Answer:-18
Step-by-step explanation:x in (-oo:+oo)
(1/2)*x = -9 // + 9
(1/2)*x+9 = 0
1/2*x+9 = 0 // - 9
1/2*x = -9 // : 1/2
x = -9/1/2
x = -18
x = -18
brainliest please
A rectangular prism has a width of 3 inches, a height of 4 inches, and a depth of 5 inches. If the width is multiplied by 3, what happens to the volume?
Answer:
The volume is also tripled when one length of the prism is tripled. It becomes 180 cubic inches instead of 60 cubic inches.
Step-by-step explanation:
Volume is the measurement of the amount a 3D object can hold. Each 3D object has 3 measurements: length, width, and height.. This object is a rectangular prism. Its volume is found as V = l*w*h. Substitute h = 4, l = 5, and w = 3. Then simplify for the volume.
V = l*w*h
V = 5*3*4
V = 60 cubic inches
Now repeat the process except multiply the depth by 3. So the length 5 inches becomes 15 inches. Substitute and simplify.
V = 15*3*4
V = 180 cubic inches
The volume is also tripled when one length of the prism is tripled.
Answer:
80
Step-by-step explanation:
look at the figure, PQRS. Find the values of x and y
Answer:
Solution set is
[tex]x=5\\y=7[/tex]
Step-by-step explanation:
Given that in a picture there is a parallelogram PQRS
The diagonals PR and QS intersect at T
[tex]PT=x+2, TR=yQT=2x, TS = y+3[/tex]
By properties of parallelograms we know that diagonals bisect each other
Using this we get
[tex]PT=TR\\QT=TS\\x+2=y\\2x=y+3[/tex]
Substitute for y to get
[tex]2x=x+2+3\\x=5\\y=7[/tex]
Solution set is
[tex]x=5\\y=7[/tex]
Answer:
X=5 y=7
Step-by-step explanation:
How likely is it that you would pick a red symbol if you closed your eyes? A) certain B) impossible C) possible D) unlikely. There are 3 red symbols and 3 green symbols.
Answer:
Step-by-step explanation:
c) possible because there are 3 of each
Answer:
C) possible
Step-by-step explanation:
There are 3 red symbols and 3 green symbols. There is a 50% chance that you will pick a red or a green. So it is possible that you will pick a red with your eyes closed.
A field is to be fertilized at a cost of $0.07 per square yard. The rectangular part of the field is 125 yards long and the diameter of each semicircle is 40 yards. Find the cost of fertilizing the field. Use 3.14 for π.
Answer:
Total cost is $437.92
Step-by-step explanation:
Rectangular area=125•40=5000 yd²
Two equal semicircles=one single circle
Area of circle=πr²=20²•π=400•3.14=1256 yd²
Total field area=circle+rectangle=6256yd²
Cost=area•0.07yd²=6256•0.07=437.92
A full bag of dog food weighs 5 1/2 pounds. How much dog food do you have if there are 3 3/4 bags
Answer:
20 5/8 lbs
Step-by-step explanation:
Multiply 5 1/2 by 3 3/4
1. convert the mixed numbers to improper fractions
5 1/2 = 11/2
3 3/4 = 15/4
2. Multiply numerator by numerator and denominator by denominator
11*15 = 165
2*4 = 8
165/8
3. divide to convert back to mixed number:
165/8 = 20 5/8
To find out how much dog food you have, multiply the weight of one bag by the number of bags. The required answer will be 8 1/4 or 20.25 pounds of dog food.
Explanation:To find out how much dog food you have, you can multiply the weight of one bag by the number of bags. In this case, one bag weighs 5 1/2 pounds, and there are 3 3/4 bags. To multiply these fractions, convert them to improper fractions, multiply the numerators together, and multiply the denominators together. Then, divide the product of the numerators by the product of the denominators. So, 5 1/2 multiplied by 3 3/4 is equal to 33/4 pounds or 8 1/4 pounds of dog food.
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Antoine is trying to find the roots for the quadratic function f(x)=x^2+25. He states that there is no solution. Is he correct? Justify your answer.
Answer: Yes, Atoine is correct.
Step-by-step explanation:
The roots of a quadratic function are also known as the solutions or the zeros of a function. Here is how we get them:
1. Let y=0 to find the x-intercept(s).
0=x^2+25
2. Subtract 25 from both sides.
−25=x&2
3. Take the square root of both sides.
±√−25
=x
4. Simplify √−25 to √25ı.
±√25ı=x
5. Since 5×5=25, the square root of 25 is 5.
±5ı=x
6. Switch sides.
x=±5ı
The equation above is not a real solution that represents a line.
Therefore, there are no x-intercepts.
In the given statement is "true".
Quadratic function:
[tex]\to f(x)=x^2+25[/tex]
Assuming "solution" refers to a real solution (it often does), then yes, he would be correct. However, there are complex solutions to the equation. Let's try to find the solution ourselves to understand the problem better:[tex]\to x^2+25=0\\\\\to x^2= -25\\\\\to x= \pm i\sqrt{25}\\\\[/tex]
Since[tex]\sqrt{-25}[/tex] is an imaginary number then
[tex]\to x=\pm 5i\\\\\to \sqrt{25}= 5[/tex]
Its equation's solutions are [tex]\pm 5i[/tex].
The problem is that such solutions are not true solutions because they require i. Although the equation contains complex solutions, it is frequently stated that it has no answer.Therefore, the final answer is "no solution".
Learn more about the quadratic function here:
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Given u=(1,3) and v=(2,6), find 2v+u
Options
(5,15)
(4,12)
(3,9)
(6,18)
ANSWER
[tex]2v + u = \binom{5}{15}[/tex]
EXPLANATION
It was given that:
[tex]u = \binom{1}{3} [/tex]
and
[tex]v = \binom{2}{6} [/tex]
[tex]2v + u =2 \binom{2}{6} + \binom{1}{3} [/tex]
Perform the scalar multiplication to obtain:
[tex]2v + u = \binom{4}{12} + \binom{1}{3} [/tex]
We add the corresponding components to get;
[tex]2v + u = \binom{4 + 1}{12 + 3}[/tex]
[tex]2v + u = \binom{5}{15}[/tex]
The first choice is correct.
Answer:
A
Step-by-step explanation:
In a test of the effect of dampness on electric connections, 103 electric connections were tested under damp conditions and 151 were tested under dry conditions. Twenty of the damp connections failed and only 10 of the dry ones failed. Let pX represent the population proportion of damp connections that fail and let pY represent the population proportion of dry connections that fail. Find a 90% confidence interval for the difference pX−pYpX−pY. Round the answers to four decimal places.
Answer:
Sorry i do not know the answer but....
Step-by-step explanation:
can u sub to Pewdiepie on YT.. Plz? Brofist
6=3(x+3)^2-6
show work... :)
Answer:
x = -5,-1
Step-by-step explanation:
6=3(x+3)^2-6
Add 6 to each side
6+6=3(x+3)^2-6+6
12 =3(x+3)^2
Divide each side by 3
12/3 = 3/3(x+3)^2
4 = (x+3)^2
Take the square root of each side
sqrt(4) = sqrt((x+3)^2)
±2 = x+3
Separate into 2 equations
2 = x+3 -2 = x+3
Subtract 3 from each side
2-3 =x+3-3 -2-3 = x+3-3
-1 =x -5 =x
Solve for v
-(2/3)v-1=(7/2)v-(4/3)
Answer: [tex]v=\frac{2}{25}[/tex]
Step-by-step explanation:
To solve from v from the equation given in the problem you must apply the folowing proccedure:
- Add like terms:
[tex]-1+\frac{4}{3}=\frac{7}{2}v+\frac{2}{3}v\\\\ \frac{1}{3}=\frac{25}{6}v[/tex]
- Mulitply bot sides of thee equation by 6 and then divide both sids by 25.
Therefore you obtain:
[tex]\frac{1}{3}=\frac{25}{6}v\\\frac{6}{3}=25v\\v=\frac{2}{25}[/tex]
Answer:
v = 2/25
Step-by-step explanation:
We have given the equation:
-(2/3)v-1=(7/2)v-(4/3)
We have to solve it for v.
-(2/3)v-1=(7/2)v-(4/3)
(7/2)v+(2/3)v = -1+(4/3)
Multiply both sides of equation by 6 we get,
21v+4v = -6+8
25v = +2
Multiplying both sides by 1/25 we get,
v = 2/25
v = 2/25 is the answer.
Uncle percy only has 10% of teashirts he started with if he has 25 now how many did he start with
Answer:
250
Step-by-step explanation:
Since you are looking for the amount of shirts he had you will need to divide 25 by .10 or just multiply by 10.
Set up an equal proprtion. 25/x = 10/100 because 25 is 10% of the number you're looking for, or x. 25* 100 = 10x → 2500 = 10x → 250 = x. Uncle Percy started with 250 t-shirts.
If P(A)=0.35, then the probability of the complement of A is
0.55
-0.35
0.35
0.65
Answer:
0.65
Step-by-step explanation:
Complement of an event is defined as "all the other outcomes that are not in the given event"
So complement of event A will be all the outcomes that are not in event A.
Probability of event A is given to be 0.35
P(A) = 0.35
The sum of probabilities of an event and its compliment is always equal to 1
So,
P(A) + P(A') = 1
Where, A' represents the compliment of A
So, from here we can write:
P(A') = 1 - 0.35
P(A') = 0.65
Therefore, the probability of the complement of A is 0.65
Answer:
0.65
Explanation:
Probability of an event P(A) shows the chances for this event to actually happen or occur
Probability of the complement of an event P'(A) shows the chances for this event not to happen or occur
The sum of the probability of a certain event and its complement is ALWAYS equal to 1
This means that:
P(A) + P'(A) = 1
In the problem, we are given that P(A) = 0.35
Substitute in the above equation to get P'(A) as follows:
P(A) + P'(A) = 1
0.35 + P'(A) = 1
P'(A) = 1 - 0.35
P'(A) = 0.65
Hope this helps :)
Which three-dimensional figure is formed by the rotation given?
First picture is the rotation, and the rest are the answer choices.
Answer with explanation:
A circle is rotated around a vertical line which we call Y axis.
When we rotate the circle around y axis, and join each circle ,we get a closed shape resembling with the Cylinder, having height equal to Diameter of circle.
We can't Calculate Radius of shape resembling with Cylinder.
The circle is rotated about an axis it forms a circular ring of the thickness as the circle has.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Given
The picture is the rotation.
If the point is rotated about the axis it forms a circular ring of no thickness.
The circle is rotated about an axis it forms a circular ring of the thickness as the circle has.
It will look like a bangle.
Thus, the correct option is B.
More about the geometry link is given below.
https://brainly.com/question/7558603
Is 30 a typical test score? If so, explain your reasoning. If not, what is a test score
A test score of 30 may not be typical as it falls within the lower 30% of scores achieved by students. Higher scores are generally preferred.
Explanation:30 may not be considered a typical test score because it falls within the range of scores that only 30% of students achieved. According to the given information, 70% of students answered 16 or fewer questions correctly, while only 30% answered 16 or more questions correctly.
In addition to this, higher percentiles that generally indicate higher scores, are typically considered better for most of the students. Therefore, a higher test score would be desirable for most students.
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Using the general form of complex numbers a + bi, what are the values of a and b for the number i - 6?
Answer: a=-6; b=1
Explanation:
This is the same thing as saying -6+1i. Therefore for the general form a+bi, a equals -6 and b equals 1
Answer:
a = -6 and b = 1
Step-by-step explanation:
We have given a complex number.
i-6
We have to find the value of a and b using general form of complex numbers.
The general form of complex numbers is a+bi.
given complex number can be written as:
-6+1i
Comparing with general form , we have
a = -6 and b = 1 which is the answer.
Please help me and Simplify
Answer:
12a^3 b^4 c^5
Step-by-step explanation:
First you rewrite 144a^6 b^8 c^10 as (12a^3 b^4 c^5)^2.Pull terms out from under the radical, assuming positive real numbersSubtract 3 x^2 + 7 x − 4 3x 2 +7x−43, x, start superscript, 2, end superscript, plus, 7, x, minus, 4 from 8 x^2 − 6 x + 2 8x 2 −6x+2
Answer is:5x ^2 −13x+6
Answer:
[tex]\large\boxed{5x^2-13x+6}[/tex]
Step-by-step explanation:
[tex](8x^2-6x+2)-(3x^2+7x-4)\\\\=8x^2-6x+2-3x^2-7x-(-4)\\\\=8x^2-6x+2-3x^2-7x+4\qquad\text{combine like terms}\\\\=(8x^2-3x^2)+(-6x-7x)+(2+4)\\\\=5x^2-13x+6[/tex]
To subtract polynomials, subtract the coefficients of the like terms. Start with the highest degree term and work your way down to the constant term.
Explanation:To subtract 3x^2 + 7x - 4 from 8x^2 - 6x + 2, you need to subtract the corresponding coefficients of the like terms. Start with the highest degree term, which is x^2. Subtract the coefficient of x^2 in the second polynomial from the coefficient of x^2 in the first polynomial: 8x^2 - 3x^2 = 5x^2. Next, move to the x term. Subtract the coefficient of x in the second polynomial from the coefficient of x in the first polynomial: -6x - 7x = -13x. Finally, subtract the constant term: 2 - (-4) = 6. Therefore, the result is 5x^2 - 13x + 6.
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Madison made the following table to record the height of each person in her family. If Madison and Jade lay end to end, how far will they reach?
Name Height (in feet)
Dad 6 3/8
Mom 5 5/8
Madison 5 1/6
Jade 4 5/6
Ben 3 1/5
9 1/2
9 feet
10 feet
10 1/2 feet
Answer:
10 ft
Step-by-step explanation:
To get their total reach, we add the two numbers.
5⅙
+4⅚
Add integers and fractions
5⅙
+4⅚
9⁶/₆
Convert the fraction to an integer
⁶/₆ = 1
Add the 1 to the 9
9 + 1 = 10 ft
If Madison and Jade lay end to end, they will they reach 10 ft.
twice a number plus 5 equals 81
solution
2x+5=81
2x=81-5
2x=76
x=38
Answer:
[tex]38 = x[/tex]
Step-by-step explanation:
81 = 5 + 2x
- 5 - 5
___________
76 = 2x
__ __
2 2
[tex]38 = x[/tex]
I am joyous to assist you anytime.
Flora's car is 59/100 of a meter longer than Sally's car. Sally's car is 2/10 of a meter longer than Trevor car. How much longer is Flora's car than Trevor's car?
Answer:
Flora's car is 79/100 of a meter longer than Trevor's car
Step-by-step explanation:
Let
x-----> Fiora's car
y-----> Sally's car
z-----> Trevor's car
we know that
[tex]x=y+\frac{59}{100}[/tex] -----> equation A
[tex]y=z+\frac{2}{10}[/tex] -----> equation B
substitute equation B in equation A
[tex]x=(z+\frac{2}{10})+\frac{59}{100}[/tex]
[tex]x=z+\frac{20+59}{100}[/tex]
[tex]x=z+\frac{79}{100}[/tex]
therefore
Flora's car is 79/100 of a meter longer than Trevor's car
Flora's car is 79/100 of a meter longer than Trevor's car.
We are given the following information:
Flora's car is 59/100 of a meter longer than Sally's car.
Sally's car is 2/10 of a meter longer than Trevor's car.
We need to find out how much longer Flora's car is than Trevor's car. To do so, we will add the differences in lengths given:
First, express both fractions with a common denominator:
Convert 2/10 to 20/100:
2/10 = 2 × 10 / 10 × 10 = 20/100
Then, add the lengths:
Add the fractions:
59/100 + 20/100 = 79/100
Therefore, Flora's car is 79/100 of a meter longer than Trevor's car.
Write the ratio as a fraction in simplest form. The ratio for 18 girls to 27 boys as a fraction is .
Answer:
2/3
Step-by-step explanation:
Reduce the fraction 18/27 into its lowest terms
since both 18 and 27 are divisible by 9, divide both terms by 9
18/9 = 2
27/9 = 3
18/27 reduced to lowest terms is 2/3
Help 13 points!!!!!!!!
Replace x with a^2:
7(a^2)^2 - 8
Multiply the exponents:
7a^4 - 8
Solve the equation by using the basic properties of logarithms.
ln(x+4)=-1
Write both sides as powers of [tex]e[/tex]:
[tex]\ln(x+4)=-1\implies e^{\ln(x+4)}=e^{-1}\implies x+4=e^{-1}[/tex]
since [tex]b^{\log_ba}=a[/tex]. Then
[tex]x=e^{-1}-4\approx-3.63[/tex]
Answer:
-3.63
Step-by-step explanation:
Jillian plays a game that involves stacking blocks in a tower.The graph show the height of the tower based on the number of blocks she uses.
Answer:
c)
{0,4,8,12,16,20,24,28,32,36,40}
Step-by-step explanation:
Given in the question is graph which shows height of tower depending on number of blocks use.
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain, x values.
By looking at graph
domain range
0 0
1 4
2 8
3 12
4 16
5 20
. .
. .
10 40
Jody bought 20 shares of Amazon at the close price of $121.00. She bought 20 more shares a year later at the price of $127.00. Two years later, she sold all of her shares at the price $133.00. If her broker charges $40 for each transaction, how much money will Jody have after all of her transactions?
Final answer:
Jody will have a total profit of $1280.00 after all of her transactions.
Explanation:
Jody initially bought 20 shares of Amazon at $121.00 per share, which amounts to a total cost of
20 * $121.00 = $2420.00.
A year later, she bought 20 more shares at $127.00 per share, which amounts to a total cost of
20 * $127.00 = $2540.00.
Two years later, she sold all of her shares at $133.00 per share, which amounts to a total revenue of
40 * $133.00 = $5320.00.
However, she paid $40 for each transaction, so her total transaction cost is 2 * $40.00 = $80.00.
Therefore, her total profit is $5320.00 - ($2420.00 + $2540.00 + $80.00) = $1280.00.
All of the names of the polygon are correct EXCEPT for:
The correct answer would be c) GDFEABC
Please mark brainliest
Answer:
The third option: GDFEABC
Step-by-step explanation:
Just follow the letters around in a circle. ABCDEFG works, it goes from one point to the next, so does EDCBAGF, just in the other direction with a different start point. The second option also circles around perfectly fine. The third option, GDFEABC is the only one that jumps around, G to D skips over 2 points, F & E.
What is the minute ventilation of an average adult male at rest breathing at a rate of 10 breaths per minute?
Answer:
5000 milliliters per minute
Step-by-step explanation:
Answer:
12 to 18
Step-by-step explanation:
in still water, the speed of the boat 10 mi/h. camilla drives the boat upstream for 60 min. and then downstream to her starting point in 20 min. what is the speed of the stream?
Answer:
5 mi/h
Step-by-step explanation:
S = v*t
S - space (miles)
v - velocity (mi/h)
t - time (h)
stream speed = x
The distance upstream(S_1) is expressed by :
60 min -> 1 hour
S_1 = (10-x)*1
The distance downstream is expressed by :
20 min -> 0.3(3) hour
S_2 = (10+x)*0.3(3)
The distance traveled upstream for 60 min is equal to the distance traveled downstream in 20 min. -> S_1 = S_2
(10-x) * 1 = (10+x)*0.3(3)
10 - x = 3.3(3) + 0.3(3)x
6.6(6) = 1.3(3)x
x = 6.6(6) / 1.3(3)
x = 5 mi/h
The speed of the stream is equal to 5.79 mi/h
Let the stream speed be s.Given the following data:
Speed of boat = 10 mi/hUpstream time = 60 minutes = 1 hour.Downstream time = 20 minutes = 0.3 hour.To calculate the speed of the stream:
What is speed?Speed can be defined as the distance covered by an object per unit time.
Mathematically, speed is given by the formula;
[tex]Speed = \frac{distance}{time}[/tex]
Note: The upstream distance of the boat must be equal to the downstream distance of the boat.
[tex]D_u = D_d\\\\(10-s) \times 1 = (10+s)0.33\\\\10-s=3.3+0.33s\\\\10-3.3=0.33s+s\\\\7.7=1.33s\\\\s=\frac{7.7}{1.33}[/tex]
Speed, s = 5.79 mi/h
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Find the slope intercept equation that passes through (6,8) and is parallel to the line with the equation 3x+y=6
"y = -3x + 26" is the correct answer.
the answer would be "y = -3x + 26"
PLEASE HELP!!!!!!
Which values of x are solutions to the equation below?
Check all that apply.
5x2 - 136 = 44
A. x = - sq root 12
B. x = sq root 12
C. x = -6
D. x = 6
E. x = -8
F. x = 8
Answer:
x=6
Step-by-step explanation:
5x^2-136=44
add 136 to both sides
5x^2=180
divide both sides by 5
x^2= 36
take square root of both sides
x=6
Answer: The correct options are
(C) x = -6
(D) x = 6.
Step-by-step explanation: We are given to select the values of x that are the solutions to the following equation :
[tex]5x^2-136=44~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
The solution of the given equation (i) is as follows :
[tex]5x^2-136=44\\\\\Rightarrow 5x^2=44+136\\\\\Rightarrow 5x^2=180\\\\\Rightarrow x^2=\dfrac{180}{5}\\\\\Rightarrow x^2=36\\\\\Rightarrow x=\pm\sqrt{36}~~~~~~~~~~~~~~[\textup{taking square root on both sides}]\\\\\Rightarrow x=6,~-6.[/tex]
Thus, the solutions to the given equation are x = -6 and x = 6.
Option (C) and (D) are correct options.