idk what to do help me pls
helppppppp with???????
Simplify the expression. Write your answer as a power.
8^10⋅8^4
8^14 is the answer.
This is because since they both have the same base, the exponents could be added together if the numbers are multiplied together
Hello Tim!
[tex]8^1^0*8^4[/tex]
First you had to used apply exponent rule.
[tex]8^1^0*8^4=8^1^0^+^4=8^1^4[/tex]
[tex]=8^1^4[/tex]
Answer⇒⇒⇒8¹⁴
Hope this helps!
Thank you for posting your question at here on Brainly.
-Charlie
20x^2-30=4x solve for x
Answer:
x=1.3288 or -1.1288
Step-by-step explanation:
Given [tex]20x^{2}-30=4x[/tex]
Subtract 4x from both sides
[tex]20x^{2}-4x-30=0[/tex]
Since we can factor out 2 from whole equation, let's factor out 2.
[tex]2(10x^{2}-2x-15)=0[/tex]
Divide with 2 on both sides
[tex]10x^{2}-2x-15=0[/tex]
We got the quadratic equation, we can solve for x using quadratic formula.
[tex]x=\frac{-b\pm\sqrt{b^{2}-4ac} } {2a}[/tex]
[tex]x=\frac{2\pm\sqrt{2^{2}-4X10X(-15)} } {2X10}[/tex]
[tex]x=\frac{2\pm\sqrt{604} }{20}[/tex]
[tex]x=\frac{2\pm2\sqrt{151}}{20}[/tex]
[tex]x=1.3288or-1.1288[/tex]
The temperature on a summer afternoon is 85°F. Define a variable and write an expression to find the temperature after it changes. Then evaluate your expression for a decrease of 11 degrees Fahrenheit.
11 – c; 11 – (–85) = 74; 74°F
85 – c; 85 – (–11) = 96; 96°F
85 + c; 85 + (–11) = 74; 74°F
11 + c; 11 + (–85) = 96; 96°F
B.) Any temperature change is the original temperature plus the numerical value of the change. (temp + change) If it is an increase, the number will be positive. If it is a decrease, the number will be negative.
Since there is a decrease of 11, c would be replaced with -11. When you plug this into your expression (85 + c: 85 + -11), the answer to this would be 74.
hope it helps
Final answer:
Explaining how to define a variable, write an expression, and evaluate the temperature after a decrease in Fahrenheit degrees.
Explanation:
Variable: Let c represent the temperature change.
Expression: To find the new temperature after a decrease of 11°F, the expression is 85 - c.
Evaluation: By substituting c with -11 (decrease of 11°F), 85 - (-11) equals 96°F.
what is -x+y=6 in funtion form
help me with THIS HOME WORK
Little Melinda has nickels and quarters in her bank. She has two
fewer nickels than quarters. She has $3.50
in the bank. How many coins of each type does she have?
How many quarters does she have?
A) N +2 = Q which equals
A) N -Q = -2
B) .05N +.25Q = 3.50 multiplying A) by .25
A) .25N -.25Q = -.5 then adding A) and B)
.30N = 3
Nickels = 10 Quarters = 12
*************DOUBLE CHECK ***************
.05 nickels = $0.50 .25 Quarters = $3.00
Melinda has 12 quarters and 10 nickels in her bank, totaling $3.50. By setting up and solving equations based on the values of the coins, we were able to determine the exact number of each type of coin.
Explanation:Little Melinda has nickels and quarters in her bank, with two fewer nickels than quarters. The total amount of money she has is $3.50. To determine how many coins of each type she has, we need to set up equations based on the values of the coins and the given conditions.
Let's define:
Q = number of quarters
N = number of nickels
Since each quarter is worth 25 cents and each nickel is worth 5 cents, we have the following equations:
1. N = Q - 2 (since she has two fewer nickels than quarters)
2. (5 × N) + (25 × Q) = 350 cents (because the total amount is $3.50)
Substitute the first equation into the second to find the number of each coin:
5(Q - 2) + 25Q = 350
5Q - 10 + 25Q = 350
30Q - 10 = 350
30Q = 360
Q = 12
Then, substitute Q = 12 into the first equation to find N:
N = 12 - 2
N = 10
Therefore, Melinda has 12 quarters and 10 nickels.
Solve for a: 3a+4bc-d=5a-8j
3a + 4bc - d = 5a - 8j
Add d to both sides.
3a + 4bc = 5a - 8j + d
Subtract 4bc from each side.
3a = 5a - 8j + d - 4bc
Subtract 5a from both sides.
-2a = -8j + d - 4bc
Divide both sides by -2
a = [tex]\frac{(-8j -4bc + d)}{-2}[/tex]
A=2bc+-1/2d+4j would be your answer
Jakes batting average for softball season is 0.368 what is Jake’s batting average written in expanded form
Here you go the answers below
What is the area of the polygon given below?
Look at picture
The answer is B. 525 square units.
The polygon pictured is a composite figure made up of several rectangles. To find the total area, we can find the area of each of the rectangles and sum them together.
From the image we can find the following areas:
Top left rectangle: 9 square units
Top right rectangle: 14 x 3 = 42 square units
Bottom left rectangle: 7 x 14 = 98 square units
Bottom right rectangle: 27 square units
Summing the areas of each rectangle together gives us a total area of 9 + 42 + 98 + 27 = 176 square units.
However the prompt specifies that this is not the total area. There is a small square removed from the bottom left rectangle. We can find the area of this square by subtracting the length of the small rectangle’s missing side (3 units) from the length of the whole rectangle’s side (14 units) and squaring the result. Subtracting 3 from 14 gives us 11 and squaring 11 gives us 121.
So the final area of the polygon is 176 - 121 = 55 square units.
Of the answer choices provided, only 55 square units matches our calculation. So the answer is B. 525 square units.
does anybody know the answer?
which of the following represents this function written in standard form? y=3(x-1)(x+6)
Answer:
y = 3x^2+15x-18
Step-by-step explanation:
Parabola has an equation with one variable in degree 2 and other in degree 1.
Given that y=3(x-1)(x+6) is the function.
y is of degree 1 and x of degree 2
Standard form of these types of parabolas would be
y =ax^2+bx+c.
To make the given equation in standard form, we multiply all factors on the right side
y = 3(x-1)(x+6) = 3(x^2+5x-6)
= 3x^2+15x-18
a=3 b = 15 and c =-18
y = 3x^2+15x-18 is the standard form of the parabola
Answer:
y = 3x^2 + 15x - 18
Step-by-step explanation:
To represent the function y = 3 (x - 1) (x + 6), start by by expanding the equation by multiplying the common factor with each term inside the brackets to get:
y = 3 (x - 1) (x + 6)
y = (3x - 3) (x + 6)
Now multiply both the terms with each other to get:
y = 3x^2 + 18x - 3x - 18
Arrange the like terms together and add them:
y = 3x^2 + 15x - 18
Hence, y = 3x^2 + 15x - 18 is the standard form of the given function.
If 2 3 of the 12 jelly beans were eaten, how many were eaten?
2/3 x 12 = 8
8 jelly beans were eaten
You would have to multiply 2/3 and 12 to find out how many jelly beans were eaten. 2/3*12=8
At a summertime poolside snack bar, 200 ice cream scoops were sold in one day. Double scoops were sold for $1.25 each and single scoops were sold for $1 each. If the proceeds from the sale of the cones were $221.75, how many of each kinds of cone were sold? In all, how many scoops of ice cream were sold?
Answer:
a) 87 double scoops and 113 single scoops.
b) 287 scoops of ice cream.
Step-by-step explanation:
1. You need to make a system of equations, where double scoops are represented by [tex]x[/tex] and the single scoops are represented by [tex]y[/tex]:
[tex]\left \{ {{x+y=200} \atop {1.25x+y=221.75}} \right.[/tex]
2. You can apply the Elimination Method:
- Multiply the first equation by -1 to cancel the variable [tex]y[/tex] from the system. Add both equations:
[tex]0.25x=21.75[/tex]
- Solve for [tex]x[/tex]:
[tex]x=\frac{21.75}{0.25}\\x=87[/tex]
- Substitute the value of [tex]x[/tex] into one of the original equations and solve for [tex]y[/tex]:
[tex]87+y=200\\y=113[/tex]
3. You can calculate the total number of scoops of ice cream that where sold as below:
[tex]2x+y[/tex]
4. Substitute values:
[tex]2(87)+113=287[/tex] scoops of ice cream
Answer: The number of single scoop cones sold is 113, number of double scoop cones is 87 and the total number of cones sold is 287.
Step-by-step explanation: Given that at a a summertime poolside snack bar, 200 ice cream scoops were sold in one day.
Double scoops were sold for $1.25 each and single scoops were sold for $1 each. The proceeds from the sale of the cones were $221.75.
We are to find the number of single scoop cones, double scoop cones and the number of scoops of ice cream that sold.
We Let x and y represents the number of cones of single scoop and double scoop ice cream that sold.
Then, according to the given information, we have
[tex]x+y=200\\\\\Rightarrow x=200-2y~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
and
[tex]1\times x+1.25y=221.75\\\\\Rightarrow x=221.75-1.25y~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
Comparing equations (i) and (ii), we get
[tex]200-y=221.75-1.25y\\\\\Rightarrow 1.25y-y=221.75-200\\\\\Rightarrow 0.25y=21.75\\\\\Rightarrow y=\dfrac{21.75}{0.25}\\\\\Rightarrow y=87.[/tex]
From equation (i), we get
[tex]x=200-87=113.[/tex]
Therefore, total number of scoops that were sold is
[tex]113+2\times87=113+174=287.[/tex]
Thus, the number of single scoop cones sold is 113, number of double scoop cones is 87 and the total number of cones sold is 287.
Answe and work to both!!!!!
Answer:
1. The fixed costs is $40 and the cost per mile is [tex]\$\frac{3}{2}[/tex].
2.Therefore, the coffees did they sell is, 85 coffees
Step-by-step explanation:
1. To find the fixed cost and Cost per mile.
Since, a shipping company charges a fixed amount for their services and a certain amount per mile , they must travel.
Let the number of fixed amount be x and the certain amount per mile be y
then, the general linear equation for this we have:
[tex]x+y=C[/tex] where C is the charges cost by the shipping company.
It is given that for a 50 mile trip company costs $115 and an 80 mile trip costs $157.
we have an equation in linear form from the above data:
[tex]x+50y=\$115[/tex] .....(1)
[tex]x+80y=\$157[/tex] ....(2)
Now, solving these equation simultaneously we get,
[tex]y=\frac{3}{2}[/tex]
Substitute the value of y in equation (1),
[tex]x+50\times\frac{3}{2}=\$115[/tex]
[tex]x+75=\$ 115[/tex]
⇒[tex]x=\$40[/tex]
Therefore, the fixed costs is $40 and the cost per mile is [tex]\$\frac{3}{2}[/tex].
2.
Let the hot chocolate sells be x and that of coffee be y.
At one game they sold, $200 worth of drinks and used 295 cups. if hot chocolate sells for $0.75 and coffee sell for $0.50.
An equation from the given condition are given by:
[tex]x+y=295[/tex]
[tex]0.75x+0.50y=200[/tex]
Solving these equation simultaneously we get the value of y=85
Therefore, the coffees did they sell is, 85 coffees
Tony and his three friends live in Albuquerque, New Mexico, but they all attend college in Boston, Massachusetts. Because they want to have a car at school this year, they are planning to drive Tony's car from Albuquerque to Boston at the beginning of the school year. Although they'll each pay for their own food during the road trip, the friends plan to split the costs for gas and hotels evenly between the four of them.
Estimate the total cost that each friend will have to pay for gas and hotels. Explain how you got your answer. Here are some figures that may help you out:
•Tony's car can travel 28 miles for each gallon of gas.
•The average fuel cost at the time of their trip is $3 per gallon.
•They plan to drive about 650 miles each day.
•They estimate the average cost of a hotel each night is $85.
•They will drive approximately 2,240 miles to get from Albuquerque to Boston.
Willing to give TONS OF POINTS for this answer, remember explain how you got it.
Hello...
Tony and his three friends live in Albuquerque, New Mexico, but they all attend college in Boston, Massachusetts. Because they want to have a car at school this year, they are planning to drive Tony's car from Albuquerque to Boston at the beginning of the school year. Although they'll each pay for their own food during the road trip, the friends plan to split the costs for gas and hotels evenly between the four of them.
Estimate the total cost that each friend will have to pay for gas and hotels. Explain how you got your answer. Here are some figures that may help you out:
•Tony's car can travel 28 miles for each gallon of gas.
•The average fuel cost at the time of their trip is $3 per gallon.
•They plan to drive about 650 miles each day.
•They estimate the average cost of a hotel each night is $85.
•They will drive approximately 2,240 miles to get from Albuquerque to Boston.
Solution:
Cost of Gas:
2240 / 28 x 3 = $240
Cost of Lodging:
85 x floor2240 / 650 = $255
Cost of both: $240 +255 = $495.
The cost for a 1/4 share is $495/4 = $123.75.
3s+6 less than or equal to -5(s+2)
3s+6 <= -5(s+2)
3s+6 <= -5s - 10
8s + 6 <= -10
8s <= -16
s <= -2
identify the initial amount,a,and the growth factor,b,in each exponential function.Break b into (1+r)where r is the rate of growth. Give r as a percentage. y=1.05(1.46)^x
Given function : [tex]y=1.05(1.46)^x[/tex]
We need to identify a " initial amount", b "growth factor", r " rate of growth".
We know, exponential growth formula
[tex]y=a(b)^x[/tex], where a is initial amount, b is growth factor. On comparing with given function let us find values of a and b.
[tex]y=1.05(1.46)^x[/tex] ⇔ [tex]y=a(b)^x[/tex].
We can see a= 1.05 and b = 1.46.
Now, b=1+r.
Therefore, 1+r =1.46.
Subtracting 1 from both sides, we get
1+r-1 =1.46-1
r = 0.46.
On converting 0.46 into percentage, we get
0.46 × 100 = 46.
Therefore, intial amount a = a= 1.05 , growth factor b = 1.46, and the rate of growth r= 46%.
Final answer:
The initial amount, a, is 1.05, and the growth factor, b, is 1.46 in the exponential function y=1.05(1.46)ˣ. The growth rate, r, when expressed as (1+r), is 46%.
Explanation:
To identify the initial amount a and the growth factor b in the exponential function y=1.05(1.46)ˣ, we look at the standard form of an exponential function, which is y=a×bˣ. Comparing this with the given function, we can see that the initial amount a is 1.05 and the growth factor b is 1.46.
To express the growth factor in the form of (1+r), where r is the rate of growth, we can set b = 1 + r. This means that r would be b - 1, which is 1.46 - 1 = 0.46. To express r as a percentage, we multiply by 100, resulting in a growth rate of 46%.
What is 15-5(4x-7)=50
Simplifying
15 + -5(4x + -7) = 50
Reorder the terms:
15 + -5(-7 + 4x) = 50
15 + (-7 * -5 + 4x * -5) = 50
15 + (35 + -20x) = 50
Combine like terms: 15 + 35 = 50
50 + -20x = 50
Add '-50' to each side of the equation.
50 + -50 + -20x = 50 + -50
Combine like terms: 50 + -50 = 0
0 + -20x = 50 + -50
-20x = 50 + -50
Combine like terms: 50 + -50 = 0
-20x = 0
Solving
-20x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '-20'.
x = 0.0
Simplifying
x = 0.0
5 consecutive integers whose sum is -155
Answer:
-29, -30, -31, -32, -33
Step-by-step explanation:
add them together
Simplify: 6x - 3y + 5y - 10x
Answer: -4x + 2y
Step-by-step explanation:
6x - 3y + 5y - 10 x
Group like terms:
= 6x - 10x - 3y + 5y
Add similar elements :
6x - 10 x = - 4x
- 3y + 5y = +2y
Therefore:
-4x + 2y
Hope that helps!
The simplified form of the equation [tex]6x-3y+5y-10x[/tex] is [tex]\boxed{2y-4x}[/tex].
Further explanation:
A binomial is an algebraic expression which consists of two terms having operations of addition and subtraction.
Procedure:
The following steps are involved to simplify the algebraic expression.
1) First we collect the like terms from the given algebraic expression.
2) Second we add or subtract the like terms in the algebraic expression.
Given:
The algebraic expression is [tex]6x-3y+5y-10x[/tex].
Calculation:
Step 1:
First we collect the like terms from the given algebraic expression.
The given algebraic expression consists two variables [tex]x[/tex] and [tex]y[/tex].
Clearly, we can see that the given algebraic expression is in the form of binomial.
So, collect the terms of [tex]x[/tex] aside and the [tex]y[/tex] term on other side as follows:
[tex]\boxed{(6x-10x)+(5y-3y)}[/tex]
Step 2:
Now, add the given algebraic expression to simplify it.
[tex]\boxed{(6x-10x)+(5y-3y)=-4x+2y}[/tex]
The above algebraic expression can be written as,
[tex]\boxed{2y-4x}[/tex]
The simplified form of the algebraic expression [tex]6x-3y+5y-10x[/tex] is [tex]\boxed{2y-4x}[/tex].
Thus, the simplified form of the algebraic expression [tex]6x-3y+5y-10x[/tex] is [tex]\boxed{2y-4x}[/tex].
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Answer details:
Grade: Junior school
Subject: Mathematics
Chapter: Simplification
Keywords: Addition, subtraction, operation, terms, like terms, unlike terms, variables, binomial, monomial, simplification, collecting the terms, coefficient, constant, value, algebraic expressions.
Can someone help me with these problems
2) angles are vertical so they are congruent- 7x-27= 4x+12 --> subtract 4x from both sides so 3x-27=12 --> add 12 to both sides so 3x=39 (divide both sides by 3) so then x= 13
3) again, vertical angles so 8x-120= 4x+16 --> subtract 4x so that 4x-120=16 --> add 120 to both sides and then 4x=136, divide both by 4 and x= 34
hope this helps:))
Which point is on the graph of f(x)=3x5^x?
By substituting x=1 into the function f(x)=3x5^x, we find that the point (1,15) is on the graph.
To find a point that lies on this graph, we can select a value for x, substitute it into the function, and calculate the corresponding y value. Let's try x=1:
f(1) = 3(1)51 = 3(5) = 15.
Therefore, the point (1,15) is on the graph of f(x)=3x5^x.
The cube of the product of 3 and a number.
The cube of the product of 3 and a number is expressed as (3x)³ or 27x³, which involves cubing the numeric part and multiplying the exponent of the variable by 3.
The question is asking about the volume of a cube with sides of length a and also about the process of cubing the product of a number and three. When we cube a product, such as 3 times an unknown number, we are calculating the result of multiplying that product by itself three times.
For example, if our number is x, we would express this as (3x)³ or 27x³. This is because when we cube a product, we cube the numeric part as usual, obtaining 3³ which is 27, and we multiply the exponent of the exponential term by 3, thus x becomes x³.
an industrial machine was able to make 9 pens in 3 seconds what is the rate made per second
3 pens per 1 seconds it is so easy
Please help me with this and thank you so much!
1 place to the right of a decimal point is the tenths, so you would multiply 7 by 1/10.
2 places to the right of the decimal point is the hundredths place, so you would multiply 23 by 1/100
The correct answer is D.
find the value of X
A x= 18
B x=22.5
C x=30
D x=54
First the two angles are equal to one another so take note of that.
Now setup the equation which will be
x+90=4x
Now get rid of alike terms
So subtract x from both sides
90=3x
Now divide 90 by 3
x=30
Answer: The correct option is
(C) x = 30.
Step-by-step explanation: We are given to find the value of x from the figure shown.
From the figure, we note that the angles with measures (x+90)° and 4x° are vertically opposite angles.
Since the measures of two vertically opposite angles are equal, so we must have
[tex](x+90)^\circ=4x^\circ\\\\\Rightarrow x+90=4x\\\\\Rightarrow 4x-x=90\\\\\Rightarrow 3x=90\\\\\Rightarrow x=\dfrac{90}{3}\\\\\Rightarrow x=30.[/tex]
Thus, the required value of x is 30.
Option (C) is CORRECT.
For each pair of polygons, describe the transformation that could be applied to Polygon A to get Polygon B
These are the polygons
The transformation of Polygon A to Polygon B could involve translation, rotation, or reflection. Observe differences in position and orientation between the two polygons to identify the type of transformation.
Explanation:The transformation of a polygon to another can involve a series of moves such as translation (sliding), rotation (turning around a point), or reflection (flipping over a line). By closely comparing the two polyhgons A and B, you can determine which type of transformation has taken place.
For instance, if every point on polygon A has moved in the same direction and distance to form polygon B, a translation has taken place. If polygon B can be obtained by turning polygon A around a point, then a rotation has occurred. If polygon B is a mirror image of polygon A, then it has been reflected.
Learn more about Polygon Transformation here:https://brainly.com/question/33164378
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4²+7²+...+(3n+1)²=S, what is S?
[tex]\displaystyle\\4^2+7^2+\ldots+(3n+1)^2=\\\\\sum_{k=1}^n(3k+1)^2=\\\\\sum_{k=1}^n(9k^2+6k+1)=\\\\\sum_{k=1}^n9k^2+\sum_{k=1}^n 6k+\sum_{k=1}^n1=\\\\9\sum_{k=1}^nk^2+6\sum_{k=1}^n k+n=\\\\9\left(\dfrac{n(n+1)(2n+1)}{6}\right)+6\left(\dfrac{n(n+1)}{2}\right)+n=\\\\\dfrac{3n(n+1)(2n+1)}{2}+3n(n+1)+n=\\\\\dfrac{3n(2n^2+n+2n+1)}{2}+3n^2+3n+n=\\\\\dfrac{3n(2n^2+3n+1)}{2}+3n^2+4n=\\\\\dfrac{6n^3+9n^2+3n}{2}+\dfrac{6n^2+8n}{2}=\\\\\dfrac{6n^3+15n^2+11n}{2}[/tex]
What is the distance between...
what do you mean ¨ what is the distance between¨ what is the rest of the question?