Daniel’s answer was wrong because he used square root instead of the cubed root.
How can we calculate this?From the expression , which is [tex]t = 5.825 \sqrt[3]{3590/p}[/tex]
Then we can perform some operations to Solve for the value of p.
Then we can make division on the both sides of the equation using 5.825 , then we have
2.304 = [tex]} (3590/p)^{\frac{1}{3}[/tex]
We can cube the both side of the equation to will eliminate the radical and we will have
12.174 = 3590/p
then , p = 294.89 which implies that Natasha’s answer is correct.
Therefore , Daniel’s answer was wrong because he used square root instead of the cubed root.
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what is the value of sin30°+cos60°
The answer is 1.
Here, we need to know the trigonometric values of sin 30° and cos 60°, which are :
sin 30° = 0.5cos 60° = 0.5Hence, sin 30° and cos 60° :
0.5 + 0.51The picture below illustrates a special type of conic section called a circle.
Which of the following offers the best description of how a circle is formed?
W
A. The plane passes through the vertex of a right circular cone.
B. The plane passes through only one nappe of a right circular cone
and is perpendicular to its base.
C. The plane passes through both nappes of a right circular cone and
is perpendicular to its base.
D. The plane passes through only one nappe of a right circular cone
and is parallel to its base.
Answer:
D
Step-by-step explanation:
circles are parallel to the base and therefore only pass through 1 nappe
if the plane weren't parallel, we would make an ellipse
The graph of any function and the graph of its inverse are symmetric with respect to the
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
A function should be one - to - one and onto in order to have inverse.
and to find the point on its inverse function we swap the value of x - coordinate and y - coordinate.
like (x , y) becomes (y , x)
The only way we get (y , x) is by taking image of point (x , y) about line : y = x
[tex] \qquad \large \sf {Conclusion} : [/tex]
we can conclude that the graph of a function and it's inverse is symmetric about equation (line) : y = x
What step would be necessary if you wished to conduct a poll with a margin of error of zero?
The necessary step would be we would have to get every respondent in the population to participate if you wished to conduct a poll with a margin of error of zero.
What is a poll?An opinion poll, often known as a poll or a survey, is a human research survey of public opinion from a specific sample. Opinion polls are often designed to depict a population's opinions by asking a series of questions and then extrapolating generalities in ratio or within confidence intervals. A pollster is somebody who conducts polls.If we were to conduct a poll with a margin of error of zero, we would need to recruit every responder in the population to participate.As it is given in the description itself, if we were to conduct a poll with a margin of error of zero, we would need to recruit every responder in the population to participate.
Therefore, the necessary step would be we would have to get every respondent in the population to participate if you wished to conduct a poll with a margin of error of zero.
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Select the correct answer. what is the completely factored form of this expression? y2 − 12y 32 a. (y 4)(y 8) b. (y − 4)(y − 8) c. (y 18)(y 2) d. (y − 18)(y − 2)
Answer:
b. (y - 4)(y - 8)
Step-by-step explanation:
1) Find the domain of the function f(x) = 1 / |x ^2- 4|
2) Find the domain of the function f(x) = 1 / (x^ 2 + 4x + 3)
Answer:
x<-3 or -3<x<-1 or x>-1
Step-by-step explanation:
Domain - The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.
\mathrm{Domain\:of\:}\:\frac{1}{x^2+4x+3}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<-3\quad \mathrm{or}\quad \:-3<x<-1\quad \mathrm{or}\quad \:x>-1\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-3\right)\cup \left(-3,\:-1\right)\cup \left(-1,\:\infty \:\right)\end{bmatrix}
neeed help more more please uwu
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
Let's calculate its discriminant ~
[tex]\qquad \sf \dashrightarrow \: {t}^{2} + \cfrac{17}{2} t - 5 = 0[/tex]
[ Multiply both sides by 2 ]
[tex]\qquad \sf \dashrightarrow \: 2 {t}^{2} + 17t - 10[/tex]
a = 2b = 17 c = 10[tex]\qquad \sf \dashrightarrow \: discriminant = {b}^{2} - 4ac[/tex]
[tex]\qquad \sf \dashrightarrow \: d = (17) {}^{2} - (4 \times 2 \times - 10)[/tex]
[tex]\qquad \sf \dashrightarrow \: d = 289 - ( - 80)[/tex]
[tex]\qquad \sf \dashrightarrow \: d = 369[/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt {d }= 3 \sqrt{41} \approx19.209 [/tex]
So, by quadratic formula :
[tex]\qquad \sf \dashrightarrow \: t = \dfrac{ - {b}^{} \pm \sqrt{d} }{2a} [/tex]
[tex]\qquad \sf \dashrightarrow \: t = \dfrac{ - {17}^{} \pm \sqrt{369} }{2 \times 2} [/tex]
[tex]\qquad \sf \dashrightarrow \: \:t = \cfrac{ - 17 - 19.209}{4} \: \: and \: \: t = \dfrac{-17+19.209}{4} [/tex]
[tex]\qquad \sf \dashrightarrow \: \:t = \cfrac{ - 36.209}{4} \: \: and \: \: t = \dfrac{2.209}{4} [/tex]
[tex]\qquad \sf \therefore \: t = - 9.052 \: \: \: or \: \: \: t = 0.552[/tex]
A laptop is on sale for 45% off the regular price. If the sale price is $299.75, what was the original price?
The original price of the laptop is calculated as $545
How to find the original Price?We are given;
Sales Price of Laptop = $299.75
Now, the laptop is on sale for 45% off regular price.
If original price is x, then we can express that;
(100% - 45%) * x = 299.75
Thus;
55%x = 299.75
0.55x = 299.75
x = 299.75/0.55
x = $545
Thus, the original price of the laptop is calculated as $545
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A parabola has a vertex at (0,0). The equation for the directrix of the parabola is x = –4.
In which direction does the parabola open?
up
down
right
left
The direction does the parabola open is right. Option C
What is the equation of a parabola?
It is important to note that the general equation of a parabola is: y = a(x-h)² + k or x = a(y-k)² +h
where
⇒ (h , k) denotes the vertex.
Also, the standard equation of a regular parabola is y² = 4ax.
From the equation given , we have
The vertex of the parabola is at (0, 0)Directrix of the parabola is x = -4We know that when the vertex of the parabola is (0, 0) and the directrix is x = - a, the parabola will have the form;
y² = 4ax
It is important to note that ;
If the x - axis has a positive value, the parabola shifts to the leftif the x- axis has a negative value, the parabola shift to the rightFrom this, we can see that the parabola would open in the right direction
Thus, the direction does the parabola open is right. Option C
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Which unit rate is the lowest price per ounce
Choice a: 10 ounces of chocolate chips for $1.66
Choice b: 20 ounces of chocolate chips for $3.22
1: choice a
2: choice b
3:unit rates are equal
4:Cannot be determined
Answer:
2: choice b
Step-by-step explanation:
a: $1.66 / 10 oz = $0.166/oz
b: $3.22 / 20 oz = $0.161/oz
Answer: 2: choice b
Two fishing boats leave the same dock at the same time. One boat heads northeast and is travelling at a speed of 15 km/h while the other is travelling northwest at 18 km/h. After 45 minutes, the boats are 14.0 km apart. Assuming that both boats are travelling in straight paths, what is the angle between their paths to the nearest degree?
Assuming that both boats are travelling in straight paths, the angle that is between their paths to the nearest degrees is =34°
Calculation of angle of triangleA triangle is a type of polygon that has three pointed edges.
A polygon is defined as a closed object that is made up of line segments in a two dimensional plane.
Other examples of polygon include the following:
hexagons, pentagons, and quadrilaterals.The angle between the paths of the boats can be calculated using the formula Cos θ = a/b
Where b = 18km/h
a = 15km/h
Cos θ = 15/18
cos θ = 0.83
Therefore, θ = Cos¹0.83
θ = 33.9
θ = 34°
In conclusion, the angle that is between their paths to the nearest degrees is =34°
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Solve the inequality and enter your solution as an inequality comparing the variable to a number x+25>50
Let's solve your inequality step-by-step.
x+25>50
Step 1: Subtract 25 from both sides.
x+25−25>50−25
x>25
Answer:
x>25
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What would you do if you found two values that were twice as big as the next highest value?
If I discovered two numerical values that were twice as big as the next highest value, I would expunge them because they can affect the final results.
What is a numerical data?A numerical data is also referred to as a quantitative data and it can be defined as a data set that is primarily expressed in numbers only.
This ultimately implies that, a numerical data is a data set consisting of numbers rather than words.
What is an outlier?An outlier can be defined as a numerical value that is either unusually too small or large (big) in comparison with the overall pattern of the numerical values contained in a data set.
Assuming I am counting the number of expert tutors on Brainly and I discovered two numerical values that were twice as big as the next highest value, I would expunge them because they can affect the final results.
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If X = 2 centimeters, Y = 5 centimeters, and Z = 5 centimeters, what is the area of the object?
Answer: [tex]35 cm^2[/tex]
Step-by-step explanation:
Area of trapezium =
2X = 2 + 2 = 4 cm
2Z = 5 + 5 = 10 cm
Y = 5 cm
[tex]\dfrac{ \left( 4+10 \right) }{ 2 } \times 5[/tex]
|
|--------> 35 [tex]cm^2[/tex]
what time 2 equals 25
Answer:
the answer to "2 times what equals 25?" is 12.5.
For a population with µ = 80 and σ = 20, the distribution of sample means based on n = 16 will have an expected value of __________
Answer:
calculate the number of atom in 3 mol helium
if x^2 - 9 = 0 then x can only be equal to 3. true or false
Answer:
False
Step-by-step explanation:
The variable could also be -3, not just 3.
Answer:
False
Step-by-step explanation:
x^2 - 9 = 0
x^2 = 9
x = +- 3
Find the inequality represented by the graph.
The inequality of the graph is expressed as: y > 1/2x + 2.
How to Find the Inequality of a Graph?The graph given has a broken line and the shaded part is above the boundary line, therefore, we would use the sign, ">" in our inequality. The inequality would be expressed as y > mx + b.
Find the slope (m):
Slope (m) = rise/run = 1 units/2 units
m = 1/2
b = 2 (y-intercepts)
Substitute m = 1/2 and b = 2 into y > mx + b
y > 1/2x + 2.
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Please Help me i will give brainlist !Which of the choices below show the pre-image quadrilateral ABCD, rotated 180° about the origin?
Answer:
The first choice.
Step-by-step explanation:
The second choice is a translation and the third choice is a reflection.
Graph Y equals |x|-5
Answer:
graph C
Step-by-step explanation:
when X= 0
Y ---> -5
so , answer is graph C
Answer:
c
Step-by-step explanation:
the graph of | x | has its vertex at the origin and has shape V
the graph of | x | - 5 is the graph of | x | translated 5 units vertically down.
That is graph c represents | x | - 5
Which inequality explains why these three segments cannot be used to construct a triangle? ef fd > de ed ef < df ed ef > df ef fd < de
We have the segments EF, FD, and DE.
Therefore, the correct answer is
ED + EF < DF
EF + FD < DE
What is Triangle Inequality Theorem?
The Triangle Inequality Theorem states that the totality of any side of a triangle must be greater than the measure of the third side in this problem.
We have the segments EF, FD, and DE.
To construct a triangle three inequalities must be met
case 1: EF + FD > DE
case 2: FD + DE > EF
case 3: EF + DE > FD
Therefore, the correct answer is
ED + EF < DF
EF + FD < DE
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(01.02 mc)matt is showing his work in simplifying (6.2 − 1.6) − 4.4 7.8. identify any error in his work or reasoning. step 1: (6.2 − 1.6) − 4.4 7.8 step 2: 6.2 (− 1.6 − 4.4) 7.8 (commutative property) step 3: 6.2 − 6 7.8 step 4: −14 − 6 = 8 (commutative property) step 5: 14 − 6 = 8 he wrote commutative instead of distributive in step 4. he wrote commutative instead of distributive in step 2. he wrote commutative instead of associative in step 4. he wrote commutative instead of associative in step 2.
The correct option is (d)
He wrote commutative instead of associative in step 2.
What is the commutative property?According to the commutative property, a mathematical principle, the product of a multiplication does not depend on the order in which the numbers are multiplied.
Commutative property: a+b = b+a
Associative property: (a+b) + = a+(b+c)
Now consider the provided expression.
(6.2 − 1.6) − 4.4 + 7.8
Step 1:
(6.2 − 1.6) − 4.4 + 7.8
Step 2 Use Associative property
6.2 + (−1.6 − 4.4) + 7.8
Step 3: Simplify
6.2 − 6 + 7.8
Step 4: Use commutative property
14 − 6
Step 5: Simplify
14 − 6 = 8
Hence, the wrong step is step 2.
He wrote commutative instead of associative in Step 2.
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I understand that the question you are looking for is:
Matt is showing his work in simplifying (6.2 − 1.6) − 4.4 + 7.8. Identify any error in his work or reasoning. Step 1: (6.2 − 1.6) − 4.4 + 7.8 Step 2: 6.2 + (− 1.6 − 4.4) + 7.8 (commutative property) Step 3: 6.2 − 6 + 7.8 Step 4: −14 − 6 = 8 (commutative property) Step 5: 14 − 6 = 8
(a)-He wrote commutative instead of distributive in Step 4.
(b)-He wrote commutative instead of distributive in Step 2.
(c)-He wrote commutative instead of associative in Step 4.
(d)-He wrote commutative instead of associative in Step 2.
Sami cuts out a rectangle that has a perimeter of 48 inches and a length of 13 inches. they cut out another rectangle that is the same length and twice as wide. what is the perimeter of the new rectangle?
Answer:
70 inches
Step-by-step explanation:
the width of the original rectangle:
48/2 - 13 = 24 - 13 = 11
the new rectangle:
length: 13
width: 2(11) = 22
perimeter: 2(13+22) = 2(35) = 70
The perimeter of the new rectangle is 70 inches.
What is Area of Rectangle?The area of Rectangle is length times of width.
The perimeter of a rectangle is given by the formula P = 2(l + w)
where P is the perimeter, l is the length, and w is the width.
The first rectangle has a perimeter of 48 inches and a length of 13 inches.
48 = 2(13 + w)
24 = 13 + w
w = 11
So the first rectangle has a length of 13 inches and a width of 11 inches.
The second rectangle has the same length of 13 inches and twice the width of the first rectangle, which means it has a width of 22 inches.
P = 2(13 + 22)
= 2(35)
= 70
Therefore, the perimeter of the new rectangle is 70 inches.
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what is a constant
for example
[tex]y=x^{3} -3x^{2} +Kx+8[/tex] where K is the constant
what does that mean
Answer:
see explanation
Step-by-step explanation:
K is a constant means that K is a fixed numerical value
Circle A is shown. Secant W Y intersects tangent Z Y at point Y outside of the circle. Secant W Y intersects circle A at point X. Arc X Z is 105 degrees and arc W Z is 175 degrees.
In the diagram of circle A, what is the measure of ∠XYZ?
35°
70°
75°
140°
Circle A is shown. Secant W Y intersects tangent Z Y at point Y outside of the circle. Secant W Y intersects circle A at point X. Arc X Z is 105 degrees and arc W Z is 175 degrees.
In the diagram of circle A, what is the measure of ∠XYZ?
35°
70°
75°
140°
By applying the theorem of intersecting secants, the measure of angle XYZ is equal to: A. 35°.
How to determine angle <XYZ?By critically observing the geometric shapes shown in the image attached below, we can deduce that they obey the theorem of intersecting secants.
What is the theorem of intersecting secants?The theorem of intersecting secants states that when two (2) lines intersect outside a circle, the measure of the angle formed by these lines is equal to one-half (½) of the difference of the two (2) arcs it intercepts.
By applying the theorem of intersecting secants, angle XYZ will be given by this formula:
<XYZ = ½ × (m<WZ - m<XZ)
Substituting the given parameters into the formula, we have;
<XYZ = ½ × (175 - 105)
<XYZ = ½ × 70
<XYZ = 35°.
By applying the theorem of intersecting secants, we can infer and logically deduce that the measure of angle XYZ is equal to 35°.
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Answer: 35
Step-by-step explanation:
Which of the following steps were applied to ABCD to obtain A'B'C'D'?
A. shifted 3 units right and 4 units down
B. shifted 2 units right and 3 units down
C. shifted 3 units
right and 3 units down
D. shifted 2 units right and 4 units down
The answer is B.
To obtain A'B'C'D' from ABCD, we can clearly see that it has been shifted 2 units right and 3 units down.
Evaluate the expressions. 32) 12+ 32÷3-6
Answer:
16.66666667
Step-by-step explanation:
=12+10.66666667-6
=22.66666667-6
=16.66666667
5. On the way to the museum, 50% of the students rode on the first bus.
What fraction of the students rode on the second bus? Show your work
in the space below. Remember to check your solution.
Answer:
1/2
Step-by-step explanation:
Since 50% is half the number of students it means that half of the students took the first bus which leaves the other half to take the 2nd bus
I NEED THIS ANSWER QUICK (5 1/6 - x) ∙ 2.7 - 5 3/4 = -1.25 what is x
Answer:
x = 3 1/2
Step-by-step explanation:
You could simplify the given equation first, then solve the resulting 2-step linear equation. It might work better to undo the operations done to the variable.
Solution(5 1/6 -x)(2.7) -5 3/4 = -1 1/4 . . . . . given
(5 1/6) -x)(2.7) = 4 1/2 . . . . . . . add 5 3/4 to both sides
(5 1/6 -x) = 4.5/2.7 = 5/3 . . . divide by 2.7
31/6 -10/6 = x . . . . . . . . . . add x-5/3, use common denominators
21/6 = x = 7/2
x = 3 1/2
can someone help me pls
Explanation:
The sector is the pizza slice. We subtract off the area of the triangle to find the yellow shaded area.
78.6794 - 70.4956 = 8.1838
