y = -1/5x +1/2 linear function has the same slope .
What is slope ?A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all. Any two different points on a line can be used to calculate the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula. We shall comprehend the slope-finding method and its applications in this essay.
First solve for the slope
m =[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
m=[tex]\frac{0-\frac{3}{5} }{\frac{1}{2} -\frac{1}{5} }[/tex]
m = [tex]\frac{-1}{5}[/tex]
Look for the linear equation with the same value of m after determining the slope (parallel equation).
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If you plot the point -8.85 on anumber line. would you place it to the left or right of -8.8? explain
Explanation:
Think of -8.8 as -8.80
We're comparing -8.85 to -8.80, which means we're comparing the stuff after the decimal 85 and 80
Since 85 > 80, this places -8.85 to the left of -8.80
It's like saying how -85 is to the left of -80
I recommend drawing out a number line to see what's going on.
The function g(r) represents the shift of the
function f(x) five units to the right. If f(x)=
It +5, which of the following is g(x)?
What number is 0.5% of 8
Answer:
0.5%=0.5/100
0.5/100×8=0.04
N=65 p=0.5 X=39 binomial formula
The binomial formula with the given parameters has a value of 0.0272
How to evaluate the binomial formula?The given parameters are
N = 65
p = 0.5
X = 39
The interpretation of the above parameters are
Sample size, N = 65
Probability of success, p = 0.5
Number of success, X = 39
The binomial probability states that
P(x) = ⁿCₓ * pˣ * (1 - p)ⁿ⁻ˣ
Where n, p and x are the same as the parameters described above
When the values are substituted in the binomial probability formula, we have
P(39) = ⁶⁵C₃₉ * (0.5)³⁹ * (1 - 0.5)⁶⁵⁻³⁹
Evaluate the difference
P(39) = ⁶⁵C₃₉ * (0.5)³⁹ * (0.5)²⁶
Evaluate the products
P(39) = ⁶⁵C₃₉ * (0.5)⁶⁵
This gives
P(39) = 0.0272
Hence, the value of the binomial formula is 0.0272
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A shipping box is 36 inches by 24 inches by 18 inches; how many cubic ft. can it hold?
A) 8 D) 12
B) 9 E) 15
C)10
The volume that the shipping box which measure 36 inches by 24 inches by 18 inches can hold is 9 cubic feet.
What is the volume of the shipping box with the given dimensions?A rectangular prism is simply a three-dimensional solid shape which has six faces that are rectangles.
The volume of a rectangular prism is expressed as;
V = w × h × l
Given the data in the question;
Length l = 36 in = ( 32/12 )ft = 3ftWidth w = 24 in = ( 24/12 )ft = 2ftHeight h = 18 in = ( 18/12 )ft = 1.5ftVolume V = ?Plug the given values into the formula above and solve for the volume V.
V = w × h × l
V = 2ft × 1.5ft × 3ft
V = 3ft² × 3ft
Volume V = 9ft³
Therefore, the volume of the rectangular prism is 9 cubic feet.
Option B is the correct answer.
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Help please need answer
17Given:
The smaller triangle is,
Find the length of the hypotenuse,
[tex]\begin{gathered} \text{hypotenuse}^2=4^2+1^2 \\ =16+1 \\ =17 \\ \text{hypotenuse}=\sqrt[]{17} \end{gathered}[/tex]The larger traingle is,
[tex]\begin{gathered} \text{Hypotenuse}^2=12^2+3^2 \\ =144+9 \\ =153 \\ \text{Hypotenuse}=3\sqrt[]{17} \end{gathered}[/tex]Now, find all the trigonometric functions for a smaller triangle.
[tex]\begin{gathered} \sin \theta=\frac{opposite\text{ side}}{\text{hypotenuse}}=\frac{1}{\sqrt[]{17}} \\ \cos \theta=\frac{Adjacent\text{ side}}{\text{hypotenuse}}=\frac{4}{\sqrt[]{17}} \\ \tan \theta=\frac{opposite\text{ side}}{\text{adjacent side}}=\frac{1}{4} \\ co\sec \theta=\frac{\text{hypotenuse}}{opposite\text{ side}}=\frac{\sqrt[]{17}}{1}=\sqrt[]{17} \\ \sec \theta=\frac{\text{hypotenuse}}{adjacent\text{ side}}=\frac{\sqrt[]{17}}{4} \\ \cot \theta=\frac{adjecent\text{ side}}{\text{opposite side}}=\frac{4}{1}=4 \end{gathered}[/tex]For the larger triangle,
[tex]\begin{gathered} \sin \theta=\frac{opposite\text{ side}}{\text{hypotenuse}}=\frac{3}{3\sqrt[]{17}}=\frac{1}{\sqrt[]{17}} \\ \cos \theta=\frac{Adjacent\text{ side}}{\text{hypotenuse}}=\frac{12}{3\sqrt[]{17}}=\frac{4}{\sqrt[]{17}} \\ \tan \theta=\frac{opposite\text{ side}}{\text{adjacent side}}=\frac{3}{12}=\frac{1}{4} \\ co\sec \theta=\frac{\text{hypotenuse}}{opposite\text{ side}}=\frac{3\sqrt[]{17}}{3}=\sqrt[]{17} \\ \sec \theta=\frac{\text{hypotenuse}}{adjacent\text{ side}}=\frac{3\sqrt[]{17}}{12}=\frac{\sqrt[]{17}}{4} \\ \cot \theta=\frac{adjecent\text{ side}}{\text{opposite side}}=\frac{12}{3}=4 \end{gathered}[/tex]Therefore, the value of the function is the same because the triangles are similar so, corresponding sides are proportional.
Which pair or pairs of polygons are congruent?2624-2220-18pair 116pair 21412-10-86-4pair 3
Congruent polygons are those that have equal measurements. Since we are given their graphs, we simply inspect each pair of polygons to determine which among them are congruent.
I have made an example using the first pair. I rotated the first polygon (the red one) to show that they are indeed congruent.
Following the same process, we can see that pairs 3 and 4 are also congruent.
Pair 2 are not congruent because the green rectangleis longer.
So the answer is pairs 1, 3, and 4.
8x^2 - 9 when x = -4
Answer:
119
Step-by-step explanation:
substitute x = - 4 into the expression
8x² - 9
= 8(- 4)² - 9
= 8(16) - 9
= 128 - 9
= 119
Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 4 h, and Car B traveled the distance in 4.5 h. Car B traveled 5 mph slower than Car A. (The formula R⋅T=D , where R is the rate of speed, T is the time, and D is the distance can be used.) How fast did Car B travel? Enter your answer in the box.
Car B travelled with the rate of speed of 40mph .
In the question ,
it is given that ,
Car B travelled 5mph slower than Car A .
let the rate of speed at which Car B travelled be x mph.
So , the rate of speed of Car A is = (x+5) mph
Car A travelled the distance in 4 h , with the speed of (x+5) mph ,
the value of T = 4 h and R = (x+5) mph
So, by the formula R*T=D ,
we get ,the distance travelled by Car A = 4(x+5) miles .
Car B travelled the distance in 4.5 h , with the speed of x mph .
the value of T= 4.5h and R = x mph
So, by the formula R*T=D,
we get , the distance travelled by Car B = 4.5*x = (4.5x) miles .
Since , both the cars travelled the equal distance ,
we get ,
4(x+5) = 4.5x
4x+20=4.5x
4.5x-4x = 20
0.5x= 20
x = 40
Therefore , the rate of speed of Car B is 40 mph.
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I went to Old Navy and found a pair of pants on sale for $24. This price was 15% off the original price. What was the original price?
The original price of the pants is $28.23
Let the original price of the pants be 100x
Then, the discount given will be 15x
and the sale price would be 85x
According to the question, the sale price given is 24
So,
85x = 24
x = 24÷85
x= 0.2823
Therefore,
100x = 100*0.2823
= 28.23
Hence, the original price of the pants is $28.23
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PLEASE HELP I DONT UNDERSTAND
(a) The angles are exterior angles.
(b) The angles are alternate exterior angles and are equal to each other.
(C) The value of x is 6 and the measure of angle 27x - 5 is equal to 130°.
The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.
Two parallel lines and a transversal cutting them are given. The two angles are 130° and 27x - 5.
Both angles are exterior angles.
The angles 130° and 27x - 5 are alternate exterior angles and are equal.
Now,
130° = 27x - 5
Adding 5 on each side.
27x - 5 + 5 = 130 + 5
27x = 135
Dividing each side by 27
x = 5°
Therefore, substituting the value of x.
27x - 5 = 27(5) - 5 = 135 - 5 = 130°
Hence, the measure of angle 27x 0 5 = 130°
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Calculate the Pressure
300N divided 5m²equals? Nper m²
Find the standard form of the graph
The Standard form is y = [tex]x^{2}[/tex] + 6x - 16
Given,
A quadratic function n standard form whose graph has the given characteristics.
and, passes through (-8, 0), (-6, -16), (2,0).
To find the y =?
Now, According to the question:
Because the graph of a quadratic goes through point (-8 ,0) and point (2, 0)
So, supposing the equation of the quadratic function is
y = a [x - (-8)] (x - 2) = a (x + 8)(x - 2)
The graph passes through the point (-6, 16)
So, -16 = a(-6 + 8)(-6 -2)
=> -16 = a x 2 x (-8)
=> a = 1
So, y = (x + 18)(x - 2)
y = [tex]x^{2}[/tex] + 8x - 2x - 16
y = [tex]x^{2}[/tex] + 6x - 16
Hence, The Standard form of y = [tex]x^{2}[/tex] + 6x - 16
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A truck is carrying tomato juice, orange juice, and cherry juice bottles in a ratio of 4:3:4. If there are 30 orange juice bottles, then how many juice bottles in total are there.
We know that there are tomato juice, orange juice, and cherry juice bottles in a ratio of 4:3:4, respectively.
As you can observe in the given ratio, to get 30 orange juice, we have to multiply it by 10. So, if we multiply the whole ratio, we obtain the following
[tex]\begin{gathered} 4\times10\colon3\times10\colon4\times10 \\ 40\colon30\colon40 \end{gathered}[/tex]This means that 30 orange juice bottles are in the same ratio as 40 tomato juice bottles and 40 cherry juice bottles.
Hence, the total number of juice bottles is 40+30+40 = 110.The city is issuing bonds to raise money for a building project. You obtain a $4100 bond that pays 6% interest annually that matures in 8 years. How much interest will you earn?
rather its multiplication,division,adding, and subtraction I will give four answers
Answers: I think its 718320000
The revenue for selling x units of a product is R = 113.95 x. The cost of producing x units is C = 93 x + 750. In order to obtain a profit, the revenue must be greater than the cost. For what values of x will this product produce a profit? (Enter a number. Round your answer up to the nearest whole unit.)
To make a profit with the revenue of R=113.95x and cost of C =93x + 750 the value of x is 36units.
As given in the question,
The revenue for selling x units of a product is R = 113.95 x.
The cost of producing x units is C = 93 x + 750
To make a profit, the revenue must be greater than the cost.
R > C
113.95x > 93x +750
Subtract 93x from both the sides
113.95x -93x +93x-93x +750
⇒20.95x > 750
⇒x > 750/20.75
⇒x>35.799
Value of x to produce a profit is 36units
Therefore, to make a profit with the revenue of R=113.95x and cost of C =93x + 750 the value of x is 36units.
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|x - 3|= 2x - 15
8 - 2|6 - x|= 20
By solving both equations we get x =:
1. x = 12
2. x = 28/3
solution1. |x - 3| = 2x - 15
|x - 3| - 2x = 2x - 15 - 2x
by simplifying,
- 2x + |x - 3| = -15
- 2x + x -3 = -15 and -2x - (x - 3) = -15
by solving equation ,
= -x -3 = - 15
= -x = -12
x = 12
2. 8 - 2|6 - x|= 20
6 |6 - x| = 20
6 |-x + 6| = 20
dividing both side with 6,
(6 |-x + 6|)/6 = 20/6
| -x + 6| = 10/3
add 6 on both sides,
x - 6 + 6 = 10/3 +6
x = 28/3
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Question is stated in picture. Don’t forget to round to nearest tenth.
In order to calculate the volume of the cone, we can use the formula:
[tex]V=\frac{1}{3}\pi\cdot r^2\cdot h[/tex]Where r is the base radius and h is the height.
So, using r = 3 and h = 4, we have:
[tex]\begin{gathered} V=\frac{1}{3}\cdot3.14\cdot3^2\cdot4 \\ V=37.68 \end{gathered}[/tex]Therefore the volume is 37.68 units³.
Please help me with my calculus homework, thanks so much!
SOLUTION:
Step 1:
In this question, we are given the following:
Use geometry to evaluate:
[tex]\int ^2_0(\sqrt[]{4-x^2}\text{ ) }dx[/tex]Step 2:
The details of the solution are as follows:
CONCLUSION:
The final answer is:
[tex]\pi\text{ -- OPTION B}[/tex]A mixture of alcohol and water contains a total of 35oz of liquid. There are 7oz of pure alcohol in the mixture. What percent of the mixture is water? What percent is alcohol?
The mixture has two components, this means that we can calculate the percentages if we divide the portion of water or alcohol by the total amount of the mixture.
For alcohol:
[tex]\frac{7oz}{35oz}\times100=0.2\times100=20\%[/tex]For water:
[tex]\frac{35oz-7oz}{35oz}\times100=0.8\times100=80\%[/tex]Answer:
The mixture is 20% alcohol and 80% water
Given the radius r of a sphere, calculate it's volume V using the formula V = Calculate V when r = 2 feet and use 7 = 3.14. Round your answer to two decimal
Solution
The volume of a sphere is given by:
[tex]V=\frac{4}{3}r^3\pi^{}[/tex]And replacing the info given we got:
[tex]V=\frac{4}{3}\cdot(2ft)^3(3.14)=33.49ft^3[/tex]Then the final answer would be 33.49 ft3
You purchase $7,000 from a store offering 10% down, no interest if paid in full by three months.
$5,000 is paid before deadline, how much is owed if monthly interest is 2.49%?
Owed: $____________
The $7,000 worth of purchase and payment of $5,000 before the three months deadline gives the amount owed at 2.49% monthly compound interest rate as $2,153.15
Owed: $2,153.15
What is a compound interest rate?Compound interest accounts for the interest that is earned on an interest, such that the interest rate is compounded on an initial amount.
The given parameters are;
The amount of the items purchased from the store = $7,000
The amount of down payment required = 10%
The amount paid in three months = $5,000
Monthly interest on amount owed after three months = 2.49%
Required;
The amount owed after payment of $5,000 before three months
Solution;
Using the compound interest formula, we have;
[tex] \displaystyle{A = P \cdot \left(1 + r \right)^{n} }[/tex]
Where;
A = The amount owed
P = The amount loaned = $7,000 - $5,000 = $2,000
r = Monthly interest rate = 2.49%
n = The number of months = 3 months
Which gives;
[tex] \displaystyle{A = 2000 \times \left(1 + 0.0249 \right)^{3} \approx 2153.1509}[/tex]
The amount owed (for the 3 months period) is approximately $2,153.15
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<<<<< >>>>
How much is +7 - 4?
Number line: -15 to +15
A.3
B.11
C.-11
D.-3
_________
What is the value of +3 - 8?
Number line: -15 to +15
A.-11
B.-5
C.5
D.11
________
What is the value of 5 - 12?
Number line: -15 to +15
A.7
B.-17
C.17
D.-7
______What integer is the result of moving 10 units in a positive direction, starting at -6?
Number line: -15 to +15
A.-16
B.4
C.16
D.-4
Answer:
1. 3
2. -5
3. -7
4. 4
Step-by-step explanation:
prove me wrong
Can you please do this step by step.
The resulting exponent form is, 1/9¹⁰
Exponent:
Exponent is used to show repeated multiplication of a number by itself. For example,
7 × 7 × 7 can be represented as 7³
Here, the exponent is ‘3’ which stands for the number of times the number 7 is multiplied.
Given,
Here we have the exponent form is,
9⁻⁸x9⁻²
Here we have to use the product property and then we have to get rid of negative exponents.
First step is to use the product property,
We know that, the product property states that,
for any non-zero term a,
yᵃ x yᵇ = yᵃ⁺ᵇ
where a and b are real numbers.
So, the given expression is written as,
=> 9⁻⁸⁺⁽⁻²⁾
=> 9⁻⁸⁻²
=> 9⁻¹⁰
Now the second step is to get rid of the negative components,
As per the rule, the exponent is negative, we can change the exponent into positive by writing the same value in the denominator and the numerator holds the value 1.
So, the value is,
=> 9⁻¹⁰ = 1/ 9¹⁰
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57⁰
Diagram not
drawn accurately
(i) Work out the size of the angle marked p.
The measure of angle p is 213 degrees
How to determine the measure of the angle?The possible question is added at the end of the solution and as an attachment
From the attached figure, we have the following angles
Angle 1: Angle pAngle 2: Angle with a measure of 57 degreesAngle 3: Angle with a measure of 90 degrees i.e. a right-angled triangleAlso, from the attached figure:
We can see that the three angles named above are formed by lines that meet at a point (say the point of origin)
When multiple lines meet at a point, the sum of the angles formed at this point is 360 degrees
This means that
Angle 1 + Angle 2 + Angle 3 = 360
Substitute the known values in the above equation
So, we have
p + 57 + 90 = 360
Evaluate the sum in the above equation
So, we have
p + 147 = 360
Evaluate the like terms in the above equation
So, we have
p = 213
Hence, the value of the angle with the name p is 213 degrees
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Possible question
Diagram not drawn accurately
Work out the size of the angle marked p.
See attachment
A plot of land measure 25m by 12cm .A portion of this plot measuring 8m by 8m is used for cultivation of vegetable find the area of the plot not cultivated.
Answer
is ur question right
The skeletal system is not responsible for which of the following?
Answer now
Answer:
D
Step-by-step explanation:
D is managed by the circulatory system; all the others are done by skeletal system (blood cells are made in the bone marrow BTW).
how could you use the relationship between addition and subtraction with counting up to find 3 1/4 - 1 3/4
Answer:
1 1/2
Explanation:
We can illustrate the relationship between addition and subtraction using the following example:
If we have 5 - 3 = 2, then we can say that 2 + 3 = 5
So, in this case, the result of 3 1/4 - 1 3/4 is a number that added to 1 3/4 is equal to 3 1/4. Then, the answer will be 1 2/4 because:
[tex]1\frac{3}{4}+1\frac{2}{4}=\frac{7}{4}+\frac{6}{4}=\frac{13}{4}=3\frac{1}{4}[/tex]Because 1 3/4 is equivalent to 7/4 and 1 2/4 is equivalent to 6/4.
Finally, 2/4 is equivalent to 1/2, so we can rewrite the result 1 2/4 as follows:
1 2/4 = 1 1/2
Therefore, the answer is 1 1/2
Need this answer in 1 minute
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{8^3}{2^4}}[/tex]
[tex]\mathsf{= \dfrac{8\times8\times8}{2\times2\times2\times2}}[/tex]
[tex]\mathsf{= \dfrac{64\times8}{4\times4}}[/tex]
[tex]\mathsf{= \dfrac{512}{16}}[/tex]
[tex]\mathsf{= 512\div16}[/tex]
[tex]\mathsf{= 32}[/tex]
[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{32}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Power of fractions, with numerator and denominator.
The power is composed of a base and an exponent, so the exponent indicates how many times the base is multiplied, then,
[tex]\boldsymbol{\dfrac{8^{3} }{3^{4} }=\dfrac{8\times8\times8}{2\times2\times2\times2} =\cfrac{512}{16}=32 }[/tex]
What is the gradient of the straight line shown
below?
Answer:
Gradient = 1.
Step-by-step explanation:
Note that it passes through the points (6, 6) and (0, 0)
So, the gradient is (6-0)/(6-0)
= 1.