A = 5 B = 3 C = 1
6A - 10B + 3C = ?
Answer:
3
Step-by-step explanation:
6(5)-10(3)+3(1)
6*5=30
10*3=30
3*1=3
30-30+3=3
Find the value of term a14 in the sequence. 7, 2, -3, -8, -13...
Answer:
-58
Step-by-step explanation:
The first term (a₁) is 7 and the common difference (d) is 2 - 7 = -5.
Explicit formula of arithmetic sequence: aₙ = a₁ + (n - 1) * d
aₙ = 7 + (n - 1) * (-5) = 7 - 5n + 5 = -5n + 12
Therefore, a₁₄ = -5 * 14 + 12 = -58.
A vertical pole is placed in the ground at a campsite outside Salt Lake City, Utah. One winter day, 16 of the pole is in the ground, 23 of the pole is covered in snow, and 1.8 ft is above the snow. How long is the pole, and how deep is the snow
Answer:
Length of the pole = 10.8 ft
Depth of the snow = 7.2 ft
Step-by-step explanation:
The correct question is
A vertical pole is placed in the ground at a campsite outside Salt Lake City, Utah. One winter day, 1/6 of the pole is in the ground, 2/3 of the pole is covered in snow, and 1.8 ft is above the snow. How long is the pole, and how deep is the snow.
The fraction of the pole in the ground = 1/6
The fraction of the pole in the snow = 2/3
The length of the pole above the snow = 1.8 ft
Total fraction of the length of the pole = 1
For the fraction of the length above the snow, we solve as
1/6 + 2/3 + [tex]x[/tex] = 1
[tex]x[/tex] = 1 - 1/6 - 2/3 = 1/6
This means that the length of the pole above the snow 1.8 ft = 1/6 of the length of the pole.
Also, the fraction of the pole in the ground = 1/6
this means that the length of the pole in the ground = 1.8 ft
If 1/6 of the length of pole is 1.8 ft,
the length of the pole = 1.8 ft x 6 = 10.8 ft
Length of the pole in the snow = 2/3 of 10.8 = 2/3 x 10.8 = 7.2 ft
this means that the the snow is 7.2 ft deep
A policeman believes that the more text messages drivers send while driving, the greater the likelihood of being in a car accident. Which of the following findings would support his belief?
a) r(30) = .38, p < .05
b) r(40) = .28, p < .01
c) r(30) = -.38, p < .05
d) r(40) = -.28, p > .05
Answer:
The correct option is (a).
Step-by-step explanation:
The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.
In this case, a hypothesis test for a significant positive correlation is to be performed to determine whether the claim made by the policeman is true or not.
The hypothesis can be defined as follows:
H₀: There isn't a positive correlation between the number of text messages drivers send while driving and the likelihood of being in a car accident, i.e. ρ ≤ 0.
Hₐ: There is a positive correlation between the number of text messages drivers send while driving and the likelihood of being in a car accident, i.e. ρ > 0.
Consider the first option.
The sample correlation computed from 30 samples data is,
r = 0.38
The correlation is positive and the sample size is large enough to rely on the sample data.
The p-value of the test is, p < 0.05.
As the p-value is less than 5% level of significance, the null hypothesis will be rejected.
Thus, concluding that there enough evidence to support the policeman's belief.
Thus, the correct option is (a).
What the answer to (2/3) ÷ (3/4)
Answer:
0.8888
Step-by-step explanation:
Step-by-step explanation:
Remember: when we divide fractions, we always:
• Flip the sign (change it to a multiplication sign)
• Flip the second fraction (4 goes on top and 3 goes on the bottom)
Now we have the rules covered, let's set up our expression.
[tex]\frac{2}{3} *\frac{4}{3}[/tex]
To multiply, we just have to multiply across. 2 • 4 is 8, and 3 • 3 is 9.
Our final answer: [tex]\frac{8}{9}[/tex]
I hope this helps you!
Eddie and Fran are scuba diving. Eddie is 35 meters
below the surface of the water, and Fran is 8 meters
directly above him.
Find the equation of a line that is perpendicular to the line -2y+20=8x and passes through the point (7,2).
Answer:
8y -2 = 2x
Step-by-step explanation:
The equation of the perpendicular line will have the coefficients of x and y swapped, and one of them negated. The constant can be found by substituting the given point value:
8y +constant = 2x . . . . coefficients swapped; former y-coefficient negated
8(2) +constant = 2(7) . . . . . fill in given point values (x, y) = (7, 2)
constant = 14 -16 = -2 . . . . subtract 16
The equation can be written as ...
8y -2 = 2x
_____
Additional comment
Personally, I prefer standard form, which has common factors removed from the coefficients, and has the constant separated from the variable terms:
x -4y = -1
Some like the slope-intercept form better:
y = 1/4x +1/4
Apparently, your curriculum author doesn't care how the equation of the line is written, so we have answered with the same form that was given.
How many points do you need in order to name a ray?
O
one
four
о
three
two
You need the starting point, and another point that helps direct where the ray is aimed. Call these two points A and B.
Saying "Ray AB" means we extend a line through AB such that the line goes forever through B and beyond B, but we do not do the same for point A. The point A is effectively a cliff where no road goes on the other side of it. Check out the diagram below to see what I mean. The arrow means the line goes on forever in that direction.
The area of a sector of a circle is given by the equation uppercase A = StartFraction pi r squared uppercase S Over 360 EndFraction, where r is the radius of the circle and S is the angle measure of the sector. If Mia solved this equation for S, which of the following equations did she write? 360 uppercase A + pi r squared 360 uppercase A minus pi r squared StartFraction 360 + uppercase A Over pi r squared EndFraction StartFraction 360 uppercase A Over pi r squared EndFraction
Answer:360A/pi ^2
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
i got it right
What is the name for a function that can be written in the form y=mx+b, where x is the
independent variable and mand bare real numbers? Hint: Its graph is a line.
Answer: The formula is meant for slope interception.
m = slope
x = the independent variable
y = the dependent variable
idk if this is the answer you were looking for but I hope it helps!!!
-38--25 +25-50 solve
Answer:
-38Step-by-step explanation:
[tex]-38-25+25-50[/tex]
Follow the PEDMAS order of operation
Add and subtract left (left to right )
[tex]\mathrm{Apply\:rule\:}-\left(-a\right)\:=\:+a\\-\left(-25\right)=+25\\\\=-38+25+25-50\\=-13+25-50\\-13+25=12\\=12-50\\12-50=-38[/tex]
Answer: [tex]-38[/tex]
Add parentheses
[tex](-38--25)+(25-50)[/tex]
Subtract
[tex]-38-(-25)=-13\\25-50=-25[/tex]
Add
[tex](-13)+(-25)=-38[/tex]
Please help me on this
Answer:
-q
Step-by-step explanation:
We know that we are trying to find an expression equivelant to p - q:
p - q can be p - 1q
We can then put parenthesis around -1q:
p + (-1q)
We then can simplify:
p + (-q)
What is the distance across the river in feet?
Answer:
375 ft
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{d}{125}[/tex] = [tex]\frac{30}{10}[/tex] ( cross- multiply )
10d = 3750 ( divide both sides by 10 )
d = 375 ft
Which of the following is a correct comparison of two rational numbers?a. 1.5 > 5/3b. 2.5 < 0.25c. 0.07 > 7/10d. 0.6 > 4/7
Answer:
d. 0.6 > 4/7
Step-by-step explanation:
a. 1.5 > 5/3
From part a, it is given that 1.5 is greater than 5/3
changing 5/3 to decimal figure, we get 1.67
Thus, the claim that 1.5 > 1.67 is not valid because 1.67 is greater than 1.5
b. 2.5 < 0.25
given that 2.5 is less than 0.25 is not valid because 2.5 is greater than 0.25
c. 0.07 > 7/10
if we convert 7/10 to decimal figure, we get 0.7
the claim that 0.07 is greater than 0.7 is not valid because 0.7 is greater than 0.07
d. 0.6 > 4/7
If we convert 4/7 to decimal figure, we get 0.57
Therefore, the claim that 0.6 is greater than 0.57 is accurate and valid
Hence, Option d is the correct answer.
1. Find the distance between A (-6, -5) and B (2.0)
9.13
9.43
9.03
9.0
Answer:
B
Step-by-step explanation:
To find the distance between any two points, we can use the distance formula.
The distance formula is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let's let (-6,-5) be x₁ and y₁ and let (2,0) be x₂ and y₂. Therefore:
[tex]d=\sqrt{(2--6)^2+(0--5)^2}[/tex]
Simplify:
[tex]d=\sqrt{(8^2)+(5)^2[/tex]
Square and add:
[tex]d=\sqrt{64+25}\\d=\sqrt{89}[/tex]
Use a calculator:
[tex]d\approx9.4340[/tex]
Our answer is B :)
is -1 a rational number.
Answer:
Yes it is a rational number
Step-by-step explanation:
Rational numbers include positive, negative numbers and 0 that can be ritten as ratio.
Answer:
yes
Step-by-step explanation:
ratio numbers include negatives and positives
{(-4, 1), (-3,5), (-1,0), (6, 2), (9,5)} is this a function or not?
You need to multiply n by a power of 10 to help you find the fraction. Decide on the power of 10 to multiply by, and tell how you identified that number
Answer: -10
I believe it is [tex]n^{-10}[/tex] because that would make a fraction: [tex]\frac{1}{n^{10} }[/tex]
Sorry, I haven't done this stuff in a while, but I hope this helped :)
It takes 3 gardeners 30 minutes to plant 18 trees. How many gardeners would it take to plant 45 trees in 45 minutes
Answer:
It will take 7.5 gardeners to plant 45 trees in 45 minutes
Step-by-step explanation:
It takes 3 gardeners 30 minutes to plant 18 trees.
Let's determine the rate of this 3 gardeners
Rate= 18 trees/30 minutes
Rate= 2/5 trees per minute
So 3 gardeners= 2/5 trees per minute
But then one Gardner= 2/(3*5) trees per minute
One Gardner=2/15 trees per minute
Let's determine the number of gardeners it will take to plant 45 trees in 45 minutes
One Gardner=2/15 trees per minute
X(22 /3)= 2/15*(22.5/3)
It will take 7.5 gardeners to plant 45 trees in 45 minutes
Please help, enter your answer as a number to a power!
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Let's simplify step by step.
[tex]9x^{-53}[/tex] × [tex]9x^{37}[/tex]
[tex]= ( 9x^{-53}[/tex] × [tex]9x^{37})[/tex]
[tex]= 9x^{-53}[/tex] × [tex]9x^{37}[/tex]
[tex]= 9x^{-16}[/tex]
[tex]= \frac{1}{_{9} 16}[/tex]
[tex]= \frac{1}{1853020188851841}[/tex] (Decimal: 0)
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Please help! I need help with part B if 1000 students were surveyed what would the probability be of how many plays sports?
Answer:
188 students would play sports, out of 1,000.
Step-by-step explanation:
If the probability that a random high school student plays a sport is 0.188 (150/800), which means for every 1 high school student 0.188 of them play a sport. Multiply 0.188x1,000 to get 188 students who play a sport.
Laura bought a pair of shoes for 20$. The shoes were on sale for 15% off, and she also used a coupon for an extra 20% off. Before sales tax was applied, how much did Laura pay for the shoes?
Answer:
$13.60 before sales tax
Step-by-step explanation:
$20 x .85 (aka 15% off) = $17
then
$17 x .80 (aka 20% off) = $13.60
what is the distance between the coordinates (2,9) and (10,7) round your answer to the nearest tenth
Answer:
8.2
Step-by-step explanation:
We can use the distance formula: [tex]\sqrt{((x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
[tex]\sqrt{(10-2)^2 + (7-9)^2} = \sqrt{8^2 + (-2)^2} = \sqrt{64+4} = \sqrt{68} = 2\sqrt{17} = 8.2[/tex]
On what date did the 16th century begin?
1 January 2016
1 January 1601
1 January 1600
1 January 1501
Answer:
The 16th Century began on January 1st of 1600
Answer:
1 January 1501
hope it helps.
The Retail Advertising and Marketing Association would like to estimate the average amount of money that a person spends for Mother’s Day with a 99% confidence interval and a margin of error within plus or minus $12. Assuming the standard deviation for spending on Mother’s Day is $36, the required sample size is ________. a.) 60 b.)72 c.)97 d.)108
Answer:
a.) 60
Step-by-step explanation:
Margin of Error formula = z × s/√n
z = z score of confidence interval
We are given z score of 99% = 2.58
s = Standard deviation = $36
Margin of Error= ± 12
n= unknown
= 12 = 2.58 × 36/√n
12 × √n = 92.88
√n = 92.88/12
√n = 7.74
Square both sides
(√n)² = 7.74²
n = 59.9076
Approximately n ≈ 60
Therefore, the required sample size = 60
Please Help! I'm Stuck!
Answer:
19
Step-by-step explanation:
Assuming that [tex]l[/tex] represents length and [tex]w[/tex] represents width, we can make a systems of equations and solve for l and w.
[tex]2l+2w=60[/tex], since the perimeter of a rectangle will be double the length plus double the width.
Also we can make the equation [tex]l = 2w+3[/tex], as stated in the last part of the question.
We can now substitute the value of [tex]2w+3[/tex] into the equation [tex]2l+2w=60[/tex] as l.
[tex]2(2w-3) + 2w = 60\\\\4w-6+2w=60\\\\6w-6=60\\\\6w=66\\\\w = 66\div6\\\\w = 11[/tex]
So we know the width is 11. Now that we know the width, we can substitute it back into the equation [tex]l = 2w+3[/tex] to find the length.
[tex]l=2\cdot11-3\\\\l=22-3\\\\l=19[/tex]
So the length is 19.
Hope this helped!
1. Morgan works as a chef at a local restaurant. She makes $15.50 per hour
She worked 30 hours this week. How much money did she earn?
Answer:
$465 for that week
Step-by-step explanation:
Since Morgan makes $15.50 an hour and she works for 30 hours the answer would be multiplication which would be this:
$15.50 × 30 = $465
Hope this Helps :)
Answer:
she earned $465
Step-by-step explanation:
you multly the money by the hours
$15.50 x 30= 465
Danica made $440 working at a pet shop last month. She worked a total of 40 hours. How much money did Danica make per hour?
Answer:
Danica made 11 dollars per hour.
Step-by-step explanation:
Divide- 440/40=11
Check 11*40=440
She made 11 dollars per hour.
Answer:11
Step-by-step explanation:
5(x + 3) - (9x - 4)
Answer:
-4x + 11
Step-by-step explanation:
Distribute and then Simplify
If k3 – 9 = 12, what is the value of k? A. 1 B. 7 C. 9 D. 63
Answer:
63
Step-by-step explanation:
The answer is 63 because k/3 =63
k/3-9=12
We move all terms to the left:
k/3-9-(12)=0
We add all the numbers together, and all the variables
k/3-21=0
We multiply all the terms by the denominator
k-21*3=0
We add all the numbers together, and all the variables
k-63=0
We move all terms containing k to the left, all other terms to the right
k=63
Brainliest please i just need 10 to move to next level
An equation is formed when two equal expressions. The value of k in the given equation is 63. The correct option is D.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the equation k3-9=12.
Now, for the given equation the value of k can be found by solving the equation,
k/3 – 9 = 12
k/3 – 9 + 9 = 12 + 9
k/3 = 21
k/3 × 3 = 21 × 3
k = 63
Hence, the value of k in the given equation is 63.
Learn more about Equation here:
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