Answer:
= -16
Step-by-step explanation:
You will use the Please Excuse My Dear Aunt Salley method (Paranthesis, mutiplication, division, addition, and subtraction)
-6 +5 x 2 +10 x (-2)
-6 +10 -20 (a positive times a negative equals a negative)
= -16
Step-by-step explanation:
-6 + 5 x 2 + 10 x ( -2 ) PEMDAS
-6 + 10 + -20 Parensthesis, Exponents, Multiplication & Division
4 - 20 left to right, Addition & Subtraction left to right.
-16.
9x81 simplfy in distributive proper
Answer:
the answer is 729.........
helppppppppppppppppppppp
Answer:
$7.20
Step-by-step explanation:
60% of 4.5 = 2.7
4.5+2.7 = $7.2
Answer:
7.2
Step-by-step explanation:
So u do 60% of 4.5 and add ur answer to 4.5
Helppppppppp plzzzzz
Answer:
1) 25, 2) 6
Step-by-step explanation:
Damon's father pays him one dollar to start the work and
doubles his pay for each hour of work. Write a function that
models this situation.
Answer: p(x) = $1*(2)^x
Step-by-step explanation:
First, the father pays him $1 for only starting the work, and for each hour, the payment is doubled.
So after the first hour, the payment wil be 2*$1 = $2.
After the second hour, the payment will be 2*(2*$1) = $1*(2)^2
After another hour, the payment will be 2*($1*(2)^2) = $1*(2)^3
We already can see the pattern here, after x hours, the payment will be:
p(x) = $1*(2)^x
This is the function that models this situation.
QUESTION 7
Solve for x.
(3x + 32)
(5x-8)
O a. 3
b. 12
O c. 20
O d. 19.5
Answer:
The answer is x = 20
Step-by-step explanation:
If you set both equations equal to each other and solve for x, you will get 20.
3x+32 = 5x-8 add 8 to both sides
3x+40 = 5x subtract 3x from both sides
40 = 2x divide by 2 on both sides
20 = x
Becca has 115 students. Susana has 8 fewer students than Becca. Erika has 25 more students than Susana. How many students does Susana have? *
Answer:
Susana will have 107 students.
Step-by-step explanation:
Becca have students = 115
Susana has 8 fewer students than Becca.We can write its as:
Becca has 115 students, so Susana will have 115-8 = 107 students
Because fewer means less than so, 8 less than 115 is 115-8
Erika has 25 more students than Susana.We can write it as:
Susana has 107 students, so Erika will have: 107+25 = 132 students.
because more means we need to add 25 students with number of students in Susana class.
So, Susana will have 107 students.
mZJ and m M are base angles of isosceles trapezoid JKLM. If mZJ = 18x + 8 and m_M=11x + 15 find m2K.
K
L
M
The question is incomplete. Here is the complete question.
m∠J and m∠Kare base angles of an isosceles trapezoid JKLM.
If m∠J = 18x + 8, and m∠M = 11x + 15 , find m∠K.
A. 1
B. 154
C. 77
D. 26
Answer: B. m∠K = 154
Step-by-step explanation: Isosceles trapezoid is a parallelogram with two parallel sides, called Base, and two non-parallel sides that have the same measure.
Related to internal angles, angles of the base are equal and opposite angles are supplementary.
In trapezoid JKLM, m∠J and m∠M are base angles, so they are equal:
18x + 8 = 11x + 15
7x = 7
x = 1
Now, m∠K is opposite so, they are supplementary, which means their sum results in 180°:
m∠J = 18(1) + 8
m∠J = 26
m∠K + m∠J = 180
m∠K + 26 = 180
m∠K = 154
The angle m∠K is 154°
William was parasailing at about 900 feet in the air while a shark swam
directly below him at 30 feet below the surface of the ocean. How far is
William from the shark?*
Answer:
930m
Step-by-step explanation:
It says they were 900 feet in the air below him is the ocean so thats 900 meters away from him and the shark is 30 feat below the surface of the ocean so you would do 900+30=930m so the shark is 930m away from him
A bacteria culture grows with constant relative growth rate. The bacteria count was 1296 after 2 hours and 531441 after 6 hours. Answer the following questions. 1. What is the relative growth rate
Answer:
1)k=1.50408
2)=64
3)P(t)=64e^(1.50408t)
4)=118098
5)t=6.42 hrs
Step-by-step explanation:
CHECK THE COMPLETE QUESTION BELOW
A bacteria culture grows with constant relative growth rate. The bacteria count was 1296 after 2 hours and 531441 after 6 hours. Answer the following questions.
1. What is the relative growth rate?
2. What was the initial size of the culture?
3. Find an expression for the number of bacteria after t hours.
4. Find the number of cells after 5 hours.
5. When will the population reach 1000000?
To find relative growth rate, expression below can be used
P(t)= Po*e^(kt)
Where k= growth rate
Po= initial amount
t= time in hours
We were given The bacteria count as 1296 after 2 hours and 531441 after 6 hours. This can be expressed below as
P(2)= P(o)e^(2k)= 1296.........eqn(1)
P(6)= P(o)e^(6k)= 531441........eqn(2)
If we find the ratio of the two eqn we have
531441/1296 =[P(o)e^(6k)]/[P(o)e^(2k)]
410.0625= e^(4k)
If we take Ln of both side
ln 410.0625=ln(e^4k)
k=1.50408
1)= k=1.50408
2)
From P(2)= Po*e^(2k)= 1296
1296=Po × e^(2×1.50408)
1296= Po × e^(3.00816)
Po=1296/e^(3.00816)
=64
3) the expression is P(t)=64e^(1.50408t)
4). P(5)=64e^(1.50408×5)
=118098
5) P(t)= 1,000,000
1000000=64e^(1.50408t)
1000000/64 = 64e^(1.50408t)
Ln(15625)=ln[e^(1.50408t)]
9.657=e^(1.50408t)
t=6.42 hrs
An electrician charges y amount to work x hours on a job. The electrician charges a $50 service fee and $30 per hour. His income per job can be modeled using a linear function. The electrician works maximum of 20 hours on any job. What is the range of values for one job?
Answer:
The range of values from one job is between $50 and $650.
Step-by-step explanation:
An electrician charges y amount to work x hours on a job. The electrician charges a $50 service fee and $30 per hour.
This means that his earnings in a job can be modeled by the following function:
[tex]y = 30x + 50[/tex]
The electrician works maximum of 20 hours on any job. What is the range of values for one job?
Minimum, he works 0 hours, and earns:
[tex]y(0) = 30(0) + 50 = 50[/tex]
Maximum, he works 20 hours, and earns:
[tex]y(20) = 30(20) + 50 = 650[/tex]
The range of values from one job is between $50 and $650.
• 6 mystery books
5 science books
• 4 history books
3 adventure books
.
Robero will randomly choose 1 book to read. What is the probability that he will
choose an adventure book?
Answer:
Step-by-step explanation:
How many books are there?
6+5+4+3 = 18 books total
How many are adventure books?
3
3 out of 18 books are adventure books
Robero has a 3/18 probability of choosing an adventure book.
Your teacher might want that probability in the lowest possible form. That is because it is the easiest to use and to understand.
You can do this by dividing both numbers by the "numerator" which is the first number in the fraction, (the adventure book count).
3/3 = 1
18/3 = 6
So the fraction can be reduced to 1/6.
Robero has a 1/6 chance of choosing an adventure book.
An oak tree is planted when it is 650 centimeters tall. What is this height in meters?
The height of the oak tree is
meters.
Answer:
The answer is 6.5 meters tall
Step-by-step explanation:
650 divided by 100
do your 2 loops to the left and you get 6.5
When Sandy and Allen's mother decorates the house for a holiday by herself, it takes her 5 hours. When both Sandy and Allen help, the three can finish the job in 2.5 hours. When only Allen helps his mother decorate, it takes the two 3.5 hours. How long would it take Sandy to decorate the house by herself?
Answer:
Step-by-step explanation:
Mother=5hrs
Sandy and Allen and mother=2.5
Allen with mother=3.5
It would take sandy 5hrs coz she decorates the house herself so if u think logically it took her mother 5 hrs so it would take her.Coz its only her doing it no one else is helping!
how to graph f(x)=7|x -4|-1
Answer:
here I drew it digitally Hope it helps
Step-by-step explanation:
The graph of the function is a V-shaped curve.
Given that we need to determine the graph of the function f(x) = 7|x - 4| - 1.
To graph the function f(x) = 7|x - 4| - 1, you can follow these steps:
Start by identifying the key points of the function. In this case, the function involves an absolute value, which means it may change direction at the point inside the absolute value.
Set the expression inside the absolute value equal to zero and solve for x to find this critical point:
|x - 4| = 0
x - 4 = 0
x = 4
So, the critical point is x = 4.
Next, consider the behavior of the function on each side of the critical point.
Choose some values of x less than and greater than 4 and substitute them into the function to determine the corresponding y-values.
Let's choose x = 2:
f(2) = 7|2 - 4| - 1
f(2) = 7|-2| - 1
f(2) = 7(2) - 1
f(2) = 14 - 1
f(2) = 13
Let's choose x = 6:
f(6) = 7|6 - 4| - 1
f(6) = 7|2| - 1
f(6) = 7(2) - 1
f(6) = 14 - 1
f(6) = 13
Therefore, we have the points (2, 13) and (6, 13) on the graph.
Plot the critical point and the points you found on the coordinate plane. Mark them on the x-axis and y-axis.
To graph the absolute value part of the function, draw a V-shaped curve with the vertex at the critical point (4, 0).
The arms of the V-shaped curve will pass through the plotted points (2, 13) and (6, 13).
Extend the arms of the V-shaped curve indefinitely in both directions.
Finally, add the constant term (-1) by shifting the entire graph down by 1 unit. This means that every y-value on the graph should be reduced by 1 unit.
Your completed graph of the function f(x) = 7|x - 4| - 1 should resemble a V-shaped curve with its vertex at (4, -1), passing through the points (2, 12) and (6, 12), and extending infinitely in both directions.
The graph of the function is attached.
Learn more about Function click;
https://brainly.com/question/30721594
#SPJ4
Pls help I need a good grade
Answer:
y=4/7x
Step-by-step explanation:
Graph the point (4,7) and (0,0) because x is pint and y is servings
The equation is y=4/7 x because the slope is 4/7 and it starts at the origin.
in the first week of July, a record 1,040 people went to the local swimming pool. In the
second week, 100 fewer people went to the pool than in the first week. In the third week, 130 more
people went to the pool than in the second week. In the fourth week, 290 fewer people went to the
pool than in the third week. What is the percent decrease in the number of people who went to the
pool over these four weeks?
Answer: 25%
Step-by-step explanation:
First week of July = 1040 people
Fourth week of July = 1040- 100 + 130 - 290 = 780
The number of people that went to the swimming pool in 1st week was 1040 while the 4th week had 780. The percentage decrease will be:
= (1040 - 780) / 1040 × 100
= (260 / 1040) × 100
= 0.25 × 100
= 25%
1. Evaluate when y=3. 3y + 2 (2y+6)
33
27
3y+12
Answer:
33
Step-by-step explanation:
3(3) + 2 (2(3)+6)
=9 + 2 (12)
=9 + 24
=33
What is the domain of the function y=2./X-6?
O 0x
O 3x<0
O 6x<0
Answer:
because this is a positive root function, domain is positive so
0<=x<infinity
Step-by-step explanation:
If the scale factor of a figure is 6, what is the new length of the enlarged figure matched to the length of the
orginal?
Answer:
1=6
7=42
2.5=15
5=30
Step-by-step explanation:
Multiply each original value by the scale factor
1×6=6
7×6=42
2.5×6=15 (2×6 + 6×0.5)
5×6=30
Answer:
Original: 5 cm = Enlarged: 30 cm
Original: 7 cm = Enlarged: 42 cm
Original: 2.5 cm = Enlarged: 15 cm
Original: 1 cm = Enlarged: 6 cm
Step-by-step explanation:
Edg Warm-up answer 2021
I need help! I have an idea of which pick.
Answer: ok so I am bad at this but i would pick.....the top one
Step-by-step explanation:
Please answer this correctly without making mistakes
Answer:
1 mi 1927 ft
Step-by-step explanation:
Turn everything into feet:
5mi x 5280 ft/1 mi = 26,400ft + 1,348 ft = 27, 748 ft
3mi x 5280 ft/1 mi = 15,840ft + 4,701 ft = 20,541 ft
Do the subtration that the problem wants you to do:
27, 748 ft - 20,541 ft = 7,207 ft
Turn the answer into mi & ft:
7,207 ft - 5280 ft = 1927 ft
=
1 mi 1927 ft
at 6:00 a.m., the temperature is 58°. At 2:00 p.m., temperature is 76°. Find the rate of change in degrees per hour during this time.
Answer:
The rate of change is of 2.25 degrees per hour.
Step-by-step explanation:
The rate of change in degrees per hour is given by by the change in temperature divided by the change in time(by number of hours).
In this question:
From 6 am to 2 pm, there are 12 - 6 + 2 - 0 = 6 + 2 = 8 hours
The change in temperature was of 76 - 58 = 18º
Rate of change:
18º/8 = 2.25º
The rate of change is of 2.25 degrees per hour.
stephanie invests $3,991 in a retirement account with a fixed annual interest rate of 6% compound continuously. What will the account balance be after 13 years?
Answer:
7103.98
Step-by-step explanation:
1) 3991 × 6% = 239.46 intrest rate of a year
2) 239.46 × 13 = 3112.98 intrest rate of 6% for 13yrs
3) 3991 + 3112.98 = 7103.98 Stephanie account balance after 13 yrs
I need help plzzzzzzzz
Answer:
B and 7
Step-by-step explanation:
because 9 minus 2 is 7
Which equation shows the zero property of multiplication
A. 4×0=0
B. 9+9+9=3×9
C. 3×6=6×3
D. 5×1=1
Answer:
A. 4×0= 0
Step-by-step explanation:
since it shows that any number you multiply by 0 still gives you 0
Evaluate the expression.
Answer: 13
Step-by-step explanation:
7. A bag of M&Ms dumped on the table and you court 91 blue pieces Approximately how many
M&ms do you expect to be in the entire bag based on the proportions of the entire class?
Answer:
i would think that there would be at least 100 m&m in the bag
Step-by-step explanation:
i might be wrong a hven't had m&m in about 10 years
The distribution of the heights of students in a large class is roughly Normal. Moreover, the mean height is 68 inches, and approximately 95% of the heights are between 62 and 74inches. Thus, the standard deviation of the height distribution is approximately equal to
Answer:
Probably equal to 6 or 7.
Step-by-step explanation:
tan^2 70° -sec^2 70°
Answer:
-1
Step-by-step explanation:
We need to find the value of tan² 70° -sec² 70°.
We know that,
[tex]\sec^2\theta-\tan^2\theta=1[/tex] ...(1)
We can write the given expression as :
tan² 70° -sec² 70° = -(-tan² 70° +sec² 70°)
=-(sec² 70°-tan² 70°)
Using identity (1)
=-(1)
= -1
Hence, the value of the given expression is -1.
Carlos tried to find a fraction equivalent to 2/3. Below is his work. Which
statement describes Carlos' error?
2/3=2/3 x 1/4=2/12
He should have divided by 1/4.
He incorrectly multiplied 2/3 and 1/4.
It is impossible to find a fraction equivalent to 2/3.
He did not multiply 2/3 by a fraction equal to 1.
Answer:
He did not multiply 2/3 by a fraction equal to 1.
Step-by-step explanation:
For example he could have multiplied 2/3 by 4/4
= 2*4/3*4 = 8/12,