Answer:
21 squares
Step-by-step explanation:
Here in this question, we are given a pattern and we want to determine what the values in that pattern will be at a specific step.
We proceed as follows;
What we can see in this pattern is that the difference in number of squares between a pattern and the next pattern increases by the addition of the next integer to the number of squares we have in the last pattern.
Thus for step 5, we shall be adding the next integer( 5) to the number of squares ;
That would be 10 + 5 = 15 squares
For step 6, we shall be adding the next integer (6) to the number of squares in step 5.
That would be 15 + 6 = 21 squares
How we got the initial next integer?
step 1 = 1 square
step 2 = 3 squares ( integer difference of 2)
step 3 = 6 squares ( integer difference of 3)
step 4 = 10 squares ( integer difference of 4)
so;
step 5 = 15 squares ( integer difference of 5)
step 6 = 21 squares( integer difference of 6)
A baker sold apples pies for $10 and blueberry pies for$14. One Saturday they sold a total of 39 pies and collected a total of$458. How many apples pies did they sell and how many blueberry pies did they sell
The total number of apple pies is 22 and the total number of blueberry pies is 17.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that baker sold apples pies for $10 and blueberry pies for$14. One Saturday they sold a total of 39 pies and collected a total of $458.
Asumme the total number of apple pies be 'x' and the total number of blueberry pies be 'y'.
The linear equation that represents the total number of pies is:
x + y = 39
x = 39- y --- (1)
The linear equation that represents the total amount collected is:
10x + 14y = 458--- (2)
Substitute the value of 'x' in equation (2).
10(39- y) + 14y = 458
y = 17
Then Substitute the value of 'y' in the equation (1).
x = 39 - 17
x = 22
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the angle of elevation from the top of the tower from a point 100m away from the ground is fourty five degrees. what is the hieght of the tower in the nearest meter
Answer:
100m
Step-by-step explanation:
x=the height of the tower
100m=the distance from the tower
45 degrees the angle of elevation
Drawing a diagram allows you to see that you can form a 'right-angled triangle'.
Using trig. :
Tan 45=x/100m
multiply both sides by 100m
100m*tan 45=100m
Answer:
[tex]\Huge \boxed{\mathrm{100 \ meters}}[/tex]
Step-by-step explanation:
The base of the right triangle created is 100 meters.
The angle between the base and the hypotenuse of the right triangle is 45 degrees.
We can use trigonometric functions to solve for the height of the tower.
[tex]\displaystyle \mathrm{tan(\theta)=\frac{opposite}{adjacent} }[/tex]
Let the height be x.
[tex]\displaystyle \mathrm{tan(45)}=\frac{x}{100}[/tex]
Multiplying both sides by 100.
[tex]\displaystyle 100 \cdot \mathrm{tan(45)}=x[/tex]
[tex]100=x[/tex]
The height of the tower is 100 meters.
29. A painter leans a ladder against the side of a
house that is 3 feet from the base. If the top
of the ladder reaches 16 feet, how long is the
ladder ?
HELP! answer if you can!
Answer:
16.2788 feet
Step-by-step explanation:
a²+b²=c²
3²+16²=c²
9+256=c²
265=c²
c=√265
c=16.2788 feet
If the ladder is 3 feet from the base of the house and the top is 16 feet from the base then the length of ladder is approximately 16.2788 feet long.
What is pythagoras theorem?Pythagoras theorem says that in a right angled triangle the square of hypotenuse of triangle is equal to the sum of squares of base and perpendicular of that respective triangle.
[tex]H^{2} =P^{2} +B^{2}[/tex] where H is hypotenuse, P is perpendicular, B is base of triangle.
How to find length of ladder?If a painter leans a ladder against a wall then it forms a right angled triangle so in this we will apply pythagoras theorem to find the length of ladder.
let the length of ladder be h so,
[tex]h^{2} =3^{2} +16^{2}[/tex]
[tex]h^{2} =9+256[/tex]
[tex]h^{2} =265[/tex]
h=[tex]\sqrt{265}[/tex]
h=16.2788 feet.
Hence the length of ladder is 16.2788 feet.
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A golf analyst claims that the standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes. State H_0 and H_a in words and in symbols. Then determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. Explain your reasoning. State the null hypothesis in words and in symbols.Choose the correct answer below.A. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is at least 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ≥3.5."B. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ≤3.5."C. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is equal to 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ=3.5."D. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is not 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ≠3.5."
Answer:
The correct option is (C).
Step-by-step explanation:
The claim made by the golf analyst is:
Claim: The standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes.
A standard deviation test is to be performed.
The hypothesis for the test will be defined as follows:
H₀: The standard deviation of the 18-hole scores for a golfer is 3.5 strokes, i.e. σ = 3.5.
Hₐ: The standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes, i.e. σ ≤ 3.5.
Thus, the correct option is (C).
I need help I don’t understand this mathhh!!!
Answer:
$67
Step-by-step explanation:
If Chloe spent $67 and now has no money left, that means she only had $67 before her purchase.
6r-1+6r=11 explain how to get so
Answer:
r = 1
Step-by-step explanation:
6r - 1 + 6r = 11
Adding 6r and 6r (because they're like terms) gives us:
12r - 1 = 11
Adding 1 to both sides of the equation gives us:
12r - 1 + 1 = 11 + 1
12r = 12
Dividing both sides of the equation by 12 gives us:
12r/12 = 12/12
r = 1
sometimes true, always true, or never true?
===========================================
Explanation:
I'll use x in place of n
Let y = x^2 - 4x + 5
If we complete the square, then,
y = x^2 - 4x + 5
y = (x^2 - 4x) + 5
y = (x^2 - 4x + 4 - 4) + 5
y = (x^2 - 4x + 4) - 4 + 5
y = (x-2)^2 + 1
The quantity (x-2)^2 is never negative as squaring any real number value is never a negative result. Adding on 1 makes the result positive. So y > 0 regardless of whatever x is. Replace x with n, and this shows how n^2 - 4n + 5 is always positive for any integer n.
------------
You could also use the quadratic formula to find that x^2 - 4x + 5 = 0 has no real solutions, so there are no x intercepts. Either the graph is entirely above the x axis or it is entirely below the x axis.
Plug in any x value you want, say x = 0, and the result is positive. Meaning that whatever x value you plug in will be positive (as the graph can't cross the x axis to go into negative territory)
The $2200 was 44/73of the total value of the clothes sold in the shop on this day.
Calculate the total value of the clothes sold in the shop on this day.
Answer:
$1326
Step-by-step explanation:
please mark as brainlyest
What is the result of the division?
4,060 ÷ 20 = ?
200 R3
203
230
233 R3
Answer:
it's answer is 203 ......
Given the equation −2x − 13 = 8x + 7, which order of operations completely solves for x? (1 point) Add 2x, then subtract 8x, lastly subtract 7 Add 2x, then add 13, lastly divide by 10 Subtract 8x, then add 13, lastly divide by −10 Subtract 8x, then add 2, lastly add 13
Step-by-step explanation:
We have given an equation −2x − 13 = 8x + 7
We need to find the operations that is used to find the value of x. It can be done by the following ways.
Subtract 8x on both the sides of the equation
−2x − 13 -8x= 8x + 7 -8x
-10x-13 = 7
Add 13 on both the sides of the equation,
-10x-13+13 = 7+13
-10x=21
Divide by -10 on both sides
[tex]x=\dfrac{-20}{10}\\\\x=-2[/tex]
Hence, the correct option is "Subtract 8x, then add 13, lastly divide by −10"
The specifications for the diameter of a molded part are 10 mm ± 0.5 mm. The actual average and standard deviation from 250 parts sampled is 10.1 mm and 0.1 mm, respectively. The process can be characterized as:
Answer: Capable
Step-by-step explanation: The capability of a process could be exaplained as a measure of the ability of a process to produce part within specified limits by making use of statistical measurement. In determining if a certain process is capable or not, the value of process capability (Cp) is measured, in most cases, a process is deemed capable by having a Cp value of 1.33 or higher.
Cp formula :
(Upper specification limit(USL) - Lower specification limit(LSL) ) / 6* standard deviations
Diameter = 10 mm ± 0.5 mm
Standard deviation = 0.1mm
USL = 10 + 0.5 = 10.5
LSL = 10 - 0.5 =. 9.5
Cp = (10.5 - 9.5) / 6*0.1
Cp = 1/0.6
Cp = 1.6666
Cp = 1.67
Hence, the process is capable
A board of directors consists of eight men and four women. A four-member search committee is randomly chosen to recommend a new company president. What is the probability that all four members of the search committee will be women?
Answer:
Total probability = 0.002 or 1 / 495
Step-by-step explanation:
Given:
Number of men = 8
Number of women = 4
Total number of person = 12
Find:
All four members will be women
Computation:
1st women probability = (4/12)
2nd women probability = (3/11)
3rd women probability = (2/10)
4th women probability = (1/9)
Total probability = (4/12)×(3/11)×(2/10)×(1/9)
Total probability = 24 / 11,880
Total probability = 0.002 or 1 / 495
The probability that all four members of the search committee will be women is 1.42%.
Since a board of directors consists of eight men and four women, and a four-member search committee is randomly chosen to recommend a new company president, to determine what is the probability that all four members of the search committee will be women the following calculation should be performed:
4/8 x 3/7 x 2/6 x 1/5 = X 0.5 x 0.42857 x 0.333 x 0.20 = X 0.01428 = X 100X = 1.42
Therefore, the probability that all four members of the search committee will be women is 1.42%.
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If this trapezoid is moved through the
translation (x+3, y-2), what will the
coordinates of Abe?
5
B
С
4
3
D
A
1
2.
1
3
4
-7 6 5 4 3 2 -10
-1
-2
A' = ([?], [ 1)
Hi! I'm happy to help!
We can see that A's coordinates currently are -6 for x and 2 for y.
When we move x+3, it moves the x coordinate to the right 3 units. This changes it from -6 to -3. When we move y -2, we move the y coordinate down 2 units. This changes it from 2, to 0.
To sum it up: The final coordinates of A will be -3 for x and 0 for y, also written as (-3,0).
I hope this was helpful, keep learning! :D
If 400 g of chocolate sells for $12,
"how much is the cost per kilogram?
the cost of the chocolate of 1 kg will be 30$
Kandace spent 3/4 an hour putting on her makeup. how many seconds did she spend in front of the mirro?
Answer:
Kandace spent 2700 seconds in front of the mirror
Step-by-step explanation:
3/4 × 60 = 45
She spent 45 minutes on her makeup
If 60 seconds are in a minute,to find how many seconds are in 45 minutes we simply multiply 45 by 60
= 2700
I need help with this please :(
Answer:
4¹⁸
Step-by-step explanation:
(4⁻³)⁻⁶
= 4⁽⁻³⁾⁽⁻⁶⁾
= 4¹⁸
Answer:
[tex]\large \boxed{4^{18}}[/tex]
Step-by-step explanation:
When a base with an exponent has an whole exponent outside the parenthesis, we multiply the exponents.
[tex](4^{-3})^{-6}[/tex]
[tex]4^{-3 \times -6}[/tex]
[tex]4^{18}[/tex]
What is negative sqrt 64?
Answer:
8i. In real numbers only, this isnt possible, but if immagenary numbers are allowed then 8i is your answer
This is a very hard math question. Whoever answers correctly will get a brainlist too! Find the value of b. Then find the angle measures of the pentagon.
Answer:
Below
Step-by-step explanation:
The sum of the 5 angles is 540°
● b+(b+45)+90+(2b-90)+(3/2)b = 540
3/2 is 1.5
● b+b+45+90+2b-90+1.5b = 540
● 2b +45+2b+1.5b = 540
● 5.5 b +45 = 540
● 5.5b = 495
● b = 495/5.5
● b = 90°
Answer:
b = 90
Step-by-step explanation:
b + (b + 45) + 90 + (2b - 90) + (3/2)b = 540
b + b + 45 + 90 + 2b - 90 + (3/2)b - 90 = 540 - 90
b + b + 45 + 2b - 90 + (3/2)b = 450
2b + 2b + (45 * 2) + (2 *2b) - (90 * 2) + (2 * (3/2)b) = 450 * 2
2b + 2b + 90 + 4b - 180 + 3b = 900
11b - 90 = 900
11b - 90 + 90 = 900 + 90
11b = 990
b = 990 / 11
b = 90
check:
b + (b + 45) + 90 + (2b - 90) + (3/2)b = 540
90 + (90 + 45) + 90 + (2*90 - 90) + (3/2)*90 = 540
90 + 135 + 90 + 90 + 135 = 540
540 = 540 --- OK
An octagonal pyramid ... how many faces does it have, how many vertices and how many edges? A triangular prism ... how many faces does it have, how many vertices and how many edges? a triangular pyramid ... how many faces does it have, how many vertices and how many edges?
1: 8 faces and 9 with the base 9 vertices and 16 edges
2: 3 faces and 5 with the bases 6 vertices and 9 edges
3: 3 faces and 4 with the base 4 vertices and 6 edges
Hope this can help you.
Answer:
octagonal: 8 faces, 16 edges, 9 verticestriangular pyramid: 3 faces, 6 edges, 4 verticestriangular prism: 3 faces, 9 edges, 6 verticesStep-by-step explanation:
A pyramid has twice as many edges as faces, and 1 more vertex than faces.
Octa- means 8.
Tri- means 3.
a) An octagonal pyramid has 8 faces, 16 edges, and 9 vertices.
b) A triangular pyramid has 3 faces, 6 edges, and 4 vertices.
__
A triangular prism will have 3 additional edges for the second "base", and 2 additional vertices.
c) A triangular prism has 3 faces, 9 edges, and 6 vertices.
__
Additional comments
We have not counted the base as a "face." We have only counted those that meet at the point of the pyramid.
There are as many vertices on the base as there are faces, and there is one more vertex where all the faces meet.
There is one edge at the base for each face, and there is one edge from the base vertex to the point of the pyramid for each face--a total of two edges per face.
__
A triangular pyramid is shown in the attachment.
Reduce 5/15 to its lowest terms
Answer:
The answer is 1/3
Answer:
1/3
Step-by-step explanation:
The factors of 5 are 1,5;
* The factors of 15 are 1,3,5,15.
We can see that the GCD is 5 because it is the largest number by which 5 y 15 can be divided without leaving any residue.
To reduce this fraction, simply divide the numerator and denominator by 5 (the GCF).
So, 5 /15
= 5÷5 /15÷5
= 1 /3
Match the graph with the correct equation. Please help!
Answer:
y = -x -2
Step-by-step explanation:
The graph has a slope of -1 and a y-intercept of -2.
The equation is therefore
y = -x -2
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
A vegetable tray contains 10 red peppers and 4 green peppers. What is the ratio of the number of green peppers to the number of yellow peppers?
A. 4:0
B. 2:5
C. 2:7
D. 4:10
Answer:
4 : 0
Step-by-step explanation:
10 red and 4 green
There are 0 yellow peppers
green: yellow
4 : 0
help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help ill give brainly ;)))
Answer:
A: 2:30
B: 13:15.
C: 4:05 A.M
D: 3:25 P.M
Step-by-step explanation:
Answer:
a) 0230 hours
b) 1315 hours
c) 4:05 am
d) 3:25 pm
Step-by-step explanation:
To change a 12 hour clock to a 24 hour clock, note that when it hits p.m., anything over 12 p.m. will have the number added to it.
a) 2:30 am
2:30 am is earlier than 12 pm, therefore, 0230 is your answer. Remember, you must place the 0 in the front to not confuse a user that the 2 is in the tens place value.* *Essentially, use military time:
b) 1:15 pm
1:15 pm is later than 12 pm, therefore, add 12 to the 1 in the hours. Use military time:
0115 + 1200 = 1315
1315 hours is your answer.
To change a 24 hour clock to a 12 hour clock, note the time frame in which the time is given. if over 1200, then subtract by 12, and add the p.m.
0405 = 4:05 am.
1525 = 12 pm + 3:25 = 3:25 pm.
~
Instructions: Find the missing side. Round your answer to the nearest tenth.
х
28°
25
Ans : 22
if my ans wrong im srry
Answer:
25 +28+x=180
53+x=180
x=180_53
x=127
m + 3n =7 help me solve m
Answer:
m = 7 - 3n
Step-by-step explanation:
subtract 3n from both sides of the equation
How is 1.35 x 10-5 written in standard notation?
A.
135.000
C.
0.00000135
Answer:
C.
Brainliest, please!
Step-by-step explanation:
A negative exponent means that the number is really small, which is true in this case.
Answer:
0.00000135
Step-by-step explanation:
1.35 x 10-5 means,
1.35/100000
=>0.00000135
Difference of the square of (x+6)(x+4)
Answer:
x^2 + 10x + 24
Step-by-step explanation:
(x+6)(x+4)
x^2 + 4x + 6x + 24
x^2 + 10x + 24
convert degree into Radian that is 18 degree 12'
Answer:
[tex]\frac{\pi }{10}[/tex] radians
Step-by-step explanation:
To convert degrees into radians, multiply the degrees with [tex]\frac{\pi}{180}[/tex].
If you have 18 degrees:
[tex]18*\frac{\pi}{180} = \frac{\pi }{10}[/tex]
Please help me solve this!
Answer:
Step-by-step explanation:
Reference angle = 27
height = 2
Sin(27) = opposite / hypotenuse
hypotenuse = opposite / sin(27)
opposite = 2
hypotenuse = 2 / sin(27)
hypotenuse = 4.405
The ramp has to be 4.41 feet long.
What is the prime factorization of 270?
Answer:
[tex]\boxed{3^3 * 2 * 5}[/tex]
Step-by-step explanation:
Look at the image below ↓
Answer:
16 factors of 270
Step-by-step explanation:
1*270
2*135
3*90
5*54
6*45
9*30
10*27
15*18