Which values are solutions to the inequality below? Check all that apply.
Answer:
b,d
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that
x²>18
So, let take the square root of both sides
Then,
√x²>√18
x> ± 4.24
So it is either
x>4.24 or x<-4.24
Either of the two will gives a square higher than 18. You should note that the square of any number is always positive.
The applicable answer are
A. 5
Because
5²=25 which is greater than 18
D. 8
Because
8²= 64 which is greater than 18
F. -18
Because
(-18)²=-18×-18=324 which is greater than 18.
Note : -×-=+
What is the exact circumference of the circle?
A. 10 feet
B. 20 feet
C. 40 feet
D. 60 feet
Answer:
60ft
Step-by-step explanation:
you havent multiplied it by [tex]\pi[/tex] yet do it would just be the radius multiplied by two so it would be 60, becuase the radius is 30.
C= 2[tex]\pi[/tex]r
simply 11a+7+10a+3+12a+9 by combining like terms
Answer: 33a+19
Step-by-step explanation:
11a+7+10a+3+12a+9
Collect like terms.
(11a+10a+12a)+(7+3+9)
Simplify.
33a+19
Answer:
33a+9
Step-by-step explanation:
11a+10a+12a= 33a
7+3+9= 19
The length of a room is 2 feet more then the width. If the area of the room is 120 ft what is the length and the width of the room
Can this be simplified?
Answer:
0.2+sqrt3/10
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
Well, if I'm reading it correctly, it could be simplified to (1/5)+(sqrt3/10) or 0.2+sqrt3/10.
(っ◔◡◔)っ ♥ Hope this helped, have a great day! ♥
˜”*°•.˜”*°• ~Star •°*”˜.•°*”˜
Mike and Sam Tun laps. Mike runs a lap in 5 minutes and Sam runs a lap in 6 minutes. If Mike and Sam begin running at the same time, after how many minutes will they cross the starting line at the same time?
Answer: 30 min.
Step-by-step explanation: for this, you have to find the gcf of 5 and 6, which is 30.
Final answer:
Mike and Sam will both cross the starting line together after 30 minutes of running, as 30 minutes is the least common multiple of their individual lap times of 5 and 6 minutes.
Explanation:
To find out how long it will take for Mike and Sam to cross the starting line together again, we need to determine the least common multiple (LCM) of their lap times. Mike runs a lap in 5 minutes and Sam runs a lap in 6 minutes. The LCM of 5 and 6 will give us the first time they both cross the starting line at the same time after they start running.
To calculate the LCM of 5 and 6, we list the multiples of each number until we find a common one:
5, 10, 15, 20, 25, 30, ...
6, 12, 18, 24, 30, ...
The smallest common multiple of 5 and 6 is 30. Therefore, Mike and Sam will both cross the starting line together after 30 minutes of running.
Solve for x.
8/15
15/8
24/5
Answer:15/8
Step-by-step explanation:
Answer:
15/8
Step-by-step explanation:
Cross multiply, 8x=15. Divide by 15 on both sides, 15/8 is your answer.
give the degree of the polynomial
-3w+x^6y^5-2+5y^4w^3x^2
Answer:
Here the degree of the polynomial is 11.
Step-by-step explanation:
To find the degree of the multivariate polynomials, we need to add up the powers of all the variables. So the total degree is given by the sum of all the powers of the highest powers terms.
Now in the given polynomial [tex]-3w+x^6y^5-2+5y^4w^3x^2[/tex]
the term with the highest total powers is [tex]x^6y^5[/tex] and thus the total power is 6+5=11.
And hence the degree of this polynomial is 11.
Charlene is 8 years older than Aaron. The sum of their ages is 44. What are
their ages?
Answer: charlene:52, aaron:44
Step-by-step explanation:
Add 8 to aarons age and you find your answer
Answer:
Aaron is 18 years old
Charlene is 26 years old
Step-by-step explanation:
Aaron = A
Charlene = 8 + A
Aaron + Charlene = 44
Substitute
A + 8 + A = 44
Simplify
2A + 8 = 44
Subtract 8 from both sides of the equation
2A = 36
Divide by 2
A = 18
C = 26
Hope this was useful to you!
ERICA WROTE 5 added to y as 5+y and 5 subtracted from y as 5-y.why is the expression correct but the second one incorrect? when is order important in writing an expression?
please help me.....
Answer:
Step-by-step explanation:
Order is impotant since you could easily make a positve number negative and vice versa. You switch the order of 5 subtracted by y to y-5.
what must be the length of ZY in order for ZY to be tangent to circle X at point Y?
To determine the length of ZY for it to be a tangent to circle X at point Y, we must know additional measurements, such as the radius of the circle, because a tangent is perpendicular to the radius at the point of tangency.
Explanation:To determine the length of ZY so that it is tangent to circle X at point Y, we need to apply properties of tangents to a circle. A tangent to a circle forms a right angle with the radius at the point of tangency. Therefore, in a right-angled triangle, with the radius XY being one side and ZY being the hypotenuse, we could use the Pythagorean theorem if we know the length of the radius and any other segment connected to the radius or tangent.
Without further information, such as the length of radius XY or any other segment, it's not possible to calculate the exact length of ZY. However, the essential condition is that radius XY must be perpendicular to the tangent ZY at point Y for ZY to be a proper tangent.
LMNP is a rectangle. Find the value of x and the length of each diagonal.
LN = 6x + 1 and MP = 9x-5
Final answer:
To find the value of x, set the two expressions for the lengths of the sides of the rectangle equal to each other and solve. The value of x is 2. To find the length of each diagonal, use the Pythagorean Theorem with the lengths of the sides of the rectangle. The length of each diagonal is 13 * sqrt(2).
Explanation:
To find the value of x, we can set the two expressions for the lengths of the sides of the rectangle equal to each other, since opposite sides of a rectangle are congruent. So, we have:
6x + 1 = 9x - 5
To solve for x, we can subtract 9x from both sides and add 5 to both sides:
1 + 5 = 9x - 6x
6 = 3x
x = 2
Therefore, the value of x is 2. To find the length of each diagonal, we can use the Pythagorean Theorem. The diagonal of a rectangle acts as the hypotenuse of a right triangle formed by the sides of the rectangle. In this case, the length of one side is 6x + 1, and the length of the other side is 9x - 5. So, the length of each diagonal is:
d = sqrt((6x + 1)^2 + (9x - 5)^2)
d = sqrt((6(2) + 1)^2 + (9(2) - 5)^2)
d = sqrt(13^2 + 13^2)
d = sqrt(2 * 13^2)
d = 13 * sqrt(2)
Finding the value of x
Use the given diagram to help answer the question.
Sam found a tent in his garage, and he needs to find
the center height. The sides are both 5 feet long, and
the bottom is 6 feet wide. What is the center height of
Sam's tent, to the nearest tenth?
X 3 feet
O
4 feet
5 feet
5 feet
5.5 feet
7.8 feet
6 feet
Intro
V Done
Answer:
4ft
Step-by-step explanation:
A) This is a Pythagorean Triple.
B) 3^2 +x^2=5^2
9+x^2=25
x^2=16
x=4
Answer:
It is 4
Step-by-step explanation:
6. An equilateral triangular pyramid has a slant height of 8.3 inches. The
triangular base has a perimeter of 4.8 inches and an area of 1.1 square
inches. Find the surface area of the pyramid.
the surface area of the equilateral triangular pyramid is approximately 21.03 square inches.
Let's calculate the surface area of the pyramid.
The lateral area of the pyramid, which is the sum of the areas of the three triangular faces, can be calculated using the formula:
[tex]\[ LA = \frac{1}{2} \times \text{perimeter of the base} \times \text{slant height} \][/tex]
We've already determined the perimeter of the base is 4.8 inches and the slant height is 8.3 inches. Substituting these values:
[tex]\[ LA = \frac{1}{2} \times 4.8 \times 8.3 = 19.92 \text{ square inches} \][/tex]
However, this only gives us the lateral area. To find the total surface area, we need to add the area of the base. Since it's an equilateral triangle, we can use the area formula for equilateral triangles:
[tex]\[ A_{\text{base}} = \frac{\sqrt{3}}{4} \times (\text{side length})^2 \][/tex]
The side length is [tex]\( \frac{4.8}{3} = 1.6 \)[/tex] inches, so:
[tex]\[ A_{\text{base}} = \frac{\sqrt{3}}{4} \times (1.6)^2 = \frac{\sqrt{3}}{4} \times 2.56 \approx 1.1084 \text{ square inches} \][/tex]
The total surface area is then the sum of the lateral area and the area of the base:
[tex]\[ SA = LA + A_{\text{base}} = 19.92 + 1.1084 = 21.0284 \text{ square inches} \][/tex]
Thus, the surface area of the equilateral triangular pyramid is approximately 21.03 square inches.
The question probable maybe:
An equilateral triangular pyramid has a slant height of 8.3 inches. The triangular base has a perimeter of 4.8 inches and an area of 1.1084 square inches. Find the surface area of the pyramid.
How do you solve and graph inequalities
Well, there can be three different steps.
Rearrange the equation so "y" is on the left and everything else on the right.
Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).
What’s the algebraic expression for 8 squared
Answer:
[tex]8^2[/tex]
Step-by-step explanation:
Step 1: Convert words into an expression
What’s the algebraic expression for 8 squared
8 squared -> [tex]8^2[/tex]
Answer: [tex]8^2[/tex]
If needed, solve:
[tex]8^2[/tex]
8 * 8
64
what is c- 1/2 + 16=36
Answer:
20 1/2
Step-by-step explanation:
its 20 and a half because 16+20=36 and you just need to add a half to 20 since your taking it away
Answer:
c=20.5 or 41/2
Step-by-step explanation:
c- 1/2 + 16=36
Make C the subject
c=36-16+1/2
c=20+1/2
Using LCM
c=(40+1)/2
c=41/2
c=20.5
To check if we are correct, we substitute c with 41/2. and then both sides of the equation must be equal
c- 1/2 + 16=36
41/2-1/2+16=36
20+16=36
36=36
the 13th term of a geometric sequence is 16, 384 and the first term is 4. What is the common ratio?
Answer:
[tex]\large \boxed{2}[/tex]
Step-by-step explanation:
The formula for the nth term of a geometric sequence is
aₙ = a₁rⁿ⁻¹
In your geometric sequence, a₁ = 4 and a₁₃ = 16 384.
[tex]\begin{array}{rcl}16384 & = & 4r^{(13 - 1)}}\\16384 & = & 4r^{12}\\4096 & = & r^{12}\\3.6124 & = & 12 \log r\\0.30102 & = & \log r\\r & = & 10^{0.30102}\\ & = & \mathbf{2}\\\end{array}\\\text{The common ratio is $\large \boxed{\mathbf{2}}$}[/tex]
Check:
[tex]\begin{array}{rcl}16384 & = & 4(2)^{12}\\16384 & = & 4(4096)\\16384 & = & 16384\\\end{array}[/tex]
It checks.
What’s the horizontal line and vertical line?-use X=blank and Y=blank.
Answer:
Part 1) Vertical line : [tex]x=1[/tex]
Part 2) Horizontal line : [tex]y=-4[/tex]
Step-by-step explanation:
Part 1) Write the equation for the vertical line passing through the point (1,-4)
we know that
The equation of a vertical line (parallel to the y-axis) is equal to the x-coordinate of the point that passes through it
so
The x-coordinate is 1
therefore
The equation of the line is
[tex]x=1[/tex]
Part 2) Write the equation for the horizontal line passing through the point (1,-4)
we know that
The equation of a horizontal line (parallel to the x-axis) is equal to the y-coordinate of the point that passes through it
so
The y-coordinate is -4
therefore
The equation of the line is
[tex]y=-4[/tex]
What is the difference of the two polynomials?
(92+8)–(22+3)
Answer:
75
Step-by-step explanation:
(92+8)-(22+3)
Add the terms inside of the parentheses because of PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, Subtraction)
(100)-(25)
Then subtract 25 from 100
75
Last questions for my last 15 pts.
Step-by-step explanation:
[tex] {6}^{2} - 10 \\ = 36 - 10 \\ = 26 \\ so \: kurt \: forgot \: to \: write \: units \: place \: \\ number \: 6 \: after \: 2.[/tex]
at a concession stand, seven hot dog(s) and four hamburger(s) cost $18.25; four hot dog(s) and seven hamburger(s) cost $17.50. Find the cost of one hot dog and the cost of one hamburger. What is the cost of one hot dog?
The cost of one hot dog is $1.75
The cost of one hamburger is $1.5
Step-by-step explanation:
Let,
The cost of hot dog be 'x'.The cost of hamburger be 'y'.The equations can be formed as :
7x + 4y = 18.25 --------(1)
4x + 7y = 17.50 --------(2)
Multiply eq (1) by 4 and eq (2) by 7,
28x + 16y = 73
- (28x + 49y = 122.5)
- 33y = - 49.5
y = 49.5/33
y = 1.5
The cost of one hamburger is $1.5
Substitute y=1.5 in eq (1),
7x + 4(1.5) = 18.25
7x = 18.25 - 6
x = 12.25/7
x = 1.75
The cost of one hot dog is $1.75
Plz help ASAP :))))
David is planning a party outside. He googles the weather for that particular day and it says there is a 58% chance of rain. Is it likely to rain or not likely to rain?
A:likely
B:Not likely
Answer:
It would be A:likely
Step-by-step explanation:
let's take rounding decimals for example; when you 5.86 and you were rounding to the nearest tenth it would be 5.9. That is because the 6 is greater than 5, so for the weather the highest the percentage it can be is 100% and 50% is half and since it is more than half then it would be more likely.
what is 300 times 500
Answer:
150000
Step-by-step explanation:
Answer:
150,000
Step-by-step explanation:
Which statement decribes the ratio 13:8?
A
For every 8 red roses in a bouquet, there are 13 white roses.
B
For every 8 problems Nathan got correct, he got 13 incorrect.
C
For every 13 votes that Shawn received, Gayle received 21 votes.
D
For every 13 passes thrown to Harrison, he catches 8 of them.
Answer:
D
Step-by-step explanation:
that what I think but not sure
Answer:
D
Step-by-step explanation:
It is D because A would be 8:13, B would also be 8:13, and C would be 13:21. Also, we know that D is correct because for every 13 passes, Harrison catches 8 which is 13 to 8 or 13:8.
It takes half of a yard of ribbon to make a bow. How many bows
can be made with 5 yards of ribbon?
Answer:
10 bows
Step-by-step explanation:
Each bow is 0.5 yards and you have 5 yards of ribbon. In equation form (where x = number of bows), that looks like: 0.5 * x = 5. Solve for x and you'll get x = 10.
This mathematics problem can be solved by multiplication. Since each bow requires half a yard of ribbon, each yard can produce two bows. Therefore, five yards of ribbon can produce 10 bows.
Explanation:The question requires us to determine how many bows we can make with a given number of yards of ribbon. Since it takes half a yard of ribbon to make a bow, you can fit two bows in a single yard. To find how many bows can be made with 5 yards, you can perform multiplication.
To do this, you would multiply the number of yards by 2, since each yard can create two bows: 5 yards × 2 = 10 bows. So, you can make 10 bows out of 5 yards of ribbon.
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If 3x−y=12, what is the value of 8x 2y?
A) 212
B) 44
C) 82
D) The value cannot be determined from the information given.
Answer:
D
Step-by-step explanation:
To find two unknowns, you need atleast two different equations.
The large sphere has a diameter of 12 feet. What is the volume of the shaded figure? Express the answer in terms of π.
252π ft3
261π ft3
288π ft3
324π ft3
Answer:
The Answer is A. 252π ft3
Step-by-step explanation:
Hence volume of shaded sphere is [tex]113.09734ft^{2}[/tex]
What is Volume?
Volume refers to part inside 3 d figure which tell how much space it occupies.
How to solve?
Given two concentric spheres one with D=12 ⇒ R= 6 feet other with r=3feet.
volume of shaded part[tex]=\frac{4}{3} \pi R^{3}-\frac{4}{3} \pi r^{3}[/tex]
[tex]=\frac{4}{3} \pi (R-r)^{3}[/tex]
[tex]=\frac{4}{3} \pi 3^{3}[/tex]=[tex]113.09734[/tex][tex]ft^{2}[/tex]
Hence volume of shaded sphere is [tex]113.09734ft^{2}[/tex]
Learn more about volume
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What is the length and width of a rectangle given by the trinomial r squared - 6r- 55? Use factoring
The length of the rectangle is 11 units
The width of the rectangle is 5 units.
Explanation:
The equation of the trinomial is [tex]r^{2}-6 r-55[/tex]
We need to find the length and the width of the rectangle.
The length and width of the rectangle can be determined by factoring the trinomial [tex]r^{2}-6 r-55=0[/tex]
Factoring using the quadratic formula, we have,
[tex]x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}[/tex]
where [tex]a=1, b=-6[/tex] and [tex]c=-55[/tex]
Substituting these in the above formula, we have,
[tex]r=\frac{-(-6) \pm \sqrt{(-6)^{2}-4 \cdot 1(-55)}}{2 \cdot 1}[/tex]
[tex]r=\frac{6\pm \sqrt{36+220}}{2}[/tex]
[tex]r=\frac{6\pm \sqrt{256}}{2}[/tex]
[tex]r=\frac{6\pm 16}{2}[/tex]
Hence, the two roots of the trinomial are
[tex]r=\frac{6+ 16}{2}[/tex] and [tex]r=\frac{6- 16}{2}[/tex]
Solving [tex]r=\frac{6+ 16}{2}[/tex] , we get,
[tex]r=\frac{22}{2}[/tex]
[tex]r=11[/tex]
Solving [tex]r=\frac{6- 16}{2}[/tex] , we get,
[tex]r=\frac{-10}{2}[/tex]
[tex]r=-5[/tex]
Thus, the solutions of the trinomial are 11 and -5
Since, the length of the rectangle is larger than the width, the length of the rectangle is 11 units.
Also, the width of the rectangle cannot be negative.
Thus, ignoring the negative sign, we have, [tex]r=5[/tex]
Hence, the width of the rectangle is 5 units.
d(1) = 1 / 12
d(n) = d(n – 1)*(-6)
What is the 4th term in the sequence?
Answer:
D(4) = -18
Step-by-step explanation:
D(n) = D(n – 1)(-6)
D(1) = 1/12
D(2) = D(2 – 1)(-6)
D(2) = D(1)(-6)
D(2) = 1/12 * (-6)
D(2) = -6/12
D(2) = -1/2
D(3) = D(3 – 1)(-6)
D(3) = D(2)(-6)
D(3) = -1/2 * (-6)
D(3) = 6/2
D(3) = 3
D(4) = D(4 – 1)(-6)
D(4) = D(3)(-6)
D(4) = 3 * (-6)
D(4) = -18
Answer:
D(4) = -18
Step-by-step explanation: