Answer:
B
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes. This means they have opposite signs (negative) and their numerators and denominators are switched ( reciprocal).
For example, these slopes are perpendicular:
3/2 and -2/3
(3/2--negate--> -3/2---> reciprocal--> -2/3)
Therefore, the answer is B. The slope of one line must be the negative reciprocal of the other for the two to be perpendicular.
The function f(x) = (1/5) Superscript x is translated up 4 units. Which equation represents the translated function?
Answer:
g(x) = [tex](\frac{1}{5}) ^{x}[/tex] + 4
Step-by-step explanation:
Given f(x) then f(x) + c represents a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here f(x) is shifted up 4 units, thus translated function is
g(x) = f(x) + 4 = [tex](\frac{1}{5}) ^{x}[/tex] + 4
Answer:
C. g(x) = (1/5) x + 4
Hope this helps!
Step-by-step explanation:
Which represents a measure of volume?
5 cm³
5 square cm
5 cm
5 cm²
The answer is A) 5 cm³
Volume is represented by cubic units.
Hope it helps <3
When 10 b = 5 (StartRoot c EndRoot + 2) is solved for c, one equation is c = (2b minus 2) squared Which of the following is an equivalent equation to find c? c = 10 b minus 10 minus 5 c = (10 b minus 10 minus 5) squared c = StartFraction (10 b minus 2) squared Over 25 EndFraction c = StartFraction (10b minus 10) squared Over 25 EndFraction
Answer:
Option D.
Step-by-step explanation:
The given equation is
[tex]10b=5(\sqrt{c}+2)[/tex]
We need to find an equation which is equivalent to the given equation.
Using distributive property, we get
[tex]10b=5(\sqrt{c})+5(2)[/tex]
[tex]10b=5\sqrt{c}+10[/tex]
Subtract both sides by 10.
[tex]10b-10=5\sqrt{c}[/tex]
Divide both sides by 5.
[tex]\dfrac{10b-10}{5}=\sqrt{c}[/tex]
Taking square on both sides.
[tex]\left(\dfrac{10b-10}{5}\right)=(\sqrt{c})^2[/tex]
[tex]\dfrac{(10b-10)^2}{25}=c[/tex]
[tex]c=\dfrac{(10b-10)^2}{25}[/tex]
This equation is equivalent to the given equation.
Therefore, the correct option is D.
Answer:
d on edgenuity
Step-by-step explanation:
Classify the object in real life by what type of polygon it is. State if it is concave or convex, and explain why. Also write the sum of the interior angles. If the polygon is regular what would the measure of the interior and exterior angles be? a. Stop sign b. Tripod c. Computer screen d. School crossing sign e. The dome of a capitol building f. A cell in a honeycomb g. Describe the difference between a concave and convex polygon. h. What is a regular polygon? i. How do you calculate the sum of the interior angles?
Answer:
see below for classification
concave: angles less than 180°
regular: sides and angles congruent
sum = 180°(n -2)
Step-by-step explanation:
A) The given shapes are classified and described in the attachment. (A polygon is a plane figure, so a "tripod" and a "dome" are not polygons.)
__
B) A convex polygon has interior angles that measure less than 180°. A concave polygon has one or more reflex angles.
__
C) A regular polygon has all angle measures congruent, and all side lengths congruent.
__
D) The sum of interior angles can be calculated from the formula ...
angle sum = 180° · (n -2) . . . . where n is the number of sides
What is one of the solutions to the following system? StartLayout Enlarged left-brace 1st Row y minus 3 = x 2nd row x squared minus 6 x + 13 = y EndLayout (–5, 2) (–2, 1) (2, 5) (8, 5)
Answer:
The solution of given equation is (2,5)
Step-by-step explanation:
The equations give to us are:
y - 3 = x
or
y = x + 3
y = x² - 6x + 13
We can find the solution of the given system of equations by substituting each point in both of the equations. The point which satisfies both of the equation will be the solution of the the system of given equation.
Substitute (2,5) in both equations
y = x+3
5 = 2+3
5 = 5
TRUE
y = x² - 6x + 13
5 = 2² -6(2) + 13
5 = 5
TRUE
Similarly, we can also check the rest of the points, which come as FALSE.
Therefore, the solution of given equation is (2,5)
Answer:
Answer is C
Step-by-step explanation:
A password has to use the following format: LDDDDLLL, where L can be any of the upper case letters in the alphabet, and D can be any digit including 0. None of the digits or letters can repeat. What is the probability that a random password uses only vowels (A,E,I,O,U) and odd numbers (1,3,5,7,9)? Show work but do not evaluate. What is the probability that the password spells the word “MATH?”
Answer:
Only vowels and odd numbers:
[tex]P = \frac{5}{26} *\frac{4}{25}* \frac{3}{24}* \frac{2}{23} *\frac{5}{10}* \frac{4}{9} *\frac{3}{8} *\frac{2}{7}[/tex]
Spells math:
[tex]P = \frac{1}{26} *\frac{1}{25}* \frac{1}{24}* \frac{1}{23}[/tex]
Step-by-step explanation:
We have four letters, so the probability that one letter is a vowel is 5/26 (we have 5 vowels in a total of 26 letters), then the second letter has a probability of 4/25 of being a vowel (1 vowel used), and so on (third letter being vowel = 3/24 and fourth letter being vowel = 2/23)
Then, for the digits, we do the same, one digits has 5/10 probability of being odd, then the second digit has 4/9, the third has 3/8 and the fourth has 2/7.
So the final probability would be:
[tex]P = \frac{5}{26} *\frac{4}{25}* \frac{3}{24}* \frac{2}{23} *\frac{5}{10}* \frac{4}{9} *\frac{3}{8} *\frac{2}{7}[/tex]
To find the probability that the password spells the word “MATH", each letter has to be a specific letter, so the first letter has 1/26 probability, the second has 1/25, and so on:
[tex]P = \frac{1}{26} *\frac{1}{25}* \frac{1}{24}* \frac{1}{23}[/tex]
The number of passwords with only vowels and odd numbers is 1/125580 and the probability that a password spells MATH is 1/358800
How to determine the probabilityThe password format is given as:
LDDDDLLL
Since no character can be repeated, then the total number of different password using the format is:
Total = 26 * 10 * 9 * 8 * 7 * 25 * 24 * 23
Total = 1808352000
Also using the format, the number of passwords with only vowels and odd numbers is:
Total = 5 * 5 * 4 * 3 * 2 * 4 * 3 * 2
Total = 14400
The probability is then calculated as:
[tex]p = \frac{14400}{1808352000}[/tex]
Simplify
[tex]p = \frac{1}{125580}[/tex]
The number of password that spells MATH is:
Total = 1 * 10 * 9 * 8 * 7 * 1 * 1 * 1
Total = 5040
So, the probability that a password spells MATH is:
[tex]p = \frac{5040}{1808352000}[/tex]
Simplify
[tex]p = \frac{1}{358800}[/tex]
Hence, the probability that a password spells MATH is 1/358800
Read more about probability at:
https://brainly.com/question/25870256
Which statement is true regarding the graphed functions?
Answer:
C
Step-by-step explanation:
You can look them up in the graphs.
f(2) means "where is the blue graph when x=2?", and you can see it is at y=0.
Which of these phrases contain a variable? Check all that apply.
O A. The length of the hallway
O B. Twelve ounces of tea
O C. The weight of the wombat
O D. Seven cups of flour
Answer:
The length of the hall way
the weight of the wombat
Shape A can be transformed to shape B by a reflection in the x-axis followed by a translation (c, d) find the value of c and the value of d
Answer:
c = -6
d = -1
Step-by-step explanation:
In the picture attached, the question is shown.
Shape A is composed of the points:
(3, 2)
(5, 2)
(3, 5)
Reflection across the x-axis transforms point (x, y) into (x, -y). Applying this transformation to shape A:
(3, 2) → (3, -2)
(5, 2) → (5, -2)
(3, 5) → (3, -5)
Translation (c, d) transforms (x, y) into (x+c, y+d). The point (3, -2) in the pre-image (before translation) corresponds to point (-3,-3) in the image (after translation). Therefore:
(3, -2) → (3+c, -2+d) → (-3,-3)
3+c = -3
c = -3 -3 = -6
-2+d = -3
d = -3+2 = -1
If you miss the bus, then you will be late to school.
law of syllogism basically is a=b b=c then a=c
a = miss bus
c= detention
so if you miss the bus you get detention
D
if the parent function is y=2x, which is the function of the graph?
a. y = 0.5(2)^x+1 - 3
b. y = 0.5(2)^x-1 - 3
c. y = 0.5(2)^x+1 + 3
d. y = 0.5(2)^x-1 + 3
Answer:
The answer is option B.[tex]y = 0.5 {(2)}^{x - 1} - 3[/tex]
Hope this helps you
What is this expression in simplified form?
(8/10)(8/5)
OA 64/50
OB. 16/50
OC. 80/2
OD. 320/2
Answer:
A.64/50
Step-by-step explanation:
8/10*8/5
64/50
The least simplified form of the equation is 32/25
The simplified form of expression is option (D) 64/50 is the correct answer.
What is simplification of an expression?Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. It involves, multiply out the brackets and then simplify the resulting expression by collecting the like terms.
For the given situation,
The expression is (8/10)(8/5)
The simplified form of expression is
⇒ [tex](\frac{8}{10} )(\frac{8}{5} )[/tex]
⇒ [tex]\frac{64}{50}[/tex]
Hence we can conclude that the simplified form of expression is option (D) 64/50 is the correct answer.
Learn more about simplification of an expression here
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HURRRYYYY FIRST GETS BRAINLLEST Janine wrote the numbers 1-100 and placed them in a bag. If she selects a number without looking, what is the probability that the number is even and greater than 80? Input your answer as a decimal or fraction.
Answer:
1/10 or ( 0.1 )
Step-by-step explanation:
no. of even no.s greater than 80 = 10
Total no.of numbers = 100
So P(no. of even no.s greater than 80) = 10/100 = 1/10
Answer:
There are 10 even numbers greater than 80.
So Probability of getting an even numbers greater than 80 is 10/100 (1/10)
Hope it helps you. Please mark Brainliest :)
Have a nice day PPLS!!!!!!!
SOMEONE PLEASE HELP ME ASAP PLEASE!!
Answer:
1
Step-by-step explanation:
answer is 1 trust me use simple algebra
Find the perimeter of the quadrilateral
If x= 2, the perimeter is____ imches
━━━━━━━☆☆━━━━━━━
▹ Answer
Perimeter = 8 inches
▹ Step-by-Step Explanation
a + b + a + b
2 + 2 + 2 + 2 → 8 inches
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
8 inches
Step-by-step explanation:
since a quadrilateral has 4 sides and each side equals 2, you would just add all the sides to together to get 8!
2 + 2 + 2 + 2 = 8
hopefully this helped :3
Helen drives 195 miles in 3 hours.
a) What is her average speed in mph?
Matthew drives at an average speed of 62 mph for 5 hours.
b) How many miles does Matthew drive?
Answer:
a) What is her average speed in mph?
= 65 mph
b) How many miles does Matthew drive?
=310 miles
Step-by-step explanation:
The average speed in meters per hour (mph) of Helen is 65 miles per hour
Given:
Total distance = 195 miles
Time taken = 3 hours
Average speed = Total distance ÷ Time taken= 195 miles ÷ 3 hours
= 65 miles per hour
If Matthew drives at an average speed of 62 mph for 5 hours.
Total distance between traveled = Average speed × Time taken
= 62 mph × 5 hours
= 310 Miles
Therefore the total miles Helen traveled in 5 hours at the rate of 62 mph is 310 miles
Read more:
https://brainly.com/question/8406966
Identify the simplified form of the expression (m 5/2 n 7/2)2 A) m n2 B) m5 n C) m2 n5 D) m5 n7
Answer:
D) m^5·n^7
Step-by-step explanation:
The applicable rule for exponents is ...
(a^b)^c = a^(b·c)
__
[tex](m^{\frac{5}{2}}n^{\frac{7}{2}})^2=m^{\frac{5}{2}\cdot2}n^{\frac{7}{2}\cdot2}=\boxed{m^5n^7}[/tex]
Help, My parents can’t even help me. I’m really stuck. In the SuperLottery, three balls are drawn (at random) from ten white balls numbered from 1 to 10, and one SuperBall is drawn (at random) from ten red balls numbered from 11 to 20. When you buy a ticket, you choose three numbers from 1 to 10, and one number from 11 to 20. If the numbers on your ticket match at least two of the white balls or match the red SuperBall, then you win a super prize. What is the probability that you win a super prize?
Answer:
This is an extremely easy question. Your correct answer is 1/7,200 or 0.01389%
Step-by-step explanation:
Since you have to choose the three numbers and one super ball to be able to win the lottery, your chances of getting 3 white numbers is 1/10 x 1/9 x 1/8 = 1/720
The chances of getting the super ball is 1/10
And the chances of winning the jackpot is 1/720 x 1/10 = 1/7,200 = 0.01389%
Whats the square route of 49?
Answer:
The square root of 49 is 7.
Step-by-step explanation:
To find the square root of 49, you would need to look at the possible multiplication equations. For example:
1 x 49 = 49
7 x 7 = 49
49 x 1 = 49
As you can see, 7 x 7 would have the square root of 49, which is 7.
7^2=49
.
In conclusion, the square root of 49 is 7
Answer:
The square route of 49 is 7.
Step-by-step explanation:
All you have to do is 7 x 7 = 49
There. You have your correct answer.
If the picture looks a little weird, just zoom in and it should be fixed.
Answer:
c
Step-by-step explanation:
got it right
Does the graph represent a function?
Answer:
yes
Step-by-step explanation:
I am interested in the how, not just an answer. Who can show me the correct solution path?
To date, this year, Company XYZ has sold 600 units. They sell units at an average rate of 20 per week. The company wants to sell more than 1,000 units this year. Which of the following inequalities could be used to solve for x, the number of weeks necessary to reach the company's year-end goal? A. 20x > 1,600 B. 20x + 600 > 1,000 C. 20x > 1,000 D. 20x - 600 > 1,000
Answer:
B. 20x + 600 > 1,000.
Step-by-step explanation:
Company XYZ has already sold 600 units. They will sell additional units at 20 per week. They want to sell more than 1,000 units.
We can use "x" to represent the number of weeks it will take for the company to sell more than 1,000 units.
Their rate will be 20x (20 units per week). They have already sold 600 units, so we have the expression, 20x + 600. That quantity needs to be MORE THAN 1,000, so we will use the > sign. That needs to be more than 1,000, so we put 1,000 to the right of the > sign.
That leaves us with: B. 20x + 600 > 1,000.
Hope this helps!
Answer:
The answer is B
If I have 2 steel rods, one with 17% purity and one with 25% purity. How much should I take (in kgs) from each bar?
Answer:
250 kg of 17% and 150 kg of 25%
Step-by-step explanation:
For answering this, we do it by proportions.
take the difference
17% === 20% === 25%
3 5
Then ratio
17% :25% = 5:3
For 400 kg,
17% = 5/(5+3) * 400 = 250 kg
25% = 3/(5+3) * 400 = 150 kg.
Above is a mental method, no calculation or pencil need.
I will edit to give an algebraic method.
Algebraic method:
Given:
17% rods and 25% rods.
Need to make 400 kg of 20% rods.
Let
A=weight of 17% rods
B=weight of 25% rods
to make 20% rods, we need
( 0.17A + 0.25B ) / (A+B) = 0.20 ............(1)
But we know that
A+B=400 .............(2)
substitute
B=400-A in (1)
( 0.17A + 0.25 (400-A) ) / 400 = 0.20
Cross multiply and simplify
(0.17-0.25)A +100 = 80
-0.08A = -20
A = -20 / (-0.08)
A = 250 ...........(3) (17% rods)
substitute (3) in (2)
B = 400-250 = 150 (25% rods)
Same answer as mental calculations
Even simpler albebra, same answer!
Given:
17% rods and 25% rods.
Need to make 400 kg of 20% rods.
Let
W=weight of 25% rods
400-W = weight of 17% rods
To make 20% purity rods, we need to have 400*0.2=80 kg of pure metal, which is
0.25W + 0.17(400-W) = 80
Expand and simplify
0.25W + 68 - 0.17W = 80
0.08W = 80-68 = 12
W = 12/0.08 = 150 (25% rods)
400-W = 250 kg (17% rods)
Answer:
245432
Step-by-step explanation:
Angela uses cup of strawberries to make of a liter of smoothie. What is the unit rate in cups of strawberries per liter of smoothie?
What is the initial value of the equation shown?
y = -7x - 6
-13
-7
-6
-1
Answer:
-6
Step-by-step explanation:
Just did the test and -6 was the right answer.
given f(x) = 3/2x - 5 and g(x) = x^2 + 2x find x (the input) if g(x) = 0 ( the output 0 ) there are 2 answers
Answer:
x = 0 , x = -2
Step-by-step explanation:
The function given to us is:
f(x) = 3/2x - 5
g(x) = x² + 2x
We have to find the input x, for which the output of the function g(x) becomes 0.
It means that there is no use for the function f(x) in this question, so discard it
Substitute g(x) = 0 into the given equation of g(x):
g(x) = x² + 2x
0 = x² + 2x
Take x common from both the terms:
x(x+2) = 0
Thus, the values of x can be written as:
x = 0 , x + 2 = 0
x = 0 , x = -2
a savings account receives 12% simple interest p.a. how long would it take for £30000 to gain £28800 in interest
Answer:
8 yearsStep-by-step explanation:
Given,
Principal (P) = £ 30000
Simple Interest ( I ) = £ 28800
Rate (R) = 12%
Time (t) = ?
Now,
[tex]t = \frac{i \times 100}{p \: \times \: r} [/tex]
[tex] = \frac{28800 \times 100}{30000 \times 12} [/tex]
[tex] = \frac{2880000}{360000} [/tex]
[tex] = 8 \: years[/tex]
Hence, It would take 8 years.
Hope this helps...
Good luck on your assignment...
Harold has $20.00 to spend. He decided to buy a shirt for $15.95 and spend the rest on packs of gum. If each pack of gum costs $1.99, how many packs of gum can Harold buy?
Answer:
2 or less packs
Step-by-step explanation:
15.99 + 1.99g < 20.00 where g is the number of packs of gum
Subtract 15.99 from each side
15.99 + 1.99g - 15.99 < 20.00-15.99
1.99g < 4.01
Divide by 1.99
1.99g/1.99 < 4.01/1.99
g < 2.015075377
Harold must buy whole packs so g =2 or less
Check all solutions to the equation. If there are no solutions, check "None."
x=-81
Answer:
none
Step-by-step explanation:
If a squared variable is equal to a negative number, all of the solutions are imaginary
There are no real solutions
Answer:
The correct answer is none.
A car travels at 60 miles per hour. If d is the distance traveled and t is the time in hours: Write a function for the distance traveled d in t hours. What is the dependent variable? What is the independent variable? Make a table with at least 5 coordinate pairs. Graph the coordinate pairs and draw the function
Answer:
Step-by-step explanation:
d= distance
t= time
The independent variable is t, time. The distance the car travels depends on the time in hours spent travelling. The dependent variable is d, distance. Here is a table with 5 coordinate pairs that can be used.
(T) (D)
1 30
2 60
3 90
4 120
5 150
These are the coordinate pairs for the function. When we use division and determine the rate of change, we can determine that the average rate of speed (MPH) is 30 MPH.