[tex]~~x^2+10x+25 = 27\\\\\implies x^2+2\cdot 5 x +5^2 = 27\\\\\implies (x+5)^2 = 27\\\\\implies x +5 = \pm\sqrt{27}\\\\\implies x = -5 \pm\sqrt{3\times 9}\\\\\implies x = -5 \pm3\sqrt 3\\\\\text{Hence,}~~ x = -5 + 3 \sqrt 3 ,~~~ x =-5-3\sqrt3[/tex]
whats reciprocal of 4 1/4
Answer:
4 4/1
Step-by-step explanation:
we know that reciprocal mans backwards. This doesn't apply to the whole number un math. only the denominational and numerator.
Answer:
4×4=16
16+1=17
=4/17
step-by-step explanation:
since that is a mixed fraction, you first change it into an improper fraction......by multiplying the denominator and the whole number then add the numerator. You will get 17 as your numerator.......then make it your denominator and 4 your numerator
the ratio of boys to girls in mrs.cunnginghams class is 2 to 3. there are 18 girls in the class. what is the total number of students in mrs.cunninhams class
Answer:
The total number of students that are in Ms. Cunningham's class is 30 students
Step-by-step explanation:
the number of boys are represented by X
18 divided by 3 is 6
2 times 6 is 12.
12 plus 18 is 30.
Total number of students = 12 + 18 = 30
If the sum of the circumference and the diameter of a circle is 145 cm, what is the length of its circumference
Answer:
110 cm
Step-by-step explanation:
Hope it will help you.
HELP FAST!! The scores on a test are normally distributed with a mean of 130 and a standard deviation of 26. Find the score that is one and one-half standard deviations below the mean.
Answer:
91
Step-by-step explanation:
130 - 1 1/2 ( 26) = 91
567.3
What is the value of the digit 5 in this number?
Answer:
hundredth place
Step-by-step explanation:
because ummmm yeah
HELP I NEED IT
NO LINKS!!
Answer:
option c
Step-by-step explanation:
Area of triangle:
a = 2 and c = 3
base = 6ac²
= 6 *2 * 3 * 3
= 108 cm
height = base + 3
= 108 + 3
= 111 cm
[tex]\boxed{\text{Area of a triangle = $ \dfrac{1}{2}*base*height$}}[/tex]
[tex]=\dfrac{1}{2}*108*111\\\\\\= 54*111\\\\=5994 \ cm^{2}[/tex]
Answer:
5,994 cm²
Step-by-step explanation:
Formula
Area of the triangle = 1/2 x base length x heightGiven
Base length = 6ac² cmHeight = 6ac² + 3 cma = 2c = 3Solving
Area = 1/2 x 6ac² x (6ac² + 3)Area = 1/2 x 36a²c⁴ + 18ac²Area = 9ac² (2ac² + 1)Substitute the values of a and c⇒ Area = 9 x 2 x 3² (2 x 2 x 3² + 1)⇒ Area = 162 (36 + 1)⇒ Area = 162 x 37⇒ Area = 5,994 cm²Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answer:
6.2
Step-by-step explanation:
I don't think you need my explanation anymore.
Solve for x to the nearest tenth.
Answer: 6.9
Step-by-step explanation:
Solve for the hypotenuse in the smaller triangle 5.83
Solve for x²= 9² - 5.83² = 81 - 33.99
X² = 47.01
Suppose that a travel bureau claims that the trees in a forest are 84 ft tall on average with a standard deviation of 2 feet. If you took a sample of 64 trees, which of the following mean heights would be outside the 95% confidence interval?
A. 84.6 ft
B. 84.2 ft
C. 84.4 ft
D. 83.6 ft
The value of the mean height for the given data will be 84.6 ft. Option A is correct.
What is the standard deviation?It is a measurement of statistical data dispersion. The degree to which the value varies is known as dispersion.
Given data;
Mean,[tex]\rm\bar x = 84[/tex]
Standard deviation,[tex]\sigma= 2[/tex]
No of sample,n=64
The mean height is foundd as;
[tex]\rightarrow \bar x \pm \frac{\sigma}{\sqrt n} \times Z \\\\ \rightarrow \84 \pm\frac{2}{8} \times 1.96 \\\\ \rightarrow 83.51,84.49[/tex]
84.6>84.49
The value of the mean height for the given data will be 84.6 ft.
Hence option A is correct.
To learn more about the standard deviation, refer to: https://brainly.com/question/16555520.
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9.
The cost of mailing a letter went up 1133% over the fifty-year period 1938-1988. If it cost
43¢ to mail a letter to a Canadian address in 1988, what (to the nearest penny) did it
cost in 1938?
The cost of mailing a letter in 1938 was 530 cents while it cost 43 cent in 1988
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The cost of mailing a letter went up 1133% over the fifty-year period 1938-1988. If it cost 43¢ to mail a letter to a Canadian address in 1988
Let x represent the cost of mailing the letter in 1938, hence:
x = 43 + 1133% of 43 = 43 + 487.19 = 530 cent
The cost of mailing a letter in 1938 was 530 cents while it cost 43 cent in 1988
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A) not periodic
B) periodic with a period of 6 and an amplitude of about 12.5
C) periodic with a period of 6 and an amplitude of about 25
D) periodic with a period of 12 and an amplitude of about 12.5
Explanation:
Plot all of the data points on the same xy grid as shown below.
I used GeoGebra to make the diagram.
The points seem to be randomly scattered about without any apparent pattern (though there might be some symmetry going on). The data does not seem to be periodic.
Periodic data repeats itself at some point in time, for example like a waveform pattern, which unfortunately these data points don't reflect.
Could someone help me please.
Answer:
D
Step-by-step explanation:
The expression is equal to 1/300
D is the only other one equal to 1/300
Help!!!
I need help
Answer:
x = 109°
Step-by-step explanation:
x = 64+45 = 109°
it looks simple, but that's the answer
The product of two integers is 72.
If one integer is 9 what is the other integer?
Answer:
8
Step-by-step explanation:
a*b=72
a=9
9*b=72
b=72/9
b=8
Find the volume of a cone with a height of 6yd and a base radius of 4yd.
Use the value 3.14 for [tex]\pi[/tex] , and do not do any rounding.
Be sure to include the correct unit in your answer.
Formula : V = πr²h/3
Fill in the values.
(3.14)(4)^(2)(6/3)
V=100.48 yd^3
5) Dane makes a budget for her birthday, she plans to
spend 3/36 Cthree misty-sixths) of her budget on a
cake that costs $24.00. How many much is her total
budget for the birthday.
Answer:
Step-by-step explanation:
She plans to spend 3/36 of her budget on a cake ($24.00).
Because $24.00 is 3/36 of the total budget, you divide 24 by 3/36.
[tex]\frac{24}{1}[/tex] ÷ [tex]\frac{3}{36}[/tex]
Then, multiply the reciprocal of 3/36, which is 36/3.
= [tex]\frac{24}{1}[/tex] × [tex]\frac{36}{3}[/tex]
= [tex]\frac{864}{3}[/tex] = 288
So, Dane's total budget for the birthday is $288.
Hope this helped !
What were the overall returns during the bull market from 1970 to 1973?
The Answer: Gain — Previous bull markets gained between 74% (1970–1973) and 582% (1987–2000), with an average gain of 185% and a median gain of 132%.
Hope this was helpful to you
A total of 640 people voted in an election. The circle graph shows the results.
A.) How many people voted for Gordon? Show your work
B.) How many people voted for Smith or Fishman? Show your work
Transform the solid black function to match the dotted function.
y= Voc
I f(x+
fx- +
O
+
o
у
LO
9
00
8
N
6
5
4
3
2
1
1
-18 9 8
-6 54
-3
2
1
N
-1
-
3
4
in
X
5
7
8
9 to
N
3
3
4
5
in
-6
-8
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9
-10
Transforming the solid line to the dotted line would change the equation of the functions
The equation of the dotted line is: [tex]f(x) = -\sqrt{x - 6} + 3[/tex]
How to transform the function?The equation of the solid line is given as:
y = √x
The solid line undergoes the following transformation to match the dotted line
Reflection across the x-axisTranslate 6 units rightTranslate 3 units upThe rule of the above sequence of transformations is:
(x,y) -> (x - 6, -y + 3)
Using the above transformation rule, the equation of the dotted line is:
[tex]f(x) = -\sqrt{x - 6} + 3[/tex]
Read more about function transformation at:
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Helppp plssssss!!!!!!
Joanna draws a scale model of a rectangular table for a carpenter to build. On her drawing, \frac{3}{4} 4
3
of an inch represents 11 foot. In the drawing, the table is 7\frac{1}{2}7 2
1
long. How long, in feet, will the table be when the carpenter builds it?
The length of the rectangular table the carpenter builds given the scale is 110 feet
What is the length of the drawing?A scale drawing is a smaller version of a larger image. The scale drawing is usually reduced at a constant dimension
Length of the table = (11 x 7 1/2) ÷ 3/4
(11 x 15/2) x 4/3 = 660/6 = 110 feet
To learn more about scale drawings, please check: https://brainly.com/question/26388230
can i pleas have help with this
Answer:
133m²
Step-by-step explanation:
Super easy!
A = BxH
= 9.5x14
= 133
So hence, your answer is 133.
The area of this rhombus is 133m²
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What is 0.08÷3.16? as a decimal.
Answer:
It's 0.03 rounded to the nearest hundredth.
Step-by-step explanation:
The whole answer is 0.0253164557.
1
unit.
A rectangular prism with a volume of 6 cubic units is filled with cubes with side lengths of
2
1
How many
unit cubes does it take to fill the prism?
2
NI
Answer:
48
Step-by-step explanation:
If the side length is 1/2, cube it to find the volume of the cube. Then divide 6 by 1/8. Remember that if you are dividing a fraction, you multiply by the reciprocal, in this case 8. 6 times 8 is 48.
A plant has a height of 8 1/4 inches what is the height of the plant after it grows 1 7/8 inches?
Answer:
18
Step-by-step explanation:
Kira and Bill are collecting clothes for a clothing drive. Bill collected 3/5 as many clothes as Kira did. If Kira collected 1/3 of a bag of clothes, how many bags of clothes did Bill collect?
Answer:
1/5
Step-by-step explanation:
because 3/5*1/3=1/5
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers:
Class C has the least variabilityClass B has the highest scores on average========================================================
Explanation:
The variability can be measured using the range. It's to measure how spread out the data set is. The smaller the range, the less the variability. The smallest of which is found in class C.The average can be measured by the arithmetic mean. We go for the largest mean, which in this case is class B.Answer:
Class C has least variability and Class B has highest variability.
I think it will help you
Range= Large- Small Data
Which two sets of events are most likely independent?
O A. Event A: A student makes the drama team.
Event B. The student likes macaroni and cheese.
B. Event A: A student gets enough sleep.
Event B. The student is alert in class.
C. Event A: A car is blue.
Event B. The car lasts over 20 years.
D. Event A: A woman buys cat toys.
Event B: The woman has a cat.
Answer:
A - Event A: A student makes the drama team. / Event B. The student likes macaroni and cheese.C - Event A: A car is blue. / Event B. The car lasts over 20 years.y = 2x -1, y = 3x + 5 solve
Answer:
the answer is x= -6 and y= -13
Express the first 10 terms of a sequence 2,5,8,11 in sigma notation
