The value of the base is 7 (option A)
Explanation:Given:
[tex]7^4\text{ = 2401}[/tex]To find:
To complefe the sentence by ill ingthe blanks
In powers and exponents:
[tex]For\text{ }a^b:\text{ a = base, b = exponent}[/tex][tex]\begin{gathered} Applying\text{ same principle:} \\ 7^4:\text{ Base = 7, exponent = 4} \end{gathered}[/tex]The value of the base is 7 (option A)
Tickets of a program at college cost $4 for general admission or $3 with a student ID. If 181 people paid to see a performance and$616 was collected, how many of each type of ticket were sold?In a program at college tickets ?were sold for general admission and?tickets were sold with a student ID.
Tickets were sold for a program at a college .It cost $4 for general admission or $3 with a student ID.
Let
number of people that used student ID = x
number of people that used the general admission cost = y
[tex]x\text{ + y = 181}[/tex][tex]3x\text{ + 4y = 616}[/tex][tex]\begin{gathered} x+y\text{ = 181} \\ 3x+4y=616 \\ x=181-y \\ 3(181-y)+4y\text{ = 616} \\ 543-3y+4y=616 \\ y=616-543 \\ y=73 \\ x+73=181 \\ x=181-73 \\ x=108 \end{gathered}[/tex]108 used the student ID ticket while 73 used the general admission ticket .
2) A toy store is having a sale on puzzles. For each puzzle, Naomi buys she
gets 75% off of a second puzzle. The original price of each puzzle is
$16.50. Naomi bought 4 puzzles. How much did she spend?
Naomi bought 4 puzzles and she spend total $21.91
What is percentage?The Latin word "per centum," which means "by the hundred," is where the word "percentage" originally came from. With 100 as the denominator, percentages are fractions. To put it another way, it's the relationship between a component and a whole in which the value of the whole is always assumed to be 100.
Given that : A toy store is having a sale on puzzles. For each puzzle, Naomi buys she gets 75% off of a second puzzle. The original price of each puzzle is $16.50. Naomi bought 4 puzzles
Naomi first puzzle price is $16.50
she get 75% off on as second puzzle
=[tex]16.50(\frac{75}{100} )[/tex]
=12.375
=16.50 - 12.375
= 4.125
So , second puzzle price is 4.124
=[tex]4.125(\frac{75}{100} )[/tex]
=3.09
= 4.125 - 3.09
=1.03
So , third puzzle price is 1.03
=[tex]1.03(\frac{75}{100} )[/tex]
=0.7725
=0.2575
So ,fourth puzzle price is 16.50+4.124+1.03+ 0.2575
=21.91
Total naomi spend 0.2575
To learn more about percentage visit :
brainly.com/question/28269290
#SPJ9
What is the completely simplified form of the expression 2(1 - 3x) - (5x + 1)?
A) -11x + 1
B) -8x + 1
C) -11x + 3
D) -8x + 3
Answer:
A
Step-by-step explanation:
2(1-3x)-(5x+1)
=2-6x-5x-1
=1-6x-5x
=1-11x/-11x+1
all the odd numbers from 51 to 5001 are written what is the total number of digits used
Answer:
9404 digits
Step-by-step explanation:
The numbers written:
51, 53, 55, 57, 59, . . . 97, 99 [5*5=25 numbers; 50 digits]
101, 103, 105, . . . 997, 999 [9*50=450 numbers; 1350 digits]
1001, 1003, 1005, . . . 4997, 4999, 5001 [40*50+1=2001 numbers; 8004 digits]
Total:
50 + 1350 + 8004 = 9404 digits
Tina has two bags of counters. Bag A has 5 red and 3 blue. Bag B has 4 red and 5 blue. Work out the probability that tina takes two blue counters in fraction.
Tina has two bags of counters. Bag A has 5 red and 3 blue. Bag B has 4 red and 5 blue. The probability that tina takes two blue counters in fraction is 15/72
What is the probability?Given parameters:
Bag A= 5 red + 3 blue
Bag B = 4 red + 5 blue
Hence,
Total counters in bag A = 5 +3 = 8
Total counters in bag B = 4 + 5 = 9
Now let determine the probability that she takes two blue counters
Probability = 3 /8 × 5 /9
Probability = 15 / 72
Therefore 15 / 72 is the probability that two blue was taken.
Learn more about probability here: https://brainly.com/question/24756209
#SPJ1
determine the domain of each function yx-3x=3y-1
Domain of the given function yx-3x=3y-1 is ( -∞,3) ∪ (3,∞), {x|x [tex]\neq[/tex] 3}.
What is a domain?The dependent variable and the independent variable are the two types of variables used to define a function.
The domain of a function is a set of all possible values of x which is an independent variable. For example The domains of function f(x)=x² can be all real numbers.
Despite x=0, the domain of g(x)=1/x can contain any real number.
The input values to a function are referred to as domains, while the output values are referred to as the range. The data flow is as follows:
Domain → Function → Range
We are aware that the value of x is the function's domain. Therefore, the domain is ( -∞,3) ∪ (3,∞), {x|x [tex]\neq[/tex] 3} for the provided function.
To know more about the domain, visit:
https://brainly.com/question/13113489
#SPJ9
The amount of vinegar that melody used for a recipe can be written as a whole number which could be the amount of vinegar that Melody used?A. -3.75 tspB. 1.5 tspC. 2 1/3 tspD. 12/3
Given:
The amount of vinegar that melody used for a recipe can be written as a whole number.
So, we will check the options to find which one represents a whole number
The whole number does not contain numbers after the decimal point and also the denominator will be 1
So, the answer is option D) 12/3 = 4
If 3 dogs eat 4 pounds of food per day, how many dogs eat 15 pounds of food?
11 dogs will eat 15 pounds of food.
According to the question,
We have the following information:
3 dogs eat 4 pounds.
We have to find how many dogs will eat 15 pounds.
We have the following expression:
4 pounds = 3 dogs
We can treat dog as a non-living object or a product.
So, we can find the parts devoted to 1 pound:
1 pound = 3/4
Now, we have to find the same for 15 pounds:
15 pounds = (3/4)*15
15 pounds = 11.25
Now, note that the number of dogs can not be in points. So, we will round it off to form a whole number.
So, 15 pounds = 11 dogs
Hence, 15 pounds of food is enough for 11 dogs.
To know more about pounds here
https://brainly.com/question/27994061
#SPJ1
Find the volume of the cone, use 3 for π
Given:
Cone with diameter of 14 ft, and height of 4 ft.
First, determine the radius of the cone, by dividing the diameter by 2.
[tex]\begin{gathered} r=\frac{d}{2} \\ r=\frac{14\text{ ft}}{2} \\ r=7\text{ ft} \end{gathered}[/tex]Now that we have the radius, substitute π = 3, r = 7 ft, and h = 4 ft to the formula of the volume of the cone.
[tex]\begin{gathered} V=\frac{\pi r^2h}{3} \\ V=\frac{(3)(7\text{ ft})^2(4\text{ ft})}{3} \\ V=\frac{3(49\text{ ft}^2)(4\text{ ft})}{3} \\ V=\frac{588\text{ ft}^3}{3} \\ V=196\text{ ft}^3 \\ \\ \text{Therefore, the volume of the cone is }196\text{ ft}^3. \end{gathered}[/tex]two trains travel at a constant speed. Train a travels 1400 miles in 5 hours and train b travels 2100 miles in 7 hours. Which train travels faster?
What are the factors of this expression?
3/4xy
Drag all of the factors of the expression into the box.
The factors of the expression 3xy/4 are 3/4, -1, x and y.
According to the question,
We have the following expression:
3xy/4
Now, we know that when we say factors of an expression then it means that we are talking about numbers or variables which can divide the given expression.
(For example, the factors of 24xy are 24 and the factors of 24 which are 1,2,4,6 including the two variables x and y.)
So, in this case, we will separate each number and variable to find the factors of the given expression:
3/4, x and y and -1
Hence, the factors of the expression 3xy/4 are 3/4, -1, x and y.
To know more about factors here
https://brainly.com/question/19386208
#SPJ1
The proportion of a population with a characteristic of interest is p = 0.37. What is the standard deviation of the sampling distribution when the sample size is 1,600?
The standard deviation (SD) of a sample proportion obtained when the sample size is 1,600 is equal to 0.0121.
What is a sample proportion?A sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.
Mathematically, sample proportion can be calculated by using this formula:
[tex]\hat{p} = \frac{x}{n}[/tex]
Where:
x represent the number of individuals with a specified characteristic.n represent the total number of individuals in a sample.In Mathematics, the standard deviation (SD) of a sample proportion obtained when the sample size is 1,600 can be calculated by using this formula:
Standard deviation (SD) = √(p(1 - p)/n)
Substituting the given parameters into the formula, we have;
Standard deviation (SD) = √(0.37(1 - 0.37)/1,600)
Standard deviation (SD) = √(0.37(0.63)/1,600)
Standard deviation (SD) = √(0.2331)/1,600)
Standard deviation (SD) = √0.0001457
Standard deviation (SD) = 0.0121.
Read more on standard deviation here: https://brainly.com/question/14467769
#SPJ1
Plllsss help answer the question in the picture below!!!!!
The proportion of the generated values that fall inside the range of each histogram bar is used to compute the vertical scale. The standard deviation is an indicator of how much the values in the data set typically deviate from the mean.
What is the difference between standard deviation and histogram?It always displays the median and the middle 50% of the data. For data displayed in histograms, a similar spread measurement is helpful. The term for it is the standard deviation. The standard deviation is an indicator of how much the values in the data set typically deviate from the mean.
The proportion of the generated values that fall inside the range of each histogram bar is used to compute the vertical scale. The sum of the bar heights is therefore one. Only discrete variables (right), where the histogram heights now total to unity, are suitable for relative frequency analysis.
A measurement of how far points deviate from the mean is the standard deviation. The first histogram includes fewer points that are close to the mean and more points that are distant from the mean (scores of 0, 1, 9, and 10). (scores of 4, 5 and 6). As a result, its standard deviation will be higher.
To learn more about histogram data refer to:
https://brainly.com/question/25983327
#SPJ13
Inverse & Composition of Functions
1. Find the inverse of f(x) = x² + 2
Answer: √x−2,−√x−2
Step-by-step explanation:
State the zero(s) of the function.
f(x) = x³ - 2x² - x + 2
O a
O b
Ос
Od
1 and 2
-1, 1, and 2
-1, 0, and 1
-2, -1, and 1
Answer:
-1, 1, and 2
Step-by-step explanation:
[tex]x^3 - 2x^2 - x+2=0 \\ \\ x^2(x-2)-(x-2)=0 \\ \\ (x^2-1)(x-2)=0 \\ \\ (x-1)(x+1)(x-2)=0 \\ \\ x=-1, 1, 2[/tex]
Christine gets $71 for working the weekend. She buys $53 in clothes and then
makes another $45 babysitting. How much does she have now?
Answer:
63 i think!
Step-by-step explanation:
71-53 is 18. 18+45 is 63!
Im so so so sorry if im wrong, have a nice day friend!: )
Which number is equivalent to 3^(4)÷3^(2)
Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
This problem comes straight from a standardized test given in New York in 2014.
Find the 9th term of the geometric sequence 4, -16, 64, ...
Answer:
4 to the 9th power :D
Step-by-step explanation:
Please Brainliest
It says if Jamal rides his bike to school and back home. It is two miles each way. How many miles does he ride in five days?
Answer:
20 miles
Step-by-step explanation:
If it is two miles each way, then he rides a total of 4 miles every day.
Multiply 4 by 5
4 x 5 = 20
20 miles
Answer:
20 miles
Step-by-step explanation:
he always goes to school and comes back, to that means each day where he goes to school he rides 4 miles each time.
if he does this for 5 days you can write the following:
4*5 = 20 or if you haven't learned multiplication you can think of it like this:
4+4+4+4+4= 20
Carter has 60 balloons , of the balloons are black, and is of the balloons are white. The rest of theballoons are red. How many red balloons Carter has? Show your calculations in the space provided
we have 60 balloons
black balloons are =4/12*60
and that is =20 black balloons
red balloons= 3/12*60=5*3=15
the rest are white
white balloons= 60- 20 black-15 red=25 white balloons
Can you please explain? I have the other options also.
Given
[tex]f(x)=\frac{1}{3}\lvert x+4\rvert-4[/tex]The graph
Navy paint is made by mixing 8 cups of blue paint with 2 cups of black paint. If he only has 1 cup of blue pain, how much black paint should he use?
For 1 cup of blue paint, 1/4 cups of black paint is needed
How to determine the amount of black paint?The given parameters are
8 cups of blue paint needed for 2 cups of black paint
This means that
8 cups of blue paint needed = 2 cups of black paint
Divide both sides of the equation by 8
So, we have the following equation
8/8 cups of blue paint needed = 2/8 cups of black paint
Evaluate the quotient
So, we have the following equation
1 cup of blue paint needed = 1/4 cups of black paint
Hence, the amount of black paint is 1/4
Read more about proportions at
https://brainly.com/question/18437927
#SPJ1
find the ratio of the boxes and the circles there are 7 boxes and 10 circles
The ratio of boxes to the circles is 7: 10
Justin places a bet on the giants to win the superbowl. the odds are 2:3. a) Are the giants expected to win? why or why not?b) Find P(Giants win)=
To convert the odds to a probability, we can divide the odds by one plus the odds.
then, in this case we have the following:
[tex]\begin{gathered} \text{odds:} \\ 2\colon3=\frac{2}{3} \\ \Rightarrow1+\frac{2}{3}=\frac{5}{3} \end{gathered}[/tex]then, we have that the probability is:
[tex]\frac{\frac{2}{3}}{\frac{5}{3}}=\frac{2\cdot3}{5\cdot3}=\frac{2}{5}[/tex]thus, the probability that the Giants will win the superbowl is 2/5=0.4=40%
As we can see, we cannot expect for sure that the giants will win
Triangle ABC has vertices A(1,4), B (-3,5) and C(-2, 4) and is rotated 90
degrees clockwise about the origin. What will be the coordinates of C'?
O (2,-4)
O (4,-1)
O(-4,-2)
O (4,2)
Check the picture below.
Find the value of x in the diagram. ΔPQR ~ ΔSTU
Pls help me with this ill give brainlist
A cylindrical tank with radius 5 m is being filled with water at a rate of 4 m3/min. How fast is the height of the water increasing (in m/min)?
The height of the water increasing at a rate of 0.05 m/min
The Volume of a cylinder is
[tex]V = \pi r^{2}h[/tex]
where r is the radius and h is the height of the cylinder.
Given that the radius r of cylinder is 5m and the water is filled at the rate of 4 [tex]m^{3} /min[/tex]
[tex]V = 25\pi h[/tex] ...(1)
Now, differentiating (1) with respect to time t,
[tex]\frac{dV}{dt} = 25\pi \frac{dh}{dt}[/tex]
Substituting the value of [tex]\frac{dV}{dt}[/tex]
4 = [tex]25\pi \frac{dh}{dt}[/tex]
[tex]\frac{dh}{dt}[/tex] = [tex]\frac{4}{25\pi }[/tex]
[tex]\frac{dh}{dt}[/tex] = 0.05 m/min
Hence, the water is increasing at the rate of 0.05 m/min
Know more about Rate: -https://brainly.com/question/24179936
#SPJ9
following points would fall on the line produced by the point-slope form equation y - 3 = 1/2(x - 7) when graphed
Points which would fall on the line produced by the point-slope form equation y - 3=1/2(x - 7) when graphed are as follow:
c. (1,0)
d. (3, 1)
As given,
Equation of given line
y - 3=1/2(x - 7)
Points which would fall on the line produced by the point-slope form:
a.(0,1)
x=0
y-3=1/2(0-7)
⇒ y=-1/2
b.(1,-1)
x=1
y-3=1/2(1-7)
⇒y=0
c.(1,0)
x=1
y-3=1/2(1-7)
⇒y=0
Required point
d.(3,1)
x=3
y-3=1/2(3-7)
⇒y=1
Required point
Therefore, points which would fall on line produced by the point-slope form equation y - 3 = 1/2(x - 7) when graphed are as follow:
c. (1,0)
d. (3, 1)
The complete question is :
Which of the following points would fall on the line produced by the point-slope form equation y - 3 = 1/2(x - 7) when graphed?
a. (0,1) b. ( 1,-1) c. (1,0) d. (3,1)
Learn more about equation here
brainly.com/question/10413253
#SPJ1
classify the system as "consistentdependent", "consistent independent", or "inconsistent". choose the best description of its solution. if the system hs exactly one solution give it solution.
The solution of a system is the point where the lines described by the equations of the system intersect, If a system has no solution, it is said to be inconsistent, In this case, both lines have the same slope (-3/2) which means that they are parallel each other, then they will never intersect, and the system has no solution and is inconsistent