Answer:
5^15
Step-by-step explanation:
5^10 * 5^5
We know that a^b * a^c = a^(b+c)
5^(10+5)
5^15
Answer:
5¹⁵
Step-by-step explanation:
5 ¹⁰ . 5⁵
multiply the term with the same base by adding their exponent.5¹⁰+⁵
5 ¹⁵
Please help ASAP answering any it’s due at 11:15 thank you!
Answer:
1.a 72.8 yd wish I seen this sooner
A shooting star forms a right triangle with the Earth and the Sun, as shown below:
A right triangle is shown with the vertices labeled Earth, Sun, and Shooting Star. The angle formed by the Sun is labeled x deg
A scientist measures the angle x and the distance y between the Earth and the Sun. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the Sun and the shooting star. (10 points)
NO LINKS OR ABSURD ANSWERS
The distance between the Shooting Star and planet Earth is equal to the distance between the Sun and the Shooting Star multiplied by the sine of angle x.
How to calculate the distance?Fist of all, we would assign variables to the distance between these astronomical objects as follows:
Let EM be the distance between the Shooting Star and planet Earth.Let y be the distance between the Sun and the Shooting Star.Since the triangle is right-angled, we would use the sine trigonometry to determine the value of the distance between the Sun and the Shooting Star:
Sinθ = Opp/Hyp
Sinθ = EM/y
EM = y × Sinθ
Therefore, the distance between the Shooting Star and planet Earth is equal to the distance between the Sun and the Shooting Star multiplied by the sine of angle x.
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12+16(5×10)÷20-2=
What is the answer ?
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {50}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]12 + 16(5 \times 10) \div 20 - 2[/tex]
[tex] = 12 + 16(50) \div 20 - 2[/tex]
[tex] = 12 + \frac{800}{20} - 2[/tex]
[tex] = 12 + 40 - 2[/tex]
[tex] = 52 - 2[/tex]
[tex] = 50[/tex]
Note:-[tex]\sf\purple{PEMDAS\: rule.}[/tex]
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]
Answer:
50Step-by-step explanation:
12 + 16 (5 × 10) ÷ 20 - 2 = 12 + 16 (50) ÷ 20 - 2 = 12 + 800 ÷ 20 - 2 = 12 + 40 - 2 = 52 - 2 = 50There are 2 gold coins and 45 silver coins in Wyatt's coin collection. What is the ratio of the number of gold coins to the number of silver coins?
Answer:
2:45
Step-by-step explanation:
2:45
The ratio of coloured paper the white paper is 3:8 if there are 48 white paper how many coloured paper are there
Answer:
18
Step-by-step explanation:
Calculation to determine how many coloured paper are there
Let 3x represent the number of coloured papers
Let 8x represent the number of white papers
Given that 8x=48
Hence,
x=48/8
x=6
Now let determine how many coloured paper are there
Coloured paper=3x
Coloured paper=3(6)
Coloured paper=18
Thereffore the number of coloured paper that are there is 18
[tex] {10}^x = 5[/tex]
What is x?
×= 5/log 10 ^10
x= In 5
x=log 10^5
x=1/2
Answer:
below
Step-by-step explanation:
10ˣ = 5
applying log to both sides
xlog 10 = log5
x = 0•699
X^2 +
1/x^2
+12(x+1/x) +38,
Answer:
44
Step-by-step explanation:
The area of a playground is 5 square yards. The length of the playground is 5 times longer than its width. Find the length and width of the playground.
Answer:
The area of a playground is 20 square yards. The length of the playground is 5 times longer than its width. Find the length and width of the playground.
length = 1 yd, width = 20 yd
length = 2 yd, width = 10 yd
length = 10 yd, width = 2 yd
length = 20 yd, width = 1 y
A plane has traveled 26 miles on a course heading 48º east of north. How far north (x) has the plane traveled at this point, to the nearest tenth of a mile?
Answer: [tex]17.4\ \text{miles}[/tex]
Step-by-step explanation:
Given
A plane has traveled 26 miles on a course heading [tex]48^{\circ}[/tex] east of north
Taking the component of travel in North direction
The distance traveled in North is given by with the help of figure
[tex]\Rightarrow x=26\cos 48^{\circ}\\\\\Rightarrow x=26\times 0.669\\\\\Rightarrow x=17.4\ \text{miles}[/tex]
1) Find the remainder when 4x3 - 5x2 + 2x - 14 is divided by x -2
with the help of remainder theorem.
{ANS: R=2}
Answer:
remainder = 2
Step-by-step explanation:
A polynomial f(x) is divided by (x - a) then the remainder is f(a)
Here f(x) = 4x³ - 5x² + 2x - 14 is divided by (x - 2) then remainder is f(2)
f(2) = 4(2)³ - 5(2)² + 2(2) - 14
= 4(8) - 5(4) + 4 - 14
= 32 - 20 - 10
= 12 - 10
= 2
The mean number of pairs of shoes sold daily by a shoe store is 36 with a standard deviation of 3. On what percent of days would you expect the store to sell from 33 to 42 pairs of shoes?
Answer:
81.9%
Step-by-step explanation:
z-score is is z = (x-μ)/σ,
where x is the raw score
μ is the population mean = 36
σ is the population standard deviation = 3
For x = 33
z = 33 - 36/3
= -1
Probability value from Z-Table:
P(x = 33) = 0.15866
For x = 42
z = 42 - 36/3
= 2
Probability value from Z-Table:
P(x = 42) = 0.97725
The probability of days would you expect the store to sell from 33 to 42 pairs of shoes is
P(x = 42) - P(x = 33)
= 0.97725 - 0.15866
= 0.81859
Therefore, the percent of days would you expect the store to sell from 33 to 42 pairs of shoes is calculated as
0.81859 × 100
= 81.859%
Approximately = 81.9%
50 points. Can anyone help me. If you can show me how you did it for the assgnment.
Answer: in picture
Step-by-step explanation:
Sorry if I got something wrong
SSSSSSS
Which expression is equivalent to
(2g^3+4)^3
?
4g^6+16
4g^6 + 16g^3 +16
4g^6 + 8
4g^9 + 16g^3+8
Answer: answer is c pls mark me brain
Step-by-step explanation:
The expression 4g⁶+16+16g³ is equivalent to expression (2g³+4)²
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is (2g³+4)²
We have to find the equivalent expression of the given expression
Equivalent expressions are expressions that work the same even though they look different
We know that (a+b)²=a²+b²=2ab
(2g³+4)² = (2g³)² + 4² +2.2g³.4
=4g⁶+16+16g³
Hence, the expression 4g⁶+16+16g³ is equivalent to expression (2g³+4)²
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Find the perimeter of the figures shown below.
Answer:
The perimeter would be 32.6 ft.
Step-by-step explanation:
5.7+ 5.7+10.6+10.6=32.6
What is the solution to the system of equations
Answer:
Y = -8.17
X= -4.936
For the first one
Step-by-step explanation:
4x=26+6y
X = 6.5+1.5y
5(6.5+1.5y)-4y = 8
32.5+7.5y-4y = 8
24.5=-3y
Y = -8.17
X= -4.936
pls help math pls pls
Is (4, 2) a solution to the equation y = 6x - 22?
Answer:
Yes.
(4,2) is a solution to the equation
Step-by-step explanation:
Substitute (4,2) for x and y in the equation
Y = 6x - 22
2 = 6(4) -22
2 = 24 - 22
2 = 2
A number greater than 4 is rolled on a six-sided number cube. What is the probability of the complement of this event? Express your answer as a fraction in simplest form.
===========================================================
Explanation:
set A = dice values greater than 4 = {5,6}
set B = dice values 4 or less = {1,2,3,4}
Sets A and B are considered complementary because one or the other must happen. You must either roll something larger than 4 (set A) or you must roll something from set B.
There are 4 items in set B out of 6 possible outcomes. That leads us to the answer 4/6 = 2/3
Quadrilateral ABCD has vertices A(-3, 1) B(0,4) C(4,0) D(1, -3).
Find the perimeter of ABCD. Round to the nearest tenth.
Just look at the directions brainliest and thanks!
Answer:
b) Yes. Because it grows linearly, and have the proportions of 3. For each x you have an y 3 times bigger
Step-by-step explanation:
a) Okay, I cannot draw it right now, but I can explain how you'll do it. First step: draw a point on x=1 and y=3. Second step: draw another point on x=5 and y=15. Third step: pick your rule and make a straight line in these two points. It's done :)
The equation of a circle is (x-5)^2+(y-7)^2=36. What is the radius of the circle?
[tex] \boxed{ \huge\boxed{ \mathcal{A}\mathfrak {nswer...}}}[/tex]
The equation of a circle is represented as :
[tex] \large\boxed{(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} }[/tex]
where,
"h" represents x - coordinate of the center of circle "k" represents y - coordinate of the center of circle" r " represents Radius of the given circleSo, from above equation we get:
[tex] {r}^{2} = 36[/tex][tex]r = 6[/tex]Therefore, Radius of the given circle measures 6 units.
[tex] \mathrm{✌TeeNForeveR✌}[/tex]
The product of two and any nonzero integer is always _________.
Answer:
The product of two and any nonzero integer is always an even number.
Step-by-step explanation:
Example:
2 * 17 = 34
2 * 15 = 30
2 * 30 = 60
All of these are even numbers.
The product of two and any nonzero integer is always an even integer.
What are integers?"It is a natural number numbers along with zero and negatives."
Z = . . ., -3, -2, -1, 0, 1, 2, 3, . . .
What is even integer?"An integer which is divisible by 2."
For given example,
Let a = 2 and 'b' be any nonzero integer.
Case 1: 'b' is positive even integer
Let b = 4
⇒ a × b = 2 × 4
⇒ a × b = 8, which is an even integer.
Case 2: 'b' is negative even integer
Let b = -8
⇒ a × b = 2 × (-8)
⇒ a × b = -16, which is an even integer.
Case 3: 'b' is positive odd integer
Let, b = 9
⇒ a × b = 2 × 9
⇒ a × b = 18, which is an even integer.
Case 4: 'b' is negative odd integer
Let, b = -3
⇒ a × b = 2 × (-3)
⇒ a × b = -6, which is an even integer.
From above cases, we can observe that the product of 2 and any nonzero integer is an even integer.
Therefore, the product of two and any nonzero integer is always an even integer.
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Please help i will mark brainiest! You will get 20 points
Which of the following is most likely the next step in the series?
Z3, y6, X9, w12, . . .
A. u18
B. V18
C. V15
D. v15
Answer:
C. V15
Step-by-step explanation:
Each step we go back a letter in the alphabet and up 3 numbers.
Hope this helps! :)
Answer:
C. V15
Step-by-step explanation:
I got the answer correct.
Prove that 7 root 3 is an irrational number.
Step-by-step explanation:
because it has decimal values, the number is irrational
Point O is the center of dilation. Triangle D E F is dilated to create smaller triangle D prime E prime F prime. The length of O F prime is 3. The length of F prime F is 7. What is the scale factor of the dilation of triangle DEF?
===============================================
Work Shown:
k = scale factor
k = (OF ')/(OF)
k = (OF ')/(OF ' + F ' F)
k = (3)/(3 + 10)
k = 3/13
The scale factor of the dilation of triangle DEF is 3/10.
What is Dilation?The technique of dilation is used to enlarge or reduce the size of the things. This transformation produces an image that resembles the original shape and is identical to the image.
We have a triangle DEF is dilated to smaller triangle D'E'F' .
As, the length of OF' = 3 and F'F = 7.
So, the scale factor of dilation is
OF' / OF = 3 / 10.
Thus, the scale factor is 3/10.
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What is the cube root of 216xy18?
O 4xy
O 6xy
O 72xBy15
O 213x®y 15
100 tenths= ? hundredths
A) 10
B) 100
C) 1,000
D)10,000
Answer: your answer is D
A distributor needs to mix some Terraza coffee that normally sells for $9.00 per pound with some Kona coffee that normally sells for $13.50 per pound to create 50 pounds of a mix that can sell for $9.54 per pound. How many pounds of each kind of coffee should they mix?
Answer:
Step-by-step explanation:
Mixture problems are really easy because the table never varies from one problem to another and they don't have a lot of variations in them like motion problems do. The table for us will look like this, using T for Terraza coffee and K for Kona:
#lbs x $/lb = Total
T
K
Mix
Now we just have to fill this table in using the info given. We are told that T coffee is $9 per pound, and that K coffee is $13.50 per pound, so we will fill that in first:
#lbs x $/lb = Total
T 9
K 13.50
Mix
Next we are told that the mix is to be 50 pounds that will sell for $9.54 per pound
#lbs x $/lb = Total
T 9
K 13.50
Mix 50 9.54
Now the last thing we have to have to fill in this table is what goes in the first column in rows 1 and 2. If we need a mix of 50 pounds of both coffees and we don't know how many pounds of each to use, then under T we have x and under K we have 50 - x. Notice along the top we have that the method to use to solve this problem is to multiply the #lbs by the cost per pound, and that is equal to the Total. So we'll do that too:
#lbs x $/lb = Total
T x x 9 = 9x
K 50 - x x 13.50 = 675 - 13.50x
Mix 50 x 9.54 = 477
The last column is the one we focus on. We add the total of T to the total of K and set it equal to the total Mix:
9x + 675 - 13.5x = 477 and
-4.5x = -198 so
x = 44 pounds. This means that the distributor needs to mix 44 pounds of T coffee with 6 pounds of K coffee to get the mix he wants and to sell that mix for $9.54 per pound.
HELP ME PLS :((
Question 8 of 10
If g(x) = 4x2 - 16 were shifted 7 units to the right and 3 down, what would the
new equation be?
A. h(x) = 4(x+ 9)2 - 17
B. h(x) = 4(x + 7)2 + 19
C. h(x) = 4(x - 9)2 - 17
D. h(x) = 4(x - 7)2 - 19
SUBMIT
Answer:
D
Step-by-step explanation:
Let us start with the standard equation of a parabola, [tex]y=a(x-h)^2+k[/tex]. To move the parabola up or down, we would change the value of k. k>0, the parabola goes upward. k<0, the parabola goes downward. To move the parabola left or right, we would change the h value. h>0, the parabola goes to the right. h<0, the parabola goes to the left. Also take note that a change of 1 unit on an h or k value reflects also a 1 unit translation on the graph of the parabola.
The question asks us to shift our parabola [tex]g(x)=4x^2-16[/tex] right 7 units and down 3 units. Therefore, we have:
[tex]g(x)=4(x-7)^2-16-3\\g(x)=4(x-7)^2-19[/tex]
D
I hope this helps! Let me know if you have any questions :)
Phillip paid $288 for 6 books of the same price .what was the cost of 2 such books?
Answer:
$96
Step-by-step explanation:
price of each book
288 / 6 = 48
cost of 2 books
48 * 2 = 96
Answer:
$96
Step-by-step explanation:
the price of 1 book is 288÷6= 48.
to find the price of 2 books,you will have to multiply 48 by 2 which is going to be $96