Answer: 267.9
Step-by-step explanation:
New diameter = 8 inches
Radius = 4 inches
Volume of a sphere = 4/3 π x r^3
= 4/3 * 3.14 * 4^3
= 267.9 cu. in.
what is the solution to the inequality a-3>5
Answer:
a > 8
Step-by-step explanation:
a-3>5
Add 3 to each side
a-3+3>5+3
a > 8
Answer:
a > 8
Step-by-step explanation:
a - 3 > 5
Add 3 on both parts.
a - 3 + 3 > 5 + 3
The a variable must be on one side.
a > 8
What is the y-intercept of the line with the equation y = one-half x minus 3?
a.-3
c.-6
b.6
d.One-half
Answer: A
Step-by-step explanation:
The equation given is y=1/2x-3. The y-intercept is the contant. It does not have any variable attached to it. The y-intercept is -3.
Answer:
A. -3
Step-by-step explanation:
The y intercept of a equation will always be the one that's has no variable beside it
Example: y=2x+5
In this equation, 5 is your y intercept
And 2 is your slope
Hope this helps!
Two boxes are similar, the length of the side of the small box is 4cm, the length of the side of the big box is 16cm. The volume of the big box is 320cm3 what is the volume of the small box?
Answer:
80cm^3
Step-by-step explanation:
16/4 = 4
This means that the scale factor = 4
320cm^3 = Volume of BB
BB/4 = Volume of SB
320/4 = 80
Therefore, the volume of the small box = 80cm^3.
what is the solution to the system of equations? A. (7,4) B. (7,13/3) C. (8,14/3) D. (9,7)
Answer:
B. (7, 13/3)
Step-by-step explanation:
Since the graph doesn't show the intersecting point, we must use algebra to solve this (Substitution or elimination).
Step 1: Substitute y
1/3x + 2 = 4/3x - 5
Step 2: Isolate x
-x + 2 = -5
-x = -7
x = 7
Step 2: Find y using x
y = 1/3(7) + 2
y = 7/3 + 2
y = 13/3
the qestion is in the picture
Answer:
25 students are in the class.
Step-by-step explanation:
There are 3/5 girls, and there are 10 boys, so there are 2/5 boys. 5/5 is the whole class, so here is how we would solve it: 2/5=10 3/5=15, 10+15=25. Hope this helps!
what is the square root of 9/49
Answer:
[tex] \pm \frac{3}{7} [/tex]
Step-by-step explanation:
[tex] \huge \sqrt{ \frac{9}{49} } = \pm \frac{3}{7} \\ [/tex]
What is the equation of a trend line that passes through the points (7,450) and (14,401).
Answer:
y = -7x + 499
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope Formula: [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Find slope m
m = (401 - 450)/(14 - 7)
m = -49/7
m = -7
y = -7x + b
Step 2: Find b
450 = -7(7) + b
450 = -49 + b
499 = b
Step 3: Rewrite equation
y = -7x + 499
Last weekend 270 movie tickets were sold. This weekend 216 tickets were sold.
Find the percent of change in the number of tickets sold from last weekend to
this weekend.
Answer:
brainliest appreciated
Step-by-step explanation:
270- 216 = 54
so ...the percentage becomes
54/270 × 100 = 20%
Check all of the infinite geometric series that diverge.
27 + 9 + 3 + 1 + . . .
2.2 + 0.22 + 0.022 + . . .
ANSWER B&D
Answer: b and d
Step-by-step explanation:
On edge
Help, I’m stuck on this question
Answer: 33 degrees
Step-by-step explanation: Angle x=angle m
Answer:
the triangle on the left is named XYZ
the triangle on the right is named MNL
therefore ∠X ≅ ∠M, ∠Y ≅∠N, and ∠Z ≅ ∠L
since ∠X = 33º, then ∠M = 33º
hope this helps :)
Which set of side lengths forms a right triangle?
Answer:
15, 36, 39
Step-by-step explanation:
Use the Pythagorean theorem.
a² + b² = c²
2² + 3² ≠ 13²
4² + 6² ≠ 10²
9² + 12² ≠ 18²
15² + 36² = 39²
Answer:
15 , 36 , 39Step-by-step explanation:
[tex]Lets -test-using ;\\Pythagoras -Theorem=\\a^2+b^2=c^2\\\\(A.) 2,3,13\\2^2 +3^2 = 13^2\\13 = 169\\WRONG\\\\(B.) =4,6,10\\4^2+ 6^2 =10^2\\16+ 36 = 100\\52 = 100\\WRONG\\(C.) 9,12,18\\9^2+12^2=18^2\\225 = 324\\WRONG\\\\(D.) 15 , 36 ,39\\15^2 +36^2 = 39^2\\1521=1521\\\\CORRECT[/tex]
Pls hurry
For what value of the variable is the value of the expression:
8-y two times greater than the value of the expression 7+y?
Answer:
-2
Step-by-step explanation:
8--2=8+2=10
7+-2=7-2=5
5x2=10.
What is 2x + 2x + 2 = 4x + 2
Answer:
I think the answer is 33 I'm not sure but that is what I got
A line has a slope 2/3 and a y- intercept -2 witch answer is the equation of the line
Answer:
y = 2/3x - 2
Step-by-step explanation:
I'm pretty sure this is asking about the slope intercept form, since you didn't give us the actual answers. If not, comment below. Slope intercept form follows the y = mx + b form, where m is the slope and b is the y-intercept. By plugging your givens in, you get y = 2/3x - 2
Can someone plzz help ASAP !!!
Answer & Step-by-step explanation:
First, we must evaluate each number so we can see the value of them.
π = 3.141592...
√10 = 3.162277...
-5/2 = -2.5
10/3 = 3.3333....
-1/4 = -0.25
Now, let's order these numbers from greatest to least just as the problem has asked.
1st: 10/3
2nd: √10
3rd: π
4th: -1/4
5th: -5/2
HELPPPP Find the next two terms in the following sequence 13,-5,-35,-77
Answer:
13,-5,-35,-77,-131,-197
Step-by-step explanation:
To get from 13 to -5, you subtract 18 (or add -18)
To get from -5 to -35, you subtract 30
To get from -35 to -77, you subtract 42
Notice that the amount being subtracted is increasing by 12 each time.
So the next subtraction will be 54, and the one after that will be 66.
So the next term is -77 - 54 = -131
And the term after that is -131 - 66 = -197
So the sequence would be: 13,-5,-35,-77,-131,-197
Horatio is solving the equation Negative three-fourths + two-fifths x = StartFraction 7 Over 20 EndFraction x minus one-half. Which equations represent possible ways to begin solving for x? Check all that apply. Two-fifths x = StartFraction 7 Over 20 EndFraction x + one-fourth Two-fifths x = StartFraction 7 Over 20 EndFraction x + five-fourths Negative three-fourths = negative StartFraction 1 Over 20 EndFraction x minus one-half Negative three-fourths = three-fourths x minus one-half Negative three-fourths + StartFraction 1 Over 20 EndFraction x = negative one-half
Answer:
x = 5
Step-by-step explanation:
Step 1: Write equation
-3/4 + 2/5x = 7/20x - 1/2
Step 2: Subtract 7/20x on both sides
-3/4 + 1/20x = -1/2
Step 3: Add 3/4 to both sides
1/20x = 1/4
Step 4: Divide 1/20 on both sides
x = 5
Answer: Answer: The answer is A,C,E
A: 2/5x = 7/20 x+ 1/4
C: -3/4 = -1/20 x -1/2
E: -3/4 + 1/20 x= -1/2
15
Find the values of x in this equation: x-
-= 2.
х
A.
-7,3
B.
-5, 2
C.
-7,5
D.
-2,5
E.
-3,5
Reset
Next
Answer:
Option (E)
Step-by-step explanation:
Expression given in the attachment,
[tex]x-\frac{15}{x}=2[/tex]
By multiplying with x on both the sides of the given equation,
x² - 15 = 2x
x² - 2x - 15 = 0
x² - 5x + 3x - 15 = 0
x(x - 5) + 3(x - 5) = 0
(x + 3)(x - 5) = 0
(x + 3) = 0
x = -3
And (x - 5) = 0
x = 5
Therefore, x = -3, 5 are the solutions of the given equation.
Option (E) will be the answer.
define algebraic expression
Step-by-step explanation:
In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations. For example, 3x² − 2xy + c is an algebraic expression. Since taking the square root is the same as raising to the power, is also an algebraic expression.
Select the correct answer from each drop-down menu.
ABCD is a parallelogram
M
M
M
Answer:
x=63
z=72, y=45
Step-by-step explanation:
Angles "z+y" and "x" add up to 180°, so they are supplementary angles.
angle B=72+b+63=180⇒b=180-135=45
angle B=72+45=117
angle A+angle B=180
x+117=180
x=180-117=63
angle D+angle A=180
z=72, y=45 alternate angles (opposite angle of parallelogram are congruent)
x+z=117 = angle B
Which compound inequality can be used to solve the inequality 13x+2 >7?
RE
-7 <3x+2> 7
ОООО
-7> 3x+2> 7
3x + 2 >-7 or 3x + 2 >7
3x + 2<-7 or 3x + 2 >7
Answer:
(D)[tex]3x+2 < -7$ or $3x+2 >7[/tex]
Step-by-step explanation:
Given the absolute inequality: [tex]|3x+2| >7[/tex]
When solving absolute inequalities, if the problem has a greater than sign we set up an "OR" compound inequality that looks like this:
(Expression inside absolute value) < - (number on other side) OR (Expression inside absolute value) > (number on other side)Therefore, for the absolute inequality |3x+2| >7, we have:
[tex]3x+2 < -7$ or $3x+2 >7[/tex]
The correct option is D.
can someone help ???
Answer: 450
Step-by-step explanation:
971 = B + (T+71)
971-71 = 2 B
450 = B
help.. Me plssssssss
1)
2, 5, 8, 11, 14
2)
0, 2, 8, 18, 32
3)
-6, -1, 2, 3, 10, 29
substitute the given values for x and do as the function says.
Situation:
Find the age of the mammal hide to the nearest
year.
A farmer in China discovers a mammal
hide that contains 76% of its original
amount of C-14.
Enter the correct answer.
DONE
N= Noekt
DOO
GO
No = inital amount of C-14 (at time
t = 0)
N = amount of C-14 at timet
k = 0.0001
t = time, in years
Find the age of the mammal hide to the nearest
The answer is 3425.
Be safe!
-Eli
:))
An: The person above is wrong the answer is actually 2744.
Step-by-step explanation:
Find the roots of x^2+5x-24=0
Answer:
The roots for the given equation are -8 and 3.
Step-by-step explanation:
The first thing we must do in order to find the roots is factor the equation. We can do this by first multiplying the first and last term together. Then, we find the factors of that product that multiply together to that product but also adds together to get the middle term in the equation.
x² * -24 = -24x²
-24x² = 8x * -3x
Now, we write our new equation by replacing 5x with 8x - 3x.
x² + 8x - 3x - 24
Group the first and second terms together and also group the last two terms together.
(x² + 8x) + (-3x - 24)
Factor each parentheses. You will know that you factored them correctly when the two terms in the final parentheses are the same.
x(x + 8) -3(x + 8)
Since the two terms in the parentheses are the same, hen we have correctly factored out the equation. Now, we form the equation so we can find the roots.
(x - 3)(x + 8)
Now, equal each term in the parentheses to zero.
x - 3 = 0
x + 8 = 0
Now, solve for x in each equation. The final answer for each equation will be our roots. The roots are the values of x in a quadratic equation.
x = 3
x = -8
So, the roots of this equation are {-8, 3}
Triangles Very Easy PIC INCLUDED
Answer:
sin30° and cos60°
Step-by-step explanation:
We can see that we can use multiply trig identities to solve for r:
sin30° = r/20
r = 20sin30°
cos60° = r/20
r = 20cos60°
Fiona draw a circle with a diameter of 14 meters. What is the area of Fiona circle?
Answer:
153.938 meters
Step-by-step explanation:
The area of a circle is Pi * (Radius)^2. The radius is the diameter/2.
14/2=7
Pi * (7)^2
153.938 m
Answer:
154 cm^2Step-by-step explanation:
[tex]d =14\\Area = \pi \times r^2\\r = d/2\\r = 14/2\\r= 7\\A = 22/7 \times 7^2\\\frac{22}{7} \times 49\\Simplify\\\frac{22}{1} \times 7\\Area =154[/tex]
[tex]A =\frac{1}{4} \pi \times d^2\\A = \frac{1}{4} \times \frac{22}{7} \times14^2\\A = 1/4\times22/7\times196\\A = 154cm^2[/tex]
AWARDING BRAINIEST
Find the perimeter of the following shape, rounded to the nearest tenth:
a coordinate plane with quadrilateral ABCD at A negative 2 comma 0, B 0 comma negative 2, C negative 3 comma negative 5, D negative 5 comma negative 3
A) 10
B) 11.3
C) 12
D) 14.1
PLEASE ANSWER QUICK! I REALLY NEED HELP!
Answer:
a) Angle 1 = Value in degree = 95°
b)Angle 2 = Value in degree = 77°
c) Angle 3 = Value in degree = 85°
d) Angle 4 = Value in degree = 103°
Step-by-step explanation:
We use circle theorems to solve for this above question.
a) Angle 1 = Value in degree = 95°
Inscribed Angle is 1/2 of an Intercepted Arc
From the diagram, Angle 1 intersects at Arc B and Arc C
This means Angle 1 = (B + C)/ 2 =
Arc B = 100°
Arc C = 90°
Angle 1. = (100° + 90°)/ 2 = 190/ 2 = 95°
b)Angle 2 = Value in degree = 77°
From the diagram, Angle 2 intersects at Arc C and Arc D
Inscribed Angle is 1/2 of an Intercepted Arc
This means Angle 1 = (C+ D)/ 2
C = 90°
D = 64°
Angle 1. = (90° + 64°)/ 2 = 154/ 2 = 77°
c) Angle 3 = Value in degree = 85°
From the diagram, we can see that Angle 1 is opposite Angle 3, hence,
Opposite angles are supplementary which means their addition = 180°
Mathematically:.Angle 1 + Angle 3 = 180°
Angle 1 = 95°
95° + Angle 3 = 180°
Angle 3 = 180° - 95° = 85°
d) Angle 4 = Value in degree = 103°
From the diagram, we can see that Angle 2 is opposite Angle 4,
Hence,
Opposite angles are supplementary which means their addition = 180°
Mathematically:.Angle 2 + Angle 4 = 180°
Angle 2 = 77°
77° + Angle 3 = 180°
Angle 4 = 180° - 77° = 103°
good morning :)
I want to exchange $500 to yen. How many yen will I receive if the rate of a Japanese yen to the U.S. dollar is 116.22 to 1?
A. 58,115 yen
B. 58,110 yen
C. 5,811 yen
D. 4.3 yen
Answer: B ¥58,110
Step-by-step explanation:
$1 = ¥116.22
$500 = ?
= 500 x 116.22
= 58,110
Answer:
B
Step-by-step explanation: