Given:
The line equation is,
\(y=5x-38\)To find:
The slope of the line which is perpendicular to the given line.
Explanation:
The slope of the given line is m = 5.
So, the perpendicular slope will be,
\(\begin{gathered} m\times m_1=-1 \\ 5m_1=-1 \\ m_1-\frac{1}{5} \end{gathered}\)Therefore, the slope of the line, if it were perpendicular to the given line, is
\(-\frac{1}{5}\)Final answer:
The slope of the line is,
\(-\frac{1}{5}\)100 Points, please provide full explanation.
The term "100 points" usually indicates a high level of achievement or success in a particular area.
The term "100 points" can refer to a number of different things depending on the context. For example, in sports, it could refer to a team scoring 100 points in a game.
In wine tasting, it could refer to a perfect score given to a wine by a critic or judge. In school, it could refer to receiving a perfect score on an exam or assignment worth 100 points.
It's important to note that while a perfect score of 100 points is often seen as the ultimate goal, it's not always necessary or even possible in some situations. In many cases, simply doing your best and striving for improvement is enough to be considered successful.
To learn more about : points
https://brainly.com/question/23848540
#SPJ8
true or false all numbers have a decimal point we just don't write them for whole numbers
uhhhhhhh itssss false
Answer:
False
Whole numbers are wholes, they will never ever have decimal points.
Carefree offers two type of care packages. The food packages sell for 20$ and the game packages sell for 32$. In one day Carefree sold 25 Care packeges. the receipt for those packages totaled 602$ How many of each type of package were sold
Answer:
Number of game package = 16.5
Number of food package = 8.5
Step-by-step explanation:
LET :
Food package = a
Game package = b
a + b = 25 - - - (1)
20a + 32b = 602 - - - (2)
a = 25 - b
Put a = 25 - b into (2)
20(25 - b) + 32b = 602
500 - 20b + 32b = 602
12b = 102
b = 102 / 12
b = 8.5
a = 25 - b
a = 25 - 8.5
a = 16.5
Number of game package = 16.5
Number of food package = 8.5
The average rate of growth for human hair is about 0.3 millimeters per day. How many days will it take a hair that is 12 millimeters long to grow to be 16.5 millimeters?
It will take 15 days for the hair to grow from 12mm to 16.5mm
What do you mean by average rate?By "average rate" in this context, we mean the typical or usual amount of hair growth per unit of time, which is often measured in millimeters per day. This rate can vary slightly depending on factors such as age, gender, genetics, diet, and overall health.
Let's first find out how much the hair needs to grow by subtracting its initial length (12mm) from its target length (16.5mm):
16.5mm - 12mm = 4.5mm
Now we can divide this growth by the average rate of hair growth to find the number of days it will take to grow this much:
4.5mm ÷ 0.3mm/day = 15 days
Therefore, it will take 15 days for the hair to grow from 12mm to 16.5mm.
To know more about average rate:
https://brainly.com/question/17219001
#SPJ1
the length of a rectangle is four times its width if the area of the rectangle is find its perimeter; a quadratic function g(x) passes through the points (-8, 33), (2, 1), and (8, 1).; the length of a rectangle is 4 times its width the area of the rectangle is 144 square inches; desmos; perimeter of rectangle; if the perimeter of the given triangle is subtracted by (4/a)cm , what will be its new perimeter?; the length of a rectangle is 20 units more than its width. the area of the rectangle is x4−100.; area of rectangle
The perimeter of the rectangle 48.48 inches and the expression of the new perimeter of the rectangle is 48.48 - (1.57/a) inches
How to determine the perimeter of the rectangleIn this question, we have
Area = 144 square inches
Length = 4 * Width
The area of a rectangle is represented as
A = lw
So, we have
A = (w + 4) * w
This gives
(w + 4) * w = 144
Expand
w² + 4w = 144
So, we have
w² + 4w - 144 = 0
Using a graphing calculator, we have
w = 10.12
Recall that
l = w + 4
So, we have
l = 10.12 + 4
Evaluate
l = 14.12
The perimeter is then calculated as
P = 2 * (l + w)
So, we have
P = 2 * (10.12 + 14.12)
Evaluate
P = 48.48
So, the perimeter is 48.48 inches
The new perimeterHere, we have
Value subtracted = (4/a) cm
Converted to inches
Value subtracted = (1.57/a) inches
So, we have
New perimeter = 48.48 - (1.57/a) inches
Read more about rectangles at
https://brainly.com/question/25292087
#SPJ1
Complete question
The length of a rectangle is four times its width. If the area of the rectangle is 144 square inches find its perimeter.
if the perimeter of the given rectangle is subtracted by (4/a)cm, what will be its new perimeter?;
Solve the inequality a−32<1 and write the solution in interval notation, using improper fractions if necessary.
Answer:
( -∞ , 33 )
Step-by-step explanation:
To solve the inequation a-32 < 1, we need to sum on both sides 32, as:
a - 32 + 32 < 1 + 32
a < 33
It means that the solutions are all the number that are smaller than 33 or in interval notation it would be:
( -∞ , 33 )
Where 33 is not included in the interval.
In the figure below, find the exact value of x. (Do not approximate your answer.)
Triangle ADC also has a right angle at D, making it a right-angled triangle.
The exact value of x be 2.25.
What is meant by "Pythagoras Theorem"?The hypotenuse's square is equal to the sum of its two other side squares of a right-angled triangle, according to the Pythagoras theorem.
Triangle ADB exists even a right-angled triangle with right-angle at D.
Therefore, Base of Triangle ADB = BD = 4,
Height of Triangle ADB = AD = 3,
Hypotenuse of Triangle ADB = AB
Using the Pythagoras Theorem, we get,
\($\left[(A D)^2+(B D)^2\right]=(A B)^2$\)
substitute the values in the above equation, we get
or,\($(A B)^2=\left[(3)^2+(4)^2\right]$\)
simplifying the equation, we get
or, \($(A B)^2=[9+16]$\)
or, \($(A B)^2=25$\)
or, \($\sqrt{(A B)^2}=\sqrt{25}$\)
or, AB = 25
Triangle ADC is also a right-angled triangle with right-angle at D.
Therefore, Base of Triangle ADC = DC = x
Height of Triangle ADC = AD = 3,
And, Hypotenuse of Triangle ADC = AC
Using the Pythagoras Theorem, we get,
\(& {\left[(D C)^2+(A D)^2\right]=(A C)^2} \\\)
simplifying the equation, we get
\(& \text { or },(A C)^2=\left[(3)^2+(x)^2\right] \\\)
\(& \text { or },(A C)^2=\left[9+x^2\right]\)
Triangle ABC is also a right-angled triangle with right-angle at A. Therefore, Base of Triangle ABC = AC,
Height of Triangle ABC = AB = 5,
And, Hypotenuse of Triangle ABC = BC = (4 + x)
Using the Pythagoras Theorem, we get,
\(& {\left[(A C)^2+(A B)^2\right]=(B C)^2} \\\)
\(& \text { or, }(B C)^2=\left[(A C)^2+(A B)^2\right] \\\)
substitute the values in the above equation, we get
\(& \text { or, }(4+x)^2=\left[\left(9+x^2\right)+(5)^2\right] \\\)
simplifying the equation, we get
\(& \text { or, }\left[4^2+(2 \times 4 \times x)+x^2\right]=\left[9+x^2+25\right] \\\)
\(& \text { or, }\left[16+8 x+x^2\right]=\left[(9+25)+x^2\right] \\\)
\(& \text { or, }\left[16+8 x+x^2\right]=\left[34+x^2\right] \\\)
\(& \text { or, }\left[16+8 x+x^2\right]-\left[34+x^2\right]=0 \\\)
\(& \text { or, },(16-34)+8 x+\left(x^2-x^2\right)=0 \\\)
8x - 18 = 0
8x = 18
\(& \text { or, } x=\frac{18}{8} \\\)
\(& \text { or, } x=\frac{9 \times 2}{4 \times 2} \\\)
\(& \text { or, } x=\frac{9}{4} \\\)
Therefore, the value of x be 2.25.
To learn more about Pythagoras Theorem refer to:
https://brainly.com/question/343682
#SPJ1
?????????????????????
Answer:60
Step-by-step explanation:
Select the geometric figure that fits the following description.
the collection of all points that are equidistant from a given point
Choice D is correct
Every point on circle is equidistant from the point at its centre and that fixed distance = radius of that circle.
If m/CGB 78°, then what is m/DGA?
Answer:
m ∠DGA = 78°
Step-by-step explanation:
∠CGB and ∠DGA are vertically opposite angles formed at the intersection of the two rays AB and CD
Such angles are equal to each other
Therefore
m ∠DGA = m ∠CGB = 78°
The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 23.5 for a sample of size 775 and standard deviation 12.2. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 95% confidence level). Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).
The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:
\(22.6 < \mu < 24.4\)
How to obtain the confidence interval?The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:
\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)
Looking at the z-table, the critical value for a 95% confidence interval is given as follows:
z = 1.96.
The lower bound of the interval is then given as follows:
\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)
The upper bound of the interval is then given as follows:
\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)
More can be learned about the z-distribution at https://brainly.com/question/25890103
#SPJ1
two rectangular prisms, m and n, are mathematically similar. The volumes of m and n are 17cm^3 and 136cm^3, respectively. The height of N is 18 cm. Find the corresponding height of m.
The corresponding height of similar rectangular prism m is 9 centimeter.
Given that, the volume of rectangular prism m is 17 cm³ and the volume of rectangular prism n is 136 cm³.
If two solids are similar, then the ratio of their volumes is equal to the cube of the ratio of their corresponding linear measures.
The height of n is 18 cm.
Here, m³/n³ = 17/136
m³/18³ = 17/136
m³/18³ = 17/136
(m/18)³ = 1/8
(m/18)³ = (1/2)³
m/18 = 1/2
m=9 cm
Therefore, the corresponding height of similar rectangular prism m is 9 centimeter.
Learn more about the similar figure here:
brainly.com/question/20368229.
#SPJ1
(EASY) find the angle - more info in the picture
Answer:
86°
Step-by-step explanation:
Angle addition postulate means add.
KLB + BLM = KLM
26° + 60° = 86°
Answer:
you just do 26 + 60 and you get 86 because the measure of the angle is the two angles added together.
Juan bakes 5 1/ 2 dozen rolls. He sells 1 3/4 dozen rolls. How many dozen rolls does he have left to sell?
A: 7
B: 4 1/2
C: 3 3/4
D: 3 1/2
Answer:
ju4n bakes some j16s
Step-by-step explanation:
so, if \(\neq \sqrt{x} x^{2}\) is a dozen roll, then he has 3 3/4 left to sell
C. 3 3/4
Answer:
3 3/4
Step-by-step explanation:
let me know if im wrong or not ok?
How Do You get: 5(5x + 2x /5 x 8)<78
Answer:
x < 1.39285714286
Step-by-step explanation:
5(5x+2x/5x8)<78
x5 x5
5(5x+2x(8))<390
/8 /8
5(5x+2x)<48.75
5(7x)<48.75
/5 /5
7x < 9.75
/7 /7
x < 1.39285714286
Sample Responses Label axes according to input
and output variables. Plot the ordered pair of the
independent and dependent variable on the
coordinate plane. Identify if there is a relationship
Which of the following did you include in your
response?
O Label the x-axis the input variable, age.
O Label the y-axis the output variable, texting speed.
O Plot the points according to age and texting speed.
O Identify a relationship between the change in
texting speed as age increases.
The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.
In the response, the following elements were included:
1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.
2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.
3 Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.
4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.
Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.
Know more about nonlinear relationship here:
https://brainly.com/question/27956555
#SPJ8
Please graph the equation y=x2−4x−5
Answer:
UwU
Step-by-step explanation:
Answer:
The answer is below
Step-by-step explanation:
Suppose that the lifetimes of a certain kind of light bulb are normally distributed with a standard deviation of 110 hours. If exactly 90% of the bulbs die before 930 hours, find the mean lifetime of the bulbs. Carry your intermediate computations to at least four decimal places.
Answer:
sorry bro
Step-by-step explanation:
i really need the points
determine the range of; y = |x|
The range of the given function y = |x| is [0, ∞).
As per the question, consider that the absolute value of any real number x is always non-negative.
Therefore, the output of the function y = |x| is always non-negative as well.
Furthermore, for any non-negative real number y, there are two possible inputs x that will produce that value of y: x and -x. For example, if y = 2, then x could be either 2 or -2.
Thus, every non-negative real number is in the range of y = |x|, and no negative numbers are in the range.
Therefore, the range of y = |x| is [0, ∞).
Learn more about the domain and the range here:
brainly.com/question/21027387
#SPJ2
figure below represents a floor covered with white tiles and gray tiles. KEY = 1 square unit
According to the information, we can infer that the correct expression is (10 * 7) + (2 * 7) (option D).
How to find the correct expression?To find the correct expression we must look at the graph and interpret the information it has. In this case, some tiles are white and others are gray, so they would represent different elements. In this case, the white area is 10 * 7 tiles, so this would be the first part of the expression.
On the other hand, the second part of the expression would be 7 * 2, which represents the length, length and width of the gray area. According to the above, the correct expression would be (10 * 7) + (2 * 7), the first part in parentheses represents the white area and the second part in parentheses represents the gray area.
Learn more about tiles in: https://brainly.com/question/18257982
#SPJ1
-5p = -40 solve for t
Answer:
p = 8
Step-by-step explanation:
Divide -5 to both sides
-5p = -40
5p = 40
p = 8
So p = 8
Please help me understand this handwriting can some pls re write and label I DONT UNDERSTAND CURSIVE :(
Answer:
7:01
29%
Doyan of low
Shiman 1-R-1
Flous 1-1 Gambe 1-4-20
12 dual purpose
Martins 1-2-3 Flores 1-2, 1-3, 14
Gamba 2-1-5
Custand 1-4, 2-1
Conditions " humanitarian groups Salahiel 1-1-1, 1-1-2, 1-2-3 1-R-5, 2-L-2, 2-L-3, 2-14, 2-1-5, 2-RI
Flores 1-30
Munting 1-2-4
Gumbon 1-1-3 CDP 1-1-3
Status oppose ending 742 Montoya 1-1, 1-2, 1-3
federal courts challenge
Gamboa 1-R-2 Custom 1-7
CDP 1-L-36, 1-2-4
de Vogue 1-2-1, 2-1-5, 2-L-6
7 expulsions at boders
root causes textul Amer.
Cop 1-L-34, 1-1-2, 1-R-4
Border Report 1-2
CDP 1-R-2, 1-R-3 Montoya 1-8
Custarda 2-2
=
CLOSE
Hopes this helps :)
Candice owns 88 acres of farmland. She grows beets on 3/4 of the land. On how many acres of land does Candice grow beets?.
Candice grows beets on 66 acres of farmland.
What is a Ratio?A ratio indicates the number of times one number contains another.
Given that, Candice has 88 acres of farmland and she grows beets on 3/4 of the land.
Candice grows beets on 3/4 of 88 acres of farmland,
3/4 of 88
= 3/4×88
= 66
Hence, Candice grows beets on 66 acres of farmland.
To learn more about ratios, click here:
https://brainly.com/question/13419413
#SPJ1
Linda earns $ 617 each week working her full time job.
Her employer has a 15.4% tax deduction on all monies earned each week.
Calculate the tax deduction Linda paid for that week.
Round the answer to the nearest cent.
Answer:
$95.00
Step-by-step explanation:
gross=$617
tax deduction 15.4%
=617×0.154
=$95.00
There are 8 classroom in a particolar
School. The number of student in each classroom
range from 25 to 30, what is the total number
of student in the School?
Answer:
25 times 8 kid its easy then do the answer is greater than or equal to x
Step-by-step explanation:
What are the consecutive numbers that follow the number 686
Answer:
687, 688, 689, 690, ...
Step-by-step explanation:
Each in a list of consecutive integers is 1 more than the previous number. Consecutive integers following 686 are ...
687, 688, 689, 690, ...
Describe how to find conversion factors involving squares.
To find conversion factors involving squares, multiply both sides of the conversion factor by two ° C. To find conversion factors involving squares, square both sides of the conversion factor 0 D. To find conversion factors involving squares, square both sides of the conversion factor and then divide by two
Jckson plans to make an open box with the dimensions shown as a prop for the school play. the dimensions are 5 3.75 and 2.5
Based on the assumption mentioned above, the dimensions of the open box would be:
Length: 5 units
Width: 3.75 units
Height: 2.5 units.
To create an open box as a prop for the school play, Jackson will need three dimensions: length, width, and height. The given dimensions provided are 5, 3.75, and 2.5, but it is not specified which dimension corresponds to which measurement.
To determine which dimension represents which measurement (length, width, or height), we need additional information or clarification. Typically, the length refers to the longest side of the box, the width is the shorter side, and the height is the vertical dimension.
If we assume that 5 represents the length, 3.75 represents the width, and 2.5 represents the height, we can proceed with those dimensions. However, it's important to note that without confirmation or further context, this assumption may not be accurate.
Therefore, based on the assumption mentioned above, the dimensions of the open box would be:
Length: 5 units
Width: 3.75 units
Height: 2.5 units.
for such more question on dimensions
https://brainly.com/question/13847072
#SPJ8
Find the second endpoint of the segment that has an endpoint at (-1, 3) and its midpoint
at (8,-2).
Answer:
(17, -7)
Step-by-step explanation:
you add 9 to the x-value, and subtract 5 from the y-value. If you look closely, you'll see that that's what happens for the first coordinate too. -1+9=8. 3-5=-2. I hope that was helpful for you!
if the ratio of the circumference of the bases of two similar cylinders is 5:9, A) What is the ratio of their heights? B) What is the ratio of their volumes? (write answers in the form 1:2)
Answer:
puntos7332929292 dam
Step-by-step explanation: