The choice that can be used to find the expression (three times the number increased by six is twenty-four) is (C) 3m + 6 = 24.
What are expressions?A group of numbers or variables combined with the operations +, -,×, or ÷ form an expression. Algebraic expressions with variables, numbers, and mathematical operators, as opposed to arithmetic expressions that only contain numbers and mathematical operators.So, three times the number increased by six is twenty-four:
The equation can be: 3x + 6 = 24Which is similar to the option (C) that is 3m + 6 = 24.Therefore, the choice that can be used to find the expression (three times the number increased by six is twenty-four) is (C) 3m + 6 = 24.
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The correct question is given below:
Grace is thinking of a number. She states that three times the number increased by six is twenty-four. Which choice can be used to find
(A) 3(2-6) = 24
(B)3-6=24
(C) 3m + 6 = 24
(D) 9x2=18+6=2
What is the greatest number of sweets that
can be bought with $2 if each sweet costs
30 cents?
Answer:
6 sweets
Step-by-step explanation:
add 30 until you are going over
how many hours are in 2400 minutes (with division answer plsss)
Answer:
40
Step-by-step explanation:
2400 divided by 60 is 40
I hope this helps!
What type of linear equation is X +1 equals X +1?
X+1 depicts horizontal linear equation as x = -1 and slope = 0.
Given that the slope is 0, it shows a horizontal linear equation.
Every point on a horizontal line has the same y-coordinate.
If two points have the same y coordinate, b, then the line's equation is y=b.
The y-intercept of the horizontal line y=b is the point (0,b). The line y=0 is the only x-intercept for horizontal lines.
Horizontal lines have zero slope.
As a result, in the slope-intercept equation y = mx + b, m = 0. The equation is Y = b, where b is the y-coordinate of the y-intercept.
A line that is perpendicular to the x-axis is referred to as a horizontal line.
The graph of a relation of the form x = 5 is a line parallel to the origin since the value of x never changes.
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An architect makes a model of a new house. The model shows a tile patio in the backyard. In the model, each tile has
1/4
length in. and width 1/6 in. The actual tiles have length 1/6 ft and width 1/9 ft. What is the ratio of the length of a tile in the
model to the length of an actual tile? What is the ratio of the area of a tile in the model to the area of an actual tile? Use
pencil and paper. Describe two ways to find each ratio.
The ratio is 1:8 and 1:64
Since each tile is one sixth of an inch in width and one fourth of an inch in length.
That is L1= 1/4 in addition to W1= 1/6 inches.
The real tiles are one sixth of a foot long and one tenth of a foot wide.
Since 1 foot equals 12 inches, that is in inches and inches. that is L2=2 and W2= 4/3
So, the length of the tile divided by its real length is equal to L1/L2
=(1/4)/2= 1/8
In addition, the relationship between the area of the tile in the model and the real area is given by:
(1/4 x 1/6)/ 2 x 4/3
= 1/64
Second method
Since there is a 1/8 ratio between the width of the model's tiles and their real width
As a result, there is dilatation with a scale factor of 1/8.
By virtue of dilatation, their area ratio = (1/8)^2 =1/64.
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Please I need help and show answer
Need help solving this question
Given the point:
(-1, 4)
Let's find the equation of the line that passes through the point and is perpendicular to the line x = -4.
Here, the given line x = -4 is a vertical line that is always at x = -4.
The slope of a vertical line is undefined.
Since x = -4 is a vertical line it means the slope is undefined.
The slope of a line perpendicular to a vertical line is always zero.
Also, the line perpendicular to a vertical line must be a horizontal line.
Therefore, since the perpendincular line passes the point (-1, 4), it means the line will be:
y = 4
hereforem, the equation of the line that passes through the point (-1, 4) and is perpendicular to the line x = -4 is:
y = 4
ANSWER:
y = 4
What is the precise definition of a limit in calculus?
Step 1
Given; What is the precise definition of a limit in calculus?
The required definition is;
Answer;
Let f be a function defined on some open interval containing a (except possibly at a).
Then the limit as x approaches a of f is L written as;
[tex]\lim_{x\to a}f(x)=L[/tex]if and only if
what is the equation of the line that passes through the point (6,-5) and has a slope of -1/6
The equation of the line that passes through the point (6,-5) and has a slope of -1/6 is y = (-1/6)x - 4.
We know that, the slope intercept form of a line is given by:-
y = mx + c
Where,
m represents the slope of the line,
c represents the y -intercept and,
(x,y) represent the coordinates of each of the ordered pairs in the line
Hence, we can write,
m = -1/6
One of the ordered pairs, (x,y) is (6,-5).
Hence, we can write,
-5 = (-1/6)*6 + c
-5 = -1 + c
c = -5 + 1
c = - 4
Hence, the equation of the line is given by:-
y = (-1/6)x - 4
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The graph of f(x)=6.5x is reflected about the y -axis and stretched vertically by a factor of 7 . What is the equation of the new function, g(x) ? State its y -intercept, domain, and range.
When the function f is transformed to g, the equation is -45.5x
The domain is -∝ < x < ∝The range is -∝ < y < ∝The y-intercept = 0How to determine the equation of function g?The equation of function f is given as
f(x) = 6.5x
The transformation is given as
Reflection about the y-axisVertical stretch by a factor of 7The above transformation rule can be represented as
(x, y) = (-x, 7y)
When the above rule is applied, we have the following equation
g(x) = -7f(-x)
So, we have
g(x) = -7 * 6.5x
Evaluate
g(x) = -45.5x
The above equation is a linear function
So, the domain and the range are the set of all real values and the y-intercept is 0
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Use the multiplier method to increase 88 by 14%
You must show your working.
Answer:
100.32
Step-by-step explanation:
You want 88 increased by 14% using the multiplier method.
MultiplierThe multiplier used to increase an amount by some fraction (p) of that amount is (1 +p). Here, the fraction is 14%, or 0.14. That means the multiplier is ...
multiplier = 1 +p
multiplier = 1 +0.14 = 1.14
The increased amount is then ...
88 × 1.14 = 100.32 . . . . . . . 88 increased by 14%
__
The actual work is done by a calculator, as shown in the attachment.
A bond with a face value of $5,000 has a current yield of 7% and a coupon rate of 8%, what is the bonds yield?
Using it's formula, it is found that the bond's yield with a face value of $5,000, yield of 7% and rate of 8%, is of 7.48%.
How to calculate the bond's yield?The bond's yield is given according to the following formula:
Yield = Annual Coupon Payment/Bond Price
These values are calculated considering the face value, the current yield and the coupon rate, all parameters which are given in this problem.
The Annual Coupon Payment is given by the multiplication of the face value and the Coupon Rate, hence:
Annual Coupon Payment = 5000 x 0.08 = $400.
The bond price is the given by the multiplication of the face value and 100% plus the yield, hence:
Bond Price = 5000 x 1.07 = $5350.
Then the bond's yield is given as follows, applying the formula:
Yield = 400/5350 = 0.0748 = 7.48%.
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A study of the squirrel population in Center City Park showed that, on average, the squirrels live to be 6.5
years old. The lifespans of the squirrels may vary by as much as 1 year. What is the range of ages (in years)
to which the squirrels live?
The most appropriate choice for linear inequation will be given by-
The range of ages to which the squirrels live is 5 to 8 years
What is Linear Inequation?
Linear Inequation involves comparision between two values with the help of <, >, [tex]\leq , \geq[/tex]
.
Here,
Let the range of ages (in years) to which the squirrels live be [tex]x[/tex] years
The lifespans of the squirrels may vary by as much as 1 year.
By the problem,
[tex]|x - 6.5|\leq 1.5\\-1.5 \leq x - 6.5 \leq 1.5\\x - 6.5\geq -1.5[/tex]and [tex]x-6.5\leq 1.5[/tex]
[tex]x \geq 6.5-1.5[/tex] and [tex]x \leq 6.5 + 1.5\\[/tex]
[tex]x \geq 5[/tex] and [tex]x \leq 8[/tex]
The range of ages to which the squirrels live is 5 to 8 years
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write an equation of the line passing through the point (-20, 4) that is perpendicular to the line 2x+5y=10
Equation of the line passing through the point of (-20, 4) and perpendicular to the line [(2x + 5y) = 10] will be [2y = (5x + 108)].
As per the question statement, a line passes through the point of (-20, 4) and is perpendicular to the line [(2x + 5y) = 10].
We are required to determine the equation of the above-mentioned line.
To solve this question, we need to know about the formula to express the point-slope form of a line, which goes as, [(y - y₁) = m(x - x₁)],
where (x₁, y₁) is a point through which the line passes, and "m" is the slope of the line.
Also, we need to know about the mathematical fact that, the product of the slopes of two perpendicular lines equate to (-1), i.e., if (m₁ and m₂) are the slopes of two perpendicular lines, then [(m₁ * m₂) = (-1)].
Converting [(2x + 5y) = 10] into the point-slope form of line, we get,
(2x + 5y) = 10
or, [5y = {(-2x) + 10}]
or, [y = {(-2/5)x + 2}]
Therefore, Slope of the line [(2x + 5y) = 10] is (-2/5).
Hence, slope of the line perpendicular to [(2x + 5y) = 10] is [-1/(-2/5)], i.e.,
Slope of the line perpendicular to [(2x + 5y) = 10] is (5/2).
Now, using [m = (5/2)] and (x₁, y₁) as (-20, 4), equation of the line will be
[(y - 4) = (5/2){x - (-20)}]
or, [(y - 4) = (5/2)(x + 20)]
or, [(y - 4) = (5/2x) + 50]
or, [2(y - 4) = 5x + 100]
or, [(2y - 8) = (5x + 100)]
or, [2y = (5x + 108)]
Equation of a Line: The equation of line is an algebraic form of representation of the set of points, which together form a line in the cartesian coordinate system, as a set of variables x, y to form an algebraic equation, which is referred to as an equation of a line.To learn more about Equation of a Line, click on the link below.
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Write an
equation in standard form for the line that passes through the given points.
(6, - 6) and (6, -4)
Answer:
x = 6
Step-by-step explanation:
(6, -6), (6, -4)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ -4 - (-6) -4 + 6 2
m = ------------ = ------------ = ------------ = ------- = undefined
x₂ - x₁ 6 - 6 0 0
x = 6
I hope this helps!
IS the problem a function or no
Answer:
I think it is a function???
Step-by-step explanation:
Because a graph represents a function if it impossible to draw a vertical line that intersects the graph more than once.
I'm not sure if I'm correct, let me know please.
You need to purchase supplies for the trip. You have $1000 to spend.
Oxen: $40 each
Food: $0.20 per lb
Clothing: $10 per set.
Matt also charges 7% tax
Purchase at least 2 oxen, 500lbs of food, and 5 sets of clothing. You may want to purchase more.
Select the amount of items and find the total cost including tax.
The total cost of purchasing the minimum quantities for the trip, including sales tax of 7% is $246.10, while you can buy 4 times more.
What is a sales tax?A sales tax is a use or consumption tax, indirectly levied by the government on buyers of certain taxable items.
The seller collects the sales tax on behalf of the government.
Total amount to spend on supplies = $1,000
Items Cost Unit Units Total Units Total for more
Oxen: $40 each 2 $80 8 $320
Food: $0.20 per lb 500 100 2,000 400
Clothing: $10 per set 5 50 20 200
Total cost before tax $230 $920
7% sales tax $16.10 64.40
Total cost after tax $246.10 $984.40
Change = $15.60
Thus, with $1,000, you can purchase 4 times the above quantities and still have some change after paying the required sales tax.
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If the straight line that passes through (2, 1) and (5, 7) is drawn accurately,
it passes through the point (20, y).
What number does y stand for?
The point (x, 21) lies on the same line.
What number does x stand for?
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A shipping company charges 18.95 for a large package and a small one for 9.75. What is the best estimate Of the cost to ship 5 large packs and 3 small packages
The best estimate of the cost to ship 5 large packs is 94.75 and 3 small packages is 29.25.
What is the best estimate?
Best estimate means an income, expense, or circumstance prediction based on past amounts of income and expenses and known factual information concerning future circumstances which affect eligibility, expenses to be incurred; or income to be received in the benefit month.
Given that
Shipping company charges 18.95 for a large package.
Shipping company charges 9.75 for a small package.
For 5 large packs shipping company charges = 5 × 18.95 = 94.75
For 3 small packs shipping company charges = 3 × 9.75 = 29.25
Therefore, the best estimate of the cost to ship 5 large packs is 94.75 and 3 small packages is 29.25.
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what is the domain of x^2-4 ?
DATA ANALYSIS AND STATISTICSComputations from a circle graphThe circle graph shows how the annual budget for a company is divided by department. If the amount budgeted for Sales, Support, and Editorial combined is$62,500,000, what is the total annual budget?
The percent of the budget that is destined for sales is 19%, the percent for support is 28% and the percent for editorial is 3%. All together, they represent the 50% of the total budget. That 50% is equivalent to $62,500,000, to find the total annual budget divide this amount by the percent that it represents (in decimal form which is 0.5):
[tex]\frac{62500000}{0.5}=125000000[/tex]The total annual budget is $125,000,000.
The net of a rectangular prism with a square base is shown. Use the net to find the surface area of the prism. Please help.
The value of surface area will be equal to 450 cm square. Thus, option B is the correct answer.
A rectangular prism may be defined as a 3-dimensional solid figure containing 6 faces and its base are in form of rectangle. The surface area may be given as the sum of all individual side areas. The prism given is like a cube and has 6 sides. The sides given are top - bottom, left - right and front - back. In the case given in the question we have top and bottom given as 5×5 squares, and the other 4 sides are equal 5×20 rectangles. So, we find the area as following
From top - bottom: 2× 5×5 = 50 cm²
From left - right: 2× 20×5 = 200 cm²
From front - back: 2× 20×5 = 200 cm²
Thus, in total the surface area will be given as = 200 + 200 + 50 = 450 cm².
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Increased from __ hours to ___ hours
The level of ibuprofen in the patients bloodstream increased from 0 hours to 2 hours.
What is ibuprofen?
Ibuprofen is an example of an NSAID that is used to relieve pain, fever, and inflammation. This includes menstruation pain, migraines, and rheumatoid arthritis. Additionally, it can be applied to seal off a premature infant's patent ductus arteriosus. It can be given orally or intravenously. After an hour, it usually begins to function.
In the graph that is attached, the y-axis represents the concentration of ibuprofen in the patient's bloodstream, and the x-axis represents the number of hours since ibuprofen was last consumed.
As we can see from the graph, the curve increases from a time of 0 hours, which corresponds to 0 mg of ibuprofen, to a time of 2 hours, which corresponds to 400 mg of ibuprofen.
The curve starts to descend after that point. We will settle for the first assertion because increase is what we are interested in.
Thus, we may conclude that the increase in ibuprofen level occurred between 0 and 2 hours.
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I will give brainliest and rate, if you do this right
Find the first derivative of the following:
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex] \displaystyle\qquad \tt \rightarrow \:1.) \: \: \: \frac{dy}{dx} = cot(x)[/tex]
[tex] \displaystyle\qquad \tt \rightarrow \:2.) \: \: \frac{dy}{dx} = 2x \sdot {3}^{ {x}^{2} } \sdot ln(3) [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
We need to find derivative of the following functions
1.) y = ln(sin x)[tex]\qquad \tt \rightarrow \:y = ln(sin(x))[/tex]
[tex] \displaystyle\qquad \tt \rightarrow \: \frac{dy}{dx} = \frac{d}{dx} (ln(sin(x)))[/tex]
[tex] \displaystyle\qquad \tt \rightarrow \: \frac{dy}{dx} = \frac{1}{sin(x)} \sdot cos(x)[/tex]
[ by chain rule ]
[tex] \displaystyle\qquad \tt \rightarrow \: \frac{dy}{dx} = cot(x)[/tex]
[tex]\large{ 2.)\tt y = {3}^{{x}^{2}}} [/tex]
[tex]\qquad \tt \rightarrow \:y = {3}^{ {x}^{2} } [/tex]
[tex] \displaystyle\qquad \tt \rightarrow \: \frac{dy}{dx} = \frac{d}{dx} ( {3}^{ {x}^{2} } )[/tex]
[tex] \displaystyle\qquad \tt \rightarrow \: \frac{dy}{dx} = {3}^{ {x}^{2} } \sdot ln(3) \sdot(2x) \sdot(1)[/tex]
[tex] \displaystyle\qquad \tt \rightarrow \: \frac{dy}{dx} = 2x \sdot {3}^{ {x}^{2} } \sdot ln(3) [/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
What is the area of the figure? The figure is not drawn to scale.thank you ! :)
Solution
- The formula for finding the area of a triangle is given below:
[tex]\begin{gathered} A=\frac{1}{2}\times b\times h \\ where, \\ b=\text{ The base of the triangle} \\ h=\text{ The perpendicular height} \end{gathered}[/tex]- We have been given:
[tex]\begin{gathered} b=5.4cm \\ h=2cm \end{gathered}[/tex]- Therefore, we can find the area as follows:
[tex]\begin{gathered} A=\frac{1}{2}\times2cm\times5.4cm \\ \\ \therefore A=5.4cm^2 \end{gathered}[/tex]Final Answer
The area is 5.4cm²
Byron jogs home from a park at an average speed of 6mi / h After half an hour he is 4 miles from home . What is an equation , in point - slope form, that represents Byron's distance from home , y, after hours?
A. y-6=-4(x-1/2)
B. y-4=-6(x-1/2)
C. y-1/2=-6(x-4)
D. y-4=6(x+1/2)
An equation, in point-slope form, that represents Byron's distance from home, y, after hours is: B. y - 4 = 6(x - 1/2).
What is the point-slope form?The point-slope form can be defined as an equation which is used when the slope of a line and one of the points on this line is known.
Mathematically, the point-slope form of a line is given by this equation:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y are the points.Given the following data:
Average speed (slope), m = 6 mi/h.
Point, y = 4.
Point, x = 1/2
Substituting the given parameters into the formula, we have;
y - y₁ = m(x - x₁)
y - 4 = 6(x - 1/2)
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The linear function y = 145 + 30x represents the cost y (in dollars) of an airline ticket after adding x checked
bags. At most 5 bags can be checked.
a. Interpret the terms and coefficient in the equation.
From the given parameters to determine the cost of the airline ticket, we can interpret that that the maximum amount that each ticket costs is $295 while the maximum amount of bags is 5 bags.
How to interpret Equation of a line in slope intercept form?
We are given the linear equation that represents the cost of an airline ticket after adding a number of checked bags as;
y = 145 + 30x
where;
y is the cost (in dollars) of an airline ticket after adding a number of checked bags
x is the number of checked bags
Thus, if there is a maximum of 5 bags that can be checked, then we have;
y = 145 + 30(5)
y = $295
This means that the maximum amount that each ticket costs is $295 while the maximum amount of bags is 5 bags.
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Solve for x.
Z = блху
О
Z = x
бл
x = -
блуг
Z = x
блу
= x
Answer
2
Step-by-step explanation:
1 + 1 =2
3 QUESTIONS 100 POINTS WILL GIVE BRAINLYEST
Answer: a
Step-by-step explanation:
because 140 squared = 200x=48/4
Yolanda watched a video for 3/8 minutes For how long did she watch videos in all? Write your answer as a fraction in simplest form. minutes. She watched another video for 1/8 minutes.
In mathematics, time is characterized as a continuing and continuous series of events that take place one after another, from the past through the present and into the future.
Yolanda watched videos for 1/2 minute in all.
How to calculate the watch time?Time can be viewed as an ongoing and continuous series of related events that take place one after another, from the past through the present and into the future, in mathematics.
Time is used to sequence events as well as to quantify, measure, and compare the length of occurrences or the gaps between them.
Given,
Yolanda watched a video for 3/8 minutes.
She watched another video for 1/8 minute.
Solution:
Total video watch hour = 3/8 + 1/8
Total video watch hour = 4/8
On simplifying we get,
Total video watch hour = 1/2 minutes
Yolanda watched videos for 1/2 minute in all.
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Find the area of the region that is bounded above by the curve f(x)=(x+3)2 and the line g(x)=−x−1 and bounded below by the x-axis.
By definite integrals, we find that the area of the region bounded by the functions f(x) and g(x) described in the statement is equal to 4.5 units.
How to determine the area of the region bounded by two curvesIn this problem we must determine the area between two functions, a quadratic equation f(x) and a linear equation g(x).
First, we need to determine the limits of the interval of x-values with the help of a graphing tool, represented by the points of intersection of the two functions.
The points of intersection of the two functions are (x₁, y₁) = (- 5, 4) and (x₂, y₂) = (- 2, 1), respectively. Then, the area is defined by the following definite integral:
[tex]I = \int\limits^{-2}_{-5} {[g(x) - f(x)]} \, dx[/tex]
[tex]I = \int\limits^{-2}_{- 5} {[(- x - 1) - (x + 3)^{2}]} \, dx[/tex]
[tex]I = - \frac{1}{2} \cdot [(- 2)^{2} - (- 5)^{2}] - [(- 2) - (- 5)] - (1 / 3) \cdot [(- 2 + 3)^{3} - (- 5 + 3)^{3}][/tex]
I = - (1 / 2) · (4 - 25) - 3 - (1 / 3) · (1 + 8)
I = - (1 / 2) · (- 21) - 3 - (1 / 3) · 9
I = 21 / 2 - 3 - 3
I = 21 / 2 - 6
I = 21 / 2 - 12 / 2
I = 9 / 2
I = 4.5
The area of the region represented by the definite integral introduced above is equal to 4.5 units.
RemarkThe statement leads to a contradiction. Correct form is presented below:
Find the area of the region that is bounded above by the curve f(x) = (x + 3)² and the line g(x) = - x - 1 and bound above the x-axis.
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