-16t^2+100t+316=0
Solve the quadratic equation. Round to the nearest tenth.
Answers
Answer:
-2.3, 8.6 to the nearest tenth.
Step-by-step explanation:
-16t^2+100t+316=0
Simplify it first.
Divide by -4:
4t^2 - 25t - 79 = 0
Using the quadratic formula:
x = [-(-25) +/- √(-25)^2 - 4*4*-79) ] / 8
= (25 +/- √(1889)) / 8
= 3.125 +/- 43.463/8
= 3.125 +/- 5.433
= -2.308, 8.558
Answer:
quadratic formula normally normally applies in such cases
Related Questions
A box of 800 paper clips costs $5.60. What is the unit price of the paper clips?
Answers
Answer:
70 cents
Step-by-step explanation:
To figure out how much 1 paper clip costs we must divide :)
5.60/800 = 70 cents
Have an amazing day!!
Please rate and mark brainliest!!
3 times the age of Felicia is 4 more than the age of Asare.in 3 years,the sum of their ages will be 30 years,find their present age
Answers
Answer:
Asare is 17 and Felicia is 7.
Step-by-step explanation:
let x be felicia's current age and y be asare's age. The equation for their age is y=3x-4. If 3x-1 + x+3 = 30, that means that 4x+2=30, so 4x=28. If 4x=28, x=7. Felicia is 7 and 3*7-4=17.
Trigonometric equations
5sinx = 3sinx + square root of 2
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♪[/tex]
Let's solve for x ~
[tex]\qquad \sf \dashrightarrow \:5 \sin(x) = 3 \sin(x) + \sqrt{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:5 \sin(x) - 3 \sin(x) = \sqrt{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:2 \sin(x) = \sqrt{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sin(x) = \sqrt{2} \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \: \sin(x) = \frac{1}{ \sqrt{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \:x = 45 \degree \: \: or \: \: \frac{\pi}{4} \: rad[/tex]
・ ．━━━━━━━†━━━━━━━━━．・
Kaya brought $30 to the mall. She spent $7.28 on food, and $18.94 on a necklace. How much does she have left?
Answers
Answer:
$3.78
Step-by-step explanation:
30 dollars minus 7 dollars and 28 cents is twenty-two and seventy-two cents, then minus another eighteen and ninety-four cents, would end up at three dollars and seventy-eight cents.
Answer:
[tex]\boxed{\$3.78}[/tex]
Step-by-step explanation:
To find out how much money does Kaya have left, we need to subtract the total money spent from the total money brought to the mall.
In this problem, we can tell that Kaya brought $30 to the mall as stated in the question. Furthermore, the problem states that she spent $7.28 on food, and $18.94 on a necklace. This means that the sum of 7.28 and 18.94 is the money spent by Kaya.
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[tex]\$30 - (\$7.28 + \$18.94) = \text{Money remained}[/tex]
➡ [tex]\$30 - (\$26.22) = \text{Money remained}[/tex]
➡ [tex]\$30 - \$26.22 = \text{Money remained}[/tex]
➡ [tex]\bold{\underline{\$3.78} = Money \ remained}}[/tex]
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
Jacori wants to estimate the proportion on seniors who will participate in graduation. He interviews a simple random sample of 40 of the 514 seniors at his school. He find that 34 are planning to participate. Is the normal condition for finding a confidence interval met?
Answers
Using the Central Limit Theorem, it is found that the condition is not met, as there are less than 10 failures.
What does the Central Limit Theorem states?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].
In this problem, 34 of the 40 seniors are planning to participate in graduation, hence:
np = 34.n(1 - p) = 6 < 10.Since there are less than 10 failures, the normal condition for finding a confidence interval is not met.
More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213
What is the philtrum?
A. The creases in your lips
B. Centered and above your top lip where it dips down
C. Parts of your eyelids
D. The space between your nostrils
Answers
Answer:
Center and above your top lip where it dips down....
Write the equation of the line perpendicular to y=5/6x+7/6 that passes through the point (-8,9) .
Answers
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{5}{6}}x+\cfrac{7}{6}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so we can say that
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{5}{6}} ~\hfill \stackrel{reciprocal}{\cfrac{6}{5}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{6}{5}}}[/tex]
so we're really looking for the equation of a line with a slope of -6/5 and that passes through (-8 , 9)
[tex](\stackrel{x_1}{-8}~,~\stackrel{y_1}{9})\qquad\qquad \stackrel{slope}{m}\implies -\cfrac{6}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{-\cfrac{6}{5}}(x-\stackrel{x_1}{(-8)})\implies y-9=-\cfrac{6}{5}(x+8) \\\\\\ y-9=-\cfrac{6}{5}x-\cfrac{48}{5}\implies y=-\cfrac{6}{5}x-\cfrac{48}{5}+9\implies y=-\cfrac{6}{5}x-\cfrac{3}{5}[/tex]
A rectangular container that has a length of 30 cm, a width of 20 cm, and a height of 24 cm is filled with water to a depth of 15 cm. When an additional 6.5 liters of water are poured into the container, some water overflows
Answers
Answer:
Step-by-step explanation:
1.1 L
Given:
A rectangular container that has:
a length of 30 cm,
a width of 20 cm, and
a height of 24 cm
It is filled with water to a depth of 15 cm.
When an additional 6.5 L of water are poured into the container, some water overflows.
Question:
How many liters of water overflow the container?
The Process:
Step-1: calculate the volume of rectangular container
The volume of rectangular container is 14,400 cm³, then converted to 14,4 L.
Step-2: calculate the volume of water filled in the container to a depth of 15 cm
The volume of water filled is 9,000³ cm, then converted to 9 L.
Step-3: calculate the volume of water overflow when an additional 6.5 L of water is poured into a container.
The volume of water overflow equals the initial water volume is added to the additional water volume then subtracted by the container volume.
The volume of water overflow =
Thus, the volume of water overflow of the container is 1.1 L.
Find the average of this set of numbers.16, 20, 30, 30
A) 14
B) 15
C) 25
D) none of the above
Answers
Answer:
D) none of the above
Step-by-step explanation:
To find an average, you add up all of the numbers and divide by how many numbers there were. for example, in this equation, the sum of all of the numbers was 96. then I divided 96 by 4(the amount of numbers shown)
Determine whether each of these sets is countable or un- countable. For those that are countably infinite, exhibit a one-to-one correspondence between the set of positive integers and that set. a. integers not divisible by 3 b. integers divisible by 5 but not by 7 c. the real numbers with decimal representations con- sisting of all 1s d. the real numbers with decimal representations of all 1s or 9s
Answers
Answer:
i do not understand the questions
Step-by-step explanation:
amina and cara take a math test amina scores 40 marks,cara scores 60 marks write the ratio of amin to cara's marks
-they are given $20 to share,they share the money in the ratio of their marks how much does amina recieves
Answers
Answer
8
Step-by-step explanation:
Ratio: 40 : 60
Total amount - $20
40/100 x 20
= 8 (ANS)
i hope my answer is correct if not i apologize.
SOMEONE PLSSS HELP ME FAST
WILL MARK BRAINLIEST
Answers
Answer:
D. 45
Step-by-step explanation:
To find out how many games will be played with 10 people, we need to first find the pattern of the given table. To start out, we can see that for the numbers of players added, it adds one each time it goes up one number. And, we can also see that starting at 1 games played, it adds 2 for the next and gets 3 games. Then it adds 3 to get 6 games. So, we can see that for every added person added, it starts at 1 and adds 2, then adds, 3, 4, 5, 6, etc... Knowing this, we can figure out how many games will be played with 10 people.
2 people gets 1 games
+1 +2
3 people get 3 games
+1 +3
4 people get 6 games
So, now we can simply skip to 6 and seven players becuase we know that the pattern holds true to itself.
6 people get 15 games
+1 +6
7 people get 21 games
+1 +7
8 people get 28 games
+1 +8
9 people get 36 games
+1 +9
10 people get 45 games
Multiply (2 – 7i)(–1 + 4i).
Answers
(2-7i) x (-1+4i)
-2+2x4i-7i ( -1) -7i+4i
-2+8i+7i-28i^2
-2+8i+7i-28(-1)
-2+8i+7i+28
26+ 15i
Answer:26 + 15i
Step-by-step explanation: 26+ 15i is the answer because i did the assignemnt
Find the values of x for which the denominator is equal to zero for 3x+5/x-6 .
x = 6
none
x = −5
x = −6
Answers
Answer:
x=6
Step-by-step explanation:
please mark me as brainlest
How many solutions are there to equation square root x = -16
Answers
1. Jill bikes 15 miles in the morning and 17 miles in the afternoon. How many miles does she bike in all? Equation: miles 7 | Lesson 1
Answers
Add the two together:
15 + 17 = 32
total miles = 32
You are building a ramp that must cover a horizontal distance of exactly 28 feet. The angle of the ramp from the ground is 8°. Determine the length of the ramp, in feet.
Answers
The area of the rectangle is
432 square units. If the width
is 24 units, what is the length?
Answers
Answer:
18 units
Step-by-step explanation:
Area = length * width (A = L * w)
So, in order to find the length when given the width and area, you have to divide the area by the width.
432 / 24 = 18
I hope this helps! Have a lovely day!! :)
Smokers: Out of 780 smokers, 376 have been divorced.
Non-smokers: Out of 2855 non-smokers, 902 have been divorced.
a) Find the 95% confidence interval for the proportion of smokers that have been divorced.
b) Find the 95% confidence interval for the proportion of non-smokers that have been divorced.
c) What do the results above indicate about smoking and divorce?
Answers
For statictics of Out of 780 smokers, 376 have been divorced, Non-smokers: Out of 2855 non-smokers, 902 have been divorced, the 95% confidence interval for smokers and non-smokers is mathematically given as
95% confidence interval = (0.5352, 0.4462)95% confidence interval = (0.3424, 0.2894)53% increased risk of divorce for smokers.What is the 95% confidence interval for smokers and non-smokers?Generally, the equation for the Confidence interval is mathematically given as
p ± Z/2[p(1-p)]/n
Where
Z1/2=1-(0.05/2)
Z1/2=0.975
Read z table we have
Z score= 1.96
Hence
0.4907 ± 1.96 (0.4907)(1-0.4907)/485
0.4907±0.0445
Therefore
95% confidence interval = (0.5352, 0.4462)
b)
Z1/2 = 1- (0.05/2)
Z1/2 = 0.975
Z score= 1.96
0.3159 ± 1.96 (0.3159)(1-0.3159)/1184
0.3159±0.0265
Thereofore
95% confidence interval = (0.3424, 0.2894)
c)
In conclusion, The 95% confidence interval helps us read that 53% increased risk of divorce for smokers.
Read more about Confidence interval
https://brainly.com/question/17097944
1. Match the picture of the triangle to the correct name for its center,
Answers
1. d 2. a 3. c 4. b
Step-by-step explanation:[tex]1.d\ \{The\ intersection\ of\ three\ high\ lines\}[/tex]
[tex]2.\ a[/tex]
[tex]3.\ C[/tex]
[tex]4.\ b\ \{The\ intersection\ of\ three\ angular[/tex]
[tex]bisectors\}[/tex]
I hope this helps you
:)
Answer:
dbcaStep-by-step explanation:
Various centers are defined for a triangle, depending on how they're constructed. Here, you're asked to match the construction with the name.
__
OrthocenterThe orthocenter is the intersection of the altitudes of the triangle. Each altitude intersects a vertex and is orthogonal to the opposite side. The orthocenter will not be inside the triangle if the triangle is obtuse. The orthocenter of a right triangle is the right-angle vertex.
Figure D depicts the intersection of altitudes.
__
IncenterThe incenter is the center of an inscribed circle of a triangle. The incenter must be the same distance from each side, so will be at the point of intersection of the angle bisectors. It always lies inside the triangle.
Figure B depicts the intersection of angle bisectors.
__
CentroidThe centroid is the "center of gravity" of the triangle, the point at which the triangle could be balanced. Each median divides the triangle into two equal areas, so the intersection of medians marks a spot with equal area (weight) in every pair of opposite directions.
Figure C depicts the intersection of medians.
__
CircumcenterThe circumcenter is the center of a circle that circumscribes the triangle. It is equidistant from the three vertices, so lies on the intersection of the perpendicular bisectors of the sides. It will lie outside the triangle for obtuse triangles. It is the midpoint of the hypotenuse of a right triangle.
Figure A depicts the intersection of perpendicular bisectors of the sides.
In the diagram, rectangle ABCD is split in half by AC . What is the value of tan x?
Answers
Splitting the rectangle in half creates two right triangles
The value of tan(x) is 4/3
How to determine the value of tan x?To calculate tan(x), we make use of the following tangent ratio
tan(x) = Opposite/Adjacent
From the figure, we have:
Opposite = AD = 4
Adjacent = CD = 3
So, we have:
tan(x) = 4/3
Hence, the value of tan(x) is 4/3
Read more about tangent ratio at:
https://brainly.com/question/1592477
Answer:
4/3
Step-by-step explanation:
the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 56 in, find its length and width
Answers
Answer:
Width: 11.5 inches; Length: 16.5 inches
Step-by-step explanation:
Let l=length and w=width
l=w+5
2(w+5)+2w=56
4w=46
w=11.5, l=16.5
Answer:
Length = 16.5 inchesWidth = 11.5 inches⠀
Step-by-step explanation :
⠀
As it is given that, the length of a rectangle is 5 in longer than its width and the perimeter of the rectangle is 56 in and we are to find the length and width of the rectangle. So,
⠀
Let us assume the width of the rectangle as x inches and therefore, the length will be (x + 5) inches .
⠀
Now, According to the Question :
⠀
[tex]{\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{2 ( x + 5 + x )= 56 }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{2 ( 2x + 5 )= 56 }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{ 4x + 10= 56 }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{ 4x = 56 - 10}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{ 4x = 46}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{ x = \dfrac{46}{4} }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ \underline{ \boxed { \pmb{\mathfrak {x = 11.5}} }}} }\: \: \bigstar[/tex]
⠀
Therefore,
The width of the rectangle is 11.5 inches .⠀
Now, We are to find the length of the rectangle:
[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = x + 5 }}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = 11.5 + 5 }}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{\underline{\boxed { \frak{\pmb{Length = 16.5}}}}}} \: \: \bigstar[/tex]
⠀
Therefore,
The length of the rectangle is 16.5 inches .⠀
5. Gavin makes a homemade cleaner using į cup vinegar
for every 2 quarts of water.
Answers
Answer:
For every 2 quarts of water, ¹/₂ cup of vinegar is used.
⇒ To find the amount of vinegar, divide the number of quarts by 4.
⇒ To find the number of quarts, multiply the amount of vinegar by 4.
4 qt water = 4 ÷ 4 = 1 cup vinegar
1¹/₂ cups vinegar = 1¹/₂ x 4 = 6 qt water
8 qt water = 8 ÷ 4 = 2 cup vinegar
Plot the points on the graph (see second attached image).
Draw a line through the points.
Find 3 along the x-axis and trace up to the line. Trace along to the y-axis.
Therefore, Gavin would need to use 12 quarts of water with 3 cups of vinegar.
Solve for x.
7.5x11=4.85
Enter your answer as a decimal in the box.
x =
Answers
7.5x11 = 4.85
82.5x = 4.85
*divide 82.5 on both sides*
x = 4.85 ÷ 82.5
x = 0.058788
Answer:
0.058787879
Step-by-step explanation:
(7.5)(x)(11)=4.85
82.5(x)=4.85
x=4.85÷82.5
x= 0.058787879
write the fractions in least to greatest
1/5 3/4 1/3 2/4 6/24
Answers
Answer: 1/5 6/24 1/3 2/4 3/4
Step-by-step explanation: bigger the denominator smaller the value.
La medida de cada ángulo interno de un polígono regular es 162º. Hallar el número de lados.
Número de lados=
Answers
Answer:
n = 20
Step-by-step explanation:
[ 180° ( n - 2 ) ] / n = 162°
180 ( n - 2 ) = 162 n
180n - 360 = 162n
18n = 360
n = 20
Here are the types of sandwiches sold in a cafe last week.
Sandwiches
Tuna
Cheese
Chicken
Egg
56 tuna sandwiches were sold.
This was 40% of the total number of sandwiches sold.
(a) Work out the total number of sandwiches sold.
Answers
Answer:
(a) 140 sandwiches
Step-by-step explanation:
The total number sold can be found from the given relation:
56 sandwiches = 40% × total sold
__
Dividing by the coefficient of the variable, we find ...
total sold = (56 sandwiches)/0.40 = 140 sandwiches
The total number of sandwiches sold last week was 140.
50 points
Maya puts groceries into bags. The terms and their weights in kilograms are given below.
Bread 0.27
Bananas 49/100
Cheese 75/100
Carrots 0.49
Grapes 27/100
Eggs 0.75
Plot the weight in kilograms of each item on the number line below
⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
Answers
Answer:
see attached
Step-by-step explanation:
The values are plotted on the number line attached.
__
Each value is represented on the list both as a fraction and as a decimal. Equal values map to the same point on the number line.
0.27 = 27/100
0.49 = 49/100
0.75 = 75/100
The location on the number line is found by effectively dividing the distance between 0 and 1 into 100 parts, then locating the point on the corresponding division. The attached number line shows the interval divided into 50 parts, so the given values will lie halfway between the grid marks on this number line.
Reflections on a Coordinate Plane
Answers
Answer:
The reflection coordinates of JKL would be:
J (3,7)
K (2,3)
L (-1,5)
The reflection coordinates of MNP would be:
M (8,-6)
N (2,-4)
P (8,-4)
Step-by-step explanation:
answer this question
Answers
Hopes this helps :)
9. The rational number that is equal to its negative is zero (0)
10. [tex]\sf \dfrac{1}{3} ( 6 \ * \ \dfrac{4}{3} )[/tex] can be written as [tex]\sf ( \dfrac{1}{3} *6)*\dfrac{4}{3}[/tex] using associate property.
associative property is when numbers are changed within the parenthesis with out the change in result.
formula of associative property : a(bc) = (ab)c