Answer:
Interpretation: A cube with sides of 4 units each has a volume of 64 units³.
Explanation:
As v(s) represents the volume of the cube, s represents the length of the sides.
∴ v(4) represents the volume of a cube with sides of units, and the volume is 64 units³
s x – 5 a factor of the function f(x) = x3 – 5x2 + 7x – 35? Use the Remainder Theorem to justify your answer.
By using the remainder theorem we found that ( x - 5 ) is the factor of function f(x) = x³ – 5x² + 7x – 35.
What is factorization?Factorization is defined as splitting the polynomial into its most simplified form. This factor satisfies the polynomials from which it is extracted.
The factorization by using the Remainder theorem.
x - 5 ) x³ – 5x² + 7x – 35.( x ² + 7
x³ - 5x²
______________
00 7x - 35
7x - 35
-------------------------
00
Here the function is completely divided by the factor x - 5 therefore
by using the remainder theorem we found that ( x - 5 ) is the factor of function f(x) = x³ – 5x² + 7x – 35.
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There is a 45% chance of snow on Friday. Thereis a 78% chance that I will go sledding if it snows. What is the probability that I will go
sledding?
Answer:
35.1% chance of going sledding
Step-by-step explanation:
45% chance of snow on Friday
Convert percentage to decimal form (divide by 100)
45% = 0.45
78% chance of sledding if it snows
Convert percentage to decimal form (divide by 100) to multiply
78% = 0.78
Multiply to find the probability of both occurring
0.78 * 0.45 = 0.351
Convert back into a percentage (multiply by 100)
0.351 = 35.1% chance of sledding
Let me know if you have any questions!
For the graph y = 12 find the slope of a line that is perpendicular to it and the slope of a line parallel to it. Explaln your
answer with two or more sentences.
The line y = 12 has a slope of 0 because it is a horizontal line, meaning that for any change in x, there is no change in y. Ths means the slope of a line parallel to it would be 0 (since parallel lines have the same slope), and the slope of a line perpendicular to it would be undefined (since perpendicular lines have slopes that are negative reciprocals of each other, and when you divide by 0, you get an undefined result).
I NEED HELP ASAP!!!!
Samuel entered the following key strokes on his calculator.
5 EE (-) 9 divided by 2 EE 4
What did Samuel's calculator display?
A. 2.5E - 13
B. 2.5E - 4
C. 2.5E5
D. 2.5E14
Whoever gets this CORRECT may get MARKED BRAINLIEST.
In the case above about Samuel, one can say that Samuel's calculator has display option A. 2.5 E (- 13)
What is the calculation about?The function was [tex]\frac{5E (-9) }{2E(4) }[/tex] :
We know that, E implies 10 to rise to power.
So, The equation above is Converted from scientific notation into standard form.
[tex]\frac{5 x 10^-9 }{2 x 10^ 4 }[/tex]
= 5/2 x 10 ⁻⁹⁻⁴
=2.5 x 10⁻¹³
Therefore, In the case above about Samuel, one can say that Samuel's calculator has display option A. 2.5 E (- 13)
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What would the slope of a line be if it were parallel to the line: y = 1 / 3x - 5 ?
Answer:
Parallel lines have the same slope, so the slope would be 1/3. It would need a different y intercept though or it would be the same line.
What are the values for y when x is 2, 4, and 6?
y = 20x + 7
The graph of y = is reflected over the y-axis and then translated down 2 units to form f(x). Which is the graph of f(x)?
If the function is reflected over the y-axis and then translated down 2 units. the resulting function will be -∛x - 2
Transformation of coordinatesTransformation is a technique used to change the position of an object on an xy-plane.
Given the function y = ∛x
If the function is reflected over the y-axis and then translated down 2 units to form f(x), the resulting function f(x) will be:
f(x) = -∛x - 2
The graph of the resulting function is attached
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Answer:
B
Edge 2023
The other answer is incorrect!!!
Please helpppp I really need please
Step-by-step explanation:
please mark me as brainlest
Factorize: 1+4a+4a^2
Answer: (1+2a)^2 or (1+2a)(1+2a)
Step-by-step explanation:
Answer:
[tex](2a +1)( 2a + 1)[/tex]
Step-by-step explanation:
[tex]1+4a+4a^2[/tex][tex]=4a^2 +4a +1[/tex][tex]=4a^2 +2a + 2a + 1[/tex][tex]=2a(2a +1) +1( 2a + 1)[/tex][tex]=(2a +1)( 2a + 1)[/tex]Draw a
box-and-whisker plot for the set of data.
27, 35, 44, 51, 52, 54, 56, 69, 69, 79, 80, 100, 100
a.
b.
C.
d.
0510 15 20 25 30 35 40 45 50 55 60 65 70
05 10 15 20 25 30 35 40
45 50-55
HHH
05
#2
0 5 10 15 20 25 30 35 40 45 50 55
60 65 70
60 65 70
10 15 20 25 30 35 40 45 50 55 60 65 70
75 80 85 90
75 80 85 90
75
75
95 100
80 85 90
95 100
80 85 90 95 100
95 100
Answer: B
Step-by-step explanation:
The maximum is 100 and the minimum is 27.
The only option that shows this is B.3. College Students (10 points)
In Fall 2019, there were approximately 16.6 million undergraduate students in degre
granting postsecondary institutions. This represents a 5% decrease from the Fall 200
number of students. How many undergraduate students were there in 2009?
Source: https://nces.ed.gov/fastfacts
The number of students is 33.2 million
What is percentage decrease?Percent decrease refers to the percent change in the value when it is decreased over a period of time. Percentage decrease expresses the decrease in the given value with respect to its initial value in the form of a percentage.
Given:
In 2019= 16.6 million
% decrease = 5%
So,
% decrease= x - 16.6/ x
5% = x- 16.6/x
0.05= (x-16.6)/x
0.05x = x-16.6
-0.05 x = -16.6
x= 16.6/0.05
x= 16600000/0.05
x= 332,000,000
x= 33.2 million.
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Use the In key on your calculator to estimate
the logarithm.
In 49
Round your answer to the nearest thousandth.
Answer:
3.8918
round the 1 from the 8 to get 2
3.892
Rick bought some tetra fish and goldfish for his fish tank. He bought twice as many goldfish as he did tetras. Each goldfish costs $1.50, and each tetra fish costs $2.00. He spent $20 on the fish. Which system can be used to represent x, the number of tetra fish, and y, the number of goldfish, he purchased?
x = 2 y. 2 x + 1.5 y = 20
2 x = y. 2 x + 1.5 y = 20
x = y. 2 x + 1.5 y = 20
x + y = 20. 2 x + 1.5 y
Answer:
B. 2x = y; 2x +1.5y = 20
Step-by-step explanation:
The two given relations can be written as two equations, one for the numbers of fish, and one for their cost.
__
number of fishThe number of goldfish (y) is twice the number of tetras (x), so one equation can be ...
2x = y
cost of fishThe tetras (x) are $2 each, and the goldfish (y) are $1.50 each. Their total cost is the sum of products of the number of fish and the cost of each. That total is given as $20, so the other equation could be ...
2x +1.5y = 20
Then the appropriate system of equations is ...
2x = y2x +1.5y = 20_____
Additional comment
The solution can be found by substituting for 2x to get ...
y +1.5y = 20 . . . . . . substitute for 2x
y = 20/2.5 = 8 . . . . divide by the coefficient of y
x = y/2 = 4 . . . . . . . find the number of tetras
Rick bought 4 tetras and 8 goldfish.
__
The wording "twice as many goldfish as tetras" easily causes confusion. It is helpful to reword it as "goldfish were twice the number of tetras."
What is the y-intercept of this quadratic function f(I)=-i2+10i-22
The y-intercept of the quadratic equation is -47.
What is Quadratic Equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
Here, given quadratic equation;
f(i) = i² + 10i - 22
or, y = i² + 10i - 22
y = i² + 2.5x - (47-25)
y = i² + 2.5x + 25 - 47
y = (i+5)² - 47
Thus, the y-intercept of the quadratic equation is -47.
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Margo borrows $600, agreeing to pay it back with 7% annual interest after 8 months. How much interest will she pay?
The interest which has to be paid is $28.
Simple Interest amount can be estimated by the product of principal amount, rate of interest, and time in year.
Simple Interest= S.I. =p*t*r/100
where p is the principal amount,
r: interest rate (%)
t: the time (in year).
Here, given,
Margo has taken borrowed $600 with an annual interest of 7% which has to be paid within 8 months.
principal amount P = $600
rate of interest= r=7%
time=t=8 months= 2/3 year
using the above-mentioned formula,
Simple Interest S.I.= p*t*r/100= (600*(2/3)*7)/100= $28
Therefore the interest which has to be paid is $28.
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3xy - ² + 4x for x = -2, y = - and = 6?
Answer:
See below
Step-by-step explanation:
Not sure what you are asking....do you want to know what y is when x = -2 and the equation = 6 ?
3 xy^2 + 4x = 6 or is that 3 xy^(-2) + 4x = 6
Could use some serious editing of your question if you are able ....
A circle with center 0 and radius 5 has a central angle X O Y . If m ˆ X Y = 60 ∘ , what is the length of chord X Y ? Round your answer to the nearest whole number.
Answer: 5
Step-by-step explanation:
As all radii of a circle are congruent, [tex]\overline{OX} \cong \overline{OY}[/tex], it follows that [tex]\angle OXY \cong \angle OYX[/tex].
Because arc XY measures 60 degrees, we also know that [tex]m\angle XOY=60^{\circ}[/tex], and thus triangle OXY is equilateral.
Hence, XY=5 because all sides of an equilateral triangle are congruent.
solve the following inequality ( algebra 1 )
Answer:
m<1 OR m>7
Step-by-step explanation:
3m<5-2
3m<3
m<1
m+1>8
m>8-1
m>7
Answer:
m<1 or m>7
Step-by-step explanation:
3m + 2 < 5
3m + 2-2 < 5-2
3m < 3
[tex]\frac{3m}{3}[/tex] < [tex]\frac{3}{3}[/tex]
m < 1
[tex]\frac{m+1}{2}[/tex] > 4
[tex]\frac{m+1}{2}[/tex]*2 > 4*2
m +1 > 8
m +1 -1 > 8 -1
m > 7
A new element with atomic number 116 was discovered in 2000. In 2012 it was named livermorium, Lv. Although Lv is radioactive and short-lived, its chemical properties and reactivity should follow periodic trends.
a. Determine the electron configuration for the valence electrons of Lv in the ground state. (2 pts)
Answer:
7s²7p⁴
Step-by-step explanation:
Livermorium is located in the seventh period and sixteenth column of the periodic table. The noble gas configuration for livermorium is [Rn]7s²5f¹⁴6d¹⁰7p⁴. The valence electrons are the ones in the orbitals with the highest quantum number (coefficient). Remember, there can be up to 8 valence electrons at one time. Therefore, the valence electron configuration is 7s²7p⁴.
Let's check
116 is the atomic noElectronic configuration
1s²2s²2p⁶3s²3p⁶4s²3d¹⁰4p⁶5s²4d¹⁰5p⁶4f¹⁴6s²5d¹⁰6p⁶7s²5f¹⁴6d¹⁰7p⁴Valence electrons
7s²7p⁴what is 2/3 x 6/7 answer
Answer:
4/7
Step-by-step explanation:
2/3 × 6
7
4/7
and bro that's really it
please help me :((((((
Answer:
Answer D
Step-by-step explanation:
It says to divide f(x)/g(x), which is displayed in D and if we find the domain it would be x is not equal to -1/4
If AABC = ADEF, which congruences are true by CPCTC? Check all that
apply.
Answer: it's A, B, and D
Step-by-step explanation:
Consider the following hypothesis test: 0 : 12 a : 12 HH A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.32. a. Compute the value of the test statistic. b. Use the t distribution table to compute a range for the p-value. c. At a = 0.05, what is your conclusion? d. What is the rejection rule using the critical value? What is your conclusion?
a) The test statistic is given as t = [tex]\dfrac {14-12}{\dfrac{4.32}{\sqrt25}}}[/tex]= 2.315
b) The pa value will be P = P( t₂₄ > 2.315 ) = 0.015
c) If we compare the p-value and the significance level is given we see that so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 12 at 1% of significance
What is a null hypothesis?In null hypotheses, there is no relationship between the two phenomena under the assumption that it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
X= represents the sample mean
s = represent the sample standard deviation
n = 25 sample size
[tex]\mu_o[/tex] = 12 represent the value that we want to test
[tex]\alpha[/tex] = 0.05 represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
[tex]p_v[/tex] represent the p-value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean is higher than 12, the system of hypothesis would be:
Null hypothesis: ≤ 12
Alternative hypothesis: > 12
If we analyze the size for the sample is > 30 but we don't know the population deviation so is better to apply a t-test to compare the actual mean to the reference value, and the statistic is given by:
[tex]t=\dfrac{X-\mu_o}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to a specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
[tex]\dfrac {14-12}{\dfrac{4.32}{\sqrt25}}}[/tex]= 2.315
P-value:-
The first step is calculate the degrees of freedom, on this case:
df = n - 1 =25 - 1 = 2
Since is a one side right tailed test the p value would be:
[tex]p_v[/tex] = P( t₂₄ > 2.315 ) = 0.015
Conclusion
If we compare the p-value and the significance level is given [tex]\alpha[/tex]= 0.05 we see that [tex]p_v < \alpha[/tex] so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 12 at 1% of significance.
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Find the next number in the sequence: 10, 37, 82, 145, 226,
Answer:
325
Step-by-step explanation:
10 is 3^2 + 1
37 is 6^2 + 1
82 is 9^2 + 1
145 is 12^2 + 1
226 is 15^2 + 1
325 is 18^2 + 1
325 is the next number in the sequence and is also the answer.
Vikram drinks 6/10 of a litter of water after gym class and 33/100 of a litter of juice with his lunch Vikram says he drank a total of 39 hundredths of a litter. use the drop-down menus to explain why Vikram is not correct?
Answer: Vikram is not incorrect because he found the sum by adding the numerators and denominators
Step-by-step explanation: The first blank doesn't have a word so I answer it
I’m going to need a serious answer through this one or I’m screwed.
Answer:
A = 60 ft²
Step-by-step explanation:
the area (A) of the shaded sector is calculated as
A = area of circle × fraction of circle
= 90 × [tex]\frac{240}{360}[/tex]
= 90 × [tex]\frac{2}{3}[/tex]
= 30 × 2
= 60 ft²
Answer:
58.83 ft^2
Step-by-step explanation:
Finding the radius:
A = πr^2
90 = πr^2
90/π = r^2
28.6 = r^2
5.3 = r
Using the area of a sector of a circle formula:
θ/360 x πr^2
240/360 x π(5.3)^2
= 58.83 ft^2
Triangle P R Q is shown. Angle R P Q is 39 degrees. The length of P R is 6, the length of R Q is p, and the length of P Q is 8.
Law of cosines: a2 = b2 + c2 – 2bccos(A)
Which equation correctly uses the law of cosines to solve for the missing side length of TrianglePQR?
62 = p2 + 82 – 2(p)(8)cos(39°)
p2 = 62 + 82 – 2(6)(8)cos(39°)
82 = 62 + p2 – 2(6)(p)cos(39°)
p2 = 62 + 62 – 2(6)(6)cos(39°)
According to law of cosines the length of RQ can be written as [tex]p^{2} =6^{2} +8^{2} -2*6*8cos(39)[/tex].
Given the length PR is 6 , the length of RQ is p, the length of PQ is 8 and the angle RPQ is 39 degrees.
A length of the triangle can be written as according to law of cosines if sides are given and one angle is [tex]a^{2} =b^{2} +c^{2} -2bccos(A)[/tex]
We have to just put the values in the above equation.
as [tex]p^{2} =6^{2} +8^{2} -2*6*8cos(39)[/tex].
p is the side opposite to angle given , the length of other sides are 6 and 8 and angle is 39 degrees.
Hence the side can be written as according to law of cosines if the angle is 39 degrees is as [tex]p^{2} =6^{2} +8^{2} -2*6*8cos(39)[/tex].
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Answer: OPTION B
Step-by-step explanation:
edge22
Which equation has x-intercepts located at (-1,0) and (-5,0)?
A. y=(x + 1)(x - 5)
B. y=(x + 1)(x + 5)
C. y=(x-1)(x - 5)
D. y=(x-1)(x + 5)
Answer:
B. y = (x+1)(x+5)
Step-by-step explanation:
If the x-intercepts are (-1,0) and (-5,0), then the solutions (also called zeros and x-intercepts) are
x = -1 and x = -5
This is a "working backwards" kind of problem. If you were solving the equation, right before the final step, x=-1 would have been:
x + 1 = 0
Right before x=-5
would have been,
x + 5 = 0.
These two: x+1 and x+5 are called the linear factors. You multiply them back together to find the equation.
y = (x+1)(x+5)
Can someone help me find AB and BC
3x + 2x + 5 + 5x + 15 = 180 [angles on a line add to 180 degrees]10x + 20 = 180 [combine like terms]10x = 160 [subtract 20 from both sides]x = 16 [divide both sides by 10]
Arc AB measures 3(16) = 48 degrees.
Arc BC measures 2(16) + 5 = 41 degrees.
4x+7-(x+6)=68
Solve.
[tex]4x + 7 - (x + 6) = 68 \\ \\ 4x + 7 - x - 6 = 68 \\ \\ 3x + 1 = 68 \\ \\ 3x = 68 - 1 \\ \\ 3x = 67 \\ \\ x = \frac{67}{3} \\ \\ x = 22.3[/tex]
The value of x is 67/3 or 22.3 .
Hi!
__________________________________________________________
[tex]\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup[/tex]
x=
[tex]\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup[/tex]
First let's distribute the minus sign.
[tex]\twoheadrightarrow\sf 4x+7-x-6=68[/tex]
[tex]\bullet[/tex] Add 6 to both sides
[tex]\twoheadrightarrow\sf 4x+7-x=74[/tex]
[tex]\bullet[/tex] Subtract the x's
[tex]\twoheadrightarrow\sf 3x+7=74[/tex]
[tex]\bullet[/tex] Subtract 7 from both sides
[tex]\twoheadrightarrow\sf3x=67[/tex]
[tex]\bullet[/tex] Divide both sides by 3
[tex]\twoheadrightarrow\sf x=\cfrac{67}{3}[/tex]
[tex]\bullet[/tex] Great job! We solved for the variable
--
Hope that this helped! Best wishes.
[tex]\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}[/tex]
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