Answer:
a.) 5¹⁰
b.) 6¹⁷
Step-by-step explanation:
a.) 5⁸ × 25
Write 25 in the exponential form with the base of 5.
5⁸ × 5²To calculate product use exponent rule
5⁸+²5¹⁰b.) 6¹⁵ × 36
Similarly, 6¹⁵ × 36
Write 25 in the exponential form with the base of 6.
6¹⁵ × 6²To calculate product use exponent rule.
6¹⁵ + ²6¹⁷Answer:
[tex] \displaystyle {5}^{10} [/tex]
[tex] \displaystyle {6}^{17} [/tex]
Step-by-step explanation:
Question-1:we want to rewrite the following expression as an exponent
[tex] \displaystyle {5}^{8} \times {25}[/tex]
remember that 25 is the square of 5 therefore
[tex] \displaystyle {5}^{8} \times {5}^{2} [/tex]
recall that,
[tex] \displaystyle {x}^{m} \times {x}^{n} = {x}^{m + n} [/tex]
with that law we obtain:
[tex] \displaystyle {5}^{8 + 2} [/tex]
simplify addition:
[tex] \displaystyle {5}^{10} [/tex]
Question-2:likewise Question-1 36 is the square of 6 Thus,
[tex] \displaystyle {6}^{15} \times {6}^{2} [/tex]
similarly apply law of exponent:
[tex] \displaystyle {6}^{15 + 2} [/tex]
simplify addition:
[tex] \displaystyle {6}^{17} [/tex]
hence,
we have written the expression as an exponent
A triangle has the vertices of P(2,5),Q(-4,7) and R(-2,-1) classify the triangle is scalene, Isoceles or an equilateral triangle
Answer:
isoceles
Step-by-step explanation:
The vertices are not equal
simplify (-9)×5×6(-3)
[tex]\bf \large \hookrightarrow \:( - 9) \: \times \: 5 \: \times \: 6 \: \times \: ( - 3) \\ \\ \bf \Large \hookrightarrow \: \: \: - 45 \: \times \: ( - 18) \\ \\ \bf \Large \hookrightarrow \: \: 810[/tex]
Two ships P and Q left port at the same time. Q sailed at a bearing of 150 degrees while P sailed on the north side of Q. After a distance of 8km and 10km by P and Q respectively, their distance apart is 12km. Find the bearing of P from R
Answer:
247.18
Step-by-step explanation:
please watch the diagram carefully to see marked areas
According to given situation cosine law in trigonometry identities used
[tex]c^{2}=b^{2} +a^{2} -2abcosx[/tex] to find the bearing angle of P from R is 67 degree.
What is trigonometry identities.If the identities or equations are applicable for all the triangles and not just for right triangles, then they are the triangle identities. These identities will include:
Sine law
Cosine law
Tangent law
According to question,
The angle between RP & RQ.
Using the cosine law
[tex]PQ^{2} = RP^{2} + QR^{2} - 2PR*RQ*cosx\\12^{2}=8^2+10^2-2*8*10cosx\\cosx = \frac{164-144}{160} \\cosx = \frac{20}{160} \\cosx =\frac{1}{8}[/tex]
[tex]x=83[/tex] degree
[tex]150-83=67[/tex]
Hence, the bearing of P from R is 67 degree
To know more about cosine law here
https://brainly.com/question/17289163
#SPJ2
[tex]solve \: this \: \\ \\ 2a + 5b + 7a + 3b - 2a + 3c[/tex]
Answer:
7a + 8b + 3c
Step-by-step explanation:
Group together like terms and simplifyy
Answer:
7a + 8b + 3c
Step-by-step explanation:
2a + 5b + 7a + 3b - 2a + 3c
= 2a - 2a + 7a + 5b + 3b + 3c
= 7a + 8b + 3c
If A and B are independent events, then it must be true that P(ATB) = P(A).
well, let's take a look at two independent events
A) the potato is hot
B) it's raining
now, the potato could be hot whether is raining or not, A is totally independent of B, so what's the probability of "the potato being hot, GIVEN that it's raining" P(A | B) is the same as if it wasn't raining, or P(A), the fact that B occurred, doesn't affect A at all, the potato is hot regardless, rain or not. So P(A | B) = P(A).
Find x in the kite below
Answer:
x = 110
Step-by-step explanation:
comment if you want explanation
Answer:
Step-by-step explanation:
SOMEONE PLEASE ANSWER THIS PLZZZ
Answer:
.14
Step-by-step explanation:
A|B (or A given B)= A and B/B
So
Walk to school | senior= (walk to school and senior)/Senior
walk to school and senior= 5
senior= 25+5+5= 35
5/35= .14
what expression is equivalent to 96+18
Answer:
114
Step-by-step explanation:
114
1.A dozen bananas cost nu; 24? a/how much do 3dozen bananas cost? b/what is the cost of 6bananas? c/what is the cost of 1banana's?
Answer:
12 banana cost=Rs.24
now
a)3dozen bananas=24/12×36=Rs.72
b)cost of 6bananas =24/12×6=Rs.12
c)cost of 1 banana =24/12×1=Rs.2
Help, someone please lol
Answer:
2x+5x^2=1
2x+5x*5x=1
2x+25x=1
27x=1
1/27=x
Hope This Helps!!!
Answer:
D. 24
Hope it helps!
What is the length of DK?
A) 8.5
B) 12.7
C) 7.0
D) 3.5
Answer:
A
8.5 is the answer
If you test is going on so
all the best!
write down five numbers so that the mean is 6 the median is 5 and the mode is 4
Answer:
4,4,5,7,10
Step-by-step explanation:
this can be
4,4,5,7,10
5 is in the middle because 5 is median
4 appeared thrice cause it is the mode
and 10 is just there to give us our mean 6 because it is only 30/5 that gives 6 so we have to find 5 numbers whose sum gives 30
Answer:
The 5 numbers can be: 4, 4, 5, 8, 9.
Step-by-step explanation:
In 4, 4, 5, 8, 9. 5 is the median (The middle number).
The mode is 4 because 4 is the most repeated number.
(4+4+5+8+9)/5 is equal to 30/5 which equals 6. So, 6 is the mean.
Hope this helps! :)
What is the fraction for the following decimal expansion? 0.16
OA. 1/6
OB. 2/25
OC. 1/3
OD. 4/25
Answer:
D. 4/25Step-by-step explanation:
As,
0.16
= 16/100
= 4/25. [Taking common factor 4 from both 16 and 100]
PLS HELP TIMED QUESTION (I'll mark brainiest)
Please show work if possible.
Hello,
[tex]sin(45^o)=\dfrac{\sqrt{2} }{2} \\\\sin(45^o)=\dfrac{a}{c} \\\\\dfrac{\sqrt{2} }{2}=\dfrac{a}{6} \\\\a=6*\dfrac{\sqrt{2} }{2}=3\sqrt{2}\\[/tex]
Answer A
What is the value of a+b?
A) 110
B) 125
C) 135
D) 145
Please help!!!!
Find the area of the parallelogram
Answer:
The answer is 32.
Step-by-step explanation:
Just multiply the height by the base length. 4*8=32
work out the number of ham sandwiches Tina had
Answer:
Number of ham sandwiches Tina made = 60
Step-by-step explanation:
Total number of sandwiches = 480
Fraction of total sandwiches which are Tuna = [tex]\frac{3}{8}[/tex]
Therefore, number of Tuna sandwiches = [tex]480\times \frac{3}{8}[/tex]
= 180
Percentage of beef sandwiches = 35%
Therefore, beef sandwiches = [tex]480\times \frac{35}{100}[/tex]
= 168
Ratio of ham sandwiches (h) and cheese sandwiches (c) = 5 : 6
[tex]\frac{h}{c}=\frac{5}{6}[/tex]
[tex]c=\frac{6}{5}h[/tex] ------(1)
Total number of Tuna sandwiches + Total number of beef sandwiches + Total number of ham sandwiches + Total number of cheese sandwiches = 480
180 + 168 + h + c = 480
h + c = 480 - 348
h + c = 132
Substitute the value of c from equation (1),
[tex]h+\frac{6}{5}h=132[/tex]
[tex]\frac{11}{5}h=132[/tex]
[tex]h=\frac{132\times 5}{11}[/tex]
[tex]h=60[/tex]
Therefore, number of ham sandwiches Tina made = 60
What is the length of the hypotenuse of the right angle triangle, keep your answer to 1 decimal place a is 9cm and b is 13cm
Answer:
15.8cm
Step-by-step explanation:
\sqrt{9^2+13^2} =15.8113883008
15.8cm
A line has slope 3 and y–intercept 4.
Answer:
1. 4x + y= 3
Step-by-step explanation:
im sure that is the right answer
I need help w this ASAP !!!
hmm...let me think a little bit
Step-by-step explanation:
hmmm ..... i dont know so sorry
i am very very sory
Use the integer tiles to evaluate the following expressions. 6 + 3 = 6 + (–4) = 6 + (–6) =
Given:
The expressions are:
[tex]6+3[/tex]
[tex]6+(-4)[/tex]
[tex]6+(-6)[/tex]
To find:
The value of given expression by using integer tiles.
Solution:
We have,
[tex]6+3[/tex]
Here, both number are positive. When we add 6 and 3 positive integer tiles, we get 9 positive integer tiles as shown in the below figure. So,
[tex]6+3=9[/tex]
Similarly,
[tex]6+(-4)[/tex]
Here, 6 is positive and -4 is negative. It means we have 6 positive integer tiles and 4 negative integer tiles.
When we cancel the positive and negative integer tiles, we get 2 positive integer tiles as shown in the below figure. So,
[tex]6+(-4)=2[/tex]
[tex]6+(-6)[/tex]
Here, 6 is positive and -6 is negative. It means we have 6 positive integer tiles and 6 negative integer tiles.
When we cancel the positive and negative integer tiles, we get 0 integer tiles as shown in the below figure. So,
[tex]6+(-6)=0[/tex]
Therefore, [tex]6+3=9, 6+(-4)=2,6+(-6)=0[/tex].
Answer:
1=9
2=2
3=0
Step-by-step explanation:
Recipe ingredients remain jn a constant ratio no matter how many serving are prepared. Which table shows a possible ratio table for ingredients C and Y for the given number of servings
Answer:
The last table (the bottom one)
Step-by-step explanation:
The ingredients having the same ratio means that, for every number of servings, we should have:
Y/X = constant.
So, for the first table when we have 1 serving, the quotient is:
Y/X = 2/1 = 2
when we have two servings:
Y/X = 3/2 = 1.5
The ratios are different.
Then this is not the correct option.
For the second table, when we have 1 serving the ratio is:
Y/X = 2/1 = 2
when we have two servings:
Y/X = 4/2 = 2
when we have 3 servings:
Y/X = 8/3 = 2.66
This is not the correct option.
For the third table:
1 serving:
Y/X = 2/1 = 2
2 sevings
Y/X = 3/2 = 1.5
This is not the correct option.
fourth table:
1 serving:
Y/X = 2/1 = 2
2 servings
Y/X = 4/2 = 2
3 servings
Y/X = 8/4 = 2
Here we can see that the ratio is always the same, then the ratio remains constant.
This is the table that shows a possible ratio for ingredients X and Y,
I don't exactly understand
Check this link: https://brainly.com/question/12053038
The same question is explained here :).
Hope it helps.
Find the area of the square whose length is 3.5 inches?
Answer:
[tex]12.25[/tex]
Step-by-step explanation:
Area of square is
[tex] {s}^{2} [/tex]
where s is the side length.
3.5 is s so the answer is
[tex]3.5 {}^{2} = 12.25[/tex]
Answer:
Area = 12.25 square inches
Step-by-step explanation:
[tex]Given \ length \ of \ a \ side \ of \ the \ square = 3.5 \ inches \\ \\Area \ of \ a \sqaure \ = side \times side = 3. 5 \times 3.5 = 12.25 \ in^2[/tex]
Find the area.
A hexagon with side length 6m.
Answer:
93.53m.
Step-by-step explanation:
.
F= P(1 + r)!
Rearrange the formula to highlight the present value.
P=
[tex]\tt\displaystyle\ P(1+r)!= r*(r-1) *(r-2)*(r-3) ..... *1[/tex]
Find the equation of the line shown.
У.
4
3
2
х
4-3-2-19
B 46
Answer:
The equation is:
Y=2x-1
represent the following additions on a number line 3+5=8 3+(-5)
Answer:
8 &-2
Step-by-step explanation:
<-------------------------->
-2-1 0 1 2 3 4 5 6 7 8
________________
-2<8 and 8>-2
Evaluate each of the following. help plz
Answer:
5!= 120
13!= 6227020800
12!/6!= 665280
10!/7! 3!= 120
5(4!)= 120
Step-by-step explanation:
Let D be the event that a randomly chosen person has seen a dermatologist. Let S be the event that a randomly chosen person has had surgery for skin cancer. Identify the answer which expresses the following with correct notation: The probability that a randomly chosen person has had surgery for skin cancer, given that the person has seen a dermatologist.Select the correct answer below:A. P(D|S)B. P(D AND S)C. P(S) AND P(D)D. P(S|D)
Given:
D be the event that a randomly chosen person has seen a dermatologist.
S be the event that a randomly chosen person has had surgery for skin cancer.
To find:
The correct notation for the probability that a randomly chosen person has had surgery for skin cancer, given that the person has seen a dermatologist.
Solution:
Conditional probability: Probability of A given B is:
[tex]P(A|B)=\dfrac{P(A\cap B)}{P(B)}[/tex]
Let D be the event that a randomly chosen person has seen a dermatologist.
Let S be the event that a randomly chosen person has had surgery for skin cancer.
Using the conditional probability, the correct notation for the probability that a randomly chosen person has had surgery for skin cancer, given that the person has seen a dermatologist is P(S|D).
Therefore, the correct option is D.
