jennifer is a wedding planner. She set up five chairs at each table for the reception. If( t )represents the number of tables, which of the following expressions represents the total number of chairs that she set up?
A. 5 + t
B. t + 5
C. 5t
D. t - 5
Answer:
C. : 5t
--
Once we find out the number of tables at the reception, we can then multiply the number of tables to 5t.
When the scale factor is less than 1 The new image is?
The new image would be smaller in sample size than the original image.
For example, if the scale factor is 0.5, the new image will be half the size of the original image. To determine the exact size of the new image, the scale factor is multiplied with the width and height of the original image. For example, if the original image is 200 x 100 pixels, and the scale factor is 0.5, the new image will be
(200 x 0.5) = 100 x (100 x 0.5)
= 50 pixels.
The same concept applies when the scale factor is a decimal. For example, if the scale factor is 0.75, the new image will be three-quarters the size of the original image. In this case, the new image would be
(200 x 0.75) = 150 x (100 x 0.75)
= 75 pixels.
In summary, when the scale factor is less than 1, the new image will always be smaller than the original image, depending on the scale factor. The exact size of the new image can be determined by multiplying the width and height of the original image with the scale factor.
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what is the missing factor that would create this equation?
_____?___(5x^3-3x^2)=10x^5-6x^4
Answer:
2^2
Step-by-step explanation:
10x^5/5x^3 = 2^2
-6x^4/3x^2 = 2^2
Triangle JKL is isosceles. The measure of angle J is 72 degrees and the measure
of angle K is 36 degrees.
Step-by-step explanation:
"which is the measure of angle L?"
the total angle measures of all angles on a triangle should always equal 180
72 + 36 = 108
180 - 108 = 72!
angle L is 72 degrees!
"which angle is the vertex angle?"
from my understanding, the angle opposite the base would be the vertex angle
since j and k are equal, we can only assume 36 is the vertex angle!
hope this helps! if so, pls give brainliest!
Answer:
hi. I'm so sorry I just need to answer some questions. I'm sorry
Solve the equation for x. -13+22=-3(x+3)
Answer:
\(x=-6\)
Step-by-step explanation:
\(-13+22=-3(x+3)\)
Switch sides:
\(-3\left(x+3\right)=-13+22\)
Solve the right side:
\(-3\left(x+3\right)=9\)
Divide both sides by -3:
\(\frac{-3\left(x+3\right)}{-3}=\frac{9}{-3}\)
\(x+3=-3\)
Subtract 3 from both sides:
\(x+3-3=-3-3\)
\(x=-6\)
Answer:
-6
Step-by-step explanation:
9=-3x-9 calculate 3x=-9-9. divide both sides 3x=-18
Sierra plays a hockey video game. She earns 5 stars for every goal she scores and loses 1/2 star every time she misses the goal. She scores 4 goals and misses the goal 8 times. How many stars does she have?
Answer:
Sierra would have 16 points
Step-by-step explanation:
5×4=20
8×\(\frac{1}{2}\)=4
20-4=16
Which one of these relationships is different than the other three? Explain how you know. Hint: Find all
of the constants of proportionality.
Answer:
Graph 2 has a different constant of proportionality
Step-by-step explanation:
See attachment for graphs
To calculate the constant of proportionality, we simply determine the slope of each graph using
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
Where x's and y's are corresponding values of x and y
Graph 1:
\((x_1,y_1) = (0,0)\)
\((x_2,y_2) = (0.8,4)\)
Substitute these values in: \(m = \frac{y_2 - y_1}{x_2 - x_1}\)
\(m = \frac{4 - 0}{0.8 - 0}\)
\(m = \frac{4}{0.8}\)
\(m = 5\)
Graph 2:
\((x_1,y_1) = (0,0)\)
\((x_2,y_2) = (10,55)\)
Substitute these values in: \(m = \frac{y_2 - y_1}{x_2 - x_1}\)
\(m = \frac{55 - 0}{10 - 0}\)
\(m = \frac{55}{10}\)
\(m = 5.5\)
Graph 3:
\((x_1,y_1) = (0,0)\)
\((x_2,y_2) = (4,20)\)
Substitute these values in: \(m = \frac{y_2 - y_1}{x_2 - x_1}\)
\(m = \frac{20 - 0}{4 - 0}\)
\(m = \frac{20}{4}\)
\(m = 5\)
Graph 4:
\((x_1,y_1) = (0,0)\)
\((x_2,y_2) = (10,50)\)
Substitute these values in: \(m = \frac{y_2 - y_1}{x_2 - x_1}\)
\(m = \frac{50 - 0}{10 - 0}\)
\(m = \frac{50}{10}\)
\(m = 5\)
From the calculations above, graph 2 has a different constant of proportionality of 5.5 while others have 5 as their constant of proportionality
The average temperature of Kopikoville was reported to be - 23° last year. This year, the average temperature of Kopikoville rose by 6°. Which of the following is true about this year's average temperature of Kopikoville? A. This year's average temperature of Kopikoville is - 29°. B. This year's average temperature of Kopikoville is - 17°. C. This year's average temperature of Kopikoville is 17°.
A retail shop is replacing their flooring with laminate wood. The floor plan is shown below. Determine the total square feet of laminate wood needed to complete the job.
===========================================================
Explanation:
As shown in the diagram below, I've drawn a blue horizontal line to split the figure into two rectangles (smaller one up top, larger down below).
The smaller rectangle up top is 25 ft by 8 ft, giving an area of 25*8 = 200 sq ft.
The larger rectangle down below is 35 ft by 25 ft so we have an area of 35*25 = 875 sq ft.
The total area is 200+875 = 1075 square feet
Notes:
We can write "square feet" as "sq ft" or as "ft^2" without quotes.The portion "5 ft", in the upper left corner, is never used.A basketball player makes 0.7 of the free throws he tries. Assuming this percentage will hold true for future attempts find the probability that in the next six tries the number of free throws he will make is: at least 4 and at most 3?
The probability that in the next six tries the number of free throws he will make is at least 4 is 0.74431 and at most 3 is 0.25569.
To find the probability for the given scenarios, we'll consider the two separate cases:
1. At least 4 free throws made:
The number of free throws the player will make in the next six tries follows a binomial distribution with parameters n = 6 (number of trials) and p = 0.7 (probability of success in each trial).
To find the probability that the player makes at least 4 free throws in the next six tries, we need to calculate the probabilities of making 4, 5, or 6 free throws, and add them up:
P(X ≥ 4) = P(X = 4) + P(X = 5) + P(X = 6)
where X is the random variable representing the number of free throws made.
Using the binomial probability formula, we can calculate these probabilities:
- Probability of making 4 free throws: (6 choose 4) * 0.7⁴ * 0.3²
- Probability of making 5 free throws: (6 choose 5) * 0.7⁵ * 0.3¹
- Probability of making 6 free throws: (6 choose 6) * 0.7⁶ * 0.3⁰
where "choose" is the binomial coefficient (6 choose 4) = 6!/(4!2!) = 15, and so on.
Getting the sum of these probabilities will give the probability of making at least 4 free throws.
P(X ≥ 4) = 0.324135 + 0.302526 + 0.117649 = 0.74431
2. To find the probability of making at most 3 free throws, we can use the complement rule:
P(X ≤ 3) = 1 - P(X ≥ 4) = 1 - 0.74431 = 0.25569
Therefore, the probability of making at least 4 and at most 3 free throws in the next six tries is:
P(3 ≤ X ≤ 4) = P(X ≤ 3) + P(X ≥ 4) = 0.25569 + 0.74431 = 1.0
This makes sense, since the player must make either at least 4 or at most 3 free throws in the next six tries, so the sum of these probabilities is 1.
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10. One contestant on a game show has
1,500 points and another contestant has
-250 points. What is the difference
between the scores of the contestants?
plssss helpppp
dalia bought a few swirl marbles and divided it equally among four of her friends and her brother jake. while playing jake lost 2 marbles and has only 7 marbles at present. find how many marbles did dalia buy in all.
A=P(1+r/n)^nt Find how long it takes for $1400 to double if it is invested at 7% interest compounded monthly. Use the formula A = P to solve the compound interest problem. TE The money will double in value in approximately years. (Do not round until the final answer. Then round to the nearest tenth as needed.)
It will take 10 years to double the amount.
Given that, the amount $1400 to double if it is invested at 7% interest compounded monthly, we need to calculate the time,
\(A = P(1+r/n)^{nt}\)
\(2800 = 1400(1+0.0058)^{12t}\)
\(2= (1.0058)^{12t\)
㏒ 2 = 12t ㏒ (1.0058)
0.03 = 12t (0.0025)
12t = 120
t = 10
Hence, it will take 10 years to double the amount.
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Bioavailability is a term that refers to the fraction of an antibiotic dose taken orally that is absorbed into the bloodstream. Suppose that, for a dosage of x mg, the bioavailability is h(x) = x mg. If x. mg enters the bloodstream, suppose that the amount eventually absorbed into the site of an infection is given by g(x) = 8x/(x+8) mg. Finally, if x mg is absorbed into the site of an infection, suppose that the number of surviving bacteria is given by f(x)= 3200/(32 + x2), measured in colony forming units, CFU.
(a) Derive the function that relates oral dosage to the number of surviving bacteria using composition of functions.
(b) Suppose the antibiotic is instead administered by injection. Derive the function that relates dosage to the number of surviving bacteria using composition of functions.
a. f(g(h(x))) = f(g(x mg)) = f(8x/(x+8) mg) = 3200/(32 + (8x/(x+8))^2) CFU
b. f(g(x)) = f(x mg) = 3200/(32 + x^2) CFU
(a) The function that relates oral dosage to the number of surviving bacteria can be derived by composing the given functions h(x), g(x), and f(x). Thus, we have:
f(g(h(x))) = f(g(x mg)) = f(8x/(x+8) mg) = 3200/(32 + (8x/(x+8))^2) CFU
(b) If the antibiotic is administered by injection, then the bioavailability is 100%, i.e. all of the dosage enters the bloodstream. Therefore, the function that relates dosage to the number of surviving bacteria can be derived using the functions g(x) and f(x) as follows:
f(g(x)) = f(x mg) = 3200/(32 + x^2) CFU
In this case, the oral bioavailability function h(x) is not needed since the injection bypasses the digestive system.
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The function relating oral dosage to surviving bacteria is f(g(h(x))) = 3200 / (32 + (8x / (x + 8))²). With injection, bioavailability is 100%, so h(x) isn't necessary and the function is f(g(x)) = 3200 / (32 + (8x / (x + 8))²).
Explanation:To address this problem, we have to understand how to construct composite functions. Bioavailability is considered in the form h(x) = x indicating that the entire dose is absorbed into the bloodstream. In turn, the amount absorbed into the site of infection is given by g(x) = 8x / (x + 8) and the number of surviving bacteria by f(x) = 3200 / (32 + x² ).
(a) When we relate the oral dosage to the surviving bacteria, we first apply the h(x) function, which is already x, then the g(x) function to the result and finally the f(x) function to that result. The total function ends up being f(g(h(x))) which simplifies to f(g(x)) = 3200 / (32 + (8x / (x + 8))²).
(b) With the antibiotic administered by injection, the h(x) function is not necessary as the bioavailability will be essentially 100%. That leaves us with the function f(g(x)) = 3200 / (32 + (8x / (x + 8))²).
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WILL GIVE BRAINLIEST
Find the value of each variable
The slope of the line through (x, 4) and (20, -2) is -1/4
PLS HELP!!!!!!
-4 is the numerical value of x which forms part of the coordinates of the points with a slope of -1/4.
What is the numerical value of x?Slope is simply expressed as change in y over the change in x.
It is expressed as;
Slope m = ( y₂ - y₁ )/( x₂ - x₁ )
Given the data in the question;
Point 1( x, 4 )
x₁ = xy₁ = 4Point 2( 20, -2 )
x₂ = 20y₂ = -2Slope m = -1/4To determine the value of x, plug the slope m, x and y values into the slope formula.
Slope m = ( y₂ - y₁ )/( x₂ - x₁ )
-1/4 = ( -2 - 4 )/( 20 - x )
-1/4 = ( -6 )/( 20 - x )
Cross multiply
-1( 20 - x ) = 4( -6 )
-20 + x = -24
x = -24 + 20
x = -4
Therefore, the numerical value of x is -4.
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The dimensions of a rectangle are given in base two, The width is 10 base two cm and the length is 11 base two cm. Find the perimeter
The perimeter of the rectangle is 10 cm.
To find the perimeter of the rectangle, we need to convert the base two dimensions to base ten and then use the formula for calculating the perimeter.
The width of the rectangle is 10 base two cm. In base ten, this is equivalent to 2 cm (since 10 base two is equal to 2 in base ten).
The length of the rectangle is 11 base two cm. In base ten, this is equivalent to 3 cm (since 11 base two is equal to 3 in base ten).
Now, we can calculate the perimeter using the formula:
Perimeter = 2 * (Width + Length)
Perimeter = 2 * (2 cm + 3 cm)
Perimeter = 2 * 5 cm
Perimeter = 10 cm
Therefore, the perimeter of the rectangle is 10 cm.
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Let g be a twice-differentiable function with g'(x) > 0 and g"(x) > 0 for all real numbers x, such that
g(3) 12 and g(5) = 18. Which of 20, 21, and 22 are possible values for g(6) ?
(A) 21 only
(B) 22 only
(C) 20 and 21 only
(D) 21 and 22 only
g(6) must be greater than 21 which is 22 only.
What is function?In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable.
Since g'(x) > 0 for all x and we know that g(x) is an increasing function.
Additionally, since g"(x) > 0 for all x, we know that g(x) is a concave-up function.
Since g(x) is increasing, we know that g(6) > g(5) = 18.
Now, we can use the fact that g(x) is concave-up to find a lower bound on g(6).
By the definition of concave-up, we know that the slope of the tangent line to g(x) is increasing.
This means that the slope of the line connecting (3,g(3)) to (5,g(5)) is less than the slope of the line connecting (5,g(5)) to (6,g(6)).
Using this information, we can find a lower bound on g(6):
g(5)- g(3) / (5-3) < g(6)- g(5)/ (6-5)
18- 12/2 < g(6)- 18
3 < g(6) - 18
g(6) > 21
Therefore, g(6) must be greater than 21.
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refer to table 13-12. firm 4's efficient scale occurs at what quantity?
The firm 4's efficient scale occurs at 4
In this question, we have been given a table of long-run total cost and the quantity.
We need to find the quantity at which the firm 4's efficient scale occurs.
We know that the efficient scale occurs at the quantity of output where average total cost is minimum.
For the firm 4 the average total cost would be,
(210 + 340 + 490 + 660 + 850 + 1060 + 1290) / 7
= 4900 / 7
= 700
This value is clsoe to 660.
Therefore, the firm 4's efficient scale occurs at quantity 4.
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Given question is incomplete.
ABC
A rectangular prism has a volume of 990 feet cubed, a width of 9 feet, and a height of 10 feet. What is the measure of the length of the
prism
An agent is listing a 2 story property which measures 26’X28’. Comparable properties are selling for $143 dollars per square foot plus $54,350 land. What is the value of the listing?
Multiply this result by two (it's a 2-story house); then, multiply it by the cost per square foot and add the land cost.
\(\begin{gathered} V=2\cdot728\cdot143+54350 \\ \Rightarrow V=262558 \end{gathered}\)Then, the value of the listing is $262558
Help please i need help
Answer:
-0.71
Step-by-step explanation:
Write in exponent form.
\(\sqrt[a]{7^b}=7^{\frac{b}{a}}\\\\\\ \sqrt[4]{7^9}=7^{\frac{9}{4}}\)
Use law of exponents to simplify the equation.
\(\boxed{a^m * a^n = a^{m+n} \ and \ \dfrac{a^m}{a^n}=a^{m-n}}\)
\(\sf 7^{\frac{13}{4}}*\sqrt[a]{7^b} =7^{\frac{2}{7}}*\sqrt[4]{7^9}\\\\ 7^{\frac{13}{4}}*7^{\frac{b}{a}}=7^{\frac{2}{7}}*7^{\frac{9}{4}}}\\\\7^{\frac{b}{a}}}= \dfrac{ 7^{\frac{2}{7}}*7^{\frac{9}{4}} }{7^{\frac{13}{4}}}\)
\(=7^{\frac{2}{7}+\frac{9}{4}-\frac{13}{4}}\\\\=7^{\frac{-5}{7}}\\\\=7^{-0.71}\)
Answer:
number 3
Step-by-step explanation:
as if you subract the two values that should be the answer.
what is 9x36=? im tring not to use a calculater
Answer:
324
Step-by-step explanation:
36+36+36+36+36+36+36+36+36=324
it's pretty simple math, use a piece of paper if you need to next time.
I hope I could help!
Divide.
2/3÷4/5 please help!!!
Answer:
5/6
Step-by-step explanation:
2/3 ÷ 4/5
~Copy Dot Flip
2/3 * 5/4
~Multiply
10/12
~Simplify
5/6
Best of Luck!
Answer:
5/6
Step-by-step explanation:
Keep Change Flip
2/3 x 5/4 = 10/12
10/12 simplifies to 5/6
please help me answer this question asap
Answer:
It's quite easy
Step-by-step explanation:
people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23
Therefore there are 23 people less than 30 years old.
pls mark me as brainliest pls.
A line segment has endpoints (−3,−14) and (7,6) Which point could partition the line segment into the ratio 1:4?
\(\\ \sf\longmapsto P(x,y)=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)\)
\(\\ \sf\longmapsto P(x,y)=\left(\dfrac{(1)(-14)+(4)(-3)}{1+4},\dfrac{(1)(7)+(4)(6)}{1+4}\right)\)
\(\\ \sf\longmapsto P(x,y)=\left(\dfrac{-26}{5},\dfrac{31}{5}\right)\)
Everyone I really need the answers now I know that the points I offer are not much but I need I really need someone to answer this. Thank you to whoever answers
Volume = 6³ dm³
Volume = 216 dm³
Volume of rectangular prism = L × W × HVolume = 10 × 8 × 6 cm³
Volume = 480 cm³
Volume of pyramid = 1/3 base area × hVolume = 1/3 × 14 × 17 × 12.86 cm³
Volume = 1020.226 cm³
Volume of Cylinder = πr²hVolume = 3.14 ×6.5² × 5 m³
Volume = 663.325 m³
Volume of Cone = 1/3 πr²hvolume = 1/3 × 18.5² × 16 cm³
Volume = 1825.3 cm³
Volume of Sphere = 4/3 πr³Volume = 4/3 ×3.14 × 7³ m³
Volume = 1436.026 m³
HELP ASAP FOR BRAINLIEST
Answer: 1, 2, and 4
Step-by-step explanation:
In a survey of 500 cars, 245 were white, 25 were blue and 130 were red.
The others were silver. Express each of these numbers as a percentage of
the total.
Answer:
245 = 245/500 x 100% = 49%
25 = 25/500 x 100% = 5%
130 = 130/500 x 100% = 26%
silver = 100% - 49+5+26 =
20%
Subtract -3x^2 + 4x +10 from 2x^2 - 2x
Answer:
Step-by-step explanation:
2x^2 - 2x + 3x^2 - 4x
5x^2 - 6x
Hey there!☺
\(Answer:\boxed{5x^2+2x+10}\)
\(Explanation:\)
\(2x^2-2x--3x^2+4x+10\)
First, simplify both sides:
\(2x^2+-2x+3x^2+4x+10\)
Now combine like terms:
\((2x^2+3x^2)+(-2x+4x)+(10)\\5x^2+2x+10\)
\(5x^2+2x+10\) is your answer.
Hope this helps!
An arts academy requires there to be 3 teachers for every 54 students and 6 tutors for
every 60 students. How many students does the academy have per teacher? Per tutor? How many
tutors does the academy need if it has 130 students?
Answer: The academy has 18 students per teacher. The academy has 10 students per tutor. The academy needs 13 tutors for 130 students.
Step-by-step explanation:
54/3=18
60/6=10
130/10=13
Answer:
The academy has 19 students per teacher.
The academy has 12 students per tutor.
The academy needs 12 tutors.
Step-by-step explanation: