Answer:
\({ \rm{15x + 3x + 19 = - 17}} \\ \\ { \rm{18x + 19 = - 17}} \\ \\ { \rm{18x = - 17 - 19}} \\ \\ { \rm{18x = - 36}} \\ \\ { \boxed{ \rm{x = - 2}}}\)
Answer:
x = -2Step-by-step explanation:
15x+3x+19= -17 please help me find this answer
15x+3x+19= -17
18x + 19 = -17
18x = -19 - 17
18x = -36
x = -36 : 18
x = -2
---------------
check
15(-2)+3(-2)+19=-17
-30 - 6 + 19 = -17
-17=-17
the answer is good
i am a parent and needhelp with this 11 + 3(9 − 6) − 4
Answer:
i'm sure its 16
Step-by-step explanation:
What is the determinant of matrix A?
Answer:
360
Step-by-step explanation:
(28*15)-(-5*-12) = 420 - 60 = 360
I NEED HELP PLEASE, THANKSSS! :)
Answer: A) max at (14, 6) = 64, min at (0,0) = 0
Step-by-step explanation:
Graph the lines at look for the points of intersection.
Input those points into the Constraint function (2x + 6y) and look for the maximum value and minimum value.
Points of Intersection: (0, 0), (17, 0), (0, 10), (14, 6)
Point Constraint 2x + 6y
(0, 0): 2(0) + 6(0) = 0 Minimum
(17, 0): 2(17) + 6(0) = 34
(0, 10): 2(0) + 6(10) = 60
(14, 6): 2(14) + 6(6) = 64 Maximum
A
-2+
Which graph represents the
function y = tan x?
B
2T
2T
D
-2+1
21
4+
ㅠ
2T
2πT
The graph that represents the function y= tanx is Option A.
What is the description of the above function?The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.
It oscillates between positive and negative infinity, creating a wave- like pattern.
It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.
Thus, option A is the correct answer.
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A player throws a basketball toward a hoop. The basketball follows a
parabolic path that can be modeled by the equation
y=125x² +2.08x + 4. The table models the parabolic path of another
basketball thrown from somewhere else on the court. If the center of the
hoop is at (12,11), will each ball pass through the hoop?
Will the basketball that follows a parabolic path modeled by y=-.125x² +2.08x + 4 pass through the hoop?
yes
No
Will the other basketball, whose path is modeled by the table, pass through the
hoop?!
Yes
No
1. in this exercise you must substitute the value of of x = 12 in the equation of the parable given, if the result is 10 then the ball pass through the hoop
2. Y = (-.125)(12)^2+ (1.84)(12)+6 = -18+22.08+6 = 10.06≅10 , of this form it is demonstrated, that the ball pass through the hoop
Solve the equation: x²-2x=8
Show all the Steps with explanation.
Answer:
x = 4, -2
Step-by-step explanation:
x^2-2x=8
Move the constant term to the right side of the equation.
x^2 - 2x = 8
Take half of the coefficient of x and square it.
(-2/2)^2 = 1
Add the square to both sides of the equation.
x^2 - 2x + 1 = 8 + 1
Factor the perfect square trinomial.
(x - 1)^2 = 9
Take the square root of both sides of the equation.
x-1=\(\sqrt{9}\)
x-1=±3
Isolate x to find the solutions.
Taking positive
x=3+1=4
x=4
Taking negative
x=-3+1
x=-2
The solutions are:
x = 4, -2
Answer:
\(x = -2,\;\;x=4\)
Step-by-step explanation:
To solve the quadratic equation x² - 2x = 8 by factoring, subtract 8 from both sides of the equation so that it is in the form ax² + bx + c = 0:
\(x^2-2x-8=8-8\)
\(x^2-2x-8=0\)
Find two numbers whose product is equal to the product of the coefficient of the x²-term and the constant term, and whose sum is equal to the coefficient of the x-term.
The two numbers whose product is -8 and sum is -2 are -4 and 2.
Rewrite the coefficient of the middle term as the sum of these two numbers:
\(x^2-4x+2x-8=0\)
Factor the first two terms and the last two terms separately:
\(x(x-4)+2(x-4)=0\)
Factor out the common term (x - 4):
\((x+2)(x-4)=0\)
Apply the zero-product property:
\(x+2=0 \implies x=-2\)
\(x-4=0 \implies x=4\)
Therefore, the solutions to the given quadratic equation are:
\(\boxed{x = -2,\;\;x=4}\)
PLEASE HELP!!!!! AND EXPLAIN WHY THIS IS THE ANSWER PLEASE
Answer:
0
Step-by-step explanation:
Answer:
c. 1/x^3
Step-by-step explanation:
x^−3 /x^0
= x^−3−0
= x^−3 = 1/x^3
Four buses carrying 153 high school students arrive to Montreal. The buses carry, respectively, 36, 46, 32, and 39 students. One of the students is randomly selected. Let X denote the number of students that were on the bus carrying this randomly selected student. One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations and variances of X and Y: E(X)
Answer:
E(X) = 38.9346
Var(X) = 25.588
E(Y) = 38.25
Var(Y) = 26.1875
Step-by-step explanation:
Given - Four buses carrying 153 high school students arrive to Montreal. The buses carry, respectively, 36, 46, 32, and 39 students. One of the students is randomly selected.One of the 4 bus drivers is also randomly selected.
To find - Compute the expectations and variances of X and Y.
Proof -
Let us assume that,
X be The number of students that were on the bus carrying this randomly selected student.
Y denote the number of students on his bus.
Now,
E(X) = \(\frac{36(36) + 46(46) + 32(32) + 39(39)}{153}\)
= \(\frac{5957}{153}\)
= 38.9346
⇒E(X) = 38.9346
Now,
E(Y) = \(\frac{36 + 46 + 32 + 39}{4}\)
= \(\frac{153}{4}\)
= 38.25
⇒E(Y) = 38.25
Now,
Var(X) = \(\frac{36(36 - 38.9346)^{2} + 46(46 - 38.9346)^{2} + 32(32 - 38.9346)^{2} + 39(39 - 38.9346)^{2}}{153}\)
= \(\frac{310.0276 + 2296.3144 + 1308.5091 + 0.1668}{153}\)
= \(\frac{3915.0179}{153}\)
= 25.588
⇒Var(X) = 25.588
Now,
Var(Y) = E(Y²) - [E(Y)]²
= \(\frac{36^{2} + 46^{2} + 32^{2} + 39^{2} }{4} - (38.25)^{2}\)
= \(\frac{5957}{4} - 1463.0625\)
= 1489.25 - 1463.0625
= 26.1875
⇒Var(Y) = 26.1875
The list price for a case of medicine is $275.49 Your pharmacy will receive a 18% trade discount. What is the amount of the discount? b) What is the net cost of the case of medicine?
The amount of the discount is $49.59, and the net cost after the discount is applied is $225.90.
What is the amount of the discount?If we have a original price P and we apply a discount of X, where X is a percentage, the amount of the discount is given by the formula:
D = P*(X/100%)
In this case, the original price is $275.49 and the discount is of 18%, then the amount of the discount is:
D = $275.49*(18%/100%) = $275.49*0.18 = $49.59
b) To get the net cost we need to take the difference between the original price and the amount of the discount, we will get:
net cost = $275.49 - $49.59 = $225.90
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At the bakery, Lola owns, the cost of baking and decorating a cake is $17. Lola marks up
cakes by 120% before selling them. How much does the bakery charge for a cake? HELP ME PLEASE
The bakery charge for a cake is $37.4
Given,
In the question:
Lola owns, the cost of baking and decorating a cake is $17.
Lola marks up cakes by 120% before selling them.
To find the how much does the bakery charge for a cake?
Now, According to the question:
Based on the given conditions:
Formulate;
The cost of baking and decorating a cake is $17.
Lola marks up cakes by 120%.
17 x (120% + 1)
Calculate:
17 x (1.2 + 1)
Calculate the sum or difference
17 x 2.2
= $37.4
Hence, The bakery charge for a cake is $37.4
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IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Using the empirical rule, determine the interval that would represent the middle 95% of IQ scores.
Answer:
About 95% of individuals have IQ scores in the interval 100 ± 2 ( 15 ) = [ 70 , 130 ] .
Step-by-step explanation:
hope this helps
HELP ASAP!!! ILL GIVE BRAINLY TO THE ONE THAT ACTUALLY HELPS ME!!!! PLEASE ASAP HELP NO JOKING! PLUS THERE IS 50 POINTS TO THE BRAINLIST
Question 4 (Essay Worth 10 points)
(06.05 MC)
Gina spins a penny 100 times and it lands head side up 38 times. Explain why Gina's experimental probability may be different from the theoretical probability of
spinning a coin
The random nature of the process is why Gina doesn't get the theoretical probability. If she were to repeat this experiment say 1000 or perhaps 10,000 times, then her experimental probability value should get closer to 1/2. It likely won't land *exactly* on 1/2 because again of the random nature of the outcomes.
For more information, check out the Law of Large Numbers.
Answer:
The theoretical probability of spinning a head = 1/2 = 0.5
Therefore, if Gina spins a penny 100 times, the theoretical number of times it will land head side up = 0.5 x 100 = 50 times
Gina's experimental probability is 38/100 = 0.38
Therefore, the experimental probability is less than the theoretical probability.
The main difference between experimental and theoretical probability is that experimental probability is based on the actual results of an experiment (gathered by experimenting repeatedly), whereas theoretical probability is based on possible outcomes based on assumptions.
If Gina continued to spin the penny, as the number of times she spun it increased, you would expect for the experimental probability to get nearer to the theoretical probability of 0.5.
1) (−12) + 7 what is the answer to this problem
What type of transformation takes the graph of f(x) Ixl to the graph of g(x) = 2.5 1x|? O vertical translation of 2.5 units down O vertical compression by a factor of 2.5 O vertical stretch by a factor of 2.5 O vertical translation of 2.5 units up
Vertical Stretch by a factor of 2.5
1) Considering that we have a parent function f(x)= |x| and its transformed one: g(x) = 2.5|x| we can state that there is a factor 2.5 on the parent function that makes the following transformation:
Notice that the g(x) function has been Vertically Stretched by a 2.5 factor
2) Hence, the answer is Vertical Stretch by a factor of 2.5
The base area of a right circular cone is 1/4 of its total surface area. What is the ratio of the radius
to the slant height?
Given:
The base area of a right circular cone is \(\dfrac{1}{4}\) of its total surface area.
To find:
The ratio of the radius to the slant height.
Solution:
We know that,
Area of base of a right circular cone = \(\pi r^2\)
Total surface area of a right circular cone = \(\pi rl+\pi r^2\)
where, r is radius and l is slant height.
According to the question,
\(\pi r^2=\dfrac{1}{4}(\pi rl+\pi r^2)\)
Multiply both sides by.
\(4\pi r^2=\pi rl+\pi r^2\)
\(4\pi r^2-\pi r^2=\pi rl\)
\(3\pi r^2=\pi rl\)
Cancel out the common factors from both sides.
\(3r=l\)
Now, ratio of the radius to the slant height is
\(\dfrac{r}{l}=\dfrac{r}{3r}\)
\(\dfrac{r}{l}=\dfrac{1}{3}\)
Therefore, the ratio of the radius to the slant height is 1:3.
20,000 ten thousands equals how many hundred thousands
20,000 ten thousand equals 2000 Hundred thousand.
As per the question statement, we are provided with a value: "20,000 ten thousand".
We are required to calculate how many hundred thousand are equal to 20,000 ten thousand.
To solve this question, let us first write down 20,000 ten thousand into the numerical format, i.e, \((20000*10,000)=200000000\).
As we know, a hundred thousand when written down in the numerical format becomes 100,000, let us assume that 20,000 ten thousand equals to "x" number of Hundred thousand.
Therefore, we can form a linear equation in one variable "x" based on the condition, in the above-mentioned statement, which goes as \((100,000*x)=200000000\)
\(or, (100,000x)=200000000\\or,x=\frac{200000000}{100,000}\\or,x=\frac{2*10^{8} }{10^5\\}or,x=(2*10^3)\\or,x=2000\)
Hence, 20,000 ten thousands equals 2000 Hundred thousands.
Linear Equation: linear equations: In Mathematics, a linear equation is an algebraic equation which when graphed, always results in a straight Line and hence comes the name "Linear". Here, each term has an exponent of 1 and is often denoted as (y = mx + c) where, 'm' is the slope and 'b' is the y-intercept. Occasionally, it is also called as a "linear equation of two variables," where y and x are the variables.Variable: n Mathematics, a variable is a symbol or a representative of a value, which is unknown.To learn more about Linear Equations, click on the link below.brainly.com/question/27664510
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Which function has the graph shown?
OAY COS
B. y -cos.x
● C. yin x
D. y sin (x)
f
The trigonometric function on the graph is:
f(x)= -cos(x)
So the correct option is B.
Which function is the graphed one?Here we can see the graph of a trigonometric function. We can see that the x-intercept is -1.
Notice that:
sin(0)= 0
cos(0) = 1
So the function can be an inversion over the x-axis of the cosine function, we coulod write this as:
f(x) = -cos(x)
That is the graphed function.
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can u slove ASAP please
Answer:
B) 352
Step-by-step explanation:
45% = 0.45
640 x 0.45= 288
288 is how many students walked to school
So to find how many took the bus to school
640- 288= 352
A school administrator tells everyone in the building that they will be having a fire drill randomly sometime during the school day which is from 8 am to 3 pm. If second period is from 9;00 am to 10 am what is the probability of the fire drill happening during second period?
Probability is expressed as
number of favorable outcomes/number of total outcomes
The total number of hours for the drill between 8am and 3pm is 7
The number of hours for the second period between 9am and 10 am is 1
Thus, the probability of the fire drill happening during second period is
1/7
The product of 4 and the difference of a number and 7.
Answer:
simplified: 4x−28
Step-by-step explanation:
The product of 4 and the difference of a number and 7 can be written as 4(x-7) where x is the number you are looking for.
A man covers a distance of 150m in 1.5mins. Find the average speed in km per hour
Answer:
6 Km / hour
Step-by-step explanation:
Convert distance to Km ( 1 Km = 1000 m )
150 m = 150 ÷ 1000 = 0.15 Km
Convert 1.5 mins to hours ( 1 hour = 60 minutes )
1.5 = 1.5 ÷ 60 = 0.025 hours
average speed = \(\frac{distance}{time}\) = \(\frac{0.15}{0.025}\) = 6 Km / hour
The average speed in km per hour is 6 kilometers per hour
How to determine the average speed?The given parameters are:
Distance = 150 mTime = 1.5 minsConvert meters to kilometers
Distance = 150/1000 km
Distance = 0.15 km
Convert minutes to hours
Time = 1.5/60 hour
Time = 0.025 hour
The average speed is then calculated as:
Speed = Distance/Time
This gives
Speed = 0.15 km/0.025 hour
Evaluate
Speed = 6 kilometers per hour
Hence, the average speed in km per hour is 6 kilometers per hour
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The minute hand of a clock is 4 inches long. How far does the tip of the minute hand move in 35 minutes? If necessary, round the answer to two decimal places.
Answer:
14.66 inches
Step-by-step explanation:
Calculation for How far does the tip of the minute hand move in 35 minutes
The tip of a minute hand will always travels at 360 degrees in an hour ( 60 minutes)
Hence, the tip of the minute hand
distance will be calculated using this formula
Circumference of a circle=2*π*Radius* Clock Tip hand movement/Number of minutes per hour
Let plug in the formula
Circumference of a circle==2*π*4 inches*35 minutes/60 minutes
Circumference of a circle= =2*π*4 inches*0.58333
Circumference of a circle==14.659 inches
Circumference of a circle==14.66 inches (Approximately)
Therefore How far does the tip of the minute hand move in 35 minutes will be 14.58 inches
what is 3+3-2 divided by 2
A wet sock is stuck onto the inner wall of a washing machine drum as it rotates at a steady speed the graph shows the sock displacement y, in inches, from the center of the drum, for a given number of seconds, X what is the diameter of the washing machine drum?
The diameter of the washing machine which is equivalent to the wavelength using the graph above would be = 2.5in.
How to determine the diameter of the washing machine's drum?To calculate the diameter of the washing machine drum, the formula that should be used is given below as follows;
V = fλ
where
V = displacement/time
F = 1/T
But;
Displacement = 10 in
Time = 2 seconds
V = 10/2 = 5 in/s
F = 1/2 = 0.5
λ = 5/0.5 = 2.5in
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Use the graph of f(x) to find the solutions to the equation f(x)=0.
A. Two Solutions: x = -4, 7
B. Two Solutions: x = 4, -7
C. One Solution: x = 28
D. No Solution
Answer: A
In looking for solutions in the graph of y=f(x) where f(x) = 0, you're looking for the x-intercepts. The catch is that you only want the x-value of the intercepts.
The intercepts are (-4,0) and (7,0), so the solutions are -4 and 7.
Please help. Miguel had 2 bags containing number tiles as shown below. Without looking, Miguel selected one tile from each bag. What is the probability that Miguel selected two numbers less than 3?
The probability of Miguel selecting a tile number less than 3 from each bag -1 is 1/5 and bag-2 is 2/5.
The given tiles in bag-1 = {2, 4, 5, 8, 9}
Total number of tiles in bag-1 = 5
The number of tiles less than number 3 in the bag - 1 = 1
The probability of Miguel selecting a tile number less than 3 =
number of tiles less than 3 / total number of tiles = 1/3
The given tiles in bag-2 = {0, 1, 3, 6, 7}
Total number of tiles in bag-2 = 5
The number of tiles less than number 3 in the bag-2 = 2
The probability of Miguel selecting a tile number less than 3 =
number of tiles less than 3 / total number of tiles = 2/3
From the above analysis, we solved the problem.
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Mariana baked 14 cakes. She gave 1/7 of them to her family before she took the rest to a party. How many cakes did Mariana give to her family?
Answer:
2
Step-by-step explanation:
14·\(\frac{1}{7}\)=2
Answer:
2
Step-by-step explanation: 1/7th's of 14 is 2.
1/7 x 14 = 2.
Pls help step by step (special right triangles)
Value of base and hypotenuse of triangle are 9√3 and 18 respectively.
Define right triangleA right triangle is a triangle with one interior angle measuring 90 degrees, known as a right angle. The side opposite to the right angle is called the hypotenuse, and the other two sides are known as the legs of the right triangle. The length of the hypotenuse can be found using the Pythagorean theorem, that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
Height of triangle=9
Base of triangle=y
Hypotenuse of triangle=x
Using trigonometric ratio
Sin30°=Height/Hypotenuse
½=9/x
x=18
Cos30°=Base/hypotenuse
√3/2=y/18
y=9√3
Hence, value of base and hypotenuse of triangle are 9√3 and 18 respectively.
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Choose all options that apply. Which of the following are equal to 20%? | a) .25 b) 1/5 Oc) 1/10 d) .20
Answer:
1/5
Step-by-step explanation:
Because 5 times 20 equals 100 and 1/5 is 20/100 or 20%
Answer:
D.) .20
Step-by-step explanation:
if you move the decimal two places to the right then replace it with a %, you will get 20%. Hope this helps!
Accidental question that had been put out
Answer:
Step-by-step explanation:
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