Answer:
$1,560
Step-by-step explanation:
Interest = Principal x Interest Rate x Time (in years)
I = 6500(.04)(6)
I = 1560
solve for x. enter the solutions from least to greatest.
Answer:
Step-by-step explanation:
x+5=8
x=3
x+5= -8
x=-13
lesser x=-13
greater x= 3
A hollow ball is made of rubber that is 2 centimeters thick. The ball has a radius to the outside surface of 6 centimeters. What is the approximate volume of rubber used to make the ball? Use 3. 14 for pi. 33. 5 cm³ 267. 9 cm³ 636. 4 cm³ 904. 3 cm³.
The volume of the ball is 636.38 cm^3. Option C shows the correct volume of the ball.
What is the volume of the sphere?The volume of the sphere is defined as the amount of space occupied within the sphere. It is a space occupied by a three-dimensional object.
Given that the thickness of the ball is 2 cm and the outer radius r2 of the ball is 6 cm. The inner radius r1 of the ball is the difference between the outer surface and the thickness of the material.
r1 = 6-2
r1 = 4cm
The volume of the sphere ball is given as,
[tex]V = \dfrac {4}{3}\pi r^3[/tex]
For the inner radius, the volume is given as,
[tex]V_1 = \dfrac {4}{3}\times 3.14\times (4)^3[/tex]
[tex]V_1 = 267.94 \;\rm cm^3[/tex]
For the outer radius, the volume is given as,
[tex]V_2= \dfrac {4}{3}\times 3.14\times (6)^3[/tex]
[tex]V_2 = 904.32\;\rm cm^3[/tex]
The final volume of the ball is the difference between the volume of the inner and outer surface.
[tex]V = V_2 - V_1[/tex]
[tex]V = 904.32- 267.94[/tex]
[tex]V = 636.38 \;\rm cm^3[/tex]
Hence we can conclude that the volume of the ball is 636.38 cm^3. Option C shows the correct volume of the ball.
To know more about the volume, follow the link given below.
https://brainly.com/question/1578538.
The function f(x) = 2x 26 represents the distance a flock of birds travels in in miles. The function g(x) = x − 1 represents the time the flock traveled in hours. Solve f divided by g of 5, and interpret the answer. 9; the birds' rate in miles per hour one ninth; the number of birds in the flock 9; the number of birds in the flock one ninth; the birds' rate in miles per hour.
Speed is the ratio of distance and time. When we divide f(x) by g(x) we will get the speed of the flock that is 9 miles/hour.
What is speed?Speed can be defined as the rate of change in the position of an object. It is given as,
[tex]Speed = \dfrac{Distance}{Time}[/tex]
Given to us
Distance traveled, f(x) = 2x+26
Time, g(x) = x − 1
As we know that the ratio of distance and time is equal to the speed of the object. Since the distance traveled by the flock of birds is given also, the time needed for them to travel the distance is also given.
We need to find f divided by g of 5, which is the speed of the flock,
[tex]Speed = \dfrac{Distance}{Time} = \dfrac{f(x)}{g(x)}[/tex]
[tex]Speed = \dfrac{f(x)}{g(x)} = \dfrac{2x +26}{x-1}[/tex]
[tex]Speed = \dfrac{f(5)}{g(5)} = \dfrac{2(5) +26}{(5)-1}\\\\Speed = 9 \rm\ miles/ hour[/tex]
Hence, when we divide f(x) by g(x) we will get the speed of the flock that is 9 miles/hour.
Learn more about Speed:
https://brainly.com/question/7359669
Answer:
a
Step-by-step explanation:
Adelina wants to earn at least $120 a week to help her parents with bills. She determines that
she can charge $15 an hour to babysit and can earn $12 an hour bagging groceries. She can
only work 10 hours per week. Write and graph a system of linear inequalities that shows the
number of hours she can work so she can help her parents. Use x for the number of hours
babysitting and y for the number of hours bagging groceries.
The system of linear inequalities that shows the number of hours as described is;
x + y <= 1015x + 12y <= 120System of linear inequalitiesAccording to the task content;
Adelina wants to earn at least $120 a week to help her parents with bills and;She can only work 10 hours per week.Hence, it follows that;
x + y <= 1015x + 12y <= 120Read more on inequalities;
https://brainly.com/question/25275758
Answer:
5 hours babysitting, 4 hours bagging
OR
9 hours babysitting, 1-hour bagging.
Step-by-step explanation:
Помогите пожалуйста сделать это задание новая тема не понимаю
Answer:
heyyy here's your answer hope it helps you
Step-by-step explanation:
1. 4a+7a=11a.
2.20y-6y=14y.
3.8m-8m=0.
4.9b+6=9b+3.
What is a Function?
What is not a Function?
Answer:
Function : 1 input 1 output
not a Function : 1 input more than 1 output
ck12org
please help me take this pleaseee
Answer:
3x² + 2x + 18
Step-by-step explanation:
24x² + 16x + 144 .......simplify by 4
6x² + 4x + 36
3x² + 2x + 18
Answer:
c
Step-by-step explanation:
3*8=24
2*8=16
18*8=144
then you put the variables behind em :)
For the inequality, find TWO values for x that make the inequality true: 5x<2
A.-2
B.3
C.-5
D.-6
E. 5
Answer:
a and c
Step-by-step explanation:
5(-2)<2
-10<2
5(-5)<2
-25<2
if anyone can help me please
Answer:
use the slope formula!
Step-by-step explanation:
Rate of change is basically slope
you have to use the slope formula y2-y1/x2-x1
for example in the first question on the left 30-15 ÷ 5-2 = 5
would you like me to do the rest?
chad is making an orange smoothie. the recipe call for 3 parts of frozen yogurt to 5 parts of orange juice. how many ounces of both juice and yogurt dose he use he needed to get a total to get 16 ounces
Answer: it will be 6 ounces of frozen yogurt and 10 ounces of orange juice.
Step-by-step explanation:
3 parts frozen yogurt
5 parts orange juice For a total of 8 parts divided by 16 ounces = 2 Multiply 3 fy x 2= 6 ounces And multiply 5 oj x 2= 10 ounces
Matt makes $56,980 a year as an engineer. He gets paid once a month. How much would his paycheck be
There are 12 months in a year, so Matt would theoretically earn
$56,980 / 12 ≈ $4,748.33
each month. (But his earnings will certainly be taxed, so the real answer is less than this.)
Answer: $4,748
Step-by-step explanation: A year is 12 months and since he gets paid once a month, then you divide $56,980 by 12, and that equals $4,748 a month.
Hope it helps and have a great day!
What is the quotient? StartFraction (negative 7) squared Over (negative 7) Superscript negative 1 EndFraction Negative 343 Negative 7 7 343.
Fraction is a quantity representing part of a hole. The specified fraction's quotient is obtained as: Option A: -343
What are some basic properties of exponentiation?If we have [tex]a^b[/tex], then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).
Exponentiation(the process of raising some number to some power) have some basic rules as:
[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\ a^b \times a^c = a^{b+c}[/tex]
For given case, the quotient of fraction is obtained as:
[tex]\dfrac{(-7)^2}{(-7)^{-1}} = (-7)^2 \times (-7)^{-(-1)} = (-7)^{(2 + 1)} = -7^3 = -343[/tex]
Thus, The specified fraction's quotient is obtained as: Option A: -343
Learn more about fraction quotient here:
https://brainly.com/question/7349976
Answer:
a if u don't want to read lma o
Step-by-step explanation:
Its algebra 2 step equation it is p/9 + 89 = -103
[tex] \leadsto \sf \dfrac{p}{9} + 89 = - 103[/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \sf \dfrac{p}{9} = - 192[/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \sf p = - 192 \times 9[/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \sf p = - 1728[/tex]
The base of the pyramid is a square, with edges of 115 feet. The height of each lateral face is approximately 91.4 feet. How much glass was needed to construct the sides of the pyramid?
5,255.5 square feet
15,766.5 square feet
42,044 square feet
21,022 square feet
Check the picture below.
so each triangular face has a height of 91.4 and a base of 115, and there are four of them, now, we're only considering the "lateral area", that excludes the base.
[tex]\stackrel{\textit{area of 4 triangles}}{4\left[ \cfrac{1}{2}(115)(91.4) \right]}~~\implies ~~ 21022[/tex]
Choose the real-world situations that involve sample spaces and have a correct description of the sample spaces. Select all that apply.
Multiple select question.
cross out
A)
A motorist pulls up to a traffic light. The sample space is red light or green light.
cross out
B)
Bill is playing a game and rolls a 6-sided die on his turn. The sample space is 1, 2, 3, 4, 5, 6.
cross out
C)
Mary is flipping 2 coins and recording the results. The sample space is 2 heads, a head and a tail, 2 tails.
cross out
D)
Paul has a bag of marbles with red, blue, and purple marbles. He randomly picks a marble. The sample space is red, blue, purrple.
cross out
E)
A teacher wrote each letter in the word BASEBALL on a piece of paper and placed the letters into a bag. The sample space is B, A, S, E, L.
Answer:
The answer is B, C, D, and E
Step-by-step explanation:
THIS AN ASTRONOMY QUESTION
Describe a general rule for how the angle that the parallels of declination make with the horizon are related to the latitude of the observer.
Answer:
The positions of your north celestial pole and south celestial pole change as you change latitude on the Earth, as you move north or south. At the Earth's equator, the Celestial Equator is directly overhead, and the poles are on opposite sides of the horizon. All stars are visible as they rise, culminate at the meridian, and set. As you move north, the Celestial Equator mirrors your movement, moving south the same number of degrees away from the zenith. The altitude of any star will change with the observer's latitude (as well as the time of night).
Note: only the altitude of the star changes NOT their coordinates. The star's celestial coordinates remain the same.
Step-by-step explanation:
Declination is measured in degrees north (+) or south (-) of an imaginary line called the Celestial Equator (CE). The Celestial Equator is the projection of the Earth's Equator onto the Celestial Sphere. The CE has a declination of 0 degrees, by definition. At dec = +90 degrees (90 degrees N) is the North Celestial Pole (NCP), the projection of the Earth's North Pole onto the Celestial Sphere. The South Celestial Pole (SCP) is at dec = -90 degrees.
An Example would be:
You move 30 degrees North of the equator, hence, the Celestial Equator has moved away from the zenith, 30 degrees to the south.
While the NCP has risen 30 degrees into the sky and the SCP has sunk 30 degrees below the horizon.
If you moved south, the opposite would have occurred as the Celestial Equator moved north of the zenith.
True or false? When comparing the results of multiplying polynomials using the horizontal method and the vertical method, the vertical method is more accurate than the horizontal method.
False
True
Answer:
true
Step-by-step explanation:
I mean it sound true
Answer:
true
it sounds true to me
Give the equation of the given graph
PLEASE EXPLAIN. (STEP BY STEP)
A vertical plate is submerged in water and has the indicated shape.
A triangle is submerged in water pointed up. The top most vertex of the triangle touches the surface of the water. The base of the triangle is 6 m and is parallel to the surface of the water. The height of the triangle is 15 m.
Express the hydrostatic force (in N) against one side of the plate as an integral (let the positive direction be upwards) and evaluate it. (Use 9.8 m/s2 for the acceleration due to gravity. Recall that the weight density of water is 1,000 kg/m3.)
The hydrostatic force is given by the integral of the force acting on
small horizontal strips from the base to the top of the triangle.
Response:
The hydrostatic force one one side of the plate is 4.41 MNHow can the hydrostatic force acting on the plate be calculated?The given parameters are;
Base of the triangle = 6 m
Height of the triangle = 15 m
Acceleration due to gravity, g ≈ 9.8 m/s²
Weight density of water, ρ ≈ 1,000 kg/m³
Required:
Hydrostatic force on one side of the plate
Solution:
Considering a thickness, dx, having area, dA = y·dx
The pressure on the strip = ρ·g·x
Force on the strip, dF = ρ·g·x·y·dx
Using similar triangles, we have;
[tex]\dfrac{x}{15} = \dfrac{y}{6}[/tex]
Which gives;
[tex]y = \dfrac{x}{15} \times 6 = \mathbf{ \dfrac{2}{5} \cdot x}[/tex]
Therefore;
[tex]dF = \rho \cdot g \cdot x \cdot \dfrac{2}{5} \cdot x \cdot dx = \mathbf{\rho \cdot g \cdot x^2 \cdot \dfrac{2}{5} \cdot dx}[/tex]
Which gives;
[tex]F =\displaystyle \int\limits^{15}_0 { \rho \cdot g \cdot x^2 \cdot \dfrac{2}{5} } \, dx = \mathbf{\left[\rho \cdot g \cdot x^3 \cdot \dfrac{2}{3\times 5} \right]^{15}_0}[/tex]
Therefore;
[tex]F = \rho \cdot g \cdot \left[x^3 \cdot \dfrac{2}{3\times 5} \right]^{15}_0 = \mathbf{ \rho \cdot g \times 15^3 \cdot \dfrac{2}{3\times 5}} = 450 \cdot \rho \cdot g[/tex]
Which gives;
F = 450 m³ × 1,000 kg/m³ × 9.8 m/s² = 4,410,000 N = 4.41 MN
The hydrostatic force one one side of the plate, F = 4.41 MNLearn more about hydrostatic force here:
https://brainly.com/question/14201809
In which sections of your organizer should the outline be located?
a. Heading
C. Vocabulary
b.
Topic
d.
None of these
Please select the best answer from the choices provided
А
Ο.Ο Ο
B
С
Answer:
it is the heading so pick that and you answer is done
What are the roots of the equation x^2-10x+74=0x
2−10x+74=0 in simplest a+bia+bi form?
Answer:
x= 38/5
Step-by-step explanation:
Answer:
Quadratic equation
Step-by-step explanation:
The formula is - b+- square root b^2 - 4ac all divided by 2a
a=1
b=-10
c=74
So substitute the values and remember to keep the value in a bracket so the outside operator affects it
-(-10)+- square root (-10)^2 - 4(1)(74) all divided by 2(1)
Giving you 2 answers of x as their is a positive and negative square roots
X=-138
X=
This screen has a height of 5 inches and a width of 12 inches. What is the screen size?
Answer:
Here is your answer!
Sorry I'm late but hopefully I can help others when looking for answers.
Step-by-step explanation:
Brainlist? :)
a line drawn to represent the inequality y>x-1 would be unbroken or broken?
Answer:
broken
Step-by-step explanation:
You use a dashed line when you have < or >.
When there is the "or equal to" bar under the <, > symbols then you use a solid line.
If LC = 10, find LH.
A. 20
B. 25
C. 5
D. 10
Answer:
20
Step-by-step explanation:
LC = 1/2 LH
2LC = LH
2(10) = LH
LH = 20
Answer:
B. 20
Step-by-step explanation:
Because the distance from L to C is ten so the distance from L to H is double of the distance from L to C.
Kari has been driving at a constant speed for the last hour. If Kari is traveling at a speed of 65 miles per hour, which equation best represents the relationship between time in hours, t, and distance in miles, d?
d = 65t
t = d + 65
t = 65d
d = t + 65
Answer:
(a) d=65t
Step-by-step explanation:
If, for example she drove 10 hours, and she drove 65 miles each hour:
d=?
t= 10 hr
Speed= 65 mph
The formula for distance (check triangle linked below) is d=st (s*t)
so,
d=65t
hope this helps. It really simple, But I don't think I explained it too well.
There are 10 paint colors in a set, and 20% of the paint colors are shades of blue. How many of the paint colors are shades of blue?
Answer:
2 are shades of blue.
Step-by-step explanation:
[tex]10 \times 20\% \\ = 2[/tex]
The cost of oil decreased by 9% per barrel. If the cost was $72 per barrel, by how much was the cost decreased per barrel?
Answer:
6.48
Step-by-step explanation:
Hi!!! peeps....... Please help me.
Solve: X-(7y-3x)-11y
Answer:
heres a screenshot of the correct answer
Hope This Helps!!!
Answer:
4x-18y
Step-by-step explanation:
[tex]x-\left(7y-3x\right)-11y[/tex]
Let's apply the distributive law: -a(a-b)=-a+b
[tex]-\left(7y-3x\right)=-7y+3x[/tex]
[tex]x-7y+3x-11y[/tex]
Now, we'll Group terms
[tex]x+3x-7y-11y[/tex]
[tex]4x-18y[/tex]
Hope this helps!
What is the value of x?
Answer:
x = 5
Step-by-step explanation:
Set up proportion and cross multiply to solve:
9/2x-1 = 15/3x
x = 5
Answer:
Step-by-step explanation:
An angle bisector divides the base into ratios obtained by the sides of the triangle that are not divided. So
9/(2x - 1) = 15/3x Divide 3 into 15
9/(2x - 1) = 5/x Cross multiply
9x = 5(2x - 1) Remove the brackets
9x = 10x - 5 Switch sides.
10x - 5 = 9x Subtract 9x from both sides
10x - 9x - 5 = 0 Combine
x - 5 = 0 Add 5 to both sides.
x = 5
Under her cell phone plan, Lillian pays a flat cost of $47 per month and $3
per gigabyte. She wants to keep her bill at $57.20 per month. How many
gigabytes of data can she use while staying within her budget?
Answer:
3.4 gigabytes
Step-by-step explanation:
Because 57.20$ divided by 47 is 10.20 and 3 goes in to 10.2 3.4 times.