Answer:
[tex]\mathsf{y < \dfrac47x-4}[/tex]
Step-by-step explanation:
First, find the equation of the line.
Slope-intercept form of a linear equation: [tex]\mathsf{y=mx+b}[/tex]
(where m is the slope and b is the y-intercept)
From inspection of the graph, the y-intercept is at (0, -4)
Therefore, b = -4
Choose another point on the line, e.g. (7, 0)
Now use the slope formula to find the slope:
[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
where:
[tex]\mathsf{(x_1,y_1)=(0,-4)}[/tex][tex]\mathsf{(x_2,y_2)=(7,0)}[/tex][tex]\implies \mathsf{slope=\dfrac{0-(-4)}{7-0}=\dfrac47}[/tex]
Therefore, the equation of the line is:
[tex]\mathsf{y=\dfrac47x-4}[/tex]
For an inequality, the dashed line means < or > (whereas a solid line means ≤ or ≥)
As the shading is below the line, we need to use <
Therefore, the final inequality is:
[tex]\mathsf{y < \dfrac47x-4}[/tex]
can somone help? ill give brainlist
Answer:
13.99+.75+.75=15.49
Part A ) 15.49
Part B) Anna is correct because her pizza only cost 15.49 and if you subtract 15.49 from 20 it is 14.51
Step-by-step explanation:
Ethan's living room is 11 feet wide and 16 feet long. He wants to put a border around the top of the room. The cost of the border is $1.00 per foot. How much will it cost to buy enough of the border to go around the room?
Is each statement true or false?
Explain your answers
A.
[tex]m \: = x[/tex]
B.
[tex]z \: = x + y[/tex]
C.
[tex]m \: = y + z[/tex]
D.
[tex]m = 180 - x[/tex]
E.
[tex]x = 180 - (y + z)[/tex]
(the triangle is on the image)
Answer:
A, B: False
C, D, E: True
Step-by-step explanation:
The angle sum theorem and the definition of a linear pair of angles can help you answer these questions.
A.m = x; False. Angles m and x are a linear pair. They are supplementary (total 180°). They are only equal if they are both 90°, which is not indicated in this diagram as being the case.
__
B.z = x+y; False. Angles x, y, and z total 180° according to the angle sum theorem. The equation is only true if z = 90°, which is not indicated in this diagram as being the case.
__
C.m = y +z; True. This is explained by the equations of D and E, which are also both true. The theorem that expresses this relationship is, "an exterior angle is equal to the sum of the remote interior angles."
__
D.m = 180° -x; True. This is exactly what we mean when we say angles m and x are a linear pair. Together, they form a straight line. The angles of a linear pair are supplementary, meaning their sum is 180°. Angle m is also called an "external angle" of the triangle.
__
E.x = 180° -(y +z); True. The angles of a triangle total 180° according to the angle sum theorem. That means the value of any one of them is the difference between 180° and the sum of the other two. This is effectively telling you that angle x is supplementary to the sum of angles y and z.
Above, we noted that angle x is supplementary to angle m. Angles that are supplementary to the same angle have the same measure, so ...
m = 180° -x
180° -x = y +z . . . . . rearrange equation E
m = y +z
The human resources department at a large company regularly conducts an employee satisfaction survey. One item on the survey presents employees with the statement, “I am happy overall at work.”
Please help me:)
Answer: C
Step-by-step explanation:
Khan academy
The response that contributed most to the test statistic about human resources department is C. Disagree.
What is test statistic?It should be noted that test statistic simply means a random variable that is used in hypothesis testing.
In this case, the response that contributed most to the test statistic about human resources department is to disagree. This is because there is sufficient evidence to show that they distribution of response is different now than it was before.
Learn more about test statistic on:
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PLS HELP ASAP PLSSS PLSSS FIRST CORRECT ANSWER GETS BRAINLIEST PLS ANSWER
Answer:
√(23)
Step-by-step explanation:
The Pythagorean Theorem is a² + b² = c²
so...
a = 7
b = 3
7² + 3² = c²
14 + 9 = c²
√(23) = c
PLEASE RATE!! I hope this helps!!
If you have any questions let me know
The volume of a right triangular prism is 72 cubic feet. the height of the prism is 9 feet. the triangular base is an isosceles right triangle. a right triangular prism has a volume of 72 cubic feet. triangles a e c and b f d are the base triangles. sides f d and b f are congruent and form a right angle. the height of the prism is 9 feet. what is the area of the triangular base? square feet what is the length of edge df? feet
Answer:
8 square feet
Step-by-step explanation:
The formula of a volume of a prism:
We have
Substitute:
divide both sides by 9
Answer:
8 and 4Step-by-step explanation:
The first one is 8
The second one is 4
Gerard has 365 baseball cards he puts as many of them into piles of 100 how many piles of 100 does he make
The radius of the Earth is approximately 6,370 kilometers. What is the distance in scientific notation?
A.
637 × 10^2 kilometers
B.
6.37 × 10^3 kilometers
C.
637 × 10^1 kilometers
D.
63.7 × 10^2 kilometers
Answer:
it is D 63.7 × 10`2 I am not sure if it right tho
Hey there!
• QUESTION READS….
“The radius of the Earth is approximately 6,370 kilometers. What is the distance in scientific notation?”
• THE QUESTION ASKED IN EASIER WAYS
“The SPACE of Earth is about 6,370 km (kilometers). What is the length of the the Earth in scientific notation?”
• GETTING TO KNOW SCIENTIFIC NOTATION…..
It’s the writing of a number in a certain term of a product of an thing anywhere between the numbers 1 - 10 and the other thing is at the power of the number 10
• ANSWERING THE QUESTION BY DOING PROCESS OF ELIMINATION….
Option A.
637 km × 10^2 kn
= 637 km × 10 km × 10 km
= 637 km × 100 km
= 63,700 km
Option A. is incorrect because it is too big.
Option B.
6.37 km × 10^3 km
= 6.37 km × 10 km × 10 km × 10 km
= 6.37 km × 100 km × 10 km
= 6.37 km × 1,000 km
= 6,370 km
Option B. could possibly be your answer
Option C.
637 km × 10^1 km
= 637 km × 10 km
= 6,370 km
Option C. could also possibly be your answer.
Option D.
63.7 km × 10^2 km
= 63.7 km × 10 km × 10 km
= 63.7 km × 100 km
= 6,370 km
Option D. could also possibly be your answer along with B - C.
This is a tricky answer because we have MORE THAN one result.
So, we will just ELIMINATE A, C, D to make it easier.
Thus, we will say your result is:
Option B. 6.37 × 10^3 kilometers
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
A clock cog rotates 150 degrees in 20 minutes. How far will far will the same cog rotate in 70 minutes
Answer:
525 degrees
Step-by-step explanation:
Brainliest if correct
Answer:
$294.00
Step-by-step explanation:
Whats the gross pay before taxes?
Answer: $294.00 with overtime and everything.
ASAP PLS An angle measures 72.6° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
Step-by-step explanation:
1000 masks were distributed equally among a certain number of people. if there were 5 more people more , each would have received 10 masks less. among how many people was the mask distributed ?find it .
Answer:
10+5 =15 thanks for asking
Pls help me with this
range is the highest minus the lowest
Step-by-step explanation:
so a is 599- 132 = 467
for b median is the middle number 132 and 599
so u add them then divide by 2 so the answer of b is 365.5
Aiden paid 45. 15 to stream three movies. All three movies were the same price. How much did each movie cost
Answer:
Each movie costs $15.05
Step-by-step explanation:
The price that was paid was $45.15
We know that there were 3 movies brought at the same prices.
We want to know how much each movie costs.
This is a simple division problem.
This is because the keywords "same" and also "each"
Do 45.15 divided by 3
45.15/3 = 15.05
Your answer is $15.05
You could verify by adding $15.05 three times.
$15.05 + $15.05 + $15.05 = $45.15
Therefore, Each movie costs $15.05
Complete the table.
Milkshakes Cost
Answer:
3 milkshakes will cost 0.75 cents
4 milkshakes will cost $1.00
Step-by-step explanation:
3 x 0.25 = 0.75
4 x 0.25 = 1.00
Have an amazing day!!
Please rate and mark brainliest!!
5. A rectangle has an area of 16 cm². Do you know its length?
Answer:
144 [tex]cm^2[/tex]
Step-by-step explanation:
Answer:the answer were to your question is 4
Step-by-step explanation:
Put me on brainlyiest pls
if i am 57 years old and i have known someone for 6 and a half years what percentage of my life have i known that person
Answer: 11.4%
Step-by-step explanation:
100% of your life is 57 years
?% will be 6.5 years?
this is a simple ratio problem:
57 --> 100%
6.5 ---> (6.5 x 100)/57 ≅ 11.4%
You have known the person for about 11.4% of your life.
A spinner is divided into 4 sections using the latters A, B, C, and D. After 50 trials, the spinner landed on A 14 times, on B 13 times, and on D 16 times. If the spinner is spun again, what is the theoretical probability that it does not land on D? (Enter your answer in fraction form)
Answer:
17/25
Step-by-step explanation:
P(not red)=Number of Skittles Not Red/Total Number of Skittles
can some help me out with this EXTRA POINTS!!
Answer: ≈ 185.73009
Step-by-step explanation:
area of square: [tex]length^{2}[/tex]
area of circle: [tex]\frac{radius^{2} * \pi }{y}[/tex]
length: 15
radius = diameter/2
radius: 5
area of square - area of circle = area between square and circle:
[tex]15^{2} - \frac{5^{2} * \pi }{2} = 225 - \frac{25\pi}{2}[/tex] ≈ 185.73009
hope it helps!
Please mark as brainliest.
The sixth-grade students at Madison Middle School had a walkathon to raise money for their
local hospital. Their principal tracked how much money each student raised. This box plot
shows the results.
Money raised ($)
20
40
60
80
100
120
What percent of the students raised more than $40?
%
50% of the sixth-grade students at Madison Middle School raised more than $40
What is a box plot?A box plot provides the summary of a data using the five number summary that is minimum, lower quartile, median, upper quartile and maximum.
From the diagram, the median is $40. Hence 50% of the student raised more than $40
Find out more on box plot at: https://brainly.com/question/14277132
Give an example of dimensions of a pyramid that would result in a volume of 36 cubic units.
Answer:
Step-by-step explanation:
Dimensions: 1 x 1 x 36 or 12 x 3 x 1 or 9 x 4 x 1 or 9 x 2 x 2
The dimensions of a pyramid are usually described in terms of its base and height. The base of a pyramid is the polygonal shape at the bottom of the pyramid, and the height is the perpendicular distance from the base to the apex.
How to find the dimensions of a pyramid?To find the dimensions of a pyramid with a volume of 36 cubic units, we need to use the formula for the volume of a pyramid:
Volume of a pyramid = (1/3) x Base area x Height
Let's assume that the base of the pyramid is a square with sides of length "a". Therefore, the base area of the pyramid is a x a = a^2.
Now, we can substitute the given volume of 36 cubic units into the formula:
36 = (1/3) x a^2 x h
Multiplying both sides by 3 and dividing by a^2, we get:
h = 108/a^2
So, the height of the pyramid is equal to 108 divided by the square of the length of one side of the base.
We can choose any value for "a" and calculate the corresponding value of "h" that will result in a volume of 36 cubic units.
For example, if we choose "a" to be 3 units, we get:
h = 108/3^2 = 12 units
Therefore, the dimensions of the pyramid are:
Base: 3 units x 3 units
Height: 12 units
Checking the volume using the formula, we get:
Volume of the pyramid = (1/3) x 3^2 x 12
Volume of the pyramid = 36 cubic units
So, a pyramid with a base of 3 units by 3 units and a height of 12 units would have a volume of 36 cubic units.
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Heather has a rectangular yard. She measures it and finds out it is 24 1/2 feet long by 12 4/5 feet wide. She wants to know how many square feet of sod she will need to completely cover the yard. a. Draw the yard, and label the measurements. b. How much sod will Heather need to cover the yard? Show your work and/ or explain your reasoning.
Answer:
313.6 sqft.
Step-by-step explanation
Decimal
First, convert the fractions into decimals to make it easier to multiply. 24 1/2 = 24.5. 12 4/5 = 12.8. 24.5*12.8 = 316.6.
Fraction
First, make the fractions into improper fractions. 24 1/2 = 49/2. = 12 4/5 = 64/5. 49/2*64/5 = 313 3/5 = 313 6/10 = 313.6.
CAN SOMEONE PLEASE HELP
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Here's the solution ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{2 {}^{n} - 1}{ {4}^{n} - 1} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{2 {}^{n} - 1}{ {( {2}^{2}) }^{n} - 1} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{2 {}^{n} - 1}{ {( {2}^{n}) }^{2} - 1} [/tex]
Now we will use this identity in denominator
[ a² - b² = (a + b)(a - b) ]
[tex]\qquad \sf \dashrightarrow \: \dfrac{ \cancel{(2 {}^{n} - 1)}}{ {( {2}^{n} }^{} + 1) \cancel{( {2}^{n} - 1)}} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{ 1}{ {( {2}^{n} }^{} + 1) } [/tex]
Answer:
[tex]\sf \dfrac{1}{2^n+1}[/tex]
Step-by-step explanation:
Given expression:
[tex]\sf \dfrac{2^n-1}{4^n-1}[/tex]
Rewrite [tex]\sf 4^n[/tex]: [tex]\sf 4^n=(2^2)^n=2^{2n}=(2^n)^2[/tex]
Rewrite 1: 1 = 1²
[tex]\sf \implies \dfrac{2^n-1}{(2^n)^2-1^2}[/tex]
Apply difference of two square formula to the denominator
[tex]\sf a^2-b^2=(a+b)(a-b)[/tex]
[tex]\sf \implies \dfrac{2^n-1}{(2^n+1)(2^n-1)}[/tex]
Cancel out the common factor [tex]\sf 2^n-1[/tex] :
[tex]\sf \implies \dfrac{1}{2^n+1}[/tex]
Ram is 3 years younger than Shyam and Krishna is 5 years older than Shyam . If the product of percentages of Ram and Krishna is 48, How old is Shyam?
Answer:
Shyam would be 43 years old
Step-by-step explanation:
Ram is 49 years old, since she is 3 years younger than Shyam and Krishna is 48 years old than Shyam
Please help me with this please and thank you
if the circumference of a circle is 4πrcm, find diameter
Answer:
1.274cm
Step-by-step explanation:
What are the coordinates of the vertex of the function f(x)=x2 10x−3?
Answer:
A. (-5, -28)
Step-by-step explanation:
The coordinates of the vertex of the function [tex]\rm f(x) = x^2+10x-3[/tex] is
(-5, -28).
It is given that the function [tex]\rm f(x) = x^2+10x-3[/tex]
It is required to find the coordinates of the vertex.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have a function:
[tex]\rm f(x) = x^2+10x-3[/tex]
This function represents a parabola.
We know the standard form of parabola in quadratic style:
[tex]\rm f(x)=ax^2+bx+c[/tex]
By comparing the given function to the standard form of parabola, we get
a = 1, b = 10, and c = -3
The vertex of the parabola is given by:
[tex]\rm x = -\frac{b}{2a}[/tex]
Putting the values in the above equation, we get:
[tex]\rm x = -\frac{10}{2\times1} \Rightarrow -5[/tex]
x = -5 put this value in the given parabola function, we get:
[tex]\rm f(-5) = (-5)^2+10(-5)-3\\\rm f(-5) = 25-50-3\\\rm f(-5) = -28[/tex]
or y = -28
The coordintes = (x, y) : (-5 , -28) which is shown in the graph.
Thus, the coordinates of the vertex of the function [tex]\rm f(x) = x^2+10x-3[/tex] is (-5, -28).
Know more about the parabola here:
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Which of these numbers is a solution of the inequality 3x>18?
Let's solve this inequality:-
3x<18
Divide both sides by 3:-
x<6
So numbers less than 6 will make this inequality [tex]\sf{true}[/tex].
notes:-You haven't listed any numbers, so I don't know what options you have,
Please list the numbers in the comments & I will edit my answer :)
Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)
Answer:
The possible answers are all numbers above 6.
Step-by-step explanation:
3x>18
3x/3> 18/3
x> 6
A triangle has two sides of length 19 and 15. What is the largest possible whole-number length for the third side?
Answer: 33
To maximize the length of the third side, which I'll call x, it needs to be the longest side.
So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.
Find the value of 9u-2 given that -7u-7=7 ?
Answer:
-20
Step-by-step explanation:
when you solve: -7u-7=7, you get u= -2 and when you plug it in you get this equation 9(-2)-2=?
then you get -20
Hey there!
-7u - 7 = 7
ADD 7 to BOTH SIDES
-7u - 7 + 7 = 7 + 7
CANCEL out: -7 + 7 because it give you 0
KEEPs 7 + 7 because it help solve for the u-value
NEW EQUATION: -7u = 7 + 7
SIMPLIFY IT!
-7u = 14
DIVIDE -7 to BOTH SIDES
-7u/-7 = 14/-7
CANCEL out: -7/-7 because it give you 0
KEEP: 14/-7 because it give you the
u-value
NEW EQUATION: u = 14/-7
SIMPLIFY IT!
u = -2
SOLVING FOR : 9u - 2
9u - 2
= 9(-2) - 2
= -18 - 2
= -20
Therefore, your answer is: -20
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)