Volume=length×width×height
=5×3×6
=90 cu.ft
Answer:
A. 90 cu.ftStep-by-step explanation:
The formula of a volume of a rectangular solid (cuboid):
[tex]V=lwh[/tex]
l - length
w - width
h - height
We have
[tex]l=5\ ft,\ w=3\ ft,\ h=6\ ft[/tex]
Substitute:
[tex]V=(5)(3)(6)=90\ ft^3[/tex]
Plz help !!!!!!!!!!!!
Answer: a) x² - 3x - 18 = 0
Step-by-step explanation:
[tex]\dfrac{x}{3}-\dfrac{6}{x}=1\\\\\\\text{Multiply everything by the LCD (3x) to clear the denominator:}\\\\\dfrac{x}{3}(3x)-\dfrac{6}{x}(3x)=1(3x)\\\\\\x^2-18=3x\\\\\\\text{Subtract 3x from both sides:}\\x^2-3x-18=0[/tex]
5 + (7-7) + 4 is what property. A: identity property B: associative property
Answer:
A
Step-by-step explanation:
Which lines in the graph have a slope greater than 1 but less than 2?
line 1
line 2
line 3
line 4
line 5
I think that is line 5
Answer:
Lines 3 & 4
Step-by-step explanation: To find slope you calculate rise/run.
Line 1: 6/2= 3
Line 2: 6/3= 2
Line 3: 6/4= 1.5
Line 4: 6/5 = 1.2
Line 5: 6/6= 1
Lines 3 and 4 are the only two that have a slope that fall between 1 and 2. Notice it said greater than and less than but not equal to.
Find the cost of one item to the nearest cent. Round if necessary. a dozen donuts for $4.00
Answer:
33 cents
Step-by-step explanation:
4/12=1/3=0.33=33 cents
Answer:
= $1/3
Step-by-step explanation:
A dozen contains 12 items
Therefore;
a dozen of doughnuts contains 12 doughnuts
12 doughnuts = $ 4.00
1 doughnuts = 4/12
= $ 1/3
Rewrite the quadratic function in vertex form.
Y=2x^2+4x-1
Answer:
Vertex Pt (-1,-3) Y=2x^2+4x-1
Step-by-step explanation:
2[ (x+1)^2-1} - 1
2(x+1)^2-2} - 1
2(x+1)^2 - 3
How to find the mad of the set of data?
Answer:
add up all numbers
then divide that number by the amount of numbers.
Step-by-step explanation:
mad is basically finding the average of a set of numbers.
and how do you do that?
first, add up all numbers
ex: 1, 5,3,10,6,20,15,15,14 --> this adds up to 90.
then divide that number by the amount of numbers.
count how much numbers ehere are: there are 9 numbers.
divide 90 by 9 and the mad/average is 10.
plz give brainliestttt
Answer:
Here is an example..:
Find the M.A.D of the set of data
10.2 , 9.4, 11.3, 12.9
( so, we just have to add up all numbers )
10.2 + 9.4 + 11.3 + 12.9 = 43.8
Then we divide them by 4, you might be wondering..why 4?
that's because there are about 4 numbers in the data set.
So:
43.8
____= 10.95 (we found the mean! :D)
4
After that, we just have to subtract the mean (10.95) to the same numbers (or the so called data set)
10.95 - 10.2 = 0.75
10.95 - 9.4 = 1.55
10.95 - 11.3 = 0.35
10.95 - 12.9 = 1.95
For our final step, we just add up all the difference, then, divide it by 4 again.
0.75 + 1.55 + 0.35 + 1.95 = 4.6
--------- = 1.15
4
~hope this helps, have a good day/afternoon/night~
The value of a car decreases as shown in the table below. Which statements are true? Check all that apply.
well.. what are the statements?
Answer: The function that best represents the data is f(x)=24,512(0.755)^x.
The function decrease indefinitely.
It is reasonable to interpolate to the value of the car at 4.5 years.
Step-by-step explanation:
took the test
The difference of two numbers is 15. The product of the numbers is 700. What are the two numbers?
The difference of two numbers is 15, and their product is 700. The numbers are 25 and 10.
The two numbers are 25 and 10.
Let's denote the two numbers as x and y.From the given information, we have the equations x - y = 15 and xy = 700.Solving these simultaneous equations, we find x = 25 and y = 10.The two numbers are 35 and 20, or -20 and -35.
The problem states that the difference of two numbers is 15, and their product is 700. Let's denote the two numbers as x and y.
We have the following system of equations:
1) x - y = 152) x * y = 700From equation (1), we can express x in terms of y:
x = y + 15Substituting this into equation (2) gives:
(y + 15) * y = 700y^2 + 15y - 700 = 0To solve this quadratic equation, we use the quadratic formula: y = (-b ± √(b² - 4ac)) / 2a
Here, a = 1, b = 15, and c = -700. Plugging in these values, we get:
y = (-15 ± √(15² - 4 * 1 * -700)) / 2 * 1y = (-15 ± √(225 + 2800)) / 2y = (-15 ± √3025) / 2y = (-15 ± 55) / 2We have two solutions:
y = (40) / 2 = 20y = (-70) / 2 = -35The corresponding values for x are:
When y = 20, x = y + 15 = 35When y = -35, x = y + 15 = -20Therefore, the two pairs of numbers are (35, 20) and (-20, -35).
a rectangular Garden has a length of 6.8 M and a perimeter of 20.6 M what is the width of the garden
Answer:
First, you add 6.8 and 6.8 together, since it's a rectangular garden and the length is the same on both sides of the rectangle. This will equal 13.6. Then you subtract 13.6 from 20.6. You will get 7. Divide this in half and you will get 3.5. 3.5 is the width.
Step-by-step explanation:
Please help solve this problem
Answer: OPTION B.
Step-by-step explanation:
The number that are inside of the square root are called "radicands".
To subtract the expressions shown in the image attached, the radicands must be the same.
As you can see, both are equal, therefore, you can subtract the numbers that are in front of the square roots.
Then, you obtain the following result:
[tex]3\sqrt{2}-\sqrt{2}=(3-1)\sqrt{2}=2\sqrt{2}[/tex]
The answer is the option B.
Answer:
The correct answer is option B. 2√2
Step-by-step explanation:
It is given an expression, 3√2 - √2
Simplify the expression
The expression is 3√2 - √2
3√2 - √2 = √2(3 - 1) ( taking √2 as common)
= √2 x 2
= 2√2
Therefore the simplified form of given expression(3√2 - √2) is 2√2
The correct answer is option B. 2√2
Plz help !!!!!!!!!!!!!
Answer: [tex]\bold{12\sqrt2}[/tex]
Step-by-step explanation:
A 45-45-90 triangle has corresponding sides of: a - a - a√2
Since the side that corresponds to the 90° angle = a√2, then
[tex]a\sqrt2=24\\\\a=\dfrac{24}{\sqrt2}\\\\\\.\ =\dfrac{24}{\sqrt2}\bigg(\dfrac{\sqrt2}{\sqrt2}\bigg)\\\\\\,\ =\dfrac{24\sqrt2}{2}\\\\\\.\ =\boxed{12\sqrt2}[/tex]
12 square root of 2 will be the answer
Show work please!!! Solve the equation by completing the square. If necessary, round to the nearest hundredth.
x^2-18x=19
A. 1;19
B.-1;19
C.3;6
D.-3;1
Solve x^2-81=0
A.0
B.-9
C.-9,9
D.9
Answer:
1. B 2. C
Step-by-step explanation:
1. x^2-18x+(18/2)^2=19+(18/2)^2
(x-18/2)^2=100
(x-9)^2=100
x1= -1 x2= 19
2. x^2=81
x=+-9
x1=-9 x2=9
what is the product of (a + 3)(a - 2)
Answer: [tex]a^2+a-6[/tex]
Step-by-step explanation:
To solve the exercise you must apply the following proccedure:
- Apply the distributive property.
- Keepn on mind that when you multiply two powers with equal base, you must add the exponents.
- Add like terms.
Then:
[tex](a)(a)-(a)(2)+(3)(a)-(3)(2)=a^2-2a+3a-6=a^2+a-6[/tex]
Answer:
[tex]\large\boxed{(a+3)(a-2)=a^2+a-6}[/tex]
Step-by-step explanation:
Use FOIL: (a + b)(c + d) = ac + ad + bc + bd
[tex](a+3)(a-2)=(a)(a)+(a)(-2)+(3)(a)+(3)(-2)\\\\=a^2-2a+3a-6\qquad\text{combine like terms}\\\\=a^2+a-6[/tex]
Rewrite the quadratic function in vertex form.
Y=2x^2+4x-1
Answer:
[tex]\large\boxed{y=2(x+1)^2-3}[/tex]
Step-by-step explanation:
The vertex form of an equation of a parabola:
[tex]y=a(x-h)^2+k[/tex]
(h, k) - vertex
We have
[tex]y=2x^2+4x-1=2\left(x^2+2x-\dfrac{1}{2}\right)[/tex]
We must use the formula: [tex](a+b)^2=a^2+2ab+b^2\qquad(*)[/tex]
[tex]2\left(x^2+2(x)(1)-\dfrac{1}{2}\right)=2\bigg(\underbrace{x^2+2(x)(1)+1^2}_{(*)}-1^2-\dfrac{1}{2}\bigg)\\\\=2\left((x+1)^2-1-\dfrac{1}{2}\right)=2\left((x+1)^2-\dfrac{3}{2}\right)[/tex]
Use the distributive formula a(b + c) = ab + ac
[tex]2(x+1)^2+2\left(-\dfrac{3}{2}\right)=2(x+1)^2-3[/tex]
PLZ HELP! Need this DESPERATELY! Worth 15 points and will mark Brainliest! Thx so much :)
Answer:
#1 (1,10),(2,9),(2,8),(4,7),(5,6),(6,5),(7,4),(8,3),(9,2),(10,1). #2 (1,18),(2,9),(3,6),(6,3),(9,2),(18,1)
1/3 to 2/3 percent of change
[tex]\bf \cfrac{2}{3}\implies \cfrac{1+1}{3}\implies \cfrac{1}{3}+\stackrel{\textit{100\%}}{\cfrac{1}{3}}\impliedby \textit{change of 100\%}[/tex]
Ms. Oliver sells bookmarks for $0.90 each to raise money to purchase new library books. So far, she has collected a total of $69.12. Ms.Oliver uses the equation below to represent her bookmark sales. Which of the following could represent the number of bookmarks Ms.Oliver has sold so far?
0.96b=69.12
A) 7 bookmarks
B) 69 bookmarks
C) 68 bookmarks
D) 72 bookmarks
The answer to you question is = c) 68 bookmarks
The correct answer is D.
0.96 x 72 = 69.12
Hope this helps. Please mark brainliest and comment if correct.
solve the sysyem of equations 3x+y=3 x+y=2
Answer:
{x = 1/2 , y = 3/2
Step-by-step explanation:
Solve the following system:
{3 x + y = 3 | (equation 1)
{x + y = 2 | (equation 2)
Subtract 1/3 × (equation 1) from equation 2:
{3 x + y = 3 | (equation 1)
{0 x+(2 y)/3 = 1 | (equation 2)
Multiply equation 2 by 3:
{3 x + y = 3 | (equation 1)
{0 x+2 y = 3 | (equation 2)
Divide equation 2 by 2:
{3 x + y = 3 | (equation 1)
{0 x+y = 3/2 | (equation 2)
Subtract equation 2 from equation 1:
{3 x+0 y = 3/2 | (equation 1)
{0 x+y = 3/2 | (equation 2)
Divide equation 1 by 3:
{x+0 y = 1/2 | (equation 1)
{0 x+y = 3/2 | (equation 2)
Collect results:
Answer: {x = 1/2 , y = 3/2
Answer:
[tex]\large\boxed{x=\dfrac{1}{2}\ and\ y=1\dfrac{1}{2}\to\left(\dfrac{1}{2},\ 1\dfrac{1}{2}\right)}[/tex]
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}3x+y=3\\x+y=2&\text{change the signs}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}3x+y=3\\-x-y=-2\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2x=1\qquad\text{divide both sides by 2}\\.\qquad\boxed{x=\dfrac{1}{2}}\\\\\text{Put the value of x to the second equation:}\\\dfrac{1}{2}+y=2\qquad\text{subtract}\ \dfrac{1}{2}\ \text{from both sides}\\\boxed{y=1\dfrac{1}{2}}[/tex]
Find the slope of the line through each pair of points.
(-14, -18), (6, 18)
Answer:
9/5
Step-by-step explanation:
To find the slope, use the slope formula.
[tex]m = \frac{y_2 - y_1}{x_2-x_1} = \frac{18 - -18}{6--14} = \frac{36}{20} =\frac{9}{5}[/tex]
In a lab, a 30% acid solution is being mixed with a 5% acid solution to create a 10% acid solution. What is the ratio of the amount of the 30% solution to the amount of 5% solution used to create the 10% solution? 1:3 1:4 1:5 1:6
Answer:
1 : 4
Step-by-step explanation:
Let x represent the amount of 30% solution for 1 unit of 5% solution. Then the amount of acid in the mix is ...
0.30x + 0.05·1 = 0.10·(x +1)
0.30x + 0.05 = 0.10x + 0.10 . . . . eliminate parentheses
0.20x = 0.05 . . . . . . . . . . . . . . . . subtract 0.05+0.10x
x = 0.05/0.20 = 1/4
That is, the ratio x : 1 is 1 : 4.
Answer:
The ratio of the amount of the 30% solution to the amount of 5% solution will be 1 : 4.
Step-by-step explanation:
Suppose, the amount of 30% acid solution is [tex]x[/tex] and the amount of 5% acid solution is [tex]y[/tex].
So, the total amount of the mixture [tex]= x+y[/tex], which is 10% acid solution.
Amount of acid in 30% solution [tex]= 30\%\ of\ x=0.30x[/tex]
Amount of acid in 5% solution [tex]=5\%\ of\ y= 0.05y[/tex]
Amount of acid in the mixture [tex]=10\%\ of\ (x+y)=0.10(x+y)[/tex]
Now, the equation will be......
[tex]0.30x+0.05y=0.10(x+y)\\ \\ 0.30x+0.05y=0.10x+0.10y\\ \\ 0.30x-0.10x=0.10y-0.05y\\ \\ 0.20x=0.05y\\ \\ \frac{x}{y} =\frac{0.05}{0.20} =\frac{5}{20}=\frac{1}{4}\\ \\ x:y=1:4[/tex]
So, the ratio of the amount of the 30% solution to the amount of 5% solution will be 1 : 4.
Solve the equation.
3.4 = –13.6 + (–3.4c) + 1.7c
Answer:
c= (-10)
Step-by-step explanation:
Simplify both sides of the equation then isolate the variable.
Answer:
c= 15.9
Step-by-step explanation:
The vertex angle issoceles measure 40 what is the measure of angle base
Answer:
100
Step-by-step explanation:
Because it is an issoceles triangle, the sides are equal,making 40 on 1 side be the same on the other side, then since its not obtuse, it should add up to 180, subtract 80 from 180, and get the answer
Rewrite in standard form |x|-4=0
Answer:
x = ±4
Step-by-step explanation:
we are given |x|-4=0
The first step is to add 4 on both sides of the equation;
|x|-4+4=0+4
|x|=4
Getting rid of the absolute symbol implies we have to add the positive and negative symbols to the right hand side of the equation;
x = ±4
Please help me (50 points)
Answer:
A. 40°
Step-by-step explanation:
Hello, there! The angle is across from (vertical to) the angle given. Therefore, the 2 angles are the same.
I hope I helped!
Let me know if you need anything else!
~ Zoe
Answer:
x = 40°, or A)
Step-by-step explanation:
The Vertical Angle Theorem states that if the angles are vertically (directly) opposite of each other, the measurements will be the same.
Therefore, if the opposite angle of x is 40, then x also = 40.
~
PLEASE HELP!!!!! I HAVE A DEADLINE !!!!
Bob built a rocket that has a radius of 2 feet. Find the volume of the whole rocket he built. Round your answer to the nearest tenth. Show all of your work!!!
Answer:
V_rocket = 44[tex]\pi[/tex] ft^3 = 138.2 ft^3
Step-by-step explanation:
Volume of cone
V_cone = (1/3)*([tex]\pi[/tex]*(radius^2))*h
radius = 2ft
h = height of the cone = 3 ft
pi = 3.1416
V_cone = 4[tex]\pi[/tex] ft^3
Volume cylinder
V_cylin = ([tex]\pi[/tex]*(radius^2))*h_cyl
h_cyl = height of the cylinder = 10 ft
V_cylin = 40[tex]\pi[/tex] ft^3
Volume rocket
V_rocket = V_cone + V_cylin = 4[tex]\pi[/tex] ft^3 + 40[tex]\pi[/tex] ft^3
V_rocket = 44[tex]\pi[/tex] ft^3 = 138.2 ft^3
The function f(x) = x2 is transformed to f(x) = 3x2. Which statement describes the effect(s) of the transformation on the graph of the original function?
A)The parabola is wider.
B)The parabola is narrower.
C)The parabola is wider and shifts 3 units up.
D)The parabola is narrower and shifts 3 units down.
Answer: B) The parabola is narrower.
Step-by-step explanation:
[tex]y=ax^2+bx+c[/tex] is the Standard form of a quadratic function, where a, b and c are coefficients ([tex]a\neq0[/tex]).
With the coefiicient "a" you can determine how narrow or wide the parabola is:
[tex]|a|>1[/tex] makes the parabola narrow.
[tex]0<|a|<1[/tex] makes the parabola wide.
Given the transformation of the parent function: [tex]f(x)=3x^2[/tex], you can identify that:
[tex]a=3[/tex]
Then:
[tex]|a|>1[/tex]
Therefore, as the parent function is multiplied by 3 and know [tex]|a|>1[/tex], the parabola if narrower than the parabola of the quadratic parent function [tex]f(x)=x^2[/tex].
Answer:
Option B - The parabola is narrower.
Step-by-step explanation:
Given : The function [tex]f(x)=x^2[/tex] is transformed to [tex]f(x)=3x^2[/tex]
To find : Which statement describes the effect(s) of the transformation on the graph of the original function?
Solution :
When the function of parabola [tex]f(x)=x^2[/tex] is transformed by 'a' unit [tex]f(x)=ax^2[/tex]
Then, [tex]|a|>1[/tex] makes the parabola narrow.
and [tex]0<|a|<1[/tex] makes the parabola wide.
On comparing with given function,
|a|=|3| >1 which is greater than 1.
Which means it makes the parabola narrow.
Therefore, the parabola is narrower.
So, Option B is correct.
WILL MARK BRAINLIEST!!!!!!!
Please show work.
10 is 40% of what number?❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️
Answer:
25
Step-by-step explanation:
10*100/40
10*100= 1000
1000/40= 25
Answer:
x=25
explanation:
so we have 40% of x, x =10
40/100 x, x=10
multiplying both sides by 100 and dividing both sides by 40
x=25
calculator check~
10x100÷40 which also gives you the answer of 25
❤️ hope this helps -bangtanboys7❤️
HELP ME EVERYONE PLZ
Clarissa is an artist and is making a large abstract sculpture for an exhibition.
She uses 12 pieces of glass for every pound of copper and 6.5 pounds of bronze for every 75 pieces of glass. She is using 22.5 pounds of copper in the sculpture.
How many pounds of bronze will she use in the sculpture?
A.
22.5 pounds
B.
11.54 pounds
C.
41.54 pounds
D.
23.4 pounds
Answer:
Option D. 23.4 pounds
Step-by-step explanation:
step 1
Find the pieces of glass for 22.5 pounds of copper in the sculpture.
using proportion
[tex]\frac{12}{1}=\frac{x}{22.5} \\ \\x=22.5*12\\ \\x=270\ piece\ of\ glass[/tex]
step 2
Find the pounds of bronze used in the sculpture
using proportion
[tex]\frac{6.5}{75}=\frac{x}{270} \\ \\x=270*6.5/75\\ \\x=23.4\ pounds[/tex]
1. Find the area of the composite figure.
2. The previous diagram represents a scale drawing of a hexagonal garden. The scale factor is 1cm=0.5m. What is the area of the garden? A=a12m2 B=a16m2 C=a24m2 D=a240m2
3. For which shape would you use the formula (bh)+(1/2bh) to find the area?
4. Which shapes could this hexagon be decomposed into to find its area? Choose all that apply. A. Two trapezoids B. Six triangles C. One rectangle and two triangles D. Two parallelograms
5. Which formulas could be use to find the area of the composite shape? Choose all that apply. A=2bh A=2(1/2bh) A=bh+bh A=1/2bh+bh
The correct formulas for the composite shape are A. [tex]\( A = 2bh \)[/tex] and B. [tex]\( A = 2\left(\frac{1}{2}bh\right) \)[/tex].
1. Find the area of the composite figure.
You can use the formula for the area of a parallelogram: [tex]$A = bh$[/tex]. Since there are two parallelograms, you add their areas:
[tex]\[ A = 2bh \][/tex]
2. The previous diagram represents a scale drawing of a hexagonal garden. The scale factor is 1cm=0.5m. What is the area of the garden?
If the scale factor is 1 cm = 0.5 m, the area in the drawing needs to be scaled up. The scale factor squared is used for areas. Therefore,
[tex]\[ \text{Area in meters}^2 = (\text{Area in centimeters}^2) \times (\text{Scale factor})^2 \][/tex]
3. For which shape would you use the formula [tex]\((bh) + \left(\frac{1}{2}bh\right)\)[/tex] to find the area?
This formula represents the sum of the areas of a parallelogram and a triangle. So, you would use this formula for a shape that consists of both a parallelogram and a triangle.
4. Which shapes could this hexagon be decomposed into to find its area? Choose all that apply.
Since a hexagon has six sides, it can be decomposed into various combinations of shapes. All the given options are valid:
- A. Two trapezoids
- B. Six triangles
- C. One rectangle and two triangles
- D. Two parallelograms
5. Which formulas could be used to find the area of the composite shape? Choose all that apply.
The correct formulas for finding the area of the composite shape (made up of two parallelograms) are:
- A. [tex]\(A = 2bh\)[/tex]
- B. [tex]\(A = 2\left(\frac{1}{2}bh\right)\)[/tex]
So, the correct choices are A and B.
Math pls help ASAP !
The circumference is 6 and the arc is 1.
This means that the arc is 1/6 of the circumference.
A full circle is 360 degrees, since the arc is 1/6 of the circle, the central angle would be 1/6 of 360.
360 x 1/6 = 60
The central angle is 60 degrees.