The slope represents the rate of change. Then the rate of change will be 4.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
y = 4x + 60
The slope is 4 and the y-intercept is 60.
The slope represents the rate of change. Then the rate of change will be 4.
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The rate of change in the equation y = 4x + 60 is 4, which is the coefficient of x. This means for each unit increase in 'x', 'y' will increase by 4 units.
Explanation:In mathematics, the rate of change in an equation like y = 4x + 60 is represented by the coefficient of the variable x. This is because, in such an equation which is in the form of y = mx + b (a standard linear equation), 'm' represents the rate of change or the slope of the line.
So, in your specific equation y = 4x + 60, the rate of change or slope is 4. This means that for each increment of 1 in 'x', 'y' will increase by 4 units. This value - 4 - is your rate of change in this case.
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What is the product of (-a+3)(a+4)?
a^2-a+12
a^2-a-12
-a^2-a-12
-a^2-a+12
Answer:
-a^2 + -a + 12
Step-by-step explanation:
Expand the following:
(3 - a) (a + 4)
(3 - a) (a + 4) = (3) (a) + (3) (4) + (-a) (a) + (-a) (4):
-a a + 3 a - 4 a + 3 4
3×4 = 12:
-a a + 3 a - 4 a + 12
-a a = -a^2:
-a^2 + 3 a - 4 a + 12
Grouping like terms, -a^2 + 3 a + 4 (-1) a + 12 = -a^2 + (3 a - 4 a) + 12:
-a^2 + (3 a - 4 a) + 12
3 a - 4 a = -a:
Answer: -a^2 + -a + 12
Answer:
[tex] - a {}^{ 2} - a + 12[/tex]
30PTs PLZ HelpASAP
10)
The inequality x < 5.4 represents the possible values for x on a number line.
Which is a possible value for x?
A) −4.5
B) 5.8
C) 6.5
D) 7.2
A community garden center hosts a plant giveaway every spring to help community members start their gardens. Last year, the giveaway supported 50 families by giving away 150 plants. Based on this ratio, how many plants will the center give away this year in order to support 65 families.
Answer:65:195
Step-by-step explanation:
50:150
According to what I know you must turn this into a fraction.
150/50
Now that you have a fraction you must divide because the fraction bar means division.
150÷50=3
Each family got 3 plants
65×3=195
195 plants for 65 families
65:195
Answer: 65:195
Step-by-step explanation:
A= {1,3,5,7,9} B={2,4,6,8,10} C={1,5,6,7,9} AUB=
Answer:
Step-by-step explanation:
What the heck is that more info please
of the measure of one exterior angle of a regular polygon is 40 degrees, how many sides does the polygon have?
Answer:
9 sides
Step-by-step explanation:
Since the interior angle 140 degrees, the supplement of this is the exterior angle and equal to 40 degrees. Hence the number of sides is 360/40 = 9 sides.
Simplify a and b:
a) 6x - 5y = 10x + 7
b) -4 +(-3) -(-9)
Plz hurry ⁉️♀️
a) 6x - 5y = 10x + 7 SOLVING FOR X:
6x-5y=10x+7
−5y=10x+7−6x
−5y=4x+7
−5y−7=4x next divide both sides by four and switch sides
[tex]\frac{-5y-7}{4} =x[/tex]
[tex]x=\frac{-5y-7}{4}[/tex]
a) 6x - 5y = 10x + 7 SOLVING FOR Y:
6x-5y=10x+7
−5y=10x+7−6x then simplify
−5y=4x+7, now divide both sides by negative five
[tex]y=\frac{4x+7}{5}[/tex]
b) -4 +(-3) -(-9)
-4+(-3)-(-9) Remove parentheses and simplify.
−4−3+9=−7+9=2
Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! :-)
- Cutiepatutie ☺❀❤
This pyramid has the same base as the prism and its height is three times the height of the prism. What is the ratio of the volume of the
pyramid to the volume of the prism?
1
A} volume of Pyramid
volume of priam
B} volume of pyramid
volume of priuam
C} volume of pyramid
volume of priim
D} Volume of pyramid
volume of priem
The ratio of the volume of the pyramid to the volume of the prism is 1:1
Volume of pyramid and prism
The formula for calculating the volume of a pyramid is expressed as;
V = 1/3 BH
The formula for calculating the volume of prism is expressed as:
V = Bh
where
B is the base area
H is the height
If the height of pyramid is three times the height of the prism, the volume of pyramis will be:
V = 1/3B * 3h
Take the ratio of their volumes
Vp/Vr = 3Bh/3Bh
Vp/Vr = 1 : 1
Hence the ratio of the volume of the pyramid to the volume of the prism is 1:1
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What are the five spheres
I need help please help
Answer:
[6, 18]
Step-by-step explanation:
the first matrix has the dimensions 1 x 2 (1 row, 2 columns). The send has the dimensions 2 x 2. Because of this it is possible to do matrix multiplication and the result will be a 1 x 2 matrix.
Multiply the column -2, 7 by the row 4, 2:
We get (-2)(4) + (7)(2), which simplfies to 6. This is the first element of the 1 x 2 product.
Multiply the column 5, -1 by the row 4, 2: We get (5)(4) + (-1)(2), or 18.
The fourth answer choice is the correct one: [6, 18]
according to a recipe, 9/20 oz, of sugar is needed to make 6 cookies. Ashley decided to use only a third of the sugar to make it healthier. how much sugar did Ashley use?
Answer:
The amount of sugar actually used by Ashley to bake 6 cookies is 0.15 oz
Step-by-step explanation:
The amount of sugar needed to make 6 cookies = (9/20) oz
So, the total amount of sugar to be used = (9/20) oz
Let us assume the sugar actually used by Ashley = M oz
Also, given:
Sugar Used = One third of SUGAR NEEDED
[tex]\implies M = (\frac{1}{3}) \times (\frac{9}{20})[/tex]
= [tex](\frac{3}{20} )[/tex] = 0.15 oz
or M = 0.15 oz
Hence, the amount of sugar actually used by Ashley to bake 6 cookies is 0.15 oz.
simplify 4(x−1)−3(2x−5)
Answer:
-2x+11
Step-by-step explanation:
multiply both terms by using the distributive property
It will be: 4x-4-6x+15
add like terms and the equation becomes
-2x+11
Answer:
-2x +11
Step-by-step explanation:
4(x−1)−3(2x−5)
Distribute
4x -4 -6x +15
Combine like terms
4x-6x -4 +15
-2x +11
Which statement is false and why
Answer: option 2
Step-by-step explanation:
From the pie chart, Christiana spends over 60% of her time on working and sleeping
Also, Christiana spends half of her time on sleep, chores and other activities .
Answer: 2 is false.
Step-by-step explanation:
Christina spends exactly a quarter of her time on chores and hobbies.
(-5.6x + 1.3) = -1 - x.
Answer: X= 0.5
Step-by-step explanation:
(-5.6x+1.3)=-1-x
+5.6x +5,6x
1.3=-1+4.6x
+1 +1
2.3=4.6x
divide by 4.6 to get x by itself
2.3/4.6 = x
x=0.5
please mark brainliest!
Answer
x=1/2
Step-by-step explanation:
open the parenthesis to get -5.6x+1.3=-1-x
move the variable to the left and numbers to the right
-4.6x=-2.3
now solve by dividing 2.3 by -4.6
you get x=1/2
one large bag of takis cost $3.50 how many bags would you buy with $21.00?
Answer:
6
Step-by-step explanation:
21 divided by 3.50 is 6.
Answer:
6 bags of takis
Step-by-step explanation:
$21.00 / $3.50 = 6
Think about the following sentence from the paragraph:
"Although a mouse is still a rodent and cookies are still delicious, these words have developed new meanings related to the information age."
Which statement best describes the purpose of this sentence?
A) The sentence introduces readers to the paragraph's main idea.
B) The sentence summarizes language changes caused by technology.
C) The sentence helps readers transition to a completely new idea.
D) The sentence warns readers about negative influences of technology.
Answer:
A) The sentence introduces readers to the paragraphs main idea.
Step-by-step explanation:
It does not talk about technology, it is not a new idea, and it is not saying anything negative.
Answer:
B
Step-by-step explanation:
I just got it right :)
formula to find the following problem
what is the next number in the series 131 118 105 92 79
is every natural number a rational number.
Is every rational number a natural number.
Is every natural number a real number.
Is every real number a natural number.
All irrational numbers are real numbers.
btw these are True or false questions
Final answer:
Every natural number is a rational number and a real number, but not every rational or real number is a natural number. Also, all irrational numbers are indeed real numbers.
Explanation:
Let's address the statements about numbers and their classifications to determine if they are true or false:
Every natural number is a rational number. - True
Every rational number is a natural number. - False, rational numbers include fractions and negative numbers which are not natural numbers.
Every natural number is a real number. - TrueEvery real number is a natural number. - False, real numbers include rational and irrational numbers, so not all are natural.All irrational numbers are real numbers. - TrueThe corrected statements are:
Some rational numbers are not natural numbers; they can be fractions or negative numbers.Not all real numbers are natural numbers; real numbers encompass both rational and irrational numbers, whereas natural numbers are only the positive integers (1, 2, 3, ...).How do you graph y=4x-3
The graph of the line y=4x-3 is attached below.
What is a graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
If we know that the function crosses x-axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
The function is given as y=4x-3
Here the point (0,-3) lies on the line because -3 is the y-intercept(b) in the equation y=mx+b.
Next, we would plot the next point 4 units up and to the right once because 4/1 is rise/run and equal to m in the equation.
Therefore, the graph of the line is attached below.
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a player purchased 4 jerseys for a total of $79.96. write an equation that can be used to find the cost of each jersey,n,in dollars
cost of each jersey is $19.99 .
Step-by-step explanation:
Here we have , a player purchased 4 jerseys for a total of $79.96. We need to write an equation that can be used to find the cost of each jersey,n,in dollars .Let's write it :
Assume that price of one jersey is $x , so price of 4 jersey's is 4($x) = $4x . But , according to question value of 4 jersey's is $79.96 i.e.
⇒ [tex]4x = 79.96[/tex]
⇒ [tex]\frac{4}{4}x = \frac{79.96}{4}[/tex]
⇒ [tex]x = 19.99[/tex]
Therefore , cost of each jersey is $19.99 .
A large cheese pizza costs $7.50. Diego has $40 to spend on pizzas. How many large cheese pizzas can he afford? Explain or show your reasoning.
Answer:
5 pizzas
Step-by-step explanation:
He will have $2.50 left over after he buys the 5 pizzas. Hope this helps! Brainliest is appriciated.
Answer: 2.50
Step-by-step explanation:
Twice the number of a number 9 is 6
Answer:
number = 1/3
Step-by-step explanation:
let the required number = x
according to the given conditions
2 * x * 9 = 6
18x = 6
x = 6/18 = 1/3
Determine which functions have two real number zeros by calculating the discriminant, b2 - 4ac. Check all that
apply
f(x) = x2 + 6x + 8
g(x) = x2 + 4x + 8
h(x) = x2 - 12x + 32
k(x) = x2 + 4x - 1
p(x) = 5x2 + 5x + 4
t(x) = x2 - 2x - 15
Answer:
A, C, D, F
Step-by-step explanation:
Just did it on Ed
Would you mind giving me the brainliest?
what is the positive square root of 100
Answer:
10.
Step-by-step explanation:
10 because 10 * 10 = 100.
There us also a negative square root -10.
Answer:
10
Step-by-step explanation:
Which of the following is the best definition of a complex number?
Answer:
complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, that satisfies the equation i2 = −1.
Step-by-step explanation:
Hey can someone please help 15 points
Answer:
See attachment (red rectangle)
Step-by-step explanation:
Since the upper left is at (-4,4) and upper-right is at (4,4)
The length of the rectangle is
[tex]l = |4 - - 4| = 8[/tex]
Since the perimeter is 20, we have:
[tex]20 = 2(8 + w)[/tex]
[tex]10 = 8 + w[/tex]
[tex]w = 2[/tex]
Therefore we need to draw a rectangle with dimension 8 by 2
An art exhibit is made by stacking three identical prisms on top of each other end-to-end so their smallest faces overlap. One of the prisms is shown here.
Find the surface area of the total exhibit.
The surface area of the exhibit is 1,638 cubic inches.
Step-by-step explanation:
Step 1:
If three prisms are out on top of each other we get a shape as follows;
The length of the base [tex]= 9[/tex] inches,
The width of the base [tex]=6[/tex] inches, and
The height of the exhibit [tex]= 3(17) = 51[/tex] inches.
To find the surface area of the total exhibit we consider there to be only one shape which the above dimension.
Step 2:
There are 6 faces to the exhibit.
The surface area of a rectangular prism is given by;
[tex]A=2(w l+h l+h w)[/tex]
By substituting the values, we get
[tex]A=2((6)(9)+(51) (9)+(51) (6)) = 2 (819) = 1,638.[/tex]
The surface area of the exhibit is 1,638 cubic inches.
What value does the red dot represent on the number line?
The red dot on the number line represents the value [tex]\(\frac{4}{5}\)[/tex], corresponding to option C.
In a fraction, the numerator (4) denotes the number of parts considered, while the denominator (5) indicates the total number of equal parts in one whole.
Thus, [tex]\(\frac{4}{5}\)[/tex] signifies four parts out of five, placing the red dot closer to the whole number 1 but not reaching it.
This representation aligns with the fraction's numerical value, emphasizing the position of the red dot on the number line and its fractional significance in relation to the unit interval.
Hence, the correct answer is Option C. 4/5
Determining the value of the red dot requires analyzing its position on the number line relative to specific landmarks and measurements provided; however, without the visual of the number line, a precise answer cannot be given.
Explanation:The value of the red dot on the number line can be determined based on its position relative to the given reference points. The various descriptions of dots' positions involve a comparison to Car X and Car Y figures, as well as precise measurements in terms of perpendicular hash marks on a graph. To ascertain the value that the red dot represents, we must closely examine its placement on the number line in comparison to these references. However, it's crucial to have a visual representation of the number line to provide an accurate value. The mentioned descriptions such as 'the third dot is about one and two-thirds perpendicular hash marks to the right of the center top perpendicular hash mark' indicate the need to understand measuring units and relative positioning on the number line.
Jenna has a spool that contains 5 and 3/4 meters of ribbon. She uses 3 and 2/4 meters for a school project and 1 and 1/4 meters for a bow. How much ribbon remains on the spool?
Answer:
It will be 1 0/4
Step-by-step explanation:
The 4 stays the same because its the denominater.
After using some of her ribbon for a project and a bow, Jenna has 1 meter of ribbon left on the spool.
Jenna has a spool that contains 5 and 3/4 meters of ribbon. She uses 3 and 2/4 meters for a school project and 1 and 1/4 meters for a bow. To find out how much ribbon remains on the spool, we need to subtract the total amount of ribbon used from the initial amount.
First, let's simplify the fractions. 3 and 2/4 meters can be simplified to 3 and 1/2 meters because 2/4 is equivalent to 1/2.
Next, we add the lengths of ribbon used for the project and the bow together: 3 and 1/2 meters + 1 and 1/4 meters = 4 and 3/4 meters.
Finally, we subtract this amount from the total amount of ribbon Jenna had: 5 and 3/4 meters - 4 and 3/4 meters = 1 meter.
Therefore, after using ribbon for a school project and a bow, Jenna has 1 meter of ribbon left on the spool.
I will mark brainliest if correct please answer fast
Answer: 264 cm^2
Step-by-step explanation:
22*6.5+22*5.5=22*12=264
The area of the given figure 156.75 sq cm.
Step-by-step explanation:
Here,
The figure is a trapezium.
In this trapezium
a = 22 cm
b = 6.5 cm
A and b are the length of two parallel sides.
Height (h) = 5.5 cm
To find the area of the figure which is consists of two trapezium
Formula
Area of the trapezium = [tex]\frac{1}{2} (a+b)h[/tex]
Now,
The area of one trapezium = [tex]\frac{1}{2} (22+6.5)X5.5[/tex] sq cm
= 78.375 sq cm
So,
The area of the figure = 78.375×2 sq cm = 156.75 sq cm
Big Al’s Steak House and Trail’s End both claim to have the shortest wait times in town. To check out the claims, Ramon, a restaurant reviewer, records the time it takes to be seated without reservations. The results of wait times for 8 visits to each restaurant are shown in the table.
Big Al's Steak house wait times: 5 13 22 7 20 21 20 12
Trail's End wait times: 11 19 14 14 15 20 10 17
A)Describe the populations and samples for this problem.
B)Calculate the mean wait time for each of the two restaurants.
Answer:
a)For this case we are interested on two populations, one is the Big Al's Steak house wait times and the other represent the Trail's End wait times. And we don't know the information about the population but we have two samples of size n =8 described by:
Big Al's Steak house wait times: 5 13 22 7 20 21 20 12
Trail's End wait times: 11 19 14 14 15 20 10 17
b) [tex] \bar X_{BigAl. Hou}= 15[/tex]
[tex] \bar X_{Trial End Wait}= 15[/tex]
Step-by-step explanation:
Part a
For this case we are interested on two populations, one is the Big Al's Steak house wait times and the other represent the Trail's End wait times. And we don't know the information about the population but we have two samples of size n =8 described by:
Big Al's Steak house wait times: 5 13 22 7 20 21 20 12
Trail's End wait times: 11 19 14 14 15 20 10 17
Part b
For this case we can calculate the mean with the following formula:
[tex] \bar X = \frac{\sum_{i=1}^n X_i}{n}[/tex]
And replacing we got:
[tex] \bar X_{BigAl. Hou}= 15[/tex]
[tex] \bar X_{Trial End Wait}= 15[/tex]