Answer:
13
Step-by-step explanation:
Basically, we have to plug in 4 for r into g(r). Doing so gives us g(4) = 25 - 3 * 4 = 25 - 12 = 13.
Some more examples:
g(6) = 25 - 3 * 6 = 25 - 18 = 7
g(1) = 25 - 3 * 1 = 25 - 3 = 22
Answer:g(4)=13
Step-by-step explanation:
g(4)=25-3r
25-3(4)
25-12
g(4)=13
Answer ASAP, will give brainliest
Answer:
A) 5.4 cm
Step-by-step explanation:
Length of mid segment = (sum of parallel sides )/2
Sum of parallel sides = PQ + SR = 9 + SR
[tex]\frac{9+SR}{2}=MN\\\\\frac{9+SR}{2}=7.2 cm\\9 +SR = 7.2*2\\\\9 + SR = 14.4\\ SR = 14.4 -9 \\SR = 5.4 cm[/tex]
The hotel bill for a number of people for overnight stay is ₹4800. If there were 4 more the bill of each person had to pay would have reduced by ₹200. Find the number of people staying over night
Answer:
8
Step-by-step explanation:
Given hotel bill = ₹4800
Let initially, number of people = [tex]x[/tex]
Initial Bill of each person = Hotel bill divided by number of people = [tex]\frac{4800}{x}[/tex]
4 people are added to the hotel stay.
i.e. new number of people = [tex]x+4[/tex]
New bill becomes ₹200 less for each person.
New bill for each person = [tex]\frac{4800}{x}[/tex] - 200
Hotel bill remains the same i.e. ₹4800 = New bill for each person multiplied by new number of people.
[tex]4800 = (\dfrac{4800}{x}-200) (x+4)\\\Rightarrow 4800 = \dfrac{4800}{x}\times x -200\times x + \dfrac{4800}{x}\times 4 - 200\times 4\\\Rightarrow 4800 = 4800 -200 x + \dfrac{4800}{x}\times 4 - 800 \\\Rightarrow 800 = -200x+\dfrac{19200}{x}\\\Rightarrow 4 = -x+\dfrac{96}{x}\\\Rightarrow x^2+4x-96=0 \\\Rightarrow x^2+12x-8x-96=0\\\Rightarrow x(x+12)-8(x+12)=0\\\Rightarrow \bold{x = 8}, x= -12\ not\ possible[/tex]
The length of a garden is 64m. The width is 24m. Posts for a fence will be made at equal distances around the garden, as far apart from each other as possible. How far apart can the posts be?
Answer:
Step-by-step explanation:
The maximum possible distance between two posts for the fence will be given by HCF ( highest common factor ) of 24 and 64
24 = 8 x 3
64 = 8 x 8
highest common factor is 8 .
So distance between two poles ( maximum separation ) will be 8 m .
Ans : 8 m .
How would you write 7 is subtracted from the cube of a number
Answer:
n³ - 7
Step-by-step explanation:
n³ - 7
The required expression for the 7 subtracted from the cube of a number is x³- 7.
Given that,
A string of statements is given,
Here, we have to transform the statement, 7 is subtracted from the cube of a number into a mathematical inscription.
Arithmetic, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
What is an expression?A mathmetical expression is formulated structure of a statement using variables.
Let the number be x,
Now 7 subtracted from the cube of number x
= x³ - 7
Thus, the required expression for the 7 subtracted from the cube of a number is x³- 7.
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assume the initial velocity is 60 feet/second. what is the maximum horizontal distance possible and at what angle does this occur
Answer:
h = 112.5 feets
Step-by-step explanation:
The equation for horizontal distance "h" in feet of a projectile with initial velocity v₀ and initial angle theta is given by :
[tex]h=\dfrac{v_o^2}{16}\sin\theta\cos\theta[/tex]
We know that, [tex]2\sin\theta\cos\theta=\sin2\theta[/tex]
So,
[tex]h=\dfrac{v_o^2}{32}\sin2\theta[/tex]
Now we need to find the maximum horizontal distance possible and at what angle does this occur.
For maximum distance angle should be 45 degrees. Som,
[tex]h=\dfrac{60^2}{32}\sin2(45)\\\\h=112.5\ \text{feet}[/tex]
So, 112.5 feets is the maximum possible distance.
You have this information about ΔABC, ΔFDE, and ΔGIH:
AB = DF
AB = GI
BC = HI
DE = HI
m∠B = m∠D = m∠I
Which triangles must be congruent?
The triangle ABC, triangle FDE, and triangle GIH are congruent with each other.
What is a triangle?Three sides and three internal angles define a triangle, a basic shape. The symbol is used to represent one of the geometric shapes in which the three corners are connected to one another. Triangles are categorized according to their sides into numerous different forms.
As per the given data in the question,
Sides AB = DF, AB = GI, BC = HI, and DE = HI are equal to each other.
Also, the angles, m∠B = m∠D = m∠I are equal.
Then by the property of the side angle side all the triangles are congruent with each other.
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Answer:
A. ΔABC, ΔFDE, and ΔGIH
David is selling floral arrangements. Each arrangement uses 1 vase and 12 roses. Each vase costs David $2.00. Let C be the total cost of the arrangement and r be the cost of 1 rose. Which equation should David use to find the total cost of each arrangement? C = 12r + 2 12 = C + 2r C = 2r + 12 12C = r + 12
Answer:
C = 12r + 2Step-by-step explanation:
To model the equation for the cost of Each Arrangement.
We need to itemize all parameters needed.
An arrangement consists of
1. one vase
2. twelve roses
Given that 1 vase cost $2 and
The cost of one rose is r
Let the total cost of the arrangement be C
Hence C is the cost of the vase plus the cost of 12 roses combined, this is given as
[tex]C = 12r + 2[/tex]
Please help with the question!!!!!
Start with the parent function [tex]y = |x|[/tex] which is a V shape graph that has its vertex at (0,0) and it is the lowest point. Every point has a positive y coordinate other than the vertex of course.
Reflect over the y axis to get [tex]y = -|x|[/tex], so now everything is negative or below the x axis, other than the vertex point.
Lastly, shift everything up 1 unit by adding 1 onto the right side getting [tex]y = -|x|+1[/tex]
Answer:
y=absolute value brackets -x end absolute value brackets +1
Step-by-step explanation:
this is the equation that matches
. Over the next two days, Clinton Employment Agency is interviewing clients who wish to find jobs. On the first day, the agency plans to interview clients in groups of 2. On the second day, the agency will interview clients in groups of 4. If the employment agency will interview the same number of clients on each day, what is the smallest number of clients that could be interviewed each day?
Answer:
4
Step-by-step explanation:
Given that :
Clients are interviewed in groups of 2 on the first day; meaning two persons at a time
Second day, clients are interviewed in groups of 4; meaning 4 persons at a time.
Therefore, if the same number of clients are to be interviewed on each day, the smallest number of clients that could be interviewed each day could be obtained by getting the Least Common Multiple of both numbers: 2 and 4
- - - - 2 - - - 4
2 - - - 1 - - - 2
2 - - - 1 - - - 1
Therefore, the Least common multiple is (2 * 2) = 4
Therefore, the smallest number of clients that could be interviewed each day is 4.
write down the missing number in the following 1,,4,9,16,25,?
Answer:
36
Step-by-step explanation:
you know the number based on the sequence
the values increase in the form of x+2
e.g. 4-1=3
9-4=5
16-9=7
25-16=9
you can see the number adds 2 for every increased number
and by following this sequence you will get the number 36
Answer:
by the square of 1, 2 ,3 the sequence has been made
Step-by-step explanation:
1 for 1²
4 for 2²
9 for 3²
16 for 4²
25 for 5²
so the later one will be 36 for 6²
so the answer is 36 thats all
Sophie is making a copy of an angle. The original angle will be labeled G and the new angle will be labeled B. She has just finished using a compass, with the point on G, to draw an arc that intersects both rays of angle G. Which of the following should she do next
Answer:
The next step is;
Label the two intersection points
Step-by-step explanation:
To make a copy of an angle, the steps are;
1) Draw the rays of the original angle passing through the point B
2) Open the compass slightly and place the compass point on the vertices G where the two rays meet to draw an arc that intersect both rays
3) Label the point of intersection of both rays points C and D
4) With the compass still opened to the same width, move the compass to the point B on the line the angle is to be copied and draw a similar arc intersecting the ray at J
5) Open the compass to the width of C and D on the original angle and place the compass at point J to mark the arc on the copied angle location at M
6) Draw a line from B passing through M to complete the second ay of the copied angle.
Find conditions on the slope of a line through (9, 4) such that the x-intercept is negative and the slope is greater than its y-intercept. 2/5 < m < 4/9 m < 2/5 or m > 4/9 9/5 < m < 9/4 m < 9/5 or m > 9/4 Not enough information
Answer:
9/5 < m < 9/4
Step-by-step explanation:
The conditions are:
The line passes through (9,4)x-intercept is negativeThe slope (m) is greater than its y-interceptIf we take a point like (-1,0)
Slope (m) = change in y ÷ change in x = [tex]\frac{0 - 9}{-1 - 4} = \frac{-9}{-5}[/tex] = 9/5
This point satisfies the conditions above since;
The line passes through points (9,0) and (-1,0)The x-intercept is negative i.e -1The y-intercept is 0 and the slope which equals 9/5 is greater than 0From the choices given;
we can say that:
m > 9/5 and m < 9/4
And can be expressed as;
9/5 < m < 9/4
Solve 18n - 7p-15n = 5p for n.
A n = 1
B. n=2p
C. n = 1/2
D. n=4p
Answer:
The answer is option DStep-by-step explanation:
18n - 7p-15n = 5p
To solve for n first make n the subject
Group like terms
That's
18n - 15n = 5p + 7p
Simplify
3n = 12p
Divide both sides by 3 to make n stand alone
That's
3n/3 = 12p/3
We have the final answer as
n = 4pHope this helps you
Answer:
D) n = 4p
Step-by-step explanation:
18n - 7p - 15n = 5p
18n - 15n = 5p + 7p
Add like terms
3n = 12p
Divide both sides by 3
3n/3 = 12p/3
n = 4p
12. a trader gained 15% by selling an
article for N1560.00, what is the cost
price of the article?
Answer:
N1356
Step-by-step explanation: I hope it helps :)
[tex]Profit \% = 15\%\\Selling -Price = N1560.00\\C.P = ?\\\\CP = ( SP \times 100 ) / ( 100 + percentage \: profit).\\C.P =\frac{Selling \:price \times 100}{100+ Profit \%} \\\\C.P = \frac{1560\times 100}{100+15} \\\\C .P = \frac{156000}{115} \\\\C.P =N1356.5[/tex]
12 divided by 458 in long division please answer correctly please help.
Answer:
600 is the missing space
Step-by-step explanation:
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A group of engineers developed a new design for a steel cable. They need to estimate the amount of weight the cable can hold. The weight limit will be reported on cable packaging. The engineers take a random sample of 43 cables and apply weights to each of them until they break. The 43 cables have a mean breaking weight of 774.3 lb. The standard deviation of the breaking weight for the sample is 15.4 lb. Find the 90% confidence interval to estimate the mean breaking weight for this type cable.
Answer:
At 90% confidence interval, the estimate of the mean breaking weight is (770.45, 778.15)
Step-by-step explanation:
Given that:
sample size n =43
sample mean x = 774.3
standard deviation = 15.4
confidence interval = 90%
At C.I of 90% , the level of significance ∝ = 1 - C.I
the level of significance ∝ = 1 - 0.90
the level of significance ∝ = 0.10
The critical value for z at this level of significance is [tex]z_{\alpha/2} = z_{0.10/2}[/tex]
[tex]z_{0.05}[/tex] = 1.64
The margin of error can be computed as follows:
Margin of error = [tex]\mathtt{z_{\alpha/2} \times \dfrac{\sigma}{\sqrt{n}}}[/tex]
Margin of error = [tex]\mathtt{1.64 \times \dfrac{15.4}{\sqrt{43}}}[/tex]
Margin of error = [tex]\mathtt{1.64 \times \dfrac{15.4}{6.5574}}[/tex]
Margin of error = [tex]\mathtt{1.64 \times2.3485}[/tex]
Margin of error = 3.8515
The mean breaking weight for the 90% confidence interval is = [tex]\mathtt{\overline x \pm E < \mu }[/tex]
= [tex]\mathtt{\overline x - E < \mu < \overline x + E}[/tex]
= ( 774.3 - 3.8515 < μ < 774.3 + 3.8515 )
= (770.4485, 778.1515)
[tex]\simeq[/tex] (770.45, 778.15)
16+6-6x-4=-7x+3+7
how to solve for x
Answer:
x = -8
Step-by-step explanation:
16+6-6x-4=-7x+3+7
Combine like terms
18 -6x = -7x+10
Add 7x to each side
18-6x+7x = -7x+7x+10
18+x = 10
Subtract 18 from each side
18+x-18 = 10-18
x = -8
Answer:
x = -8
Step-by-step explanation:
16+6-6x-4 = -7x+3+7
18 - 6x = -7x + 10
-6x + 7x = 10 - 18
x = -8
Check:
18 - 6*-8 = -7*-8 + 10
18 + 48 = 56 + 10 = 66
When dividing polynomials using factorization, canceling identical factors in the denominator and the numerator will give the _______.
Answer:
quotient
Step-by-step explanation:
Answer:
quotient
Step-by-step explanation:
Cancelling identical factors in the numerator and the denominator will give the quotient. For example,x2+5x+6x+3=(x+2)(x+3)x+3 = x + 3
A player has 15 hits in 34 times at bat and then gets another hit. Did the batting average increase explain
PLEEEEEASSSEEEHELP ME 6TH GRADE MATH
Answer:
8-1
Step-by-step explanation:
theres 8 boxes they crossed off one of them, now theres 7
AB =
Round your answer to the nearest hundredth.
B
?
2
25°
С
A
Answer:
? = 4.73
Step-by-step explanation:
Since this is a right triangle we can use trig functions
sin theta = opp / hyp
sin 25 = 2 / ?
? sin 25 = 2
? = 2 / sin 25
? =4.732403166
To the nearest hundredth
? = 4.73
you took a 20 question test and received a 65% on the test. how many question did you answer correctly
The research chemists at MegaClean created a new cleaner that keeps car and truck tires shiny and clean for one year. They believe that this product will be highly successful and will attract customers to purchase their existing line of household cleaning products.
Answer:
Complementary effect
Step-by-step explanation:
Complementary goods service is another good or item used in conjunction with the service. In general, complementary goodness does not matter when eaten alone, but when combined with another good or service, it increases the overall value of the offering. When a product shares a lucrative relationship with another product offering it is considered an affiliate, for example, an iPhone and apps used with it, so that this is good example of Complementary effectAnswer ASAP, Will give brainliest!!
Find the length and the mid- segment
Isosceles Trapizoid
AB=48
BC=19
CD=24
DA=19
Answer:
Step-by-step explanation:
Length of mid-segment = [tex]\frac{(AB+CD)}{2}[/tex]
[tex]= \frac{48 +24}{2}\\\\\\=\frac{72}{2}\\\\[/tex]
= 36 in
Each day that a library book is kept past its due date a 30 dollar fee is charged at midnight which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee
THIS IS THE COMPLETE QUESTION BELOW;
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?
Answers:
(–3, –0.90)
(–2.5, –0.75)
(4.5, 1.35)
(8, 2.40)
Answer
(8, 2.40)
Step by step Explanation
✓We can denote the number of days library book is late = X,
✓We can denote the the total fee = Y.
We were told $0.30 fee is charged at midnight.
Then for lateness for just 1day,the charged fees= 1day ×
$0.30
For X number of days the charged fees= Xday ×$0.30
Therefore, total charge for lateness for X number of days late = Y.
Then can be expressed as
Y= 0.30 * X...............eqn(1)
We can now test the option one after the other
FIRST OPTION (-3, -0.9)
Here we should know the number of days cannot be negative so there is no need of testing in the equation (1)
SECOND OPTION (-2.5, -0.75)
Here we should know the number of days cannot be negative so there is no need of testing in the equation (1)
THIRD OPTION(4.5, 1.35)
here the number of days will definitely be a whole number not 4.5, it's either
charge for 4 days or 5 days.
FORTH OPTION (8, 2.40)
this should be correct because the number of days is whole number and not negative, then if we test it from our equation it satisfy the equation too
Y= 0.30 * X...............eqn(1)
Y= 0.30 * X
2.40= 0.30 * 8
2.40 = 2.40.
Therefore, (8, 2.40) is the answer
Find the missing length. A. 60 B. 80 C. 64 D. 15
Step-by-step explanation:
the answer to the question is C. 64.
Let f(x)=logx. What is the average rate of change of f(x) from 2 to 3? Round to the nearest hundredth.
Answer:
Below
Step-by-step explanation:
Let m be the average rate of change.
● m = (f(3)-f(2)) / 3-2
● m = ( log3 - log2) / 1
● m = 0.176
Round it to the nearest tenth
● m = 0.18
1. Check the divisibility of the following numbers by 2, 3, 9 and 11 a) 76543 b) 98765436
2. Which of the following numbers are divisible by 4 or 8? a) 67894 b) 9685048
WILL MARK THEM AS BRAINLIST
Answer:
1. ( I didnt understand the question but I divided them using the calculator.)
A.) 76543
÷ 2= 38,271.5
÷ 3= 25,514.333...
÷ 9= 8,504.777...
÷ 11= 6,958.454545...
B.) 98765436
÷ 2= 49,382,718
÷ 3= 32,921,812
÷ 9= 10,973,937.333...
÷ 11= 8,978,676
2. B
A.) 67894
÷ 4= 16,973.5
÷ 8= 8,486.75
B.) 9685048
÷ 4= 2,421,262
÷ 8= 1,210,631
Explanation:
I used the calculator to divide.
I hope this helps! I'm sorry if it's wrong.
Reduce 102/126 to its lowest terms
Answer:
17/21
Step-by-step explanation:
102/126
Divide the top and bottom by 6
17/21
Answer:
17/21
Step-by-step explanation:
102/2=51 126/2=63
51/3=17 63/3=21
17/21
The number of boxes of cookies you buy or the amount the cookies will cost in dollars which one is independent vairable
Answer:
Step-by-step explanation:
When you go shopping for anything, you know that the more of that something you buy, the more money you are going to spend. In other words, the amount of money you spend depends directly upon the amount of stuff you buy. So the number of boxes of cookies you buy is the independent variable and the amount of money you spend on the cookies is the dependent variable.