Answer:
k = 3 + 6x
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]
[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]
Given
27 × [tex]9^{3x}[/tex]
= 3³ × [tex](3^{2}) ^{3x}[/tex]
= 3³ × [tex]3^{6x}[/tex]
= [tex]3^{3+6x}[/tex]
= [tex]3^{k}[/tex] → with k = 3 + 6x
Can someone please tell me how to solve this??
4x^2+35x+24=0
Answer:
Step-by-step explanation:
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
Model 3+ (-4) on the number line
Answer:
-1
Step-by-step explanation:
If u add 3 whole numbers to a negative number 4 then it'll equal -1. Think of it like 4-3 but add the negative sign at the begining
Answer:
-1
Step-by-step explanation:
Simplify: 3 - 43 - 4 = -1Mark -1 on the number lineI hope this helps!
What is the value of y?
Answer:
y = 29 degrees
Step-by-step explanation:
5y + 35 = 180
5y = 145
y = 29
At the Roseville Middle School Spring Festival, Ellen is running the egg-dying station. She
needs 5 tablespoons of vinegar for every 2 color tablets she uses. Ellen plans to use 16 color
tablets.
How many tablespoons of vinegar will Ellen need?
HELP THIS IS AN EMERGENCY
Answer:
40 tablespoons of vinegar
Step-by-step explanation:
the ratio is 2-5 so if you have 16-x you divide 16 by 2 and multiply with your quotient to the 5, which would be
2-5
16-x
16-5^8
16-40
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
5 tablespoons = 2 color tablets.
40 tablespoons = 16 color tablets
The number of tablespoons of vinegar required is 40.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
She needs 5 tablespoons of vinegar for every 2 color tablets she uses.
This means,
5 tablespoons = 2 color tablets.
Multiply 8 on both sides.
8 x 5 tablespoons = 8 x 2 color tablets.
40 tablespoons = 16 color tablets
Thus,
The number of tablespoons of vinegar required is 40.
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If A and (2A – 45°) are acute angles such that sin A = cos (2A – 45°), then tan A is equal to
(a) 0
(b) 13√
(c) 1
(d) √3
please answer it fastt
Answer:
(c) 1
Step-by-step explanation:
[tex] \sin \: A = \cos(2A - 45 \degree) \\ \\ \cos(90 \degree - A )= \cos(2A - 45 \degree) \\ \\ 90 \degree - A = 2A - 45 \degree \\ \\ 90 \degree - 45 \degree = 2A -A \\ \\ 45 \degree = A \\ \\ A = 45 \degree \\ \\ \tan \: A = \tan \: 45 \degree \\ \\ \huge \red{ \boxed{\tan \: A =1}}[/tex]
The actual distance between Oaxaca and Guadalajara, Mexico, is 984 kilometers. On a certain map, these two cities are 4 centimeters apartOn the same map, Guanajuato and Tijuana, Mexico, are 10 centimeters apart. What is the actual distance between Guanajuato and Tijuana ?
Answer: 2460 kilometers
Step-by-step explanation:
Actual distance between Oaxaca and Guadalajara = 984 kilometers
Distance between Oaxaca and Guadalajara on a map = 4cm
Distance between Guanajuato and Tijuana on a map = 10cm
The actual distance between Guanajuato and Tijuana will then be:
= 984/4 × 10
= 246 × 10
= 2460 kilometers
What is the answer to: three times a number K is more than 14
Answer:
k > 14/3
General Formulas and Concepts:
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Translate
"Three" = 3
"times" = multiplication
"a number k" = k
"is more than" = >
"14" = 14
Step 2: Set up inequality
3k > 14
Step 3: Solve for k
Divide both sides by 3: k > 14/3Here we see that any number k greater than 14/3, or 4.666..., will work as a solution.
What is the slope and y intercept
Y=-1/5x+6
Answer:
slope: -1/5×
y-int. : 6
Answer:
slope is -2/5x and the y intercept is 6
7/2x+1/2x=6+5/2x pls help
Answer:
4
Step-by-step explanation:
7/2+1/2=8/2
8/2=6=5/2
8/2-5/2=3/2
3/2=6
3/2=1.5
6/1.5=4
The tail of a kite is 1.5 feet plus twice the length of the kite. Together, the kite and tail are 15.5 ft long. Find the length of the tail.
Which equation represents the length of the tail if the length of the kite is k?
A. 2k - 1.5
B. k - 3.0
C. k + 3.0
D. 2k + 1.5
The equation represents the length of the tail if the length of the kite is k should be considered as the 2k + 1.5.
Calculation of the equation:Since
The tail of a kite is 1.5 feet plus twice the length of the kite. Together, the kite and tail are 15.5 ft long.
So here we assume the length be k
So here the equation be 2k + 1.5
Hence, the option d is correct.
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Whats is the answer for 30x10283
Answer: 30 x 10,283= 308,490
Step-by-step explanation: 30 multiplied by 10,283 equals 308,490
shenika is inviting 7 friends to a party. if each friend will get 5 cookies and each box has 12 cookies. how many boxes does shenika need to get
Answer:
Shenika invites 7 friends and each one gets 5 cookies.
= 7*5
= 35
Based on above answer, Shenika will need a total of 35 cookies for all.
-----------------------------------------------------------------------------------------------------------
Each box has 12 cookies.
Total cookies = 35
Let the number of boxes be x.
12*x = 35
x = 35/12
x = 2.9
This means she would need 3 boxes.
Nathan took his car in for service and repairs. He had a coupon for 10% off.
Original Prices
• Labor $254.58
• Parts $333.90
• Other $64.42
Which amount is closest to Nathan's total costs after the 10% discount and including 6% sales tax? [Assume tax is applied after the discount is applied.]
Answer:
$594.21
Step-by-step explanation:
Because 254.58 + 333.90+ 64.42= $622.87
and 10 off of $622.87 = $560.58
and 6% sales tax to $560.58 = $594.21
Which polynomial is in standard form?
A) 2x + 3x3 + 5x5 + 9x4 + 2x
B) 5 + 3x + x2 + 2x4 + 2x5
C) 8x7 + 3x6 + x5 + 5x4 − 2x3
D) 8x2 + 3x5 + x6 + 5x7 − 2
f(x)=x+2 g(x)=3x^2-5 find (f x g)(x)
Answer:
(f · g)(x) = 3x³ + 6x² - 5x - 10
General Formulas and Concepts:
Distributive PropertyFOIL (First, Outside, Inside, Last)Step-by-step explanation:
Step 1: Define
f(x) = x + 2
g(x) = 3x² - 5
Step 2: Find (f · g)(x)
Set up: (x + 2)(3x² - 5)FOIL: 3x³ - 5x + 6x² - 10Combine like terms: 3x³ + 6x² - 5x - 10Find three consecutive integers where the sum of the first and the twice second is 5.
Answer:
1,2, and 3
Step-by-step explanation:
1+ (2*2) is equal to 5, so it has to be 1 and 2, and you can figure out that 3 goes after that.
What is the slope of the line that passes through the points (-1, -7)(−1,−7) and (-2, -5) ?(−2,−5)? Write your answer in simplest form.
Answer:
-2
Step-by-step explanation:
HELP ME PLEASE!
Complete the work to find the equation of a line that passes through point (–5, –3) and is parallel to line y – 3x = –7. Step 1: Write the equation of the given line in slope intercept form: y = 3x – 7. Step 2: Determine the slope of the parallel line: m = 3. Step 3: Substitute the slope and given point into y = mx + b to find the y-intercept of the new line. –3 = 3 (–5 ) + b 3 = –15 + b b = 12 Step 4: Write the equation of the line parallel to 3x – y = 7 that passes through point (–5, –3).
Answer:
Y=3x+12 (its the first option)
Step-by-step explanation:
I did the assignment.
The equation of the line parallel to (3x - y = 7) passes through the point (-5, -3) is y = 3x + 2 and this can be determined by using the one-point slope form.
Given :
The line passes through the point (-5, -3) and is parallel to the line (y - 3x = -7).
The following steps can be used in order to determine the equation of a line that passes through the point (-5, -3) and is parallel to the line (y - 3x = -7):
Step 1 - The one-point form of a line is used in order to determine the equation of a line that passes through the point (-5, -3) and is parallel to the line (y - 3x = -7).
Step 2 - The one-point form is given below:
[tex](y-y_1) = m (x-x_1)[/tex]
Step 3 - According to the given data, the line is parallel to the line (y = 3x - 7). So, the slope of the line is 3.
Step 4 - Now, substitute the values of slope and the point in the above expression.
[tex](y+3) = 3 (x+5)[/tex]
y = 3x + 2
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Two friends, Aria and Kaylee, took summer jobs. The equation y = 20.2 x y=20.2x represents Kaylee's earnings in dollars and cents, y y, for working x x hours. Aria earned $737.20 in 38 hours.
Answer:
y=19.4x------represents Aria's earnings in dollars and cents,
Step-by-step explanation:
The question is not complete, however, the idea from this response can provide the needed solution and understanding
Step one:
The linear function for the earnings is given as
y = 20.2x-----this represents Kaylee Earnings.
y represents the total earnings
x represents the earning rate, in this situation it $20.2 per hour, this is also the gradient of the function m
Step two:
we want to find th equation for Aria earning
y= $737.20
time taken x=38 hours
737.2=m(38)
divide both sides by 38
m=737.2/38
m=19.4
this means that Aria earn $19.4 per hour
the function for Aria is
y=19.4x
1. The campus demographics state that 40% of the students are male. If there are 300 students, how many are male?
Answer:
120 males
Step-by-step explanation:
Well you need to set up your proportions which should look like this x/300 and 40%/100%.You need to cross multiply meaning you need to multiply 300 and 40 which equals to 12,000 then you will divide 12,000 by 100 and get 120
Helpppppppppppppppppppppppppp
5 and 8
Answer:
5. -3, -2/3
Step-by-step explanation:
5.
6x-4y=18
-x-6y=7 multiply this equation by 6 both sides
6x-4y=18
-6x-36y=42 add both equations
-4y-36y=18+42 combine like terms
-40y=60 so y = -4/6= -2/3
subtitute y=-2/3 in -x-6y=7
-x-6*(-2)/3=7 solve
-x+4=7 subtract 4 from both sides
-x=7-4
x= -3
8.
substitute y=4x+5 in to the second equation
12x-3(4x+5)=9
12x-12x-15=9
-15=9 is never true so the equation has no solutions
5p - 13 < 32
Please and thank you
Answer:
p < 9
Step-by-step explanation:
5p-13<32
Subtract 13 from both sides.
5p<45
divide 5 from both sides
p < 9
Solve w(raised to the 2nd power)=81, where w is a real number. Simplify your answer as much as possible.
w=?
Answer:
9
Step-by-step explanation:
9 to the second power would be 9 times 9, which equals 81
how to write thirty six thousanths in standard form
Answer:
36,000
Step-by-step explanation:
Answer:
3600
Step-by-step explanation:
because that's how you write it so yes do it please this is the answer s itch wi guy if i.p.o fallacy hallmark plz upload pda fool jsa xxl la all pda all jazz dlp jazz all
A sweater priced at $34.99 is on sale for 25% off. Find the cost with 7.5% sales tax.
Answer:
25%=$8.74 7.5%=$2.62
Step-by-step explanation:
5. The sum of three consecutive integers is
147. Which equation represents how to
find the least integer?
A. n+ (m + 1) + (n+ 2) = 147
B. 3n = 147
C. n + 2n + 3n = 147
D. 3n - 3 = 147
The solution is Option A.
The sum of the three consecutive numbers is given by the equation
A = n + ( n + 1 ) + ( n + 2 ) = 147°
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first number be n
The value of the second number = n + 1
The value of the third number = ( n + 1 ) + 1
The value of the third number = n + 2
Substituting the values in the equation , we get
Now , the total sum of all the values is A = 147
Hence , the equation is A = n + ( n + 1 )° + ( n + 2 ) = 147
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You make a necklace using blue,purple and green beads in ratio of 1:3:5. You use a total of 126 beads. How many green beads are in the necklace?
Answer:
Step-by-step explanation:
x + 3x + 5x = 126
9x = 126
x = 14 (blue beads)
3(14) = 42 (purple beads)
5(14) = 70 (green beads)
Complete the square to solve the equation below.
x2 + x + 7/4
HELP PLEASE
Answer:
Step-by-step explanation:
x^2-x=7/4. x2−x=74 x 2 - x = 7 4.
GUYS MORE HELP LIKE FAST
Step-by-step explanation:
4rhdhhdjddibdjdbdjd
Will give brainliest
Answer:
idk
Step-by-step explanation:
