
what is the probability of spinning a 4 on the spinner below
Answer:
D. 1/8
Step-by-step explanation:
Count the total sections - 8
Count how many 4s there are - 1
Reduce if possible, not possible here.
The probability of spinning getting 4 on the spinner will be 0.125.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
The shinner has 8 equal sections.
The total number of events will be
Total event = 8 {1, 1, 1, 2, 2, 3, 3, 4}
Then the probability of spinning getting 4 on the spinner will be
Favorable event = 1 {4}
Then the probability will be
P = 1 / 8
P = 0.125
P = 12.5%
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ2
Find the range of f(x) =2x-6 for the domain (-2,1,5,8)
Answer: range: (-10,-4,4,10)
Step-by-step explanation: range is y value and domain is x value
f(x) will be ur y
in place of x put the value of domain
example:
f(x) =2x-6y=2(-2)-6
= -10
2) y=2[1]-6
= -4
like that do the rest of the working to find ur range.
Answer:
the range is : (-10,-4,4,10)
Step-by-step explanation:
calculate :
f(-2) = 2(-2) -6 = -10
f(1) = 2(1) -6 = -4
f(5) = 2(5) -6 = 4
f(8) = 2(8) -6 = 10
the range is : (-10,-4,4,10)
A teacher asked her students how many pets they own.Here are the results: 0,0,0,1,1,1,1,2,2,2,4,4,8 On a piece of paper, draw a dot plot to represent the data.Then determine which answers choice matches the dot plot you drew.
The dot plot in option (C) matches the given data
What is dot plot?
"A dot plot, also known as a strip plot or dot chart, is a simple form of data visualization that consists of data points plotted as dots on a graph with an x- and y-axis."
What is data?
"A collection of facts, such as numbers, words, measurements, observations or even just descriptions of things are known as data."
∴ From the four options, the dot plot in option (C) matches the given data
Learn more about dot plot here
https://brainly.com/question/21862696
https://brainly.com/question/21571425
#Tag#SPJ2
To create a dot plot for the data, represent each number of pets by the correct number of dots above that number on a number line. Match your dot plot to the provided answer choices by looking for the same number and distribution of dots.
Explanation:A dot plot is a graph that represents data by using dots over a number line. In this case, the number of pets owned by the students will be represented by the dots. The results from your teacher's query form a distinct pattern. Representing the number of pets with dots gives:
For 0 pets, draw 3 dots;For 1 pet, draw 4 dots;For 2 pets, draw 3 dots;For 4 pets, draw 2 dots;For 8 pets, draw 1 dot.To match your dot plot to the given answer choices, look for a plot with the exact number and distribution of dots as shown in your drawing. Matching your results ensures accuracy in data representation.
Learn more about Dot Plot here:https://brainly.com/question/22746300
#SPJ3
On August 1, Charles’ checking account register showed a balance of $2,416.78. After reviewing his bank statement he noticed an NSF charge in the amount of $70.25, a service charge of $19.00, and a note collected for $456.00. There was one deposit not yet credited for $155.00 and no checks outstanding. What was his reconciled balance? $2,820.53 $2,902.53 $2,902.35 $2,783.53
Answer:
$2,783.53
Step-by-step explanation:
Answer:
$2783.53
Step-by-step explanation:
$2416.78 - $70.25 - $19.00 +$456.00 = $2783.53
Can't count the $155.00 just yet as it has not registered as a credit. NSF and the service charge are always a deduction.
Find x on the triangle
Answer:
(c)
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos42° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{12}[/tex]
Multiply both sides by 12
12 × cos42° = x, hence
x ≈ 8.9 → (c)
The answer is C hope it helps :))))
A restaurant manager determined that about 12 of all customers would wait 20 minutes or more for a table. Which simulation could NOT be used to answer questions about whether a customer would wait?
Answer:
Step-by-step explanation: Spinner lands on Green or blue
Answer: Land on Red or Green
Step-by-step explanation:
Hope it helps!
I need to know how many pounds of vegetables Janice needs I’m homeschooled and I really need your help
Answer:
5 pounds of vegetables.
The complex number z = -2 + 10i is a sum of...
the complex number z=-2+10i
is the sum of real number 2 in the -ve x asix
and imaginary number 10in the y axis
63. Grace bought a dress, d, that was 45% off the regular price, r.
A Write an equation that represents this situation.
B The price of the dress before the 45% discount was $85.00.
After the discount, a 9% sales tax was added to the final sale
price. Calculate the final cost of Grace's desk. Show how you
found your answer.
A.
r - (r x .45) = d (The discounted price of the dress.)
B.
85 - (85 x .45) = 46.75
Now to find the final cost.
46.75 + (46.75 x .09) ~ 50.96
The final price is $50.96.
Hope this helps!
If it does, it would help a lot if you make me brainliest.
The area of a rectangle is (25x2 − 9y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work.
Answer:
(5x+3y) and (5x-3y)
Step-by-step explanation:
From the concept on difference between two squares;
a² - b² = (a+b)(a-b)
Therefore;
25x² - 9y² = (5x+3y) (5x-3y)
Therefore the dimensions of the square are (5x+3y) and (5x-3y)
Answer:
the dimensions of the rectangle are (5x + 3y) and (5x - 3y)
Step-by-step explanation:
The area of a rectangle is 25x^2 - 9y^2 square units.
To find the dimensions of a rectangle we need to factorize the expression completely.
We know that (a + b)(a - b) = a^2 - b^2
In this case: a^2 = 25x^2 and b^2 = 9y^2
So a = sqrt(25x^2) = 5x
And b = sqrt (9y^2) = 3y
Then the solution is:
(a + b)(a - b) = (5x + 3y)(5x - 3y)
Then the dimensions of the rectangle are (5x + 3y) and (5x - 3y)
23, 34, 27, 7, 30, 26, 28, 31, 34
What number is an outlier for the given data?
A) 7
B) 23
C) 31
D) 34
Easy 10 points :p
A. 7
7 is far away from the rest of the numbers, so it is an outlier.
The answer is A) 7 since it doesn’t fit in with the other numbers. In other words it’s the smallest number.