Answer: Interval Notation (0, 6)
Graph: 0 o--------------o 6
Step-by-step explanation:
[tex]\dfrac{2}{x}>\dfrac{4}{12}\implies \dfrac{2}{x}>\dfrac{1}{3}\\\\\text{Restriction: Since the denominator cannot be zero, }x\neq 0\\\\\text{First, set the left side EQUAL to the right side and solve:}\\\dfrac{2}{x}=\dfrac{1}{3}\quad \text{cross multiply}\rightarrow 2(3)=x\quad \rightarrow \quad 6=x\\\\\\\text{Next, choose your test points}\\\bullet \text{to the left of 0: I choose -1}\\\bullet \text{between 0 and 6: I choose 1}\\\bullet \text{to the right of 6: I choose 8}[/tex]
[tex]\text{Now, plug each of the test points into the inequality to see which one(s)}\\\text{make a true statement.}\\\\\dfrac{2}{-1}>\dfrac{1}{3}\implies -2>\dfrac{1}{3}\quad FALSE\\\\\\\dfrac{2}{1}>\dfrac{1}{3}\implies 2>\dfrac{1}{3}\quad \boxed{TRUE!}\\\\\\\dfrac{2}{8}>\dfrac{1}{3}\implies -2>\dfrac{1}{3}\quad FALSE[/tex]
So, the solution is: every value between 0 and 6
2/x > 4/12
We can plug each of the numbers given in to verify.
2/4 = 4/8 = 6/12 > 4/12 √ this is correct
2/6 = 4/12 > 4/12 × this is incorrect
2/12 > 4/12 × this is incorrect
2/24 = 1/12 > 4/12 × this is incorrect
Your answer is A
Find the surface area of the rectangular prism.
Answer:
130 ft^2
Step-by-step explanation:
SA= surface area
SA= 2*l*w + 2*l*h + 2*w*h
l= length = 10
w= width =5
h = height = 1
SA= 2*l*w + 2*l*h + 2*w*h
SA= 2*10*5 +2*10*1+2*5*1
SA= 100+20+10
SA= 130 ft^2
what asks no questions but must be answered
The riddle 'what asks no questions but must be answered' typically refers to a telephone or a doorbell, both of which signal when someone is attempting to communicate or get attention.
Explanation:The student's question, "what asks no questions but must be answered," is a type of riddle, which is a question or statement intentionally phrased to require ingenuity in ascertaining its answer. In this context, the answer to the riddle is typically the telephone or a doorbell, as both signal when someone is trying to get in contact or gain attention, and generally, one responds to them. Riddles can form part of the teaching in English, particularly when focusing on language play, word definitions, and understanding semantics. They can encourage students to pay attention to wording and to contemplate why certain expressions carry the meanings they do.
Which expressions are equivalent to 8(-10x+3.5y-7) check all that apply
Answer:
-80x + 28y - 424(-20x + 7y - 14)Step-by-step explanation:
Use the distributive property a(b + c) = ab + ac:
8( -10x + 3.5y - 7)
= (8)(-10x) + (8)(3.5y) + (8)(-7)
= -80x + 28y - 42
8(-10x + 3.5y - 7)
= (4)(2)(-10x + 3.5y - 7)
= 4[(2)(-10x) + (2)(3.5y) + (2)(-7)]
= 4(-20x + 7y - 14)
The expression 8(-10x+3.5y-7) equivalent to -80x + 28y - 56.
How to solve an expression?Let the expression be
8(-10x + 3.5y - 7)
Simplifying the above equation as
[tex]$\ 8\left(-10 x+\frac{35}{10} y-7\right)$[/tex]
Multiplying the equation, then we get
[tex]$-80 x+8 \times \frac{35}{10} y-8 \times 7$[/tex]
[tex]$-80 x+4 \times \frac{35}{5} y-56$[/tex]
[tex]$-80 x+4 \times 7 y-56$[/tex]
- 80x + 28y - 56
Therefore, the correct answer is option (b) - 80x + 28y - 56.
To learn more about the expression
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A square painted has a side length of 18 inches what is the area of the painting
Erin earned $25 last week for 5 hours of baby-sitting. This week she earned $40 for 8 hours of baby-sitting. What was her hourly rate in whole dollars?
Answer:
5 dollars
Step-by-step explanation:
25/5 = 5 (25 dollars for 5 hours. Divide 25 and 5 to get how many dollars she earned for one hour)40/8 = 5 (Each hour she earned $5 since 40/8=5 and 25/5=5~Jax
*EASY* WILL MARK BRAINEST! Find the slope of the line in the image below!
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷ Slope = rise/run
rise=2
run=1
Final answer:
2/1 or 2
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
TROLLER
The slope of the line is 4/2, or 2/1, or 2 because if you find the rise over run, you will get either 4/2 or 2/1.
What is the same value as 5/8 2?
The answer is (D) 5/8 x 1/2
Which of the following is the graph of y= x2 + 2x +1
Answer:
Step-by-step explanation:
you should show the graph
but
simplify it
A bakery gave out coupons to celebrate its grand opening. Each coupon was worth either $1, $3, or $5. Twice as many $1 coupons were given out as $3 coupons, and 3 times as many $3 coupons were given as $5 coupons. The total value of all the coupons given out was $360. How many $3 coupons were given out?
Answer:
54
$3 dollar coupons were given
Step-by-step explanation:
We can represent this question as a system of equations
Let
x = number of $1 dollar coupons
y = number of $3 dollar coupons
z = number of $5 dollar coupons
Twice as many $1 coupons were given out as $3 coupons,
x = 2*y
3 times as many $3 coupons were given as $5 coupons.
y = 3*z
The total value of all the coupons given out was $360
x*$1 + y*$3 + z*$5 = $ 360
The system results
x - 2y + 0 = 0 (1)
0 + y - 3z = 0 (2)
x + 3*y +5*z = $ 360 (3)
We substitute equation (2) and (1) into (3)
(2y) + 3*y + 5*(y/3) = $ 360
20*y/3 = 360
y = 54
To determine the number of $3 coupons given out by the bakery, we solved the equation 5x + 3(3x) + 1(2(3x)) = $360, where x represents the number of $5 coupons. We found that x = 18, and since there are three times as many $3 coupons as $5 coupons, the bakery gave out 54 $3 coupons.
The question involves solving a system of linear equations to determine how many $3 coupons were given out by the bakery. Let's define the variables first:
x = number of $5 coupons3x = number of $3 coupons2(3x) = number of $1 couponsBased on the given information, we can set up the following equations:
5x + 3(3x) + 1(2(3x)) = $360Now let's solve the equation:
5x + 9x + 6x = $36020x = $360x = 18Once we have x, we know that the number of $3 coupons is 3 times x, so:
3x = 3(18) = 54
Therefore, 54 $3 coupons were given out by the bakery.
Given the line of best fit for a data set of data points with the equation y=5x-2.5,what is the residual for the point (4,13)
Final answer:
The residual for the data point (4,13) given the line of best fit y=5x-2.5 is -4.5, indicating the line overestimates the value of y by 4.5 units.
Explanation:
The student is asking about finding the residual for a data point (4,13) given the line of best fit with the equation y=5x-2.5. To find the residual, you calculate the difference between the actual y value of the data point and the predicted y value from the line of best fit. For the given point, the predicted y value is calculated by substituting x=4 into the line equation, yielding y = 5(4) - 2.5 = 17.5. The residual is the actual y value minus the predicted y value: 13 - 17.5 = -4.5. Therefore, the residual for the point (4,13) is -4.5, indicating that the line of best fit overestimates the actual data value for y by 4.5 units.
Which numbers are irrational?
Select each correct answer.
A. 6.25−−−−√
B. 3√
C. −1√
D. 32−−√
The first one I believe
Answer: A
Step-by-step explanation: rational numbers \can be turned into a fraction so yea.
What is the sum of -3 2/8 + 1/4
the sum of three numbers is 125. the second number is 5 less than the first. the third number is 4 times the second. what are the numbers
Answer:
The numbers are 25, 20 and 80
Step-by-step explanation:
125=a+b+c
b=a-5
c=4b
c=4(a-5)
c=4a-20
125=a+a-5+4a-20
125=6a-25
150=6a
25=a
b=a-5
b=25-5
b=20
c=4b
c=4(20)
c=80
✓:
80+20+25=125✓
Help anyone please and I need to show the work!
2 and 2, 15tenths is the corret anwser
Identify the center and intercepts if the conic section. then find the domain and range. i’ll post the answers below
The conic section is Parabola. It intersects at point (0,5) on the y-axis. The domain of the parabola is all real numbers. The range of the parabola is [tex]y\ |y \ge 5[/tex].
The image appears to be a graph of a parabola. Here's the information:
Type of conic section: Parabola
Center: This parabola doesn't have a center, as parabolas are not symmetrical across both axes.
Intercepts: The parabola intersects the y-axis at the point [tex]$(0, 5)$[/tex]. It doesn't intersect the x-axis.
Domain: The domain of the parabola is all real numbers, as it extends infinitely in both directions to the left and right.
Range: The range of the parabola is all real numbers greater than or equal to 5, as it starts at the point [tex]$(0, 5)$[/tex] and extends infinitely upwards.
The center and intercepts of a conic section vary depending on the specific type. The domain and range also differ based on the nature of the conic section, with some having a limited set of x or y values, while others span all real numbers with exceptions.
Explanation:To identify the center and intercepts of a conic section, we first need the specific equation of the conic section (circle, ellipse, parabola, or hyperbola). The intercepts are the points where the graph intersects the x-axis and y-axis. The center of a conic section (for circles and ellipses) is the point inside the conic section that is equidistant from all points on the curve. For parabolas, the center does not exist since they are open-ended curves, and for hyperbolas, the center is the midpoint between the vertices of the two branches of the curve.
The domain and range are the set of possible x-values and y-values respectively that the function (conic section) can take. For circles and ellipses, the domain and range are limited to the values within the bounds of those shapes. Parabolas have an infinite domain when the axis of symmetry is vertical and an infinite range when the axis of symmetry is horizontal, except if there is a horizontal directrix, which restricts the range. Hyperbolas have a domain and range all real numbers except for values that fall within the 'gap' created by the asymptotes.
A bakery has 63 donuts and 36 muffins for sale. What is the ratio of muffins to donuts?
A.
4 to 1
B.
7 to 4
C.
1 to 4
D.
4 to 7
Answer:
D.) is the answer
Step-by-step explanation:
I know this because the ratio of muffins to donuts is 36:63 but simplified is 4:7
The ratio of muffins to donuts is 4:7 if the bakery has 63 donuts and 36 muffins for sale, option (D) 4 to 7 is correct.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We have:
Number of donuts = 63
Number of muffins = 36
The ratio of muffins to donuts:
36:63
4:7
Ratio is 4 to 7
Thus, the ratio of muffins to donuts is 4:7 if the bakery has 63 donuts and 36 muffins for sale option (D) 4 to 7 is correct.
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x/2 + 3/2 < 5/2 give solution
Start with
[tex]\dfrac{x}{2}+\dfrac{3}{2}<\dfrac{5}{2}[/tex]
Multiply the whole equation by 2. Since 2 is positive, we don't need to switch the inequality sign:
[tex]x+3<5[/tex]
Subtract 3 from both sides:
[tex]x<2[/tex]
use the graph of y=e^x to evaluate the expression e^-1.5
round to the nearest tenth if necessary.
Answer:
0.25
Step-by-step explanation:
Locate the x value -1.5 along the x-axis. It has a matching output or y value on the curve. Draw a vertical line at x = -1.5. Where the line and curve intersect it the output value. Here it estimates as 0.25.
Answer:
0.223 is the answer
Step-by-step explanation:
Here first we draw the graph of y =[tex]y =e^x[/tex]
and in order to find the value of [tex]e^{-1.5}[/tex]
we draw a line x =-1.5
and the point where this line x =-1.5 intersects with given
graph is the required value
which is y =0.223 at x =-1.5
Below is the graph given
The number of painters, p, employed to paint a building is inversely proportional to the time taken to paint the building, b. Which equation best models the number of painters required to finish the painting?
Answer:
Option B. [tex]p=k/b[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]
Let
p-----> the number of painters
b----> the time taken to paint the building
we know that
[tex]p*b=k[/tex]
so
[tex]p=k/b[/tex]
Answer:
B. [tex]p=\frac{k}{b}[/tex]
Step-by-step explanation:
Given,
The number of painters, p, employed to paint a building is inversely proportional to the time taken to paint the building, b
[tex]\implies p\propto \frac{1}{b}[/tex]
[tex]\implies p=\frac{k}{b}[/tex]
Where, k is the constant of proportionality,
Hence, the required equation that models the relation between p and b is,
[tex]p=\frac{k}{b}[/tex]
Option 'B' is correct.
DeSean throws a ball up with an initial vertical velocity of 30 ft/s from a platform that is at ground level. How long will the ball be in the air?
Answer:
Time, t = 1.875 seconds
Step-by-step explanation:
It is given that,
Initial velocity of the ball, u = 30 ft/s
DeSean throws a ball from a platform that is at ground level. The equation of motion when an object is thrown vertically upward is given by the following equation as :
[tex]h(t)=-16t^2+vt+h[/tex]
Here, h = 0 since, the ball is thrown up at the ground level. We have to determine the time when the ball be in air. The quadratic equation becomes :
[tex]-16t^2+30t+0=0[/tex]
t = 1.875 seconds
So, the ball be in air for 1.875 seconds. Hence, this is the required solution.
how much larger is 8,000,000 than 200 ?
Answer:
7,999,800
Step-by-step explanation:
8,000,000 minus 200 = answer
Write the equation of a circle givin by (x-3)^2+(y+7)^2=4
Answer:8
Step-by-step explanation:(
x
+
4
)
2
+
(
y
−
7
)
2
=
64
This is the form of a circle. Use this form to determine the center and radius of the circle.
(
x
−
h
)
2
+
(
y
−
k
)
2
=
r
2
Match the values in this circle to those of the standard form. The variable
r
represents the radius of the circle,
h
represents the x-offset from the origin, and
k
represents the y-offset from origin.
r
=
8
h
=
−
4
k
=
7
The center of the circle is found at
(
h
,
k
)
.
Center:
(
−
4
,
7
)
These values represent the important values for graphing and analyzing a circle.
Center:
(
−
4
,
7
)
Radius:
8
what graph shows the solution to the inequality p ≥ -1
The solution to the inequality [tex]\( p \geq -1 \)[/tex] represents all the values of p that are greater than or equal to -1.
To represent this on a graph, you would draw a number line with an open circle at -1 (since it's "greater than or equal to", not just "greater than"), and then shade to the right to indicate all values greater than -1.
The open circle at -1 indicates that -1 is not included in the solution, and the shaded area to the right indicates all values greater than -1.
Please help me!
Write y = x2 + 2x + 5 in vertex form.
y = (x – 1)2 + 5
y = (x + 1)2 + 5
y = (x + 1)2 + 4
y = (x – 1)2 + 4
Answer:
the answer is
y=(x+1)2+4
Which equation represents a circle with a center at -3,-5 and a radius of 5
Answer: [tex](x+3)^2+(y+5)^2=25[/tex]
Step-by-step explanation:
The equation of the in center-radius form is the shown below:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where the center is at the point (h,k) and r is the radius of the circle.
Based on the information given in the problem, the center of the circle is at the point (-3,-5) and a radius of the circle is 5, then, you must substitute values into the equation shown above.
Therefore, you obtain the following equation:
[tex](x-(-3))^2+(y-(-5))^2=(5)^2[/tex]
[tex](x+3)^2+(y+5)^2=25[/tex]
The function y = -2(x-3)^2+4 shows the daily profit (in hundreds of dollars) of a hot dog stand, where x ist the price of a hot dog (in dollars). Find and interpret the zeros of this function
Answer:
The answer in the procedure
Step-by-step explanation:
we know that
The zeros of the function are the values of x when the value of y is equal to zero
In this problem
The zeros of the function are the price of a hot dog (in dollars) when the daily profit (in hundreds of dollars) of a hot dog stand are zero
we have
[tex]y=-2(x-3)^{2}+4[/tex]
using a graphing tool
The zeros of the function are
x=$1.59, x=$4.41
so
for these prices the daily profit are zero
see the attached figure
A point has zero dimension and a line has one
A point has zero dimensions. There's no length, height, width, or volume. Its only property is its location.
One Dimension: Once you connect two points, you get a one-dimensional object — a line segment.
Complete the series. 9 = 4, 21 = 9, 22 = 9, 24 = 10, 8 = 5, 7 = 5, 99 = 10, 100 = 7, 16 = ?, 17 =?
just simply count the number of letters in each number, that is to say:
NINE= 4 letters
TWENTY-ONE= 9 letters
so 16=7 since
SIXTEEN is 7 letters
and 17=9 since
SEVENTEEN is 9 letters
What is the measure of PQR
A.51
B.55
C.74
D.78
Please I really need help
the answer is B maybe
180- 51- 74
=55
Answer:
b
Step-by-step explanation:
!!!!!!!50 POINTS!!!!!!
What jobs use parallel and perpendicular lines? (give examples)!!!
Answer:
Perpindicular ---
construction - the walls need to be build at a perfect shape
interior decorating - things need to be hung on the wall, properly aligned
carpentry - if you want to build a square you need to make a line perpendicular to the first piece of wood, to make a perfect right angle
Step-by-step explanation:
Architects and engineers use parallel and perpendicular lines in technical drawings to ensure accuracy and consistent dimensions, while artists may use these concepts in perspective artwork. Physics calculations involving moments of inertia also apply these principles in determining rotational properties of objects.
Many professions use the concepts of parallel and perpendicular lines. For instance, architects and engineers frequently use parallel and perpendicular lines in their drawings and designs. When architects design buildings with a rectangular plan, they rely on parallel projections, where they scale down a two-dimensional representation of the building while maintaining parallel lines. Engineering drawings, such as those for machine parts, also employ parallel and perpendicular lines to convey the dimensions and orientation of objects accurately.
Artists working in perspective, on the other hand, often employ the concept that parallel lines appear to converge at a vanishing point in the distance, as seen in linear perspective artwork. However, for technical drawings where accuracy and measurement are key, the parallel projection method is crucial as it allows for dimensions to remain consistent.
In physics, moments of inertia calculations for objects like discs and rods often utilize parallel and perpendicular axes theorems to determine rotational properties. And in geometry, constructions frequently involve drawing parallel or perpendicular lines from given points, which is fundamental in defining figures and solving problems.