Answer:
To the power 3 means cube.
Whenever you cube an even number it is a multiple of 8.
Whenever an exponent is used on 4, the number is always a square.
The value of the give exponent is 64.
Given that, the base is 4 and exponent is 3.
What is the exponent?Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.
With the base 4 and exponent 3, we have
4³
= 4×4×4
= 64
Therefore, the value of the give exponent is 64.
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PLEASE HELP!!!
I need help with this math homework
9514 1404 393
Answer:
x = 14√2y = 14z = 14√3Step-by-step explanation:
These are two "special triangles." The ratios of side lengths are numbers not difficult to remember. They can save a lot of work in problems like this.
Ratio of side lengths in 45°-45°-90° isosceles right triangle: 1 : 1 : √2.
Ratio of side lengths in 30°-60°-90° right triangle: 1 : √3 : 2.
__
The side marked x has the same length as the side marked 14√2.
x = 14√2
The unmarked hypotenuse of both triangles is √2 times the marked side length, so is (14√2)(√2) = 28.
The side marked y is half the length of the hypotenuse of that triangles so is ...
y = 28/2
y = 14
And the side marked z is √3 times the short side of the 30°-60°-90° triangle, so is ...
z = 14√3
_____
Alternate solution
The mnemonic SOH CAH TOA can help you remember trig relationships. Here, 14√2 is opposite the given 45° angle, and x is adjacent. The trig relation is ...
Tan = Opposite/Adjacent
tan(45°) = 14√2/x
x = 14√2/tan(45°) = 14√2
__
To find y or z, we need to know the length of the hypotenuse in the 45° triangle. The given side is opposite the angle, so we can use the sine relation:
Sin = Opposite/Hypotenuse
hypotenuse = 14√2/sin(45°) = 28
Now, we can find y and z:
sin(30°) = y/hypotenuse
y = (28)sin(30°) = 14
cos(30°) = z/hypotenuse
z = (28)cos(30°) = 14√3
There are only red counters and blue counters in a bag
in the bag
the number of red counters: the number of blue counters = 5.7
What fraction of the counters in the bag are red?
Answer:
[tex]Red\ Fraction = \frac{5}{12}[/tex]
Step-by-step explanation:
Given
[tex]Red:Blue = 5 : 7[/tex]
Required
Determine the fraction of red
To do this, we make use of:
[tex]Red\ Fraction = \frac{Red}{Red + Blue}[/tex]
This gives:
[tex]Red\ Fraction = \frac{5}{5+7}[/tex]
[tex]Red\ Fraction = \frac{5}{12}[/tex]
Jared bought a 15-pound bag of turkey for Thanksgiving. His family ate 6 ⅗ pounds of the food on the morning of Thanksgiving and 4 ⅘ for dinner. Jared decided to use ½ of the remaining turkey to make sandwiches for lunch. How much turkey, in pounds, did Jared use to make sandwiches?
Answer:
1 4/5 pounds
Step-by-step explanation:
15-6= 9
9-4=5
3/5+4/5=7/5 or 1 2/5
5-1=4
4-2/5=3 3/5
half of 3 is 1.5 or 1 5/10
3/5=6/10 half of 6/10 is 3/10
3/10+5/10= 8/10
simplify 1 8/10= 1 4/5
Jorge walked 21/3 miles. Samuel walked 1/4 of the distant that Jorge walked how far did Samuel walk
Help pre- algebra
:DD
Answer:
Calzones are $ 8 and an Empanada costs $12
Step-by-step explanation:
2x+3y=52
4x+3y=68
Multiply by -1
-2x-3y=-52
4x+3y=68
combine
2x=16
x=8
plug in 8
4(8)+3y=68
32+3y=68
3y=36
y=12
Step-by-step explanation:
step 1. 2c + 3e = 52, 4c + 3e = 68.
step 2. this is a system of equations. solve the system.
step 3. subtract the 1st equation from the 2nd.
step 4. 2c = 16, therefore c = 8.
step 5. 2(8) + 3e = 52. 3e = 36. e = 12.
step 6. calzones = 8, empanadas = 12.
44 is 11% of what number?
Answer:
400
Step-by-step explanation:
look it up. it says 400.
The required number is 400 for which 44 is 11%.
The percentage is a way to express a proportion or a fraction as a fraction of 100. It is commonly used to compare values or quantities relative to a whole or a total.
To calculate a percentage, you typically divide a part or a quantity by the whole or the total and then multiply the result by 100. The resulting value represents the percentage equivalent of the part or quantity.
It implies that a percentage value represents a certain number out of 100 parts.
Given that 44 is 11% of the number. The unknown number is calculated as,
x (11%) = 44
[tex]x \times \dfrac{11}{100} = 44\\x = \dfrac{44\times100}{11}\\x=400[/tex]
Therefore, the number is 400.
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How to work with this? If multiple it 12*4=48 which is not correctly.
Answer:
Step-by-step explanation:
You must have not input your units of cm^2
what percent of 40 is 120?
Answer:
300 %
Step-by-step explanation:
120 is 3 times 40, so in other words that’s 300 % of 40.
Generally, divide the part of interest (120) by total (40). In most common use case the total is larger than the part of interest unlike here.
Whats the answer? Please help
Answer:
Answer: y=3/2x+1
To find a line that is perpendicular, invert the slope and multiply by -1
so the original slope is -2/3,
invert it to get -3/2 then multiply by -1 to get 3/2
Put the given point (-2,-2) and the new slope into point intercept form: y+2=3/2(x+2)
Rewrite in standard form to get y=3/2x+1
Example 2: Identify the reference angle.
A)
135°
B)
260°
C)
310
Answer:
A) 45
B) 80
C) 50
Step-by-step explanation:
When the terminal side is in the first quadrant (angles from 0° to 90°), our reference angle is the same as our given angle. This makes sense, since all the angles in the first quadrant are less than 90°.
When the terminal side is in the second quadrant (angles from 90° to 180°), our reference angle is 180° minus our given angle.
When the terminal side is in the third quadrant (angles from 180° to 270°), our reference angle is our given angle minus 180°.
When the terminal side is in the fourth quadrant (angles from 270° to 360°), our reference angle is 360° minus our given angle.
What is the image of the point (-6,2) after a rotation of 180° counterclockwise
about the origin?
Answer:
(-2, 6)
Step-by-step explanation:
Trust me, I know
[tex]\frac{11}{4} =\frac{13}{4} k+\frac{1}{2} k[/tex]
Answer:
k = ¹¹⁄₁₅ Or 0.73333333333Explanation:
Find The Least Common Multiple Of 4 And 2: 4
Multiply By LCM (4)¹³⁄₄k · 4 + ½k = ¹¹⁄₄ · 4
Simplify
15k = 11
Divide Both Sides By 15
15k / 15 = 11 / 15
k = ¹¹⁄₁₅ Or 0.73333333333PLEASE ANSWER THIS QUESTION CORRECTLY AND ILL MARK BRAINLY
You forgot the image attached to the question. I will edit my answer after you edit the question
can someone help me ?!
Answer:
Gavin is incorrect. Divide 1/3 by 4, or multiply by 1/4. each friend gets 1/12 of the cake
Step-by-step explanation:
Pls help
Solve the equation —3x —12 = —39 for x, and show all steps.
Answer:
x=9
Step-by-step explanation:
-3x-12=-39 Add the like terms (if you add 12 to negative 12 it cancels out)
+12 +12
-3x=-27 Now divide
/-3 /-3
x=9
Sandy works at a clothing store. She makes $8 per hour plus earns 10% commission on her sales. She worked 76 hours over the last two weeks and had a total of $1,942 in sales before taxes.
Which of the following is closest to how much she will earn in hourly wages and commission for those two weeks? PLEASE HELP DUE AT 12!
per hour Sandy earns (together with commission):
8 + 0.15*8 = 1.15*8 = $9.2 per hour
for the 74 hours worked she will earn total of:
74*9.2 = $680.8
A $592 is the closest.
A large pizza costs $17.99. A second large pizza is 14 off. Using an estimate, approximately how much will it cost for 2 large pizzas?
Answer:
$22
Step-by-step explanation:
17.99 round up so 18
a second large pizza is 14 dollars off of the original price of 18 so 4
18+4 is 22
so 2 large pizzas would cost $22
A baker makes apple tarts and apple pies each day. Each tart, t, requires 1 apple, and peach pie, p, requires 8 apples. The baker receives a shipment of 184 apples every day. If the baker makes no more than 40 tarts per day, which system of inequalities can be used to find the possible number of pies and tarts the baker can make?
t ≤ 40
p ≤ 184
t ≤ 40
8p ≤ 184
t ≤ 40
p + 8t ≤ 184
t ≤ 40
8p + t ≤ 184
the answer is D is the answer
Answer:
i think 8p+tLess equal to 184
The inequality system may be used to determine the maximum number of pies and tarts the baker is capable of producing is t ≤ 40 and 8p + t ≤ 184.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We need to define variables initially in this situation. Thus, we have the number of tarts and the number of pies, which are p and t respectively.
Apples are needed for each tart, abbreviated t, and for each pie, abbreviated p.
It is given that every day, a supply of 184 apples is sent to the baker
8p + t ≤ 184
The baker only produces up to 40 tarts every day as a result
t ≤ 40
Thus, the inequality system may be used to determine the maximum number of pies and tarts the baker is capable of producing is t ≤ 40 and 8p + t ≤ 184.
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What is the volume of the cone below?
O A. 132pi units3
O B. 264pi units3
O C. 396pi units3
O D. 792pi units3
Answer:
B. 264π units³
Step-by-step explanation:
Volume of the cone = ⅓πr²h
Where,
r = 6
h = 22
Plug in the values
Volume = ⅓×π×6²×22
Volume = ⅓×π×36×22
Volume = 264π units³
Some equilateral triangles are not isosceles.
O A. True
O B. False
ANSWER
THE ANSWER IS FALSE
Step-by-step explanation:
false
Find the midpoint of the segment with the following endpoints
(9.9) and (1.-1)
Answer:
(5,4)
Step-by-step explanation:
To find midpoint you just find out how far apart the points are and divide it by half. For example our x values are 9 and 1. 9 and 1 are 8 points away. Half of 8 is four so 9-4 is 5. Remember midpoint is the MIDDLE.
1. Lily wants to buy 4 pounds of cereal for her camping trip. The boxes are each 18 ounces. According to the number line, how many boxes will she need to buy to have at least 4 pounds? 18 36 72 +++ 26 32 48 80
1: 2 boxes
2: 5 boxes
3: 3 boxes
4: 4 boxes
Answer: 4 boxes.
Step-by-step explanation:
We know that each box has 18 ounces of cereal.
We know that:
1 lb = 16 oz
Then:
1 = (1lb/16oz)
Then we can write:
18 oz = 18oz*(1lb/16oz) = (18/16) lb
This means that each box has (18/16) pounds of cereal.
Now, how many boxes we need to buy if we want to have at least 4 pounds of cereal?
If we buy N boxes, we will have N*(18/16) lb boxes of cereal.
Let's find N such that:
N*(18/16) lb = 4lb
N = 4*(16/18) = 3.56
But you can not have a 0.56 of a box, so we should round our number up to the next whole number, then we get:
N = 4.
She should buy 4 boxes.
Answer:
4
Step-by-step explanation:
Good Luck
8. What is the value of x?
82
(4x + 4)
(2x + 4)
Answer:
x = 12 and 1/3
Step-by-step explanation:
which of the following is a quadratic equation in one variable. a.7x^2-15=32x b.x^2+y+9=0 c.3x+2y=8. d. 5x -15=0
Answer:
a. 7x^2-15=32x
Step-by-step explanation:
a standard form quadratic equation is written as ax^2+bx+c=0
7x^2-15=32x can be rewritten into 7x^2-32x-15=0 by subtracting 32x on both sides.
options b and c don't work because they include another variable, y
option d is a linear equation, not a quadratic
Jonas is buying fencing to surround his garden. If his garden has a perimeter of 36 feet, and fencing costs
$10.00 a yard, how much money will he need for the fencing?
Answer:
Step-by-step explanation:
$120
The length of time, in hours, it takes a train to travel to city B varies inversely with the train’s speed. The train Carole is traveling on is moving at a speed of 70 miles per hour, and it takes her 4 hours to arrive. If the train Steve is traveling on is moving at a speed of 50 mph, how long will it take him to arrive at City B?
Answer:
Step-by-step explanation:
4 h × (70 mi)/h = 280 mi
280 mi × (1 h)/(50 mi) = 5.6 h
The time taken by him to arrive at City B will be 5.6 hours.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The time span, in hours, it takes a train to go to city B fluctuates contrarily with the train's speed.
V x T = Constant
The train Carole is going on is moving at a speed of 70 miles each hour, and it requires her 4 hours to show up. In the event that the train, Steve is going on, is moving at a speed of 50 mph.
Let 't' be the time. Then the equation is given as,
t x 50 = 4 x 70
50t = 280
t = 280 / 50
t = 28 / 5
t = 5.6 hours
The time taken by him to arrive at City B will be 5.6 hours.
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if 6 student share 1/2 pounds of modeling clay equally ,how much claydose each student get
Answer:
C. 1/12 poundStep-by-step explanation:
Divide 1/2 by 6 to find each student's share:
1/2:6 = 1/12 of a poundCorrect choice is C
oigan ayuda mmm...
cuánto es 100x800 gracias
xd️️
Answer:
La respuesta podría ser 80000 y en cualquier momento.
Mrs. Hanson has a potato salad recipe that calls for 2 3/8 pounds of potatoes, but she wants to make 1 1/2 times as much as the recipe calls for. The diagram represents the number of pounds of potatoes that Mrs. Hanson needs. How many pounds of potatoes does Mrs. Hanson need? Enter your answer as a mixed number in simplest form by filling in the boxes. Need an answer fast!!!
The pounds of potatoes that Mrs. Hanson needs is 3 9/16 pounds.
How many pounds of potatoes does Mrs. Hanson need?A mixed number is number that consists of a whole number and a proper fraction. A proper fraction is a fraction in which the numerator is less than the denominator. An example of a mixed number is 2 3/8.
In order to determine the pounds of potatoes that Mrs. Hanson needs, multiply 2 3/8 by 1 1/2. Multiplication is the mathematical process that is used to determine the product of two or more numbers. The sign that is used to represent multiplication is x.
Pounds of potatoes that Mrs Hanson needs = 2 3/8 x 1 1/2
Pounds of potatoes that Mrs Hanson needs = 19/8 x 3/2
Pounds of potatoes that Mrs Hanson needs = 57 / 16 = 3 9/16 pounds
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It has been estimated that a certain stream can support 85,000 fish if it is pollution-free. It has further been estimated that for each ton of pollutants in the stream, 1700 fewer fish can be supported. Assuming the relationship is linear, write the equation that gives the population of fish p in terms of the tons of pollutants x.
Answer:
[tex]p = 85000 - 1700x[/tex]
Step-by-step explanation:
Given
[tex]Initial\ Fish = 85000[/tex]
[tex]Rate = 1700[/tex]
Required
Determine the equation
For 1 ton, there is a reduction of 1700 fishes
This implies that:
For x tons, there will be a reduction of 1700x fishes
So, the function is:
[tex]p = Initial\ Fishes - Rate * x[/tex]
We used minus because the number of fishes reduced.
So, we have:
[tex]p = 85000 - 1700*x[/tex]
[tex]p = 85000 - 1700x[/tex]
Hence, the function is: [tex]p = 85000 - 1700x[/tex]