Answer:
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tStep-by-step exrprlanation:ht
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the office supply vendor that delivers printer ink to companies charges a subscription fee of 230 for its services plus x dollars for each cartoon of ink. if a company paid 1364 for 18 cartoons of ink, including the subscription fee, what is the value of x?
The value of x, which represents the cost of each carton of ink is $63.
Let's break down the given information:
The subscription fee for the printer ink service is $230.
The company paid a total of $1364, which includes the subscription fee.
The company purchased 18 cartons of ink.
To find the value of x, we need to determine the cost of the ink cartridges alone, excluding the subscription fee. We can subtract the subscription fee from the total payment to get the cost of the ink:
Total payment - Subscription fee = Cost of ink cartridges
$1364 - $230 = $1134
Now, we divide the cost of the ink cartridges by the number of cartridges to find the cost per cartridge:
Cost of ink cartridges / Number of cartridges = Cost per cartridge
$1134 / 18 = $63
Therefore, the value of x, which represents the cost of each carton of ink, is $63.
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the lateral surface area of cylinder R is 33π find the height of the cylinder
Answer:
1.7507
Step-by-step explanation:
See Image
Help me plsssssssssssssssssssssssssss
Answer: 120
Step-by-step explanation: divide 24 by 5 to get 4.8 so its 4.8 minutes for one question
25 x 4.8 = 120
Which of the following is a counterexample to the following conjecture? If x2 = 4, then
X = 2
Answer: X=-2
Step-by-step explanation:
55 divided by 11 * 7 x (2 + 14)
560
1) PEMDAS so 2+14=16
2)55/11=5
3)5x7=35
4)35(16)=560
Consider functions f and g.
f(x)
g(x)
Which expression is equal to f(x) + g(x)?
=
=
-3x² + 4x + 4
x (-7x - 7)
O A. -10x² 3x + 4
OB.
-3x²
3x
3
O C. -10x² + 4x - 3
4x² 3x + 4
O D.
-
-
-
-
A. -10x^2 - 3x +4 , is the expression is equal to f(x) + g(x).
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
f(x)= -3x^2+4x+4
g(x)= x(-7x-7)
now,
f(x) + g(x)
=-3x^2+4x+4 +x(-7x-7)
= -10x^2 - 3x +4
Hence, A. -10x^2 - 3x +4 , is the expression is equal to f(x) + g(x).
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Two types of steel are tested in a tensile testing machine to failure. One steel is hard and brittle, the other soft and ductile. (a) sketch the respective stress-strain curves you would expect for each metal (b) explain how you would quantify the brittleness/ductility of each metal in terms of the dimensions, etc giving any appropriate illustrations and equations.
(a) Sketching the respective stress-strain curves for the hard and brittle steel and the soft and ductile steel:
Hard and Brittle Steel:
The stress-strain curve for hard and brittle steel typically shows a steep linear elastic region followed by a sudden drop in stress and limited plastic deformation before fracture. The curve would have a high modulus of elasticity and a low strain at failure.
Soft and Ductile Steel:
The stress-strain curve for soft and ductile steel exhibits a more gradual linear elastic region, followed by a yield point, significant plastic deformation, and necking before ultimate failure. The curve would have a lower modulus of elasticity and a higher strain at failure compared to the hard and brittle steel.
(b) Quantifying brittleness/ductility:
Brittleness and ductility can be quantified using different mechanical properties:
Brittleness:
Brittleness is often measured by the fracture toughness or the ability of a material to resist crack propagation. It is commonly represented by parameters such as the critical stress intensity factor (KIC) or the fracture toughness (KIC = σ√πc), where σ is the applied stress and c is the crack length.
Ductility:
Ductility is typically measured by the elongation or strain at failure. It is represented by the engineering strain (ε = ΔL/L0), where ΔL is the change in length and L0 is the original length of the specimen. The greater the elongation or strain at failure, the higher the ductility of the material.
To quantify brittleness/ductility, these parameters can be determined experimentally using specialized tests such as fracture toughness tests or tensile tests. By comparing the values obtained for different materials, their relative brittleness or ductility can be assessed.
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What additional information is obtained from measurements on an ordinal scale compared to measurements on a nominal scale
Measurements on an ordinal scale offer additional information by providing an ordered arrangement of categories or variables, enabling comparisons and understanding of relative positions or preferences.
Measurements on an ordinal scale provide additional information compared to measurements on a nominal scale by allowing for the establishment of a ranking or order among the measured categories or variables. While a nominal scale categorizes data into distinct groups without any inherent order, an ordinal scale assigns a specific order or hierarchy to the categories or variables being measured.
With measurements on an ordinal scale, it becomes possible to determine the relative position, preference, or level of a particular category or variable in relation to others. This ordering provides more nuanced information about the data, allowing for comparisons such as "greater than" or "less than" relationships. However, the precise magnitude or interval between categories is not defined in an ordinal scale, unlike in other scales like interval or ratio scales.
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Fill in the blanks. You can choose from these choices: same, opposite, reciprocal, x, y, -1, 1,0, similar, numerator. You will not use all the choices
The complete text would be the following:
Parallel lines have the same slope, but different y-intercepts.
Perpendicular lines have opposite reciprocal slopes, which means the product of their slopes is -1.
50 POINTS
Consider this equation: 2/3x - 9 - 2x+2=1
Which is an equivalent equation after combining like terms?
O 8/3x - 11 = 1
O -4/3x - 7 = 1
O 8/3x - 7 = 1
O -4/3x - 11 = 1
Answer:
-4/3x-7=1
Step-by-step explanation:
just combine like terms
A figure is dilated by a scale factor of 3 and is rotated 90° clockwise.
Complete the description of the transformations that will transform the image back into the original figure. Drag and drop each choice into the correct boxes to complete the sentences below.
Answer:
Answers are below ----v
Step-by-step explanation:
1. Clockwise
2. 3
3. (y, -x)
4. (3x,3y)
Couples were recruited for a study of how many words people speak in a day. A random sample of 68 males resulted in a mean of 16,138 words and a standard deviation of 7884 words. Use a 0.01 significance level to test the claim that males have a standard deviation that is greater than the standard deviation of 7460 words for females. Use the accompanying method of approximation to estimate the critical value of χ 2 for this scenario. How close is it to the critical value of χ 2=96.828 obtained by using Statdisk and Minitab? Click the icon to view information about the approximation. Based on the accompanying method of approximation, the critical value of χ 2for this scenario is . This estimate is close to (within 2 of) the critical value of χ 2=96.828 obtained by using Statdisk and Minitab. (Round to two decimal places as needed.) Approximation Information For large numbers of degrees of freedom, we can approximate critical values of χ 2as follows: χ 2= 21√(z+ 2k−1 ) 2Here k is the number of degrees of freedom and z is the critical value(s) found from technology or a standard normal distribution table. In this scenario we have df=67, so a chi-square distribution table does not list an exact critical value. If we want to approximate a critical value of χ 2in the right-tailed hypothesis test with α=0.01 and a sample size of 68 , we let k=67 with z=2.33 (or the more accurate value of z=2.326348 found from technology).
According to the approximation, the critical value of χ^2 for this scenario is approximately 2799.93.
To test the claim that males have a standard deviation greater than the standard deviation of 7460 words for females, we can perform a right-tailed hypothesis test using the chi-square distribution.
Given:
Sample size of males (n) = 68
Sample standard deviation of males (s) = 7884 words
Standard deviation of females (σ) = 7460 words
Significance level (α) = 0.01
Degrees of freedom (df) = n - 1 = 68 - 1 = 67
To estimate the critical value of χ^2, we'll use the approximation formula:
χ^2 ≈ 21√(z + 2k - 1)^2
Here, k is the number of degrees of freedom (67) and z is the critical value obtained from technology or a standard normal distribution table. In this case, z = 2.33 is given.
Substituting the values into the formula:
χ^2 ≈ 21√(2.33 + 2(67) - 1)^2
≈ 21√(2.33 + 132 - 1)^2
≈ 21√(133.33)^2
≈ 21 * 133.33
≈ 2799.93
According to the approximation, the critical value of χ^2 for this scenario is approximately 2799.93.
Comparing this estimate to the critical value of χ^2 = 96.828 obtained by using Statdisk and Minitab, we see that they are significantly different. The estimate obtained using the approximation method is much larger than the critical value obtained from Statdisk and Minitab.
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Find m∠R. please hurry for 50 points!!!
Answer:
124
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180:
m<R + m<S + m<T = 180
11x + 3 + x + 15 + 2x + 8 = 180 add like terms
14x + 26 = 180 subtract 26 from both sides
14x = 154 divide both sides by 14
x = 11 to find m<R replace x with 11
11*11 + 3 = 124
Apply angle sum property
\(\\ \rm\rightarrowtail 11x+3+x+15+2x+8=180\)
\(\\ \rm\rightarrowtail 14x+26=180\)
\(\\ \rm\rightarrowtail 14x=154\)
\(\\ \rm\rightarrowtail x=11\)
m<R=11(11)+3=124Find the equation of a line that passes through the point (-3,-2) and has a gradient of 4.
Leave your answer in the form
y
=
m
x
+
c
Step-by-step explanation:
in the form
y = mx + c
m is the gradient (or slope) of the line, and c is the y-intercept (the y-value when x = 0).
y = 4x + c
we get c by using the given point coordinates :
-2 = 4×-3 + c = -12 + c
10 = c
so the full equation is
y = 4x + 10
Type the correct answer in the box. Round your answer to the nearest tenth.
B
R=?
F = 38 N
501
F = 40 N
Two forces. 5 and 5 are acting on a body, as shown in the figure. The resultant force, RIS
newtons
Please answer
use exterior angle measures to solve for h
Answer:
h = 125
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, that is
h = 63 + 62 = 125
Tell me is it same or different?
Tell me why?
same.......
i guess......
20 Points and Brainliest to answer this
David has 54 marbles, 24 of which are black, 18 are red, and 12 are blue. Show a fraction that represents the ratio of black marbles to blue marbles? In order to receive full credit you MUST SIMPLIFY
Answer:
2/1
Step-by-step explanation:
black is 24 and blue is 12 so it'd be 24/12 which simplifies to 2/1
Who am I ?
- My thousands digit is 4
- My hundreds digit is 4 less than the digit in the thousands place
- The sum of my tens digit and ones digit is 7
- My tens digit is 3 more than my ones digit
- The digits in the thousands period have a sum of 10
- My first digit is half the digit that immediately follows it.
I am the number_______________
I am the number 4052. It is rather confusing and i cannot promise that it is correct. Hope it helps : )
PLS ANSWER....
Lcm of 12,24 and 36
Answer:
The LCM of 12, 24, and 36 is 72
Step-by-step explanation:
pa rate po
Answer:
72
Step-by-step explanation:
12, 24 and 36
/2
=6, 12, 18
/2
= 3,6,9
/3
=1,2,3
/2
=1,1,3
/3
=1,1,1
LCM = 2*2*3*2*3
= 72
If you know that a line has a slope of 23and a y-intercept of 7, what is the equation for that line in slope-intercept form?
Answer:
y = 23 x + 7
Step-by-step explanation:
y=mx+b form where m is the slope and b is the y-intercept. You just plug in the values.
Step-by-step explanation:
\( \underline{ \underline{ \text{Given}}} : \)
Slope ( m ) = 23Y - intercept ( c ) = 7\( \underline{ \underline{ \text{To \: find}}} : \)
Equation for the line in slope - intercept form\( \underline{ \underline{ \text{Solution}}} : \)
\( \boxed{ \tt{y = mx + c}}\)
⇾ \( \tt{y = 23x + 7}\)
⇾ \( \tt{0 = 23x + 7 - y}\)
⇾ \( \tt{23x - y + 7 = 0}\)
\( \boxed{ \boxed{ \text{Our \: final \: answer : \boxed{ \underline{ \tt23x + 7 - y = 0}}}}}\)
( Correct me if I am wrong )
Have a wonderful day / night ! ♡
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
20 POINTS PLS HELP ME Find the surface area of each pyramid. Round to the nearest tenth if necessary.
Answer:
633.94 squared inches
Step-by-step explanation:
15.75 x 15.75 = 248.0625
12.25 x 15.75 x 1/2 = 96.46875
since there are 4 triangles and they are equivalent...
96.46875 x 4 = 385.875
Surface area is...
385.875 + 248.0625 = 633.9375
changing my answer hh
Picture below has question/answer choices!!
The statements that is true about the similarity of the two triangles the option D
D. ΔMNO and ΔJKL are not similar triangles
What are similar triangles?Similar triangles are triangles which have proportional corresponding sides
The parameters in the question are;
The length of segment MN = 20
Length of segment NO = 12
Length of segment OM = 25
Measure of angle ∠O = 56°
Length of segment LJ =- 15
Length of segment JK = 12
Length of segment KL = 9
Measure of angle ∠L = 56°
Two triangles are similar if the ratio of two sides on one triangle are proportional to two sides of another triangle, and the included angle between the two sides are congruent
The included angle between sides ON and MO on triangle MNO is congruent to the included angle between segment LK and JL in triangle JKL
However, the ratio of the sides LK to ON and JL to MO are;
9/12 ≠ 15/25
Therefore, the triangles are not similar
The correct option is option D
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which answer describes the graph of the system of equations?
Answer:
D, the lines coincide.
Step-by-step explanation:
isolate the y so theres no 2y, only y:
2y = 8 - 2x (divide both sides by 2)
y = 4 - x
The lines are the same line, so while they are plural, they also coincide, as one lies on top of the other.
Hope this helps :) Brainliest??
Answer:
its D
Step-by-step explanation:
A person created a game in which a player pays $3 to play. Then, they roll a standard six-sided die. If it lands on an even number they get $6. If they roll anything else, they get $5. What is the expected value of each game to the player?
The expected value of each game for the player is $2.50.
In this game, a player pays $3 to play and rolls a standard six-sided die.
The expected value of each game can be calculated by finding the probabilities of each outcome and their respective payouts.
There are 3 even numbers (2, 4, 6) and 3 odd numbers (1, 3, 5) on a six-sided die.
The probability of rolling an even number is 3/6 (or 1/2) and the probability of rolling an odd number is also 3/6 (or 1/2).
If a player rolls an even number, they receive $6. If they roll an odd number, they receive $5.
To calculate the expected value, multiply the probability of each outcome by its payout:
(1/2 * $6) + (1/2 * $5) = $3 + $2.50 = $5.50
Since the player pays $3 to play, the expected value for the player is:
$5.50 - $3 = $2.50
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Help please and thank you !! ill give brainle and 20 points !
Answer:
G 33%
Step-by-step explanation:
17/52 = 0.32692307692
0.32692307692 is about 33 %
Have a nice day! :)
did Kelly earn this week delivering packages?
Kelly makes $5.15 per package delivery. This week she delivered 3 packages on Monday, 5 on Wednesday and 9 on Saturday. How much
Using unit value, Kelly earned a total of $87.55 this week.
The meaning of a unit valueIn most cases, the unit value is obtained by dividing the cost or value of a group of objects by the total number of items.
The appraisal of a single item or component within a group is known as unit value. The concept of unit value is applicable in a variety of contexts, including building, inventory control, sales, and stock trading. The unit value is typically the result of dividing the price or worth of a set of things by the total number of items.
Kelly delivered three packages on Monday, five on Wednesday, and nine on Saturday in light of this.
There have been 17 shipments delivered in all.
Additionally, she earns $5.15 for every shipment she delivers.
Kelly made a total of $5.15 × 17.
= $87.55
Kelly consequently made $87.55 in total for the week.
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can someone please help me solve these math problems they are about triangle proofs
Answer:
Besides the givens:
12.
AC = EC, BC = DC; Definition of Midpoint
<ACB = <ECD; Vertical Angles Theorem
Triangle ABC = Triangle EDC; SAS Congruence Postulate
13.
AD = CD; Definition of Median
BD = BD; Reflexive Property
Triangle ABD = Triangle CBD; SSS Postulate
Step-by-step explanation:
None necessary.
sinxcosx = 1/2cosx
Solve for x.
Answer:
\(x=\dfrac{1}{2} \pi + 2\pi n\)
\(x=\dfrac{3}{2}\pi +2 \pi n\)
\(x=\dfrac{1}{6}\pi+2 \pi n\)
\(x=\dfrac{5}{6}\pi+2 \pi n\)
Step-by-step explanation:
Given trigonometric equation:
\(\sin x \cos x &= \dfrac{1}{2} \cos x\)
Rearrange the equation so that it equals zero:
\(\begin{aligned}\sin x \cos x &= \dfrac{1}{2} \cos x\\2 \sin x \cos x &= \cos x\\2 \sin x \cos x - \cos x &=0\\ \cos x (2 \sin x - 1)&=0\end{aligned}\)
Apply the zero-product property.
Case 1
\(\begin{aligned}\cos x &=0\\x&=\cos^{-1}(0)\\x&=\dfrac{1}{2} \pi +2\pi n, \; \dfrac{3}{2}\pi +2 \pi n\end{aligned}\)
Case 2
\(\begin{aligned}2\sin x - 1& = 0\\2 \sin x & = 1\\\sin x & = \dfrac{1}{2}\\x&=\sin^{-1}\left(\dfrac{1}{2}\right)\\x & = \dfrac{1}{6} \pi+2 \pi n, \; \dfrac{5}{6} \pi +2 \pi n\end{aligned}\)