Step-by-step explanation:
Given
[tex]h(t)=(139kt)^2-69t+80[/tex]
For roots [tex]h(t)=0[/tex]
[tex](139kt)^2-69t+80=0\\t=\dfrac{69\pm\sqrt{(-69)^2-4\times (139k)^2(80)}}{2\times 139}\\[/tex]
[tex]t=\dfrac{69\pm\sqrt{4761-6182720k^2}}{278}[/tex]
Larger root: [tex]t=\dfrac{69+\sqrt{4761-6182720k^2}}{278}[/tex]
smaller root: [tex]t=\dfrac{69-\sqrt{4761-6182720k^2}}{278}[/tex]
For exactly one root D=0
i.e. [tex]4761-6182720k^2=0\\\\k=\dfrac{69}{139\times 4\times 2\times \sqrt{5}}\\k=0.0277[/tex]
what fraction dose point A on the number line Belem reprasent
Suppose that a bike for $12 plus $ 1.60 per hour. What is the slope ?
Answer:
Slope = 1.60
Step-by-step explanation:
y = 1.60x + 12
$12 - This would be the y-intercept
$1.60 - slope since it is the amount needed to pay each hour.
Hope this helps!
Combine the like terms. Simplify your answer
-5m+2m
-5m+2m is -3m
Hope it helps!
Round 85.984 to the nearest tenth.
Answer:
Your answer would be 86
Step-by-step explanation:
Hope it helps! Tell me if I am wrong so I can improve.
85.984=85.990.
Whenever it says to change it, change the number on the right of them since if you change the tenths place, it‘ll just turn it into the hundredth one.
How are the shapes alike?
Answer:
Two figures are said to be similar if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal.
Answer: i don’t know what shapes you are talking about but all shapes can be alike by being 3D, 2D e t c
Step-by-step explanation:
Ms. MacDonald raises rabbits. She starts with 5 rabbits. After a few months, she counts 5 times as many rabbits. The next time she counts, she has 5 times as many rabbits as she did at the previous count. How many rabbits does Ms. MacDonald now have? Select the correct exponential expression and its value A. 35 = 243 rabbits B. 53 - 15 rabbits C. 5° - 125 rabbits O D.35 - 15 rabbits. I need this rq plz help
Answer:
C
Step-by-step explanation:
5 ^ 5 ^ 5 = 125
What is the average rate of change for f(x)?
Enter your answer as a fraction
Answer:
The average rate of change is 1/4
Step-by-step explanation:
As you can see in the chart, for every four units rightward, the line goes up one unit. That means f(x) has an average rate of change of 1/4.
Find the measure of the largest angle in the triangle
shown.
15x
24x
21x
Answer:
72°
Step-by-step explanation:
Find the image of the question attached
The sum of angle in a triangle is 180°
Hence:
15x+24x+21x = 180°
60x =180
x =180/60
x= 3
Get the largest angle
The largest angle out of the angles is 24x
24x =24(3)
24(3) =72°
Hence the measure of the largest angle is 72°
surface area of a cuboid 1cm by 10cm by 3cm
Answer:
2lw + 2lh+2hw
Step-by-step explanation:
Answer:
If Im right you had to multiple 1 by 10 and 3
Step-by-step explanation:
Your answer will be 30 but dont forget to add the centimeter at the end
30cm
Hope this helps (:
10 points :)
Square OABC is drawn on a centimetre grid.
O is (0,0) Ais (3,0) Bis (3, 3) C is (0, 3)
Write down how many invariant points there are on the perimeter of the square when
OABC is reflected in y = x
Answer:
No invariant point
Step-by-step explanation:
Yo!
When we translate a form, in this case a polygon We must observe the direction of the vector. Since our vector is:
1) Let's apply that translation to this polygon, a square. Check it below:
2) The invariant points are the points that didn't change after the transformation, simply put the points that haven't changed.
Examining the graph, we can see that no, there is not an invariant point, after the translation. There is no common point that belongs to OABC and O'A'B'C' simultaneously. All points moved.
I hope you understood !
Calculate the speed of a wave with the frequency of 100 hz and wavelength of 250 m, please.
I've been struggling with this one...
Answer:
25000m/s
Step-by-step explanation:
The following formula is used to calculate the speed or velocity of a wave.
V = f * w
Where V is the velocity (m/s)
f is the frequency (hz)
w is the wavelength (m)
First, determine the frequency.
Calculate the frequency of the wave.
Next, determine the wavelength.
Calculate the wavelength of the wave.
Finally, calculate the wave speed.
Using the formula above, calculate the wave speed.
Blank x 0.4 = 0.2 equals?
Answer:
____ x 0.4 = 0.2
__?__ = 0.5
Step-by-step explanation:
in order to find the answer you must do the inverse operation and in this case that multiplication:
0.2 / 0.4 = 0.5
Answer:
0.5
Step-by-step explanation:
Subtract.
(11x2 + 3x – 9)-(2x2 + 2x + 7)
Answer:
3
Step-by-step explanation:
Simplify: (-7x2 - 3x) - (4x2 - x) ... -11x2 – 2x ... 3x – 5 + 23x – 9 = 3x + 23x – 5 – 9 = 26x – 14 = 2(13x – 7) Answer: 2(13x – 7). 11 . ... 2x - 3 + 3 = - 9 + 3, (Adding 3 on both sides) 2x = -6 2x/2 = -6/2
Answer: 9x power of 2+x-16
Step-by-step explanation:
The _______ for a procedure consists of all possible simple events or all outcomes that cannot be broken down any further.
Answer:
sample space
Step-by-step explanation:
Assume the 72-gon is a regular polygon. The measure of one interior angle is how many
degrees, and the measure of one exterior angle is how many degrees?
9514 1404 393
Answer:
interior: 175°exterior: 5°Step-by-step explanation:
The sum of exterior angles is 360°, so the exterior angle can be easiest to find first.
exterior angle = 360°/72 = 5°
The interior angle is the supplement of this.
interior angle = 180° -5° = 175°
The measure of one interior angle is 175°; one exterior angle is 5°.
Stella had a carton of 12 eggs. She used 4/6 of the eggs to bake loaves of bread for a bake sale how many eggs did Stella use for the bread ?
Answer:
eight eggs were used
Step-by-step explanation:
simplify 4/6 to 2/3 which 2/3 of twelve is eight
Help me pls I really need to pass
Oliver surveyed 880 of the students in his school about their favorite color. Students
could choose between red and blue. 35% said their favorite color was blue. How many
students' favorite color was red?
Answer:
572
Step-by-step explanation:
10%=88
5%=44
30%=264
35%=308= favourite colour blue
880-308=572= favourite colour red
You deposit $10,000 in an account earning 8% interest, compounded semi-monthly (twice a month). You plan to leave the account untouched for 25 years. How much interest will you earn over the 25 years?
Answer:
Po=10,000
10,000((1+.05/24)^600=34858.07, but $10000 must be subtracted because it was principal.
Interest is $24,858.07
Step-by-step explanation:
an angled measures 140 less than the measure of its supplementary angle. what is the measure of each angles
Answer:
the 70
Step-by-step explanation:
basically yoy half it as an angle is either 180 for triangle 360 for a circle and 180 also for a half line\
Geometry Help:
This is a repost , my last question the photo did not show the graph so here is a new photo , thankyou to anyone who helps! it’s really appreciated!
1) E&B and K&A
2) X&L and E&E
3) K&L and A&F
4) C&L and I&E
Solve the following inequality: 10t + 7 , 200 > 21 , 000
Answer:
t > 1380
Step-by-step explanation:
Subtract 7200 from both sides
10t + 7200 - 7200 > 21000 - 7200
Simplify
10t > 13800
Divide both sides by 10
10t/10 > 13800/10
Simplify
t > 1380
I'm struggling with this math problem. If your good at math plz help me
1. Which of the following is an irrational number?
A. 3
B. 3.666...
C. 19
D. Vg
Answer:
Vg
Step-by-step explanation:
All the others are decimals
pls give thanks, 5 star, brainliest
Compare 0.789 to 0.774.
Use
Answer:
0.789 [tex]\geq[/tex] 0.774
Step-by-step explanation:
0.789 is greater than 0.774
100 pts pls help will give brainliest
Question 5 (5 points)
(04.05 MC)
Which graph best represents the function f(x) = 4(1.5)x? (5 points)
Question 5 options:
1)
graph of increasing exponential function going through point 0, 2
2)
graph of increasing exponential function going through point 0, 3
3)
graph of increasing exponential function going through point 0, 1
4)
graph of increasing exponential function going through point 0, 4
Answer:
I am guessing the equation you meant to type is [tex]f(x)=4(1.5)^x[/tex]. Based on this information, I know that the answer is:
4) Graph of increasing exponential function going through point (0, 4).
Step-by-step explanation:
I graphed the function in Desmos, and I found that the y-intercept is (0,4). Answer choices 1-3 all have varying y-intercept options, while option number 4 says the graph is going through point (0,4) so we know that's the right answer.
I hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day, and good luck with the rest of your assignment. I'll attach a photo of the graph below, so you understand the graph.
Answer:
I had the same exact problem on my quiz! The answer is D, because the y intercept is (0,4). Graphing the equation really helped me understand it! :)
A computer software vendor wants to estimate the number of times a computer will crash with its new operating system over the course of a year. A system administrator installs the operating system on a random sample of 34 computers. At the end of a year, the sample mean number of crashes is 5.6, with a standard deviation of 2.2. Find the confidence interval at a 90% confidence level for the mean number of crashes a computer will have with the new operating system over the course of a year.
Answer:
(4.9793, 6.2207)
Step-by-step explanation:
Given the data:
Sample size, n = 34
Sample mean, m = 5.6
Standard deviation, s = 2.2
Confidence interval = 90%
Using the relation :
m ± Zcritical * s/√n
Zcritical at 90% confidence interval = 1.645
Confidence interval ;
5.6 ± (1.645 * 2.2/√34)
5.6 ± 0.6206533
Lower boundary = 5.6 - 0.6206533 = 4.9793
Upper boundary = 5.6 + 0.6206533 = 6.2207
Neil eats 1/2 of an apple in 1/6 of a minute. How much time, in minutes, does it take him to eat a full apple? Type your answer as a fraction. If it is improper, change it to a mixed number. Do not include "minutes" in your answer.
Answer:
20 seconds
Step-by-step explanation:
He eats 1/2 of the apple in 10 seconds, meaning he eats the whole apple in 20 seconds.
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about x = 4. y = 3x4, y = 0, x = 2
Answer: the volume V generated by rotating the regions 281.49
Step-by-step explanation:
Given that;
the radius of the shell ⇒ (4 - x)
then the circumference of the shell is 2π( 3 - x ) i.e 2π × radius
y = 0 and x = 2
the height of the shell is 3x⁴
Now the volume of the solid obtained by rotating
the bounded region about x = 4 is;
V = ²∫₀ 2π ( 4 - x ) ( 3x⁴ ) dx
= ²∫₀ 2π ( 12x⁴ - 3x⁵ ) dx
= 2π [ 12x⁵/5 - 3x⁶/6 ]₀² {BY FTC -2]
= 2π [ (12×32)/5 - (3×64)/6 ] - ( 0-0) ]
= 2π [ 76.8 - 32]
= 2π [ 44.8 ]
= 281.49
Therefore the volume V generated by rotating the regions 281.49
What factor, besides 1, does every even number have?
2
5
10
12
Answer:
2
Step-by-step explanation:
Since they are even numbers, they have to be divisible by 2.
