Answer:
-6.
Step-by-step explanation:
y = x - 6
y = 6x - 19
To eliminate x the first equation should be multiplied by -6 giving:
-6y = -6x + 36
Adding this to the second equation will eliminate x.
Type the correct answer in each box. If necessary, use / for the fraction bar. A bag contains 5 blue marbles, 2 black marbles, and 3 red marbles. A marble is randomly drawn from the bag. The probability of not drawing a black marble is . The probability of drawing a red marble is .
Answer:
Step-by-step explanation:
Problem One
Blue = 5
Black =2
Red = 3
First of all there are 10 marbles, 2 of which are black.
That means that 8 others are not black
You can draw any one of the 8.
P(not black) = 8/10 = 4/5
Problem Two
There are 10 marbles in all
3 of them are red.
P(Red) = 3/10
Answer:
See image
Step-by-step explanation:
Palto
What is the value of y?
3/3 units
53 units
9 3 units
12/3 units
Answer:
[tex]y=6\sqrt{3}[/tex]
Step-by-step explanation:
Using the Pythagoras theorem for triangle MTU,
[tex]TU^2+3^2=6^2[/tex]
[tex]TU^2+9=36[/tex]
[tex]TU^2=36-9[/tex]
[tex]TU^2=27[/tex]
[tex]TU^2=27[/tex]
From, triangle NTU,
[tex]y^2=TU^2+NU^2[/tex]
This implies that:
[tex]y^2=27+9^2[/tex]
[tex]y^2=27+81[/tex]
[tex]y^2=108[/tex]
[tex]y=\sqrt{108}[/tex]
[tex]y=6\sqrt{3}[/tex] units.
Answer:
The value of y=6√3 units.
Step-by-step explanation:
edge2020
Sarah rolled a number cube numbered 1 to 6. The table below shows the results of rolling the cube 50 times. Use the results in the table to find the experimental probability.
Answer “P(3)”
If P(3) stands for the probability of the number 3 getting rolled, since 3 was rolled 5 times (as shown on the graph) out of 50 (as mentioned in the question), the experimental probability would be: 5/50, which when simplified, is 1/10
The student is asked to calculate the experimental probability of rolling a 3, but the specific frequency Sarah rolled a 3 is not provided. Without this, we cannot compute the experimental probability. Generally, the method involves dividing the number of times a 3 was rolled by the total number of rolls.
Explanation:The question asks for the experimental probability of rolling a 3 on a six-sided die based on the results Sarah obtained from her 50 rolls. However, the provided information does not include the actual frequency of rolling a 3 in her experiment. If we had that data, the experimental probability P(3) would be the number of times a 3 was rolled divided by the total number of rolls (50 in Sarah's case).
For example, if Sarah rolled a 3 ten times out of 50, then the experimental probability of rolling a 3 would be calculated as follows: P(3) = 10/50 = 1/5. Without the specific results of Sarah's rolls, we cannot determine the experimental probability from the information given in the question.
To help solve the trigonometric inequality 2sin(x)=>-1, which two equations can be graphed?
A. y=sin(x) and y=-1
B. y=sin(x) and y=-1/2
C. y=sin(x) and y=1/2
D. y=sin(x) and y=1
Answer:
B. y=sin(x) and y=-1/2
Step-by-step explanation:
We have been given the following trigonometric inequality;
2sin(x)=>-1
The above inequality can be re-written as;
sin(x)=>-1/2
after dividing both sides by 2.
We can then formulate two separate equations, one containing the expression on the right hand side and the other containing the expression on the left hand side;
From the left hand side we form the following equation;
y = sin(x)
From the right hand side we form the following equation;
y = -1/2
Therefore, the above two equations can be graphed to help solve the given trigonometric inequality
Answer: B
y=sin(x) and y=-1/2
Step-by-step explanation:
Help ASAP WILL GIVE BRAINLIEST AND 10 POINTS
Answer: She Is Not Correct The Answer Is 24
Step-by-step explanation: The answer is 24. This is because when you have order of operations, you always do parentheses first. (27-9) equals 18. Then multiply it by 3 so do 20 times 3 and then subtract 6 and you get 54. Then divide 54 by 9 and you get 6. 6+18 does not equal 42 so it would be the third one.
-HAVE A GREAT DAY-
Answer:
the answer is C.
Step-by-step explanation:
using pemdas you start with parenthesis,
(27-9)*3÷9+18=42
18*3÷9+18=42 . use rules of multiplication and division
54÷9+18=42 divide again
6+18=42 add
24=42
this is false because the numbers don't match up on the left and right side, so 24 is the real answer.
Kellianna drives 118 miles each day how many does she drive in 31 days?
Answer: 3,658 miles
Step-by-step explanation:
118 x 31 = 3,658 miles
Multiply the daily value by the number of days to find the total.
Answer:
3,658
Step-by-step explanation:
So if Kellianna drives 118 Miles each day you would simply multiply the 118 x 31 (Days) = 3,658
Which statements about the box plot are correct? Check all that apply.
Fifty percent of the data values lies between 34 and 46.
Seventy-five percent of the data values lies between 42 and 70.
It is unlikely that there are any outliers.
The interquartile range'is 24.
The range is 36
Answer:
The correct options are 1 and 3.
Step-by-step explanation:
From the given box plot it is clear that
[tex]\text{Minimum values}=34[/tex]
[tex]Q_1=42[/tex]
Q₁ is 25% of a data.
[tex]Median=46[/tex]
Median is 50% of a data.
[tex]Q_3=70[/tex]
Q₃ is 75% of a data.
[tex]\text{Maximum values}=76[/tex]
34 is minimum value of the data and 46 is median it means 50% of the data values lies between 34 and 46. Therefore option 1 is correct.
42 is first quartile and and 70 is third quartile. it means 50% of the data values lies between 42 and 70. Therefore option 2 is incorrect.
The difference between Minimum value and first quartile, Maximum value and third quartile is less than 1.5×(IQR), therefore it is unlikely to have any outliers in the data.
Hence option 3 is correct.
The interquartile range of the data is
[tex]IQR=Q_3-Q_1[/tex]
[tex]IQR=70-42=28[/tex]
The interquartile range is 28. Therefore option 4 is incorrect.
Range of the data is
[tex]Range=Maximum-Minimum[/tex]
[tex]Range=76-34=42[/tex]
The range is 42. Therefore option 5 is incorrect.
Answer:
A,C
Step-by-step explanation:
got it right on edge 2021
have a wonderful day
How many square feet of outdoor carpet will we need for this hole?
Answer:
6 ft^2 and 2ft^2
Step-by-step explanation:
Multiply the height and length of each hole to get the answers. Not sure if you wanted both or not.
Answer:
im on the same question but i think u just have to multiply length times width for all of them then u subtract. hope it helps
Step-by-step explanation:
Simplify the expression.
For this case we must simplify the following expression:[tex](x ^ {\frac {3} {2}}) ^ 6[/tex]
We have that by definition of properties of powers that is fulfilled:
[tex](a ^ n) ^ m = a ^ {n * m}[/tex]
Then, rewriting the expression:
[tex]x ^ {\frac {3 * 6} {2}} =\\x ^ {\frac {18} {2}} =\\x ^ 9[/tex]
ANswer:
Option D
Brainliest + Points
Can someone please help? Kind of struggling. Would you please explain
In 2008, Adam Lopez set a world record by singing the highest note ever recorded, a C8. That is four octaves above middle C and not on a normal piano keyboard. What is the frequency to the nearest hertz of this musical note if its period is 0.00024?
A.
1,873 hertz
B.
2,631 hertz
C.
3,845 hertz
D.
4,167 hertz
Answer:
ok friend so the answer is :) D
Step-by-step explanation:
because
Freq = 1 / Period
Freq = 1 / 0.00024 = 4166.66 Hz = 4167 Hz
:)
The frequency of the C8 note set by Adam Lopez is the inverse of its period of 0.00024 seconds. Calculating 1/0.00024 gives a frequency of 4166.67 Hz, which rounds to d) 4167 Hz.
The frequency of a musical note is the inverse of its period. The period is the amount of time it takes for one complete cycle of the sound wave. If Adam Lopez's record-setting C8 has a period of 0.00024 seconds, we can calculate the frequency as follows:
FrequencyTo the nearest hertz, the frequency of the C8 note is 4167 hertz.
The correct answer is D. 4167 hertz.
The graph shows the feasible region for the system with constraints:
y ≤ 15 x + y ≤ 25 x + 2y ≥ 30
What are the vertices of the feasible region? Check all of the boxes that apply.
(0, 25)
(0, 15)
(10, 15)
(20, 5)
(25, 0)
(30, 0)
What is the minimum value of the objective function C = 4x + 9y?
C =
Answer:
The vertices feasible region are (0 , 15) , (10 , 15) , (20 , 5)
The minimum value of the objective function C is 125
Step-by-step explanation:
* Lets look to the graph to answer the question
- There are 3 inequalities
# y ≤ 15 represented by horizontal line (purple line) and cut the
y-axis at point (0 , 15)
# x + y ≤ 25 represented by a line (green line) and intersected the
x-axis at point (25 , 0) and the y- axis at point (0 , 25)
# x + 2y ≥ 30 represented by a line (blue line) and intersected the
x-axis at point (30 , 0) and the y-axis at point (0 , 15)
- The three lines intersect each other in three points
# The blue and purple lines intersected in point (0 , 15)
# The green and the purple lines intersected in point (10 , 15)
# The green and the blue lines intersected in point (20 , 5)
- The three lines bounded the feasible region
∴ The vertices feasible region are (0 , 15) , (10 , 15) , (20 , 5)
- To find the minimum value of the objective function C = 4x + 9y,
substitute the three vertices of the feasible region in C and chose
the least answer
∵ C = 4x + 9y
- Use point (0 , 15)
∴ C = 4(0) + 9(15) = 0 + 135 = 135
- Use point (10 , 15)
∴ C = 4(10) + 9(15) = 40 + 135 = 175
- Use point (20 , 5)
∴ C = 4(40) + 9(5) = 80 + 45 = 125
- From all answers the least value is 125
∴ The minimum value of the objective function C is 125
The vertices of the feasible region are (0, 15), (10, 15), and (20, 5). The minimum value of the objective function C = 4x + 9y is 190 at the vertex (10, 15).
The feasible region is the area on a graph where all the constraints of a system of inequalities are satisfied. To find the vertices of the feasible region, we need to find the intersection points of the lines formed by the given constraints. By solving the system of equations, we find that the vertices of the feasible region are (0, 15), (10, 15), and (20, 5).
To find the minimum value of the objective function C = 4x + 9y, we substitute the x and y values of each vertex into the objective function and determine which vertex gives the smallest value. By evaluating the objective function at each vertex, we find that the minimum value is obtained at the vertex (10, 15) with a value of 4(10) + 9(15) = 190.
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How do you explain ratios?
A ratio is the part divided by the whole. Johnny took 3 pieces of pizza when the whole pizza had 8. Johnny has 3/8 (3 out of 8) pieces of pizza, or .375 parts. To find that number, literally divide your part from your whole to get the decimal form.
13 metres long and 8 metres wide what is the area
13 x 8= 104
hope this helps!
The Bucio family wants to buy a new car which has a list price of $18,000. The salesperson is offering a discount of $3,000. What is the rate of the discount? ( rounded to the nearest whole percent)
Answer:
Discount Rate=17%
Step-by-step explanation:
We know the price and discount of the car. The formula for calculating the discount when rate is given is:
[tex]Discount=Listed\ price*discount\ rate[/tex]
We know two quantities out of three, so putting in the known values:
[tex]3000=18000*rate\\rate=\frac{3000}{18000}\\Rate=16.67%[/tex]
The rate rounded off to nearest percent will give us:
17 percent.
So the discount rate is 17% ..
When rounded to the nearest whole percent, the discount rate is 17%.
To calculate the rate of the discount for the Bucio family's new car purchase, we will use the formula for finding the percentage rate of a discount, which is:
Discount Rate = (Discount Amount / Original Price) x 100.
In their case, the car has an original list price of $18,000, and they are offered a discount of $3,000. Plugging these values into the formula gives us:
Discount Rate = ($3,000 / $18,000) x 100
Discount Rate = 0.1667 x 100
Discount Rate = 16.67%
When rounded to the nearest whole percent, the discount rate is 17%.
Which amount should be entered for the balance after Anna transfers money from savings on 6/3/18?
A) $1416.42
B) $1516.42
C)$1660.32
D) $1670.52
B is the correct answer
Find The mass of a solid cone of platinum with a height of 21 cm and a diameter of 8 cm.
For this case we have that by definition, the density is given by:
ρ =[tex]\frac {M} {V}[/tex]
Where:
M: It's the mass
V: It's the volume
The volume of a solid cone is given by:
[tex]V = \frac {1} {3} \pi * r ^ 2 * h[/tex]
Where:
A: It's the radio
h: It's the height
Substituting the data we have:
[tex]V = \frac {1} {3} \pi * (4) ^ 2 * 21\\V = \frac {1} {3} \pi * 16 * 21\\V = 401.92 \ cm ^ 3[/tex]
On the other hand, we have that by definition, the density of the platini is given by:
[tex]21.45 \frac {g} {cm ^ 3}[/tex]
Substituting in the initial formula, we look for the mass:
[tex]M = 401.92 \ cm ^ 3 * 21.45 \frac {g} {cm ^ 3}\\M = 8621.184 \ g[/tex]
ANswer:
The mass of the platinum cone is 8621.2 grams.
To find the mass of a solid platinum cone with a height of 21 cm and a diameter of 8 cm, calculate the volume using the formula for a cone (⅓πr²h) and then multiply by platinum's density (21,450 kg/m³) to get approximately 30.342 kg.
Explanation:Calculate the Mass of a Platinum Cone
To determine the mass of a solid cone made of platinum with a given height and diameter, we must first calculate its volume and then use the density of platinum to find its mass. The density of platinum is approximately 21,450 kg/m³. The volume of a cone is given by the formula ⅓πr²h, where r is the radius and h is the height. For our cone with a height (h) of 21 cm and a diameter of 8 cm, the radius (r) would be half of the diameter, so r = 4 cm = 0.04 m. Plugging the values into the formula, we get:
Volume (V) = ⅓π(0.04 m)²×21 cm = ⅓π(0.0016 m²)× 0.21 m = 0.0014136 m³.
To find the mass (m), we multiply the volume by the density of platinum (ρ):
Mass (m) = Density (ρ) × Volume (V) = 21,450 kg/m³ × 0.0014136 m³ = 30.342 kg.
Therefore, the mass of the solid platinum cone is approximately 30.342 kilograms.
If the zeros of the quadratic equation x^2+25=0 are +-5 (plus-minus 5), what is the correct factored form?
(x+5)(x-5)=0
(x+5i)(x-5i)=0
(x+12.5i)(x-12.5i)=0
(x+12.5)(x-12.5)=0
ANSWER
[tex](x + 5i)(x - 5i) = 0 [/tex]
EXPLANATION
The given function is
[tex] {x}^{2} + 25 = 0[/tex]
The zeros of this function are;
[tex]x = \pm5i[/tex]
Or
[tex]x = - 5i \: and \: x = 5i[/tex]
[tex]x + 5i = 0\: and \: x - 5i = 0[/tex]
Hence the factored form is:
[tex](x + 5i)(x - 5i) = 0 [/tex]
If the equation were:
[tex] {x}^{2} - 25 = 0[/tex]
Then the factored form is
[tex](x + 5)(x - 5) = 0 [/tex]
Thirty percent of check engine lights turn on after 100,000 miles in a particular model of van. The remainder of vans continue to have check engine lights that stay off.
Simulate randomly checking 25 vans, with over 100,000 miles, for check engine lights that turn on using these randomly generated digits. Let the digits 1, 2, and 3 represent a van with check engine light that turn on.
96408 03766 36932 41651 08410
Approximately how many vans will have check engine lights come on?
Answer:
7
Step-by-step explanation:
Given:
Simulation of randomly checking 25 vans, with over 100,000 miles=
96408 03766 36932 41651 08410
Here the digits 1, 2, and 3 represent a van with check engine light that turn on.
Approximately how many vans will have check engine lights come on?
From the above given data the digits 1, 2 and 3 that represented the particular model of van having check engine lights on are repeated 7 times in the simulation of randomly checking 25 vans, with over 100,000 miles
Hence 7 vans will have check engine lights come on!
In a simulation using the provided set of digits, we find that out of 25 vans, approximately 6 have check engine lights that turn on.
Explanation:To solve this problem, we'd first identify all the digits that are either 1, 2, or 3 within the provided sequence of randomly generated digits. These digits, according to your problem, represent vans with check engine lights that turn on. The string you provided is 96408, 03766, 36932, 41651, and 08410.
Upon counting, the following digits in the string are 1, 2, or 3: '3', '2', '3', '1', '1', and '1'. This gives us a total of 6 occurrences.
Therefore, based on this simulation, if we were to randomly check 25 vans with over 100,000 miles, approximately 6 of them would have check engine lights that come on.
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What solid will be produced if rectangle ABCD is rotated around line m? Assume that the line bisects both sides it intersects. What will the dimensions of the three-dimensional solid be?
rectangular prism; length = 12 in.; width = 6 in.; height = 5 in.
triangular prism; length = 12 in.; width = 6 in.;
height = 5 in.
cylinder; radius = 12 in.; height = 5 in.
cylinder; radius = 6 in.; height = 5 in.
Answer:
D) cylinder; radius = 6in.; height = 5 in.
The solid produced if rectangle ABCD is rotated around line m is a cylinder with radius of 6 in and height of 5 in.
What is a solid figure?
A solid figure is a three dimensional shape having length, width and height. Examples of three dimensional figures are prism, pyramid, cone, cylinder and so on.
The solid produced if rectangle ABCD is rotated around line m is a cylinder with radius of 6 in and height of 5 in.
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What are the solutions of the equation 2x² = 18? Use a graph of the related function.
The solutions of the equation 2x² = 18 are x = 3 and x = -3.
Explanation:To find the solutions of the equation 2x² = 18, we need to solve for x.
We can start by dividing both sides of the equation by 2, which gives us x² = 9.
Next, we can take the square root of both sides to find the solutions. The square root of 9 is 3, so the solutions are x = 3 and x = -3.
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The equation 2x² = 18 has two solutions, x = 3 and x = -3, which can be determined both algebraically and graphically by observing the points where the parabola f(x) = 2x² - 18 intersects the x-axis.
The solutions of the equation 2x² = 18 can be found by first dividing both sides of the equation by 2, which simplifies to x² = 9. This is a standard quadratic equation which can be further solved by taking the square root of both sides. The solutions are x = 3 and x = -3. If we graph the related function, which is f(x) = 2x² - 18, we will see a parabola opening upwards with its vertex at the origin (0,0), and it will intersect the x-axis at the points (3,0) and (-3,0), representing our solutions.
To use a graph of the related function, we can plot the equation 2x² - 18 = 0 on a graph and find the x-values where the graph intersects the x-axis. These x-values correspond to the solutions of the equation.
Find the value of y. Please help
4y-7=2y-1
Subtract 2y from both sides
2y-7=-1
Add 7 to both sides
2y=6
Y=3
Given: BD is a diameter
m 1 = 100°
m BC= 30°
m 3 =
30
60
100
Answer:
30°
Step-by-step explanation:
Given
BC=30°
Central abgle is equal to its arc
so <3=30°
Answer:
The answer is 30
Step-by-step explanation:
If the endpoints of have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of ?
A.
(5, 3)
B.
(4, 5)
C.
(5, 5)
D.
(4, 3)
Answer:
the answer is D (4,3)
Step-by-step explanation:
Find interest earned and the future value of an annuity with monthly payments of $150 for two years into an account that pays 4% interest per year compounded monthly.
Answer:
interest earned= 12.47
the future value of an annuity= 162.47
Step-by-step explanation:
Given Data:
Interest rate,r= 4%
time,t = 2 years
monthly payment, P= 150
n= 12 as monthly
At the end of 2 years, final investment A= ?
As per the interest formula for compounded interest
A= P(1+r/n)^nt
Putting the values in above equation
= 150(1+0.04/12)^24
= 162.47
Interest earned = A-P
= 162.47-150
= 12.47 !
how can rebecca divide 3/4 of a cake into 9 pieces. What fraction of the whole cake will each piece be?
Answer:
each slice will be 1/36
Step-by-step explanation:
1/4 • 1/9 equals 3/36
Final answer:
Rebecca can divide ¾ of a cake into 9 pieces by finding the fraction of each piece relative to the whole cake, which is ⅛ or one-twelfth of the whole cake.
Explanation:
How to Divide a Cake into Equal Pieces
To divide ¾ of a cake into 9 equal pieces, Rebecca must consider how many pieces the whole cake can be divided into first. Since she has three-quarters of a cake, and she wants to make 9 pieces out of it, each piece will be one-ninth of the three-quarters of a cake. To find out the size of each piece relative to the whole cake, she divides ¾ by 9. This can be calculated as ¾ × ⅟, which simplifies to ⅛. This means that each piece of cake will be one-twelfth of the whole cake.
Understanding fractions such as halves, thirds, and quarters is useful in daily life and in solving problems like these. Knowing that a quarter is 25 cents makes it easier to grasp a quarter of a pie or cake. If you can visualize that two-thirds of a pie is more than half a pie, it helps when dividing portions or budgeting resources.
What is the solution to the equation?
A. h=11/3
B.h=5
C.h=21/2
D. h=7
Answer:
D. h=7
Step-by-step explanation:
1 2 16
------ + ------------ = ----------
h-5 h+5 (h^2 -25)
1 2 16
------ + ------------ = ----------
h-5 h+5 (h-5)(h+5)
Since h^2 -25 factors in (h-5) (h+5) ( it is the difference of squares)
We will multiply both sides by (h-5) (h+5) to clear the fractions
(h-5) (h+5) 2 (h-5) (h+5) 16 (h-5) (h+5)
------ + ------------ = ----------
h-5 h+5 (h-5)(h+5)
Canceling like terms
(h+5) 2 (h-5) 16
------ + ------------ = ----------
1 1 1
h+5 + 2(h-5) = 16
Distribute
h+5 + 2h -10 = 16
Combine like terms
3h-5=16
Add 5 to each side
3h-5+5 =16+5
3h =21
Divide each side by 3
3h/3 = 21/3
h = 7
find mABC
*please help asap
Answer:
10 degrees
Step-by-step explanation:
evaluate S lnx/x dx?
The value of the integral ∫ ln(x)/x dx is ln²(x)/2 + c
How to evaluate the integralFrom the question, we have the following parameters that can be used in our computation:
S lnx/x dx
Express properly
So, we have
∫ ln(x)/x dx
The above expression can be integrated using substitution method
Let u = ln(x)
So, we have
du/dx = 1/x
Make dx the subject
du = dx/x
So, we have
∫ u du
Apply the power rule to integrate
∫ u du = u²/2
Substitute u = ln(x)
When integrated, we have
∫ ln(x)/x dx = ln²(x)/2 + c
Where c is a constant
Hence, the value of the integral is ln²(x)/2 + c
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Determine the number of real solutions of -2x^2+5x-3=0
Answer:
Two distinct real solutions.
Step-by-step explanation:
Given the equation in the form [tex]ax^2+bx+c=0[/tex], you need to find the Discriminant with this formula:
[tex]D=b^2-4ac[/tex]
For the equation [tex]-2x^2+5x-3=0[/tex] you can identify that:
[tex]a=-2\\b=5\\c=-3[/tex]
Then, substituting these values into the formula, you get that the Discriminant is:
[tex]D=5^2-4(-2)(-3)[/tex]
[tex]D=1[/tex]
Since [tex]D>0[/tex], then [tex]-2x^2+5x-3=0[/tex] has two distinct real solutions.
Find the circumference of a circle with an area of 615.75 square inches
Answer:
C ≈ 87.96in
Step-by-step explanation: