Answer:
I got 882
Step-by-step explanation:
I did what is 75% of 1,176
The cylinder shown has a lateral surface area of about 400 square inches. Which answer is closest to the measure of the cylinder's radius? Use 3.14 to approximate pi.
The formula for lateral surface of a cylinder is:
SA = 2 *PI * r *h
Replace the letters with the given values:
400 = 2 * PI * r *40
Multiply the right side:
400 = r * 251.2
Divide both sides by 251.2:
r = 400 / 251.2
r = 1.59
The radius is 1.59 inches.
Answer: 1.59
Step-by-step explanation:
given -1/2 x>6.choose the solution set
Answer: x < -12
Step-by-step explanation:
[tex]-\dfrac{1}{2}x>6\\\\\\\text{Multiply both sides by -2}\\\\(-2)\dfrac{-1}{2}x>(-2)6\\\\\\\text{Simplify - remember to flip the inequality symbol}\\x<-12[/tex]
Graph: ←-----------o -12
Interval Notation: (-∞, -12)
Answer:
x<-3
Step-by-step explanation:
use the discriminant to describe the root of each equation 3x^2-10=0
Given a quadratic equation [tex]ax^2+bx+c=0[/tex]
The discriminant is defined as
[tex]\Delta=b^2-4ac[/tex]
In your case, the equation is defined by the coefficients
[tex]a=3,b=0,c=-10[/tex]
So, the discriminant is
[tex]\Delta=0^2-4\cdot 3\cdot (-10) = 120[/tex]
The discriminant is involved in the solving formula as follows:
[tex]x_{1,2} = \dfrac{-b\pm\sqrt{\Delta}}{2a}[/tex]
Which implies that:
If [tex]\Delta>0[/tex] the root exists, and so you have two distinct solution (the one where you choose the plus sign, and the one where you choose the minus sign in the solving formula)If [tex]\Delta=0[/tex] the root is zero, and you have two collpapsed solutions, since there's no difference in adding or subtracting it.If [tex]\Delta<0[/tex], the root is not defined using real numbers, and the equation has no real solutions.In your case, since the discriminant is positive, you have two distinct solutions. Since 120 is not a perfect square, however, you will not get rid of the square root, so you will have two distinct irrational solutions.
The equation 3x² - 10 = 0 has a discriminant of 120, which is greater than zero. This means that there are two distinct real roots for this equation.
To describe the roots of the equation 3x² - 10 = 0 using the discriminant, we must first understand that the discriminant (d) of a quadratic equation of the form ax² + bx + c = 0 is given by b2 - 4ac. For our equation, a = 3, b = 0, and c = -10, so the discriminant
would be:
= (0)2 - 4(3)(-10) = 0 + 120 = 120
Since > 0, this indicates that there are two distinct real roots. When the discriminant is greater than zero, the quadratic equation has two real solutions. Therefore, in this case, 3x2 - 10 = 0 has two real roots, corresponding to the x-values where the parabola intersects the x-axis.
what is 1/100,000,000 as a power of 10
A power of 10 is the number 10 multiplied by itself by the number of times indicated by the exponent. Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 106 is written 1,000,000.
1/100,000,000 expressed as a power of 10 is 10-8, reflecting the movement of the decimal point 8 times to the left.
The question asks for the expression of 1/100,000,000 as a power of 10. To find the answer, we need to realize that this fraction is the same as moving the decimal point 8 places to the left from 1, making it 0.00000001. This operation is equivalent to the negative power of 10, because you're making the number smaller (or dividing). Remembering that the exponent represents how many times we move the decimal place, we can express 1/100,000,000 as 10-8.
anna started reading at 4:00 pm and finished at 4:20 pm. How many degrees did the minute hand turn?
A rectangle is 6 inches wide. It’s length is 2 inches more than its width. What’s the perimeter of the rectangle
Answer:
28 in
Step-by-step explanation:
6+2= 8 so therefore the length is eight.
To find perimeter, add up all the sides of the rectangle so 6+6+8+8=28
Final answer:
The perimeter of the rectangle is calculated using its length and width. With a width of 6 inches and 2 inches added to determine the length, the perimeter is found to be 28 inches.
Explanation:
To determine the perimeter of the rectangle, we first have to calculate both the width and the length. The width is given as 6 inches. The problem states that the length is 2 inches more than its width, which means the length is 6 inches + 2 inches = 8 inches.
The formula to compute the perimeter (P) of a rectangle is P = 2 * (length + width). Substituting our values, we get P = 2 * (8 inches + 6 inches) = 2 * 14 inches = 28 inches. Therefore, the perimeter of the rectangle is 28 inches.
Philip needs to incorporate at least 200 roses in his floral arrangements for a wedding. Each centerpiece will have 24 roses, and each bouquet will have 10 roses. Write an inequality to represent the situation, if x represents the number of centerpieces Philip makes, and y represents the number of bouquets.
Answer:
24 x + 10 y >= 200
Step-by-step explanation:
as x represents centerpiece and y represent bouquet and total number of roses should be atleast 200 which means we can use roses more than 200 but not less than 200, the equation will be:
24 x + 10 y >= 200
Answer:
[tex]24x+10y\geq 200[/tex]
Step-by-step explanation:
Givens:
Phillip needs at least 200 roses.There will be 24 roses per centerpiece.There will be 10 roses per bouquet.[tex]x[/tex] represent the number centerpieces, and [tex]y[/tex] represents the number of bouquets.According to the problem, we can define the number of roses per a centerpiece: [tex]24x[/tex]
The number of roses per bouquet: [tex]10y[/tex]
So, the problem restricts the amount of roses, at least 200, that means, 200 or more than 200 roses. Therefore the expression that represent the amount of roses would be:
[tex]24x+10y\geq 200[/tex]
As you can observe, the inequality includes the 200 roses restriction, and the amount of roses per centerpieces and per bouquet.
What is the value of f(-1)
ANSWER
[tex]f( - 1) = 0[/tex]
EXPLANATION
From the table the values of x, are on the left and the values of f(x) are on the right.
To find f(-1), we look for the value under f(x) that corresponds to x=-1.
This value is 0.
Therefore
[tex]f( - 1) = 0[/tex]
A function assigns the values. The correct option is C.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
As per the given table the value of f(-1), or the value of f(x), when the value of x=-1, is 0. Thus, it can be written that the value of f(-1) is 0.
Hence, the correct option is C.
Learn more about Function:
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Order the group of parabolas from widest to narrowest.
y = 1/4x^2, y = -1/2x^2,y =3/2x^2
Please just don’t guess I really need to get this problem correct
Answer:
[tex]\large\boxed{y=\dfrac{1}{4}x^2,\ y=-\dfrac{1}{2}x^2,\ y=\dfrac{3}{2}x^2}[/tex]
Step-by-step explanation:
The equation of a parabola: y = ax²
The larger the value of |a|, the narrower the parabola.
We have the following coefficients a:
[tex]\left|\dfrac{1}{4}\right|=\dfrac{1}{4},\ \left|-\dfrac{1}{2}\right|=\dfrac{1}{2},\ \left|\dfrac{3}{2}\right|=\dfrac{3}{2},[/tex]
We arrange the coefficients from the smallest to the largest:
[tex]\dfrac{1}{4}\ <\ \dfrac{1}{2}\ <\ \dfrac{3}{2}[/tex]
Therefore you have the answer:
[tex]y=\dfrac{1}{4}x^2,\ y=-\dfrac{1}{2}x^2,\ y=\dfrac{3}{2}x^2[/tex]
Hey 6th grade math please help
Answer:
A = 42.5Step-by-step explanation:
The formula of an area of a trapezoid:
[tex]A=\dfrac{b_1+b_2}{2}\cdot h[/tex]
We have:
[tex]b_1=12,\ b_2=5,\ h=5[/tex]
Substitute:
[tex]A=\dfrac{12+5}{2}\cdot5=\dfrac{17}{2}\cdot5=8.5\cdot5=42.5[/tex]
Please help me. Thank you
Step-by-step explanation
i had to turn my laptop just to read that
My
Both rectangles have the same dimensions and shape. P'Q'R'S' is a translated image of PQRS, shifted 3 units right and 3 units up. They are congruent but not identical due to their position.
Step-by-step comparison of rectangles PQRS and P'Q'R'S':
1. Original coordinates:
Assume specific coordinates for the vertices of rectangle PQRS. For example, let P = (1, 2), Q = (5, 2), R = (5, 6), and S = (1, 6).
2. Translation:
A translation moves every point in the shape the same distance and in the same direction. Since Rashid translated rectangle 3 units up and 3 units to the right, add 3 to x-coordinate and 3 to y-coordinate of each point in PQRS to find corresponding points in P'Q'R'S'.
3. New coordinates:
P' = (1 + 3, 2 + 3) = (4, 5)
Q' = (5 + 3, 2 + 3) = (8, 5)
R' = (5 + 3, 6 + 3) = (8, 9)
S' = (1 + 3, 6 + 3) = (4, 9)
4. Comparison:
Shape:
Both rectangles PQRS and P'Q'R'S' are rectangles because a translation preserves the shape of the original figure.
Size:
They have the same dimensions (length and width) as the translation only shifts the position without altering the size.
Orientation:
They maintain the same orientation relative to the axes, meaning their sides remain parallel and perpendicular to the x and y axes.
Position:
The key difference lies in their position. P'Q'R'S' is located 3 units to the right and 3 units above PQRS.
5. Rectangles PQRS and P'Q'R'S' are congruent (same size and shape) but not identical (different positions).
P'Q'R'S' is a translated image of PQRS, moved 3 units to the right and 3 units up.
Examine the diagram at right. The smaller triangle (inside of the larger triangle) is similar to larger triangle. How can you solve for x? Now , determine the lengths of m and p . Note that when no units are given on measurements , you may assume that all units are the same .
As the exercise says, the triangles are similar. So, we can set up proportions between correspondent sides.
In order to solve for x we can set up the proportion between the horizontal and vertical sides:
[tex]28\div 11.2 = 27+x \div x[/tex]
Solving this proportion for x implies [tex]x=18[/tex]
Now you can solve for m and p using the pythagorean theorem, because both triangles are right:
[tex]m = \sqrt{18^2+11.2^2} =21.2[/tex]
Then, we know that the hypothenuse of the big triangle is m+p, so we have
[tex]m+p=\sqrt{(18+27)^2+28^2} = 53[/tex]
which implies
[tex]p = 53-p = 53-21.2=31.8[/tex]
The ratio of the given to similar triangles is 0.4. value of the x, m, and p is 18, 21.2, and 31.8.
What are similar triangles?Similar triangles are triangles whose corresponding sides are in ratio, while the corresponding angles are of equal measure.
What is the ratio of the given triangles?As the two sides of the triangles are already given, therefore, the ratio of these two triangles are,
[tex]\dfrac{11.2}{28} = \dfrac{2}{5}[/tex]
What is the value of x?As we already know the ratio of the two triangles, therefore,
[tex]\dfrac{x}{27+x} = \dfrac{2}{5}\\\\5x = 54 + 2x\\\\5x-2x = 54\\\\3x = 54\\\\x = 18[/tex]
Hence, the value of x is 18.
What is the value of m and p?As the given triangle is a right-angled triangle, therefore, we can use the Pythagorean theorem to find the value of m,
[tex](Hypotenuse)^2 = (Perpendicular)^2+(Base)^2\\\\m^2 = x^2 + (11.2)^2\\\\m^2 = 18^2 + 11.2^2\\\\m^2 = 324+125.44\\\\m^2 = 449.44\\\\m = 21.2[/tex]
Thus, the value of side m is 21.2 units.
The value of m and p can be found using the same ratio, we already have for similar triangles,
[tex]\dfrac{m}{m+p} = \dfrac{2}{5}\\\\\dfrac{21.2}{21.2+p} = \dfrac{2}{5}\\\\106= 42.4 + 2p\\\\p = 31.8[/tex]
Thus, the value of the x, m, and p is 18, 21.2, and 31.8.
Learn more about Similar Triangles:
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Can someone please help me find the DBE=
Answer:
∠DBE = 105°Step-by-step explanation:
Angles on one side of a straight line always add to 180°.
Therefore we have the equation:
[tex]35+(3x-15)+x=180[/tex]
[tex]35+3x-15+x=180[/tex] combine like terms
[tex](35-15)+(3x+x)=180[/tex]
[tex]20+4x=180[/tex] subtract 20 from both sides
[tex]4x=160[/tex] divide both sides by 4
[tex]x=40[/tex]
∠DBE = 3x - 15. Substitute:
[tex]\angle DBE=\bigg(3(40)-15\bigg)^o=\bigg(120-15\bigg)^o=105^o[/tex]
On a number line 7.35 would be located?
Answer: B, C, and D are all correct.
Step-by-step explanation:
Answer: B and D
Step-by-step explanation:
It would go between 7.32 and 7.37
HELP ASSAP WILL MARK BRAINIESTT!!!!!!!
Slower bike = X
Faster bike = X+9
They both ride for 2 hours, now you have 2x and 2(x+9)
The sum of the two cyclists is 66 miles:
2x +2(x+9) = 66
Use distributive property:
2x + 2x+18 = 66
Simplify:
4x +18 = 66
Subtract 18 from both sides:
4x = 48
Divide both sides by 4:
x = 48/4
x = 12
The slower bike was going 12 mi/h
The faster bike was 12+9 = 21 mi/h.
ben wants to bike 12 miles. so far he has biked 2/3 of those 12 miles. How many miles has Ben biked
Answer:
Ben had biked 8 miles
Step-by-step explanation:
You would need to take 12 and divide it by three . That would make 4. After that you would take 4 and multiply it by 2 since he rode 2/3 miles of 12. Then you would end up with 8.
Final answer:
Ben has biked 8 miles of the 12 miles he wants to, as he has completed 2/3 of his intended distance.
Explanation:
To calculate the number of miles Ben has biked, we simply need to multiply the total distance he wants to bike by the fraction of the trip he has completed. Ben wants to bike 12 miles, and he has biked 2/3 of that distance. Multiplying these together gives us 2/3 * 12 = 8 miles. Therefore, Ben has biked 8 miles so far.
PLZ HURRY IT'S URGENT!!!!
What is 3/25 written as a decimal? A. 0.3 B. 0.12 C. 0.15 D. 0.22
Answer:
B. .12 is the decimal
Step-by-step explanation:
What you do is you divide 25 by 3. That will already give you a decimal and when you divide it out your answer is .12.
3/25=.12.
Answer:
The correct answer is 0.12
Step-by-step explanation:
3 = numerator
25 = denominator
Divide the numerator by the denominator to convert a fraction to a decimal.
3 ÷ 25 = 0.12
as a decimal is
0.12
.
Answer: The answer is B. 0.12
Step-by-step explanation:
The Question is posted above ⤴
Answer:
Step-by-step explanation:
I think 9. 10/50
10. 6/50
11. 44/50
2x^2+10x+12=0 factor with steps
Answer:
x= -2,-3
Step-by-step explanation:
10 Points! What is answer
Answer: its B
Step-by-step explanation:
Answer:
7*-5=-35
so your answer would be D
what is the solution set for |x/2|=8
Answer:
The correct answer option is x = -16 and x = 16.
Step-by-step explanation:
We are given the following equation and we are to find the solution for this equation:
[tex] | \frac { x } { 2 } | = 8 [/tex]
For the given equation, involving the modulus, we will have a positive as well as a negative value for it in order to find its solution set.
[tex] \frac { x } { 2 } = - 8 [/tex] and [tex] \frac { x } { 2 } = 8 [/tex]
[tex] x = 8 \times 2 [/tex] and [tex] x = - 8 \times 2 [/tex]
x = -16 and x = 16
Answer:
The correct answer is last option
x = -16 or x = 16
Step-by-step explanation:
it is given that,
|x/2| = 8
To find the solution set
From this we can understand that , the value of x/2 = - 8 or x/2 = 8
If x/2 = -8 then x = -8 * 2 = = -16
If x/2 = 8 then x = 8 * 2 = 16
Therefore the solutions are
x = -16 or x = 16
Is there a proportional relationship between x and y? Explain.
x 8 10 12 14
y 5 7 9 11
Yes there is because the change of rate for both the x and y-values is 2. It has a consistant rate of change.
x = 2t – 1
y = t2 + 5, -4 ≤ t ≤ 4
Graph this please
Answer:
y = x²/4 + x/2 + 21/4 ⇒ -9 ≤ x ≤ 7
Step-by-step explanation:
∵ x = 2t - 1
∴ 2t = x + 1 ⇒ t = (x + 1)/2
∵ y = t² + 5
∴ y = [(x + 1)/2]² + 5 = (x² + 2x + 1)/4 + 5
y = x²/4 + x/2 + 1/4 + 5 = x²/4 + x/2 + 21/4
∵ -4 ≤ t ≤ 4
∴ -9 ≤ x ≤ 7
Write an equation of the line that passes through the point (12.2) and has a slape of -1/4
answer :
y=-1/4x+5
my work:
y=mx+b
2=-1/4(12)+b
2=-3+b
+3 +3
5=b
y=-1/4x+5
Answer:
y = - [tex]\frac{1}{4}[/tex] x + 5
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 = - [tex]\frac{1}{4}[/tex], hence
y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
To find c substitute (12, 2) into the partial equation
2 = - 3 + c ⇒ c = 2 + 3 = 5
y = - [tex]\frac{1}{4}[/tex] x + 5 ← equation of line
Prove that the lines x+y=5, 2x–y=16 and x+2y=3 intersect at one point. What are the coordinates of this point?
Answer:
The point of intersection is
(7,-2)
Step-by-step explanation:
We can easily solve this equation by plotting each graph in a graphing tool or calculator.
If we do this, we can find the intersection between the three lines and prove that it exists.
We are solving the system of equations
x+y=5
2x–y=16
x+2y=3
Please see attached picture.
The point of intersection is
(7,-2)
Help!! Not good with Slope! especially with no dots! Brianliest answer offered!!
Find two "dots" where the line crosses the X and Y axis at real numbers.
(0,3) and (6,-1)
Now find the slope which is the difference in Y over the difference in x.
Slope = (-1 - 3) / (6-0) = -4 / 6 = -2/3
The answer is D.
The isosceles triangle has two sides of equal length , a , that are longer than the length of the base , b. The perimeter of the triangle is 15.7 centimeters. The equation 2a+b=15.7 models this information.
If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base ?
Answer:
Step-by-step explanation:
Since the length of one of the longer sides, a, has been given to be 6.3, plug it into the equation.
2(6.3) + b = 15.7
12.6 + b = 15.7
b = 15.7 - 12.6
b = 3.1
Answer:
Equation that can be used to find length of the base is b + 12.6 = 15.7 and the length of the base we get from this equation is 3.1 cm
Step-by-step explanation:
Given:
Length of the equal side of the Isosceles Triangle = a
Length of the base of the triangle = b
Equal sides are longer than base of the triangle.
Perimeter of the triangle = 15.7 cm
Equation representing given information = 2a + b = 15.7
To find: Equation that represent or can be used to find length of the base if longer side = 6.3 cm
Given Equation is the Equation representing the perimeter of the isosceles triangle.
Longer side = 6.3 cm = Length of the Equal Sides of the triangle.
So, a = 6.3 cm
Now,
2 × 6.3 + b = 15.7
b + 12.6 = 15.7
b = 15.7 - 12.6
b = 3.1 cm
Therefore, Equation that can be used to find length of the base is b + 12.6 = 15.7 and the length of the base we get from this equation is 3.1 cm
Factor this trinomial: x2−2x−24
Then, select both correct factors below.
Question 4 options:
(x−6)
(x−4)
(x−2)
(x+6)
(x+4)
It’s (x-6)(x+4) so the first one and last one
For this case we must factor the following expression:
[tex]x ^ 2-2x-24[/tex]
We must find two numbers that when added together give "-2" and when multiplied by "-24"
These numbers are:
[tex]-6\ and\ +4\\-6 + 4 = -2\\-6 * + 4 = -24[/tex]
So:
[tex]x ^ 2-2x-24 = (x-6) (x + 4)[/tex]
Answer:
[tex](x-6) (x + 4)[/tex]
Option A and D
Help me plz show work
Answer: F) (x, y) → (x - 6, y + 2)
Step-by-step explanation:
6 units to the left means subtract 6 from the x-value --> x - 6
2 units up means add 2 to the y-value --> y + 2
1. Andrew will roll a number cube and flip a coin for a probability experiment. The faces of the number cube are labeled 1 through 6. The coin can land on heads or tails. If Andrew rolls the number cube once and flips the coin once, write a list that contains only the outcomes in which the number cube lands on a number less than 3? 2. A study of a population of 1,500 dogs revealed that 15 out of every 125 dogs in the population have spots on their back. Based on the results of this study, how many dogs in the population do NOT have spots on their back? 3. For his lunch, David is making a sandwich that must consist of bread, cheese, and meat. David can choose from white, French or rye bread, either American or Swiss cheese, and the choice of turkey, ham or pastrami as a meat. Create a tree diagram to represent the combinations of bread, cheese, and meat David could make for his sandwich. 4. Joel has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Joel's Jumble has 2 classical songs, 13 rock songs, and 5 rap songs on it. What is the probability that the first song that Joel hears is a rap song? 5. You're playing a game where you defend your village from an orc invasion. There are 3 characters (elf, hobbit, or human) and 5 defense tools (magic, sword, shield, slingshot, or umbrella) to pick from. If you randomly choose your character and tool, what is the probability that you'll be a magic elf?
Answer:
Part 1)
(1,H),(2,H)(1,T),(2,T)
Part 2)
1320
Part 4)
1/4
Part 5)
1/15
Step-by-step explanation:
Part 1)
Possible outcomes of cube={1,2,3,4,5,6}
Possible outcomes of coin=(H,t}
Now, Andrew rolls the number cube once and flips the coin once
then possible outcome that contains only the outcomes in which the number cube lands on a number less than 3 are:
(1,H),(2,H)(1,T),(2,T)
Part 2)
Given:
population=1500 dogs
spots containing dogs= 15 out of every 125 dogs in the population have spots
spots containing dogs:
=1500/125
=12
=12*15
=180
dogs in the population that do NOT have spots on their back
=1500-180=1320
Part 4)
Given:
classical songs=2
rock songs=13
rap=5
total songs= 2+13+5
=20
probability that the first song that Joel hears is a rap song= 5/20
=1/4
Part 5)
Given:
3 Characters= elf, hobbit, or human
4 tools= magic, sword, shield, slingshot, or umbrella
Probability of first event , P(C)= 1/3
Probability of second event, P(T)=1/5
As both events are mutually exclusive so
P(magic elf)= P(C)*P(T)
=1/3+1/5
=1/15 !