Answer: [tex]114.9\ in.^3[/tex]
Step-by-step explanation:
Given
The radius of the hemisphere is [tex]r=3.8\ in.[/tex]
The volume of a hemisphere is given by
[tex]V=\dfrac{2}{3}\pi r^3[/tex]
Insert the value
[tex]V=\dfrac{2}{3}\pi \times (3.8)^3\\\\V=114.9\ in.^3[/tex]
Simplify the following using law of indices. a) 12x⁷ ÷ 4x³
b) (2x)² × (2x)³ × (2x)⁵
Answer:
a) 3[tex]x^{4}[/tex]
b) 1024[tex]x^{10}[/tex]
Step-by-step explanation:
[tex]\frac{12x^{7} }{4x^{3} }[/tex]
[tex]\frac{3(4)xxxxxxx}{4xxx}[/tex] We can cancel out a 4 and 3 x's. That leaves
3xxxx
or 3[tex]x^{4}[/tex]
[tex](2x)^{2}[/tex] x [tex](2x)^{3}[/tex] x [tex](2x)^{5}[/tex] can be written in expanded form
[(2)(2)xx] x [(2)(2)(2)xxx] x [(2)(2)(2)(2)(2)xxxxx]
(2)(2)(2)(2)(2)(2)(2)(2)(2)(2)xxxxxxxxxx
1024[tex]x^{10}[/tex]
Leslie made a design with purple tiles, gold tiles, and silver tiles. She used: 79 silver tiles, 44 more silver tiles than purple tiles, and 23 more gold tiles than purple. Use the letter g to find the number of gold tiles that Leslie used.
Answer:
58 gold tiles
Step-by-step explanation:
Let silver = s ; purple = p ; gold = g
Number of silver Tiles = 79
44 more silver tiles than purple tiles
Purple tiles = silver tiles - 44
Purple tiles = 79 - 44 = 35
23 more gold tiles than purple tiles:
Number of gold tiles = purples Tiles + 23
Number of gold tiles = 35 + 23 = 58 tiles
Lin is solving the inequality 15-x< 14. She knows the solution to the
equation 15 - x = 14 is x = 1
How can Lin determine whether x > 1 or x < 1 is the solution to the
inequality?
If Lin is solving the inequality [tex]15-x < 14[/tex] and she know the solution is x = 1 , then the solution of inequality is [tex]x > 1[/tex] .
The inequality that Line is solving is [tex]15-x < 14[/tex] ,
the solution of the equation [tex]15-x = 14[/tex] is given as x = 1 ;
we have to find the value of x for which the given inequality expression is true ,
Case(i) , let us take [tex]x > 1[/tex] ,
So , putting x = 2 , in the inequality ,
we get ; [tex]15-2 < 14[/tex]
= 13 < 14 , that is TRUE .
Case(ii) , let us take [tex]x < 1[/tex] ,
So , putting x = 0 in the inequality ,
we get ; [tex]15-0 < 14[/tex]
= 15 < 14 , that is FALSE .
Therefore , the solution of the inequality is x > 1 .
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Find the greatest number that divides 1626, 1950 and 2274 leaving a remainder of 6 in each case? Please help
Answer:
The common divisor that leaves a reminder of 6 is 324
Step-by-step explanation:
Given
1626, 1950 and 2274
Required
Common divisor that leaves a remainder of 6
First, we subtract 6 from each number
[tex]1626 - 6 = 1620[/tex]
[tex]1950 - 6 =1944[/tex]
[tex]2274 - 6 = 2268[/tex]
Next, we find the common divisor of 1620, 1944, 2268
[tex]1620 \to 2 * 2 *3 * 3*3*3*5[/tex]
[tex]1944 \to 2 * 2 * 2 * 3 * 3 * 3 * 3 * 3[/tex]
[tex]2268 \to 2 * 2 * 3 * 3 * 3 * 3 * 7[/tex]
The common factors are:
[tex]Common = 2 * 2 * 3 * 3 * 3 * 3[/tex]
[tex]Common = 324[/tex]
Find the area of the sector.
195°
9 m
Answer:B
Step-by-step explanation: Because it right
Suppose $PABCD$ is a right square pyramid with apex $P$ and base $ABCD$. If $PBD$ is an equilateral triangle with side length 6, then what is the volume of $PABCD$
The volume of a right square pyramid PABCD is 50.91 cubic units
Let l be the side length of right squared pyramid and h be the height.
We know that the formula for the volume of the right squared pyramid.
V = a²h / 3
And the formula for the height of right squared pyramid.
h = (1/√2)a
Here, the side length (a) = 6 units
So, using above formula of height,
h = (1/√2) × 6
h = 6/√2
h = 3√2 units
Now using the formula for the volume of the right squared pyramid, the volume of pyramid PABCD would be,
V = (6² × 3√2) / 3
V = 6² × √2
V = 36√2
V = 50.91 cubic units
Therefore, the volume of PABCD is 50.91 cubic units
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Two ropes are used to stake a new tree. If they are each tied 3 feet up from the ground and 4 feet from the base of the tree. How many feet of rope do you need total?
Answer:
7
Step-by-step explanation:
What is an example of an x-intercept?
An example of x-intercept is (3,0).
Here x=3 is the x-intercept in this line.
By looking at the equation, we may determine the y-intercept when the equation is expressed in the slope-intercept form (y=mx+b). The y-intercept is the value of b. This is due to the fact that the y-intercept occurs when the x value is 0. Y = B when x = 0, since mx = 0 at this point.
We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable.
The formula for the x-intercept is y = 0: The x-intercept(s) can be determined by factoring or by employing the quadratic formula because ax2 + bx + c=0.
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Atiker wants to uile a rectangular wall which reasures Ambuy 2.5 m,
achtile measures 16 cm by 10 cm,
How many tiles will he need for the wall?
Tik
2.5 m
10 cm
16 cm
Answer:
Step-by-step explanation:
There are 100 cm in 1 meter. the dimensions are 400cm by 250cm. depending on which way you turn them, they will fit better. if you take 400 divided by 16, you will have a row of 25 wide and if you divide 250 by 10, you will have a length of 25. you now have 25 rows of 25. 25x25 is 625 tiles.
Hope this helps
Helpppppppppppppppp
Which one
Answer:
1. y = -2x - 4
2. y = 3x + 2
3. Horizontal
Tom and his friend are driving to Louisville, Kentucky, next week. They figure that the trip will be about 432 miles round trip. If his car gets 31 mpg and the current cost of gasoline is $2.79, how much will they spend on gas? $51.61 $44.46 $38.88 $31.00
=====================================================
Explanation:
Let x be the number of gallons used up. It's some positive real number.
We'll use the formula
miles = (mpg)*(number of gallons)
to help figure out how much fuel is used. The trip is 432 miles, and the mpg rating is 31
So,
miles = (mpg)*(number of gallons)
432 = 31*x
31x = 432
x = 432/31
x = 13.9354838709678 which is approximate.
Multiply that with the 2.79 to get the final answer.
2.79*x = 2.79*13.9354838709678 = 38.8800000000001
The 1 at the very end is probably due to some rounding error, but then again it may be accurate. Either way, that value rounds to 38.88
Side note: The 31 mpg rating is very likely an average value and not the same throughout the trip. This is due to the car changing speeds at different points of the journey. In reality, the true answer will vary slightly from the 38.88 figure we just calculated (but it should be fairly close).
The total amount of money that Tom and his friend would spend on gas during the trip is $38.88.
How much would be spent on gas?
The first step is to determine the total amount of gas that would be needed during the trip.
Gas that would be needed = 432 / 31 = 13.94
The second step is to multiply the gas that would be needed by the cost of gasoline: $2.79 x 13.94= $38.88
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Mr.Rosado is making a stop at his favorite ice cream shop.
He can choose on flavor of ice cream: chocolate, strawberry, vanilla or rocky road.
He can put his ice cream in a sugar cone, waffle cone or a cup.
What is the p(chocolate ice cream AND a waffle cone)?
Answer:
1/12
Step-by-step explanation:
Assuming his choices are equally likely (important: he's choosing randomly)...
Probability of selecting chocolate: 1/4 (1 of 4 equally likely choices)
Probability of selecting waffle cone: 1/3
Probability of selecting both: 1/4 x 1/3 = 1/12
Now, if you'll excuse me, I'm off to get ice cream! :-)
The red Maserati traveled at a speed of 120km/h for 5 hours one day. The green Ford Pickup traveled at a speed of 74km/h for 6 hours the same day. Find the difference in the distance traveled by two vehicles.
Answer:
156km
Step-by-step explanation:
Given data
The red Maserati traveled at a speed of 120km/h for 5 hours one day.
Distance = speed*time
Distance= 120*5
Distance= 600km
The green Ford Pickup traveled at a speed of 74km/h for 6 hours
Distance = speed*time
Distance= 74*6
Distance= 444km
Hence the difference is
=600-444
=156km
HELP DUE IN 15 MINS!
x=??
Answer:
Step-by-step explanation:
Remark
The angle formed by the intersection of a tangent to a circle and an intersecting secant is 1/2 (Arc PS - arc PR)
PS = 208
PR = 74
Solution
x = 1/2 (208 - 74)
x = 1/2 (134)
x = 67
could someone help me out with this?
Step-by-step explanation:
ok so first use this formula. V= 4/3 * 3.14 * 9 to the power of 3. so multiply 4/3 and 3.14 and then multiply 9 and 9 and 9 and then multiply that all together
if you can buy one bunch of cilantro for $1.60 how many can you buy with $38.40?
Answer: 24 bunches of cilantro
Step-by-step explanation:
1. Set a proportion with the given information, which should be 1/1.60 = x/38.40.
2. Cross multiply. Now the equation should 1.60x = 38.40.
3. Divide by 1.60 to get x alone to find out how many bunches of cilantro you can buy with $38.40. This should give you x = 24 bunches of cilantro.
Answer:
24 bunches
Step-by-step explanation:
The person below is correct
Charlie runs laps around a track. The table shows how long it takes him to run different numbers of laps. How long would it take Charlie to run 5 laps?
Number of laps 2 4 6 8 10
Time (min) 18 36 54 72 90
It will take Charlie ___
minutes to run 5 laps.
270 mins - 10 laps
xmins -5 laps
(cross multiply)
270*5=10x
10x=1350
x= 1350/10
x=135 mins
PLEASE HELP EMERGENCY
- A $2,500 bond eams 3% interest per year, compounded annually.
a) Write a function, V, that models the value of the bond t years after it is purchased.
b) find the value of the bond after each of the first five years.
PLEASE HELP EMERGENCY
Answer:
chick fil a
Step-by-step explanation:
because chick fil a is always right
Together, Hermione and Luna bought 2016 Chocolate Frogs for Harry. If Hermione paid 98 coins and Luna paid 28 coins, for how many Chocolate Frogs did Hermione pay?
If Hermione paid 98 coins and Luna paid 28 coins, Hermione paid for 672 Chocolate Frogs.
We can start the problem by using algebra. Let x be the number of Chocolate Frogs that Hermione paid for. Then we know that:
x + (2016 - x) = 2016 (the total number of Chocolate Frogs)
Also, we know that the cost of the Chocolate Frogs Hermione paid is 98 coins, and the cost of the Chocolate Frogs Luna paid is 28 coins. Let's assume the cost of each Chocolate Frog is y. Then we can write:
x * y = 98 and (2016 - x) * y = 28
Now we have a system of two equations with two variables (x and y). To find the value of x, we can use any method to solve the system of equations, such as substitution or elimination.
Using substitution, we can solve for y in the second equation and substitute it into the first equation:
(2016 - x) * y = 28
y = 28 / (2016 - x)
x * (28 / (2016 - x)) = 98
x * (28 / (2016 - x)) = 98
x = 98 * (2016 - x) / 28
Solving for x, we get:
x = 2016/3
So Hermione paid for 2016/3 = 672 Chocolate Frogs.
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Answer:
Hermione paid for 1,568 frogs.
Step-by-step explanation:
First, do 98 + 28. That will give you 126. Then do 2,016 / 126. That gives you 16. 16 x 98 = 1568 frogs.
Let's do Luna's to check our work.
28 x 16 = 448 frogs. 448 + 1568 = 2,016. So, Hermione paid for 1,568 frogs.
find area of blue shaded region
Answer:
[tex] \approx \: 7.33 \: {cm}^{2} [/tex]
Step-by-step explanation:
Area of the blue shaded region
[tex] = \frac{ \theta}{360 \degree} \times \pi r_1^2 - \frac{ \theta}{360 \degree} \times \pi r_2^2 \\ \\ = \frac{ \pi\theta}{360 \degree} ( r_1^2 - r_2^2) \\ \\ ( r_1 = 4 \: cm, \: \: r_2 = 3\: cm, \: \: \theta = 120 \degree) \\ \\ = \frac{ 3.14 \times 120 \degree}{360 \degree} ( 4^2 - 3^2) \\ \\ = \frac{ 3.14 }{3} \times 7 \\ \\ = \frac{21.98}{3} \\ \\ = 7.32666667 \\ \\ \approx \: 7.33 \: {cm}^{2} [/tex]
Hiiiooo can someone please help me out!❤️:)
Answer:
144 cm
Step-by-step explanation:
Bottom: 4x11 = 44
Side 3x4x1/2 = 6
Other side = 6 (same)
Slant = 3, 4 and the hypotenuse is 5 (pythagroem triple )
5x11 = 55
Back: 3x11= 33
44+6+6+55+33= 144
whats the value of q
Answer:
Incomplete Question. Send Full question pls.
help please I don't know this one
Answer:
21
Step-by-step explanation:
Which graph doesn't belong?
A
B
C
D
Answer:
i think it's C
Step-by-step explanation:
The screen on Lawrence’s new phone is 3.15 centimeters long. What mixed number represents the length of the phone screen?
Answer:
3 and 3/20
Step-by-step explanation:
Solve the following system of equations graphically on the set of axes below.
y= x-2
y=x−2
y= -3x-6
y=−3x−6
The solution of the equation is x = -1 and y = -3.
And the intersection point is (-1, -3).
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation.
And simultaneous equation is the system of equation.
Given system of equations:
y = x-2 ...... equation 1
y = −3x−6 ...... equation 2
To solve the system of equations:
Substitute the value of y from the equation 1 to equation 2,
we get,
x - 2 = -3x - 6
x + 3x = -6 + 2
4x = -4
x = -1
Then y = -1 -2 = -3.
By graphically:
1). Draw the linear equation on the graph.
2). And the intersection point of the lines is a solution of the equation.
3). The solution is x = -1 and y = -3.
The complete graph is given in the attached image.
Therefore, the solution is x = -1 and y = -3.
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The equation of line R, shown below, can be
written in the form y = mx + c.
What are the values of m and c?
Give each of your answers as an integer or
as a fraction in its simplest form.
Straight line has the equation is, y = 5x - 4.
What is a straight line's mathematical equation?An endless number of points that are connected on both sides of the point make up a straight line.
The slope of a straight line, "m," is determined by:
m = y2 - y1 / x2 - x1
A linear equation has the expression y = mx + b in slope-intercept form. X and Y are the variables in the equation. The numbers m and b stand for the line's slope (m) and the value of y at x = 0.
The graph's acquired points are (0,-4) and (1,1)
The slope is ,
m = 1-(-4) / 1-0
= 5/1
= 5
The line's equation will be as follows since it crosses the y-axis at its intersection point, where C = -4.
⇒ y = mx + c
⇒ y = 5x + (-4)
⇒ y = 5x - 4
As a result, y = 5x - 4 is the equation for the straight line depicted below.
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PLEASE, I'll GIVE YOU A FIVE STAR RATING AND THANKS WITH COMMENT!!!!!
If you double the amount of fluid ounces, the amount of cups also double
There is proportional relationship between the number of fluid ounces and the number of cups. So, the number of cups would change by the same factor as the number of fluid ounces.
The cost of renting equipment is sometimes proportional; because, it depends on whether the equipment has a rental fee and charge per hour or just a charge per hour. Option A.The cost of mailing a letter is proportional to the weight. The cost of mailing a 6-ounce letter is $2.82. Option BThe donation is proportional to the dinner bill
The donation for a dinner bill of $50 is $9
How to determine proportional relationship?If there are 8 fluid ounces in one cup
8 : 1 = 16 : x
8/1 = 16/x
8 × x = 16 × 1
8x = 16
x = 16/8
x = 2
The difference between weight = 1
The difference between cost = $0.68 - $0.47
= $0.21
$0.89 - $0.68
= $0.21
$1.10 - $0.89
= $0.21
Cost of mailing 6-ounce letter
1 : 0.47 = 6 : x
1/0.47 = 6/x
1 × x = 6 × 0.47
x = $2.82
The donation for a dinner bill $50 is
Dinner bill : donation
25 : 4.50 = 50 : x
25/4.50 = 50/x
25 × x = 50 × 4.50
25x = 225
x = 225/25
x =$ 9
Therefore, there is a proportional relationship between two quantities if there is an equal change in the values of both quantities.
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22 cm 14 cm 14 cm what is the volume
Answer:
height 14 cm
Step-by-step explanation:
The volume of the cuboid whose dimensions are l = 22 cm, b = 14 cm, h = 14 cm is 4312 cu. cm.
What is the Volume of Cuboid?
Volume of cuboid is the total space occupied by the cuboid in a three-dimensional space. A cuboid is a three-dimensional structure having six rectangular faces. These six faces of the cuboid exist as a pair of three parallel faces.
Here, length of cuboid = 22 cm
Breadth of cuboid = 14 cm
Height of cuboid = 14 cm
Volume of Cuboid = Length X Breadth X Height
= 22 X 14 X 14 cu. cm.
= 4312 cu. cm.
Thus, the volume of the cuboid whose dimensions are l = 22 cm, b = 14 cm, h = 14 cm is 4312 cu. cm.
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Which expression is equivalent?
Answer:
The first one 3^7 *1/3-4
Step-by-step explanation: