[tex]1\frac{1}{9}[/tex]
1) Work out the size of angle x.
2) Give reasons for your answer.
(15 points if correct)
Answer:
x= 75°
because 180°-105°=75°
two more than 16 times a number is the same as 21 less than the product of -7 and the number
Answer:
-1Step-by-step explanation:
Let the number be x, and we have equation:
16x + 2 = -7x - 2116x + 7x = - 21 - 223x = - 23x = -1The number is -1
Answer:
-1
Step-by-step explanation:
"a number" = x
-- "Two more than 16 times a number." | 16 times a number means "16x" | Two more than just means add 2.
(16x + 2)
-- "Is the same as" means equals.
(16x + 2) =
-- 21 less than the product of -7 and the number | The product of -7 and the number means "-7x" | 21 less than means subtract 21.
(16x + 2) = (-7x - 21)
-- solve for x.
(16x + 7x) = (-21 - 2)
-- combine like terms.
23x = -23
-- Divide.
x = -1
write a equation to find the "n" term of each sequence
1,3,5,7,....
Answer:
a1=1
d=3-1
=2
an=a1+(n-1)d
=1+ (n-1)2
=1+2n-2
2n-1
if g(x) = -3x +1 fill out the following table of values
Answer:
-3 (-6)+1
18 +1
19
-3 (-2) +1
6 +1
7
-3(0)+1
0+1
1
-3(2) +1
-6 +1
-5
-3(6) +1
-18 +1
-17
Step-by-step explanation:
you plug in the numbers for x into the equation and solve, and that's the value that goes into the box below the number you just plugged in
289.08 divided by 4 .......?
Answer:
72.27
Step-by-step explanation:
Answer:
72.27
Step-by-step explanation:
that's what I got on the calculator.
I need helpppp, I need to turn this in before class is over
Answer:
.
Step-by-step explanation:
Answer:
she spends 50% of her budget on her car
Step-by-step explanation:
300 is half of 600. I hope this helps :)
-3(x-4) = -9(x - 1)
X=?
Answer:
x = - 1/2
Step-by-step explanation:
-3(x-4) = -9(x - 1)
1. Distributive Property
-3 * x -3 *-4 = -9 * x -9 * -1
-3x + 12 = -9x + 9
Hint: 2 negatives make a postive
-3x + 12 = -9x + 9
2. Subtract 12 on both sides
-3x + 12 - 12 = -9x + 9 - 12
-3x = -9x + -3
3. Add 9x on both sides
-3x + 9x = -9x + 9x + -3
6x = -3
4. Divide both sides by 6 to isolate the variable
6x/6 = -3/6
x = - 1/2
Check:
-3(-1/2-4) = -9( -1/2- 1)
3/2 + 12 = 9/2 + 9
3/2 + 12 ( we need a common denominator so...lets make it 2 )
3/2 + 12*2/1*2
3/2 + 24/2 = 27/2 = 13 1/2 = 13. 5
Now...
9/2 + 9 ( we need a common denominator so..lets make it 2 )
9/2 + 9*2/1*2
9/2 + 18/2 = 27/2 = 13 1/2 = 13.5
13.5 = 13.5 CORRECT!
27/2 = improper fraction
13 1/2 = mixed number
13.5= decimal form
Hope this helped
What is 3.116372 rounded to the nearest hundred thousandths place?
Answer:
3.11637
Step-by-step explanation
I got it right ayyy :p
what is the LCM of 9,12,16
Answer: The Least Common Multiple (LCM) for 9, 12 and 16, notation LCM (9,12,16), is 144.
Answer:
its 144
Step-by-step explanation:
n is an integer.
Write the values of n such that -15 < 3n < 6
Answer:
-5<n<2Thus ans(-4,-3,-2,-1,0,1)
Step-by-step explanation:
Divide all by 3 so that we can make n and find the value using sign
i need help with this question...
2x + 3 ≤ 13
Answer: x ≤ 5
Step-by-step explanation:
Find the lcm of 5m^7+ 35m^6+50m^5 And -20m^5-80m^4+100^3
Answer:
LCM of both polynomials=[tex]\mathbf{5m^3}[/tex]
Step-by-step explanation:
Least Common Multiple
We are given the polynomials
[tex]5m^7+ 35m^6+50m^5[/tex]
[tex]-20m^5-80m^4+100m^3[/tex]
Find the common factors of each polynomial, first the coefficients:
5 = 5
35 = 5*7
50 = 5*5*2
The common factor with the least exponent; 5
Now for the variables:
[tex]m^7, m^6, m^5[/tex]
The common factor with the least exponent; m^5
LCM of [tex]5m^7+ 35m^6+50m^5: 5m^5[/tex]
Similarly:
20 = 2*2*5
80=2*2*2*2*5
100 = 2*2*5*5
Common factor of the coefficients: 2*2*5=20
Common factor of variables: [tex]m^3[/tex]
LCM of [tex]-20m^5-80m^4+100m^3 = 20m^3[/tex]
LCM of both polynomials=[tex]\mathbf{5m^3}[/tex]
The three angles of a triangle measure x+37, 90, and x+67. Find the measurement of the smallest angle in degrees.
Answer:
The smallest angle in the triangle is 30°
Step-by-step explanation:
You can solve this by including the fact that the sum of the angles in the triangle has to be 180 degrees. We're given values describing the angles, so we can simply add them together, say the equal 180, and solve for x:
[tex](x + 37) + 90 + (x + 67) = 180\\2x + 37 + 90 + 67 = 180\\2x + 194 = 180\\2x = 180 - 194\\2x = -14\\x = -7[/tex]
The smallest angle then is x + 37, or 37 - 7, giving us 30°
If three angles of a triangle measure x+37, 90, and x+67. Then 30 degrees is the measurement of the smallest angle in degrees.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given,
The three angles of a triangle measure x+37, 90, and x+67.
We need to find the measurement of smaller angle.
From angle sum property we know that the sum of three angles is equal to 180 degrees.
x+37+90+x+67=180
2x+194=180
Subtract 194 from both sides
2x=180-194
2x=-14
Divide both sides by 2.
x=-7
Substitute the value of x in smallest angle
x+37
-7+37=30
Hence the measurement of the smallest angle in degrees is 30
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John hit a golf ball from the ground and it followed the projectile h(t)=-16t²+100t+0, where is the time in seconds, and ℎ is the height of the ball. Use the quadratic formula to solve the two roots. These represent the 2 times that the ball is on the ground. At what time does the golf ball land? What is the max height of the golf ball? At what time (t) is the golf ball at the maximum height?
Answer:
The maximum height of the golf ball h(t) = 156.25m
The maximum height of the golf ball at t = 3.125 seconds
Step-by-step explanation:
Step(i):-
Given
h(t)=-16t²+100t ...(i)
Differentiating equation (i) with respective to 't'
[tex]\frac{dh}{dt} = -16(2t) + 100 (1)[/tex]
-32t + 100 =0
⇒ -32 t = -100
[tex]t = \frac{100}{32} = \frac{25}{8} = 3.125[/tex]
t = 3.125 > 0
Step(ii):-
Given h(t) = -16t²+100t = 0
t ( -16 t + 100 ) =0
t =0 and -16t = -100
t =0 and t = 6.25
Step(iii):-
h(t) = -16t²+100t ...(i)
put t=0 in equation (i)
h(0) = 0
put t = 3.125 in equation (i)
h(t) = -16(3.125)²+100(3.125)
h (t) = 156.25
Put t = 6.25
h(t) = -16(6.25)²+100(6.25)
= 0
The maximum value h(t) = 156.25 at 3.125
final answer:-
The maximum height of the golf ball h(t) = 156.25m
The maximum height of the golf ball at t = 3.125 seconds
How many lines of symmetry does this figure have?
A. 1
B. 2
C. 4
D. 8
E. 14
A company rents two storage units. Both units are cube- shaped. What is the difference in volume of the two storage units? Note that the volume of a cube a square is s(2) , where is the side length. Explain.
Answer:
The difference between their volumes is [tex]237.375ft^3[/tex]
Step-by-step explanation:
The attachment completes the question.
For cube 1:
[tex]s_1 = 8ft[/tex]
For cube 2:
[tex]s_2 = 6.5ft[/tex]
Required
The difference in their volumes
First, we calculate the volume of box 1
[tex]V_1 = s_1^3[/tex]
Substitute 8 for s1
[tex]V_1 = 8^3[/tex]
[tex]V_1 = 512ft^3[/tex]
Next, we calculate the volume of box 2
[tex]V_2 = s_2^3[/tex]
Substitute 6.5 for s2
[tex]V_2 = 6.5^3[/tex]
[tex]V_2 = 274.625ft^3[/tex]
The difference is then calculated as:
[tex]Difference = |V_1- V_2|[/tex]
[tex]Difference = |274.625- 512|[/tex]
[tex]Difference = |-237.375|[/tex]
[tex]Difference = 237.375[/tex]
Hence, the difference between their volumes is [tex]237.375ft^3[/tex]
Work out angle BXC.
Give a reason for each angle you work out.
Answer:
∠ BXC = 70°
Step-by-step explanation:
∠ XBC and ∠ AXY are corresponding angles and are congruent, then
∠ XBC = 55°
Since XB = XC , then Δ XBC is isosceles and the 2 base angles are congruent.
∠ BXC = 180° - (55 + 55)° ← angle sum of triangle
∠ BXC = 180° - 110° = 70°
The measure of angle BXC is 70°
What s transversal?"It is a line that passes through two lines in the same plane at two different points."
What are parallel lines?"These are the lines in the same plane that are at equal distance from each other and never meet."
What are isosceles triangle?"It is a triangle having any two sides equal in length."
For given example,
We can observe that XY and BD are parallel lines and AB is the transversal.
Here,
∠AXY = ∠XBC ..............(Corresponding angles)
⇒ ∠XBC = 55°
In figure, for ΔXBC the sides XB and XC are equal.
So, ΔXBC is an isosceles triangle.
We know, for isosceles triangle, angles opposite to equal sides are equal in measure.
⇒ ∠XBC = ∠XCB
⇒ ∠XCB = 55°
We know, the sum of all angles of the triangle is 180°.
⇒ ∠XBC + ∠XCB + ∠BXC = 180°
⇒ 55° + 55° + ∠BXC = 180°
⇒ 110° + ∠BXC = 180°
⇒ ∠BXC = 70°
Therefore, the measure of angle BXC is 70°
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Can anyone help me please!?
Answer:
Step-by-step explanation:
(==========================)
( 12.024 )
( 12.04 )
( 1,204.2 )
(==========================)
12.024 12.04 1,204.2
=========,=========,=========
hope this helps
Please please help please please
Answer:
A. 4/ 3
Step-by-step explanation:
With reference angle X
perpendicular (p) = 24
base (b) = 18
Now
tan X = p / b = 24 / 18 = 4 / 3
What is 4.4% of 625?
Answer:
27.5
Step-by-step explanation:
Answer:
Answer: 27.5 and your welcome!!
Hello Pleasa help ASAP !!!!
7. A city lot is twice as long as it is wide, If its perimeter is 480 units, what are the dimensions of the lot?
Answer:
Step-by-step explanation:
P = 480
P = 2 length + 2 width
but we also know that
2width = length
so plug that into the length
P = 2(2width) + 2 width
480 = 4 width + 2 width
480 = 6 width
80 = width
160= length
see?
Simplify the expression so there is only one positive power for each base.
i hope you understand
Which isa zero of the quadratic function f(x) = 4x + 24x + 11?
Ox=9.25
Ox=-5.5
Ox=0.5
Ox=3.25
Answer:
b
Step-by-step explanation:
just took the test edg 22
Option B is correct, -5.5 is the zero of the quadratic function f(x) = 4x + 24x + 11
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
The given quadratic function is f(x) = 4x²+24x+11
We have to find the zero of the function.
Let us use the quadratic formula to find the zero.
a=4, b=24 and c=11
Let us plug in these values in quadratic formula
x=- 24±√24²-4(4)(11)/8
=-24±√576-176/8
=-24±√400/8
=-24±20/8
=4(-6±5)/8
=(-6+5)/2 or -6-5/2
=-1/2 or -11/2
=-0.5 or -5.5
Hence, Option B is correct, -5.5 is the zero of the quadratic function f(x) = 4x + 24x + 11
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Leticia can run 2 miles in 11 minutes. How long would it take her to run 8
miles at the same pace?
1:22 min
2:44 min
3:5.5 min
4:30 min
Answer:
44 minutes
Step-by-step explanation:
8/2 is 4, multiply 11 by 4, 44 is your answer
Answer:
44 Minutes
Step-by-step explanation:
if you multiply the amount of time, 11 minutes, by 4, because 8 / 2 is 4, you'll get 44 minutes
Select the correct answer.
Twenty students in Class A and 20 students in Class B were asked how many hours they took to prepare for an exam. The data sets represent their answers.
Class A: {2, 5, 7, 6, 4, 3, 8, 7, 4, 5, 7, 6, 3, 5, 4, 2, 4, 6, 3, 5}
Class B: {3, 7, 6, 4, 3, 2, 4, 5, 6, 7, 2, 2, 2, 3, 4, 5, 2, 2, 5, 6}
Which statement is true for the data sets?
A.
The mean study time of students in Class A is less than students in Class B.
B.
The mean study time of students in Class B is less than students in Class A.
C.
The median study time of students in Class B is greater than students in Class A.
D.
The range of study time of students in Class A is less than students in Class B.
E.
The mean and median study time of students in Class A and Class B is equal.
Answer:
B. The mean study time of students in Class B is less than students in Class AStep-by-step explanation:
Class A:
{2, 5, 7, 6, 4, 3, 8, 7, 4, 5, 7, 6, 3, 5, 4, 2, 4, 6, 3, 5}
Number = 20Sum = 96Mean = 96/20 = 4.8Range = 8 - 2 = 6Class B:
{3, 7, 6, 4, 3, 2, 4, 5, 6, 7, 2, 2, 2, 3, 4, 5, 2, 2, 5, 6}
Number = 20Sum = 80Mean = 80/20 = 4Range = 7 - 2 = 5Correct option is B
Which does the ratio 17:44 represent?
Answer:
Step-by-step explanation:
the part-to-whole relationship between homework help and sports
x^2= 36/121 what is x?
Answer:
0.545436
Step-by-step explanation:
First convert the fraction into a decimal
36/121 is 0.2975
Then find the square root which is 0.545436
15 POINTS HELPPPP
1. Object B has more mass than Object A. How would the velocity of Object B change if you exerted
the same strength force on Object B as you did on Object A? Why?
Which One Doesn't Belong?
6(4 + 3)
418 + 14)
3(8 + 6)
18 + 24