Answer:
3×5×7×11=1155
a.1155 the answer
3×5×7×11=1155
What are prime factors?A natural number other than 1 whose only factors are 1 and itself is said to have a prime factor. In actuality, the first few prime numbers are 2, 3, 5, 7, 11, and so forth.
Given
3×5×7×11=1155
To learn more about prime factors refer to:
https://brainly.com/question/1081523
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What is the slope-intercept equation of the line below?
-5
A. y = 3x + 4
B. y=-3x + 4
C. y=-3x-4
D. y = 3x - 4
Answer:
The answer is B. y=-3x+4
Step-by-step explanation:
Have a great day :)
14. Peter needs to buy a package of pencils to write his final exam. The store offers two packages.
Package 1: pack of 6 pencils for $1.68
Package 2: pack of 9 pencils for $2.34
Determine the cost per pencil. Which is the better deal? Round to 2 decimal places. Show all your work for full marks. (3 marks)
There are 3200 students at Lake High School and 2/5 of these students are sophomores. If 3/8 of the sophomores are opposed to the school forming a crew team and 1/8 of the remaining students (not sophomores) are also opposed to forming a crew team, how many students are in favor of this idea?
Answer:
4
Step-by-step explanation:
2/5*3000 = 1200 seniors
then
3000 - 1200 = 1800 students not seniors
therefore
4/5* 1200 = 960 do not like rock climbing
and
9/10** 1800 = 1620 also do not like it:
"how many students are in favor of this idea?"
subtract the "don't likes" from 3000
3000 - (960+1620) = 420 like rock climbing:
3x-x+2=4
Step-by-step explanation:
here's the answer to your question
[tex]x^4+2x^3-2x^2+2x-3=0\\[/tex]
Answer:
x=1
x=-3
Step-by-step explanation:
(x-1)(x^3 + 3x^2 +x +3) = 0
(x-1)( x+3)(x^2 +1)=0
If the blue radius below is perpendicular to the chord AC which is. 14 units long, what is the length of the segment AB?
Answer:
C. 7 units
Step-by-step explanation:
The given parameters are;
The length of the chord of the circle, [tex]\overline{AC}[/tex] = 14 units
The orientation of the radius and the chord = The radius is perpendicular to the chord
We have in ΔAOC, [tex]\overline{AO}[/tex] = [tex]\overline{OC}[/tex] = The radius of the circle
[tex]\overline{OB}[/tex] ≅ [tex]\overline{OB}[/tex] by reflexive property
The angle at point B = 90° by angle formed by the radius which is perpendiclar to the chord [tex]\overline{AC}[/tex]
ΔAOB and ΔCOB are right triangles (triangles having one 90° angle)
[tex]\overline{AO}[/tex] and [tex]\overline{OC}[/tex] are hypotenuse sides of ΔAOB and ΔCOB respectively and [tex]\overline{OB}[/tex] is a leg to ΔAOB and ΔCOB
Therefore;
ΔAOB ≅ ΔCOB, by Hypotenuse Leg rule of congruency
Therefore;
[tex]\overline{AB}[/tex] ≅ [tex]\overline{BC}[/tex] by Congruent Parts of Congruent Triangles are Congruent, CPCTC
[tex]\overline{AB}[/tex] = [tex]\overline{BC}[/tex] by definition of congruency
[tex]\overline{AC}[/tex] = [tex]\overline{AB}[/tex] + [tex]\overline{BC}[/tex] by segment addition postulate
∴ [tex]\overline{AC}[/tex] = [tex]\overline{AB}[/tex] + [tex]\overline{BC}[/tex] = [tex]\overline{AB}[/tex] + [tex]\overline{AB}[/tex] = 2 × [tex]\overline{AB}[/tex]
∴ [tex]\overline{AB}[/tex] = [tex]\overline{AC}[/tex]/2
[tex]\overline{AB}[/tex] = 14/2 = 7
[tex]\overline{AB}[/tex] = 7 units.
Answer:
7 units
Step-by-step explanation:
A woman deposits 100 EUR in her daughter's bank account on her first birthday. On every subsequent birthday, she deposits 10 EUR more than she deposited the previous year, so on her second birthday, she deposits 110 EUR, and on her third birthday she deposits 120 EUR.
By the time her daughter is 21 years old, how much money has been deposited in her account?
Answer:
By the time her daughter is 21 years old 300 EUR will have been deposited into the account.
Step-by-step explanation:
Since a woman deposits 100 EUR in her daughter's bank account on her first birthday, and on every subsequent birthday, she deposits 10 EUR more than she deposited the previous year, so on her second birthday, she deposits 110 EUR, and on her third birthday she deposits 120 EUR, to determine, by the time her daughter is 21 years old, how much money has been deposited in her account, the following calculation must be performed:
100 + (20 x 10) = X
100 + 200 = X
300 = X
Therefore, by the time her daughter is 21 years old 300 EUR will have been deposited into the account.
find the missing side
Answer:
x ≈ 13.7
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos70° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{40}[/tex] ( multiply both sides by 40 )
40 × cos70° = x , then
x ≈ 13.7 ( to the nearest tenth )
complete the statements about the closure of sets
Answer:
Step-by-step explanation:
The first box is 'not closed'
Second is ' an element'
Third = 'closed' and last is 'an element'.
Simplify: (3p-4)^2+8(3p-2)
Answer:
3p^2 - 12p - 12p + 16 + 24p - 16
3p^2 -24p +24
p^2 -8p +8
3. In a primary election, 35% of voters voted for Goron, 15% voted for Smith, 40% voted for Fishman, and 10% voted for other candidates. (a) It was estimated that 280 people were going to vote. If this was true, how many people would have voted for Goron? Show your work. (b) Forty people voted for "Other." Was the estimate of total voters from Part (a) accurate? Explain.
Answer:
98 ppl voted for Gordan
Step-by-step explanation:
a) 35% of 280=98
b) 15% of 280=42
40% of 280=112
10% of 280=28
Add 98, 42, 112, and 28 and you get 280! Hope this helps :)
the sum of four consecutive even numbers is 1052. find these numbers
Answer:
Answer is down below.
Step-by-step explanation:
To find the answer, we will have to use basic Algebra in order to view the solution.
Let the first number be = x
Let the second number be = x+2
Let the third number be= x+4
Let the fourth number be= x+6
(We did the x+ part because consecutive means following continuously..)
Now let's put the equation:
x+x+2+x+4+x+6 = 1052
Let's add all the variables and numbers separately in order to simplify:
4x+12 = 1052
Subtract 12 on both sides.
4x = 1040
Divide 4 on both sides
x = 260
Now, we know the value of x. Let's put it in our numbers.
Let the first number be = x = 260
Let the second number be = x+2 = 262
Let the third number be= x+4 = 264
Let the fourth number be+ x+6 = 266
Now, let's double check to see if our answers are correct.
260+262+264+266 = 1052
Valla! They are.
Hope this Helps! Please Mark Brainliest!
please help!! i have no idea!
Answer:
Step-by-step explanation:
I think that you cut off the leading number in the BD segment 8cm appears to be truncated....
if that number was in the image....
BC would be sqrt(52.3 ^2 + ?.8^2)
if you have BC then
sin(θ)/BC = sin(90)/18.6
what is the height of the water prism
Answer:
32 because I Don't know please vote my answer please
Answer:
12 (10) cm 937 637 = hafe 2929888389292822
please help! look at picture!
Answer:
[tex]\frac{9}{8} = 1 \frac{1}{8}[/tex]
Step-by-step explanation:
2 [tex]\frac{7}{8}[/tex] = [tex]\frac{23}{8}[/tex]
1[tex]\frac{3}{4}[/tex] = [tex]\frac{7}{4}[/tex] = [tex]\frac{14}{8}[/tex]
[tex]\frac{23}{8}[/tex] -[tex]\frac{14}{8}[/tex] = [tex]\frac{9}{8} = 1 \frac{1}{8}[/tex]
Hey there! For this you will need to use the rule of subtracting fractions. 4 (the denominator) x 2 (to make it them equal) is 8. 3 x 2 is 6. The new fraction is 1 and 6/8. Now, subtract these to get your final answer, 1 and 1/8.
Hope this helps!
Find the area of the triangle.
Answer:
B
Step-by-step explanation:
area=1/2×32×6.1=16×6.1=97.6 yd²
Answer:
Choice B. 97.6 yd^2
Step-by-step explanation:
B×W×.5= A
The sum of two numbers is 78. Their difference is 32. Write a system of equations that describes this situation. Solve by elimination to find the two numbers. x + y = 32 y – x = 78 50 and 24 x – y = 78 x + y = 32 54 and 24 x + y = 78 x – y = 32 55 and 23
Answer:
55, 23, x+y =78; x-y =32
Step-by-step explanation:
-the system of equation
x+y = 78
x-y = 32
-solve by elimination
x-y = 32, add y to both sides
x= y+32
x +y =78, substitute x= y+32
y+32+y = 78, subtract 32 from both sides
y+y = 78-32, combine like terms
2y = 46, divide both sides by 2
y = 23
x +y =78, substitute y = 23
x+ 23 =78, subtract 23 from both sides
x = 78-23, combine like terms
x = 55
Answer:
The equation:
x + y = 78
x - y = 32
The answers:
x= 55
y = 23
Step-by-step explanation:
Call the first number (x) and the second number (y). Take is as a given that (x) is larger than (y). One is given the following information:
"The sum of two numbers is 78"
"Their difference is 32"
Rewrite this in numerical terms:
x + y = 78
x - y = 32
The process of elimination is a way of solving a system of equations. First one manipulates one of the equations such that one variable has an inverse coefficient of its like term in the other equation. This step one does not need to be performed, as the coefficients of the term (y) are inverses in the equations. Next, one adds the equations. Then one uses inverse operations to solve for the remaining variable. Finally, one back solves for the value of the eliminated variable by substituting the value of the solved variable into one of the equations, and simplifying.
Add the equations,
x + y = 78
x - y = 32
____________
2x = 110
Inverse operations,
2x = 110
x = 55
Back solve,
x + y = 78
x = 55
55 + y = 78
y = 23
In a survey of 250 people, 180 like farming. 120 like civil service and every people like at least one occupation. Draw a Venn-diagram and find the number of people who like farming as well as civil service. Also, find how many people like only civil service.
Answer:
180+120-250=50
........
Find the length of CB
.
Answer:
CB = 7
Step-by-step explanation:
CB = CK
5x - 3 = 3x + 1
5x - 3x = 1 + 3
2x = 4
x = 4 / 2
x = 2
CB = 5x - 3
= 5 ( 2 ) - 3
= 10 - 3
CB = 7
Answer:
CB = 7
Step-by-step explanation:
since the 2 triangles are AAS (B, K, E, CE as shared side) proven congruent, CB and CK must have the same length.
5x - 3 = 3x + 1
2x = 4
x = 2
CB = 5x - 3 = 5×2 - 3 = 10 - 3 = 7
what is the solution to the equation below? sqrt x-7 = 5
A. 144
B. 12
C. 2
D. 4
Answer:
I think the answer is B.12
If this not correct, Sorry.
Working together, Nadia and Olivia can clean a horse stable in 8 hours. Had Nadia cleaned it alone, it would have taken her 12 hours Find out how long it would take Olivia to clean the horse stable by herself.
Answer:
24 hours
Step-by-step explanation:
The formula is
1/a + 1/b = 1/c where a and b are the times alone and c is the times together
1/12 + 1/b = 1/8
Multiply by 24b to clear the fractions
24b(1/12 + 1/b = 1/8)
2b + 24 = 3b
Subtract 2b from each side
2b +24-2b = 3b-2b
24 = b
Five friends raced each other. Bill finished next to last. John finished behind Bill. Al finished after Clark and before Tony. Which friend finished third?
Answer:
Tony
Step-by-step explanation:
PLS HELP ME WITH THIS IM FAILING TERRIBLY PLS ITS PYTHAGOREAN THEOREM
Answer:
5.7
Step-by-step explanation:
9^2=x^2+7^2
Solving for x we get 81 - 49 which is 32.
The square root of 32 rounds to 5.7
Find the place value of 8 in 2456.1387.
Tenths
Hundredths
Thousandths
Thousands
Answer: Third Choice. Thousandths
Step-by-step explanation:
Concept:
Here, we need to know the order and name of each place value.
Please refer to the attachment below for the specified names.
Solve:
STEP ONE: Orde and name each place
2 ⇒ One Thousands
4 ⇒ Hundreds
5 ⇒ Tens
6 ⇒ Ones
.
1 ⇒ Tenths
3 ⇒ Hundredths
8 ⇒ One Thousandths
7 ⇒ Ten Thousandths
STEP TWO: Find the number [8] in the number
As we can see from the list above, 8 is at the right of the decimal point, thus, the place value is Thousandths.
Hope this helps!! :)
Please let me know if you have any questions
Help me solve this please I’m struggling
9514 1404 393
Answer:
9.5maximum, 34.5, 510.9Step-by-step explanation:
I find it convenient to use a graphing calculator to graph the function.
The "start" is x=0, where the distance from the sprinkler head is 0 feet. The value of h(0) is 9.5, the height of the sprinkler head.
The irrigation system is positioned 9.5 feet above the ground.The graph shows the vertex of the curve is (5, 34.5), meaning that a height of 34.5 feet is reached 5 feet horizontally from the sprinkler.
The spray reaches a maximum height of 34.5 feet at a horizontal distance of 5 feet away from the sprinkler head.The spray reaches all the way to the ground at about 10.9 feet away.The graph shows the x-intercept at about 10.9. That is where the height of the spray is 0 feet above the ground.
The zeros of a quadratic function are 6 and -4. Which of these choices could be the function?
A.
f(x) = (x + 6)(x + 4)
B.
f(x) = (x + 6)(x − 4)
C.
f(x) = (x − 6)(x + 4)
D.
f(x) = (x − 6)(x − 4)
Answer:
C
Step-by-step explanation:
If x = a is a zero of f(x) then (x - a) is a factor of f(x)
Here the zeros are x = 6 and x = - 4 then the corresponding factors are
(x - 6) and (x - (- 4) ) , that is (x - 6) and (x + 4)
Then f(x) is the product of the factors
f(x) = a(x - 6)(x + 4) ( a is a multiplier )
If a = 1 , then
f(x) = (x - 6)(x + 4) ← is a possible choice → C
Answer:
С.
Step-by-step explanation:
f(x) = (x − 6)(x + 4)
x-6=0
x1=6
x+4=0
x2=-4
Use the markings in the image to answer the following questions (drawing not to scale):
[image attached]
a. As you look at sides and , which side lengths are possible to calculate based on the information in the image?
b. For those side lengths which are possible to calculate, what steps would you take to calculate each side?
c. For those side lengths we don’t have enough information to calculate, what information would you need to complete the calculations?
Hope this helps!
There are 3 images with full explanation
Please help me solve this short problem guys
Answer:
Step-by-step explanation:
Given equation of the quadratic function is,
y = x² + 5x - 7
Convert this equation into vertex form,
y = x² + 2(2.5x) - 7
= x² + 2(2.5x) + (2.5)² - (2.5)² - 7
= (x + 2.5)²- 6.25 - 7
= (x + 2.5)² - 13.25
Therefore, vertex of the function is → (-2.5, -13.25)
For the solutions,
y = 0
(x + 2.5)² - 13.25 = 0
x = (±√13.25) - 2.5
x = (±3.64) - 2.5
x = 1.14, -6.14
Solutions → (-6.14, 0) and (1.14, 0)
A sample of 50 observations is taken from an infinite population. The sampling distribution of : a.is approximately normal because of the central limit theorem. b.cannot be determined. c.is approximately normal because is always approximately normally distributed. d.is approximately normal because the sample size is small in comparison to the population size.
Answer:
a.is approximately normal because of the central limit theorem.
Step-by-step explanation:
The central limit theorem states that if we have a population with mean μ and standard deviation σ and we take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed.
For any distribution if the number of samples n ≥ 30, the sample distribution will be approximately normal.
Since in our question, the sample of observations is 50, n = 50.
Since 50 > 30, then our sample distribution will be approximately normal because of the central limit theorem.
So, a is the answer.
Câu 2. Cho hình thang cân ABCD (AB // CD, AB CD). Gọi O là giao điểm của AD và BC, E là giao điểm của AC và BD. Chứng minh rằng: | a) Tam giác AOB cân ở O.
b) Các tam giác ABD và BAC bằng nhau. C) EC = ED
d) OE là trung trực của AB và CD.
Answer:
Step-by-step explanation:
plsssssssssssssss help meeee
Answer:
64 vs. 4 so 60 extra people
Step-by-step explanation:
Answer:
I think 60 more people
Step-by-step explanation:
You just plug in p for period 4 and period 2 then solve for N. Then it's asking for how many more in pd 4 then 2 which is 60, I think..
