Answer:
Sequence number is a list of numbers that are linked by rule.
1. 6/5 x 3/4
2. 2/3 x 8/5
3. 5/2 x 4/3
Answer:
hope this might help you
Klog earns $6.30 per hour. He worked 3.5 hours each day Monday through Friday plus 4 on Saturday. How much did he earn altogether?
Answer:
Klog earned $135.45 altogether.
Step-by-step explanation:
Hours
Monday - Friday : 5 days / 3.5 hours
Saturday : 1 day / 4 hours
3.5 · 5 + 4
= 17.5 + 4
= 21.5
Money
$6.30 per hours / 21.5 hours
6.30 · 21.5
= $135.45
Find an equation of the line having the given slope and containing the given point m= - 8, (2,5) The equation of the line is y= (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the expression)
Answer:
Equation of line is y = -8x + 21
Step-by-step explanation:
Slope, m = -8
General equation of line:
[tex]{ \boxed{ \bf{y = mx + c}}}[/tex]
At point (2, 5), y = 5 and x = 2:
[tex]{ \tt{5 = ( - 8 \times 2) + c}} \\ { \tt{c = 21}}[/tex]
Therefore:
[tex]{ \sf{y = - 8x + 21}}[/tex]
[tex]{ \underline{ \blue{ \sf{christ \:† \: alone }}}}[/tex]
I need help with VOCAB!!!Please help ASAP
Answer:
SSS postulate
Step-by-step explanation:
its probab;py wrong im sorry
Answer:
SSS Postulate
Step-by-step explanation:
Since both triangles have 3 congruent sides, then
The triangles are congruent by the SSS postulate
A number is doubled and 7 is subtracted from the answer, if the result is -25.
-create an equation
-solve the equation to find the number
Please Respond
20
2, Nine people fit comfortably in a 3 ft. by 3 ft. area. Use this value to
estimate the size of a crowd that is 8 yards deep and 1 mile long.
Determine the Area of the crowd?
A. Area = 3 feet x 3 feet
B. Area = 8 yards v 1 mile = (8 x 3 feet) x (1 x 5280 feet)
C. Area = 24 feet x 1 feet.
D. Area = 8 feet x 5280 feet
.
Answer:
B
Step-by-step explanation:
8 yards = 3 * 8 = 24 ft^2
1 mile = 5280
3*3 = 9 square feet
9 square feet holds 9 people.
1 square foot holds 1 person
8*3 * 5280 people could stand in an area of 8 yards * 1 mile
Though it's not quite correct, the answer is B
a teacher had 23 pupils to her class. all but 7 of them went on an excursion trip and thus were away for the day. how many students remains in the class that day.
Answer:
16
Step-by-step explanation:
If the teacher had 23 but then 7 had to go away for a trip, then all you do is subtract 23 and 7:
23-7= 16
Thus, the teacher had 16 students that day after the 7 went away.
square of 2x+3y.Please help me
Answer:
(2x+3y)^2
= (2x)^2 + 2(2x)(3y) + (3y)^2
= 4x^2 + 12xy + 9y^2
Answer:
4x^2 12xy +9y^2
Step-by-step explanation:
(2x+3y)^2
(2x+3y)(2x+3y)
FOIL
4x^2 + 6xy+6xy + 9y^2
4x^2 12xy +9y^2
Numeric Response 4. In an arithmetic series, the first term is -12 and the 15th term is 40. The sum of the first 15 terms is (Record your answer in the numerical-response section below.)
Your answer should be in.0000
In any artihmetic sequence, consecutive terms differ by a fixed constant c. So given the first term a, the second term is a + c, the third terms is a + 2c, and so on, up to the n-th term a + (n - 1)c.
If the 15th term is 40, then
40 = -12 + (15 - 1) c ==> c = 52/14 = 26/7
We can then write the n-th term as
-12 + (n - 1) 26/7 = (26n - 110)/7
The sum of the first 15 terms is then
[tex]\displaystyle \sum_{n=1}^{15}\frac{26n-110}7 = \frac{26}7\sum_{n=1}^{15}n - \frac{110}7\sum_{n=1}^{15}n = \boxed{210}[/tex]
Another way to compute the sum: let S denote the sum,
S = -12 - 58/7 - 32/7 + … + 228/7 + 254/7 + 40
Reverse the order of terms:
S* = 40 + 254/7 + 228/7 + … - 32/7 - 58/7 - 12
Notice that adding up terms in the same position gives the same result,
-12 + 40 = 28
-58/7 + 254/7 = 28
-32/7 + 228/7 = 28
so that
S + S* = 2S = 28 + 28 + 28 + … + 28 + 28 + 28
There are 15 terms in the sum, so
2S = 15×28 ==> S = 15×28/2 = 210
For a party Justin buys a pizza and cuts it into 24pieces.Marc eats 1/6 of portion of the pizza and claudine eats 1/4 of what remains after both of them have eaten, Sylvia eats 1/3 of the result.Justin gets to eat what is left over what fraction of the pizza did Justin not eat
Answer:
Justin did not eat 7/12 of the pizza
Step-by-step explanation:
Marc eats 1/6 × 24 = 4, 24 - 4 = 20 left over
Claudine eats 1/4 × 20= 5, 20 - 5 = 15 left over
Sylvia eats 1/3 × 15 = 5, 15 - 5 = 10 left over
Justin eats 10.
24 - 10 = 14
Justin did not eat 14/24 = 7/12
Please help me with this, I am stu pid. UnU
if tanA=2ab/a square-b square.find the value of cosA and sin A
Answer:
[tex]\displaystyle \displaystyle \cos A = \frac{a^2-b^2}{a^2 + b^2}\text{ and } \sin A = \frac{2ab}{a^2 + b^2}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \tan A = \frac{2ab}{a^2 - b^2}[/tex]
And we want to find the value of cos(A) and sin(A).
Recall that tangent is the ratio of the opposite side to the adjacent side.
Therefore, the opposite side measures 2ab, and the adjacent side measures a² - b².
Using the Pythagorean Theorem, solve for the hypotenuse:
[tex]\displaystyle \begin{aligned} c^2 &= a^2 + b^2 \\ \\ c&= \sqrt{(2ab)^2 + (a^2-b^2)} \\ \\ &= \sqrt{(4a^2b^2)+(a^4-2a^2b^2+b^4)} \\ \\ &= \sqrt{a^4 + 2a^2b^2 + b^4 } \\ \\ &= \sqrt{(a^2 +b^2)^2} \\ \\ &= a^2 + b^2\end{aligned}[/tex]
Thus, our hypotenuse is given by a² + b².
Cosine is the ratio between the adjacent side and the hypotenuse. Thus:
[tex]\displaystyle \cos A = \frac{a^2-b^2}{a^2 + b^2}[/tex]
And sine is the ratio between the opposite side and the hypotenuse. Thus:
[tex]\displaystyle \sin A = \frac{2ab}{a^2 + b^2}[/tex]
In conclusion:
[tex]\displaystyle \displaystyle \cos A = \frac{a^2-b^2}{a^2 + b^2}\text{ and } \sin A = \frac{2ab}{a^2 + b^2}[/tex]
Answer:
Step-by-step explanation:
[tex]sec^2A-tan^2A=1\\sec^2A=1+tan^2A=1+\frac{4a^2b^2}{(a^2-b^2)^2} =\frac{(a^2-b^2)^2+4a^2b^2}{(a^2-b^2)^2} =\frac{(a^2+b^2)^2}{(a^2-b^2)^2} \\cos^2A=\frac{(a^2-b^2)^2}{(a^2+b^2)^2} \\cos A=\frac{a^2-b^2}{a^2+b^2} \\sin A=\sqrt{1-cos^2A} =\sqrt{1-(\frac{a^2-b^2}{a^2+b^2} )^2} =\sqrt{\frac{(a^2+b^2)^2-(a^2-b^2)^2}{(a^2+b^2)^2} } =\sqrt{\frac{4a^2b^2}{(a^2+b^2)^2} }=\frac{2ab}{a^2+b^2}[/tex]
19. Charlotte has a success rate of about 20%
for making baskets in attempts during
basketball games. She wants to determine
the probability that she will have to make at
least 5 attempts during a game in order to
make a basket. She designed a simulation
where she spun a spinner that was divided
into 5 equal sections, one of which was
colored red. She counted how many times
she had to spin the spinner in each trial
before it landed on red. The results of her
20 trials are shown below.
5, 2, 7, 2, 3, 4, 10, 6,4,6,
3, 6, 6, 4, 8,5,7,7,1,5
According to this simulation, what is the
probability that Charlotte will have to
make at least 5 attempts in order to make
a basket?
Answer:
[tex]P(x \ge 5) = 0.60[/tex]
Step-by-step explanation:
Given
[tex]S = \{5, 2, 7, 2, 3, 4, 10, 6,4,6,3, 6, 6, 4, 8,5,7,7,1,5\}[/tex]
[tex]n(S) = 20[/tex]
Required
[tex]P(x \ge 5)[/tex]
First, we count the number of trials that are at least 5
[tex]x = \{5, 7, 10, 6,6, 6, 6, 8,5,7,7,5\}[/tex]
So, we have:
[tex]n(x \ge 5) = 12[/tex]
So, we have:
[tex]P(x \ge 5) = \frac{n(x \ge 5)}{n(S)}[/tex]
This gives
[tex]P(x \ge 5) = \frac{12}{20}[/tex]
[tex]P(x \ge 5) = 0.60[/tex]
A recipe for eight flapjacks needs 2oz of butter, 3oz of sugar, and 4 oz of rolled oats. How many flapjacks can I make if I have 14 oz of butter, 15 oz of sugar, and 16 oz of rolled oats?
Answer:
Step-by-step explanation:
Eight flapjacks
2oz of butter
3oz of sugar
4 oz of rolled oats.
Each flapjack
Butter = 2/8 = 1/4 oz
Sugar = 3/8 oz
Rolled oats = 4/8 = 1/2 oz
How many flapjacks can I make if I have
14 oz of butter,
15 oz of sugar, and
16 oz of rolled oats?
Butter
= 14 oz ÷ 1/8 oz
= 14 × 8/1
= 112 flapjack
Sugar
= 15 oz ÷ 3/8 oz
= 15 × 8/3
= 120/3
= 40 flapjacks
Rolled oats
16 oz ÷ 1/2 oz
= 16 × 2/1
= 32 flapjack
Therefore,
Considering the quantity of rolled oats available, the number of flapjacks that could be made is 32
answer i guess i will give brainly for corret answers.
Answer:
B. Never
Step-by-step explanation:
When a number is irrational, it means that it cannot be written as a fraction.
I hope this helps!
pls ❤ and mark brainliest pls!
Answer:
c) when it is improper fraction
10.5125 rounded to the nearest cent plz help me ty <3
Answer: your answer should be 10.5130
Step-by-step explanation:
UDISJKDFJSFJDGLFS HELP
Answer:
I think E
Step-by-step explanation:
You know the shortest building is 25 m.
to find the rest, use trigo so Tan(20)=opposite/adjacent.
Adjacent is 50. Do the math and add the answer with 25.
Answer:
The answer would be E. 43.2
According to TOA, The opposite side is tan(20) x adjacent side( 50m)
the answer is 18.2( to 1 dp). Add the height of the second building together with 18.2 and you will get ur answer. HOpe this helps:)
If (5^(k-1))+(5^(k+1)) = m, what is 2*5^k in terms of m?
If [tex]5^k^-^1+5^k^-^1=m[/tex], what is [tex]2*5^k[/tex] in terms of m?
A) 5m
B) 5m÷2
C) 5m÷13
D) 5m÷26
Answer:
5m
Step-by-step explanation:
5^(k-1)+5^(k-1)=m
Going to combine like terms on left:
2×5^(k-1)=m
Law of exponents applied:
2×5^k×5^(-1)=m
Reciprocal:
2×5^k×1/5=m
Multiply 5 on both sides to obtain the requested:
2×5^k=5m
find the missing length for the following trapezoid
Answer:
15 is the answer I think.
Solve for the following. Type your answer using digits. A rectangle with a length ofx−4 and a width of 8 has a perimeter of 34. The value of x is .
Answer:
length = 13
Step-by-step explanation:
length =x-4
width = 8
perimeter =2( x-4) + 2× 8 = 34
= 2x - 8 + 8 =34
= 2x =34
= x = 17
Answer:
x = 13
Step-by-step explanation:
The opposite sides of a rectangle are equal, then
2(x - 4) + 2(8) = 34 ← distribute parenthesis and simplify left side
2x - 8 + 16 = 34
2x + 8 = 34 ( subtract 8 from both sides )
2x = 26 ( divide both sides by 2 )
x = 13
Find the value of the following (-42) + 15 + (-63) can someone say this and fast
[tex]\\ \sf\longmapsto (-42)+15+(-63)[/tex]
[tex]\\ \sf\longmapsto -42+15+(-63)[/tex]
[tex]\\ \sf\longmapsto -27+(-63)[/tex]
[tex]\\ \sf\longmapsto -27-63[/tex]
[tex]\\ \sf\longmapsto -90[/tex]
Answer:
42 + 15 + (-63) = -90
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
A polynomial has one root that equals 2 + i. Name one other root of this
polynomial.
Answer:
sorry
Step-by-step explanation:
polynomial is not given
question is incomplete
helpp me solve it and pls explain
tyyy
Answer:
2=124 124/2
4=248 248/4
5=310 310/5
8=496 496/8
Step-by-step explanation:
40 + 22 = 62
62 x 2 = 124
62 x 4 = 248
62 x 5 = 310
62 x 8 = 496
i think
$108.75 for working 15 hours as a holiday helper wrapping gifts. At this rate, how much money will she earn if she works 18 hours the next week. Explain.
PLEASE HELP
Find the probability of “landing” in the shaded region of the figures below.
Answer:
Hello,
p=0.1024
Step-by-step explanation:
The probability is the ratio of the areas of the 2 circles:
[tex]p=\dfrac{\pi*8^2}{\pi*25^2} =\dfrac{64}{625} =0.1024[/tex]
Answer:
64/625.
Step-by-step explanation:
Probability = area of small circle / area of the large one
= 8^2 / 25^2
= 64/625
Choose which is a statistical question: What are
the ages of the students in this class? or How
many pennies equal 1 dollar? Explain.
The statistical question is; "What are the ages of the students in this class?
What is a statistical question?A statistical question is always aimed at data collection which can subsequently used for analysis and decision making. Statistical questions are asked in the course of research.
Among the two questions, the statistical question is; "What are the ages of the students in this class?
Learn more about statistics:https://brainly.com/question/8058700
#SPJ1
Set A and the universal set U are defined as follows.
U={1,2,3,4,5,6)
A= {2,4,6}
Find the following sets.
Write your answer in roster form or as Ø.
Part (a)
Answer: ØThis is the empty set
------------------
Explanation:
It doesn't matter what set A is composed of. Intersecting any set with the empty set Ø will always result in the empty set.
This is because we're asking the question: "What does some set A and the empty set have in common?". The answer of course being "nothing" because there's nothing in Ø. Not even the value zero is in this set.
We can write Ø as { } which is a set of curly braces with nothing inside it.
=========================================================
Part (b)
Answer: {1,2,3,4,5,6}-----------------
Explanation:
When you union the universal set with any other set, you'll get the universal set.
The rule is [tex]A \cup B = B[/tex] where I've made B the universal set to avoid confusion of the letter U and the union symbol [tex]\cup[/tex] which looks nearly identical.
Why does this rule work? Well if an item is in set [tex]\overline{A}[/tex], then it's automatically in set U (everything is in set U; it's the universe). So we're not adding anything to the universe when applying a union involving this largest set.
It's like saying
A = set of stuff inside a persons house[tex]\overline{A}[/tex] = set of stuff outside a persons house (ie stuff that is not in set A)U = set of every itemwe can see that [tex]\overline{A} \cup U[/tex] will basically form the set of every item, aka the universal set.
The points A,B,C and D divide the line segment AD in the ratio 4:3:1 , respectively , and AD = 72cm . What is the length of BD?
Segment addition postulate states that given points X, and Z, on a line, a point Y, can be located between X, and Z, ony if we have;
XZ = XY + YZ
The length of the segment BD is 36 cm
The reason the above value is correct is as follows:
Known:
The ratio in which the points A, B, C, and D divide the line segment = 4:3:1
The length of segment AD = 72 cm
Required:
The length of BD
Method:
Calculate the length of BC and CD and add their values to get BD
Solution:
Let the ratios be given unit proportions of the segment AD such that we have;
AB = 4 units
BC = 3 units
CD = 1 unit
By segment addition postulate, we have;
AD = AB + BC + CD
∴ AD = 4 units + 3 units + 1 unit = 8 units = 72 cm
∴ 1 unit = 72 cm/8 = 9 cm
1 unit = 9 cm
BD = BC + CD by segment addition postulate
BC = 3 units = 3 × 1 unit
∴ BC = 3 × 9 cm = 27 cm
BC = 27 cm
CD = 1 unit
∴ CD = 9 cm
∴ BD = 27 cm + 9 cm = 36 cm
The length of segment BD = 36 cm
Learn more about segment addition postulate here:
https://brainly.com/question/17015321
Helppp!! Summer math Packet!
(+4) +(-7) =
Step-by-step explanation:
(+4)+(-7)
=4-7
=-3
Hope it will help you..
calculate the area of shaded region
Answer:
528 cm squared
Step-by-step explanation:
A parallelogram (slanted shape at the bottom) is essentially the same area as a rectangle.
Therefore, both shapes have the same measurements.
Multiply the length and height of the rectangle to get its area: 22cm×12cm =264cm squared
Since the area of the rectangle corresponds geometrically to the area of the parallelogram, just multiply the area of the rectangle (264cm squared), by 2.
So 264×2, = 528cm squared
Ta da...
