Answer:
[tex]x_{1}=-1+\sqrt{17},\:x_{2}=-1-\sqrt{17}[/tex]
Step-by-step explanation:
Quadratic Equation Given:
[tex]x^2+2x-16=0[/tex]
[tex]x^2 + 2x=16[/tex]
[tex]$c=\left( \frac{b}{2} \right)^2 $[/tex]
[tex]x^2 + 2x+1=16+1[/tex]
[tex](x+1)^2=17\\[/tex]
[tex]x+1=\pm \sqrt{17} \\[/tex]
[tex]x=-1 \pm \sqrt{17} \\[/tex]
[tex]x_{1}=-1+\sqrt{17},\:x_{2}=-1-\sqrt{17}[/tex]
It took 4 hours to drive 240. At this rate,how long does it take to drive 90 miles?
The required time that it takes for 90 miles is 1.5 hour.
What is the difference between average and instantaneous speed?The average speed is calculated for a period of time while instantaneous speed is calculated at certain instant of time. For instantaneous speed and average speed are equal for an object moving with constant speed.
The total distance is given as 240 miles.
And, the time taken is 4 hours.
Now, the speed can be calculated by taking the ratio of the distance and time as below,
Speed = Distance ÷ Time
⇒ Speed = 240 ÷ 4 = 60
Thus, the time taken to drive 90 miles is calculated as,
Time = Distance ÷ Speed
⇒ Time = 90 ÷ 60 = 1.5
Hence, the time taken to cover 90 miles is 1 hour.
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In the U.S., from 2004 - 2015, the correlation coefficient for the relationship
between the size of a cell phone data plan, x, and the number of text
messages sent, y, is r = +0.97. Describe the relationship between the data
plan size and the number of text messages sent in the U.S.
Answer:
There is a very strong positive correlation between size of a cell phone data plan and the number of text messages sent in the U.S.
Step-by-step explanation:
The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.
Positive correlation is an association amid two variables in which both variables change in the same direction. A positive correlation occurs when one variable declines as the other variable declines, or one variable escalates while the other escalates.
Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.
The correlation coefficient for the relationship between the size of a cell phone data plan, x, and the number of text messages sent, y is:
r = +0.97.
The correlation value is very close to +1.
So, we can say that there is a very strong positive correlation between size of a cell phone data plan and the number of text messages sent in the U.S.
Describe the solution to the system of equations below.
HALP
The surface area of the three dimensional figure is ____ square centimeters
Answer:
536.6
Step-by-step explanation:
First I found the area for the rectangles which is (15x10) multiplied by 3.
Then I found the area for the triangles which is A=(1/2)(8.66)(10). Which equals 43.3, then multiplied that by 2.
Add all the areas together (150)(3)+(43.3)(2)=536.6
Answer:
536.6
Step-by-step explanation:
it is a strange shape and that is the answer
NEED ANSWER ASAP
MARKING BRAINLIEST
Answer:
34
Step-by-step explanation:
I have none... But I remember being asked this question in class!
I hope I've helped! Please leave a thanks and vote!
Write an equation of the line that passes through (3,1) and (0,10).
Answer:
y=-3x+10
Step-by-step explanation:
Find the missing side length to the nearest tenth of a foot. hypotenuse is 14 and leg is 8
Answer:
x = √(14² - 8²) = √(196 - 64) = √132 = 2√33 = about 11.5 feet
25 BRAINY POINTS + WILL MARK BRAINIST + 5 STARS + THANKS!!!!!!!!!
Answer:
less than
Step-by-step explanation:
time is minutes and volume is already gallons and the 2 for gallons is at 4 minutes marking it 1 gallon per 2 minutes or half a gallon per minute
James earned a total of 18$ by selling 9 cups of lemonade.How many cups of lemonade does james need to sell in all to earn $26
Choices:
15
13
12
14
Answer:
The correct answer is 13
Step-by-step explanation:
In a certain normal distribution of scores, the mean is 40 and the standard deviation is 3. Find the s-score corresponding to a score
of 54.
a. 4.67
c. 4.67
b. 18.0
d. 13.33
Please select the best answer from the choices provided
Answer:
choice a.) 4.67
Step-by-step explanation:
Using the Z-score table.
We have:
mean u = 40
standard deviation s = 3
for X = 54
Z-score = Z = (X - u)/s = (54 - 40)/3 = 14/3 = 4.6667
P(Z > 4.6667) = 0.000003 very close to 0
Of the 15 children at the park, 12 children are riding bicycles and 3 children are riding
scooters. Which ratio is correct? Circle all that apply.
A The ratio of bicycles to scooters is 12 to 3.
B The ratio of scooters to children is 3 to 15.
С The ratio of bicycles to children is 12 to 15.
D The ratio of scooters to children is 9 to 12.
E The ratio of bicycles to children is 12 to 3.
Answer:
A,B,C
Step-by-step explanation:
if it is wrong correct me
The correct options are Option A , Option B and Option C.
It is given that of total 15 children at the park, 12 children are riding bicycles and 3 children are riding scooters.
We have to find out that which ratio is correct from the given options.
What will the value of ratio ; 2 : 4 ?
The value will be 1 : 2.
Total number of children at the park = 15
Number of children riding bicycles = 12
Number of children riding scooters = 3
The ratio of bicycles to scooters will be ;
12 : 3
The ratio of scooters to total number of children will be ;
3 : 15
The ratio of bicycles to total number of children will be ;
12 : 15
Thus , the correct options are Option A , Option B and Option C.
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Evelyn wants to enlarge a photo that measures 3 inches by 5 inches. A photo measures 3 inches by 5 inches. A larger photo measures x inches by 15 inches. What is the missing measurement, in inches, that Evelyn needs?
Answer: 9 inches by 15 inches
Step-by-step explanation:
5x3=15, and what you do on one side needs to be done to the other, so you do 3x3, which is 9.
Answer:
9
Step-by-step explanation:
PLS ANSWER DUE LATER TODAY!!!
Answer:
1) y= 2x-4
2) y= 2/3 - 3
3) y=1/2x+2
4) y=-4x-4
Step-by-step explanation:
all you basically has to do is is subtract the x to isolate the y and if the y and if the y still has a number by it you use it to decide it
help me please asap
Answer:
the second one
Step-by-step explanation:
Answer:
The second on is the answer.
Step-by-step explanation:
Parallel lines r and s are cut by two transversals, parallel lines t and u.
Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16.
Which angles are alternate exterior angles with angle 11?
Answer:
5 and 13
Step-by-step explanation: edge 2021
The alternate exterior angle can be identified by understanding the definition alternate exterior angles.
The alternate exterior angles with angle 11 are angle 13° and angle 5°.
Given:
The parallel line [tex]r\parallel s[/tex] and [tex]t\parallel u[/tex].
Refer the attached figure to understand the given statement.
The alternate exterior angles can be create by transversal intersecting two parallel lines. The alternate exterior angles lies opposite side of transversal and create the two pair line of alternate exterior angles.
As per the above definition alternate exterior angles, we notice in figure [tex]\angle 13[/tex] and [tex]\angle 5[/tex] are the exterior side of parallel lines and opposite to exterior side of parallel lines.
Thus, the alternate exterior angles with angle 11 are angle 13° and angle 5°.
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Would you rather pay for 3 gifts and get 1 free or use a coupon for 20% off?
Answer:
pay three 1 free
Step-by-step explanation:
If you pay 3 and get 1 free, you pay 75%, if you get 20% off you pay 80%. If you want to pay less, pay three and get 1 free
Lisa surveyed 50 randomly selected students to find out if they thought their school should start a recycling program of the 50 students
surveyed, 42 answered "yes."
If all 375 students in the school were asked the same question, approximately how many students are likely to answer "yes"?
A. 158
B. 283
C. 315
D. 333
E. 367
315 students would answer "yes". If 42 out of 50 students answered yes, that'd be 84% (you can determine this by dividing 42/50). Once you've determined that part, you can multiply 375 by 0.84 (converting a percentage to a decimal), which would give you 315.
Please mark brainliest if this helped in any way, thank you! Have a great day! :)
Out of 50 surveyed students, 84% answered 'yes' to the question about starting a recycling program. Applying this percentage to the whole school of 375 students, we estimate that about 315 would say 'yes'. So, the correct choice is C. 315.
Explanation:To answer this question, we first need to find out what fraction of students surveyed answered 'yes'. In this case, it's 42 out of 50 students, or 84%. If we apply this percentage to the entire school population, we can estimate how many of the 375 students would likely answer 'yes'.
To do this, you multiply the total number of students (375) by the percentage that answered 'yes' (.84 or 84%) which would give us 315.
So, out of 375 students, we can estimate that approximately 315 would answer 'yes' to the question about starting a recycling program. Hence, the correct answer is C. 315.
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How many unit cubes are needed to
make a model of a rectangular prism
that is 9 units long, 5 units wide, and
3 units high?
A 17 unit cubes
B 135 unit cubes
C 174 unit cubes
D 270 unit cubes
Answer:
b
Step-by-step explanation:
3 x 5=15
15 x 9= 135
135=b
Estimate a 15% tip on a dinner bill of $31.86 by first rounding the bill amount to the nearest ten dollars.
Estimated tip:
Using the equation for the line of best fit what is a good approximation for the value of the function
Answer:
well... show the function lol silly
Step-by-step explanation:
Factor the polynomial by it’s greatest common monomial factor.
9b^8 + 24b^3
Answer:
9b^8 + 24b^3 = (3b^3) [ 3b^5 + (8)]
greatest common monomial is 3*[tex]b^{3}[/tex]
Step-by-step explanation:
we see 9b^8 + 24b^3
there is a common factor here.
3b^3 so
9b^8 + 24b^3 = (3b^3) * 3b^5 + (3b^3) *(8)
9b^8 + 24b^3 = (3b^3) [ 3b^5 + (8)]
so...
Question 5 (5 points)
To the nearest hundredth, what is the value of m?
15
08.66
12.99
2.31
7.50
Answer:
m = 12.99
Step-by-step explanation:
cos30° = m/15
√3/2 = m/15
2m = 15√3
m = 15√3/2
m = 15·1.73/2
m = 25.95/2
m = 12.99
Sana maka tulong plss rate and love
You are considering buying two different vehicles. • The first is a van at $20,523, and an estimated annual operating cost of $3200. • The second is a fuel-efficient car at $23,540 and an estimated annual operating cost of $2450. Use these equations to represent the cost (y) of the cars over x years: Y = 20,523 + 3200 X Y = 23,540 + 2450 X
Answer:
Fill in the following tables, using the equations.
Cost of owning and operating the vehicles
Vehicle 0 1 2 3 4 5 6
Van $20,523 $23,723 $26,923 $30,123 $33,323 $36,523 $39,723
Car $23,540 $25,990 $28,440 $30,890 $33,340 $35,790 $38,240
How much does each vehicle cost initially?
Van costs $20,523Car costs $23,540How much does each cost to operate for one year?
Van costs $3.200Car costs $2,450Which one initially costs less?
VanWhich one will cost less over the six years?
CarWhen do they cost about the same?
year 4: van accumulated costs $33,323 and car accumulated costs = $33,340By calculating the costs over various years, you can determine which vehicle is more cost-effective based on the expected ownership duration. For instance, over 5 years, the fuel-efficient car is cheaper.
To compare the total cost of the van and the fuel-efficient car over time, we will use the given equations:
For the van: Y = $20,523 + $3200XFor the fuel-efficient car: Y = $23,540 + $2450XHere, Y represents the total cost over X years. To determine which vehicle is more cost-effective over a certain period, we need to calculate and compare the costs for various values of X.
Example Calculation:
Suppose we compare the costs for 5 years.
For the van:In this 5-year scenario, the fuel-efficient car is cheaper than the van.
By performing similar calculations for different time periods, you can determine which vehicle is more cost-effective based on your expected ownership duration.
I need the answer to this question
Answer:
A B D E F G
Step-by-step explanation:
Integer is a whole number (not a fraction)
Answer:
A, B, D, E, F, G
Step-by-step explanation:
An integer can only be a WHOLE number. C and H are decimals [NOT WHOLE NUMBERS] so they wouldn't satisfy the requirements.
The graph of r = 1/ 1-5 sin theta is symmetric about the
Answer:
A. y-axis only
Step-by-step explanation:
We have the graph of as given below.
It can be seen that passes through the points (0,0), (4,0) and (6,0).
Also, the graph is plotted in the 1st and 2nd quadrant symmetrically along the y-axis.
Hence, the axis of symmetry of is the y-axis only.
The graph of r = 1/ (1 - 5sinθ) is symmetric about the y-axis only.
How to write polar coordinates?It expresses x and y in terms of r and θ:
x = r cos(θ) , y = r sin(θ)
In polar coordinates, the x-axis corresponds to θ = π/2 and the y-axis corresponds to θ = 0 (or θ = π). So to test for symmetry, we need to check whether replacing θ with π - θ (which reflects the graph across the y-axis) or replacing r with -r (which reflects the graph across the origin) gives us the same equation.
If we replace θ with π - θ, we get:
r = 1 / (1 - 5sin(π - θ)) = 1 / (1 + 5sinθ)
This equation is not the same as the original equation, so there is no symmetry about the y-axis.
If we replace r with -r, we get:
-r = 1 / (1 - 5sinθ)
Multiplying both sides by -1, we get:
r = -1 / (1 - 5sinθ)
This equation is also not the same as the original equation, so there is no symmetry about the origin.
However, if we replace θ with π/2 - θ, we get:
r = 1 / (1 - 5sin(π/2 - θ)) = 1 / (1 + 5cosθ)
This equation is the same as the original equation, so the graph is symmetric about the y-axis.
Therefore, the graph of r = 1/ (1 - 5sinθ) is symmetric about the y-axis only.
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The complete question would be as:
The graph of r = 1/ (1 - 5sinθ) is symmetric about the __________.
A. y-axis only
B. x-axis only
C.Origin only
D.No symmetry
The net of a cylinder is shown. The area of one base of the cylinder is 9Pi in.2. The circumference of a base is 6Pi in., and the height of the cylinder is 10 in. Which expression can you use to find the lateral area plus two bases of the cylinder? A--6Pi + 9Pi(10) in.2 B--9Pi + 6Pi(10) in.2 C--6Pi + 6Pi + 9Pi(10) in.2 D--9Pi + 9Pi + 6Pi(10) in.2
Answer:
The answer is D.
Step-by-step explanation:
The expression can be used to find the lateral area plus two bases of the cylinder is (D) 9[tex]\Pi[/tex] + 9[tex]\Pi[/tex] + 6[tex]\Pi[/tex](10) [tex]in^2[/tex] .
Mathematically, an expression is a combination of numbers, variables, operations, and functions that are combined according to specific rules to represent a mathematical computation or relationship. It can be thought of as a mathematical phrase or formula.
The sum of lateral area and the two bases of the cylinder
= lateral area + sum of the area of two bases.
The lateral area = 6[tex]\Pi[/tex](10) [tex]in^2[/tex].
So, The sum of the lateral area and the two bases of the cylinder
= 9[tex]\Pi[/tex] + 9[tex]\Pi[/tex] + 6[tex]\Pi[/tex](10) [tex]in^2[/tex].
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Find x if f(x) = 2x + 7 and f(x) = -1.
A. -4. B. -3. C. 5.
Answer:
A. -4
Step-by-step explanation:
Set equations equal to each other.
2x+7=-1
Subtract 7 from both sides.
2x = -8
Divide both sides by 2.
x = -4
The following frequency table shows the number of parking spots at each of the houses on Lombardi
Avenue.
Find the mean number of parking spots.
parking spots
Answer:
2
Step-by-step explanation:
The mean is the average of the numbers. You find the mean by adding all of the number values then dividing by the amount of numbers.
0+1+2+3+4=10
There are 5 numbers so we divide by 5
10/5=2
The mean of the parking spots is 2.
In ΔIJK, the measure of ∠K=90°, KJ = 77, IK = 36, and JI = 85. What ratio represents the cosine of ∠I?
We have been given that in ΔIJK, the measure of ∠K=90°, KJ = 77, IK = 36, and JI = 85. We are asked to find the ratio that represents the cosine of angle I.
First of all, we will draw a right triangle as shown in the attachment.
We know that cosine relates adjacent side of right triangle with hypotenuse.
[tex]\text{cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}[/tex]
We can see that adjacent side to angle I is IK and hypotenuse is IJ.
[tex]\text{cos}(\angle I)=\frac{IK}{IJ}[/tex]
[tex]\text{cos}(\angle I)=\frac{36}{85}[/tex]
Therefore, the ratio of cosine of angle I is [tex]\frac{36}{85}[/tex].
Answer:
the ratio of cosine of angle I is 36/85.
Step-by-step explanation:
You roll a six sided die. What is the
probability of rolling an even number
three times in a row?
Answer:
50
Step-by-step explanation:
The probability of rolling an even number three times in a row is; 1/27.
What is the probability of rolling an even number three times in a row?It follows from the task content that the six sided die is rolled thrice.
With each roll, it follows that the probability of rolling an even number is 2/6 = 1/3.On this note, upon rolling the dice thrice, it follows that the probability of rolling an even number all three times is;
P = 1/3 × 1/3 × 1/3 = 1/27.Read more on probability;
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