Answer:
3
Step-by-step explanation:
We know that m= -3 so we plug it into our equation
\(-3^{2}\)+5*-3+9
NOTE: in an equation when a letter is touching a number that means to multiply, that's how i got 5*-3 in the equation.
Now we solve!
\(-3^{2}\)+5*-3+9 = 3
Hope this helps!
help pls ! 15−24÷4⋅2
Answer:
9.28
Step-by-step explanation:
hope this help!!!
So, the uni• What if the regular price of CDs is 5 for $20? What is the unit rate forCDs at the regular price? Explain how you found your answer.Houghton Mifflin Harcourt Publishing Company
Answer:
Step-by-step explanation:
If U =π [r+h], find the value of r when U = 16 whole 1/2 and h =2
remember π= 22/7
need help asap
Answer:
The value of r is 13/4.
Step-by-step explanation:
As per given question we have provided that :
>> U = 16½>> h = 2>> π = 22/7Finding the value of r by substituting the values in the formula :
\(\begin{gathered} \qquad{\implies{\sf{U = \pi \Big[r + h\Big]}}}\\\\\qquad{\implies{\sf{16\frac{1}{2} = \dfrac{22}{7} \Big[r + 2\Big]}}}\\\\ \qquad{\implies{\sf{\frac{33}{2} = \dfrac{22}{7} \Big[r + 2\Big]}}}\\\\\qquad{\implies{\sf{\frac{33}{2} \times \dfrac{7}{22} = \Big[r + 2\Big]}}} \\\\\qquad{\implies{\sf{\frac{\cancel{33}}{2} \times \dfrac{7}{\cancel{22}} = \Big[r + 2\Big]}}}\\\\\qquad{\implies{\sf{\frac{3}{2} \times \dfrac{7}{2} = \Big[r + 2\Big]}}}\\\\\qquad{\implies{\sf{\frac{3 \times 7}{2 \times 2} = \Big[r + 2\Big]}}}\\\\\qquad{\implies{\sf{\frac{21}{4} = \Big[r + 2\Big]}}}\\\\\qquad{\implies{\sf{r = \dfrac{21}{4} - 2}}}\\\\\qquad{\implies{\sf{r = \dfrac{21 - 8}{4}}}}\\\\\qquad{\implies{\sf{r = \dfrac{13}{4}}}}\\\\ \qquad{\star{\underline{\boxed{\sf{r = \dfrac{13}{4}}}}}}\end{gathered}\)
Hence, the value of r is 13/4.
\(\rule{300}{2.5}\)
Solve for b
a) 2b x 3 = 6 c) 6 + 7b = 41
b) 32 - 3b = 2 d) 100/ 5b = 2
a) The solution for b in the equation 2b × 3 = 6 is b = 1.
b) The solution for b in the equation 32 - 3b = 2 is b = 10.
c) The solution for b in the equation 6 + 7b = 41 is b = 5.
d) The solution for b in the equation 100/5b = 2 is b = 10.
a) To solve for b in the equation 2b × 3 = 6, we can start by dividing both sides of the equation by 2 to isolate b.
2b × 3 = 6
(2b × 3) / 2 = 6 / 2
3b = 3
b = 3/3
b = 1
Therefore, the solution for b in the equation 2b × 3 = 6 is b = 1.
c) To solve for b in the equation 6 + 7b = 41, we can start by subtracting 6 from both sides of the equation to isolate the term with b.
6 + 7b - 6 = 41 - 6
7b = 35
b = 35/7
b = 5
Therefore, the solution for b in the equation 6 + 7b = 41 is b = 5.
b) To solve for b in the equation 32 - 3b = 2, we can start by subtracting 32 from both sides of the equation to isolate the term with b.
32 - 3b - 32 = 2 - 32
-3b = -30
b = (-30)/(-3)
b = 10
Therefore, the solution for b in the equation 32 - 3b = 2 is b = 10.
d) To solve for b in the equation 100/5b = 2, we can start by multiplying both sides of the equation by 5b to isolate the variable.
(100/5b) × 5b = 2 × 5b
100 = 10b
b = 100/10
b = 10.
Therefore, the solution for b in the equation 100/5b = 2 is b = 10.
In summary, the solutions for b in the given equations are:
a) b = 1
c) b = 5
b) b = 10
d) b = 10
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bob swarm 4/9 killometers to an island .then he swam 2/9 killometers to a boat how far did he swim in all
Answer:
2/3 kilometers
Step-by-step explanation:
Add the two distances together
4/9 + 2/9 = 6/9
Simplify the fraction by dividing the top and bottom by 3
2/3
Answer:
Step-by-step explanation:
(4/9) + (2/9) = 6/9 = 2/3
NEED HELP!!! 30 POINTS
FIND THE RATIONAL EXPONENT FORM!!
Answer:
Step-by-step explanation:
The root which is 2 is the fractional portion of your exponent
\(\sqrt{x^{7} y^{12} }\)
=\((x^{7} y^{12} )^{\frac{1}{2} }\) >You can distribute 1/2 to each term by multiplying
\(=x^{\frac{7}{2} } y^{6\)
Refer to the Figure. If katarina and chris each divides his/her time equally between the production of meatballs and pizzas, then total production isa.
700 meatballs, 600 pizzasb.
200 meatballs, 150 pizzasc.
400 meatballs, 300 pizzasd.
350 meatballs, 300 pizzas
Yes, it is possible to have negative probabilities in some cases.
It is possible to have a negative probability?
First, for classical experiments, the probability for a given outcome on an experiment is always a number between 0 and 1, so it is defined as positive.
In some cases, we can have probability distributions with negative values, which are associated to unobservable events.
For example, negative probabilities are used in mathematical finance, where instead of probability they use "pseudo probability" or "risk-neutral probability"
Concluding, yes, is possible to have a negative probability.
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Can anyone help?!
(it's a 3 mark question)
Answer:
2x+3x+x-30=180(sum of interior angle of triangle)
6x=180+30
x=210/6=35
Answer:
2x+3x+x-30=180
6x=180+30
x=210/6=35
Step-by-step explanation:
find the area of this figure
The first figure has a 629.86 square metre area.
What is the rectangle's area?The sum of a rectangle's length and breadth gives the area of the rectangle.
Length times width equals the rectangle's area.
To determine the area of the first figure, we must first calculate the combined areas of the rectangle and the semicircles.
This gives us the figure's overall area.
The rectangle measures 28 metres in length. We can observe that the rectangle's length is divided in half by the semicircle's diameter.
Thus, D = 14 m and radius = 7 m.
Area of the 2 semicircles is equal to
= 7x7x7 = 49 square metres
The rectangle's width is equal to 24 minus r.
= 24 - 7 = 17m
Length times width equals the rectangle's area.
28 times 17 is 476 square metres.
The total size is 629.86 square metres.
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Selling price=7950and gain =6% what is the cost price
The seller purchased the product at a cost of 7500 and sold it for 7950, which resulted in a gain of 6%. So, the cost price is 7500.
In business, it is essential to keep track of cost prices and profit margins to ensure profitability. If the selling price is 7950 and the gain is 6%, we can use the following formula to calculate the cost price:
Cost price = Selling price / (1 + Gain%)
Substituting the given values, we get:
Cost price = 7950 / (1 + 0.06)
Cost price = 7500
Therefore, the cost price of the product is 7500, the gain percentage is calculated based on the cost price and not the selling price.
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simplify each expression.
1. 3x + 2(5x - 7)
2. 9 - 3(2x - 4)
3. 8x - 6(3 - 2x)
4. -5 + 5(x + 4)
5. 4 (6n + 9) - 10n
6. 14 - 3(4n - 1)
7. -8n + 8(4 + 2n)
8. 7k - 2(3k + 1) - 9
9. k + 1 - 4(2k - 9)
10. -6 + 5(8 - k) - 8k
11. -10k - 3 + 2(5 + 6k)
12. 8 + 9x + 4(11 - 2x)
13. -4(2x - 7) + 6x - 7
14. 9 + 3(4 - 3x) + 12x
15. 5(2y - 4) + 2(y + 9)
16. -4(3u - 1) +7(3 - 2u)
17. 6(-5u + 1) - 3(4u - 12)
18. -3(u + 5) + 8(2u + 1)
Answer:
1. 13x - 14
2. 21 - 6x
3. 20x - 18
4. 15 + 5x
5. 14n + 36
6. 9 - 12n
7. 8n + 32
8. k - 11
9. -7k +37
10. 36 - 13k
11. 2k + 7
12. 52 + x
13. -2x -21
14. 21 + 3x
15. 12v - 2
Step-by-step explanation:
Answer:
Below ↓
Step-by-step explanation:
\(1)\:\sf 3x + 2(5x - 7)\)
\(\sf 3x+10x-14\)
\(\sf 13x-14\)
____________
\(\sf 2)\: 9 - 3(2x - 4)\)
\(\sf 9-6x+12\)
\(\sf -6x+21\)
____________
\(\sf 3)\: 8x - 6(3 - 2x)\)
\(\sf 8x-18+12x\)
\(\sf 20x-18\)
____________
\(\sf 4)\: -5 + 5(x + 4)\)
\(\sf -5+5x+20\)
\(\sf 5x+15\)
____________
\(\sf 5) \:4 (6n + 9) - 10n\)
\(\sf 24n+36-10n\)
\(\sf 14n+36\)
____________
\(\sf 6)\:14 - 3(4n - 1)\)
\(\sf 14-12n+3\)
\(\sf -12n+17\)
______________
\(\sf 7) \: -8n + 8(4 + 2n)\)
\(\sf -8n+32+16n\)
\(\sf 8n+32\)
______________
\(\sf 8)\:7k - 2(3k + 1) - 9\)
\(\sf 7k-6k-2-9\)
\(\sf k-11\)
______________
\(\sf 9)\: k + 1 - 4(2k - 9)\)
\(\sf k+1-8k+36\)
\(\sf -7k+37\)
_______________
\(\sf 10)\:-6 + 5(8 - k) - 8k\)
\(\sf -6+40-5k-8k\)
\(\sf 34-13k\)
__________________
\(\sf 11)\: -10k - 3 + 2(5 + 6k)\)
\(\sf -10k-3+10+12k\)
\(\sf 2k+7\)
__________________
\(\sf 12)\: 8 + 9x + 4(11 - 2x)\)
\(\sf 8+9x+44-8x\)
\(\sf x+52\)
_________________
\(\sf 13)\: -4(2x - 7) + 6x - 7\)
\(\sf -8x+28+6x-7\)
\(\sf -2x+21\)
_________________
\(\sf 14)\: 9 + 3(4 - 3x) + 12x\)
\(\sf 9+12-9x+12x\)
\(\sf 3x+21\)
_________________
\(\sf 15)\: 5(2y - 4) + 2(y + 9)\)
\(\sf 10y-20+2\left(y+9\right)\)
\(\sf 10y-20+2y+18\)
\(\sf 12y-2\)
____________________
\(\sf 16)\: -4(3u - 1) +7(3 - 2u)\)
\(\sf -12u+4+7\left(3-2u\right)\)
\(\sf -12u+4+21-14u\)
\(\sf -26u+25\)
___________________
\(\sf 17)\: 6(-5u + 1) - 3(4u - 12)\)
\(\sf -30u+6-3\left(4u-12\right)\)
\(\sf -30u+6-12u+36\)
\(\sf -42u+42\)
___________________
\(\sf 18)\: -3(u + 5) + 8(2u + 1)\)
\(\sf -3u-15+8\left(2u+1\right)\)
\(\sf -3u-15+16u+8\)
\(\sf 13u-7\)
______________________________________________
hi pls help me tysm :)
Answer:
80.78°
Step-by-step explanation:
When the 30 cm long string will be bent in the form of a sector it's two sides will be radii of the sector and lower part be the arc. Length of the arc can be found as given below.
Length of the string = 30 cm
radius of sector (r)= 8.8 cm
Length of the arc (l) = 30 - 2*8.8 = 30 - 17.6 = 12.4 cm
Let the sector makes \(\theta\) angle at the centre of the circle.
Formula for length of arc of a sector is given as:
\(\huge \red{l=\frac{\theta}{360\degree}\times 2\pi r}\)
Plugging the values of l and r in the above formula, we find:
\(12.4 = \frac{ \theta}{360 \degree} \times 2(3.14)(8.8) \\ \\\implies12.4 = \frac{ \theta}{360 \degree} \times 55.264 \\ \\ \implies \: \theta = \frac{12.4 \times 360 \degree}{55.264} \\ \\ \implies \: \theta =80.775 \degree \\ \\ \implies \: \theta \approx \: 80.78 \degree\)
Isaac was standing by an apple tree. He noticed that the shadow of the tree measured 270 inches in
length and his shadow measured 111 inches in length. If Isaac is 74 inches tall, how tall is the apple
tree?
270 in
74 in
111 in
180
What is the difference between a linear function and a nonlinear function? Explain what each looks like when represented as a table and as a graph.
The difference between linear and non linear functions are
The degree of linear function is always 1.
Degree of non linear functions are greater than 1
Difference in y is a constant in linear function
For non linear function table , difference in y is not a constant .
The graph of linear function is a line .
The graph of non linear function is a curved shape.
Given :
Linear and non linear functions
Linear function of the form y=mx+b
for example we take linear function f(x)=2x+3
The degree of linear function is always 1.
Degree of non linear functions are greater than 1
When we represents a linear function in a table then there will common difference in y values . Difference in y is a constant.
For non linear function table , difference in y is not a constant .
The graph of linear function is a line .
The graph of non linear function is a curved shape.
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Answer:
Sample Answer: A linear function has a constant additive rate of change, while a nonlinear function does not. For a table of values to be linear, the dependent variable must have a constant rate of change as the independent variable increases by 1. On a graph, the function must be a straight line to be linear.
a. Translate the following statements to their corresponding SYMBOLIC expressions. Be sure to use statement indicators and connective indicators in your translation to produce conditional statements. A TRANSLATION KEY MUST BE PROVIDED FOR EACH EXERCISE (see above for an example).
1) If it is raining, then Jack will not go to the baseball game.
2) I eat, if I'm hungry.
3) Jack watches football on T.V. only if the Ohio State team is playing.
4) Janet plays with weird pets unless it is a tarantula.
5) When I watch a baseball game, I eat several hot dogs.
b. For these five statements above, identify the antecedent and the consequent for each conditional.
If it rains, Jack will not attend the baseball game.
P: It is raining.
Q: Jack will not be attending the baseball game.
P is the antecedent, and Q is the consequent.
(If P is true, then Q is true.)
If it rains, Jack will not be able to attend the baseball game.
What is symbolic expression?Symbolic expression (plural figurative expressions) (computing) A method of representing semi-structured data in human-readable text form that is mostly made up of symbols and lists and is widely used in the Lisp programming language.
Symbolic speech consists of nonverbal, nonwritten forms of communication such as flag burning, arm band wearing, and draught card burning.
A literary symbol is an object, a person, a situation, or an action in a story that has a literal meaning but implies or represents other meanings.
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please help!! i need math help loll
Answer:
x=3
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
3 * 3 * 3 = 27
Hope this helps and pls do mark me brainliest if you can:)
Aubrey has $ -24 in her bank account. A store credits her account with a $10 refund. How much does she now have in the bank?
Jabal and Michael are walking to school and agree to leave their homes at the same time.
Jabal leaves his house walking 2.5 meters per second. Michael leaves his house walking 5 meters per second.
Jabal's house is 15 meters closer to school than Michael's house, therefore he is starting 15 meters closer than Michael.
After how long are the boys walking together? Use any strategy you'd like to solve.
Answer: 6 seconds
Step-by-step explanation:
Time Jabal (2.5mps) Michael (5mps)
Start 15 0
1 sec 17.50 5
2 20 10
3 22.5 15
4 25 20
5 27.5 25
6 30 30
7
8
9
10
Answer:
6 sec
Step-by-step explanation:
Let d = distance for Jabal
d + 15 = distance for Michael
t = d/r
d/2.5 = time for Jabal
(d + 15)/5 = time for Michael
The times are equal since they both started walking at the same time.
(d + 15/5 = d/2.5
2.5(d + 15) = 5d
2.5d + 37.5 = 5d
37.5 = 2.5d
d = 15 m. = Jabal's distance
15/2.5 = 6 sec.
Just put the number and the letter, and super simple explanations help me best :)
Step-by-step explanation:
1d
2b
3c
4a
those are the answers
Answer:
a-2;4
b-2;4
c-1
d-3
Step-by-step explanation:
-4/5=-20/25=-8/10
1/2=2/4
1/3=3/9
Which would be a correct step when evaluating this equation?
-6-(-16)=
Answer:
10
Step-by-step explanation:
\(\mathrm{Apply\:rule}:\quad \:a-\left(-b\right)=a+b\)
\(-6-\left(-16\right)=-6+16\)
\(=-6+16\)
\(\mathrm{Add\:the\:numbers:}\:-6+16=10\)
Hence, Answer = 10
~Lenvy
What is the value of X in the right triangle below, rounded to the nearest hundredth?
The value of x in the right angled triangle is 12.99 in( nearest hundredth)
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
The longest side is the hypotenuse and its always opposite to the right angle. The other two sides are the opposite and adjascent.
sin(tetha) = opp/hyp
cos(tetha) = adj/hyp
tan(tetha) = opp/adj
In this case, the hypotenuse = 15
opposite = x
sin 60 = x/15
x = sin60 × 15
x = 12.99 in( nearest hundredth)
therefore the value of x is 12.99 in
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Which type(s) of symmetry does the uppercase letter H have? (1 point)
reflectional symmetry
point symmetry
reflectional and point symmetry
rotational symmetry
The uppercase letter H has reflectional symmetry and does not have rotational symmetry or point symmetry.
The uppercase letter H has reflectional symmetry. Reflectional symmetry, also known as mirror symmetry, means that there is a line (axis) along which the shape can be divided into two equal halves that are mirror images of each other. In the case of the letter H, a vertical line passing through the center of the letter can be drawn as the axis of symmetry. When the letter H is folded along this line, the two halves perfectly match.
The letter H does not have rotational symmetry. Rotational symmetry refers to the property of a shape that remains unchanged when rotated by a certain angle around a central point. The letter H cannot be rotated by any angle and still retain its original form.
The letter H also does not have point symmetry, which is also known as radial symmetry or rotational-reflectional symmetry. Point symmetry occurs when a shape can be rotated by 180 degrees around a central point and still appear the same. The letter H does not exhibit this property as it does not have a central point around which it can be rotated and remain unchanged.
In summary, the uppercase letter H exhibits reflectional symmetry but does not possess rotational symmetry or point symmetry.
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(b) Work out the value of (2.4 x 10³) x (9.5 x 10³)
Give your answer in standard form.
Answer:
\(2.28*10^7\)
Step-by-step explanation:
\((2.4*10^3)(9.5*10^3)=(2.4*9.5)(10^3*10^3)=22.8*10^6=2.28*10^7\)
Answer:
228,000
Step-by-step explanation:
(2.4x10^3) x (9.5x10^3)
(2.4x100) x (9.5x100)
240x950
228,000
i don’t understand this, soo please help
I’m almost positive the answer would be All real numbers
I will mark you brainliest!!!! Which equation represents a line that passed through the two points in the table?
Answer:
B
Step-by-step explanation:
First calculate the slope. \(\frac{y2-y1}{x2-x1}\). In this case, the slope is \(\frac{4}{5}\).
If you look at all of the answer choices, they are in slope - intercept form. This makes it easier! All you have to do is find an equation with the slope 4/5 that uses the point (4,1) or (9,5).
The standard slope intercept form for a point (a,b) is
y-b = m(x-a).
Remember that two negatives equal a positive.
Substitute in the slope for m and (4,1) or (9,5) for the point (a,b).
PLEASE HELP... In each right triangle, find the missing side length to the nearest tenth.
The side length x of the right angle triangle is 25 units.
How to find the sides of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
The sides of a right triangle can be found using Pythagoras's theorem. Let's use Pythagoras's theorem to find the side x.
Hence,
c² = a² + b²
where
c = hypotenuse sidea and b are the other legsTherefore,
a = 24 units
b = 7 units
Hence,
24² + 7² = x²
576 + 49 = x²
625 = x²
square root both sides of the equation
x = √625
x = 25 units
Therefore,
x = 25 units
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Sarah is pouring soda into papercups. She has 4.5 liters of soda. If each papercup holds 0.25 liters, how many papercups will she fill?
Answer:
18
Step-by-step explanation:
4.5 liters / .25 liters/pcup = 18 pcups
how many different passwords can be made from all the letters in the word CALCULUS ?
Answer:\(\frac{8!}{2!*2!*2!}\) = 5040.
Step-by-step explanation:
Since CALCULUS has 8 letters with 2 indistinguishable C's,
2 indisnguishable L's and 2 indistinguishable U's, the answer is
\(\frac{8!}{2!*2!*2!}\) = 5040.
An airship propelled by some mechanical device travels five miles in ten minutes in the direction of the wind, but requires one hour to go back again to the starting point against the same wind. How long would it have taken to go the whole ten miles in a calm day without any wind? Hint: You don't have to use equations to solve this problem. You can solve it perfectly using math reasoning.
An airship propelled by some mechanical device travels five miles in ten minutes in the direction of the wind, but requires one hour to go back again to the starting point against the same wind. How long would it have taken to go the whole ten miles in a calm day without any wind? Hint: You don't have to use equations to solve this problem.
we have that
5 miles -------> 10 minutes (direction of the wind)
5 miles ------> 1 hour (against the same wind)
therefore
10 miles ------> ? (without any wind)
so
Let
x -----> speed of the wind
y -----> speed of the airship
direction of the wind
speed=d/t ------> 5/10=0.5 miles per min
against the same wind
speed=5/60=1/12 miles per min
so
x+y=0.5 ------> x=0.5-y -----> equation 1
y-x=1/12 -----> equation 2
solve the system
substitute equation 1 in equation 2
y-(0.5-y)=1/12
2y=(1/12)+1/2
2y=7/12
y=7/24=0.2917 miles per min
Find the value of x
x=(1/2)-7/24
x=5/24=0.2083 miles per min
therefore
10 miles without any wind
speed=d/t ------> t=d/speed
t=10/(7/24)
t=34.29 minConstruct a confidence interval for μ assuming that each sample is from a normal population. (a) x
ˉ
=28,σ=4,n=11,90 percentage confidence. (Round your answers to 2 decimal places.) (b) x
ˉ
=124,σ=8,n=29,99 percentage confidence. (Round your answers to 2 decimal places.)
The confidence interval in both cases has been constructed as:
a) (26.02, 29.98)
b) (120.17, 127.83)
How to find the confidence interval?The formula to calculate the confidence interval is:
CI = xˉ ± z(σ/√n)
where:
xˉ is sample mean
σ is standard deviation
n is sample size
z is z-score at confidence level
a) xˉ = 28
σ = 4
n = 11
90 percentage confidence.
z at 90% CL = 1.645
Thus:
CI = 28 ± 1.645(4/√11)
CI = 28 ± 1.98
CI = (26.02, 29.98)
b) xˉ = 124
σ = 8
n = 29
90 percentage confidence.
z at 99% CL = 2.576
Thus:
CI = 124 ± 2.576(8/√29)
CI = 124 ± 3.83
CI = (120.17, 127.83)
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