Answer:
[tex]15 × 10^{0}[/tex]
Step-by-step explanation:
5 × 10^-7 × 3 × 10^6
15 × 10^-1
= 1.5 × 10^0
Answer:
15 × 10^{-1} is the correct
Step-by-step explanation:
What is the value of this expression when c= -4 and d = 10?
1/4(c3+d2)
The value of the expression using BODMAS rule is 9.
What is simplification?
To simplify the arithmetic expression involving more operators, we need to use BODMAS rule. The full form of BODMAS is Brackets (Parts of a calculation inside the bracket always come first), Precedence of brackets are : [{(bar)}], Orders (powers and square roots), Division, Multiplication, Addition, Subtraction.
For the given situation,
The values are c = -4, d = 10
The expression is 1/4(c^3+d^2)
Substitute the above values,
⇒ [tex]\frac{1}{4}(c^{3}+d^{2} )[/tex]
⇒ [tex]\frac{1}{4} (-4^{3} +10^{2} )[/tex]
⇒ [tex]\frac{1}{4}(-64+100)[/tex]
⇒ [tex]\frac{1}{4}(36)[/tex]
⇒ [tex]9[/tex]
Hence we can conclude that the value of the expression using BODMAS rule is 9.
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Answer: 9
Step-by-step explanation:no clue how I got it but the test marked it correct
Use the Distributive Property to write an expression equivalent to 4(p-12).
Answer:
4p - 48
Step-by-step explanation:
(4 × p) + (4 × 12)
I hope this helps!
Answer:
4p - 48
Step-by-step explanation:
(4 × p) + (4 × 12)
What if the value of x?
Answer:
x = 5
Step-by-step explanation:
This is a right triangle with hypotenuse x
We can use the Pythagorean theorem
a^2+b^2 = c^2
3^2+4^2 = x^2
9+16= x^2
25=x^2
Take the square root of each side
sqrt(25) = sqrt(x^2)
5 = x
A factory sells backpacks for $40 each. The cost to make 1 backpack is $10.00. In addition to the costs of making backpacks, the factory has operating expenses of $12,000 per week. The factory’s goal is to make a profit of at least $9800 each week. Which inequality represents the number of backpacks ,x, that need to be sold each week for the factory to meet this goal?
Answer:
x (40-10) -12000≥980
The factory must sell 433 backpacks to meet its weekly goal.
Hi, to answer this question we have to write an inequality.
So, since the backpacks (x) are sold by $40 and the cost of making one is $10, the revenue per bag is equal to 40x and the cost is 10x.
12,000 of operating expenses are also expenses.
So, for the profit:
Profit = revenue- cost
P = 40x-10x-12,000
P = x (40-10)-12000
The factory goal is to make a profit of at least $980 each week, so, the profit must be greater or equal than 980.
x (40-10) -12000≥980
Solving for x
30x-12000≥980
30x≥980+12000
30x ≥12980
x≥12980/30
x≥432.6
x≥433 (rounded, because if the sell 432 they will not meet the goal)
The factory must sell 433 backpacks to meet its weekly goal.
Step-by-step explanation:
burritos are on the sale for 30% off. Your favorite burrito normally costs $8.50. how much does it cost now?
Answer:
5$
Step-by-step explanation:
70%x8.50 equalss 5$
$8.5− 30
/100 = 41
/5
(Decimal: 8.2)
What’s the missing leg length
Answer:
15
Step-by-step explanation:
pythag theorum
Answer:
15
Step-by-step explanation:
Pythagorean thm. says a^2+b^2=c^2 where a and b are the legs of the triangle and c is the hypotenuse.
The hypotenuse, c = 17
Leg b =8
a^2=c^2-b^2
a^2=17*17-8*8
a^2=289-64
a^2=225
Take the square root of both sides.
a = 15
What is the value of x?
B
80°
Enter your answer in the box.
x=
Х
А
55°
с
Answer:
x = 45
Step-by-step explanation:
The sum of the angles of a triangle is 180
80+55+x = 180
135 +x = 180
Subtract 135 from each side
x = 180-135
x =45
Answer:
45
Step-by-step explanation:
combining the a and b lengths gives you 135 then subtract by 180 and you get 45.
A small pouch contains 8 black marbles,5 white marbles, and 12 red marbles. Find the probability of picking a red then a black marble if you do not replace the first marble.
Answer:
4/25
Step-by-step explanation:
Total amount of marbles: 8 + 5 + 12 = 25
With 25 marbles, the probability of picking a red is: 12/25
After 1 red marble is removed, the probability of picking a black is: 8/24 = 1/3
Then, the probability of picking a red then a black marble if you do not replace the first marble is: 12/25 * 1/3 = 4/25
The mean of four numbers is 85. The four numbers are 86, 83, 81, and .
a) Write an equation to show this information
b) Solve the equation for .
Answer:
90
Step-by-step explanation:
a)
Since, to find the average of a set of numbers, you need to add them all together and divide by the amount of numbers:
[tex]\dfrac{86+83+81+x}{4}=85[/tex]
b)
Multiply both sides by 4:
[tex]86+83+81+x=340\\x=90[/tex]
Hope this helps!
I WILL GIVE YOU BRAINLIEST, AND 30 POINTS SO PLEASE HELP ME, IT'S URGENT!
The volume of the giant beach ball is approximately 267.95 feet^3 . Find the diameter of the ball. Use 3.14 for pie.
Answer:
8 feet
Step-by-step explanation:
Hello, I can help you with this.
the volume of a sphere is given by.
[tex]Volume= \frac{4}{3} \ \pi\ radius^{3}\\\\[/tex]
Step one
isolate radius
[tex]\frac{3}{4}* volume= \pi\ radius^{3}\\\\\\\ \frac{3}{4 \pi }* volume=radius^{3}\\radius=\sqrt[3]{\frac{3}{4 \pi }* volume}[/tex]
According to the question the volume is 267.95 cubic feet , and pi= 3.14
put this values into the equation
let
volume =267.95
pi=3.14
[tex]volume=radius^{3}\\radius=\sqrt[3]{\frac{3}{4 \pi }* volume}\\radius=\sqrt[3]{\frac{3}{(4 *3.14) }*267.95}\\radius=\sqrt[3]{64}\\\\radius=4[/tex]
so the radius of the beach ball is 4 feet, but we need its diameter
Diameter=2* radius
radius=4 feet
Diameter= 4 feet*2
Diameter=8 feet
what a big ball¡¡
I hope it helps, have a great day.
The unit of metric measurement used
when measuring the width of your
pencil point.
A. Milliliters
B. Milligrams
C. Millimeters
D. Centimeters
The unit of metric measurement used
when measuring the width of your
pencil point is millimeters
What are the odds against selecting a red marble
Answer: it’s the first one.
Step-by-step explanation:
1. Jayden spent $46.20 on 12 gallons of gasoline. What was the price per gallon?
2. Jayla buys 1.2 pounds of bananas. The bananas cost $1.29 per pound. To the nearest cent, how much does Jayla pay for the bananas?
3.Billy ate 1/4 of a pizza, and Wi ate 1/3 of the same pizza. How much of the Pizza did they eat in all?
plz show the work
Answer: 1. $3.85
2. $1.55
3. 7/12
Step-by-step explanation:
1. Since you are finding out price PER gallon, you would divide $46.20 by 12 because Jayden bought 12 gallons.
2. Since they give you the price per gallon and the amount bought in this problem, you will multiply 1.2 and $1.29. Think of this as if you were buying 5 apples and each cost $1, you would do 5 x 1 to find the total cost. The same concept applies here.
3. To add 1/4 and 1/3 you would find a common denominator. The common denominator would be 12. 1/4 = 3/12 and 1/3 = 4/12. Now you can add them together, 3/12 + 4/12 = 7/12
Help me please help me helpm
Answer:
[tex]g(x) = {(x + 9)}^{2} [/tex]
Solve this brain teaser, please!!!
Answer:
0 in the end they all burn out
Step-by-step explanation:
Answer: 10
Step-by-step explanation:
The graph of Y = COS X+ż is the graph of the y = cos(x) shifted in which direction?
T
2 units to the left
2
units to the right
units up
2 units down
Answer:
2 units up
Step-by-step explanation:
You're just taking the entire graph of cos(x) and then adding 2 so it moves everything up. If you added 2 to x BEFORE taking the cosine
(like y = cos (x+2) ), then you would shift it left 2. Adding and subtracting from the x moves everything left or right. Adding or subtracting at the end just moves it up and down.
The graph of y = cos x + 2 is the graph of the y = cos(x) shifted in ''2 units up.''
What is Translation?
A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
To find the graph of y = cos x + 2 is the graph of the y = cos(x) shifted in which direction.
Here, The function is,
⇒ y = cos x
Now, After translate 2 units up, we get;
⇒ y = cos x + 2
Thus, The graph of y = cos x + 2 is the graph of the y = cos(x) shifted in ''2 units up.''
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Perform the addition of polynomials (middle school math pls help!)
Answer: 1/4a - 1/6b + 1/10c
Hope this helped! Have a great rest of your day :)
Which of the following is a correct step for constructing a median of triangle LMN? Bisect side LN. Construct a line perpendicular to LN through vertex M. Bisect the angle at vertex M. Extend the angle bisector to intersect side LN. Bisect side LN. Construct a line segment through vertex M and the midpoint of side LN. Bisect side LN and side MN. Construct a line segment connecting the two midpoints. plzzz help
Answer:
C: Bisect side LN. Construct a line segment through vertex M and the midpoint of side LN.
Step-by-step explanation:
Just took assignment.
Answer:
C
Step-by-step explanation:
c
1. which is greater value 0.4 3/4 0.15
2. which is least value 2 and 2/3, 2.45, 2 and 2/5
3.which is the greater value 3.95, 3 and 5/6, 3 and 4/5
ANSWER THEM ALLL
What is the value of y in this triangle?
980
А.
124°
В. 98°
Ос. 56°
OD. 36°
Answer:
D.36
Step-by-step explanation:
you have to subtract them to get your answer.
A cube has a volume of 8 cubic feet. What is the length of the cube?
Answer:
The side length is 2 ft
Step-by-step explanation:
A cube has a volume of
V = s^3
8 = s^3
Take the cube root of each side
8 ^ 1/3 = s^3 ^1/3
2 = s
Solve the system using elimination and describe your steps.
3x + y = 9
5x + 4y = 22
-------------------
Answer:
x = 2, y=3
Step-by-step explanation:
3x + y = 9
5x + 4y = 22
Multiply the first equation by -4
-4(3x + y) = 9*-4
-12x -4y = -36
Add this to the second equation to eliminate y
-12x -4y = -36
5x + 4y = 22
---------------------------
-7x = -14
Divide each side by -7
-7x/-7 = -14/-7
x = 2
Now find y
3x+y = 9
3(2) +y = 9
6+y = 9
Subtract 6 from each side
-6+6 +y = 9-6
y = 3
Answer:
x = 2, y = 3
Step-by-step explanation:
3x + y = 9 (1)
5x + 4y = 22 (2)
Multiply equation (1) by -4 and add to equation (2)
-12x - 4y = -36
5x + 4y = 22
-7x = -14
x = 2
Using any equation, solve for y
5(2) + 4y = 22
4y = 12
y = 3
help me with this please I don't exactly get it
Answer:
P = 40.56 in (ANS)
Step-by-step explanation:
radius = 8/2 = 4 in
semi-circle perimeter = pi * R = 3.14 * 4 = 12.56 in
figure perimeter = 12.56 + 10 + 8 + 10 = 40.56 in (ANS)
what is the distance between the points (-4,0) and (-7, -14) ?
Answer:
Step-by-step explanation:
(-4,0) ; (-7, -14)
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\ =\sqrt{(-7-[-4])^{2}+(-14-0)^{2}}\\\\ =\sqrt{(-7+4)^{2}+(-14)^{2}}\\\\=\sqrt{(-3)^{2}+(-14)^{2}}\\\\=\sqrt{9+196} \\\\=\sqrt{205} \\\\=14.3178[/tex]
Write a quadratic function with a vertex at (-9,13).
Answer:
y = x² + 18x + 94
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 9, 13) and letting a = 1, then
y = (x + 9)² + 13 ← expand (x + 9)² using FOIL
= x² + 18x + 81 + 13
= x² + 18x + 94
A plane intersects a pentagonal pyramid horizontally as shown. Describe the cross-section.
A)
pentagon
B)
rectangle
C)
trapezoid
D)
triangle
Answer:
The answer is A I JUST DID it
The cross section of the figure is Pentagon.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A plane intersects a pentagonal pyramid horizontally as shown.
Now, By the given figure,
The plane slices through the pentagonal pyramid horizontally and forms a pentagon shaped cross-section.
Hence, It represent the Pentagon.
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Question 5 (1 point)
Answer:
B. [tex]\frac{d + 13}{d + 4}[/tex]
Hope this Helps :)
What is the value of x? Leave answer in simplest radical form.
8
60°
Answer:
Your answer is A . 8
Step-by-step explanation:
hope it helps !
PLEASE ANSWERRRRR! EASY!!!!!!!!!!!!!
People use water to cook, clean, and drink every day. An estimate of 17.2% of the water used each day is for drinking. If a family uses 68.8 gallons of water a day for drinking, how many gallons do they use every day?