Rewrite using radicals
Answer:
√7; ∛13²; ⁵√x³; and the last is b root of m to the power of a
Step-by-step explanation:
When you take a number to the power of a fraction, you write it as the root of the denominator to the power of the numerator. The denominator is the bottom number and the numerator is the top number.
.Draw a quadrilateral in the Cartesian plane, whose vertices are (– 4, 5), (0, 7), (5, – 5) and (– 4, –2). Also, find its area.
Answer:
Part 1
The drawing of the quadrilateral is included here
Part 2
The area of the quadrilateral is 60.5 unit²
Step-by-step explanation:
Part 1
Please find attached the given drawing of the quadrilateral created with Microsoft Excel
Part 2
The given quadrilateral ABCD comprises of a trapezium AECD and triangle ABE
The height of the trapezium, h₁ = 4 units
For segment BC, we have;
The slope = (-5 - (-2))/(5 - (-4)) = -1/3
The equation of the line BC in point and slope form is y - (-5) = -1/3×(x - 5)
Which gives;
y = -1/3×(x - 5) - 5 = -x/3 + 5/3 - 5 = -x/3 - 10/3
The y-intercept is (0, -10/3)
The lengths of the opposite parallel sides of the trapezium AECD are;
a = 5 - (-2) = 7 and b = 7 - (-10/3) = 31/3
The area of the trapezium AECD = ((a + b)/2) × h₁ = ((7 + 31/3)/2) × 4 = 104/3 unit²
The height of triangle
The area of ABE, h₂ = 5
The base of triangle ABE = b = 31/3
The area of triangle ABE = 1/2 × b × h₂ = 1/2 × 31/3 × 5 = 155/6 unit²
The area of quadrilateral ABCD = The area of the trapezium AECD + The area of triangle ABE
∴ The area of quadrilateral ABCD = 104/3 unit² + 155/6 unit² = 60.5 unit².
1. If an item is discounted 20%, the sale price is what percent of the original price?
2. If the original price of the item is $400, what is the dollar amount of the discount?
3. How much is the sales price?
Answer:
1. it would be 80% of the original price
2.400×.20=$80
80 dollars would be the amount you would discount from the original price.
3.the sales price is $320
400-80=320
Step-by-step explanation:
Hope this helped :)
also hi!
A student is trying to solve the system of two equations given below:
Equation P: y + z = 6
Equation Q: 3y + 4z = 1
Which of the following is a possible step used in eliminating the y-term?
Answer:
Step-by-step explanation:
one step can be multiply equation P by -3 and add it to the equation Q
How much interest would $4000 earn in one year at a rate of 3.2%?
The product of t and 6 is greater than 12
Answer:
A possible answer for t could be 3
Step-by-step explanation:
I honestly don't know if this is right, but yeah here ya go!
All values of t which are greater than 2 , are the solutions of given inequality.
Inequality :It is given that,
The product of t and 6 is greater than 12.
So that, inequality is,
[tex]6*t > 12[/tex]
Divide both side by 6.
[tex]6*t > 12\\\\t > \frac{12}{6} \\\\t > 2[/tex]
Therefore, all values of t which are greater than 2 , are the solutions of given inequality.
Learn more about the inequality here:
https://brainly.com/question/24372553
Find the distance between the points A(2,-1) and B(-4, 2). (simplify your answer)
Answer:
[tex]d = 3\sqrt{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point A (2, -1)
Point B (-4, 2)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d.
Substitute [DF]: [tex]d = \sqrt{(-4-2)^2+(2+1)^2}[/tex]Subtract/Add: [tex]d = \sqrt{(-6)^2+(3)^2}[/tex]Exponents: [tex]d = \sqrt{36+9}[/tex]Add: [tex]d = \sqrt{45}[/tex]Simplify: [tex]d = 3\sqrt{5}[/tex]I need Help Pleaseeee
Answer:
m∠C = 54°, m∠CDB = 100°
Step-by-step explanation:
in ΔABC, m∠A= 37° and m∠B = 89°
The sum of all 3 angles in any triangle is 180° so
m∠C = 180-37-89 = 54°
m∠CDB = 180-80 = 100° because any line has a 180°angle
4 A nurse is administering pain medication to
a patient. The patient's chart says that
the patient received 650 milligrams of
medication yesterday, and today he is to
receive 75% less medication than he did
yesterday. How many milligrams of pain
Someone please answer and justify thanks :)
medication should the nurse administer to
the patient today?
F 162.5 milligrams
G 262.5 milligrams
H 487.5 milligrams
J 575.0 milligrams
Help hep help hep plz plz plz
Answer:
w=4
Step-by-step explanation:
How many baby's does it take to paint a wall
Answer:
12 I think?
Step-by-step explanation:
The answer to the famous joke is "It depends on how hard you throw them." It's important to note that this joke is dark humor and can be considered offensive or inappropriate.
It plays on a shocking and insensitive idea, which is why it's not suitable for all audiences. Jokes like this should be used with extreme caution, as they can cause discomfort or distress to others.
Humor should be inclusive and respectful of everyone's feelings and sensitivities. While jokes can be a form of entertainment, it's essential to choose them wisely and be mindful of their potential impact on others. In most social settings, it's best to avoid jokes that involve sensitive subjects or potentially harmful content.
To know more about dark humor, click here.
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------------The given question is incomplete, the complete question is:
"What is the answer to the famous joke, "How many babies does it take to paint a wall?"---------------
in (1,8) is y greater than x + 5
Answer:
True.
Step-by-step explanation:
Note the point values: (x , y) = (1 , 8) ∴ x = 1, y = 8
Plug in the corresponding numbers to the corresponding variables in the equation:
y > x + 5
(8) > (1) + 5
8 > 1 + 5
8 > 6
8 is greater than 6, ∴ y is greater than x + 5.
~
Answer:
yes it would
Step-by-step explanation:
x=1 + 5 is six
y=8
8 > 6
8 > 1
i think that's right lol
I climbed 775 steps in 12 1/2 seconds
how many steps did i average climb per minute?
Answer:
3720
Step-by-step explanation:
60/12 1/2
*775
Answer:
Per minute is 3720 steps.
Step-by-step explanation:
60 divided by 12.5 = 4.8
4.8 times 775 = 3720
NEED HELP ASAPPP!!
A sales promotion for Christmas is advertising all PS5 games for $45.25 per game, up to 6 games, with a $10 subscription fee. The total cost, y, for x number of PS5 games can be modeled by a linear function.
What is the range of the function for this situation?
A. {0,1, 2, 3, 4, 5, 6}
B. {0,55.25, 100.50, 145.75, 191.00, 236.25, 281.50}
C. 0 ≤ y ≤ 281.50
D. 0 ≤ x ≤ 6
Answer:
0 ≤ y ≤ 281.50
Step-by-step explanation:
i did the math
how do you solve -3 + 5 +6g =11 - 3g?
Final Answer: [tex]g = 1[/tex]
Steps/Reasons/Explanation:
Question: How do you solve [tex]-3 + 5 +6g = 11 - 3g?[/tex]
Step 1: Simplify [tex]-3 + 5 + 6g[/tex] to [tex]6g + 2[/tex].
[tex]6g + 2 = 11 - 3g[/tex]
Step 2: Subtract [tex]2[/tex] from both sides.
[tex]6g = 11 - 3g - 2[/tex]
Step 3: Simplify [tex]11 - 3g - 2[/tex] to [tex]-3g + 9[/tex].
[tex]6g = -3g + 9[/tex]
Step 4: Add [tex]3g[/tex] to both sides.
[tex]6g + 3g = 9[/tex]
Step 5: Simplify [tex]6g + 3g[/tex] to [tex]9g[/tex].
[tex]9g = 9[/tex]
Step 6: Divide both sides by [tex]9[/tex].
[tex]g = 1[/tex]
~I hope I helped you :)~
A local animal shelter has 600 cats and dogs. There are 2 times more cats than dogs. Let x represent the number of cats and let y represent the number of dogs. Which system of equations represents this situation?
Answer:
2x + y = 600
Step-by-step explanation
Answer:
1,200x + 600y or 2x + y= 600
Step-by-step explanation:
knowing that there are 600 cats and 2 times the amount of cats we will have 1,200 cats which is 1,200x + 600y
Sylvia and Patrick plotted the information they gathered on the weight of cars and the mileage they get. Then they each drew a line on the graph that they felt best fit the data. Sylvia’s line is a line of best fit because her line is close to most of the data points . Patrick’s line is not a line of best fit as his line does not fit the data points exactly .
Answer:
Sylvia’s line is a line of best fit because her line is close to most of the data points. Patrick’s line is not a line of best fit as his line is not close enough to all the data points.
What is -4 1/2 as a decimal?
Answer: -4.5
Step-by-step explanation:
moving company rents moving trucks for $20 plus $0.19 per mile. Suppose a customer’s total bill for renting a truck comes to $34.06. How many miles did the customer drive? Write an equation and explain how you used it to find your answer.
Answer:
34.06=20+0.19m
Step-by-step explanation:
The 20 dollars is a one-time thing so we don't need a variable for that. The 0.19 per mile does because the cost will depend on how many miles you drove (I used the variable 'm' but you could use a different letter). Altogether the bill costs 34.06 so that will go on the opposite side of our equal side.
34.06=20+0.19m
First we need to isolate 0.19m to find the number of miles the customer drove, and we can do that by subtracting 20 on each side.
34.06-20=20-20+0.19m
14.06=0.19m
Now we divide 0.19 because 0.19 is multiplied to m and division is the opposite operation
m=74
This means that the customer drove 74 miles.
Una casa de dos plantas esta construida en un terreno rectangular de 66m² , tal como lo muestra los siguientes pasos si x es el frente de la casa y x+5 el largo. De la ecuacion cuadratica que define el area del terreno es x² + 5x-66=0 ¿Cuanto mide el frente de la casa?
Answer:
El frente de la casa es 6 metros.
Step-by-step explanation:
El area de la casa está dada por el área de un rectángulo:
[tex]A = f*l = x (x+5) = 66[/tex]
En donde f es el frente = x , l es el largo = x+5 y A es el área = 66m²
Si la ecuación cuadrática que define el área del terreno viene dado por:
[tex] x^{2} + 5x - 66 = 0 [/tex]
Resolviendo la ecuación cuadrática para x tenemos:
x₁ = -11 y x₂ = 6
Tomando el valor positivo, podemos decir que el frente de la casa es 6 metros.
Espero que te sea de utilidad!
For an end-of-year party, Ms. Wilson purchased 98 stickers and 56 lollipops. Each student will receive an equal number of stickers and an equal number of lollipops. There will be no stickers or lollipops leftover.
Based on this information, what is the greatest number of students that Ms. Wilson can have in her class?
Answer:
14 i think
Step-by-step explanation:
tbh, just guess and check
98/7=14 each student gets 7 stickers
56/14=4 each student gets 4 lollipops
there are 14 students.
Which number is the additive inverse of -5?
Answer:
5
Step-by-step explanation:
Because -5 is a negative number and the opposite of negative is positive and 5 is positive.
Final Answer: [tex]5[/tex]
Steps/Reasons/Explanation:
Write down [tex]-5 + x = 0[/tex] because this is our equation with [tex]-5[/tex] plugged in to get an additive inverse. We will have to add [tex]5[/tex] to both sides. This means our additive inverse is positive [tex]5[/tex].
Question: Which number is the additive inverse of [tex]-5[/tex]?
[tex]-5 + x = 0[/tex]
Step 1: Regroup terms.
[tex]x - 5 = 0[/tex]
Step 2: Add [tex]5[/tex] to both sides.
[tex]x = 5[/tex]
~I hope I helped you :)~
y varies directly with x. If x= 1 and y = 0.25 what is y if x = 9
Type your answer...
Answer:
y=2.25
Step-by-step explanation:
0.25x9=2.25
rewrite the equation in standard form
Answer:
The answer is D.
Step-by-step explanation:
sooo UwU which becomes O////O then becomes T.T
Which ordered pairs are soultions to the inequality y-2x<-3
Answer:
(-3, 3/2)
Step-by-step explanation:
Given the inequality function y-2x<-3, to get the solution, we will need to find the x and y-intercept of the inequality function
y-intercept occurs at x = 0
Substitute x = 0 into the expression
y - 2(0) < -3
y < -3
Find the x-intercept by substituting y = 0 into the expression
0 - 2x < -3
-2x < -3
x > 3/2
Hence the ordered pair is (x, y) = (-3, 3/2)
which ratio is same as 2/3
The ratio 4/6 is the same as 2/3 because they have the same proportion.
To find a ratio that is the same as 2/3, multiply or divide both the numerator and the denominator by the same non-zero number.
1. Multiplying by the same number:
If you multiply both the numerator and the denominator of 2/3 by 2, you get:
= (2 × 2) / (3 × 2)
= 4/6
So, the ratio 4/6 is the same as 2/3.
2. Dividing by the same number:
Divide both the numerator and the denominator of 2/3 by 3, you get:
= (2 ÷ 3) / (3 ÷ 3)
= 2/3
So, the ratio 2/3 remains the same.
In conclusion, the ratio 4/6 is the same as 2/3.
Learn more about Ratio here:
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the two lines graphed on the coordinate grid each responds an equation witch orderd pairs represents a solution to both equations
Answer:
Step-by-step explanation:
Graphing ordered pairs is only the beginning of the story. Once you know how to place points on a grid, you can use them to make sense of all kinds of mathematical relationships.
You can use a coordinate plane to plot points and to map various relationships, such as the relationship between an object’s distance and the elapsed time. Many mathematical relationships are linear relationships. Let’s look at what a linear relationship is.
please answer!
The equation d = 30 − 60h gives the distance d in miles that a bus is from the station h hours after leaving an arena. How far is the station from the arena?
A. 0.5 miles
B. 120 miles
C. 30 miles
D. 60 miles
Amswer
it is b Step-by-step explanation:
PLEASE HELP ME I DONT UNDERSTAND
Answer:
[tex]d=4\sqrt{5}[/tex]
Step-by-step explanation:
Write down both endpoint coordinate points:
[tex](-5,-3)(-1,5)[/tex]
Use the distance formula:
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2} \\\\(x_{1},y_{1})(x_{2},y_{2})[/tex]
Insert values:
[tex]d=\sqrt{(-1-(-5))^2+(5-(-3))^2} \\\\d=\sqrt{(-1+5)^2+(5+3)^2}[/tex]
Simplify parentheses:
[tex]d=\sqrt{(4)^2+(8)^2}[/tex]
Simplify exponents:
[tex]d=\sqrt{16+64}[/tex]
Add:
[tex]d=\sqrt{80}[/tex]
Find the square root. Find multiples of 80 that are perfect squares:
[tex]16*5=80\\\\\sqrt{16*5}\\\\\sqrt{16}*\sqrt{5} \\\\[/tex]
[tex]d=4\sqrt{5}\\\\d=8.94427190...[/tex]
:Done
Help me plssss!!!!!!!!!!!!!!!
Answer:
B
Step-by-step explanation:
the 0.1 is rate of change decreasing and 10.1 is original amount