9514 1404 393
Answer:
5.7×10^6 mi
Step-by-step explanation:
(1.9×10^5 mi/s) × (3.0×10^1 s) = 5.7×10^6 mi
_____
Additional comment
When I can see that the product will have a mantissa that has a value greater than 10 or less than 1, I like to adjust the factors so the mantissa of the product comes out in the range 1-10. Here, we could adjust 1.9 to 0.19, or 30 to 3.0. We chose the latter.
Moving the decimal point of 30.0 1 place to the left means we increase the corresponding exponent by 1 (from 0 to 1). 30.0×10^0 = 3.00×10^1
Brad baked 36 muffins. Adam baked 8 more muffins than Brad.
Fred baked 2 times as many muffins as Adam. How many muffins
did Adam bake? How many muffins did Fred bake?
Answer:
Adam baked 44 muffins.
Fred baked 88 muffins.
Step-by-step explanation:
Adam) Do 36 + 8 = 44
because it says Adam baked 8 more than Brad.
Fred) Do 44 x 2 because it says
He baked 2 time more than Adam
-kiniwih426
The points (-6, 4) and (-4, r) lie on a line with slope 3. Find the missing coordinate r.
[tex]\\ \sf\longmapsto m=3[/tex]
(-6,4)(-4,r)[tex]\\ \sf\longmapsto \dfrac{r-4}{-4+6}=3[/tex]
[tex]\\ \sf\longmapsto \dfrac{r-4}{2}=3[/tex]
[tex]\\ \sf\longmapsto r-4=6[/tex]
[tex]\\ \sf\longmapsto r=6+4[/tex]
[tex]\\ \sf\longmapsto r=10[/tex]
factorize completely the expression(h+2k)²+4k²-h²
Answer:
[tex]\rm 4k(2k+ h)[/tex]
Step-by-step explanation:
A expression is given to us and we need to factorise it . The given expression is ,
[tex]\rm\implies (h+2k)^2+4k^2-h^2[/tex]
Open the brackets using the identity, (a +b)² = a² + b² + 2ab , we have ;
[tex]\rm\implies h^2+4k^2+4hk + 4k^2 - h^2 [/tex]
Simplify ,
[tex]\rm\implies 8k^2+4hk [/tex]
In the above expression 4k is common in both the terms , so that ,
[tex]\rm\implies \boxed{\pink{\frak{ 4k(2k+h) }}}[/tex]
The expression factorized completely is (h +2k)[(h+2k) + (2k-h)]
From the question,
We are to factorize the expression (h+2k)²+4k²-h² completely
The expression can be factorized as shown below
(h+2k)²+4k²-h² becomes
(h+2k)² + 2²k²-h²
(h+2k)² + (2k)²-h²
Using difference of two squares
The expression (2k)²-h² = (2k+h)(2k-h)
Then,
(h+2k)² + (2k)²-h² becomes
(h+2k)² + (2k +h)(2k-h)
This can be written as
(h+2k)² + (h +2k)(2k-h)
Now,
Factorizing, we get
(h +2k)[(h+2k) + (2k-h)]
Hence, the expression factorized completely is (h +2k)[(h+2k) + (2k-h)]
Learn more here:https://brainly.com/question/12486387
What is the median of this data set 15, 33,51,51,75
Answer:
51
Step-by-step explanation:
1. The median of a data set is the middle number within the data points.
2. As you can see, when you cross out each number from left to right then left to right again, you end up with 51 standing by itself. Therefore, the median is 51.
Could use some help here plz.
A sample survey of discount brokers showed that the mean price charged for a trade of shares at per share was . The survey is conducted annually. With the historical data available, assume a known population standard deviation of . a. Using the sample data, what is the margin of error associated with a confidence interval (to decimals)
Using the z-distribution, it is found that the margin of error of the confidence interval is:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In this problem, it is stated that the population standard deviation is known, thus, the z-distribution is used.
The margin of error of a z-confidence interval is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
z is the critical value. [tex]\sigma[/tex] is the population standard deviation. n is the sample size.A similar problem is given at https://brainly.com/question/25214883
Is 9 a solution to the equation?
3x - 7=20
Yes no
Answer:
yes
Step-by-step explanation:
because its right i know its right
The ages of a man and his son are in the ratio 4:1. The man is 36years old, how old is the son?
A drilling machine can drill 12 holes in 6 minutes. If the machine drills holes at a constant speed, it can drill
holes in 25 minutes. HELPPP
Answer:
The machine can drill 50 holes in 25 minutes!
Explanation:
6 by 4 is 24, which in this context will be 24 minutes. Therefore, multiply 12 by 4 to get the sum of 48. Then, to find the remaining 1 minute, divide 12 by 6 to get 2 which is the amount of holes per minute. Add 2 to 48 and that is your answer!
Antony spends £244 on a plane ticket and €110 on airport tax. Using £1 = €1.12, what percentage of the total cost does Antony spend on airport tax? Give your answer rounded to 1 dp.
Grandpa has a barrel of apples. 2/5 of the apple are rotten. 24 of the apples are good. How many apples are there in total?
Answer:
40 Apples
Step-by-step explanation:
3/5 of the apples are good so divide 24 by 3 which is 8, then multiply 8 by 2 which is 16, add 24 and 16 together to get 40. Let me know if I'm wrong.
the flag of a country contains an isosceles triangle. (Recall that an isosceles triangle contains two angles with the same measure.) If the of the third angle of the triangle is 40° more than three times the measure of either of the other two angles, find the measure of each the triangle. (Recall that the sum of the measures of the angles of a triangle is 180°.)
The two equal angles are each 36°.
The third angle is 108°.
-c: infinitely many solutions, Help solve plss
How do you get the right answer?
simplify (3x³)⁴.......
Answer:
(3x)¹²
Step-by-step explanation:
(3x³)⁴ can be simplified into (3x)¹²
The simplified value of the given expression is 3x¹²
What is simplification?Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler, usually shorter.
Given that, an expression (3x³)⁴
Using the identity = (xᵃ)ᵇ = xᵃᵇ
(3x³)⁴ = (3x)³ˣ⁴ = 3x¹²
Hence, the simplified value of the given expression is 3x¹²
Learn more about Simplification , click;
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The slope is negative in the graph as you move from left to right the line of the graph is going
Answer:
Down
Step-by-step explanation:
The line slants downward from left to right if the slope is negative.
Change 3/2 3.14 to degree measure
A. 180 degrees
B. 90 degrees
C. 270 degrees
D. 360 degrees
Answer:
option b
hope ut is help full
Find the x-intercept and y-intercept of the line and then graph the equation
-4x+2y=-4
Answer:
x-intercept is 1 and y-intersect is -2
Step-by-step explanation:
To find the x-intercept let y = 0 and to find the y-intercept let x = 0 and solve each equation.
-4x + 2y = -4 Let x = 0 and solve for y
-4(0) +2y = -4
0 + 2y = -4
2y = -4
y = -4/2 ; y = -2 y- intercept is -2
Let y = o and solve
-4x + 2y = -4
-4x + 2(0) = -4
-4x + 0 = -4
-4x = -4
x = -4/-4 ; x = 1 x-intercept is 1
Given: ΔABC ≅ ΔMNP. What is the corresponding angle to ∠A A. ∠B B. ∠N C. ∠M D. ∠P
Answer:
C. ∠M
Step-by-step explanation:
Answer:
C. < M
Step-by-step explanation:
Congruent triangle notations are written in order of their corresponding parts.
For ΔABC ≅ ΔMNP we have angle A corresponding to angle M
Δ A B C ≅
↓ ↓ ↓
Δ M N P
Plz help I need help
Answer:
Proportional
Step-by-step explanation:
I mark brainliest!! fill the table using the function rule, y=-10x+3
3. They each have a brother who
weighs 40 units. Whose brother
weighs 40 pounds, and whose
weighs 40 kilograms? Explain your
reasoning
Lin's brother weighs 40 pounds, and Elena's brother weighs 40 kilograms, because kilograms are heavier than pounds and Elena's brother is bigger.
4. Find PQ. N Р 5x + 16 S R 9x - 32 Q
Answer:
76
Step-by-step explanation:
PQRS is a Rhombus.
Property of Rhombus : -
All sides are equal.
So,
PQ = QR = RN = NP
RN = 5x + 16
QR = 9x - 32
QR = RN
5x + 16 = 9x - 32
9x - 32 = 5x + 16
9x - 5x = 16 + 32
4x = 48
x = 48 / 4
x = 12
Substitute x = 12 in RN,
RN = 5x + 16
= 5 ( 12 ) + 16
= 60 + 16
RN = 76
Since,
PQ = QR = RN = NP
Therefore,
PQ = 76
A rectangular picture frame has a length that is 6 cm greater than the width. The total perimeter is 36
cm. What are the dimensions for the frame? Write an equation, solve and then fully answer the
question.
Answer:
Step-by-step explanation:
width= x
length= x+6
perimter = 2x+ 2(x+6)
36= 2x+ 2x+ 12
36= 4x + 12
36-12= 4x
4x= 24
x= 6
therefore width= 6cm
length= 6+6 = 12
find me < 7 and m < 8 pls
Answer:
∠8 is 105° and ∠7 is 75°
Step-by-step explanation:
Angles 4 and 8 are corresponding angles, and are congruent.
Angles 8 and 7 are a linear pair
Find the measure of the missing angles
Answer:
H: 119 degrees.
G: 61 degrees.
M: 54 degrees.
K: 126 degrees.
Step-by-step explanation:
What is the answer to these questions?
Answer:
1) 8 3/5
2) Option 3
A sea lion jumped out of the water to a height of 3 feet above sea level. The number line shows the location of the sea lion at the top of its jump. From this location, the sea lion dove down 9 feet. Describe how to use the number line to find the new location of the sea lion.
Answer: on the number line it would go from 0 and with a positive line go to 3 and when it’s dive down it would with a negative line go 9 spaces towards the negative side of the number line and the answer would be -6 I think that kind of exsplains it step by step there but let me know if you information :) please leave a thanks and five stars I need some for my own quiz! Thank you!
Step-by-step explanation:
Which of the following equations represent linear functions?
Answer:
a
Step-by-step explanation:
a linear function have a shape of y=ax+b
y=8x-3 is linear where a=8 and b=-3
Answer: y = 4(2x) - 3
Step-by-step explanation: Linear functions are typically in the form y = mx + b. Out of the 4 choices, only the first one, (y = 8x - 3 when distributed) is in this form.
Show that (1 + 2V3)2 = 13 +4V3