What is the slope of the line represented by the equation y = - 1/2x + 1/4
Suppose FLX =ZAQ Which other congruency statements are correct
which of the following statement are false? o vertical angles are congruent. o angles with measures between 0 and 90 are complementary. o straight angles are supplementary. o angles with measures between 90 and 180 are obtuse
Can someone please help me with math
For a store contest, four out of every 65 people who visit the store will receive a free DVD. If 455 people visit the store, how many DVDs were given away
40 students, 21 like math, 18 like science, of those who like math, 14 also like science. how many students like neither science or math
What is the answer to 7x+3y=8 solve for y
50h + 0.20s + 40 part
a.identify a coefficient, a variable, and a constant in this expression. part
b.if corinne works for 25 hours and sells $300 in magazines, how much does she earn for the week? show your work to receive full credit. part
c.if corinne gets a raise and begins earning $9 per hour, would the coefficient, variable, or constant in the equation change? why?
I need the steps to this, please. It says solve for x. Each figure is a parallelogram. Show your work.
Please answer VVVV
Convert 1.580 hectoliters to deciliters.
The value of 1.580 hectoliters in decilitres will be 1580.
What is unit conversion?Unit conversion is the process of changing a quantity's measurement between different units, usually using multiplicative conversion factors.
The same attribute is expressed using a unit conversion but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.
Given that the fluids have a value of 1.580 hectoliters.
The value of hectoliters in deciliters will be converted as below,
1 hectoliters = 1000 deciliters
1.580 hectoliters = 1.580 x 1000 deciliters
1.580 hectoliters = 1580 deciliters
Therefore, the value of 1.580 hectoliters in decilitres will be 1580.
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A cereal manufacturer decides to offer a new family-sized box based on the regular-sized box. They want the volume of the family-sized box to be three times the volume of the regular-sized box. However, they want the length of the family-sized box to be the same as the regular-sized box. If they decide to double the width to create the family-sized box, by what factor must they increase the height?
volume = l x w x h
to increase volume by 3 you would have 3*l*w*h
so 3*l*w*h= l*2*w* x *h ( x is the scale factor)
cancel out the l w and h on both sides
3 = 2x
Divide both sides by 2
x = 3/2 = 1.5
the height should increase by a factor of 1.5
Answer:
3/2 or 3 over 2
Step-by-step explanation:
A cereal manufacturer decides to offer a new family-sized box based on the regular-sized box.
They want the volume of the family-sized box to be three times the volume of the regular-sized box. However, they want the length of the family-sized box to be the same as the regular-sized box.
If they decide to double the width to create the family-sized box, by what factor must they increase the height?
Odyssey Question
Which ordered pair can be removed so that resulting graph represent a function ?
The ordered pair which can be removed so that resulting graph represent a function is:
(1,3)
Step-by-step explanation:Function--
A function is a relation in which each of the element of first set is mapped to a single element of the other set.
i.e. no element is mapped to two elements i.e. there is a single image for each pre-image.
Here in the graph we have ordered pairs as:
(-5,-3) (-4,-4) (-2,2) (1,-2) (1,3) (2,1) (5,-4)
Hence, we see that element " 1 " is mapped two different elements
1 is mapped to -2 ( since, we have ordered pair (1,-2) )
and 1 is mapped to 3 ( since, we have ordered pair (1,3) )
If we remove the ordered pair (1,3) then the resulting graph will be a graph of a function.
What two numbers multiply to 12 and add to negative 4?
The two numbers that multiply to 12 and add to negative 4 are -6 and 2.
To find the two numbers, we need to solve the system of equations:
1. xy = 12 (Equation 1)
2. x + y = -4 (Equation 2)
From Equation 2, we can express y in terms of x:
y = -4 - x (Equation 3)
Now, we substitute Equation 3 into Equation 1:
[tex]\( x(-4 - x) = 12 \)\\ \( -4x - x^2 = 12 \)\\ \( x^2 + 4x - 12 = 0 \)[/tex]
We can factor this quadratic equation:
[tex]\( (x + 6)(x - 2) = 0 \)[/tex]
Setting each factor equal to zero gives us two possible solutions for x:
[tex]\( x + 6 = 0 \) or \( x - 2 = 0 \)[/tex]
So, [tex]\( x = -6 \) or \( x = 2 \)[/tex].
Using Equation 3 to find the corresponding y values:
If ( x = -6 ), then ( y = -4 - (-6) = 2 ).
If ( x = 2 ), then ( y = -4 - 2 = -6 ).
Therefore, the two pairs of numbers that satisfy both conditions are (-6, 2) and (2, -6). Since the question asks for two numbers, and both pairs contain the same numbers, the answer is -6 and 2.
Prove or disprove: if p and q are prime numbers then pq - 2 is also a prime number.
Counterexample:
[tex] p=2\\
q=3\\\\
pq-2=2\cdot3-2=4 [/tex]
4 is not a prime number. So, it's false.
How do you find the amount of nuetrons in an atom?
The area of a rectangle is 16 square feet, determine the length and width if the legnth is 4 times the width
can someone solve this problem for me? Show me your steps to solve this problem as well.
HELP! WHAT IS 15/16 - 3/4
Classify each number by indicating in which set or sets it belongs 8 and 0.25
The number 8 belongs to the sets of natural numbers, integers, rational numbers, and real numbers, while the number 0.25 only belongs to the sets of rational and real numbers.
Explanation:In mathematics, numbers can belong to various sets such as the natural numbers, integers, rational numbers, real numbers, etc. In this case, the number 8 belongs to all these sets because it is a whole number without fractions or decimals. Therefore, it is a natural number, integer, rational number and real number.
On the contrary, 0.25 is a decimal which belongs to the sets of rational numbers and real numbers. It does not belong to the sets of natural numbers or integers because it is not a whole number.
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multiply (X-Ai)(X+Ai)
write the polynomial in standard form. Then name the polynomial based on its degree and the number of terms. 6-2x^3-3x+6x^3
Two straight lengths of wire are placed on the ground, forming vertical angles. If the measure of one of these angles is 72 degrees, what are the measures of the other three angles. Explain your answer
they need to equal 180 degrees
180-72 = 108 degrees
Answer: 108, 108, and 72 degrees
Step-by-step explanation:
Angle A = 72
Angle B = Angle D
Angle C = 72 (Since it is congruent to Angle A)
Angle D = Angle B
Since Angle A and C are congruent, so are angles B and D. Now you would have to subtract 72 from 180.
180 - 72 = 108
Angle A = 72
Angle B = 108
Angle C = 72
Angle D = 108
the present age of sahil's mother is three time the present age of sahil . after 5 years their ages add up to 66 years . find theor present ages
A circle has an area of 153.86 square inches. Using 3.14 for pi, find the radius and circumference of the circle. Round your answer to the nearest hundredth when necessary.
To determine the radius and circumference of a circle with an area of 153.86 square inches, one must first divide the area by 3.14 to solve for r², then take the square root to find the radius, and finally use the radius to calculate the circumference. The radius is approximately 7.00 inches, and the circumference is approximately 43.96 inches.
Explanation:To find the radius and circumference of a circle with an area of 153.86 square inches, we first use the formula for the area of a circle, which is A = πr². Given that A is 153.86 and π is approximately 3.14, we can rearrange the formula to solve for the radius (r) as follows:
Divide the area by π: r² = A / π = 153.86 / 3.14.Take the square root of the result to find the radius: r = √(r²).Use the radius to calculate the circumference using the formula C = 2πr.Performing the calculations, we get:
r² = 153.86 / 3.14 = 48.99r = √(48.99) ≈ 7.00 inches (rounded to the nearest hundredth)C = 2 * 3.14 * 7.00 ≈ 43.96 inches (rounded to the nearest hundredth)Therefore, the radius of the circle is approximately 7.00 inches, and the circumference is approximately 43.96 inches.
To find the radius from the area of a circle, use the formula r = sqrt(A/pi), with A = 153.86 sq inches and pi as 3.14. Once the radius is determined, calculate the circumference with the formula C = 2*pi*r. Both values should respect the significant figures.
Explanation:The student is asking for help finding the radius and circumference of a circle given its area using 3.14 for pi. To find the radius, we start with the area formula for a circle, which is A = πr². Given the area A as 153.86 square inches, and using 3.14 for π, the radius r can be found by rearranging the formula to r = √(A/π). Plugging the numbers in, we get r = √(153.86/3.14), which we then calculate.
Once we have the radius, we can find the circumference C of the circle using the formula C = 2πr. Now that we know the radius, we plug the value into this formula to get the circumference.
Both radius and circumference should be calculated carefully, keeping in mind significant figures. The radius should then be used to calculate the circumference, which will be limited by the same degree of precision.
Complete the two-column the proof.
Given: is complementary to .
bisects .
Prove: is complementary to .
What’s the answer ????
As a salesperson, you are paid $100 per week plus $3 per sale. This week you want your pay to be at least $160. Write an inequality for the number of sales you need to make, and describe the solutions. A) 100 - 3s ≤ 160; s ≤ 20 B) 100 + 3s ≥ 160; s ≥ 18 C) 100 - 3s ≤ 160; s ≤ 18 D) 100 + 3s ≥ 160; s ≥ 20
Answer:
The answer is D. Hope it helps!
Jeniffer has $16 in her piggy Bank . She has 4 times more than her sister Christy . How mucho money dos Christy have in her piggy Bank ?
A bookcase contains 2 statistics books and 5 biology books. if 2 books are chosen at random, the chance that both are statistics books is
The chance that both the book are of statistics is [tex]\boxed{\dfrac{1}{21}}[/tex].
Further Explanation:
Given:
The total number of statistics book is [tex]2[/tex].
The total number of biology book is [tex]5[/tex].
Concept used:
Probability is defined as the ratio of favorable outcomes to total outcomes.
[tex]\boxed{\text{Probability}=\dfrac{\text{favorable outcomes}}{\text{total outcomes}}}[/tex].
Combination is defined as the selection of all or part of object without considering the order of the object.
[tex]\boxed{^{n}C_{r}=\dfrac{n!}{r!\cdot (n-r)!}}[/tex]
Here, [tex]n[/tex] is the total number of object and [tex]r[/tex] is the number of object to be chosen.
Calculation:
The total number of book is [tex]7[/tex].
The chance of getting the statistics books is the favorable outcomes for the problem.
The selection of two statistics book from two statistics book is represented as follows:
[tex]\boxed{^{2}C_{2}}[/tex]
The total outcomes can be obtained by selection of two books from seven books which is represented as follows:
[tex]\boxed{^{7}C_{2}}[/tex]
Write the formula to obtain the chance that both the books are statistics.
[tex]\boxed{P=\dfrac{^{2}C_{2}}{^{7}C_{2}}}[/tex]
Solve the above equation to obtain the chance that both the books are of statistics.
[tex]\begin{aligned}P&=\dfrac{^{2}C_{2}}{^{7}C_{2}}\\&=\dfrac{\frac{2!}{2!\cdot (2-2)!}}{\frac{7!}{2!\cdot (7-5)!}}\\&=\dfrac{1}{\frac{7\times 6}{2}}\\&=\dfrac{1}{21}\end{aligned}[/tex]
Therefore, the probability that the two selected books are of statistics is [tex]\boxed{\dfrac{1}{21}}[/tex].
Learn more:
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2. Quadratic equation: https://brainly.com/question/1332667
Answer details:
Grade: High school.
Subject: Mathematics.
Chapter: Probability.
Keywords: Probability, statistics, favorable, outcomes, total outcomes, 0.047, \frac{1}{{21}}, chance, biology books, 2, 7, chances, randomly chosen.
explain how you can solve 40 × 16 by breaking apart the numbers.