Answer:
-35.7 as a mixed number is -35 and 7/10.
Answer:
Your answer should be [tex]-35 \frac{7}{10}[/tex]
Step-by-step explanation:
Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is 1 number to the right of the decimal point, place the decimal number over 10^1(10). Next, add the whole number to the left of the decimal.
The city council voted on a new tax. The council has 60 members and 70% of the council members voted in favor of the new tax. How many members voted in favor of the tax?
A right prism with a triangular base has a volume of 195 mm3 . The right prism is 13 mm tall. The triangular base of the prism has a base length of 5 mm .
What is the base height of the triangular base of the right prism? Round your answer to the nearest whole millimeter, if necessary.
A city official would like to know if there is public support for increasing funding for arts programs. To collect data, the city official stands outside a concert hall after a show and surveys every 25th person to exit and asks their opinion about raising funds for the arts. Which of the following describes the population in this scenario?
A. all residents of the city
B. the members of the city council
C. all city residents who support the arts
D. the people surveyed by the city official
All city residents who support the arts. Therefore, the option C is the correct answer.
As the city official would lie to know that if public support for increased funding of arts programs. By collecting data the officials show the survey after every 25 persons and ask for their opinion.
They also tend to raise a fund that states the population in the scenario of a city resident that supports the arts.
The population in this scenario is the people surveyed by the city official. The city official is conducting a survey outside a concert hall after a show, which means they are targeting people who have just attended a show. Since the city official is asking every 25th person to exit their opinion about raising funds for the arts, these are the people who are included in the population being surveyed.
Therefore, the option C is the correct answer.
Learn more about the data here:
brainly.com/question/12918406.
#SPJ1
Find the volume of this sphere.
Use 3 for TT.
V≈ [?]cm³
V = πr³
6 cm
The volume of the sphere with a diameter of 6cm is 108 cm³.
What is the volume of the sphere?A sphere is simply a three-dimensional geometric object that is perfectly symmetrical in all directions.
The volume of a sphere is expressed as:
Volume = (4/3)πr³
Where r is the radius of the sphere and π is the mathematical constant pi
Given the data in the question:
Diameter d = 6cm
Radius is half of diameter
Radius r - 6cm/2
Radius r = 3cm
Also, π = 3
Plug the given values into the above formula.
Volume = (4/3)πr³
Volume = (4/3)π3³
Volume = (4/3)(3)(27)
Volume = 108 cm³
Therefore, the volume is 108 cm³.
Learn about volume of hemisphere here: brainly.com/question/22886594
#SPJ1
Need help on this please
The line of reflection between pentagons PQRST and P'Q'R'S'T' include the following: A. x = 0.
What is a reflection over the y-axis?In Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).
By applying a reflection over the y-axis to the coordinate of the given pentagon PQRST, we have the following coordinates:
Coordinate P = (-4, 6) → Coordinate P' = (-(-4), 6) = (4, 6).
In this scenario and exercise, a line of reflection that would map pentagon PQRST onto itself is an equation of the line that passes through the origin.
Read more on reflection here: brainly.com/question/27912791
#SPJ1
A formula for the area, A, of the circular pool is given by the equation A=\pi\left(r-3\right)^2.
Which is a formula for r?
The formula for the variable r is r = √A/π
What is subject of formula?The subject of formula can be defined as the variable that is allowed to alone in an equation.
The variables is made to be written on one end of the equality sign.
It is also described as the variable that is worked out in an equation.
From the information given, we have that;
the formula for the area of the circular pool is;
A = πr²
Such that;
A is the area of the circler is the radiusWe then have;
r = √A/π
Learn more about subject of formula at: https://brainly.com/question/10643782
#SPJ1
A pyramid has a square base with an area of 144 ft. Mark each statement as true or false and correct any false statements.
T/F? - The length of one side of the pyramids base can be found using the equation s^2=144.
T/F? - The Length of one side of the pyramids base is 72 feet.
A = s^2, where A is the area and s is the length of one side of the square gives the area of a square base. The correct option is true
If s^2 = 144, then s = √144 = 12 feet. The correct option is false
What is pyramid ?A pyramid is a polyhedron that is created by joining an apex and a polygonal base. A triangle known as a lateral face is formed by each base edge and apex.
Therefore, s^2 = 144 is a valid equation to find the length of one side of the base. The correct option is true
Therefore, one side of the pyramid's base is 12 feet, not 72 feet.
The correct option is false
Learn more about Pyramid here : brainly.com/question/18994842
#SPJ1
Complete the ratio table
a = 19.5 cm, b = 12.5 cm and c = 5.5 cm for the triangle shown below.
X
X =
- C
Work out the value of a rounded to 1 DP.
The diagram is not drawn to scale.
cm
a
- b----
The value of x rounded to 1 decimal place is 15.9 cm.
What is Pythagorean theorem?In Mathematics and Geometry, Pythagorean's theorem is modeled or represented by the following mathematical equation (formula):
x² + y² = z²
Where:
x, y, and z represents the length of sides or side lengths of any right-angled triangle.
How to determine the value of x?First of all, we would determine length of sides or side lengths of the opposite side of the ight-angled triangle as follows;
12.5² + y² = 19.5²
156.25 + y² = 380.25
y² = 224 cm.
y = √224 cm
Now, we can determine value of x;
x² = (√224)² + (5.5)²
x² = 224 + 30.25
x = 15.9 cm.
Read more on Pythagorean theorem here: brainly.com/question/15430861
#SPJ1
Missing information:
The question is incomplete and the complete question is shown in the attached picture.
The position (in meters) of a particle per respect to time (in seconds) is defined by the
following functions (t)=t4-16t³+72t² +5. Find the maximal and minimal value for
the speed of the particle for t E [1, 7].
The maximum of 1,159 m/s occurs when t = 7, and the minimum of 16 m/s occurs when t = 6.
How to calculate the valueIt should be noted that upon deriving v(t), an equation of 12t² - 96t + 144 is produced. Subsequently, v'(t) must be set to zero, resulting in a quadratic equation of 12t² - 96t + 144 = 0, requiring division of both sides by 12 to produce t² - 8t + 12 = 0.
The quadratic can now be factored to obtain (t - 2)(t - 6) = 0, indicating that critical points lie on the values t = 2 and t = 6.
After calculating these values— v(1) = 100 m/s, v(2) = 64 m/s, v(6) = 16 m/s and v(7) = 1159 m/s—it is clear that the maximum of 1,159 m/s occurs when t = 7, and the minimum of 16 m/s occurs when t = 6.
Learn more about speed on
https://brainly.com/question/13943409
#SPJ1
find the misding values in the ratio table then write the equivalent ratios forks 16 8 spoons 10, 30
The missing number in the ratios of numbers are 16:10 8:20 and 0:30
How to determine the missing numbers?Ratios are quantitative relationships between two numbers that describe how many times one value can contain another
the given parameters are
Forks 16 8 ----
Spoons 10 --- 30
The numbers are written in ascending order of magnitude
Using AP,
for forks: a = 16, 2nd term = 8
common difference = 8-16 - -8
For spoons a = 10, 3rd term = a + 2d = 30
30 = 10 + 2d
30 -10 = 2d
d= 20/2 = 10
Therefore the 2nd term = 10+10=20
The table reappears as follows
Forks 16 8 0
Spoons 10 20 30
Therefore the equivalent ratios are 16:10 8:20 and 0:30
Learn more about ratios of numbers on https://brainly.com/question/28155993
#SPJ1
ERROR ANALYSIS Describe and correct the error in finding the area of the circle. X c 12 ft A = π(12)² = 144T 452.39 ft²
The error that was made in finding the area of the circle is that diameter was used for radius. The correct area of the circle is: 113.10 ft²
What is the Area of the Circle?The formula for area of a circle is expressed as:
A = πr²
where:
A is Area
r is radius
From the given circle, we are given the diameter as 12.
But radius = diameter/2 = 12/2
radius = 6
Thus, the error is that they used the diameter as radius.
Correct area of circle = π * 6²
= 36π
= 113.10 ft²
Read more about Area of Circle at: https://brainly.com/question/14068861
#SPJ1
The temperature on Tuesday was -5 Celsius the temperature in Wednesday was 5 Celsius
The temperature of Srinagar on Wednesday was -3°C.
If the temperature was -5°C on Monday and dropped by 2°C on Tuesday, we can subtract 2 from -5 to get:
-5°C - 2°C = -7°C
So the temperature of Srinagar on Tuesday was -7°C.
If the temperature on Wednesday rose by 4°C from the temperature on Tuesday, we can add 4 to -7°C to get:
-7°C + 4°C = -3°C
So the temperature of Srinagar on Wednesday was -3°C.
To learn more about subtraction;
https://brainly.com/question/2346316
#SPJ1
The complete question:
At Srinagar temperature was -5°C on Monday and then it dropped by 2°C on Tuesday. What was the temperature of Srinagar on Tuesday? On Wednesday, it rose by 4°C. What was the temperature on this day?
I need help fast!!
It’s past due
The relative frequency of "tails" when the companions coalesce their results is close to 0.524.
How to calculate the relative frequencyIn order to ascertain the relative frequency of "tails" when the friends amalgamate their outcomes, one must accumulate the amount of tails, then divide that sum by the entirety of trials:
Relative frequency of "tails" = total number of tails / cumulative number of trials
= 129 / (117 + 129)
= 129 / 246
≈ 0.524
Consequently, the relative frequency of "tails" when the companions coalesce their results is close to 0.524.
Learn more about frequency on
https://brainly.com/question/254161
#SPJ1
determine the volume of the oblique cylinder below. leave your answer in terms of pi and round to the hundredths place if needed.
The volume of the oblique cylinder can be calculated as:
833π cm³
How to Find the Volume of an Oblique Cylinder?The formula that would be used to find the volume of any given oblique cylinder can be expressed as:
Volume = πr²h, where:
radius of the cylinder = r
height of the cylinder = h
π is a constant
We are given the values for the cylinder as:
r = 14/2 = 7 cm
h = 17 cm
Volume of the oblique cylinder = πr²h = π × 7² × 17
Volume of the oblique cylinder = 833π cm³
Learn more about the volume of oblique cylinder on:
https://brainly.com/question/21162584
#SPJ1
Brent starts with 16 identical white socks in his sock drawer. Imagine he receives 2 identical black socks as a gift and mixes them in with his 16 white socks. If he draws one sock without looking to put on his left foot, then draws a second sock without looking to put on his right foot, what is the probability that he draws mismatched socks?
Answer: Its high
Step-by-step explanation: It just is
The probability that Brent draws mismatched socks is 32/153.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Since Brent is drawing two socks without replacement, there are 18 choices for the first sock and 17 choices for the second sock.
Therefore, there are 18 x 17 = 306 possible ways Brent could draw two socks.
For Brent to have mismatched socks, he needs to draw a white sock first and a black sock second, or a black sock first and a white sock second.
Let's consider the first case.
There are 16 white socks and 2 black socks, so there are 16 x 2 = 32 ways Brent could draw a white sock first and a black sock second.
For the second case, there are 2 black socks and 16 white socks, so there are 2 x 16 = 32 ways Brent could draw a black sock first and a white sock second.
Therefore, the probability of Brent drawing mismatched socks is:
= (32 + 32) / 306
= 64 / 306
= 32 / 153
Thus, the probability that Brent draws mismatched socks is 32/153.
Learn more about probability here:
brainly.com/question/11234923
#SPJ2
What is the volume? round to the nearest thousandth
The volume of the pyramid is determined as 433.33 mm³.
What is the volume of the right square pyramid?The volume of the right square pyramid is calculated by applying the following formula.
V = ¹/₃a²h
where;
a is the base of the pyramidh is the height of the pyramidThe volume of the pyramid is calculated as follows;
V = ¹/₃ (10 mm)² x ( 13 mm )
V = 433.33 mm³
Thus, the volume of the pyramid is calculated from the formula stated.
Learn more about volume of pyramid here: https://brainly.com/question/18994842
#SPJ1
Use substitution!!!
Pt. a
truck a costs $20,345. You can expect to pay an average of $1230 per year for repairs. truck b costs about 16,000. It will cost an average of $1425 for repairs per year. After how many years are the total costs for cars the same?
(I can solve it, can you just turn the words into an equation for me?)
Pt. B
You have 56 coins that are all nickles and dimes. The value of the coins is $2.05. Find the number of nickels and dimes.
(Can you also just make an equation out of this for me?)
The system of equations are t = 22.28 years , number of nickles and dimes are solved
Given data ,
a)
Let the number of years be represented as t
For truck A, the total cost (including the initial cost and average yearly repair cost) after "t" years can be represented as:
Total cost for truck A = 20345 + 1230t
For truck B, the total cost (including the initial cost and average yearly repair cost) after "t" years can be represented as:
Total cost for truck B = 16000 + 1425t
when the total costs are equal , we get
20345 + 1230t = 16000 + 1425t
On simplifying , we get
195t = 4,345
t = 22.28 years
b)
Let the number of nickels be n and number of dimes be d
The total value of nickels is 0.05n (since the value of one nickel is $0.05) and the total value of dimes is 0.10d (since the value of one dime is $0.10)
The total value of the coins = $ 2.05
And , the total number of coins = 56
0.05n + 0.10d = 2.05
And , n + d = 56
Hence , the system of equations are solved
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
Which is the graph of g(x)=√x-16?
←
The graph of g(x) = √(x - 16) is given by the image presented at the end of the answer.
What is a translation?A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.
The four translation rules for functions are defined as follows:
Translation left a units: f(x + a).Translation right a units: f(x - a).Translation up a units: f(x) + a.Translation down a units: f(x) - a.The parent function in this problem is given as follows:
f(x) =√x
Which has vertex at the origin.
The function g(x) = √(x - 16) is equivalent to g(x) = f(x - 16), which is a translation right 16 units of f(x), according to the graph presented at the end of the answer.
More can be learned about translations at brainly.com/question/28174785
#SPJ1
Many banks charge for out of network ATM use. Out of network ATMs are ones provided by someone other
than your bank. While you're away at college, you will have to rely on these out of network ATMs if your local bank does not have a branch near your school.
Compare the following checking account fee structures.
Hometown National Bank
Monthly
Maintenance Fee
$5.00
Out of Network
ATM Charge
$2.00
Freedom Bank
$1.00
out of network ATM charge
$3.00
1. Which bank offers a better fee structure for a month of usage? Describe your reasons.
2. Is one bank ALWAYS better? What factors might affect which bank has the better fee
structure?
I
3. How could you avoid these fees if you are away at school without access to a local branch?
4. Find a partner and discuss your bank choices. Write down how you could best compare the two
fee structures.
The choice between Hometown National Bank and Freedom Bank depends on usage. Should you use out-of-network ATMs with regularity, the former may be favored due to its lower ATM charge. Otherwise, if these visits are sporadic, the latter might reign superior in regards to its maintenance fee.
Still, no financial institution can be deemed unequivocally better. Additional variables influencing this decision could include the frequency of out-of-network ATM travel, one's account balance, as well as any supplementary services each establishment may supply.
In order to safeguard yourself against fees, consider utilizing in-network ATMs, mobile banking, or taking advantage of cashback options offered when making purchases from retailers.
By calculating total fees for each bank, estimating monthly out-of-network ATM activity, and factoring in other services and one's individual preferences, it is possible to determine which establishment best suits your needs.
Read more about bank charges here:
https://brainly.com/question/28813239
#SPJ1
M<2
Answers please the ask is in the picture
To receive monthly payments of $1500 for 20 years, how much would a person have to invest now in an annuity with an annual interest rate of 3.1% to achieve this goal? Round the answer to the nearest dollar.
The person would have to invest approximately $461,044.94 now in an annuity with an annual interest rate of 3.1% to receive monthly payments of $1500 for 20 years.
To calculate the present value of an annuity, we can use the following formula:
[tex]PV = PMT \times \dfrac{(1 - (\dfrac{1}{(1 + r)^n})) }{ r}[/tex]
Where:
PV = present value of the annuity
PMT = monthly payment
r = annual interest rate
n = total number of payments
In this case, the PMT is $1500, the annual interest rate is 3.1%, and the number of payments is 20 years x 12 months per year = 240 payments.
First, we need to convert the annual interest rate to a monthly interest rate by dividing it by 12:
r = 3.1% / 12 = 0.2583%
Next, we can plug in the values and solve for PV:
PV = $1500 x [(1 - (1 / (1 + 0.2583%)²⁴⁰)) / 0.2583%]
PV = $1500 x [(1 - (1 / 1.002152²⁴⁰)) / 0.002583]
PV = $1500 x [(1 - (1 / 4.818681)) / 0.002583]
PV = $1500 x (0.7915 / 0.002583)
PV = $461,044.94
Therefore, the person would have to invest approximately $461,044.94 now in an annuity with an annual interest rate of 3.1% to receive monthly payments of $1500 for 20 years.
To know more about present value follow
https://brainly.com/question/28158586
#SPJ1
Morton made 42 out of 50 free throws last season. What percent of his free throws did Morton make? Morton made % of his free throws.
Answer: morton made 84% of his free throws.
Step-by-step explanation: 50 is half of 100
•multiply 42 by 2 because 50 is half of 100
Help its urgent i need to get these done
The planes that are parallel in the cube shown would be C. NOR and LMP.
What are parallel planes ?Two planes that are located on a cube and are always opposite and never intersect; they remain continuously at the same distance from each other. A cube consists of three pairs of parallel planes in correspondence with its triplet of opposing faces.
From the given options, the only parallel planes would be NOR and LMP. One of the reasons for this, is that these planes have no point of intersection unlike the planes in the other options.
Find out more on parallel planes at https://brainly.com/question/29329147
#SPJ1
Find a linear inequality with the following solution set. Each grid line represents one unit.
[asy]
size(200);
fill((2,-5)--(-5,-5)--(-5,5)--(5,5)--(5,-2)--cycle,yellow);
real ticklen=3;
real tickspace=2;
real ticklength=0.1cm;
real axisarrowsize=0.14cm;
pen axispen=black+1.3bp;
real vectorarrowsize=0.2cm;
real tickdown=-0.5;
real tickdownlength=-0.15inch;
real tickdownbase=0.3;
real wholetickdown=tickdown;
void rr_cartesian_axes(real xleft, real xright, real ybottom, real ytop, real xstep=1, real ystep=1, bool useticks=false, bool complexplane=false, bool usegrid=true) {
import graph;
real i;
if(complexplane) {
label("$\textnormal{Re}$",(xright,0),SE);
label("$\textnormal{Im}$",(0,ytop),NW);
} else {
label("$x$",(xright+0.4,-0.5));
label("$y$",(-0.5,ytop+0.2));
}
ylimits(ybottom,ytop);
xlimits( xleft, xright);
real[] TicksArrx,TicksArry;
for(i=xleft+xstep; i 0.1) {
TicksArrx.push(i);
}
}
for(i=ybottom+ystep; i 0.1) {
TicksArry.push(i);
}
}
if(usegrid) {
xaxis(BottomTop(extend=false), Ticks("%", TicksArrx ,pTick=gray(0.1),extend=true),p=invisible);//,above=true);
yaxis(LeftRight(extend=false),Ticks("%", TicksArry ,pTick=gray(0.1),extend=true), p=invisible);//,Arrows);
}
if(useticks) {
xequals(0, ymin=ybottom, ymax=ytop, p=black, Ticks("%",TicksArry , pTick=black+0.8bp,Size=ticklength), above=true, Arrows(size=axisarrowsize));
yequals(0, xmin=xleft, xmax=xright, p=black, Ticks("%",TicksArrx , pTick=black+0.8bp,Size=ticklength), above=true, Arrows(size=axisarrowsize));
} else {
xequals(0, ymin=ybottom, ymax=ytop, p=axispen, above=true, Arrows(size=axisarrowsize));
yequals(0, xmin=xleft, xmax=xright, p=axispen, above=true, Arrows(size=axisarrowsize));
}
};
draw((5,-2)--(2,-5),dashed+red, Arrows(size=axisarrowsize));
rr_cartesian_axes(-5,5,-5,5);
for( int i = -4; i <= 4; ++i) {
draw((i,-5)--(i,5));
draw((-5,i)--(5,i));
}
[/asy]
(Give your answer in "standard form" $ax+by+c>0$ or $ax+by+c\geq0$ where $a,$ $b,$ and $c$ are integers with no common factor greater that 1)
I’ve looked at other people’s answers but my website keeps saying im wrong. If anyone knows how to register this answer to aops, please tell me how
The linear inequality with the solution set (2,-5), (-5,-5), (-5,5), (5,5), (5,-2) are x ≤ 5 and y ≤ 5
Finding a linear inequality with the solution setThe solution set is given as
(2,-5), (-5,-5), (-5,5), (5,5), (5,-2)
We can see that the highest y value in the above ordered pairs is 5
So, we have
y ≤ 5
Also, we can see that the highest x value in the above ordered pairs is 5
So, we have
x ≤ 5
Hence, the linear inequality with the solution set is x ≤ 5 or y ≤ 5
Read more about inequality at
https://brainly.com/question/25275758
#SPJ1
MODELING REAL LIFE A hemisphere-shaped mole has a diameter of 5.7 millimeters and a surface area of about
51 square millimeters. The radius of the mole doubles. Estimate the new surface area of the mole. Round your
answer to the nearest whole number.
The new surface area is square millimeters.
The new surface area of the hemisphere-shaped mole would be = 102mm².
How to calculate the new surface area for the hemisphere-shaped mole?A hemisphere-shaped mole has a shape that has one surface that is curved and the other surface a flat circular base.
Since the surface area of one hemisphere has been given, the second hemisphere can be determined.
To calculate the new surface area of the hemisphere-shaped moles the following is carried out;
Radius of the initial mole = 5.7/2 = 2.85 mm
If 2.85mm radius = 51 mm²
2(2.85mm) radius = x
Make X the subject of formula;
X = 2×2.85 × 51/2.85
= 102 mm²
Learn more about area here:
https://brainly.com/question/28470545
#SPJ1
if x=4 units, y=12 units, and h=8 units find the area of the parallelogram
The area of a parallelogram with the given base and height is 96 square units.
Given that, x=4 units, y=12 units, and h=8 units.
From the given figure,
Area of parallelogram = Base×Height
Here, b=4+12 =16 units and h=8 units
Now, area of parallelogram = 16×8
= 96 square units
Therefore, the area of a parallelogram with the given base and height is 96 square units.
Learn more about the area here:
https://brainly.com/question/27683633.
#SPJ1
I need to know the slop and how to do it pls!!!
Answer:
The slope is [tex]\frac{-1}{2}[/tex]
Step-by-step explanation:
the slope is the number before the x.
Helping in the name of Jesus.
What would be the length of each rope is all the ropes had the same length 
The length of each rope if all the ropes had the same length is 3 ft
What would be the length of each ropeFrom the question, we have the following parameters that can be used in our computation:
The dot plot
From the dot plot, we can see that the data are normally distributed
This means that the length of each rope is the mean, the median and the mode
Given that the data on the dot plot is normally distributed, we have the following values
mean = 3median = 3mode = 3So, we can conclude that the length is 3 ft
Read more about dot plot at
https://brainly.com/question/14438425
#SPJ1
given the expression (2^-3)(2^5)/2^7), select the three equivalent numerical expressions
The three equivalent numerical expressions are; Options M, R and S
How to determine the expressionsTo determine the expressions, we need to take note that index forms are described as forms that are used for the representation of numbers or variables that are too large or small to be written.
Some rules of index forms are;
Subtract the exponents when the same bases are dividedAdd the exponents when the same bases are multipliedFrom the information given, we have that;
(2^-3)(2^5)/2^7)
add the exponents of the numerator
2⁻³⁺⁵/2⁷
Add the values
2²/2⁷
Subtract the exponents
2⁻⁵
Learn about index forms at: https://brainly.com/question/15361818
#SPJ1
