Answer:
The other dimension is x=4 cm
Step-by-step explanation:
Surface Area of a Rectangular Prism
Given a rectangular prism of dimension x, y, and z. Its surface area is calculated with the formula:
A = 2(xy + yz + xz)
We are given the dimensions y=5 cm and z=6 cm. We also have A=148 cm2. Substituting:
148 = 2(x*5 + 5*6 + x*6)
Dividing by 2:
74 = x*5 + 5*6 + x*6
Operating:
74 = 5x + 30 + 6x
Simplifying:
74 = 11x + 30
Subtracting 30:
44 = 11x
Dividing by 11:
x = 4 cm
The other dimension is x=4 cm
Four brothers each bough two hot dogs and a bag of chips at the football concession stand if the bag of chips was $1.25 and the total was $18.20 what was the price of one hot dog
Answer:
$1.65
Step-by-step explanation:
1.25 x 4 = 5.00
18.20 - 5.00 = 13.20
13.20 / 8 = 1.65
they bought 8 hotdogs because there is 4 brothers and each ate 2 so 4 x 2 = 8
HELP ME NOW ASAPPP UnU
Answer:
56.757 and if u divide it : 676.75
Step-by-step explanation:
uwu
The area of a circle is 25.12 square yards. If the dimensions of the circle are tripled, what will be the area of the new figure?
1. 226.08 yd 2
2. 8.37 yd 2
3. 75.36 yd 2
4. 150.72 yd 2
Answer:
75.36
Step-by-step explanation:
if its 25.12 jus multiply it by 3 since its tripled
Choose Yes or No to tell if the fraction
will make each equation true.
3
+ a
=
23
24
Choose.. v
+=
Choose.. v
13
18
Choose.. v
-=+
Choose.. v
15
Answer:
yes
yes
no
yes
Step-by-step explanation:
The points (0,2), (1,3), (2,6), and (3,11) are on the graph of a function. Which of the following equations represents that function?
A.h(x)=x^2+2
B.h(x)=0.5x^2+1.5
C.h(x)=2x^2
D.h(x)=x+2
Given:
The points (0,2), (1,3), (2,6), and (3,11) are on the graph of a function.
To find:
The function.
Solution:
In option A,
[tex]h(x)=x^2+2[/tex]
Putting x=0, 1, 2, 3 respectively, we get
[tex]h(0)=(0)^2+2=2[/tex]
[tex]h(1)=(1)^2+2=3[/tex]
[tex]h(2)=(2)^2+2=6[/tex]
[tex]h(3)=(3)^2+2=11[/tex]
The function passes through the points (0,2), (1,3), (2,6), and (3,11). So, [tex]h(x)=x^2+2[/tex] is the required function.
In option B,
[tex]h(x)=0.5x^2+1.5[/tex]
At x=0,
[tex]h(0)=0.5(0)^2+1.5=1.5\neq 2[/tex]
So, option B is incorrect.
In option C,
[tex]h(x)=2x^2[/tex]
At x=0,
[tex]h(0)=2(0)^2=0\neq 2[/tex]
So, option C is incorrect.
In option D,
[tex]h(x)=x+2[/tex]
At x=2,
[tex]h(2)=(2)+2=4\neq 6[/tex]
So, option D is incorrect.
Therefore, the correct option is A.
Let the random variable X be equally likely to assume any of the values 1/14, 1/7, or 3/14. Determine the mean and variance of X. The mean is Enter your answer; The mean is 1/7 [Give exact answer in form of fraction.] The variance is Enter your answer; The variance is 0.1190 [Round your answer to four decimal places (e.g. 98.7654).]
Answer:
1/7 ;
0.0034
Step-by-step explanation:
Given that:
X = 1/14, 1/7, 3/14
n = number of observations = 3
Since, probability of X is equally likely ;
P(X) = Σp(x) = 1 ; p(x) = 1/n = 1/3
The mean, m ;
Σx*p(x) = (1/3 * 1/14) + (1/3 * 1/7) + (1/3 * 3/14)
= 1/42 + 1/21 + 3/42
= (1 + 2 + 3) / 42
= 6 / 42
= 1/7
The variance :
Σx²*p(x) - m²
((1/3) * (1/14)^2) + ((1/3) * (1/7)^2) + ((1/3) * (3/14)^2) - (1/7)^2
= 0.0238095 - 0.0204081
= 0.0034014
= 0.0034
Luzia ran the 400-meter race 3 times. Her fastest time was 52.3 seconds. Her slowest time was 56.3 seconds. If Luzia’s average time was 54.0 seconds, what was her time for the third race?
Answer: 53.5 seconds
Step-by-step explanation:
John had to different syrups. Syrup A is 2 parts sugar and 8 parts water, and Syrup B is 3 parts syrup and 5 parts water. How much of each should John mix together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water?
It all started when my mom met my dad...
You'll know the rest
convert the following equation into standard form Y equals negative 7X over 8 +4
9514 1404 393
Answer:
7x +8y = 32
Step-by-step explanation:
Clear fractions and add the opposite of the x-term.
y = -7x/8 +4
8y = -7x +32 . . . . . multiply by 8
7x +8y = 32 . . . . . .add 7x
150 into the ratio 4:11
9514 1404 393
Answer:
40 : 110
Step-by-step explanation:
There are a number of ways you can go at this. One of my favorite is to consider the value of a "ratio unit." Here, a total of 4+11 = 15 "ratio units" represent the total to be divided: 150. So the value of each one is ...
150/15 = 10
Then the division is ...
4 : 11 = 10·4 : 10·11 = 40 : 110
_____
Alternate solution
Let x represent the larger share. Then the ratio is ...
(150 -x) : x = 4 : 11
Cross-multiplying gives ...
11(150 -x) = 4x
1650 = 15x . . . . . add 11x, simplify
110 = x . . . . . . . . . divide by 15; the larger share
150-x = 150-110 = 40 . . . . . . the smaller share
The division is 40 : 110.
so billy has 10 apples if he subtracts it by 6 then times it by 3 then divides it by 2 what does he get?
Answer:
6
Step-by-step explanation:
3 × (10 - 6) ÷ 2 =?
The strategy that we are using here is PEMDAS:
First, you subtract 6 from 10 which is 4. 10 - 6 =4
Next, you multiply 4 by 3. 4 × 3 = 12
Then, you divide 12 by 2. 12 ÷ 2 = 6
Your answer is 6.
Your welcome. Showed my work below.
Please help! I need by tomorrow!
Answer:
-1 = -6
-5 = 2
2 = 4
or it could be
-1,-1
-5, -1
2,2
Step-by-step explanation:
Help Me :^
What is the quotient?
~Negative StartFraction 3 over 8 EndFraction divided by negative one-fourth~
a. Negative 1 and one-half
b. Negative StartFraction 3 over 32 EndFraction
c. StartFraction 3 over 32 EndFraction
d. 1 and one-half
Answer:
d
Step-by-step explanation:
Dividing by a fraction is the same as multiplying by the reciprocal of the fraction.
Answer:
d madam
Step-by-step explanation:
edge 2021
y−34=414 what is the answer
Answer: y = 448
Step-by-step explanation: I’m just good
Triangle RST has vertices R(-3,2), S(0,-5),and T(4,5).When translated R’ has coordinates (4, 1). Find the coordinates of S’ and T’.
How many 1/6 pieces are there in 3/6
Answer:
there are 3 1/6 pieces
Step-by-step explanation:
since 3 x 1/6=3/6.
another explanation:
(3/6)/(1/6)=(3/6) x (6/1) since you multiply by inverse when dividing fractions. Then, (3/6) x (6/1) = 18/6, which equals 3.
Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for the constant of integration.) xe7x dx; u
Answer:
[tex]\displaystyle \int {xe^{7x}} \, dx = \frac{e^{7x}}{7} \bigg( x - \frac{1}{7} \bigg) + C[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integration
IntegralsIntegration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
U-Substitution
Integration by Parts: [tex]\displaystyle \int {u} \, dv = uv - \int {v} \, du[/tex]
[IBP] LIPET: Logs, inverses, Polynomials, Exponentials, TrigStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int {xe^{7x}} \, dx[/tex]
Step 2: Integrate Pt. 1
Identify variables for integration by parts using LIPET.
Set u: [tex]\displaystyle u = x[/tex][u] Basic Power Rule: [tex]\displaystyle du = dx[/tex]Set dv: [tex]\displaystyle dv = e^{7x} \ dx[/tex][dv] Exponential Integration [U-Substitution]: [tex]\displaystyle v = \frac{e^{7x}}{7}[/tex]Step 3: integrate Pt. 2
[Integral] Integration by Parts: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \int {\frac{e^{7x}}{7}} \, dx[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{1}{7} \int {e^{7x}} \, dx[/tex]Step 4: Integrate Pt. 3
Identify variables for u-substitution.
Set u: [tex]\displaystyle u = 7x[/tex][u] Basic Power Rule [Derivative Property - Multiplied Constant]: [tex]\displaystyle du = 7 \ dx[/tex]Step 5: Integrate Pt. 4
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{1}{49} \int {7e^{7x}} \, dx[/tex][Integral] U-Substitution: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{1}{49} \int {e^u} \, dx[/tex][Integral] Exponential Integration: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{e^u}{49} + C[/tex][u] Back-Substitute: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{e^{7x}}{49} + C[/tex]Factor: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{e^{7x}}{7} \bigg( x - \frac{1}{7} \bigg) + C[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
4. Find the value of x. 140° 150° 130° to Da) 110 b) 90 O c) 130 O d) 120
Answer:
D
Step-by-step explanation:
The sum of angles of an hexagon is [tex]4\cdot 180[/tex]°.
Solve the system of equations by the substitution method.
y = 4x-9
y-x=-3
A.(2, -1)
B.(-4,-7)
C.(-1,2)
D.(-7,-4)
Answer:
A. (2, -1)
Step-by-step explanation:
(4x - 9) - x = -3
3x - 9 = - 3
3x = 6
x = 2
y = 4(2) - 9
y = 8 -9
y = - 1
(2, -1)
Check
-1 - 2 = -3
What is the slope of the line ?
Answer:
slope: 3/1.5
Step-by-step explanation:
You go up 3 and over 1 1/2 like its half then your gonna write 3/1.5
Plz guys help me plz
Answer:
B
Step-by-step explanation:
✔️Rate of change using two points on the line, say (2, 60) and (3, 75);
Rate of change (m) = ∆y\/∆x = (75 - 60) / (3 - 2) = 15/1
Rate of change = 15
This means each class costs $15
✔️Initial value is the y-intercept (b). It represents the initial start-up fee.
To find initial value/y-intercept (b), substitute m = 15 and (x, y) = (2, 60) into y = mx + b.
Thus:
60 = 15(2) + b
60 = 30 + b
60 - 30 = b
30 = b
b = 30
Therefore, initial start-up fee is $30.
An article describes a study in which a new type of ointment was applied to forearms of volunteers to study the rates of absorption into the skin. Eight locations on the forearm were designated for ointment application. The new ointment was applied to five locations, and a control was applied to the other 3. How many different choices were there for the five locations to apply the new ointment
Answer:
There were 56 different choices for the five locations to apply the new ointment.
Step-by-step explanation:
The order of the locations in which the new ointment was applied is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
How many different choices were there for the five locations to apply the new ointment
Five locations from a set of 8. So
[tex]C_{8,5} = \frac{8!}{5!(8-5)!} = 56[/tex]
There were 56 different choices for the five locations to apply the new ointment.
PLEASE ANSWER THIS!!!
Answer:
the answer would be 85% bsjdjdmzmcnd
Answer:
75%
Step-by-step explanation:
Total Questions= 12
Answered Correctly= 9
%=9/12 x 100
%= 0.75 x 100
%= 75%
PLEASE MARK ME AS BRAINLIEST!!!!
Let the graph of g be a horizontal shrink by a factor of 1/2 and a reflection in the x-axis, followed by a translation 1 unit down of the graph of f(x)=x^2 . Write a rule for g .
plz help very urgent
Answer:
Fooddddddddingggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggkygygygyygygygghgghhghghghgjkjkjkjkjkjkkjkjkjkjkjkjkjlllololololololololllololooloololololololololooololololololoolololololololoollololollololololololololoollol0olol0olololo0lo0l0ol00ol10000000000000000l00l00l00l000l0l0l0l0l0l00l0l0l0loolololoolol0olllolol0oooololo00l00l0l0lloololol0lololol0oololol0loloolol000llolo
Step-by-step explanation:
Evaluate −6 − (−4). (10 point)
−10
−2
24
2
Answer: negative 2 (-2)
Step-by-step explanation:-6+4=-2
Answer:
−2
Step-by-step explanation:
−6 − (−4)
= −6 − (−4)
= −6 + 4
= −2
Cuáles son las partes de un término algebraico
Answer:
coeficiente, variables, exponentes, y el signo.
Which statement is NOT true of the equation y = 0.5x?
a. The value of y is one-half times the value of x.
b. The equation represents an additive relationship.
c. The value of y is 4 when the value of x is 8.
d. The equation represents a multiplicative relationship.
Answer:
it would be C do to the fact that 0.5 x 8=4
Question 10 Multiple Choice Worth 4 points)
(02.05 LC)
Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x - 2)?
The graph of y = f(x) will shift left 2 units.
The graph of y = f(x) will shift right 2 units.
The graph of y = f(x) will shift up 2 units.
The graph of y=f(x) will shift down 2 units.
Answer:
Your answer is A
Step-by-step explanation:
The graph of y = f(x) will shift left 2 units.
Decide which method of data collection you would use to collect data for the study. Specify either observational study, experiment, or simulation. A study where a political pollster wishes to determine if his candidate is leading in the polls for an upcoming election. Question options: simulation observational study experiment
Answer:
Observational study
Step-by-step explanation:
Observational studies usually requires the comparing the outcome or behavior of two or more subjects involved. In the scenario described above, the need to perform any experiment or simulation to make prediction. Once the polls is in progress, the outcome or result of the polls in polling centre's only need to be observed and noted.
Answer:
D
Step-by-step explanation:
Edge 2021
Please help me with this. I give brainliest and give ratings. Don't answer just to take my points or you're getting reported
Answer:
3/4
Step-by-step explanation:
You have to Subtract 6 ¼ by 5 ½