a) 3y = 43 + x
b) 8y + 5x = 61
Answer:
huh
Step-by-step explanation:
What 2 operations are needed to solve 2x -4 =16
Write using exponential notation.
4•7•7•7•7
Answer:
4•(7^4)
Step-by-step explanation:
You would first do 7^4, and get 2401.
You would then multiply 2401 by 4, and get 9604.
Hope this helps! Added steps to solve it just in case :)
Answer:
[tex]4*7^{4}[/tex]
Step-by-step explanation:
The Exponential Notation is:
"A method of simplifying the writing and handling of very large or very small numbers."
The word "Exponential" comes from the word "Exponent"
So we have 1 four and 4 sevens and they are all being multiplied by each other.
Our operation: Multiplication
Our first number in the equation: 4
Our second number in the equation: 7 to the fourth power or [tex]7^{4}[/tex]
Our final answer: [tex]4*7^{4}[/tex]
I hope this helps!
Have a great day! :)
What is the probability of a customer buying a carrot at this store?
A 10%
B 19%
C 21%
D 27.5%
Answer: Its A
Step-by-step explanation:
If a fair die is rolled 6 times, what is the probability, to the nearest thousandth, of
getting exactly 5 ones?
Answer: 0.000
Step-by-step explanation:
Find the lateral area of the solid figure.
24√3
8√3
12√3
Answer:
Option C. 12√3
Step-by-step explanation:
Lateral area of the solid figure will be = 3×(one lateral side )
Area of a lateral side of the given triangle = (1/2) × (height) × (Base)
Height of an isosceles triangle with a side 4 will be = √(4² - 2²) = √(16-4)= √12 = 2√3
Now area of one lateral side = (1/2)×(2√3)×(4) = 4√3
Therefore lateral area of the solid figure = 3×(4√3) = 12√3
Which of the following is a number that, when added to 5 , gives a result less than 13
The number that is given in the statement of this question is x<8.
Algebraic ExpressionAlgebraic expression is a mathematical sentence involving several numbers and letters. These letters are called variables or unknowns, and can be part of equations.
To solve this expression, we will set up the equation as follows, according to the statement.
*a number: x*added to 5: +5*result less than 13: < 13x + 5 < 13
x < 13 - 5
x < 8
Therefore, the unknown number in this equation will be x < 8.
Find f(x) -g(x)
F(x)=-8x^3+1
g(x)=2x^3+6x+7
Answer: -10x³ - 6x - 6
Step-by-step explanation:
f(x) -g(x) means we will subtract g(x) from f(x)
Given:
(-8x³ + 1) - (2x³ + 6x + 7)
Distribute the negative:
-8x³ + 1 - 2x³ - 6x - 7
Combine like terms, simplify:
-10x³ - 6x - 6
f(x) -g(x) is -10x³ - 6x - 6
Answer:
[tex]-10x^{3} -6x-6[/tex]
Step-by-step explanation:
The question is asking us to find f(x) - g(x). In the question it also gives the values of each as:
f(x) = [tex]-8x^{3} +1[/tex]
g(x) = [tex]2x^{3} +6x+7[/tex]
To find the answer, plug both of these values into f(x) - g(x):
([tex]-8x^{3} +1[/tex])-([tex]2x^{3} +6x+7[/tex]) Lets distribute the negative to [tex]2x^{3} +6x+7[/tex].
[tex]-8x^{3} +1[/tex] - [tex]2x^{3}-6x-7[/tex] Combine like terms
[tex]-10x^{3} -6x-6[/tex]
Therefore, the final answer for f(x) - g(x) is equal to [tex]-10x^{3} -6x-6[/tex].
I hope this helps! If you have any questions about my work please put them in the comments below!
24. Evaluate f(x) =
5x+25\
2x^2-50
when x = -5.
1
- 1 / 2
undefined
0
Answer:
undefined
Step-by-step explanation:
1. Input x = -5 in function f(x):
[tex]5(-5) + 25 / 2(-5)^{2} - 50[/tex]
[tex]-25+25 / 50 - 50[/tex]
[tex]0/0[/tex]
2. Determine the domain
[tex]0/0[/tex]
undefined
[tex]\Large\textsf{\textbf{Answer\::}}[/tex]
undefined
[tex]\Large\textsf{\textbf{Calculations\::}}[/tex]
Plug in the value of x (-5) and simplify as follows :
[tex]\displaystyle\frac{5(-5)+25}{2(-5)^2-50}[/tex]
[tex]\displaystyle\frac{-25+25}{2(25)-50}[/tex]
[tex]\displaystyle\frac{0}{50-50}[/tex]
[tex]\displaystyle\frac{0}{0}[/tex]
We know that we can't divide by zero. Dividing by zero results in infinity , which is not a number .
So the expression is :
[tex]\textsf{\textbf{und.efined}}[/tex]
[tex]\small\text{hope\:helpful~}[/tex]
Which of the triangles shown are right triangles?
A group of triangles. Triangle A has two acute angles and one ninety degree angle. Triangle b has three equal angles. Triangle C has two acute angles and one obtuse angle. Triangle d has two acute angles and one ninety degree angle.
Group of answer choices
Triangle A and Triangle D
The right angle triangles are:
Triangle A has two acute angles and one ninety degree angle
Triangle d has two acute angles and one ninety degree angle.
What are right triangles?A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. A right angled triangle is a triangle in which one of its angles measure 90 degrees.
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Find the greatest common factor of 32 and 39
Answer:
1
Step-by-step explanation:
We will first find the prime factorization of 32 and 39. After we will calculate the factors of 32 and 39 and find the biggest common factor number .
32=2^5
39=3^1*13^1
-
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16
List of positive integer factors of 39 that divides 32 without a remainder.
1,3,13
We found the factors and prime factorization of 32 and 39. The biggest common factor number is the GCF number.
So the greatest common factor 32 and 39 is 1.
Graph the line with slope 1/2
passing through the point (-4,1).
Answer:
from (-4,1) the line will go up to (-2,2) then (0,3)
Step-by-step explanation:
the slope 1/2 dictates that the line will go up by 1 unit for every 2 units, then we just plot said line from the point given (-4,1) where we go up y by 1 and we go left on x by 2
image could not be provided at this time, tho the line will have a slope that is between horizontal and increasing (to the left) at roughly 30 degrees ish
Elizabeth did a 1 hour workout 3 days a week for 5 months. How many total hours did Elizabeth workout?
Answer:
60 hours total
Step-by-step explanation:
1 hr x 3 days per week= 3 hrs a week
3 hrs x 4 weeks in a month =12 hrs a month
12 hrs ea month x 5 months = 60 hrs total
Seis menos el producto de cuatro y un numero x
La expresión matemática que representa la frase está dada por:
4x - 6.
¿Cuál es la expresión matemática que representa la frase?Vamos a resolverlo por partes:
El producto de cuatro y un numero x es dado por: 4x.Seis menos el producto es dado por: 4x - 6.Por lo tanto, la expresión es dada por:
4x - 6.
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If (x+3) is the factor of x3-6x2-11x+k then k is
[tex]f(x) = x^3 -6x^2 -11x +k \\\\\text{If (x +3) is a factor of f(x), then,}~ f(-3) = 0\\\\~~~~~~~f(-3) = 0\\\\\implies(-3)^3-6(-3)^2 -11(-3) +k = 0\\ \\\implies -27-54+33 +k=0\\\\\implies -48+k = 0\\\\\implies k = 48[/tex]
Find volume of a sphere with radius of 5
Answer:
532.33 [tex]units^3[/tex]
Step-by-step explanation:
Formula:
r* 4/3 * 3.14
Plug in radius:
[tex]5^3 * \frac{4}{3} * 3.14[/tex] = 523.33
Answer:
523.33 in^3
Step-by-step explanation:
5^3 * 3.14 * 4/3
125 * 3.14 * 4/3
392.5 * 4/3
523.33
Jim 3 bought 3 hamburgers and 4 orders of french fries for $10.77 before taxes.
Chris went to the same restaurant and bought 4 hamburgers and 2 french fries for
$10.86 before taxes. What is the cost of one hamburger?
Answer:
The cost of one hamburger is $2.19.
Step-by-step explanation:
Let h = cost of a hamburger
f = cost of a french fries
3h + 4f = 10.77-------->3h + 4f = 10.77
4h + 2f = 10.86------->8h + 4f = 21.72
---------------------
5h = 10.95
h = 2.19, f = 1.05
Identify the property of (-12)+12=0
Answer:
the anser is 0
this is an additive inverse property.
Step-by-step explanation:
What is the value of 5x+3 when x=4?
A. 9
B. 12
C. 23
D. 60
Answer:
C. 23
Step-by-step explanation:
We substitue 4 for x then rewrite the expression as is
[tex]5(4)+3[/tex]
Then we solve [tex]5*4=20\\[/tex] [tex]20+3=23[/tex]
Which points are on the graph of f(x)=2^x-3 Select each correct answer.(3, 1) (0, 1) (1, 3) (6, 8)
We can determine whether or not a point falls on the graph of a function by plugging its coordinates into the function equation.
If the right side is equal to the left side, the the equation is true, and the point does fall on the graph.
Solving the QuestionWe're given:
[tex]f(x)=2^x-3[/tex]Answer choices: (3, 1) (0, 1) (1, 3) (6, 8)(3, 1)[tex]f(x)=2^x-3[/tex]
⇒ Plug in the coordinates:
[tex]1=2^3-3\\1=8-3\\1\neq5[/tex]
(3,1) is not on the graph.
(0,1)[tex]f(x)=2^x-3[/tex]
⇒ Plug in the coordinates:
[tex]1=2^(0)-3\\1=1-3\\1\neq-2[/tex]
(0,1) is not on the graph.
(1,3)[tex]f(x)=2^x-3[/tex]
⇒ Plug in the coordinates:
[tex]3=2^(1)-3\\3=2-3\\3\neq-1[/tex]
(1,3) is not on the graph.
(6,8)[tex]f(x)=2^x-3[/tex]
⇒ Plug in the coordinates:
[tex]8=2^(6)-3\\8=64-3\\8\neq61[/tex]
(6,8) is not on the graph.
AnswerNone of the points are on the graph of the given function.
(5xy^2) (4x^8y^5)= what does it equal
Answer:
20x^9y^7.
Step-by-step explanation:
(5xy^2) (4x^8y^5)
= 5*4 x*x*8 y^2 *y^5
= 20x^9y^7.
original equation:
[tex](5xy^2)(4x^8y^5)[/tex]
when multiplying exponents, simply add the exponents of like bases.
[tex](5)(4)=20\\\\(x)(x^8)=x^9\\\\(y^2)(y^5)=y^7[/tex]
final answer
[tex](5xy^2)(4x^8y^5)=20x^9y^7[/tex]
Solve 7x-5=5x-4
Show Clear algebraic working
A lock has a two digit numeric code, with the numbers 1 through 6 available for each digit of the code. Note that numbers can be repeated in the code, so there are 6 possibilities for each of the two digits. Find the total number of possible codes for the lock.
A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the coins, 16% are pennies and 34% are dimes. There are 2 more nickels than pennies. How much money does the bag contain?
The temperature in a town is 35.2°F during the day and -24.5°F at night. Find the difference in the temperatures
Answer:
[tex]\huge\boxed{\bf\:59.7^{\circ}\:F}[/tex]
Step-by-step explanation:
Temperature during the day = [tex]35.2^{\circ}F[/tex]
Temperature at night = [tex]-24.5^{\circ}F[/tex]
Difference in the temperatures
= Temperature during the day - Temperature at night
= [tex]35.2^{\circ}F - (- 24.5^{\circ}F)\\= 35.2^{\circ}F + 24.5^{\circ}F\\=\boxed{\bf\:59.7^{\circ}F}[/tex]
Difference in the temperatures = 59.7° F
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A cone has volume 3 pi, If the cone's radius in r, then what is the height?
Answer:
The formula for volume of a cone is area of a circle times height, divided by 3.
Therefore volume is pi times radius squared times height, divided by 3.
V = (3.14)(14)^2 (14)/3
V = (3.14) (196)(14)/3
V = (3.14) (2744)/3
V = 8616.16/3
V = 2872.05333
to the nearest hundredth is 2872.05 cubic yards.
Step-by-step explanation:
25 + 14 ÷ ( 5 - 3 )
its urgent please
Answer:
Step-by-step explanation:
25 + 14 / (5-3)
25 + 14 / 2
25 + 7
32
What is the volume ?
Answer:
V≈523.6
Step-by-step explanation:
Volume is V=4/3*pi*r^3 and radius is half of diameter
Answer:
523.67km^3
Step-by-step explanation:
[tex]volume \: of \: a \: sphere = \frac{4}{3} \: \pi \: r {}^{3} \\ radiu \: r = \frac{10}{2} = 5km \\ volume = \frac{4}{3} \times 3.142 \times 5 {}^{3} \\ volume = \frac{1571}{3} = 523.67km {}^{3} [/tex]
How Much Time Does It Take From 7:25 To 3:15
Answer:
7 hours 50 minutes and
Step-by-step explanation:
7.833 hours 470 minutes 28,200 seconds
You want to exchange £750 for euros. These are the currency exchange rates from 3 different sources. Company Exchange rate Travel Exchange 1.1065 Phoenix Financial 1.1050 Money Matters 1.1075 Which gives you the best value for money?
Money Matters is the best value for money for £750 they are giving 806.25 euros.
What is Money exchange?Customers can exchange one currency for another at a currency exchange, which is a licensed business.
The three agents are giving the money at different rates:-
Travel Exchange = 750 x 1.1065 = 798.75 Euros
Phoenix Financial = 1.1050 x 750 = 787.5 Euros
Money Matters = 1.1075 x 750 = 806.25 Euros
We can see that Money Matters is giving the best value for money.
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