Answer:
x= -4 x= 3
Step-by-step explanation:
x2 + x-12 = 0
Factor
What 2 numbers multiply to -12 and add to 1
4 * -3 = -12
4+3 = 1
( x+4) ( x-3) =0
Using the zero product property
x= -4 x= 3
Answer:
E, F
Step-by-step explanation:
x² + x - 12 = 0
Let’s factor left side.
Find 2 numbers that multiply to get -12 and add to get 1
4 × -3 = -12
4 + 3 = 1
x² - 3x + 4x - 12 = 0
x(x - 3) + 4(x - 3) = 0
(x + 4)(x - 3) = 0
Set factors equal to 0.
x + 4 = 0
x = -4
x - 3 = 0
x = 3
Mr Krishnan earned 2,400 rupees ,he spent 3/8 on food ,1/3 on taxes and 1/6 on other expenses. Find out how much all this in rupees and then find out how much he saved
Step-by-step explanation:
to find his total expenses, add all fraction spent
3/8 + 1/3 + 1/6
= 9+8+ 4/24
= 21/24. = 7/8
total fraction =1
subtract the fraction spent form the total fraction to know the fraction left for savings
1-7/8= 1/8
therefore if. 1 = 2,400
then 1/8=?
if less more divides
1/8 ÷ 1 ×2,400
1/8 × 1/1×2,400
1/8 × 2,400
=300.
therefore the man saved 300 rupees
In a recent study, volunteers who had 8 hours of sleep were three times more likely to correctly on a math test than were sleep-deprived participants.
1) Identify the sample used in the study.
A) The sample is the math questions in the study.
B) The sample is the responses of the volunteers in the study.
C) The sample is the amount of sleep the volunteers got in the study.
D) The sample is the sleep-deprived participants in the study.
2) What is the sample's population?
A) The population is the collection of all the math questions from the math test.
B) The population is the collection of the responses of all individuals who completed the math test.
C) The population is the collection of all the individuals who completed the math test.
3) Which part of the study represents the descriptive branch of statistics?
1) Identify the sample used in the study: B) The sample is the responses of the volunteers in the study
2) What is the sample's population: B) The population is collected of the response of all individuals who completed the math test
3) Which part of the study represents the descriptive branch of statistics:
individuals who are not sleep deprived will be more likely to answer math questions correctly than individuals who are sleep deprived.
hope i helpd
-lvr
Find the inner product for (5, 2)×(-3, 7) and state whether the vectors are perpendicular. a. 1; no b. 1; yes c. -1; no d. -1; yes
Answer:
c. -1; no
Step-by-step explanation:
The inner product of 2 vector (a,b) and (c,d) is:
(a,b)(c,d) = a*c + b*d
If the inner product is equal to 0, the vectors are perpendicular.
So, the inner product of (5,2) and (-3,7) is equal to:
(5, 2)×(-3, 7) = 5(-3) + 2(7) = -1
The inner product is -1, it is different to 0, so the vectors are not perpendicular.
Prove that. 1-sin2A=2sin^2(45-A)
Answer:
Proved
Step-by-step explanation:
2 sin square( 45°-A)
(therefore;
by trigonometry ratios
sin45°=1)
=2sin2(1-A)
=2sin(1-A)
=1+sin2A
hence proved
I HOPE THIS WILL HELP YOU
If yes mark me brainliest and follow me..
Tysm
Which inequality represents all possible solutions of -3(x+5)>12?
its A
Step-by-step explanation:
dividing or multiplying a negative number in this will completely change the sign to opp side
-3x + 15 < 12
-3x < -3
x > 1
Option d i.e x<-9 represents all possible solutions of -3(x+5)>12
What is Inequality?An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.
The given inequality is
-3(x+5)>12
-3x-15>12
-3x>12+15
-3x>27
Divide both sides by 3
-x>9
When we multiply negative sign on both sides the lesser than sign changes to greater.
x<-9.
Therefore option d represents all possible solutions of -3(x+5)>12.
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Order from least to greatest
5% , 33%, 75%, 1/2 and how you lnow?
Answer:
5%, 33%, 1/2, 75%
Step-by-step explanation:
5% , 33%, 75%, 1/2
Change 1/2 to a percent.
1/2 = 0.5 = 0.5 * 100% = 50%
We are comparing
5%, 33%, 75%, 50%
From least to greatest:
5%, 33%, 50%, 75%
Now we convert 50% back to a fraction.
5%, 33%, 1/2, 75%
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides
of this triangle?
O 5cm and 8 cm
O 6 cm and 7 cm
O 7 cm and 2 cm
8 cm and 9 cm
Answer:
Choice D - 8cm and 9cm.
Step-by-step explanation:
The other sides are not greater than 13.
A: 5 + 8 = 13
B: 6 + 7 = 13
C: 7 + 2 = 9
However, D is greater than 13 and is the correct answer.
D: 8 + 8 = 16.
Option d: 8 cm and 9 cm.
There is a theorem in mathematics stating:
" The sum of length of two sides of any triangle is greater than the rest third side"
According to that theorem, first three given options cant form the sides of the given triangle whose one side is 13 cm.
The 4th option has 8 cm and 9 cm for which we have:
8 + 9 > 13
Thus this option follows the theorem.
Hence fourth option is correct.
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Need help ASAP thankyou sorry if u can’t see the picture but u can zoom in :)
Answer:
a)Volume 390ft3. Surface area 450ft2
b)surface area
c)volume
Step-by-step explanation:
2*15*13=390
2*15*2=60+15*13*2=390
The sum of two negative integers is always
Answer:
The sum of two negative integers is always negative.
Step-by-step explanation:
For example, add -1+-1 which =-2, which are the smallest neggative numbers possible.-100+-100=-200, and -4+-4=-8, so you see that the sum of two negative integers should always be negative.
Write an equation of the line that passes through the point (–4, 6) with slope –4.
Answer:
y = - 4x - 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 4 , thus
y = - 4x + c ← is the partial equation
To find c substitute (- 4, 6) into the partial equation
6 = 16 + c ⇒ c = 6 - 16 = - 10
y = - 4x - 10 ← equation of line
Answer:
y = -4x+10
Step-by-step explanation:
Using the slope intercept form of a line
y = mx+b where m is the slope and b is the y intercept
y = -4x +b
Substituting the point in
6 = -4(-4) + b
6 = 16+b
Subtract 16 from each side
-10 =b
The equation is
y = -4x+10
Plz help me the question is in the picture below
Answer:
function 2
Step-by-step explanation:
To do this you would already know that the first function's slope is 1 since r represents the x in slope intercept form. 2 will just be 1/1.1 since if you do y2-y1/x2-x2 you get 1/1.1 as the slope so function 2 will have a greater slope
How many single-scoop cones could be made from a choice of 2 types of cones, 3 flavors of ice cream, and optional toppings of peanuts and/or sprinkles?
Answer:
Number of different cones made = 18
Step-by-step explanation:
Given:
Types of cone = 2
Number of flavors = 3
Number of toppings = 2
Find:
Number of different cones made
Computation:
Number of different toppings = 1(peanuts) + 1(sprinkles) + 1(both) = 3
Number of different cones made = Types of cone × Number of flavors × Number of different toppings
Number of different cones made = 2 × 3 × 3
Number of different cones made = 18
What is the volume of a cylindrical garbage pail with a radius of 10 centimeters and a height of 50 centimeters?
Answer:
500[tex]\pi[/tex] or around 1570
Step-by-step explanation:
The formula for a volume of a cylinder is [tex]r^{2}h\pi[/tex]
The cylindrical garbage pain has a volume of 15700 cm².
What is a cylindrical shape?A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.
Examples of cylinders are toilet paper rolls and cold beverage cans.
The volume of a cylinder is πr²h.
Curved surface area = 2πrh.
Total surface area = 2πr(h + r).
The given cylindrical garbage has a radius(r) = 10 cm and a height(h) of
50 cm.
∴ The volume of the cylindrical garbage is = π(10)²×50 cm².
= 5000π cm².
= 15700 cm².
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Item 25 The linear function m=45−7.5b represents the amount m (in dollars) of money that you have after buying b books. Select all of the values that are in the domain of the function. 0 1 2 3 4 5 6 7 8 9 10
Answer:
[tex]Domain: \{0,1,2,3,4,5,6\}[/tex]
Step-by-step explanation:
Given
[tex]m = 45 - 7.5b[/tex]
[tex]Values: \{0,1,2,3,4,5,6,7,8,9,10\}[/tex]
Required
Select all values that belongs to the domain of the given function
Analyzing the question;
The question says that the function, m represent the amount left after buying b number of books
This means that, after purchasing b books, I'm expected to have a certain m amount of dollars left with me;
This implies that the value of m can never be negative;
So, the domain of m are values of b such that [tex]m \geq 0[/tex]
When b = 0
[tex]m = 45 - 7.5(0)[/tex]
[tex]m = 45 - 0[/tex]
[tex]m = 45[/tex]
When b = 1
[tex]m = 45 - 7.5(1)[/tex]
[tex]m = 45 - 7.5[/tex]
[tex]m = 37.5[/tex]
When b = 2
[tex]m = 45 - 7.5(2)[/tex]
[tex]m = 45 - 15[/tex]
[tex]m = 30[/tex]
When b = 3
[tex]m = 45 - 7.5(3)[/tex]
[tex]m = 45 - 22.5[/tex]
[tex]m = 22.5[/tex]
When b = 4
[tex]m = 45 - 7.5(4)[/tex]
[tex]m = 45 - 30[/tex]
[tex]m = 15[/tex]
When b = 5
[tex]m = 45 - 7.5(5)[/tex]
[tex]m = 45 - 37.5[/tex]
[tex]m = 7.5[/tex]
When b = 6
[tex]m = 45 - 7.5(6)[/tex]
[tex]m = 45 - 45[/tex]
[tex]m = 0[/tex]
When b = 7
[tex]m = 45 - 7.5(7)[/tex]
[tex]m = 45 - 52.5[/tex]
[tex]m = -7.5[/tex]
There's no need to check for other values, as they will result in negative values of m;
Hence, the domain of m are:
[tex]Domain: \{0,1,2,3,4,5,6\}[/tex]
The values that are in the domain of the function are 7, 8, 9 and 10
Linear functionsGiven the linear function m=45−7.5b
where:
b represents the amount m (in dollars) of moneyFor th domain to exist, then;
45 - 7.5b< 0
7.5 b > 45
b > 45/7.5
b > 6
Hence the values that are in the domain of the function are 7, 8, 9 and 10
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Helpp pleaseeeeeeeeeeee
Work Shown:
sin(angle) = opposite/hypotenuse
sin(40) = 24/x
x*sin(40) = 24
x = 24/sin(40)
x = 37.33737184465
x = 37.3
When you use your calculator, make sure it is in degree mode. One way to check is to compute something like sin(30) and you should get 0.5
Answer:
x = 37.3
Step-by-step explanation:
for the specified angle, the ratio of the length of the side that is opposite that angle to the length of the longest side (hypotenuse) of the triangle, it is sine.
[tex]\sin40^o=0.6428[/tex]
From triangle [tex]\sin40^o=\dfrac{24}x[/tex]
so:
[tex]0.6428=\dfrac{24}x\\\\0.6428\,x=24\\\\x=24\div0.6428=37.336652....\approx37.3[/tex]
Allen and Stephan went shopping for Mother's day. Stephan spent $30 for 4 roses and 2 CDs. Allen bought 2 roses and 3 CDs for $40. What was the cost of a rose and a CD?
Answer:
work is shown and pictured
Need help on these appreciate it
Answer:
Circle B:
[tex](x+4)^2+(y+3)^2=4[/tex]
Circle F:
[tex](x-4)^2+(y-1)^2=16[/tex]
Step-by-step explanation:
We can write the equation of a circle equation with center on (h,k) and radius r as:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Then, we analyze the circle will have for the circle B:
- It has a center in x=-4 and y=-3.
- It radius can be calculated from the distance from the center (x,y)=(-4,-3) to one of its points (x,y)=(-4, -1). Then, its radius is r=2.
Then, we can write the equation as:
[tex](x-h)^2+(y-k)^2=r^2\\\\h=-4\\k=-3\\r=2\\\\(x+4)^2+(y+3)^2=4[/tex]
we analyze the circle will have for the circle F:
- It has a center in x=4 and y=1.
- It radius can be calculated from the distance from the center (x,y)=(4, 1) to one of its points (x,y)=(0, 1). Then, its radius is r=4.
Then, we can write the equation as:
[tex](x-h)^2+(y-k)^2=r^2\\\\h=4\\k=1\\r=4\\\\(x-4)^2+(y-1)^2=16[/tex]
In the lab, Goran has two solutions that contain alcohol and is mixing them with each other. Solution A is 40% alcohol and Solution B is 10% alcohol. He uses 800 milliliters of Solution A. How many milliliters of Solution B does he use, if the resulting mixture is a 30% alcohol solution?
Answer:
400milliliters
Step-by-step explanation:
Let x=ml of 30% solution B used in resulting mixture.
800+x=ml of resulting 30% solution
40%(800)+10%x=30%(800+x)
Then we can simplify the expression
0.4(800)+0.10x= 0.30(800+x)
320+0.10x=240+0.30x
80=0.20x
x= 400milliliters
Therefore, 400milliliters of 10% solution B used in resulting mixture.
Quadrilateral ABCD is a kite. A kite. Angle A is 90 degrees, angle B is unknown, angle C is 130 degrees, angle D is unknown. What is the measure of angle B? degrees
Answer:
70 degrees
Step-by-step explanation:
(360 - 90 - 130)/2=70
On August 8, 1981, American Savings offered an insured tax-free account paying 23.24% compounded monthly. If you had invested $90,000 at that time, how much would you have on August 8, 2014, assuming that you could have locked the interest rate at the time of deposit? Someone please help me!!
Answer:
$181,432,754
Step-by-step explanation:
We use the formula for compound interest here, to determine the amount
Mathematically, that would be;
A =I (1 + r/n)^nt
where A is the amount which we want to calculate
I is the initial amount which is $90,000
r is the rate = 23.24% = 23.24/100 = 0.2324
n is the number of times per year the interest is compounded = 12 (compounded monthly)
t is the number of years = 2014 - 1981 = 33
Substituting these values, we have;
A = 90,000(1 + 0.2324/12)^(33 * 12)
A = 90,000(1 + 0.0194)^396
A = 90,000(1.0194)^396
A = 181,432,754.27210504
Which is approximately $181,432,754 to the nearest whole dollars
Solve this linear equation for x: 7 + 4 (5/4x - 1) = 18
Answer:
x=3
Step-by-step explanation:
7+4(5/4x-1)=18
7+5x-4=18
3+5x=18
5x=15
x=3
Answer:
x = 3
Step-by-step explanation:
18 = 7 + 4([tex]\frac{5}{4}[/tex]x - 1)
18 = 7 + 5x - 4
18 = 3 + 5x
15 = 5x
x = 3
a pair of dice rolled many times and the result appears below. based upon these results,what is the experimental probability of rolling a multiple of 3
Answer:
There's no results that appear below
I really need help please
Answer:
1. 2.997
2. 29.93
Step-by-step explanation:
1. You gotta multiply the three sides given, to do this, they all have to be the same unit. Either convert them all to inches or feet then do the operation.
2. Same thing, gotta multiply all given values
Find the perimeter of the shaded figure. Please help,thanks!
Answer:
I believe its 40
Step-by-step explanation:
Answer:
Hey there!
The perimeter can be expressed as 10+7+2+2+6+2+2+7, or 38.
Hope this helps :)
a cord of a circle is a line segment connecting any point on the circle to the center of a circle. true or false?
Answer:
true if I'm wrong I'm so sorry:/
When results from a scholastic assessment test are with their scores are also given. Suppose a test-taker scored at the 78th percentile for their verbal sent to test-takers, the percentiles associated 26) grade and at the 34th percentile for their quantitative grade. Interpret these results.
A) This student performed better than 22% of the other test-takers in the verbal part and better
B) This student performed better than 78% of the other test-takers in the verbal part and better
C) This student performed better than 22% of the other test-takers in the verbal part and better
D) This student performed better than 78% of the other test-takers in the verbal part and better than 66% in the quantitative part. than 34% in the quantitative part.
Answer:
B) This student performed better than 78% of the other test-takers in the verbal part and better than 34% in the quantitative part.
Step-by-step explanation:
In Statistics, Percentile refers to how specific variables can be divided according to the distribution of values in a population of 100 equal groups.
The data value of a given percentile can be determined as 100 times the cumulative relative frequency of that value.
From the given question.
Suppose a test-taker scored at the 78th percentile for their verbal sent to test-takers, the percentiles associated grade and at the 34th percentile for their quantitative grade.
This implies that ;
The student score shows the relation between a particular score of :
78% and the scores of the rest of a group for the verbal test takers &
34% and the scores of the rest of a group for the quantitative test takers.
Therefore; we can conclude that ;
This student performed better than 78% of the other test-takers in the verbal part and better than 34% in the quantitative part.
How much water is wasted by the leaky faucet in 1 day? 15 drips per 30 seconds
Answer:
a. 43,200 drips
b. 4 gallons (approximately, actual value is 3.8)
c. 61 cups(approximately, actual value is 60.8, using 3.8 gallons and not 4 gallons)
Step-by-step explanation:
Here, we have a faucet wasting water at a rate of 15 drips per 30 seconds, now we want to calculate the number of drips wasted in a day
To find this, what we need to do is fund the number of seconds in a day first
There are 24 hours with 60 minutes, with each minute having 60 seconds
So the number of seconds in a day = 24 * 60 * 60 = 86,400 seconds
Now 15 drips is wasted in 30 seconds
x will be wasted in 86,400 seconds
x = (15 * 86400)/30 = 43,200 drips are wasted in a day
b. Mathematically , there are about 3,000 drips in a liter of water
So;
3,000 drips = 1 liter
43,200 drips = x liter
x = 43200/3000 = 14.4 liters of water
Mathematically,
1 liter = 0.264 gallons
So 14.4 liters = 14.4 * 0.264 = 3.8 gallon
which is equal to 4 gallons of water approximately
c. Mathematically;
1 gallon = 16 cups of water
So 3.8 gallons of water will measure 3.8 * 16 = 60.8 which is approximately 61 gallons of water
V
The
to prove A
triangle congruency theorem can be used
2 AONP.
M
N
o
Р
Answer:
The SAS(Side-Angle-Side) triangle congruency theorem can be used to prove Triangle MNL is congruent to ONP.
Step-by-step explanation:
We would use the side-angle-side theorem because the two triangles both have two equal sides and one angle. For instance, side MN has two lines and so does side ON has two lines. Same goes with sides NL and NP.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Answer:
See below
Step-by-step explanation:
The SAS triangle congruency theorem can be used to prove ΔMNL ≅ ΔONP.
The SAS (Side-Angle-Side) postulate will be used because two sides and one angle are congruent.
They are the following:
=> NM ≅ NO (Given)
=> NP ≅ NL (Given)
=> ∠LNM ≅ ∠PNO (Vertical Angles)
Find the surface area and volume of a rectangular prism with the following dimensions: Length = 4 cm, Width = 9 cm, Height = 2 cm
Answer:
the surface area is 124
the volume is 72
Step-by-step explanation:
Hi there! :)
Answer:
SA = 124 cm².
V = 72 cm³
Step-by-step explanation:
Volume of a rectangular prism: V = l × w × h
Given:
l = 4 cm
w = 9 cm
h = 2 cm
V = 4 × 9 × 2
V = 36 × 2
V = 72 cm³
Surface area: SA = 2(wl + hl + hw)
SA = 2((4 · 9) + (2 · 4) + (9 · 2))
SA = 2(36 + 8 + 18)
SA = 2(62)
SA = 124 cm².
Hope this helped you!
Find the equation of the line: With a slope of − 1 2 through (4, 5)
Answer:
y = -1/2x+7
Step-by-step explanation:
We have a slope of -1/2 and a point of (4,5)
Using the slope intercept form of a line
y = mx+b
y = -1/2 x +b
Substituting the point into the equation
5 = -1/2(4) +b
5 = -2+b
Add 2 to each side
5+2 = -2+2+b
7 = b
The equation of the line is
y = -1/2x+7