Answer:
To solve the equation 12^(x + 1) = 79 for x, we need to isolate the exponent.
Step 1: Subtract 1 from both sides of the equation:
12^(x + 1) - 1 = 79 - 1
12^(x + 1) - 1 = 78
Step 2: Rewrite 12^(x + 1) as (12^x)(12^1) using the exponent property:
(12^x)(12) - 1 = 78
Step 3: Simplify the left side of the equation:
12(12^x) - 1 = 78
Step 4: Add 1 to both sides of the equation:
12(12^x) = 78 + 1
12(12^x) = 79
Step 5: Divide both sides of the equation by 12:
(12(12^x))/12 = 79/12
12^x = 79/12
Step 6: Take the logarithm (base 12) of both sides of the equation:
log12(12^x) = log12(79/12)
x = log12(79/12)
Therefore, the solution for x is x = log12(79/12)
Hope this helps!
On a multiple-choice test over English vocabulary, Roy got 16 out of 20 correct. What percent of the problems did she
miss? Round your answer to the nearest tenth of a percent, if necessary.
Answer:
20%
Step-by-step explanation:
100/20 (the number of questions) = 5 (how much each question is worth)
16(the number of questions she got correct) times 5 is 80
She got 80 percent correct
That means that she missed 20 percent
Determine the probability of having 2 girls and 3 boys in a 5-child family assuming boys and girls are equally likely.
The probability of having 2 girls and 3 boys in a 5-child family is 5/16
What is Probability ?Probability is the likeliness of an event to happen .
Total Probability of having 5 kids as boy or girl is 2⁵ = 32
The probability that there is 3 boys in the 5 children and remaining two are girls
[tex]\rm ^5C_3[/tex]
= (5*4*3*2*1)/(2*1)(3.2.1)
= 10 ways
probability of having 2 girls and 3 boys in a 5-child family is
=10/32
= 5/16
Therefore , the probability of having 2 girls and 3 boys in a 5-child family is 5/16
To know more about Probability
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Use Guauss-jordan elimination to solve the following linear system.
5x - 2y = -2
-x + 4y = 4
Answer:
wdym
Step-by-step explanation:
There are 135 students going on a field trip. Each school bus holds 40 students. How many buses are needed?
Answer
4
Step-by-step explanation:
135/40=3.37 so 4 buses are needed
Answer:
4 busses are needed. Well 135 students going on a field trip and each bus holds 40 students. There can’t be “half” a bus but instead you can have a bus thats not all the way filled. Plus youc an’t duplicate or divide the a light of children so 4 busses.
Step-by-step explanation:
40x ≥ 135
Solve that and the answer has to be a whole number greater then the proposed decimal.
135/40= 3.375
3.375 and it can’t be rounded down and only up to the nearest whole digit so round it to 4.
4 busses.
hey guys help pls!!!
Answer:
B
Step-by-step explanation:
I drew it out and triangle b is correct
If Ashton drives 228 miles in 6 hours, what is his unit rate?
Answer:
The unit rate would be 38 miles per hour
Step-by-step explanation:
If you divide 228 by 6 you would get 38 and to further prove this do 38 x 6 and your answer would be 228
Perform the indicated operation and write the answer in the form a + bi.
(9+ i)(-6+5i)
Answer:
-59 + 39i
Step-by-step explanation:
Apply the Distributive Property of Multiplication:
(9)(-6) + (9)(5 i) - 6i - 5 (recall that i^2 = -1)
or:
-54 + 45i - 6i - 5, or
-59 + 39i
Rename 5/12 and 7/8 using the least common denominator
Answer:
10/24 and 21/24
Step-by-step explanation:
So the least number that both 12 and 8 will divide into is 24
so 5x2/24 and 7x3/24 so the fractions are 10/24 and 21/24
Answer:
10/24 and 21/24
Step-by-step explanation:
answers for plato test
An expression is shown.
6 n
What is the value of the expression when n=7?
Answer:
42
Explanation:
replace n by 7 since they are equal and therefore the same thing
so 6*7=42
Question 12
Find the volume of this cone. Round to the nearest hundredth.
9 ft
8 ft
cm cubed
Answer:
150.8 I think
Step-by-step explanation:
ORDER THE SIDE LENGTHS FROM LEAST TO GREATEST
help pls asap
Answer:
m<K, m<J, m<I
Step-by-step explanation:
The size of angles and sides correspond. The larger the side, the larger the angle must be. So, this means the largest angle will be directly across from the longest side. Since <K is across from the smallest side, it is the smallest angle. Additionally, <I is across from the longest side so it is the largest.
72 in long and 9 in wide and 6in tall if one of the sandboxes contains 425 cubic in how many bag should she buy
Answer:
https://concalculator.com/sand-calculator/
Step-by-step explanation:
thats the link to the answer
What is the answer please help me no links no links
PLEASE ANSWER ASAP! NO SCAM LINKS OR REPORTED!
Answer:
Answer is D!
Step-by-step explanation:
y=-3x-2
Substitute x and y values and check
-3(-2) = 6 - 2 = 4
A high-school administrator who is concerned about the amount of sleep the students in his district are getting selects a random sample of 14 seniors in his district and asks them how many hours of sleep they get on a typical school night. He then uses school records to determine the most recent grade-point average (GPA) for each student. Here is the regression output. Assume the conditions for inference are met. 1.
Predictor Coef SE Coef T P
Constant 2.6476 0.3281 8.07 0.000
Sleep 0.10176 0.04347 **** *****
S = 0.1804
R-Sq = 31.3%
R-Sq(adj) = 25.6%
Required:
Predict the GPA for a senior in this district who gets 8 hours of sleep on a typical school night.
Answer:
3.46
Step-by-step explanation:
Given the regression output :
Predictor Coef ___SE __ Coef __ T ___ P
Constant 2.6476_0.3281_ 8.07 0.000
Sleep 0.10176 0.04347 **** *****
S = 0.1804
R-Sq = 31.3%
R-Sq(adj) = 25.6%
The regression equation which models the relationship between hours of sleep a student gets and his GPA can be obtained from the regression output :
The GPA is the dependent, y variable
Hours of sleep is the independent, x variable
y = 0.10176x + 2.6476
Hence, the GPA of a student who gets 8 hours of sleep on a typical school can be computed thus ;
Hours of sleep, x = 8
y = 0.10176(8) + 2.6476
y = 0.81408 + 2.6476
y = 3.46168
Thus, predicted GPA = 3.46
11. The Smith Family Restaurant has 300 tables. On one evening, there were reservations for 1/10 of
the tables. How many tables were reserved?
What is the answer for this question
Answer:
30 tables
Step-by-step explanation:
1/10 of 300 is 30
Answer:
30 tables were reserved
Step-by-step explanation:
1/10 × 300 = 30
someone please help me answer this!!
Answer:
b = 21 ft is the answer.
Step-by-step explanation:
a = 28 ft
b = ?
c = 35 ft
According to the Pythagoras theorem,
a² + b² = c²
28² + b² = 35²
784 + b² = 1225
b² = 1225 - 784
b² = 441
b = 21 ft
∴ b = 21 ft is the length of the missing leg.
Pls help me complete this
Answer: 1/10, 3/20, 1/4, 1/5, 3/10
Step-by-step explanation: So first, you need to find the total number of times Leon spins the spinner, which is 20. You get 20 by counting the total number of x's there are.
Then you need to find the number of times each number got landed on. In order, it would be 2/20, 3/20, 5/20, 4/20, and 6/20.
Next, you have to simplify them. 2/20 simplified is 1/10, then 3/20 can't be simplified, so leave it like that, 5/20 would be 1/4, 4/20 would be 1/5, and finally, 6/20 would be 3/10.
The diameter of a circle is 2 feet. What is the circle's area?
At a restaurant, the bill comes to $80. You decide to leave a 12 % tip. How much did you leave for the tip?
Answer: 0.12
Step-by-step explanation: I think that should be the answer if not im sorry i just wanted to help. :(
A car salesperson sells cars at prices ranging from $5,000 to $45,000. The histogram shows the distribution of the numbers of cars he expects to sell over the next 10 years.
The median car price is
. The distribution exhibits
.
Answer:
B. $25000
C. Symmetry
Step-by-step explanation:
Hope this helps
the picture has the question
Combine the like terms to create an equivalent expression.
and please only use the signs what I gave you in the screen shot thank you
Answer: 6k+19
Step-by-step explanation:
Like terms are terms with the same variables and powers. Since k is the variable in 7k and k, we have to do 7k-k=6k. Then because 19 isn’t a like term to 6k we just leave it. So the answer is 6k+19.
Hope this helps :)
In the small town of Middleton, there are only two restaurants that serve pizza- a small family owned Italian restaurant and a new franchise pizza restaurant. In a recent review of the franchise, a food critic reported that the pizza was delicious as promised. The only negative review that the franchise received from the critic was in reference to the inaccurate delivery time quoted during the online order process. In response to the article, the franchise owner used a program to analyze the online pizza orders that took place during the week before the review. He chose to track the orders at 6pm each day. He recorded his results in the frequency table below. Monday Tuesday Wednesday Thursday Friday On Time ||| || Late | ||| |||| Use the frequency table to create a box and whisker plot of the On Time data values. In your final answer, include all calculations necessary to create the box and whisker plot. Use the frequency table to create a box and whisker plot of the Late data values. In your final answer, include all calculations necessary to create the box and whisker plot.
Step-by-step explanation:
1.
Yes , the data franchise owner is collecting, will be helpful in order to counter the criticism from the critic. As he has a record for every delivery they are making on daily basis.
2.
The scenario is that for every fifth customer , the owner cross the four lines he makes. Thus a pack of five and easy to remember. As the data on regular week days is less, As can do the same for the third customer. Crossing the 2 lines for 3rd customer.
3.
With this provision of crossing the third customer, the owner can have a better check on the late delivery. As it will bring in his notice earlier as compared to fifth crossing.
4.
With the data as provided in the table, we can come to the conclusion that on weekends , i.e. both on time delivery and late deliveries are high in numbers. It must be because of high demand on that days. So owner must make some provision like hiring some more delivery boys for weekend in order to reduce the late deliveries.
Answer:
Can I get brainliest please??
Step-by-step explanation:
what is the measurements of the circle?
Answer:
xw= 60°
ym=60°
mw=120°
Step-by-step explanation:
Angles on a straight line add up to 180°. Therefore 180-78+42°=60°
Opposite angles are equal. Therefore 60°=60°
Angles in a circle = 360° Therefore 78°+42°+60°+60°+120°=360°
Sand will be placed under the base of a circular pool with a diameter of 20 feet. 1 bag of sand covers about 6 square feet. How many bags of sand are needed? Use 3.14 for pi. Round bags up.
9514 1404 393
Answer:
53
Step-by-step explanation:
The area of the pool is ...
A = πr²
A = 3.14×(10 ft)² = 314 ft²
The number of bags of sand required is ...
(314 ft²)/(6 ft²/bag) ≈ 52.33 bags
53 bags of sand are needed.
marks lawn care company charges a flat fee of $15, plus $9 per half hour for every job. which equation can be used to find the amount Y that marks lawn care company would charge for a lawn job that takes X hours to complete?
A. Y=15x+18
B. Y=18x+15
C. Y=15x+9
D. Y=9x+15
Answer:
y= 18x + 15
Step-by-step explanation:
If its 9 dollars per hour than it would be 18 per hour. The independent variable is the how long itll take, and the 15 would be without starting. So it results into B) y=18x+15
Answer:
D. (Y=9x+15)
Step-by-step explanation:
This one was pretty easy to find out using common sense, it can be solved via knowing that the only variable being multiplied is 9, so find 9x+15 and there is your answer.
Please please help please
Answer:
6 times larger
Step-by-step explanation:
First, find the area of both.
Mary: 4*5.5=22
Lisa: 24*5.5=132
Then find what multiplied by 22 would equal 132. This is easy because it's a multiple-choice question.
22*20=440, so A is incorrect
We already know they are not equal, so then B can be crossed out
22*3=66, C would be incorrect
Leaving the only choice left to be the correct answer
22*6=132
A recipe for oatmeal which serves 4 people uses 3 cups of rolled oats.
How many cups of rolled oats will be used for oatmeal which serves 6 people?
O A. 2 cups
OB. 2 cups
Oc. 4 41
cups
D. 5 cups
o
E. 8 cups
The 4.5 or 4 whole number 1/2 cups of rolled oats will be used for oatmeal which serves 6 people option (C) is correct.
What is a fraction?Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
A recipe for oatmeal that serves 4 people uses 3 cups of rolled oats.
Let's suppose the x number of cups will be used to serve 6 people.
Mathematically,
4 people use 3 cups
6 people use x cups. then:
[tex]\frac{4}{6} =\frac{3}{x}[/tex]
4x = 6×3 (after cross multiplication)
4x = 18
x = 4.5 (divide by 4 on both sides)
[tex]\rm x=4\frac{1}{2}[/tex]
Thus, the 4.5 or 4 whole number 1/2 cups of rolled oats will be used for oatmeal which serves 6 people option (C) is correct.
Learn more about the fraction here:
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write the following ratios in their simplest form 32: 24: 40
Answer: 4, 3, 5
Step-by-step explanation: Just simplify by dividing