Answer:
-2
Step-by-step explanation:
Since they are parallel, they have the same slope. This will be true for any set of lines.
The formula for the circumference of a circle is C = 2πr, where r is the radius. Rearrange the formula to solve for r and select the correct option below.
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
Adhy, Ben and Clayson shared a bag of chocolates. The ratio of Adhy's share to Ben's share is 3:4 while
the ratio of Ben's share to Clayson's share is 3:5.
Given that Ben has 9 more chocolates than Adhy, find the difference between the number of chocolates
that Adhy and Clayson has.
Answer: 33
Step-by-step explanation:
The ratio of Adhy's to Ben's is 3:4 so let
Adhy = 3x
Ben = 4x
Since Ben = Adhy + 9
then 4x = 3x + 9
--> x = 9
So, Adhy = 3x = 3(9) = 27
Ben = 4x = 4(9) = 36
*************************************************************
The ratio of Ben's to Clayson's is 3:5
How do we get Ben's ratio of 3 equal to 36? by multiplying by 12
Ben : Clayson
3 x 12 5 x 12
36 60
So, Clayson = 60
***********************************************************
The difference between Adhy and Clayson is:
Clayson - Adhy
60 - 27 = 33
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.
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.
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Word expression to match 24-6+3
Answer:
I think itśn 5
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]
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
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.
-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
What is 60,000 rounded to the nearest thousand?
60,000 rounded to the nearest thousand is 6000
7X²-26X-8=0
Solving polynomial equations with factoring, algebra. Please help me!
Answer: [tex]\bold{x=\bigg\{4,-\dfrac{2}{7}}\bigg\}[/tex]
Step-by-step explanation:
7x² - 26x - 8 = 0
Find two numbers whose product equals (7)(-8) and sum equals -26.
-28 × 2 = 56, -28 + 2 = -26
Replace -26x with -28x + 2x: 7x² - 28x + 2x - 8 = 0
Factor the left two terms & right two terms: 7x(x - 4) + 2(x - 4) = 0
Notice that both sides have a common factor of (x - 4) --> This is one of the factors. The other factor is what is on the outside of (x - 4) --> 7x + 2
Rewrite the expression as two factors: (x - 4)(7x + 2) = 0
set each factor equal to zero and solve for x.
x - 4 = 0 7x + 2 = 0
x = 4 7x = -2
x [tex]=-\dfrac{2}{7}[/tex]
The perimeter of a rectangle is 44 m. The length is 4 m more than the twice the
width. Find the dimensions.
Final answer:
The dimensions of the rectangle with a perimeter of 44 m, where the length is 4 m more than twice the width, are 6 m for the width and 16 m for the length.
Explanation:
The perimeter of a rectangle is given as 44 m, and the length (L) is said to be 4 m more than twice the width (W). To find the dimensions, we can set up the following equations based on the properties of a rectangle:
Perimeter P = 2(L + W)
L = 2W + 4
Since the perimeter is 44 m, we can substitute the length expression into the perimeter equation:
44 = 2((2W + 4) + W)
By solving this equation for width (W), we get:
44 = 2(3W + 4)
44 = 6W + 8
36 = 6W
W = 6 m
Now that we have the width, we can determine the length using the expression for L:
L = 2(6) + 4 = 16 m
Therefore, the final answer for the width is 6 m and the length is 16 m.
evaluate 4 square root 9 square root 9 over 4 square root 9^5
[tex]\frac{\sqrt[4]{9}.\sqrt{9}}{\sqrt[4]{9^5}}[/tex]
[tex]\frac{9^\frac{1}{4}.9^\frac{1}{2}}{9^\frac{5}{4}}[/tex]
[tex]\frac{9^\frac{6}{8}}{9^\frac{5}{4}}[/tex]
[tex]9^{\frac{6}{8}-\frac{5}{4}}[/tex]
[tex]9^\frac{-1}{2}[/tex]
For which of the following statements is the inverse false? A. If a triangle is an equilateral triangle, then one angle equals 60°. B. If a triangle is a right triangle, then the other two angles add up to 90°. C. If a triangle is an equilateral triangle, then each of the angles equals 60°. D. If a triangle is a right triangle, then one angle equals 90°.
The statement for which the inverse is false is A, because if one angle of a triangle equals 60°, the triangle is not necessarily equilateral.
The question asks for which statement the inverse is false. To answer this, we analyze each statement and its inverse:
A. If a triangle is an equilateral triangle, then one angle equals 60°. Inverse: If one angle of a triangle equals 60°, then the triangle is equilateral. This could be false if the triangle is not equilateral but one angle happens to be 60°.
B. If a triangle is a right triangle, then the other two angles add up to 90°. Inverse: If two angles of a triangle add up to 90°, then it is a right triangle. This is true, given the geometric principle that the sum of angles in a triangle is 180°.
C. If a triangle is an equilateral triangle, then each of the angles equals 60°. Inverse: If each angle of a triangle equals 60°, then it is an equilateral triangle. This is true, as by definition, an equilateral triangle has all angles equal.
D. If a triangle is a right triangle, then one angle equals 90°. Inverse: If one angle of a triangle equals 90°, then it is a right triangle. This is true, as by definition, a right triangle has one 90° angle.
Therefore, the statement for which the inverse could be false is A.
categorize the following graph as linear increasing, linear decreasing, exponential growth, or exponential decay
Answer:
Linear decreasing
Step-by-step explanation:
We are given that a graph
We have to find the type of graph.
Increasing function: If [tex]x_1 \leq x_2[/tex]
Then ,[tex]f(x_1)\leq f(x_2)[/tex]
Decreasing function:If [tex]x_1\leq x_2[/tex]
Then, [tex]f(x_1)\geq f(x_2)[/tex]
The given graph is not exponential graph because exponential graph is type of curve.
But given graph is line graph.
The equation of line
[tex]y=mx+c[/tex]
The equation of line is linear equation.
When x increasing then value of function decreasing with increasing value of x.
Hence, the graph is linear decreasing.
Final answer:
The graph depicts a logistic growth model, signified by an S-shaped curve, which represents population growth that begins exponentially, slows as resources deplete, and stabilizes at the carrying capacity.
Explanation:
The graph you are referring to seems to describe a logistic growth model, which is characterized by an S-shaped curve. This type of growth is common in populations where initially there is exponential growth due to plenty of resources and few individuals. However, as the population increases, resources become limited, slowing the growth rate; eventually, the population size stabilizes at the carrying capacity of the environment. When categorizing the graph:
Initially, the growth is exponential.
Over time, as resources become scarce, the growth rate decreases.
Finally, growth becomes nearly zero as the population reaches the environment's carrying capacity.
At different time intervals, we can annotate changes in the growth rate:
During the first phase, growth rate increases linearly with the number of individuals (exponential growth).
During the second phase, the growth rate decreases in proportion to the square of the number of individuals.
In the third phase, when carrying capacity is reached, the rate of growth is zero (no net increase in population).
This can be contrasted with the exponential growth model which is represented by a J-shaped curve and shows unbounded growth over time.
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]
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which integer is equivalent to 25^ 3/2
25^(3/2) = sqrt{25^3}
Now 25^3 = 15,625.
sqrt{15, 625} = 125
Done.
In order for an atom to have a zero charge every proton which has a change of +1, must be matched with an electron which has a change of -1 a helium atom has 2 protons and 2 electrons explain why a helium atom has a zero change
A helium atom has a zero charge because the number of protons equals the number or protons. The positive and negative charges add together to reach zero.
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:
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.
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8.9 x 10^-5 in standard notation
Answer:
the answer = 0.000089x
Step-by-step explanation:
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.
Solve the equation for Y 4x-10y = 12
4x - 10y = 12
4x - 12 = 10y
y = (4x - 12)/10
y = 2x/5 - 6/5
Evaluate f(x) = -4x + 7 when x = 2 and x = -2.
Answer:
f(x)=-1 and 15
Step-by-step explanation:
What you do is you put -2 and 2 into the x.
f(x) = -4(-2) + 7 = -1
f(x) = -4(2) + 7 = 15
f(x)=-1 and 15 are your answers.
After substituting the values of x into the function f(x)=-4x + 7, when x = 2 the result is -1, and when x= -2 the result is 15, indicating specific points on the graph of the function.
Explanation:To evaluate the function f(x) = -4x + 7 for specific values of x, we need to substitute the x values provided into the function.
When x = 2, f(2) = -4(2) + 7 = -8 + 7 = -1.
When x = -2, f(-2) = -4(-2) + 7 = 8 + 7 = 15.
So, f(2) = -1 and f(-2) = 15. These values represent specific points on the graph of the function f(x) = -4x + 7.
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Jenny’s Gift Shop sells candles in a variety of packages. The cost per candle is the same in every package. A package of 8 candles costs $12.96. Determine the cost of a package of 3 candles.
Answer:
8 candle = $12.96
1 candle =($12.96/8)
= $1.62
package of 3 candles =3×$(1.62)
: =$4.86
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.
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
(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