Answer:
The length of the rectangular box is 30 centimeters.
Step-by-step explanation:
Let suppose that rectangular box is closed. The rectangular box is represented by a parallelepiped, whose surface area ([tex]A_{s}[/tex]), measured in square centimeters, is defined by the following formula:
[tex]A_{s} = 2\cdot (w\cdot h + w\cdot l + h\cdot l)[/tex] (1)
Where:
[tex]w[/tex] - Width, measured in centimeters.
[tex]h[/tex] - Height, measured in centimeters.
[tex]l[/tex] - Length, measured in centimeters.
If we know that [tex]A_{s} = 7440\,cm^{2}[/tex], [tex]w = 40\,cm[/tex] and [tex]h = 36\,cm[/tex], then the length of the rectangular box is:
[tex]2880 +80\cdot l + 72\cdot l = 7440[/tex]
[tex]152\cdot l = 4560[/tex]
[tex]l = 30\,cm[/tex]
The length of the rectangular box is 30 centimeters.
Let f(x) = 8x - 7.
What is (4)?
A.39
B.25
C.32
D.36
A. A
Which list is in order from least
greatest? 3/8 2/5 3/4 2/3
Answer:
Answer:
Order from Least to Greatest
3/8 < 2/5 < 2/3 < 3/4
Step-by-step explanation:
A publisher reports that 54% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 220 found that 50% of the readers owned a particular make of car. Determine the P-value of the test statistic. Round your answer to four decimal places.
Answer and explanation:
Null hypothesis: p is not 54%
Alternative hypothesis : p is equal 54%
First find standard deviation
Standard deviation is:
σ = √[ P ( 1 - P ) / n ] = √[ 0.54×0.46/220 ] =0.033
The z score is calculated p-P/σ = (0.54-0.50)/0.033 = 1.2121
Therefore we can conclude that proportions are not same and fail to reject the null hypothesis
What is the equation in slope-intercept form for the line that passes through the points (–1, 3) and (–2, –3)?
Answer:
The answer is y = 6x + 9.
-
Step-by-step explanation:
☆Remember: [tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
☆Slope-intercept: [tex]y = mx + b[/tex]
---
☆We need to find the slope first. So just plug in according to the slope formula!
[tex]m = \frac{ - 3 - 3}{ - 2 - ( - 1)} = \frac{ - 6}{ - 1} = 6[/tex]
---
☆Now we need to find the y-intercept. We are going to plug in the slope and a set of coordinates to find the y-intercept.
[tex]y = mx + b \\ 3 = 6( -1 ) + b \\ 3 = - 6 + b \\ \frac{ + 6 = + 6 \: \: \: \: \: \: \: \: \: \: }{9 = b \: \: \: \: \: \: \: \: \: \: \: } [/tex]
---
☆Now all we need to do is plug in and we are done!
[tex]y = 6x + 9[/tex]
▪Happy To Help <3
Find the nth term for the following question: -5,-2,3,10,19
Answer:
[tex]T_n = 2n - 1 + T_{n-1}[/tex]
Step-by-step explanation:
Given
[tex]Sequence: -5,-2,3,10,19[/tex]
Required
Find the nth term
We have:
[tex]T_1 = -5[/tex]
[tex]T_2 = -2 = 3 - 5 = 3 + T_1[/tex]
[tex]T_3 = 3 = 5 - 2 = 5 + T_2[/tex]
[tex]T_4 = 10 = 7 + 3 = 7 +T_3[/tex]
[tex]T_5 = 19 = 9 + 10 = 9 + T_4[/tex]
This gives:
[tex]T_2 = 3 + T_1 = 4 - 1 + T_1[/tex]
[tex]T_3 = 5 + T_2 = 6 - 1 + T_2[/tex]
[tex]T_4 = 7 +T_3 = 8 - 1 + T_3[/tex]
[tex]T_5 = 9 + T_4 = 10 - 1 + T_4[/tex]
---
Solving further, we have:
[tex]T_2 = 4 - 1 + T_1 = 2 * 2 - 1 + T_1[/tex]
[tex]T_3 = 6 - 1 + T_2 = 2 * 3 + T_2[/tex]
[tex]T_4 = 8 - 1 + T_3 = 2 * 4 - 1 + T_3[/tex]
[tex]T_5 = 10 - 1 + T_4 = 2 * 5 - 1 + T_4[/tex]
Following the above sequence: the nth term is:
[tex]T_n = 2n - 1 + T_{n-1}[/tex]
Use the empirical rule. the mean speed of a sample of vehicles along a stretch of highway is 66 miles per hour, with a standard deviation of 4 miles per hour. estimate the percent of vehicles whose speeds are between 62 miles per hour and 70 miles per hour. (assume the data set has a bell-shaped distribution.)
Answer: 99.7
Answer:
The percentage of that vehicles whose speeds are between 62 miles per hour and 70 miles per hour
P(62≤X≤70) = 68.76
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 66miles per hour
Given that the standard deviation of the Population = 4 miles per hour
Let 'X' be the random variable in normal distribution
Let x= 62
[tex]Z = \frac{x^{-}-mean }{S.D} = \frac{62-66}{4} =-1[/tex]
let x=70
[tex]Z = \frac{70-66 }{4} = \frac{70-66}{4} =1[/tex]
Step(ii):-
The probability that vehicles whose speeds are between 62 miles per hour and 70 miles per hour
P(62≤X≤70) = P(-1≤Z≤1)
= P(z≤1) -P(Z≤-1)
= P(Z≤1)+P(Z≤1)
= 2×P(Z≤1)
= 2×0.3438
= 0.6876
The percentage of that vehicles whose speeds are between 62 miles per hour and 70 miles per hour
P(62≤X≤70) = 68.76
PLEASE HELP
Consider the expressions (3m+2n−6) and (−4−6m+7n).
Part A
What is the sum of the expressions for n=−2 and m=5?
The sum is
Answer:
5, -20
Step-by-step explanation:
Given the equation (3m+2n−6) and (−4−6m+7n).
Also, given that we're told that
n = -2 and
m = 5, if we take a rather direct approach by substituting like for like, we have
(3m+2n−6) = (3 * 5 + 2 * -2 - 6)
(3m+2n−6) = 15 - 4 - 6
(3m+2n−6) = 15 - 10
(3m+2n−6) = 5
(−4−6m+7n) = (-4 - 6 * 5 + 7 * 2)
(−4−6m+7n) = -4 - 30 + 14
(−4−6m+7n) = -34 + 14
(−4−6m+7n) = -20
Therefore, we proceed to conclude that the answers are 5 and -20 respectively
3х + 4 = 9x - 8
What is the value of X to make the equation true?
Answer:
x=2
Step-by-step explanation:
Which expression is a trinomial?
x + y – 13
4xyz
Answer:
x+y-13
Step-by-step explanation:
A polynomial with three terms is called a trinomial.
rate brainliest if very helpful
What expression is not equivalent to 8 + (n - 4)?
A. (8 + n) - 4
B. n + 4
C. 12 + n
D. (8 - 4) + n
Henry buys a yacht for 150 000 euros, the yacht depreciates in value by 18% each year. Work out the value of the yacht at the end of 3 years.
Answer:
369000
Step-by-step explanation:
i think its right you have to take 150,000 and subtract 18% from it and then take the new number you get and multiply that by 3
16, -6.4, 2.56, ..., 6th term
The 6th term of the sequence is
Answer:
the 6th term is = -0.16384
Step-by-step explanation:
Notice this is a geometric sequence with first term 16, and common ratio (-0.4)
Therefore the first 6 terms of the sequence are:
a1 = 16
a2 = 16 * (-0.4) = -6.4
a3 = -6.4 * (-0.4) = 2.56
a4 = 2.56 * (-0.4) = -1.024
a5 = -1.024 * (-0,4) = 0.4096
a6 = 0.4096 * (-0.4) = -0.16384
The the 6th term is = -0.16384
Look at the picture
9514 1404 393
Answer:
A
Step-by-step explanation:
When angles are between the parallel lines, they are called interior. If they are both on the same side of the transversal, they are "same-side interior."
If angles are on opposite sides of the transversal, they are exterior.
If angles are in the same direction from the intersection point, they are corresponding.
Angles in opposite directions from the point of intersection are vertical angles.
same-side interior: {3, 5} and {4, 6}. (supplementary)
same-side exterior: {1, 7} and {2, 8}. (supplementary)
alternate interior: {3, 6} and {4, 5}. (congruent)
alternate exterior: {1, 8} and {2, 7}. (congruent)
corresponding: {1, 5}, {2, 6}, {3, 7}, {4, 8}. (congruent)
vertical: {1, 4}, {2, 3}, {5, 8}, {6, 7}. (congruent)
Angles 6 and 4 are same-side interior angles; their sum is 180°.
A machine can make 165 granola bars in 3 minutes. At this rate, how many granola bars can the machine make in 7 minutes?
C. Assessment
1. Directions: Analyze each problem and write the letter of the correct answer.
1.Five girls went swimming and collected shells at the beach. They collected 28 red shells and 35 pink shells. What was the greatest number of shells per hour if they collected the same number of shells per hour?
A. 5
B. 4
C. 7
D. 2
2. Teacher Marlyn and Teacher Ledgen are planning a field trip for their classes. There are 30 boys and 42 girls in all. The pupils are grouped into Team of Boys and Girls. What is the largest number of pupils in a group having the same number of pupils ?
A. 6
B.5
C. 7
D. 10
3. Ronie bakes 16 biscuits and 24 salvaro. He packs these in boxes. What is the biggest number of biscuits and salvaro he can pack in a box?
A. 2
B.4
C. 3
D.8
HELPPPPP GUYS I NEED IT AND IM NOT GOOD AT MATH!!
Answer:
-21
Step-by-step explanation:
Answer:
Option b-21
As coefficient is the number before variables
and here the number before is -21
ANSWER ASAP:
Rupesh is mowing grass to save money for a vacation. He charges $12 20
per yard. Rupesh already has $40 saved to use on the vacation. Which
inequality can be used to determine how many yards Rupesh needs to
mow in order to have at least $148 to use on vacation?
Answer:
Step-by-step explanation:
12y + 40 ≥ 148
12y ≥ 108
y ≥ 9
Rupesh must mow at least 9 more yards to have
the $148 he needs.
Find the value of the power.
7^4 =
Answer:
Answer:
2401
Step-by-step explanation:
7*7*7*7=2401
Answer:
28
Step-by-step explanation:
Will give brainliest
Answer:
.c
Step-by-step explanation:
HELP PLEASE HELP PLEASE
Answer:
a: about 800? nonfiction books in valley
b: valley and central has more fiction than nonfiction books
c: there's probably about 2600 books in hillside
Step-by-step explanation:
5 x 4 2/3
GOOD Explain for brainly
Answer:
23.3
Step-by-step explanation: 5x4 = 20 and 5x 2/3 = 3.3 i hoped i helped
Answer:
Decimal::::::: 23.3333333333
Fraction :)__---------- 23.3333333/10000000000
Step-by-step explanation:
As we have 1 digit after the decimal point, we multiply both numerator and denominator by 10, or, simply shift 1 decimal place to the right. So, 23.3/100 = (23.3 x 10)/(100 x 10) = 233/1000. (This fraction is alread reduced, We can't reduce it any further).
Write the rational number as a decimal. 7 over 40
Answer:
0.175 is a decimal and 17.5/100 or 17.5% is the percentage for 7/40.
Answer: 0.175
Step-by-step explanation:
Evaluate the following expression. (14)3
Answer:
(14)3 is just 14 x 3. The answer is 42
Simplify the expression by combining like terms.
16 - 2v + 3
a
2v + 19
b
-2v + 13
c
2v + 13
d
-2v + 19
Answer:
d
Step-by-step explanation:
16 - 2v + 3
-2v + 3 + 16
-2v + 19
Answer d
Answer:
D) -2v + 19
Step-by-step explanation:
Combined like terms:
16 - 2v + 3
1. Add 16 and the +3 to combine these terms
-2v + (16 + 3) = -2v + 19
The Picture has the answers and the question.
Answer:
B
Step-by-step explanation:
side length z =
angle d =
6. Devon has a stamp collection. He has 62 pages of stamps. There is an average of 30 stamps per page. About how many stamps does Devon have in his collection?
Answer:
62 x 30 is 1860
Step-by-step explanation:
Two angle of a tranigle measure 55 and 20 what is the measure of the third angle
Answer:
105 degrees
Step-by-step explanation:
Recall that the sum of angles in a triangle is 180 degrees. As such, where a, b and c are the angles of a triangle then
a + b + c = 180 ( all in degrees)
Given that two angles of a triangle measure 55 and 20, let the size of gthe 3rd be T then
55 + 20 + T = 180
simplify
75 + T = 180
Subtract 75 from both sides
T = 180 - 75
T = 105
The area of a rectangle is 2- 3/4 inch. ^2 If the length of the rectangle is 1/2 inch, what is the measurement of the width?
Answer:
The width of the rectangle = 1.15 inches
Step-by-step explanation:
Explanation:-
Given that the length of the rectangle = [tex]\frac{1}{2} inch[/tex]
The area of the rectangle = [tex]\frac{2.3}{4}[/tex] inch²
We have to find the width of the rectangle
The area of the rectangle = length × width
[tex]\frac{2.3}{4} = \frac{1}{2} X width[/tex]
⇒ 2 × 2.3 = 4× width
⇒ 4.6 = 4 w
⇒ w = 1.15 inches
Final answer:-
The width of the rectangle = 1.15 inches
two adjacent angles of a parallelogram are in the ratio 5:2: . find all the angles of the parallelogram
Let, the first angles be 5x
And, the second angles will be 2x
As we know that,
★ Sum of all angles = 180° ★
According to the question by using the formula we get,
⇒ 5x+2x=180°⇒7x=180°⇒ [tex]\sf x =\: \dfrac{\cancel{180^{\circ}}}{\cancel{7}}[/tex]➠ [tex]\sf\bold{\red{x =\: 25.7^{\circ}}}[/tex]Hence, the required angles are,
First angles = 5x = 5(25.7°) = 128.5°Second angles = 2(25.7°) = 51.4°As we know that,
opposite angles in a parallelogram
is equal.
∴ The all angles of a parallelogram is 128.5°,51.4°, 128.5° and 51.4°.