Answer:
The possible values of the perimeter of the rectangle is between 18 and
18.4 cm ⇒ [18 < perimeter of rectangle < 18.4] cm
Step-by-step explanation:
* Lets explain how to solve the problem
- The perimeter of any quadrilateral is the sum of the length of its
four sides
- The rectangle is a quadrilateral with each two opposite sides are
equal in lengths, then its perimeter = 2l + 2w, where l, w are its
length and width
∵ The the length of the rectangle is a
∵ 5.4 < a < 5.5 cm
∵ The perimeter of the rectangle = 2a + 2b
- Lets multiply the inequality by 2
∴ 5.4 × 2 < a × 2 < 5.5 × 2
∴ 10.8 < 2a < 11 ⇒ (1)
∵ The width of the rectangle is b
∵ 3.6 < b < 3.7 cm
- Lets multiply the inequality by 2
∴ 3.6 × 2 < b × 2 < 3.7 × 2
∴ 7.2 < 2b < 7.4 ⇒ (2)
- Add inequalities (1) and (2)
∵ 10.8 < 2a < 11
+ 7.2 < 2b < 7.4
∴ 18 < 2a + 2b < 18.4
∵ 2a + 2b represents the perimeter of the rectangle
∴ The possible values of the perimeter of the rectangle is between
18 and 18.4 cm ⇒ [18 < perimeter of rectangle < 18.4] cm
An airplane descended 4,000 feet before landing. The integer that represents how many feet the airplane was above the ground before it’s descent is ?
Answer:
Since, an airplane descended 4,000 feet before landing.
Now, we have to determine the integer which represents the number of feet, the airplane was above the ground before its descent.
Before the descent, airplane was at the height of 4,000 feet.
And the distance above the ground is represented by the positive integers and distance below the ground is represented by the negative integers.
Since, 4,000 feet is the distance of airplane above the ground.
So, the airplane was +4,000 feet above the ground before its descent.
Determine which statement is true about the zeros of the function graphed below.
A.
Function f has one real solution and one complex solution.
B.
Function f has exactly two complex solutions.
C.
Function f has exactly one real solution and no complex solutions.
D.
Function f has exactly two real solutions.
Answer:
The correct answer is B.
Step-by-step explanation:
In this graph we can see a "Parabola", this is the curve for a second degree polynomial function, and based on "Fundamental theorem of algebra" we can know that this polynomial has 2 roots (they can be real or imaginary).
In this graph, the curve doesn't touch the X axis, so we know that this function has not real root. So both roots are complex
Plsss help im stuck!!
Answer:
33.25
Step-by-step explanation:
Answer: 36.5
Step-by-step explanation:
A line passes through (-1, 7) and (2, 10).
Which answer is the equation of the line?
a. -x+y=12
b. -3x+y=4
c. -3x + y = 16
d. -x+y=8
Answer:
d. -x + y = 8
Step-by-step explanation:
First find the rate of change [slope]:
-y₁ + y₂\-x₁ + x₂ = m
[tex]\frac{-7 + 10}{1 + 2} = \frac{3}{3} = 1[/tex]
Then, we can go ahead and use the Slope-Intercept Formula instead of the Point-Slope Formula because you get it done swifter. It does not matter which ordered pair you choose:
10 = 1[2] + b
2
8 = b
y = x + 8 >> Line in Slope-Intercept Form
Since the exercise wants the equation in Standard Form:
y = x + 8
-x -x
________
-x + y = 8 >> Line in Standard Form
__________________________________________________________
7 = 1[-1] + b
-1
8 = b
y = x + 8 >> Line in Slope-Intercept Form
y = x + 8
-x -x
________
-x + y = 8 >> Line in Standard Form
** You see? I told you it did not matter which ordered pair you chose because you will always get the exact same result, plus the fact that I told you it was alot swifter than the Point-Slope Formula.
* Tip: Use the Point-Slope Formula when it tells you to, otherwise keep using the Slope-Intercept Formula. That way, you get your work done in a jip!
I am joyous to assist you anytime.
3. A telephone company offers its customers a discount of $15 for even
month that they also sign up for Internet service. How much is the
annual discount? (Hint: There are 12 months in the year, and they give
a $15 discount per month)
The telephone company offers a $15 monthly discount for customers who also sign up for their internet service. The annual discount is calculated by multiplying the monthly discount by the number of months in a year, resulting in an annual discount of $180.
Explanation:The telephone company offers a discount of $15 every month for customers that also enroll in their internet service. To find out the annual discount, we need to multiply this monthly discount by the number of months in a year.
So, the calculation is as follows: $15 (monthly discount) x 12 (months in a year) = $180. Therefore, the annual discount offered by the company is $180.
Learn more about Monthly Discount here:https://brainly.com/question/35524495
#SPJ2
3(3x+4)=10+2(4x-5) solve
Answer:
x = -12
Step-by-step explanation:
9x + 12 = 10 + 8x - 10
9x + 12 = 8x + 10 -10
9x + 12 = 8x
12 = 8x -9x
12 = -x
12/-1
x = -12
what is 18/60 simplified?
Answer: 3/10
Step-by-step explanation:
18/60 divide each number by 3
6/20 divide by 2
3/10
Answer: 3/10
Step-by-step explanation: To write the fraction 18/60 in lowest terms, we divide the numerator and the denominator by the greatest common factor of 18 and 60 which is 6.
Which of the following is an equation of the circle in
the xy-plane that has center (0,0) and radius 4?
A) x2 + y2 = 4
B) x2 + y2 = 8
C) x2 + y2 = 16
D) x2 + y2 = 64
Answer:
C
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ← where r is the radius
here r = 4, thus
x² + y² = 4², that is
x² + y² = 16 → C
Answer:
C). x^2 + y^2 = 16.
Step-by-step explanation:
The equation of a circle with center (0, 0) and radius r is
x^2 + y^2 = r^2
So our equation (with r = 4) is:
x^2 + y^2 = 4^2
x^2 + y^2 = 16.
which integer is equivalent to 25^ 3/2
25^(3/2) = sqrt{25^3}
Now 25^3 = 15,625.
sqrt{15, 625} = 125
Done.
What is 3/4x2 in simplest form
Answer:
3/2
Step-by-step explanation:
1) Reduce the numbers with greatest common divisor (2 goes into 4 2 times, so your new problem would be 3/2 x1)
2) Multiply (3/2 times 1 equals 3/2)
Answer:
5
Step-by-step explanation:
Multiply (3x2)=6
the 4 on top add that with 6 (6+4)= 10
keep the denominator so 10/2
10/2 = 5/1 = 5
heyyyyy help pls
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
Answer:
-30
Step-by-step explanation:
1) Remove unnecessary parenthesis:
-20-10
2) Calculate the difference:
-30
Hey!
-----------------------
Solution:
= (-20) - (10)
= -20 - 10
= -30
-----------------------
Answer:
A. -30
-----------------------
Hope This Helped! Good Luck!
Two objects are ________ when they have the same size and shape. What’s the blank?
Answer:
I think the answer is 'congruent'. :)
Step-by-step explanation:
Use the point-slope formula to write an equation of the line that passes through (-5,3) and
(4,6). Write the answer in slope-intercept form (if possible).
Answer:
The equation in point slope form is [tex]y-6=\frac{1}{3}(x-4)[/tex]
The equation in slope intercept form is [tex]y=\frac{1}{3}x-\frac{14}{3}[/tex]
Step-by-step explanation:
step 1
Find the slope m
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
[tex](-5,3),(4,6)[/tex]
Substitute the values
[tex]m=\frac{6-3}{4+5}[/tex]
[tex]m=\frac{3}{9}[/tex]
simplify
[tex]m=\frac{1}{3}[/tex]
step 2
Find the equation of the line in point slope form
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=\frac{1}{3}[/tex]
[tex](4,6)[/tex]
substitute
[tex]y-6=\frac{1}{3}(x-4)[/tex] ---> equation in point slope form
step 3
Find the equation of the line in slope intercept form
[tex]y=mx+b[/tex]
[tex]y-6=\frac{1}{3}(x-4)[/tex] ----> convert to slope intercept form
[tex]y-6=\frac{1}{3}x-\frac{4}{3}[/tex]
[tex]y=\frac{1}{3}x-\frac{4}{3}+6[/tex]
[tex]y=\frac{1}{3}x-\frac{14}{3}[/tex]
Jada bought 3 1/2 yards of fabric for $21. How much did each yard cost
Answer:
6
Step-by-step explanation:
3 1/2 = 3.5
21/3.5 = 6
The cost of one yard of fabric is required.
The cost of one yard of fabric is [tex]\$6[/tex]
Cost of [tex]3\dfrac{1}{2}\ \text{yards}[/tex] of fabric is [tex]\$21[/tex]
[tex]3\dfrac{1}{2}=\dfrac{7}{2}\ \text{yards}=\$21[/tex]
We need to divide both sides by [tex]\dfrac{7}{2}[/tex]
[tex]1\ \text{yard}=\dfrac{21}{\dfrac{7}{2}}[/tex]
[tex]=21\times \dfrac{2}{7}=\$6[/tex]
The cost of one yard of fabric is [tex]\$6[/tex]
Learn more:
https://brainly.com/question/9815733?referrer=searchResults
The base of a triangle exceeds the height by 3 feet. If the area is 350 square feet, find the length of the base and the height of the triangle.
Answer:
base is 28 feet squared
height is 25 feet squared
From the conditions given, we set up an equation (1/2) * (h + 3) * h = 350. By solving for h, we find the height of the triangle is 20 feet and the base, which is 3 feet more, is 23 feet.
Explanation:In this problem, we are given that the base of a triangle exceeds the height by 3 feet and the area of the triangle is 350 square feet. We need to use the formula for the area of a triangle, which is (1/2)bh, where b is the base and h is the height. We can set up an equation from the given conditions: (1/2) * (h + 3) * h = 350. Solving for h, we get h = 20 feet. Therefore, the base b = h + 3 = 20 + 3 = 23 feet. So, the height of the triangle is 20 feet and the base is 23 feet.
Learn more about Triangle Area here:https://brainly.com/question/27683633
#SPJ3
What is the circumference of a circle with a diameter of 3.4 cm?
Use 3.14 for pi.
Enter your answer as a decimal in the box.
Answer: 10.676 cm
Step-by-step explanation:
We know that ,
The circumference of a circle is given by :_
[tex]\text{Circumference}=\pi d[/tex] , where d= diameter.
Given : Diameter of circle = 3.4 cm
Then Circumference of circle = [tex](3.14)(3.4=10..676\text{ cm}[/tex]
Hence, the circumference of a circle with a diameter of 3.4 cm is 10.676 cm.
Please need help on this
Answer:
○ B x² + 3x - 6
Step-by-step explanation:
Here is the Quadratic Equation:
y = Ax² + Bx + C
Find the expression that is in this form, which would be answer choice B.
I am joyous to assist you anytime.
How are dilations similar to scale drawings?
8 to the power of 2 + 3 ( 36 divided by 6 ) - 2
[tex]\huge\boxed{80}[/tex]
Let's start off by writing this with symbols. [tex]8^2+3(\frac{36}{6})-2[/tex]
Follow the order of operations and start with the exponent. [tex]64+3(\frac{36}{6}-2[/tex]
Now, solve the parentheses. [tex]64+3*6-2[/tex]
Multiply. [tex]64+18-2[/tex]
Add. [tex]82-2[/tex]
[tex]\boxed{80}[/tex]
Final answer:
Explanation of solving an arithmetic expression with exponents, division, addition, and subtraction following the order of operations.
Explanation:
To solve the expression 82 + 3 ×(36 / 6) - 2, follow the order of operations (PEMDAS):
Calculate the exponential term: 82 = 64
Divide 36 by 6: 36 / 6 = 6
Multiply 3 by the result of the division: 3 ×6 = 18
Substitute the values back into the original expression: 64 + 18 - 2
Perform the addition and subtraction: 64 + 18 = 82, then 82 - 2 = 80
Therefore, the result of the expression 82 + 3 ×(36 / 6) - 2 is 80.
Write the equation of the line perpendicular to y= -1/2x - 5 through the point (1,-4)
Answer:
y = 2x - 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{1}{2}[/tex] x - 5 ← is in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2, thus
y = 2x + c ← is the partial equation of the line
To find c substitute (1, - 4) into the partial equation
- 4 = 2 + c ⇒ c = - 4 - 2 = - 6
y = 2x - 6 ← equation of line
What is 60,000 rounded to the nearest thousand?
60,000 rounded to the nearest thousand is 6000
3/4 m = 66
What is the answer?
Answer:
m=88
Step-by-step explanation:
First we have to isolate the variable. In this case, it would be by multiplying the reciprocal of the fraction the both sides. M will be alone and the other side should come out to be 88. Assuming you know how to multiply with fractions, of course.
a fraction that is a repeating decimal between 0.5 and 1
The fraction [tex]\( \frac{2}{3} \)[/tex] results in a repeating decimal [tex]\( 0.\overline{6} \)[/tex], which falls between 0.5 and 1.
Sure, here's a step-by-step explanation:
1. Start with the fraction: We begin with the fraction [tex]\( \frac{2}{3} \)[/tex].
2. Convert to decimal: To convert this fraction to a decimal, divide the numerator (2) by the denominator (3).
[tex]\[ \frac{2}{3} = 0.66666... \][/tex]
The decimal representation of [tex]\( \frac{2}{3} \) is \( 0.\overline{6} \)[/tex], which means the digit 6 repeats infinitely.
3. Determine where it falls between 0.5 and 1: Since the decimal [tex]\( 0.\overline{6} \)[/tex] is greater than 0.5 and less than 1, the fraction [tex]\( \frac{2}{3} \)[/tex] indeed fits the criteria of being a fraction with a repeating decimal between 0.5 and 1.
1. One day, 758 people visited the
Monkey House at the zoo. What is
758 rounded to the nearest hundred?
Good morning ☕️
______
Answer:
800
_____________________
Step-by-step explanation:
758 rounded to the nearest hundred 800 because 5 is greater than 4.
:)
H - 26 = -29 linear equation solving show steps
Answer:
H = -3
Step-by-step explanation:
H - 26 = -29
+26 +26
H = -3
H-26=-29
move -26 to the other side
sign changes from -26 to +26
H-26+26=-29+26
H=-29+26
Answer: H=-3
8.9 x 10^-5 in standard notation
Answer:
the answer = 0.000089x
Step-by-step explanation:
(5 to the power of 4) to the power of 3
Answer as a exponent.
Answer:
5^12
Step-by-step explanation:
When you have a question where a number is raised to the power of twice you just multiply both exponents. In this case 4x3=12
So 5 to the power of 4 to the power of 3 is 5 to the power of 12
-7y+11y+9=-3 what does y equal
Answer:
y=-3
Step-by-step explanation:
-7y+11y+9=-3
1) Combine alike terms:
4y+9=-3
2) subtract a 9 on both sides:
4y=-12
3) divide both sides by 4:
y=-3
two numbers have a sum of 24. if one number is P, express the other number in terms of P
Say the other number is a. The sum is a+P, which also equals 24.
Write it as, a+P=24.
Now subtract P from both sides.
you get, a = 24-P
So, the other number in terms of P is 24 - P
To express the other number in terms of P when the sum of the two numbers is 24, subtract P from 24: Q = 24 - P.
In Mathematics, when you have a sum of two numbers, and you know the value of one number, you can find the other number by subtracting the known number from the total sum.
This is known as solving for a variable.
In this specific question where two numbers have a sum of 24, and if one number is P, the other number can be expressed in terms of P as 24 - P.
It is a simple equation derived from the basic formula: Sum = Number1 + Number2
Learn more about Variable here:
https://brainly.com/question/32878076
#SPJ2
A rectangular school banner has a length of 54 inches and a width of 36 inches. A sign is made that is similar to the school banner and has a length of 17 inches. What is the ratio of the area of the school banner to the area of the sign?
Answer:
It is about 3.18 inches
Step-by-step explanation:
54 divide by 17 equals to 3.17647058824
estimate 3.17647058824 to hundredth place equals to 1.18