Answer:
Simon is incorrect
Step-by-step explanation:
3^0 is not 0, it is 1.
A way of thinking about this is if to get from 3^2 to 3^1, you need to divide by 3, then to get from 3^1 to 3^0 you need to divide by 3 again. 3 divided by 3 is 1.
This means 3^0*3^2=1*9=9
A car travels 160 miles in 4 hours. How many miles per hour does the car
travel?
Answer:
40 mph
Step-by-step explanation:
160÷4 = 40 miles per hour
Answer:
40miles per hour
Step-by-step explanation:
distance traveled/time spent=speed(velocity)
160/4=speed (velocity)
40mph
TAKE HOME
1. Find the angle between the vectors:
i-23 + 5k and 3i+j - 2k
Answer:
The angle between the two vectors
∝ = 64°
Step-by-step explanation:
Step(i):-
Given that the vectors
[tex]a^{-} = i^{-} - 2j^{-} +5k^{-}[/tex]
and
[tex]b^{-} = 3i^{-} +j^{-} -2k^{-}[/tex]
[tex](a^{-} . b^{-} ) = (i^{-} - 2j^{-} +5k^{-} ) . (3 i^{-} + j^{-} - 2k^{-} )[/tex]
= 3 (i⁻ . i⁻) - 2(j⁻.j⁻) -10(k⁻.k⁻)
= 3 - 2 -10
= -9
Step(ii):-
Let '∝' be the angle between the two vectors
[tex]cos\alpha = \frac{a^{-}.b^{-} }{|a||b|}[/tex]
[tex]cos\alpha = \frac{|-9| }{\sqrt{1+4+25}\sqrt{9+1+4} }[/tex]
[tex]cos\alpha = \frac{|-9| }{\sqrt{30}\sqrt{14} }[/tex]
[tex]\alpha =cos^{-1} ( \frac{|-9| }{\sqrt{30}\sqrt{14} })[/tex]
∝ = cos⁻¹(0.4392) = 63.947
Final answer:-
The angle between the two vectors
∝ = cos⁻¹(0.4392) = 63.947
∝ = 64°
Find the surface area of each pyramid round to the nearest tenth if necessary
Answer:
457.9
Step-by-step explanation:
The data modeled by the box plots represent the battery life of two different brands of batteries that Mary tested. (a) What is the median value of each data set? (b) Compare the median values of the data sets. What does this comparison tell you in terms of the situation the data represent? For 100 point pls
Answer:
a brand x = 13 (median ) brand y = 16 median
Answer:
A) Median value is depicted on a box plot by the vertical line that divides the rectangular box. Therefore: Median value for Brand X = 13 and Median value for Brand Y = 16. B) Brand Y has a higher median value (16) than Brand X (13). This implies that brand Y has a battery life that last longer than brand X.
Find the measure of the indicated angles below.Drag the points to show the measure of the four angles
Answer Plzz
A. Angle E = 113°
B. x = 16°
ExplainNumber A
92 + 70 + 85 + ? = 360
162 + 85 + ? = 360
247 + ? = 360
? = 360 - 247
? = 113°
Number B
108 + 84 + ( x + 30 ) + ( 2x + 18 ) = 360
(180 + 84 + 30 + 18) + (x + 2x) = 360
312 + 3x = 360
3x = 360 - 312
3x = 48
x = 48/3
x = 16°
#LearnWithBrainly
What are the solutions to this quadratic equation? 5x2-7x-18=0
Answer:
=
−
±
2
−
4
√
2
x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
5
2
−
7
−
1
8
=
0
5x^{2}-7x-18=0
5x2−7x−18=0
=
5
a={\color{#c92786}{5}}
a=5
=
−
7
b={\color{#e8710a}{-7}}
b=−7
=
−
1
8
c={\color{#129eaf}{-18}}
c=−18
=
−
(
−
7
)
±
(
−
7
)
2
−
4
⋅
5
(
−
1
8
)
Step-by-step explanation:
The solutions to the quadratic equation 5x² - 7x - 18 = 0 are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].
What are the solutions to the quadratic equation?Given the quadratic equation in the question:
5x² - 7x - 18 = 0
Compared to the standard form ax² + bx + c = 0:
a = 5, b = -7 and c = -18
To find the solutions to the quadratic equation, we use the quadratic formula:
[tex]x = \frac{-b\±\sqrt{b^2 - 4(ac)} }{2a}[/tex]
Plug in the values and simplify:
[tex]x = \frac{-(-7)\±\sqrt{(-7)^2 - 4(5*-18)} }{2*5} \\\\x = \frac{7\±\sqrt{( 49 +360)} }{10} \\\\x = \frac{7\±\sqrt{ 409} }{10} \\\\x = \frac{7-\sqrt{ 409} }{10}, \frac{7+\sqrt{ 409} }{10}[/tex]
Therefore, the values of x are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].
Learn more about quadratic equations here: brainly.com/question/1863222
#SPJ2
who can help me please ?
Abigail is 54. Inches tall which of the following is Abigail height
Answer:
4.5 feet
Step-by-step explanation:
One foot is 12 inches, therefore she is 4 (12x4=48) and she would have 6 left over which is half of a foot. (:
Please help! I'm feeling good today, I'll give you 20 points. Thanks!!
Answer:
solution:
5(4+2x)=-(x-5)-7
20+10x=-x+5-7
10x+x=-2-20
x=-22/11=-2
x=-2
so.D.-2 is your answer.
A function is defined by the rule f(x) = 11 - 2x. What is the value of f(-3) ?
Answer:
17
Step-by-step explanation:
11 - 2(-3) = 11 + 6 = 17
should put -3 where x is
A shopper bought 7 ears of corn and 6 pounds of bananas and paid $5.15. At the same store, another shopper bought 4 ears of corn and 1 pound of bananas and paid $1.85 . What is the price of an ear of corn?
Please help!
Answer:
$0.70 per ear of corn
Step-by-step explanation:
Let c = Ear of corn
Let b = pound of bananas
First shopper:
7c + 6b = $5.15
Second Shopper:
4c + 1b = $1.85
Solve one equation for b since you are solving for c:
4c + 1b = $1.85
b = $1.85 - 4c
Substitute into other equation:
7c + 6b = $5.15 <--- b = $1.85 - 4c
7c + 6 ($1.85 - 4c) = $5.15
7c + $11.1 - 24c = $5.15
-17c + $11.1 - $11.1 = $5.15 - $11.1
-17c /-17 = -$11.85 /-17
c = $0.70 per ear of corn
Leave a like and mark brainliest if this helped
help? is this right or no?
Answer:
C
Step-by-step explanation:
Symmetry means to have the same structure on both sides. So, imagine a mirror reflecting, lets say half a piece of bread the structure will be the same on both sides.
pls give brainlist if helpful
At a recent meeting, the manager of a national call center for a major Internet bank made the statement that the average past-due amount for customers who have been called previously about their bills is now no larger than $20. Other bank managers at the meeting suggested that this statement may be in error and it needs to be tested. The file called Bank Call Center attached below, contains data for a random sample of 67 customers from the call center population. What should be conducted based on the sample data? Test using α = 0.10
Answer:
As the calculated z does not fall in the critical region we fail to reject H0 and conclude that there is sufficient evidence that the average past-due amount for customers who have been called previously about their bills is now no larger than $23.
Step-by-step explanation:
As the standard deviation for the past due amounts is 63
The sample size n= 67
1) Formulate the null and alternate hypothesis
H0: u ≤ 23 against the claim Ha: u > 23
2) The test statistics is
Z= x- u / σ/ √n
z= 20- 23/ 63/ √67
z= 0.00581
z= 0.006
3) The significance level ∝= 0.1
4) The critical value for ∝= 0.1 is Z > ±2.33
5) As the calculated z does not fall in the critical region we fail to reject H0 and conclude that there is sufficient evidence that the average past-due amount for customers who have been called previously about their bills is now no larger than $23.
Given that the discriminant of a quadratic equation is 1, determine the number of real solutions.
5. Find the next 4 terms of the sequence
47, 45, 40, 32, 21, , , , ,
Answer:
7 -10 -30 -53
Step-by-step explanation:
47-2 = 45
45-5 = 40 (2+3=5)
40-8 = 32 (5+3=8)
32-11 = 21(8+3=11).........
21-14 = 7
7-17 = -10
-10 -20 = -30
-30-23 = -53
Substitution
3x+y=-8, -8x-3y=21
PLEASE HELPP ME<3
Answer:x=92
y=−255
Step-by-step explanation:
Please help me :):)):):
Answer:
12
Step-by-step explanation:
5^2 + b^2 = 13^2
25 + b^2 = 169
169-25= 144
take the square root of 144
answer: 12
Expressions with Irrational Numbers: Mastery Test 1 Type the correct answer in the box. The product of 2/3 and 3v12 in simplified form is Reset
Answer:
[tex]$\frac{1}{6}$[/tex]
Step-by-step explanation:
Expressing the irrational numbers into its simplified form :
Given :
The product of [tex]$\frac{2}{3}$[/tex] and [tex]$\frac{3}{12}$[/tex]
Therefore,
[tex]$=\frac{2}{3} \times \frac{3}{12}$[/tex]
[tex]$=\frac{2}{12}$[/tex]
[tex]$=\frac{1}{6}$[/tex]
So the simplified form is [tex]$\frac{1}{6}$[/tex]
If you have complementary angles and one angle is 83°, what is the other angle?
Answer:
7 degrees
Step-by-step explanation:
90-83=7
Answer:
7 degrees
Step-by-step explanation:
complementary angles are equal to 90
HELPPPPP ME PLEASEE
Answer: <
6.12 x 10^4 < 612,000
Step-by-step explanation:
Answer:
<
Step-by-step explanation:
because 6.12 × 10^4 = 61,200 and 612,000 is obviously a way bigger number, so greater than symbol is the correct answer.
How do you Find the value of x.
Answer: 65
Step-by-step explanation: well 115 is 115 on the opposite direction therfore 65 would be 65 on the opposite side also please give brainlest i am only one away from leveling up
HELP WILL MARK BRAINLIEST
Answer:
Volume = 12
Step-by-step explanation:
Answer:
12cm³
Step-by-step explanation:
L=3cm
W=2cm
H=2cm
Volume=L*W*H
Volume =3*2*2
=12 cm³
a game consists of randomly choosing a bag (labelled 1, 2 or 3) out of a choice of 100, and then again randomly, picking a ball (red or black) from it. Each bag has the same total of balls (10). the same player is going to play the game 200 times consecutively. how many black balls should he expect to pick
Answer:
hello your question has some missing information attached below is the missing information
answer : 112 black balls
Step-by-step explanation:
Given data:
Each bag contains ; 10 balls
Total number of ball = 100 balls
first: calculate the number of Black balls to be picked from the three bags
From bag 1 = 0.4 * 0.35 * 10 = 1.4 balls
From bag 2 = 0.8 * 0.45 * 10 = 3.6 balls
From bag 3 = 0.3 * 0.2 * 10 = 0.6 ball
Total black balls picked = 5.6
∴ percentage of black balls picked given that each bag contains 10
5.6 / 10 * Total balls available = 56 balls = 56% of 100 balls
Hence If the player plays this game 200 times the number of black balls he will pick = 56% * 200 = 112 balls
Will give brainiest! if a line contains the points in the table below which is the equation of the line
Answer:
The answer is C
Step-by-step explanation:
5(-8) is equal to -40 and -40 minus 2 would give you -42
You could try it with the others if you want
Answer:
The answer is C
Step-by-step explanation:
to find slope do
-42 - (-17) = -25
and
-8 - (-3) = -5
then
-25/-5 = 5 as the slope
to find the y-intersept look where x = 0
so the y-intersept is -2
linear equation is y=mx+b
m = slope
b = y-intersept
so y = 5x - 2
Which equation is NOT true based on the Pythagorean Theorem
Answer:
b = √(c² + a²)
Step-by-step explanation:
Answer:
The last one
Step-by-step explanation:
Surface Area:Question 10
Lamar plans to paint the net above before folding it into a
triangular prism. What is the surface area he will paint?
13 cm
10 cm
Select one:
12 am
13 cm
840cm
20 cm
O
780cm
810cm
ОО
0 720cm
Answer:
Don't understand 12am like how
Ally ate 240 grapes in 6 days. Which rate below is equivalent to Ally's rate?
A. 60 grapes in 2 days
B. 60 grapes in 3 days
C. 120 grapes in 2 days
D. 120 grapes in 3 days
Answer:
D
Step-by-step explanation:
She ate 240 in 6 days or 40/day
So she would eat 120 in 3 days (40x3)
Answer:
D) 120 grapes in 3 days
Step-by-step explanation:
240/6 = 40 per day
80 in 2 days
120 in 3 days
How many soultions does the equation 2(p+5) = 4 - 10p have? Explain how you found your answer.
Answer:
1, p = -0.5
Step-by-step explanation:
2(p+5) = 4 - 10p
2p+10 = 4 - 10p
2p + 10p = 4 - 10
12p = -6
p = -6/12
p = -0.5
2(-0.5+5) = 4 - 10(-0.5)
-1 + 10 = 4 + 5
9 = 9
If a is inversely proportional to x, a=15 when x=25 find the constant of variation, k
Answer:
Step-by-step explanation:
"Inversely proportional to x" in this situation is represented by a = k/x.
Find k:
Let a = 15 and x = 25, then calculate k:
15 = k/25)
Multiplying both sides by 25 yields k = 15(25), or k = 3/5
3
and so a = -----------
5x
Penny is going to fly her plane to her sister's house, which is 544.32 miles away. Penny's airplane flies at an average speed of 672 miles per hour. How long does it take Penny to fly to her sister's house?
Answer:
0.81 hour
Step-by-step explanation:
Given data
Distance= 544.32 miles
Speed= 672 miles per hour.
We know that
Speed= distance/time
Substitute
672= 544.32/time
cross multiply
time*672= 544.32
time= 544.32/672
time= 0.81 hour