Answer:
Sales price of article = 629 naira
Step-by-step explanation:
Given:
Discounted rate = 15%
Marked price of article = 740 naira
Find:
Sales price of article
Computation:
Sales price of article = Marked price of article [1 - Discounted rate]
Sales price of article = 740[1 - 15%]
Sales price of article = 740[1 - 0.15]
Sales price of article = 740[0.85]
Sales price of article = 629 naira
A rancher has a rectangular sheep pen that is 3 meters long and 2 meters wide. The rancher plans to increase both the length and the width of the pen by x meters so that the new area of the pen will be 20 square meters?
Step-by-step explanation:
20=3x+2x.
3x+2x=5x,
so
5x=20.
20/5=4, so
4=x
A certain species of fish require 1.5 cubic feet of water per fish to maintain a
healthy environment. Find the maximum number of fish you could put in a tank
measuring 5 feet by 3 feet by 3 feet.
Answer: 30 fish
Step-by-step explanation:
A tank measuring 5 feet by 3 feet by 3 feet has a volume of 5*3*3 =45 cubic feet.
If there are 45 cubic feet of water in this tank, and each fish requires 1.5 cubic feet of water, the number of fish that can fit in the tank is 45/1.5 = 30.
HELP ASAP! Will name brainliest.
Identify the transformed function that represents f(x) = ln x stretched vertically by a factor of 5, reflected across the x-axis, and shifted by 6 units left.
g(x) = −5ln (x − 6)
g(x) = −5ln (x + 6)
g(x) = 5ln (x − 6)
g(x) = 5ln (x + 6)
Answer:
g(x) = 5ln (x-6)
Step-by-step explanation:
For us to have a vertical stretch, we need to multiply the whole function by the factor of stretching
Say for example, we stretched f(x) by a factor of a , we have the result as a•f(x)
Now, when we shift by a certain number of units, this is particularly a translation
The kind we have here is a horizontal translation
So by shifting 6 units left, we have it that we need to subtract 6 units from the x-coordinate value
Thus, we have the resulting function as;
g(x) = 5ln (x-6)
Questions 7,11,12,14,15and 16 please thanks
№7
[tex]4(5y - 2) = 52\\4*5*y - 4 * 2 = 52\\20y - 8 = 52\\20 y = 52 + 8\\20y = 60\\y = 60 : 20\\y = 3[/tex]
№11
[tex]2x + 17 = 5x - 4\\17 + 4 = 5x - 2x\\21 = 3x\\x = 21 : 3\\x = 7[/tex]
№12
[tex]2x + 7 = 16 - 4x\\2x + 4x = 16 - 7\\6x = 9\\x = 9 : 6\\x = \frac{3}{2}\\x = 1,5[/tex]
№14
[tex]4(2y + 1) = 2 (12 - y)\\4*2*y + 4 * 1 = 2 * 12 - 2 * y\\8y + 4 = 24 - 2y\\8y + 2y = 24 - 4\\10y = 20\\y = 20 : 10\\y = 2[/tex]
№15
[tex]7 - 3x = 2(x + 1)\\7 - 3x = 2x + 2\\7 - 2 = 2x + 3x\\5 = 5x\\x = 5 : 5\\x = 1[/tex]
№16
[tex]\frac{x-3}{2} = 5\\x-3 = 5*2\\x - 3 = 10\\x = 10 + 3\\x = 13[/tex]
Alan and Margot each drive from City A to City B, a distance of 147 miles. They take the same route and drive at constant speeds. Alan begins driving at 1:40 p.m. and arrives at City B at 4:15 p.m. Margot’s trip from City A to City B can be described with the equation y = 64x, where y is the distance traveled in miles and x is the time in minutes spent traveling. Who gets from City A to City B faster?
Answer:
Margot gets from A to B faster
Step-by-step explanation:
Alan takes 2 hr and 35 min = 2. 58... hr
Margot takes 147/64 hr = 2.296.. hr
Please help write a system of equations to represent the scenario
can someone pls help
Answer:
Commutative property
Step-by-step explanation:
Commutative property is usually 2 equations switched around
En un triángulo, dos de sus ángulos internos miden 40º y 55º. Hallar la medida de su tercer ángulo interno.
Answer:
La medida del tercer ángulo interno es 85°.
Step-by-step explanation:
Los triángulos son figuras geométricas planas que poseen tres lados en contacto entre sí en puntos comunes denominados vértices. A su vez, los triángulos poseen tres ángulos interiores. Estos tres ángulos interiores del triángulo suman 180°.
En este caso, en un triángulo, dos de sus ángulos internos miden 40º y 55º. Siendo θ el tercer ángulo interior, entonces:
θ + 40° + 55°= 180°
Resolviendo:
θ + 95°= 180°
θ= 180° - 95°
θ=85°
La medida del tercer ángulo interno es 85°.
Find the perimeter of the triangle in terms of b.
I’m marking branliest
Answer:
7b - 2 = 6b
3b + 7 = 10b
6b + 6b + 10b +10b
12b + 20b
34b
What is the sign of -4x\cdot y\cdot 0^6−4x⋅y⋅0 6 minus, 4, x, dot, y, dot, 0, start superscript, 6, end superscript when xxx and yyy are positive numbers?
Answer:
non-negative
Step-by-step explanation:
Given
[tex]-4x\cdot y\cdot 0^6[/tex]
[tex]x , y > 0[/tex] --- Positive numbers
Required
The sign
[tex]-4x\cdot y\cdot 0^6[/tex]
First, we simplify the expression
[tex]0^6 = 0[/tex]
So:
[tex]-4x\cdot y\cdot 0^6 = -4x\cdot y\cdot 0[/tex]
The product of 0 and any factor is 0. So:
[tex]-4x\cdot y\cdot 0^6 = 0[/tex]
Since the result is 0, then the sign is non-negative
8-6x=-28 I need help plzzz
Answer:
6
Step-by-step explanation:
We need to solve the equation .The given equation is ,
→ 8 - 6x = -28
→ -6x = -28-8
→ -6x = -36
→ x = -36/-6
→ x = 6
• Hence the value of x is 6 .NO LINKS PLEASE
EXPLANATION REQUIRED
I WILL GIVE BRAINLIEST
DONT MINF MY PRO CROPPING. DEFF.
ALSO ITS NOT C
Answer:
B is the correct answer
Step-by-step explanation:
Subtract area of triangle from total area: 30 - 14 = 16Since the figure is a square, all the sides are equal. Therefore, we need to find the square root of 16: √16 = 4All the sides of the square are 4 cm longTo check, reverse application:4 x 4 = 1616 + 14 = 30need help asap will give brainlyest
Answer:
it in a is correct if im wrong it is B
Step-by-step explanation:
Find the function y = f(t) passing through the point (0, 18) with the given first derivative.
dy/dt = 1/8 t
y = ?
Answer:
[tex]\displaystyle y = \frac{t^2}{16} + 18[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
FunctionsFunction NotationCoordinates (x, y)Calculus
Derivatives
Derivative Notation
Antiderivatives - Integrals
Integration Constant C
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
Point (0, 18)
[tex]\displaystyle \frac{dy}{dt} = \frac{1}{8} t[/tex]
Step 2: Find General Solution
Use integration
[Derivative] Rewrite: [tex]\displaystyle dy = \frac{1}{8} t\ dt[/tex][Equality Property] Integrate both sides: [tex]\displaystyle \int dy = \int {\frac{1}{8} t} \, dt[/tex][Left Integral] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle y = \int {\frac{1}{8} t} \, dt[/tex][Right Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle y = \frac{1}{8}\int {t} \, dt[/tex][Right Integral] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle y = \frac{1}{8}(\frac{t^2}{2}) + C[/tex]Multiply: [tex]\displaystyle y = \frac{t^2}{16} + C[/tex]Step 3: Find Particular Solution
Substitute in point [Function]: [tex]\displaystyle 18 = \frac{0^2}{16} + C[/tex]Simplify: [tex]\displaystyle 18 = 0 + C[/tex]Add: [tex]\displaystyle 18 = C[/tex]Rewrite: [tex]\displaystyle C = 18[/tex]Substitute in C [Function]: [tex]\displaystyle y = \frac{t^2}{16} + 18[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integration
Book: College Calculus 10e
A line on a coordinate plane passes through the point (2, -7) and has a slope of 0.75.
When the line passes through x = -6, what is the value of y? Enter the answer in the box.
HELP ME NOWWW
The solution is: When the line passes through x = -6, the value of y is: -13.
Here, we have,
given that,
A line on a coordinate plane passes through the point (2, -7) and has a slope of 0.75.
we know the equation of straight line is: ;
y = mx + c
here, m = 0.75 and, (x,y) =(2, -7)
so, we get,
c = -7 - 0.75*2 = - 8.5
So, the equation of straight line is:
y = 0.75x - 8.5
now, when the line passes through x = -6,
we get,
y = 0.75* (-6) - 8.5
= - 13
Hence, The solution is: When the line passes through x = -6, the value of y is: -13.
To learn more on Equation 0f Straight-Line click:
brainly.com/question/25124441
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You are going to take a 10-question True/False test. How many ways can this test be answered if leaving questions blank is a viable option for each question?
Answer:
There are 59,049 different ways of answering the exam.
Step-by-step explanation:
The first thing we need to count is the total number of selections, then we need to count the number of options for each one of these selections. The total number of combinations will be equal to the product between all the numbers of options.
Here, the selections are each one of the 10 questions, so we have 10 selections.
And each one of these selections has 3 options (true, false, blank)
So, we have 10 selections with 3 options each, then the total number of combinations will be:
C = 3*3*3*3*3*3*3*3*3*3 = 3^10
C = 59,049
There are 59,049 different ways of answering the exam.
How do i do this, and please step by step i will give brainliest
Answer:
-50 N
Step-by-step explanation:
125 - 75 = 50
left = negative
right = positive
The ball is going to be kicked to the left because the net force on the right is larger, and as you can see above, left = negative and right = positive. So the answer would be -50 N
10. Use the data to determine the missing values in the five-number summary.
Data Values
5, 7, 2, 3, 4, 1, 7, 8, 5, 6, 2, 3, 7, 1, 9, 6, 1, 2, 5, 3, 8, 3, 2, 7, 5, 9
minimum: 1
Q1:
Q2:
Q3:
maximum: 9
Answer:
Q1 - 2
Q1 - 5
Q3 - 7
maximum 9
minimum 1
Step-by-step explanation:
order the numbers from least to greatest
ace or expert pls help
Answer:
Step-by-step explanation:
-0.25
-1/3
1/4
0.3
Answer:
D
Step-by-step explanation:
When multiplying exponential terms with the same base, which best explains how to simplify the expression?
A.Add the exponents.
C.Subtract the exponents.
B.Multiply the exponents
D.Divide the exponents.
Answer: A
Step-by-step explanation:
Answer:
A. Add the exponents.
Step-by-step explanation:
The rule for same base multiplication is:
[tex] a^m \times a^n = a^{m + n} [/tex]
Add the exponents.
Answer: A. Add the exponents.
Who could help me on the last part
Step-by-step explanation:
X^a times X^b = X^a + b
so 4x times 6x = 24x^(1+1)
Leon is buying a bicycle. The regular price of the bicycle is x dollars. The bicycle is on sale for 20% off. He has to pay 5% sales tax on the sale price of the bicycle. To represent his total cost, Leon writes the expression shown 1.05(x-0.2x) . Which expression also represents Leon’s total cost?
A.) 0.79x
B.) 0.84x
C.) 0.85x
D.) 0.21x
Answer:
B.) 0.84x
Step-by-step explanation:
total cost= 1.05(x-0.2x)
= 1.05 (0.8x) = 0.84x
Can someone help me I’m supper confused
Determine the slope of the line that passes through the points:
Answer:
The slope of the line is 4.
Step-by-step explanation:
Recall that slope = rise over run: rise / run.
From the table we see that if x changes from 0 to 4, a run of 4, y changes from -1 to 15, a rise of 16, the slope of this line must be
m = rise / run = 16/4 = 4
The slope of the line is 4.
Write 7 17/20 as a decimal
Answer:7.85
Step-by-step explanation:
7 17/20 as a decimal is 7.85
how I got that?
1. 17/20=0.85
2, 7+0.85=7.85
hope this helps!
**MARKING BRAINLIEST PLEASE HELP**
Answer:
whats the question
Step-by-step explanation:
HELP!! I need to do this today (Show steps) first answer gets BRAINLY
Which of these best describes the profit Emily gets from selling these cards?
A. 7.50 per box
B. 10.00 per 30 box
C. 3.00 per 4 boxes
Answer:
A. 7.50 per box
Step-by-step explanation:
We know that when there are 4 boxes, we make 30 dollars. Divide 4 from 30 to get 30/4 which is equal to 7.5. This means we make 7.5 dollars per box.
If this helps please mark as brainliest
PLEASE HELP! Which ones are statistical questions? Mark all that apply. ( no random links )
Answer:
C, D and F
Step-by-step explanation:
A total of 378 vacationers are planning to take an extended
trip down the Oregon trail (to learn about life as an early
settler). IA 21 people can comfortably fit inside a covered
wagon and the trip organizers have borrowed 13 wagons, how
many more will they need.
PLSSSS HELP!!! AND NO LINKS!!
Answer:
A
Step-by-step explanation:
In 2 months, he got 70 stamps, meaning 35 stamps per month. On the first month, he has 55 stamps by the end of the first month, and since every month he gets 35 stamps, He was given 20 Stamps to start with. It is not D since he saves 35 stamps himself every month, meaning from the beggining of that month, he had 20, and by the end had 55, since the question specifies it shows the amont of stamps at the END of the month.