Hey there! :)
Answer:
Third option. x = 2, and x = 4.
Step-by-step explanation:
Find the zeros of this quadratic equation by factoring:
f(x) = x² - 6x + 8
Becomes:
f(x) = (x - 4)(x - 2)
Set each factor equal to 0 to solve for the roots;
x - 4 = 0
x = 4
x - 2 = 0
x = 2
Therefore, the zeros of this equation are at x = 2, and x = 4.
Answer:
x=4 x=2
Step-by-step explanation:
f(x) = x^2 − 6x + 8
To find the zeros, set equal to zero
0 = x^2 − 6x + 8
Factor
What 2 numbers multiply to 8 and add to -6
-4*-2 = 8
-4+-2 = -6
0 = ( x-4) (x-2)
Using the zero product property
x-4 =0 x-2=0
x=4 x=2
On a block of ten houses, k are not insured. a tornado randomly damages three houses on the block. the probability that none of the damaged houses are insured is 1/120. calculate the probability that at most one of the damaged houses is insured.
Answer:
[tex]P=0.1833[/tex]
Step-by-step explanation:
The number of ways or combinations in which we can choose x elements from a group of n is calculated as:
[tex]nCx=\frac{n!}{x!(n-x)!}[/tex]
So, the probability that none of the damaged houses are insured can be calculated as:
[tex]\frac{kC3}{10C3}=\frac{kC3}{120}[/tex]
Because there are 120 ways to select 3 houses from the block of 10 houses and there are kC3 ways to select 3 houses from a group of k houses that are not insured.
The probability that none of the damaged houses are insured is 1/120, so:
[tex]\frac{kC3}{120}=\frac{1}{120}\\ kC3=1[/tex]
kC3 is equal to 1, only if k is equal to 3. It means that there are 3 houses that are not insured.
Then, the probability that one of the damaged houses is insured can be calculated as:
[tex]\frac{3C2*7C1}{10C3}=0.175[/tex]
Because we select 2 houses from the 3 that are not insured and select 1 house from the 7 that are insured.
Finally, the probability that at most one of the damaged houses is insured is equal to the sum of the probability that one of the damaged houses is insured and the probability that none of the damaged houses is insured. It is equal to:
[tex]P=\frac{1}{120}+0.175=0.1833[/tex]
Find the area of the shape shown below.
Answer:
31.5
Step-by-step explanation:
To find the area of this shape we must divide it into 2 parts :
Part 1 : the triangle Area= (3*(7/2))/2= 10.5 Part 2: the rectangle Area = 7*3 = 21 The total area is : A= 21+10.5=31.5what's the best prouduct of these fractions 4/7×8/9×14/15
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▹ Answer
448/945
▹ Step-by-Step Explanation
[tex]\frac{4}{7} * \frac{8}{9} \\\\= \frac{32}{63} \\\\\\\frac{32}{63} * \frac{14}{15\\} \\\\= \frac{448}{945}[/tex]
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
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Answer:
Step-by-step explanation:
4/7×8/9×14/15
= 64/135
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer: B. H(t) = -6.9(t - 2.3)² + 112
Step-by-step explanation:
The vertex form of a quadratic equation is: y = a(x - h)² + k
where (h, k) is the vertex ⇒ k is the maximum height
the distance traveled is when y = 0 ⇒ [tex]x=\sqrt{\dfrac{-k}{a}}+h[/tex]
Given: H(t) = -7.1(t - 2.3)² + 98
maximum height (k) = 98 feet
distance traveled (x) = [tex]\sqrt{\dfrac{-98}{-7.1}}+2.3[/tex] = 6.02 seconds
A) H(t) = -7.5(t - 2.2)² + 112
maximum height (k) = 112 feet
distance traveled (x) = [tex]\sqrt{\dfrac{-112}{-7.5}}+2.2[/tex] = 6.06 seconds
B) H(t) = -6.9(t - 2.3)² + 112
maximum height (k) = 112 feet
distance traveled (x) = [tex]\sqrt{\dfrac{-112}{-6.9}}+2.3[/tex] = 6.33 seconds
C) H(t) = -6.9(t - 2.4)² + 95
maximum height (k) = 95 feet
This has a lower height than the given equation.
D) H(t) = -7.5(t - 2.3)² + 95
maximum height (k) = 95 feet
This has a lower height than the given equation.
Both options A and B travel higher and stay in the air longer than last year's winner, however option B stays in the air longer than option A.
Which option or options is correct?
All of them are true.
A: Rule.
B: There exist such functions f and g that satisfy the equality.
C: According to (A) this is acceptable.
D: Rule.
Hope this helps.
Answer:
D part
Step-by-step explanation:
can someone help me solve this
How many one-half cubes with dimensions of 1/2x1x1 fit in a unit cube? 1
2
4
6
Answer:
Option 2
Step-by-step explanation:
A cube with 1/2 * 1* 1 will have a volume of 0.5 cubic cm
While a unit cube has a volume of 1 cubic cm
So,
2 cubes of these dimensions can fit into a unit cube.
Answer:
2
Step-by-step explanation:
volume of the unit cube:
V = 1 * 1 * 1 = 1
volume of the half-cube:
V = 1/2 * 1 * 1 = 1/2
number of half cubs that fit in unit cube:
1/(1/2) = 2
Answer: 2
What is 1/2 + 1/3 + 1/4 - (.2 +.3 +.4)? Express your solution as a simplified fraction.
Answer:
2
Step-by-step explanation:
1/2+1/3+1/4 - 0.9
0.9 = 9/10
So, 1/2+1/3+1/4+9/10
The LCD is 60:
30/60+20/60+15/60+54/60 = 120/60
120/60 = 2
PLEASE MARK ME BRAINLIEST!
Answer:
2
Step-by-step explanation:
ASAP Josh and Leon have £73 in total. They each spend £5. Josh now has 25% more than Leon. How much more money did Josh have than Leon at the start?
Answer:
£7
Step-by-step explanation:
Let's call Josh's money 'J' and Leon's money 'L'.
Then, we can write the following system of equations:
[tex]J + L = 73[/tex]
[tex](J - 5) = 1.25(L - 5)[/tex]
From the first equation, we have:
[tex]J = 73 - L[/tex]
Using this value of 'J' in the second equation, we have:
[tex](73 - L - 5) = 1.25(L - 5)[/tex]
[tex]68 - L = 1.25L - 6.25[/tex]
[tex]2.25L = 74.25[/tex]
[tex]L = 33[/tex]
[tex]J = 73 - L = 73 - 33 = 40[/tex]
At the start Josh has £40 and Leon has £33, so the difference is:
[tex]J - L = 40 - 33 = 7[/tex]
Robbie scores 78 in his test, Adam scores 54. By how much percentage% is Robbie's score better than Adam's? Please give a step-by-step explanation, thanks
Answer:
44%
Step-by-step explanation:
1% of 54 is 0.54
78/0.54=144.444444
-100% b/c that's the base
44% better
When it is 4:00 a.m. in Honolulu, it is 2:00 p.m. in London. Just before Paul’s flight from Honolulu to London, he called his friend Nigel, who lives in London, asking what kind of clothing to bring. Nigel explained that London was in the middle of some truly peculiar weather. The temperature was currently 30°C, and was dropping steadily at a rate of 1°C per hour. Paul’s flight left Honolulu at 12:00 p.m. Thursday, Honolulu time, and got into London at 1:00 p.m. Friday, London time. What kind of clothing would have been appropriate for Paul to be wearing when he got off the plane?
Answer:
Paul should be wearing a light jacket appropriate for about 59 F or 15 °C
Step-by-step explanation:
If it is 4:00 a.m. in Honolulu when it is 2:00 p.m. in London, then the difference between times is:
[tex]d=14-4\\d=10\ hours[/tex]
London is 10 hours ahead of Honolulu.
If Paul left Honolulu at 12:00 p.m, the corresponding time in London was:
[tex]t=12+10\\t=22 = 10:00\ p.m.[/tex]
Since he arrived in London at 1:00 p.m. at Friday, the flight time was:
[tex]F= (24-22)+13\\F=15\ hours[/tex]
The flight took 15 hours in total. If the temperature was 30°C when he boarded the flight and it decreases at a rate of 1°C per hour, the temperature when Paul arrives in London is:
[tex]T=30-(15*1)\\T=15^oC[/tex]
Converting it to Fahrenheit
[tex]T=(15*\frac{9}{5})+32 \\T=59\ F[/tex]
Paul should be wearing a light jacket appropriate for about 59 F or 15 °C
Answer:
d
Step-by-step explanation:
Hope is a single taxpayer who earns $45,000 per year in taxable income working as a salesperson. She has $200 in long-term capital gains on an investment that cost her $4,250 to purchase. Compute the tax on her investment to determine the after-tax return on investment (ROI).
A. 3%
B. 4%
C. 5%
D. 7%
E. 8%
Answer:
B. 4%
Step-by-step explanation:
Since Hope earns $45,000 per year in taxable income, she falls under the second tax bracket (income higher than $40,000) for long term capital gains = 15%.
Her total capital gain was $200 x (1 - 15%) = $170 in net after tax earnings
her return on investment = net after tax earnings / total investment = $170 / $4,250 = 0.04 = 4%
Answer: 4%
Step-by-step explanation:
If m∠VWA=120∘ and m∠BWC=(32x−27)∘, what is the value of x?
Answer:
Value of x = 4.6 (Approx)
Step-by-step explanation:
Note:
The statement in given question is missing that both angles are congruent.
Given:
m∠VWA = 120°
m∠BWC = (32 x - 27)°
Find:
Value of x
Computation:
We know that,
⇒ m∠VWA = m∠BWC
⇒ 120 = 32x - 27
⇒ 120 + 27 = 32x
⇒ 147 = 32x
⇒ x = 147 / 32
⇒ x = 4.59375
x = 4.6 (Approx)
the sum of 4 and the second power of b is equal to 104. write as an equation
Answer:
4 + b² = 104
Hope this helps. :)
Answer:
b^{2} + 4 = 104.
Step-by-step explanation:
The sum of 4 and the second power of b basically means 4 + b^2.
b^2 + 4 = 104
[tex]b^{2} + 4 = 104[/tex]
b^2 = 100
b = plus or minus 10.
Hope this helps!
A point A is graphed at (0, 5). Complete the coordinates of a shape that can be rotated about the y-axis to create a cone. Provide an explanation for your answer please
Answer:
(0, 5), (0, 1), and (3, 1).
Step-by-step explanation:
If the shape should be rotated about the y-axis to make a cone, then the shape needs to be a right triangle. It will have its length on the y-axis, and the other length either parallel to, or on, the x-axis.
Since we already have a point at (0, 5), we can have another point at (0, 1). That means that the side length is 4. Now, we can make a 3-4-5 right triangle by having another point at (3, 1).
Hope this helps!
Can someone help me with this question please
Please help; thank you! :D ((I would offer some points, but I'm new and I don't know how that works lol))
Answer/Step-by-step explanation:
Given that the side length of a squared field is represented by the expression 3 - 7x,
a. Perimeter of the squared field (expressed as a sum):
Permimeter of a square = s + s + s + s
All sides of a square are of equal length.
s = side length of the squared field = 3 - 7x
Thus,
Perimeter expressed as a sum = (3-7x) + (3-7x) + (3-7x) + (3-7x)
b. Permitted of squared field expressed as a product:
Perimeter of square expressed as product = 4(s)
s = side length of squared field = 3 - 7x
Permimeter of squared field expressed as a product = 4(3 - 7x)
c. An equivalent expression for the product in (b) can be written using the distributive property as follows:
Perimeter = 4(3 - 7x)
Perimeter = 4(3) - 4(7x)
What is the name of the map maker who, according to some, gave Venezuela its name? Salvador Dali Christopher Colombus Amerigo Vespucci Leonardo Da Vinci
The answer is C. Amerigo Vespucci
Explanation:
Venezuela is a South-American country that was first discovered and colonized by Spanish explorers. This process included multiple expeditions that allowed colonizers to better understand the features of the territory and native people. One of these expeditions that took place in 1499, included the Italian mapmaker, Amerigo Vespucci. About this, it is claimed he considered the territory and the houses found near a lake resemble Venice, and due to this, he named the territory as "Veneziola", which later changed to the modern name Venezuela.
Answer:
c c a d c
Step-by-step explanation:
answers to the quiz edge got 100% source trust bro
Which one doesn’t belong and why?
i think y= b^x because it is only the odd one from the group
Simplify 2a(b + a) - 2b(b - a)
Answer:
[tex]4ab + 2 {a}^{2} - 2 {b}^{2} [/tex]Step-by-step explanation:
[tex]2a(b + a) - 2b(b - a)[/tex]
Expand by distributing terms:
[tex]2ab + 2 {a}^{2} - (2 {b}^{2} - 2ba)[/tex]
Remove parentheses:
[tex]2ab + 2 {a}^{2} - 2 {b}^{2} + 2ba[/tex]
Collect like terms:
[tex]2ab + 2ba + 2 {a}^{2} - 2 {b}^{2} [/tex]
Simplify:
[tex]4ab + 2 {a}^{2} - 2 {b}^{2} [/tex]
Hope this helps...
Good luck on your assignment...
A box plot is shown below: *check file attached* What is the median and Q1 of the data set represented on the plot? A. Median = 30; Q1 = 20 B. Median = 33; Q1 = 20 C. Median = 30; Q1 = 25 D. Median = 33; Q1 = 25
Hey there! I'm happy to help!
A box and whisker plot is a super useful tool for finding these kinds of data!
The ends of the whiskers represent the maximum and minimum point in the data set. With this plot, we can immediately see that the maximum is 44 and the minimum is 20.
Then, we have a box. The edges of the box represent the 1st and 3rd quartiles. The 1st quartile is the median or middle of the first half of the data set and the 3rd quartile is the median of the second half. We see that the 1st quartile is 25 because the left edge of the box aligns with 25. The 3rd quartile is 39 by looking at the plot.
The median is the middle number of the data set. The median is represented by the line that splits the box. We see that the median is 33 by looking at the plot.
So, by interpreting the box and whisker plot, we see that the answer is D. Median=33; Q1=25.
Now you can interpret box and whisker plots! Have a wonderful day! :D
Xiao Duo and Xiao Hua have the same number of balloons. After Xiaoduo used 16 balloons, Xiaohua's balloons were 3 times that of Xiaoduo. How many balloons does Xiaohua have?
Answer:
Step-by-step explanation:
Let the number of balloons be X
Xiao Duo = X
Xiao Hua = X
Xiaoduo used 16 balloons = x - 16
Xiaohua balloons x = 3 ( x - 16)
x = 3x - 48
Collect like terms
48 = 3x - x
48 = 2x
Divide both sides by 2
48/2= x
x = 24
Xiaohua has 24 balloons
the ratio 2.5m to 60cm can be written in the form 1:n find the value of n. someone please help asap
Answer:
1 : 6/25
Step-by-step explanation:
Convert 2.5 meters to cm
We know 100 cm = 1m
2.5 m * 100cm / 1m = 250 cm
250 cm : 60 cm
Divide by 250
250/250 = 60/250
1 : 6/25
or as a decimal
1 : .24
When a number is added to n plus StartFraction 1 Over 5 EndFraction n equals 24. Of itself, the result is 24. The equation that models this problem is n + n plus StartFraction 1 Over 5 EndFraction n equals 24.N = 24. What is the value n? n = 18 n = 20 n = 21n equals 23 and StartFraction Over 5 EndFraction 5 n = 23n equals 23 and StartFraction Over 5 EndFraction 5
Answer: n = 20
Step-by-step explanation:
Given that the problem goes thus:
When a number, n is added to 1/5 n of itself, the outcome obtained is 24.
Mathematically,
n + 1/5 of n = 24
n + (1/5n) = 24
1n + 1/5n = 24
(5n + 1n) / 5 = 24
6n / 5 = 24
6n = 24 × 5
6n = 120
n = 120 / 6
n = 20
Answer:
B on edg, n=20
Step-by-step explanation:
There are 130 people in a sport centre, 73 people use the gym, 62 people use the swimming pool, 58 people use the track, 22 people use the gym and pool, 29 people used the pool and track, 25 people use the gym and track, 11 people use all three facilities, how many people use at least two facilities
Answer:
59/130
Step-by-step explanation:
degree 4, x=-1, x=1/5 are both zeros with multiplicity 2. What is the expression for the plynomial p(x) with these numbers?
Answer:
p(x) = (x + 1)²(5x - 1)²
Step-by-step explanation:
Since we are given the 2 zeroes, we put them into binomial form:
(x + 1)(5x - 1)
We are also given that we have the polynomial degree of 4, and both zeroes have a multiplicity of 2. Therefore, both roots are powered by 2:
(x + 1)²(5x - 1)²
When we multiply it out, we should get a polynomial with a degree of 4.
A father is 38 years old, his sons are 13 and 5 years old, and his daughter is 8 years old. In how many years will the father be the same age as his children put together?
Answer: 6
Step-by-step explanation:
38+x= 13+5+8+x
38+x=26+x
38-26=2x
12=2x
x=6
What is the simplified expression fro -3cd-d(2c-4)-4d
Answer:
-5cd
Step-by-step explanation:
-3cd-2cd+4d-4d
-3cd-2cd=-5cd
4d-4d=0
=-5cd
Answer:
-5 cdSolution,
[tex] - 3cd - d(2c - 4) - 4d \\ = - 3cd - 2cd + 4d - 4d \\ = - 5cd[/tex]
Hope this helps...
Good luck on your assignment..
Question 15 PLEASE HELP Find the y-intercepts of -x+2y=12. Y-intercept: (0,___)
Answer:
(0,6)
Step-by-step explanation:
**BRAINLIEST IF ANSWERED**
Which equation represents a circle that has a diameter of 10 units and a
center at (4,-1)?
(x+4)^2+(y+1)^2=5
(x-4)^2+(y+1)^2=5
(x-4)^2+(y+1)^2=25
(x+4)^2+(y-1)^2=10
Answer:
third option
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (4, - 1) and r = 10÷ 2 = 5, thus
(x - 4)² + (y - (- 1))² = 5², that is
(x - 4)² + (y + 1)² = 25 ← equation of circle