Completely simplify spare root of 24x^6
Answer:
Assuming x ≥ 0:
[tex] \sqrt{24 {x}^{6} } = \sqrt{24} \sqrt{ {x}^{6} } = \sqrt{4} \sqrt{6} \sqrt{ {x}^{6} } = 2 {x}^{3} \sqrt{6} [/tex]
What is the discriminant of the quadratic equation
The discriminant of a quadratic equation ax²+bx+c = 0 is found using the formula b² - 4ac. It helps determine the nature of the roots of the equation, with the sign of the discriminant indicating whether the roots are real or complex.
Explanation:The discriminant of a quadratic equation, written in standard form as ax²+bx+c = 0, is found using the formula b² - 4ac. This value comes from the quadratic formula used to solve for the roots of the equation: -b ± √b² - 4ac divided by 2a. This discriminant can help determine the nature of the roots without solving the entire equation. If the discriminant is positive, the quadratic has two distinct real roots. If it is zero, there is one real root. If the discriminant is negative, there are two complex roots.
For example, consider the quadratic equation x² - 4x + 4 = 0. Here, a = 1, b = -4, and c = 4. Therefore, the discriminant is (-4)² - 4(1)(4) = 16 - 16 = 0. This means the equation has one real root.
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Belinda's GPS system worth $400 was stolen out of her car. If Belinda's insurance policy summary is given below, how much will Belinda receive from her insurance company when she files her claim?
Summary
Comprehensive Deductible: $375
Collision Deductible: $550
Premium of $625 for 4 months
how to write function in standard form
[tex]f(x) = (2 \times + 1)(x + 1)(x - 1)[/tex]
HELP XD : Brainliest to best
Math
10 points
PLEASE EXPLAIN: Is there any job you could have as an adult where you would not need to know any math?
In order to make a servings for four 1 3/4 cups of chopped vegetables are needed based on this information determine the amount of chopped vegetables needed to make a recipe for ten
Answer:
To make recipe for 10 requires 35/8 or 4.375 chopped vegetables
Step-by-step explanation:
For 4, 7/4 cups of chopped vegetable are needed
it means for recipe for 4, requires 1.75 chopped vegetable
Therefore 10 recipe will require
10 × 7/4(1.75) cup divided by 4
Mathematically,
10 × 1.75 = 17.5
17.5/4 = 4.375 or 35/8 chopped
You start a search for a buried object by marking the center of a field as (0, 0), with coordinates giving distances in yards. Coordinates to the north or east are positive, and coordinates to the south or west are negative. You find nothing at (–5, 3), so you try a likely looking spot 6 yards to the east and 5 yards to the south of the first spot. What are the coordinates of the second spot?
If my radius is 7.8 maters. What is the circumference and area of my circle
cuanto valen 75 sobres a $2,000 el cien?
the art teacher has 12 glue sticks find five different ways to show equal groups of glue sticks
Final answer:
Five ways to divide 12 glue sticks into equal groups are 2 groups of 6, 3 groups of 4, 4 groups of 3, 6 groups of 2, and 12 groups of 1.
Explanation:
The student asked for five different ways to show equal groups of glue sticks when they have 12 glue sticks in total. Here are five ways to make equal groups:
Two groups of 6 glue sticks.Three groups of 4 glue sticks.Four groups of 3 glue sticks.Six groups of 2 glue sticks.Twelve groups of 1 glue stick (though technically each group has the same, there would just be one glue stick per group).To visualize this, you can draw the groups on paper or use objects to represent the glue sticks and arrange them into the number of groups needed.
A recipe for bread uses 5 3/4 cups of white flour and 3 1/3 cups of wheat flour. How many more cups of white flour than wheat flour are used in the recipe? Write an equation and complete the bar diagram to solve.
The recipe uses 2 5/12 cups more white flour than wheat flour. To find this, convert the amounts to improper fractions, find a common denominator, and then subtract the amount of wheat flour from the amount of white flour.
Explanation:To find out how many more cups of white flour are used than wheat flour in a bread recipe, you need to calculate the difference between the amounts of the two flours. The recipe calls for 5 3/4 cups of white flour and 3 1/3 cups of wheat flour. To do this mathematically, we must first convert these mixed numbers to improper fractions.
The white flour amount, 5 3/4 cups, can be converted as follows: (5 × 4) + 3 = 20 + 3 = 23/4 cups. Similarly, the wheat flour amount, 3 1/3 cups, converts to (3 × 3) + 1 = 9 + 1 = 10/3 cups.
Now, to find the difference, we subtract the wheat flour from the white flour:
23/4 (white flour) - 10/3 (wheat flour)Before subtraction, you have to ensure that both fractions have the same denominator. The least common denominator here is 12. The equation now becomes:
(23 × 3)/(4 × 3) - (10 × 4)/(3 × 4) = 69/12 - 40/12Simplifying the subtraction gives us:
69/12 - 40/12 = 29/12Therefore, the recipe uses 29/12 cups, or 2 5/12 cups more white flour than wheat flour.
Image point B (4,-8) was transformed using the translation (x-2,y+3) what were the coordinates of B?
Answer: (6, -11)
Step-by-step explanation:
Tommy has a history test on Monday morning. He writes down the number of minutes he studies for the test each day for a week. Using his chart, calculate the average number of minutes he studied each day. If necessary, round your answer to the nearest tenth. Day Mins
Monday-30
Tuesday-20
Wednesday-0
Thursday-0
Friday-0
Saturday-0
Sunday-120
Answer:
The Answer for this question is merely 30.7
Step-by-step explanation:
The diameter of a normal front wheel on a bicycle is 24 in. Find the circumference of a circle... DUE TODAY HELPP
Which expression could be used to solve this problem? Tom is making lunch for his 3 children. He wants to give each child 2 carrot sticks and 5 pieces of celery. How many of these vegetables does Tom need? A. 2 × (3 × 5) B. 3 × (2 + 5) C. 3 × 2 + 5 D. 5 + 2 × 3
The two cones are similar. Find the surface area of the larger cone. Round your answer to the nearest hundredth. A.810.28cm squared. B.847.80cm squared. C.868.30cm squared. D.886.25cm squared
Need help with this one!
Carl tells his friend Logan about a new music download service.
Carl says that if you download x collections per month, your monthly cost will be 2(x + 10). Logan says the cost will be 2(x + 5). Who is correct?
A. Only Carl is correct.
B. Only Logan is correct.
C. Both Carl and Logan are correct.
D. Both Carl and Logan are incorrect.
Answer:
caral corect
Step-by-step explanation:
hes wrong not d
41/17 as a decimal rounded to the nearest tenth
Which statement is true about the distribution? A line ranging from 0 to 120 with boxes between 15 and 28, 28 and 34, 34 and 40, and 40 and 48. The IQR is the best measure of variability because the distribution has an outlier. Either the IQR or the range are good measures of variability because the distribution has an outlier. Either the IQR or the range are good measures of variability because the distribution has no outliers. The range is the best measure of variability because the distribution has an outlier.
Answer: The answer is A. "The IQR is the best measure of variability because the distribution has an outlier."
Step-by-step explanation:
Find the zeroes in F(x) = 3x^2 + 9x + 12
HELP PLEASE !!! 20 POINTS!
Match each relation with its domain and range.
1. D = {1,2, -1}; R = {3,5,2}
2. {1,2, -1}; R = {1,2, -1}
3. D = {3,5,2}; R = {3,5,2}
4. D = {3,5,2}; R = {1,2, -1}
a. {(1,3), (2,5), (-1,2)}
b. {(3,3), (5,5), (2,2)}
c. {(1,1), (2,2), (-1,-1)}
d. {(3,1), (5,2), (2, -1)}
Can someone please help me.
1 question 1 brainleast! Figure II is a translation image of Figure I. Write a rule to describe the translation.
Answer:
The translation is (x, y)--->(x - 1, y + 2).
For the spring festival, the Math Club is selling rulers for $1 and compasses for $2.50. the club would like to sell as many items as they can to raise funds. they need to at least make $15 to break even. write an inequality to represent this situation. let r=#of rulers sold and c=#of compasses sold.... School rules state that the club can sell a maximum of items for the festival. Write another inequality for this constraint (limitation).
Final answer:
To represent the situation, the inequality is 1r + 2.50c >= 15. The constraint on the maximum number of items sold is r + c <= M.
Explanation:
To write an inequality representing the situation, we need to consider the cost and the number of items sold. Let's denote the number of rulers sold as r and the number of compasses sold as c. The cost of the rulers is $1 each and the cost of the compasses is $2.50 each. The Math Club needs to make at least $15 to break even, so the inequality is: 1r + 2.50c >= 15.
Now, let's consider the constraint or limitation on the maximum number of items sold. Let's assume the maximum number of items that can be sold is M. So the inequality for this constraint is: r + c <= M.
Final answer:
The student should write the inequality 1r + 2.5c ≥ 15 to represent the condition of making at least $15 from selling rulers and compasses. An additional constraint can be represented by the inequality r + c ≤ m, with m being the maximum number of items allowed to be sold.
Explanation:
The Math Club is looking to make at least $15 by selling rulers at $1 each and compasses at $2.50 each. To represent this situation as an inequality where r is the number of rulers and c is the number of compasses sold, we use the equation: 1r + 2.5c ≥ 15. This inequality ensures that the combination of rulers and compasses sold will bring in at least $15.
If there is a maximum number of items that the Math Club is allowed to sell, we can represent this as another inequality. Let's say the maximum number of items is m. Then, we can write the inequality as: r + c ≤ m, where m is the given maximum number of items that can be sold.
A 6x4 rectangle sits inside a 8x7 rectangle
How do you solve | P-1| = 4 in a absolute value equation
PLEASE HELP!!!ASAP!!!!
Write an equation that you can use to solve for x.
Enter your answer in the box.
A pizza stand offer both hand- tossed and pan pizza. customer can add any combination of the six available topping.
Final answer:
There are 12 varieties of pizza available based on the given options: 2 crust options and 6 topping options.
Explanation:
Pizzas can have different varieties depending on the toppings and crust options. Let's calculate the number of varieties we can get using the multiplication principle.
Suppose there are 6 available toppings and 2 crust options (hand-tossed and pan). A customer can choose any combination of these toppings. So, there are 2 options for the crust and 6 options for each topping. Using the multiplication principle, we multiply the number of options for each factor: 2 (crust) * 6 (topping) = 12 varieties.
Therefore, there are 12 varieties of pizza available based on the given options.
The number of possible outcomes for a pizza order is calculated by considering 2 crust types and 64 topping combinations, resulting in:
[tex]\[ 2 \times 64 = 128 \][/tex]
Thus, there are [tex]\(\boxed{128}\)[/tex]possible outcomes.
To solve this problem, we need to find the total number of possible outcomes for a customer ordering a pizza at the stand. There are two main choices to consider:
1. The type of pizza crust (hand-tossed or pan).
2. The combination of toppings (from a set of six available toppings).
Step-by-Step Calculation
Step 1: Determine the choices for the type of pizza crustThere are 2 types of crusts available:
- Hand-tossed
- Pan
This gives us 2 choices for the crust.
Step 2: Determine the choices for the toppingsFor each of the 6 available toppings, a customer can either choose to include the topping or not. Each topping thus has 2 choices: include or not include.
Since the choices for each topping are independent, we can use the multiplication rule of counting (specifically, the rule for combinations):
[tex]\[2^{6} \text{ combinations of toppings}\][/tex]
Calculating this gives:
[tex]\[2^{6} = 64 \text{ combinations}\][/tex]
Step 3: Combine the choices for crust and toppingsThe total number of possible outcomes is the product of the number of choices for the type of crust and the number of combinations of toppings.
[tex]\[2 \text{ (types of crust)} \times 64 \text{ (combinations of toppings)} = 128 \text{ outcomes}\][/tex]
Therefore, the number of possible outcomes in the sample space is:
[tex]\[\boxed{128}\][/tex]