Answer:
x = −2.24 and x = 2.24
Step-by-step explanation:
16x^2 − 80 = 0
Add 80 to each side
16x^2 =80
Divide each side by 16
x^2 = 80/16
x^2 =5
Take the square root of each side
x = ± sqrt(5)
x = ±2.236067977
Answer:
x = 2.24 OR x = -2.24
Step-by-step explanation:
=> [tex]16x^2-80 = 0[/tex]
Adding 80 to both sides
=> [tex]16x^2 = 80[/tex]
Dividing both sides by 16
=> [tex]x^2 = 80/16\\x^2 = 5[/tex]
Taking sqrt on both sides
=> x = ±√5
=> x = ±2.24
So,
Either,
x = 2.24 OR x = -2.24
Find the domain for the rational function:
Answer:
3rd Option
Step-by-step explanation:
Since the denominator cannot equal 0, x ≠ 5. Therefore, our domain stops and starts again at 5. So our answer is 3rd option.
What fraction of the students are girls give your answer in its simplest form
Answer:
45% of students are female or 15/32
Step-by-step explanation:
We find out their is 72 Boys and 60 Girls
We add both together to get 132 Students
Then we divide to get our number/fraction
60/132 = 15/32 or 45%
MARK AS BRAINLIEST
I NEED HELP ASAP!!!!This table shows how many male and female students attended two different movies. What is the probability that a randomly chosen person from this group an action movie?
Answer:
0.43 is the answer
Step-by-step explanation:
you need to take the total of action movie and divide it by the grand total.
204/478 ≈ 0.43
The probability that a randomly chosen person from this group an action movie is 0.43.
What is probability?Probability refers to the idea that an event may or may not happen. The scenario described here is a mutually exclusive event. We must recall that in cases of a mutually exclusive event, we add probabilities.
Hence;
Probability of a male watching an action movie = 105/479
Probability of a female watching an action movie = 99/479
probability that a randomly chosen person from this group an action movie = 105/479 + 99/479 = 0.43
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2.
What is the next term of the arithmetic sequence 6, 10, 14, 18, ...?
Answer:
22
Step-by-step explanation:
In this sequence, the next number is found by adding 4.
Answer:
22
Step-by-step explanation:
10 - 6 = 4
so, all next numbers have to be added by 4
Mary went up the Old Tower taking 3 steps per second. Then she carefully came down from the tower taking 2 steps per second. It took Mary 25 seconds longer to come down than to go up. How many steps does the Old Tower have?
Answer:
150 steps
Step-by-step explanation:
let the number of steps=x
time taken to go up=1/3×x=x/3 s
time taken to go down =1/2×x=x/2 s
now
[tex]\frac{x}{2} -\frac{x}{3} =25\\multiply ~by~6\\3x-2x=25 \times 6\\x=150[/tex]
am I correct? if not what's the correct anwser?
Answer:
Yes, you are as far as I can tell it looks right to me,
In ∆ABC the angle bisectors drawn from vertices A and B intersect at the point D. Find m∠ADB if:
m∠A = α, m∠B = β
Answer:
Pretty easy (if you know geometry)!
Step-by-step explanation:
First, we know that A and B have angle bisectors. This means the angles that are divided by that angle bisector are equal (or their measures).
Thus, m<DBA= 1/2 Beta; m<DAB=1/2 Alpha.
Time to find m<ADB. Using the sum of all angles in a triangle = 180* theorem, we can come up with this equation:
[tex]180= m<ADB+\frac{1}{2} \alpha +\frac{1}{2} \beta[/tex]
So, solving:
[tex]180-\frac{1}{2} \alpha -\frac{1}{2} \beta =m<ADB[/tex]
So there you go! Hope this helps!
Find the percent of change on an item that was $44 and now costs $66.
Answer:
33.3%
Step-by-step explanation:
the increase in price was $22. Find the ratio
$22
-------
$66
which comes out to 0.33333, or 33.3%.
The percent change in the price of the item is 33.3%.
Answer:
It could be 3.3 i'm not to sure- but the other answer was incorrect
Step-by-step explanation:
When Reshard was born, his uncle bought him a $200 savings bond. When Reshard turns 20 years old, the bond will have earned 130% interest. How much will the bond be worth when Reshard turns 20?
Answer: 260
Step-by-step explanation: When we 200 times 130% we will get 260.
Convert the fraction 19/20 into a decimal
Step-by-step explanation:
19/20 in decimal form is 0.95
Answer:
0.95
Step-by-step explanation:
19 ÷ 20
Divide.
= 0.95
Optimize the equation P = 4x + 3y using the constraints x > 0, x < 4, y <
5. What is the maximum?
a. 13
b. 15
c. -3
d. 31
Answer:
Option D is correct
Step-by-step explanation:
With x < 4 and y < 5:
P = 4x + 3y < 4(4) + 3(5) = 16 + 15 = 31
=> Option D is correct
Given the equation P = 4x + 3y With constraints x > 0, x < 4 and y < 5:
Option D is correct that is 31.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given the equation P = 4x + 3y
With constraints x > 0, x < 4 and y < 5:
The maximum value is
P = 4x + 3y < 4(4) + 3(5)
P = 16 + 15
P = 31
Hence, the Option D is correct.
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30m + 45m = 150 pls help!
Answer:
m = 2
Step-by-step explanation:
30m + 45m = 150
75m = 150
m = 150/75
m =2
Answer:
m = 2
Step-by-step explanation:
30m + 45m = 150
75m =150
÷75 ÷75
m = 2
Help, please. I tried a bunch of different value but none of them matched up. Help if you can,thanks. :))) Andrew goes to the shop to buy some apples and bananas. He goes to purchase 5 apples and 4 bananas, and the total comes to £5.70. Unfortunately, he doesn’t have enough money, so he puts back 1 apple and 2 bananas. The new total is £3.60. What is the cost of 1 apple and the cost of 1 banana?
Answer:
Applies are £0.50 each and bananas £0.80 each.
Step-by-step explanation:
Represent the numbers of apples and bananas by a and b respectively.
Then:
5a + 4b = £5.70, and:
4a + 2b = £3.60
Let's solve this system using elimination by addition/subtraction. Multiply the 2nd equation by -2, obtaining the equivalent system
5a + 4b = £5.70
-8a - 4b = -£7.20
--------------------------
-3a = -£1.50
Dividing both sides by -3, we get £0.50. Apples are £0.50 apiece.
How much are bananas per piece? Use the first equation; substitute £0.50 for a:
5(£0.50) + 4b = £5.70, or
4b = £3.20. Then b = £0.80.
Applies are £0.50 each and bananas £0.80 each.
At a family gathering there are 100 people. There are 4 less than twice as many women as men and 6 more children are both combined. How many children are at the gathering? Pick one option below.
• 55 Children
• 57 Children
• 53 Children
• 59 Children
there are 53 children in the family gathering
Answer:
C = 53
Step-by-step explanation:
WHAT WE KNOW
m + w + c =100
2w - 2 = m
6 + w + m = c
-------------------------
FIND C
What is the solution to (5m)² - (2n-3m)³ if m=-3 and n=5
Answer:
-6634
Step-by-step explanation:
all we have to do is plug in -3 everywhere m is and 5 where n is:
(5(-3))² - (2(5)-3(-3))³
(-15)² - (10+9)³
225 - 6859
-6634
What is the slope of the line that contains the points (-1, 2) and (4, 3)? A. 5 B. 1/5 C. -1/5 D. -5
Answer:
1/5
Step-by-step explanation:
We can find the slope of a line using two points by
m = (y2-y1)/ (x2-x1)
= (3-2)/(4 - -1)
(3-2) /( 4+1)
1/5
Answer:
B. 1/5
Step-by-step explanation:
The slope can be found through two points.
m = rise/run
m = (y2 - y1)/(x2 - x1)
m = (3 - 2)/(4 - (- 1))
m = 1/(4+1)
m = 1/5
Th slope of the line going through the points (-1, 2) and (4, 3) is 1/5.
will mark brain edgiunuity ASAP Eight hundred tickets are sold for a play. Thirty-five percent of those tickets were sold in advance. Which equation can be used to find the number of tickets sold in advance? StartFraction 800 divided by 8 Over 35 divided by 8 EndFraction = StartFraction 100 Over 4.375 EndFraction StartFraction 100 divided by 8 Over 800 divided by 8 EndFraction = StartFraction 12.5 Over 100 EndFraction StartFraction 35 times 8 Over 800 times 8 EndFraction = StartFraction 280 Over 6400 EndFraction StartFraction 35 times 8 Over 100 times 8 EndFraction = StartFraction 280 Over 800 EndFraction
Answer:
D on edge
Step-by-step explanation:
merry christmas my elf on the shelf/Farkle is so good and nice ;)
Answer:
d
Step-by-step explanation:
Origami is the Japanese art of paper folding. The diagram below represents an unfolded paper kabuto, a samurai warriors helmet. From the kabuto below, which of the following are pairs of congruent angles? Check all that apply.
Answer:
A,C,&D
Step-by-step explanation:any funny bur cute romance anime recommendations?
What is the smallest number that is divisible by 1,2,3,4,5,6,7,8,9 and 10? How do you know? (explain) hurry pls
Answer:
The smallest number that is divisible by 1,2,3,4,5,6,7,8,9 and 10 is 2,520.
Step-by-step explanation:
2520/1 = 2520
2520/2 = 1260
2520/3 = 840
2520/4 = 630
2520/5 = 504
2520/6 = 420
2520/7 = 360
2520/8 = 315
2520/9 = 280
2520/10 = 252
With reference to the figure, sin x =
Answer:
0.894
Step-by-step explanation:
Data provided in the question
BC length = 17.89 unit
DC length = 16 unit.
Now, we have to compute the angle y with the help of the cosine function;
Cosine defines the ratio between the right angle adjacent side and the hypotenuse
[tex]\cos = \frac{Adjacent side}{Hpotenuse}[/tex]
As per the triangle BDC;
Hypotenuse = BC =17.89 unit
And, the Adjacent side = 16 units
So;
[tex]\cos y =\frac{16}{17.89} =0.894354388[/tex]
[tex]y =\cos^{-1} (0.894354388) = 26.57^{\circ} (nearest\ to\ hundredths\ place)[/tex]
Now, determine the value of angle x
In right angle ΔABC;
As we know that
The three angles sum is 180 degrees
So,
[tex]\angle A + \angle B +\angle C =180^{\circ} ....(1)[/tex]
According to the given figure
[tex]\angle B=90^{\circ}, \angle A =x^{\circ}[/tex]
and
[tex]\angle C =y=26.57^{\circ}[/tex]
Now Substitute these in (1) for solving the angle x;
[tex]x^{\circ}+90^{\circ}+y^{\circ} =180^{\circ}[/tex]
or
[tex]x^{\circ}+90^{\circ}+26.57^{\circ} =180^{\circ}[/tex]
or
[tex]x^{\circ}+116.57^{\circ} =180^{\circ}[/tex]
[tex]x^{\circ}=180^{\circ} - 116.57^{\circ}=63.43^{\circ}[/tex]
Finally we have to determine the value of sin x;
Hence,
The value of [tex]\sin 63.43 =0.89438856[/tex]
or
= 0.894
Answer:
sin x = 0.894
Step-by-step explanation:
I hope you are refering to this figure:
Hey guys help me find x and measure of angle pleasee
Answer:
95 degrees
Step-by-step explanation:
Since the sum of the angles in a quadrilateral must add up to 360 degrees:
95+85+Z+85=360
Z+265=360
Z=95 degrees
Hope this helps!
Answer:
Z = 95°
Step-by-step explanation:
if W = Y => X = Z => Z = 95°
х
f(x)
Which exponential function is represented by the
values in the table?
-2
16
-1
8
0
4
1
2
O f(x) =
= {(4)
Of(x) = 4(4)
O f(x) = 4(
o f(x) = ( )
2
1
Answer:
it's the first one because it's going down by 1/2
The exponential function represented by the values is f(x) = 4(0.5)ˣ.
Exponential functionAn exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
From the table, at point (0, 4):
4 = ab⁰
a = 4
At point (2, 1):
1 = ab²
1 = 4b²
b² = 0.25
b = 0.5
The exponential function represented by the values is f(x) = 4(0.5)ˣ.
Find out more on Exponential function at: brainly.com/question/12940982
What is the slope of the trend line drawn into the scatterplot? On a graph, a line goes through points (2, 27) and (13, 36). StartFraction 15 Over 163 EndFraction StartFraction 11 Over 109 EndFraction StartFraction 109 Over 11 EndFraction StartFraction 163 Over 15 EndFraction
Answer:
15/163
Step-by-step explanation: I dont have one
Answer:
i think its D
Step-by-step explanation:
what is the answer to...[tex]-\frac{2}{3} (4x-6)+\frac{1}{3}(x-5)[/tex]
What is the volume of the rectangular prism below/described? (Don't forget to label your answer!)

Length= 4 1/2 in. Width= 5 in. Height= 3 3/4 in.
The volume of the prism is ___.
(hint: in2 is inches squared; in3 is inches cubed)
Answer:
Step-by-step explanation:
Volume = Length times width times height.
Here,
Volume = (4.5 in)(5 in)(3.75 in), which, when evaluated by calculator, comes out to 84.375 cubic inches.
This is equivalent to 84 3/8 cubic inches.
Answer:
[tex]84\frac{3}{8}in^3[/tex]
Step-by-step explanation:
V = L * W * H
V = 4 1/2 * 5 * 3 3/4
V = 9/2 * 5/1 * 15/4
V = 675/8
V = 84 3/8
of the methods for solving systems of equations, which is the least accurate and may only give an approximate answer?
a. Graphing
b. Substitution
c. Elimination
d. None, they are all exact.
Graphing is the least accurate method for solving systems of equations, and it may only give an approximate answer. Hence, option A is the right choice.
What is the system of equations?A system of equations is made up of two or more equations that are solved at the same time.
What are the different ways of solving systems of equations?There are three ways to solve a system of equations:
Graphing: All equations are graphed and the point of intersections are the solutions for the system of equations.Substitution: One variable is isolated in one equation, and its value is substituted in the other equation to solve the system of equations.Elimination: Operations are done on all equations to eliminate one variable and then solve for the system of equations.How to solve the question?In the question, we are asked which method for solving systems of equations is the least accurate and may only give an approximate answer.
We have discussed all methods above.
Of these methods, when solving manually, as the degree of the equation gets bigger and bigger, the graphing of equations will become difficult, and thus the graphing method will be the least accurate.
Thus, graphing is the least accurate method for solving systems of equations, and it may only give an approximate answer. Hence, option A is the right choice.
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The ratio of girls to boys at a local elementary school is 3:4.
a. If there are a total of 45 girls in the school, how many boys are there?
b. At another school across town, the ratio of girls to boys is 5:7. How many total
students are there in the school if there are 95 girls at that ratio?
Answer:
a. 60 boys
b. 228 total students
Step-by-step explanation:
a. If there are 45 girls and the ratio of girls to boys is 3:4, then there are 60 boys. The common multiple is 15.
3 * 15 = 45
4 * 15 = 60
45:60 = 3:4
——————————
b. First we need to find out how many boys there are.
95 / 5 = 19
19 * 7 = 133
So, there are 133 boys and the given number of girls is 95. To find out how many total students there are, we need to add 133 and 95.
133 + 95 = 228
When you need to convert from one system of measurement to another, you should convert to the
A. metric system.
B. system that will have the highest number.
C. system that will have the smallest number
D. system used on the medication label.
Find the equation of the line passing
through the points (3,-2) and (4, 6).
y = [? ]x + [ ]
Answer:
y = 8x - 26
Step-by-step explanation:
Since we already have the ending equation in slope intercept form, all we need to do is fill in the blanks. We do that by putting it in point slope form which is [tex]y-y_{1}=m(x-x_{1})[/tex]
(You can plug either point in and get the same result but I'm going to use the first one)
[tex]y-(-2)=8(x-3)[/tex]
Distribute the [tex]m(x-x_{3})[/tex]
[tex]y-(-2)=8x-24[/tex]
Isolate the [tex]y[/tex]
[tex]y-(-2)=y+2[/tex]
[tex]y+2(-2)=8x-24(-2)[/tex]
[tex]y=8x-26[/tex]
And that's your answer!
Which of the following is a testable hypothesis? A. Garden plants grow better in wet soil than in dry soil. B. Cats have a completely different personality in comparison to dogs. C. Classical music is better than jazz because stringed instruments, like violins, are used. D. After a long discussion, the people at the meeting finally agreed that it was time for lunch.
Answer:
A. Garden plants grow better in wet soil than in dry soil.
Step-by-step explanation:
A testable hypothesis is theory that can actually be proven by facts rather than opinions