Answer:
8 ft
Step-by-step explanation:
Use the direct variation equation, y = kx, where k is a constant.
Change the equation to fit the variables: L = kH
Plug in the given length of the shadow and the height of the object, then solve for k:
L = kH
27 = k(12)
2.25 = k
So, the equation is L = 2.25H
Then, plug in 18 as L, and solve for H:
L = 2.25H
18 = 2.25H
8 = H
So, when the shadow is 18 feet, the height of the object is 8 ft
In a parking lot, 30% of the cars have a GPS. Write this as a decimal.
flesson 3)
Answer:
0.3
Step-by-step explanation:
30% out of 100% is 30/100 or 3/10. 3/10 as a decimal is 0.3.
If this helped I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Answer:
0.3
Step-by-step explanation:
30/100= 0.3
You get the 100 as all percentages add up to 100% if 30% of the cars have GPS then you will need to do 30/100 (the whole) to get your answer :)
Max placed 6 cans in a box and the box was 40% full.How many cans will the box be able to hold when it’s completely full?
Answer:
4 cans
Step-by-step explanation:
this can be 4 cans because if 6 cans equal 40% it's opposite so 4 cans equal 60% so full is 100% so 60%+40%=100%
) Write an expression to show the amount of
soup Marta has left. Let s equal the number
of ounces of soup Marta makes.
2
S
32
Answer:
s-32
Step-by-step explanation:
i got it correct:)
S-32 is the expression to show the amount of soup Marta has left
What is Expression?An expression is combination of variables, numbers and operators.
Given,
Marta makes S ounces of soaps.
She always freezes 32 of the soap for remaining.
We need to find the expression to show the amount of soup Marta has left.
This can be done by the expression
S-32
where S is the number of ounces.
Hence, S-32 is the expression to show the amount of soup Marta has left
To learn more on Expressions click:
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What is the measure of AC?
DE is 30, so AD is also 30
A full circle is 360
ACE = 360- Ad-de
Ace = 360-30-30 = 300
Ac is half of ace
Ac = 300/2 = 150
The answer is b 150
Write a proportion to represent the scenario. Then Solve.
Katniss shot 12 arrows in 20 seconds. How long will it take Katniss to shoot 60 arrows? Let t represent time to shoot 60 arrows.
Answer:
100 seconds
Step-by-step explanation:
12 arrows in 20 seconds
60 is 5 times of 12
multiply 20 by 5
factor 2w+6
Please explain? I'd like to understand how you did it so that I can do it myself the next time, thanks a mil :)
Answer:
2( w + 3 )
Step-by-step explanation:
Well first off, since theres no common term to factor out, I had to split 6 in half
so 2 w + 6 becomes 2w + 2 x 3.
I then factored out 2 because it's a common term,
which then leaves: 2( w + 3 )
basically, you have to find a common term to factor out, if you don't see one, you have to do something to a number so there's common terms.
If Triangle ABC is congruent to Triangle SRT, find the possible value(s) for x
Answer:
x = 2 or x = -3
Step-by-step explanation:
Given that ∆ABC ≅ ∆SRT, it follows that their corresponding side lengths are congruent to each other.
Thus:
[tex] RT = BC [/tex]
[tex] (x^2 + x) = 6 [/tex]
Solve for x
[tex] x^2 + x = 6 [/tex]
Subtract 6 from each side
[tex] x^2 + x - 6 = 6 - 6 [/tex]
[tex] x^2 + x - 6 = 0 [/tex]
Factorise
[tex] x^2 + 3x - 2x - 6 = 0 [/tex]
[tex] x(x + 3) -2(x + 3) [/tex]
[tex] (x - 2)(x + 3) [/tex]
x = 2 or x = -3
Find the two partial products in this problem.
1,407x14
Answer:
1,407
x 14
_______
5,628
+ 1,4070
______
19,698
The two partial products are 5,628 and 14,070
what is the slope intercept form of y-125=6(x-10)
Write the equation of a line that passes through the points (-2, 3) and (-4, 4) in slope intercept form (y=mx+b).
Step-by-step explanation:
first step is to find the gradient of the line which "m" on the equation
gradient formula is y2 - y1 ÷ x2 - x1 = -½ as shown on the picture we substituted those points given
2nd step is to substitute on the equation y=mx+c
m= -½
y= 3 (you can choose any from those given points but in my case I chose point A)
x= -2
c= ? only unknown variable so we can can calculate it
substitute as shown on the picture to get c= 2
therefore our equation of the line will be y= -½x+2
Write the integer to represent the statement. 5ft below sea level
Zachary found a string of pearls
that was 4 3/4 pounds. He found
another that was 3 1/2 pounds. How
many pounds of pearls did
Zachary find?
Answer:
He has 8 1/4 or 8.25 pounds of pearls
Step-by-step explanation:
4 3/4 + 3 1/2
You change 3 1/2 to 3 2/4 and then add them normal and change the improper fraction to a mixed number.
Which list shows how many equal sized groups of 28 students Ms. Lee can make
Answer:
1,2,4,7,14, or 28
Step-by-step explanation:
I got it right
A principal of $835 is invested in an account at 2% per quarter simple
interest. Which of the following sequences describes the dollar amount of
principal in the account at quarterly intervals?
A. 66.80, 133.60, 200.40, 267.20, 334.00, ...
B. 835.00, 851.70, 868.40,885.10, 901.80, ...
C. 835.00, 901.80, 968.60, 1,035.40, 1,102.20, ...
D. 16.70, 33.40, 50.10, 66.80, 83.50,...
E. 835.00, 851.70, 868.73, 886.11, 903.83, ...
Answer E
Step-by-step explanation: The first number is 835 as this is how much you have in the bank to begin with. Work out 2% of 835.
Help me will give brainliest
Answer:
18.2
Step-by-step explanation:
A way we can find the average is by finding the mean.
Mean is found when you add up all the numbers and divide by the total amount of values there are.
In this case there are 5 values in total.
[tex]\frac{17+24+19+17+14}{5}[/tex] = 91/5 = 18.2
Answer:
18.2
Step-by-step explanation:
add all values together and divide by number of values.
17+ 24+ 19+ 17+14
then divide by 5
Please only answer this if you know the answer otherwise I will REPORT you thanks. This one is hard so I offers a lot of point. ONLY answer when you know the answer.
The answer is (C) 12+10[tex]\sqrt{3\\[/tex] !
I need help with this math work
9514 1404 393
Answer:
see attached
Step-by-step explanation:
If you plot the points on the graph, you notice that the run (change in x) is 3 for each "rise" (change in y) of -1, so the slope is ...
m = rise/run = -1/3
The middle point is on the y-axis, so is the y-intercept.
In slope-intercept form, the equation is ...
y = mx + b . . . . . . where m is the slope (-1/3) and b is the y-intercept (4)
y = -1/3x +4 . . . . equation
help me please reeeee
Answer:4/5 and 2 3/5
Step-by-step explanation:
(Ill be giving brainliest to who ever helppppss me!! :D)
Solve one and three fourths times two fourths.
A) fourteen sixteenths
B) fifteen sixteenths
C) seventeen sixteenths
D) eighteen sixteenths
Answer:
Option A
Step-by-step explanation:
In order to find the answer to this question you must change the mixed numbers into improper fractions and then solve.
[tex]1\frac{3}{4} \times\frac{2}{4}[/tex]
Convert into improper fraction:
[tex]4\times1=4+3=7[/tex]
(Remember to keep the denominator the same)
[tex]\frac{7}{4} \times\frac{2}{4}[/tex]
Now multiply:
[tex]7\times2=14[/tex]
[tex]4\times4=16[/tex]
[tex]=\frac{14}{16}[/tex]
Hope this helps.
Answer:
14/16
Step-by-step explanation:
How many grade seven students of koronadal national comprehensive high school are there in all
The complete question is;
The following diagram(attached) shows how all the Grade Seven students of
Koronadal National Comprehensive High School go to school.
How many grade seven students of koronadal national comprehensive high school are there in all
Answer:
269 students
Step-by-step explanation:
From the venn diagram attached, we can see various given numbers of the students of the different modes of transport to school.
To get how many grade 7 students there are in total, we will add all the students inside the venn diagram simply because the set of grade 7 students are represented by those inside the venn the venn diagram while the number 100 outside the venn diagram is not a member of the set of grade 7 students which we are dealing with.
Thus,
Total number of grade 7 students = 76 + 19 + 15 + 17 + 55 + 20 + 67 = 269
In order to assess the opinion of students at the University of Minnesota on campus snow removal, a reporter for the student newspaper interviews the first 12 students he meets who are willing to express their opinion. The method of sampling used is:________.a. a censusb. a cluster samplec. a voluntary response sampled. a convenience samplee. a simple random sample
Answer:
Convenience sampling
Step-by-step explanation:
When a researcher gives more credence to ease when performing its sampling procedure, such sampling process may be referred to as convenience sampling. As described in the scenario above, rather than having to take a Systematic approach at examining the population so as to decide on the best sampling strategy to employ, the reporter of the student newspaper decides to take the easy path towards gathering the opinion of students by interviewing the first 12 students who are willing to give their opinion without any further consideration. Here, the reporter failed to eliminate any sort of possible bias which may be present, as all was sacrificed for the sake of convenience or ease.
Solve for x: −7 x > 9
There's not much to do here.
-7x > 9
Divide both sides by -7. When dividing by a negative number, you must reverse the inequality sign.
x < -9/7
Done.
A person picking apples stand on a ladder 3.0 m above the ground. He throws them into
a basket 2.0 m away. How fast must the person throw the apple in order for it to land in
the basket?
Which choice includes two pairs of adjacent angles from the coordinate plane? 2 6 3 4 an 21 and 24, 22 and 25 26 and 25. 23 and 2 Z6 and 24. 21 and 23 © Z4 and Z5, Z2 and 26
Answer:
you need to subtract those number in one whole and like this 2 6 3 4 an 21 and 24, 22 and 25 26 and 25. 23 and 2 Z6 and 24. 21 and 23 © Z4 and Z5, Z2 and 26 the answer is -221
Step-by-step explanation:
The two pairs of adjacent angles from the coordinate plane are as follows;
∠ 6 and ∠ 5
∠ 3 and ∠ 2
Adjacent anglesAdjacent angles are angles that have a common side and a common vertex.
Therefore, the two pairs of adjacent angles are as follows;
∠ 6 and ∠ 5∠ 3 and ∠ 2learn more on adjacent angles here: https://brainly.com/question/20537672
2. Si Maria decide recortar rectangulos, de área igual a 0.03 m?, ¿Cuántos rectángulos obtendrá de la cartulina?
a) 6 rectangulos
b) 60 rectangulos
c) 15 rectangulos
150
d)
rectángulos
Responder:
60 triángulos
Explicación paso a paso:
La pregunta está incompleta. No se dio el área del cartón. Digamos que la dimensión del cartón es de 2 m por 0,9 m.
Área del cartón = Largo * Ancho
Dado;
Longitud = 2 m
Ancho = 0,9 m
Área del cartón = 2 * 0.9
Área del cartón = 1.8m²
Si María decide recortar rectángulos con un área igual a 0.03 m², la cantidad de rectángulos que puede obtener del tablero se expresa como;
Número de rectángulos = área del cartón / área de cada parte recortada
Número de rectángulos = 1.8 / 0.03
Número de rectángulos = 60 rectángulos.
Por tanto, el número de rectángulos que puede recortar es de 60 rectángulos.
Tenga en cuenta que se asumió el área del rectángulo y que se puede emplear el mismo cálculo para cualquier otra dimensión dada.
helppp me please will give brainliest
Answer:
y=-2x+11
Step-by-step explanation:
Calc BC problems. Need work
Answer:
f'(0) = -2
f'(-2) = dne
[tex]\lim_{h \to 0^+} \frac{f(2+h)-f(2)}{h} = \text{does not exist}[/tex]
Step-by-step explanation:
The question specifically asks us to use the graph of the function to evaluate the following problems.
In order to find the derivative of a function at a specific point on the graph:
Choose the point on the graph where you want to find the derivative.Figure out the tangent line to this point; this will be the line tangent to the curve of the graph at this point.The slope of this tangent line is the derivative at this certain point on the graph.In order to find f'(0), find x = 0 on the graph. This is at the origin. Now, draw a line tangent to the curve of the graph at x = 0.
This tangent line will follow the same direction as the original function. So, we want to find the slope tangent line now - we can do so by finding the slope of the graph between the interval [-2, 2].
Slope of tangent line for f'(0):
Slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] Use coordinate points (-1, 2) and (1, -2)Slope of tangent line: [tex]\frac{-2-2}{1-(-1)} = \frac{-4}{2} =-2[/tex]The slope of the tangent line for f'(0) is -2, therefore, this is the derivative at this point on the graph.
This is solving the problem graphically/algebraically, but you could also look at the graph and determine the rise/run in your head. Your choice.
Now, for f'(-2), we cannot use the same process as before since the graph shows that there is a sharp point at x = -2. This is called a "corner" and means that while the function is continuous, it is not differentiable.
Therefore, we can write that at f'(-2), the derivative does not exist (dne).
The same process occurs for f'(2), since there is a sharp point here. The derivative, based on the graph, does not exist.
SAT scores have been found to predict 36% of the variance in college
GPA. What is the correlation coefficient between SAT score and college GPA?
A. 0.18
B. 0.6
C. 0.06
On September 16, 2011, the New York Times reported that the American public's approval rating of Congress had sunk to an all-time low of 12%. Suppose we wanted to carry out another poll the following week. How many individuals must we survey to estimate the proportion who approve of Congress at that point to within 3% at 95% confidence?
Answer:
The sample size is [tex]n = 451 [/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is E = 0.03
The sample proportion is [tex]\^ p = 0.12[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n = [\frac{1.96}{0.03} ]^2 *0.12 (1 - 0.12 ) [/tex]
=> [tex]n = 451 [/tex]
This question is based on concept of normal distribution.Therefore, 451 individuals must survey to estimate the proportion who approve of Congress at that point to within 3% at 95% confidence.
Given:
The sample size is n=451.
According to question,
The margin of error is E = 0.03
The sample proportion is [tex]\bold{\hat{p}}[/tex] =0.12
From the question, the confidence level is 95% , hence the level of significance is,
[tex]\alpha =(100-95)\%\\\bold{\alpha =5\%=0.05}[/tex]
Normally, as per the normal distribution table the critical value of,
[tex]\dfrac{\alpha }{2}[/tex] is
[tex]\bold{Z_\frac{\alpha }{2} =1.96}[/tex]
And ,the sample size in mathematically represented as,
[tex]\begin{aligned}n&=(\frac{Z_\frac{a}{2} }{E})^{2} \times \hat p(1-\hat p)\\n&=(\frac{1.96}{0.03})^2 \times 0.12(1-0.12)\\\bold{n&=451} \end{aligned}[/tex]
Hence, there are 451 individuals must we survey to estimate the proportion who approve of Congress at that point to within 3% at 95% confidence.
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(2^3x+1) 52 value of x is
Answer:
6^2x+52
Step-by-step explanation: