Answer:
The width of the rectangular prism is 9 cm.
Step-by-step explanation:
From the formula of the volume of a bar [tex]V=whl[/tex] we see that [tex]w=\frac{V}{hl}=\frac{720}{8\cdot 10} = 9[/tex] cm.
While on vacation in Lancaster, David went out for a dinner that cost $75. If sales tax in
Lancaster is 4% and David left a 20% tip on $75, what was the total cost of his meal?
Answer:
$93.
Step-by-step explanation:
Given that David went out for a dinner that cost $ 75, the price at which a sales tax of 4% was applied, and left a 20% tip on $ 75, to determine the total cost of his meal the following calculation must be performed:
75 + (75 x 0.2) + (75 x 0.04) = X
75 + 15 + 3 = X
93 = X
Therefore, the total cost he payed for his meal was $ 93.
Answer:
ok
Step-by-step explanation:
ok
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y
3+
2-
2
4 -3 -2
-1
1
2
-2
-3
What is the slope of the line?
Answer:
[tex]\displaystyle m=\frac{1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a Cartesian PlaneCoordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (5, 0)
Point (-4, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{-3-0}{-4-5}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-3}{-9}[/tex][Fraction] Simplify: [tex]\displaystyle m=\frac{1}{3}[/tex]Find the circumference of 17 km
Answer:
23
Step-by-step explanation:
Area = π·r2 = 3.14·2.712 = 23 square kilometers(*)
21=8+x (solve for x)
Answer:
X=13
Step-by-step explanation:
Answer:
x=13
Step-by-step explanation:
21=8+x
Swap sides so that all variable terms are on the left hand side.
8+x=21
Subtract 8 from both sides.
x=21−8
Subtract 8 from 21 to get 13.
x=13
What is the equation of a line that contains the point (3, 5) and hasba slope of 3 in slope-intercept form?
Answer:
y= 3x - 5
Step-by-step explanation:
y= mx+b is slope-intercept form,
m= slope (3)
b= y-intercept (5)
Therefore, y = 3x - 5 is your form.
If you wanted to calculate it, you'd input the x value of 3, like y = 3^3 - 5 to find your slope intercept.
Factor the polynomial completely.
x^4 – 256
Answer:
(x²+16)(X+4)(x-4)
Step-by-step explanation:
x⁴ can be written as (x²)²
256 can be written as (16)²
by identity. a²-b²= (a+b)(a-b) :
(x²+16)(x²-16)
x²-16 can be written as (x)²- 4²
by identity. a²-b²= (a+b)(a-b) :
(X+4)(x-4)
Therefore, the factors altogether would be
(x²+16)(x+4)(x-4)
65 POINTS!!! ANSWER ASAP PLEASE!
Computer keyboards have many different types of keys. A key may have a number, letter, or symbol (like a question mark) on it. On the keyboard shown, what percent of the keys do NOT have numbers on them?
A.
40%
B.
25%
C.
75%
D.
10%
Answer:
abt 75%
Step-by-step explanation:
Please find the slope of (-2, 4) and (3, -5)
Answer:
The slope of the line = m = -9/5
Step-by-step explanation:
Given the points
(-2, 4)(3, -5)Determining the slope between (-2, 4) and (3, -5)
(x₁, y₁) = (-2, 4)
(x₂, y₂) = (3, -5)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [-5 - 4] / [3 - (-2)]
= [-9] / [3 + 2]
= -9/5
Thus, the slope of the line = m = -9/5
Answer:
m = -9/5
Step-by-step explanation:
Taking (-2,4) as (x1,y1), and
Taking (3,-5) as (x2,y2)
Using the slope (m) formula:
[tex]m = \frac{y2-y1}{x2-x1}[/tex]
= (-5-4)/(3-(-2))
= -9/(3+2)
= -9/5
Hence, the slope is -9/5
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
-2 (1/3x - 1/5) please answer ASAP I have to turn this in in 30 min!!
Answer:
1/3 + 1/5 them you solve -2
Step-by-step explanation:
Answer:
-2/3x+2/5
Step-by-step explanation:
Open up parentheses
-2 x 1/3x= -2/3x
-2 x 1/5= 2/5
5. Os 384 participantes de uma campanha beneficente foram igualmente distribut
dos em 16 locais de arrecadação do município. Quantos participantes ficaram em
cada local de arrecadação?
Answer:
24
Step-by-step explanation:
384÷16= 24
Can someone help me with this pls, it's due very soon!!
HELPPP DUE IN FEW MINS ILL GIVE BRAINLESS
Answer:
C. Find the sum of all the values and then divide by the number of values
Step-by-step explanation:
Show that the triangles are similar by comparing the ratios of the corresponding sides. Simplify your answer completely in order to be able to compare the ratios of the corresponding sides. Please help
Answer/Step-by-step explanation:
AC = 1.2
AB = 4
BC = 2.6
DF = 3
DE = 10
EF = 6.5
Thus:
[tex] \frac{DE}{AB} = \frac{10}{4} = \frac{5}{2} [/tex]
[tex] \frac{DF}{AC} = \frac{3}{1.2} = \frac{3*10}{1.2*10} = \frac{30}{12} = \frac{5}{2} [/tex]
[tex] \frac{EF}{BC} = \frac{6.5}{2.6} = \frac{6.5*10}{2.6*10} = \frac{65}{26} = \frac{5}{2} [/tex]
The ratio of their corresponding sides are all equal to ⁵/2. Therefore, both triangles are similar.
Question 5
Calculate the perimeter of the sector
4cm
285
The arc length of the sector will be 19.89 centimeters.
What is the arc length of the sector?Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be
Arc = (θ/2π) 2πr
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The radius of the sector is 4 cm. And the central angle is 285°.
Then the perimeter of the sector is given as,
Arc = (285° / 360°) x 2 x 3.14 x 4
Arc = 19.89 cm
The arc length of the sector will be 19.89 centimeters.
More about the arc length of the sector link is given below.
https://brainly.com/question/15955580
#SPJ2
What is this surface area?!!??
Answer:
132 in^2Step-by-step explanation:
4×3×1/2×2+10×4×3=132
Why would someone choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand? Explain your reasoning.
Step-by-step explanation:
a graphing calculator is more accurate then graphing by hand especially when you dont know the exactly were the point is
Answer:
a graphing calculator is just easier to graph the points than having to put every point on a piece of graph paper. the calculator also can tell you a bunch of other things like the domain or range or y intercept or x intercept. it’s just all along easier
Step-by-step explanation:
I have no clue if this is the sample response so watch out
The sum of 2 numbers is 30. Their product is 176. What are the 2 numbers?
Answer:
Step-by-step explanation:
x, 30 - x add to 30. The other condition says
x (30 - x) = 176. Multiply it out.
30x - x^2 = 176, so
x^2 - 30x = -176, complete square by adding 15^2 to both sides
(x - 15)^2 = 225 - 176 = 49, take square root
x - 15 = 7, so one number is:
x = 22 and the other is 30 - x = 8.
A screening test for a newly discovered disease is being evaluated for its performance as a screening test. In order to determine the effectiveness of the new test, it was administered to 270 workers. A total of 42 individuals who had been diagnosed with the disease tested positive for it. Results showed a negative test for an additional 25 people with the disease. A total of 51 people without the disease tested positive. What is the sensitivity, specificity, positive predictive value, negative predictive value, and accuracy of the test
Answer:
- Sensitivity = 62.7 %
- specificity = 74.9 %
- positive predictive value = 45.2 %
- negative predictive value = 85.9 %
- Accuracy of the test = 71.9 %
Step-by-step explanation:
Given the data in th question;
CONDITION POSITIVE CONDITION NEGATIVE TOTAL
TEST POSITIVE 42 51 93
TEST NEGATIVE 25 152 177
TOTAL 67 203 270
so; A=42, B=51, C=25 and D=152
Sensitivity = [A / ( A + C) ]×100= [42 /( 42 + 25)]×100 = [42 / 67] 100=
Sensitivity = 62.7 %
specificity = [D / ( D + B) ]×100= [152 /( 152 + 51)]×100 = [152 / 203] 100=
specificity = 74.9 %
positive predictive value = [A / ( A + B) ]×100 = [42 /( 42 + 51)]×100 =[42/93] 100
positive predictive value = 45.2 %
negative predictive value = [D / ( D + C) ]×100 = [152 /( 152 + 25)]×100 =[152/177] 100
negative predictive value = 85.9 %
Accuracy of the test = [A + D / ( A+B+C+D)] = [42 + 152 / ( 42+51+25+152)]
= [ 194 / 270 ]
Accuracy of the test = 71.9 %
From midnight to 6:00 am, the temperature rose 1.55c each hour. If the temperature at 6:00 am was 4.3c, what was the temperature at midnight?
Distribute – 2x (-1 + 3x).
Answer:
4x
Step-by-step explanation:
2x(-1+3)
distributive property: -2x+6x
-2x+6x=4x
I need help with this I roll mark you if right
Answer:
That would be A my good Sir (or ma'am).
Step-by-step explanation:
A triangle has a total of 180 degrees in it , however we already know one side is 45, so we can add that to the solution, we also know that 2 sides are the exact same, so therefore, we will be multiplying our unknown value ( x = 67.5 btw, not so unknown) by 2, and you will always get 180 degrees, thats how you check your answer, also if you sbutract 45 from 180 and divide the product by 2 you will get the value of x ( which is 67.5).
Thats It Helps It Helps!
please help :( i’ve posted like 10 times and need answerers fast but no one can help. will give thanks and mark brainlist
9514 1404 393
Answer:
BC ≈ 9.6 mi
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle.
Tan = Opposite/Adjacent
tan(58°) = BC/(6 mi)
BC = (6 mi)tan(58°)
BC ≈ 9.6 mi
2x^3+7x^2-4x+7/x^2+2x+2
Answer:
Step-by-step explanation:
Ealuate the following example
52 + 4(6 + 4 + 2)
The value of the expresson
Answer:
I think the answer is 100
Answer:
[tex]100[/tex]
Step-by-step explanation:
1. Simplify 6 + 4 to 10.
[tex]52 + 4 \times (10 + 2)[/tex]
2. Simplify 10 + 2 to 12.
[tex]52 + 4 \times 12[/tex]
3. Simplify 4 × 12 to 48.
[tex]48 + 52[/tex]
5. Simplify.
[tex]100[/tex]
therefor, the answer is 100.
What is the distance between (4, 6) and (5, 0)
Answer:
6 units
Step-by-step explanation:
Given data
x1=4
y1=6
x2=5
y2=0
substitute in the formula for the distance between two points
d=√((x_2-x_1)²+(y_2-y_1)²)
d=√((5-4)²+(0-6)²)
d=√((1)²+(6)²)
d=√36)
d=6
Hence the distance is 6 units
Define/explain the symmetric property.
Step-by-step explanation:
The Symmetric Property states that for all real numbers x and y , if x=y , then y=x . Transitive Property. The Transitive Property states that for all real numbers x ,y, and z, if x=y and y=z , then x=z .
Find the unit rate for 6 and 2/5 cookies in 4 minutes
Answer:
Step-by-step explanation:
6 2/5 cookies in 4 mins
To find the unit rate in minutes, divide 6 2/5 and 4 by 4.
In one minute is 1.6 cookies.
To find the unit rate in cookies, we divide by 6 2/5.
For one cookie, there are 5/8 minutes.
Estimate the unit rate to the nearest whole number.
74.75
Answer:
umm.... 75? id say that sooo yea
Answer:
The answer is $75.00
Step-by-step explanation:
0.75 is above fifty, so you round up. Which gets you to 75
2
Simplify the expression by combining like terms.
2x + 4y + 6 + 2y - 5+ 3x
<
Answer:
5x + 6y + 1
Step-by-step explanation:
how do you solve y+1=2x
y =2x-1
Step-by-step explanation: