Answer:
y = 15 - 2x
Step-by-step explanation:
The starting temp is 15, and we expect it to fall 2 degrees each night. We substitute x and y, y = total temp at the end of the examined time period, x = number of hours.
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Answer:
15 - 2(x)
x = hours
Step-by-step explanation:
Complete this division sentence.
9988 + 23 =
R
Correct question is;
Complete this division sentence.
9988 ÷ 23 = R
Answer:
9988 ÷ 23 = 434 R 6
Step-by-step explanation:
....... 434
_________
23|9988
......92
¯¯¯¯¯¯¯¯¯¯¯
........ 788
.........69
¯¯¯¯¯¯¯¯¯¯
........... 98
............92
¯¯¯¯¯¯¯¯¯¯¯
............. 6
Thus ; 9988 ÷ 23 = 434 R 6
find an equation in standard form of the parabola passing through the points (0, - 1), (1, 5), (- 1, - 5)
Answer:
The equation of the parabola in standard is [tex]y=x^{2}+5x-1[/tex]
Step-by-step explanation:
The standard form equation of the parabola is:
[tex]y=ax^{2}+bx+c[/tex]
Using the three points we can find a, b and c.
Let's put the first point (0,-1)into the standard form equation.
[tex]-1=a(0)^{2}+b(0)+c[/tex]
[tex]c=-1[/tex]
Using the second point (1,5) and the value of c found above.
[tex]5=a(1)^{2}+b(1)+c[/tex]
[tex]5=a+b-1[/tex]
[tex]6=a+b[/tex] (1)
Finally using the las point (-1,-5)
[tex]-5=a(-1)^{2}+b(-1)+c[/tex]
[tex]-5=a-b-1[/tex]
[tex]-4=a-b[/tex] (2)
Solving the system of equations (1) and (2) we can find a and b.
[tex]6=a+b[/tex]
[tex]-4=a-b[/tex]
Adding both of them we have:
[tex]2=2a[/tex]
[tex]a=1[/tex]
And b = 5.
Therefore, the equation of the parabola in standard form will be.
[tex]y=x^{2}+5x-1[/tex]
I hope it helps you!
Find the ratio :
1/2 hour to 45 minutes
Answer:
The answer is 2 : 3.
Step-by-step explanation:
First, you have to convert the units to minutes :
1 hr = 60 min
1/2 hr = 60 × 1/2 = 30 min
Then, you have to simplify the ratio to simplest form :
30 : 45
= (30÷15) : (45÷15)
= 2 : 3
Answer:
To see the ratio, we should have both in the same unit. We can pass 1/2 hour to minutes, as we know one hour are 60 minutes:
60/2 = 30
So we know half hour are 30 minutes.
Now, we know the ratio 30:45, but we can simplify it, as a fraction.
To simplify it, we will divide both numbers by the same quantity, in this case, divide 30 and 45 by 15 (a it's a divisor):
30/15 = 2 and 45/15 = 3, so the ratio is 30:45, which is equivalent to 2:3
The equation y = 12x represents a proportional relationship. What is the
constant of proportionality? will give brainliest
Answer:
D
Step-by-step explanation:
Proportional relationships come in the form
[tex]y=kx[/tex]
and [tex]k[/tex] is the constant of proportionality. By comparing the general case [tex]y=kx[/tex] and your specific case [tex]y=12x[/tex], you can see that in your case [tex]k=12[/tex].
In the equation y = 12x the constant of proportionality is D. 12.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Let y = kx.
∴ k = y/x.
Given, y = 12x.
12 = y/x.
So, the constant of proportionality is 12.
learn more about proportion here :
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Solve the following systems of equations algebraically. Write your answer in the form of (x, y).
y = 3x + 5 and y = x + 19
Rewrite 8.24 × 10^6 in standard notation.
824,000
8,240,000,000
82,400,000
8,240,000
Answer:
The last choice 8,240,000.
Step-by-step explanation:
The exponent 6 tells us there are 6 digits after the first digit (8).
Answer is 8,240,000
a store sells tiles for $3.80 per square feet and an additional fee is $200 to install it what is the independent and dependent variable?
Answer:
i tkinhk it 1.30
Step-by-step explanation:
I need some help please
Answer:
The awnser is A or -7/5
Step-by-step explanation:
you have to put the points into the formula y²-y¹/x²-x¹ (this is a fraction the y part is on top and the x part is on the bottom) then you need to plug in the numbers so it would look like 5-(-2)/-2-3. then you would add 5+2 since that is what -(-) means. then you would take 2+3 as -2-3. so the awnser would be -7/5.
Hope this helps
Chris spending some of his birthday money on art supplies. He spends 1/6 of his money on paint and 2/3 of his money on markers. What fraction of his birthday money does he have left? (multi-step problem -must dd and subtract)
A. 5/6
B. 3/6
C. 1/2 (wrong)
D. 1/6
2. A company manufactures baseball bats. The fixed expenses are $58,780 and the variable expenses are $28 per baseball bat produced. How many bats did they produce if their expenses total $406,960?
Answer:
12,435 bats
Step-by-step explanation:
We need to figure out how many bats were produced.
First let's write the equation. Cost is $28 for each bat, and we start with fixed expenses of $58,780
y=28x + 58780
We are given y, total expenses at 406,960
so 406,960 = 28x + 58780
subtract 58780 from both sides
406,960 - 58,780 = 28x
348,180 = 28x
divide both sides by 28
12,435 = x
This means they produced 12,435 bats.
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If you double the radius of a circle, then you will quadruple the circumference of the circle
Answer:
False
Step-by-step explanation:
No options is attached to the question. However, I'll assume it's a true or false question.
Represent the radius with r.
The circumference is calculated as:
X = 2πr
When the radius is doubled, the new radius R is
R = 2r
And the new circumference, C is:
C = 2πR
Substitute 2r for R
C = 2π * 2r
C = 4πr
Factorize the above equation.
C = 2 * 2πr
Recall X = 2πr;
The expression becomes:
C = 2 * X
C = 2X
This means that the circumference is doubled, not quadrupled.
Hence, the statement is false.
Which product is positive?
Answer:
The 3rd one
Step-by-step explanation:
Can have brainliest
Answer:
The 3rd one
Step-by-step explanation:
hope it helps
also can i have brainlist
Damian has two summer jobs. He works as a tutor, which pays $12 per hours, and he works as a lifeguard, which pays $9.50 per hour. He can work no more than 20 hours a week, but he wants to earn at least $220 per week. Which of the following systems of inequalities represents this situation, where x is the number of hours worked as a tutor, and y is the number of hours worked as a lifeguard?
A.12x + 9.5y ≤ 220 AND x + y ≥ 20
B.12x + 9.5y ≤ 220 AND x + y ≤ 20
C.12x + 9.5y ≥ 220 AND x + y ≤ 20
D.12x + 9.5y ≥ 220 AND x + y ≥ 20
Answer:
B 12x + 9.5y ≤ 220 AND x + y ≤ 20
Step-by-step explanation:
Answer:
A.12x + 9.5y ≤ 220 AND x + y ≥ 20
Step-by-step explanation:
≤ 220 symbolizes that he can earn 220 or more than 220.
≥ 20 symbolizes that he can work 20 hours or less.
You went to the store and bought a pair of jeans for $22, new sneakers for $54 and some shirts for $12.99 each. You spent a total of $127.96. How many shirts did you buy?
Answer:
4 shirts
Step-by-step explanation:
127.96 - 76 (54+22)
51.96 / 12.99 = 4
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and the denominator. 12 mi to 28 mi
Answer:
3/7
Step-by-step explanation:
12 ÷ 4
28 ÷ 4
Please answer ASAP. Also please explain because even though I put it on here I still want to know how to do it. Tysmm
9514 1404 393
Answer:
see below
Step-by-step explanation:
First row
Fill in the given x-value and solve for y:
3(-4) +2y = -6
-12 +2y = -6
-6 +y = -3 . . . . . divide by 2
y = 3 . . . . . . . . . add 6
__
Second row
Fill in the given y-value and solve for x:
3x +2(0) = -6
x = -2 . . . . . . . . . divide by 3
Believe it or not, there are some people who don't think that Duke will win the NCAA tournament this year. Let's say that you want to measure the average intelligence of Duke Doubters. Problem is you could only find 28 DDs on this whole campus. The mean of your sample was 90 and the standard deviation was 60. Calculate the 90% Confidence Interval for the IQ of DDs
Answer:
The 90% confidence interval is [tex] 87.95 < \mu < 92.05 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 28[/tex]
The sample mean is [tex]\= x = 90[/tex]
The standard deviation is [tex]s= 60[/tex]
Generally given that the sample size is not large enough i.e n < 28 then we will make use of the t distribution table
Generally the degree of freedom is mathematically represented as
[tex]df = n- 1[/tex]
=> [tex]df = 28 - 1[/tex]
=> [tex]df = 2 7[/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 = 0.10[/tex]
Generally from the student t distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 2 7[/tex] is
[tex]t_{\frac{\alpha }{2} , 27 } = 2.052[/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex]90 - 2.052 < \mu < 90 + 2.052 [/tex]
=> [tex] 87.95 < \mu < 92.05 [/tex]
A car can travel 400 miles on 16 gallons of gasoline. How much gasoline will it need to go 275 miles?
Answer:
Step-by-step explanation:
400 ÷ 16 = 25.
16 ÷ 16 = 1.
1 gallon = 25 miles.
275 ÷ 25 = 11
In conclusion, the car used 11 gallons for 275 miles.
Hope this helps!
Mrs. Browning bought ice cream treats for 6 children. Each child picked either a sundae or a milkshake. The sundaes cost $2 each and the milkshakes cost $5 each. If Mrs. Browning spent a total of $21, how many of each type of treat did she buy?
Answer:
3 milkshakes 3 sundaes
Step-by-step explanation:
First write the equation.
y = total cost
x = cost of sundae
z = cost of milkshake
21=2x+5z
x+z=6 or x = 6-z
substitute in x = 6-z into the first equation
21 = 2(6-z) + 5z
21 = 12 - 2z + 5z
21 = 12 + 3z
subtract 12 from both sides
21 - 12 = 12 - 12 + 3z
9 = 3z
divide both sides by 3
3 = z
so she bought 3 milkshakes.
That means x+z = 6 and z=3 so
x+ 3 = 6, then x=3 as well, so she bought 3 sundaes.
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Answer:
she bought 3 sundaes and 3 milkshakes
Step-by-step explanation:
let's call the amount of milkshakes M.
let's call the amount of sundaes S.
you know that in total, there are 6 children.
so, you can make the following equation:
M + S = 6
if the milkshakes cost 5$ each, then the cost of the milkshakes can be expressed as 5m
if the sundaes cost 2$ each, then the cost of the sundaes can be expressed as 2S
you also know that Mrs. Browning spent 21$ in total.
so, you can make the following equation:
5m + 2S = 21
this is a system of equations.
using the first equation, you know that M = 6 - S
you can substitute M for 6 - S in the second equation
5m + 2s = 21
5(6 - s) + 2s = 21
30 - 5s + 2s = 21
30 - 3s = 21
30 = 21 + 3s
30 - 21 = 3s
9 = 3s
3 = snow that you know how many sundaes there are, you can substitute that into the first equation:
m + s = 6
m + 3 = 6
m = 6 - 3
m = 3jimmy wants to buy socks that cost $20 how much change does he receive if he gives the cashier $100?
Let n1=50, X1=10, n2=50, and X2=30. Complete parts (a) and (b) below. a. At the 0.10 level of significance, is there evidence of a significant difference between the two population proportions? Determine the null and alternative hypotheses. Choose the correct answer below. A. H0: π1≤π2 H1: π1>π2 B. H0: π1≠π2 H1: π1=π2 C. H0: π1≥π2 H1: π1<π2 D. H0: π1=π2 H1: π1≠π2 Your answer is correct. Calculate the test statistic, ZSTAT, based on the difference p1−p2. The test statistic, ZSTAT, is nothing.
Answer:
|Z| = |-4.089| > 1.645 at 0.10 level of significance
Null hypothesis is rejected at 0.10 level of significance
There is a difference between the two Population proportions
Step-by-step explanation:
Step(i):-
Given first sample size (n₁) = 50
Given proportion of the first sample p⁻₁= 0.2
Given second sample size (n₂) = 50
Given proportion of the second sample p₂⁻ = 30/50 = 0.6
Null Hypothesis : H₀: p₁⁻=p₂⁻
Alternative Hypothesis : H₁: p₁⁻≠p₂⁻
Step(ii):-
Z-statistic
[tex]Z = \frac{p_{1} -p_{2} }{\sqrt{pq(\frac{1}{n_{1} } +\frac{1}{n_{2}) } } }[/tex]
Where
[tex]P = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1} +n_{2} }[/tex]
[tex]P = \frac{50X0.2+50X0.6}{50+50} = 0.4[/tex]
Z-statistic
[tex]Z = \frac{0.2-0.6}{\sqrt{0.4 X 0.6(\frac{1}{50}+\frac{1}{50} } }[/tex]
Z = -4.089
Level of significance =0.10
Z₀.₁₀ = 1.645
|Z| = |-4.089| > 1.645 at 0.10 level of significance
Null hypothesis is rejected at 0.10 level of significance
Final answer:-
There is a difference between the two Population proportions
Correlation and regression are concerned with (a) the relationship between two categorical variables. (b) the relationship between two quantitative variables. (c) the relationship between a quantitative explanatory variable and a categorical response variable. (d) the relationship between a categorical explanatory variable and a quantitative response variable.
Answer:
(b) the relationship between two quantitative variables
Step-by-step explanation:
Correlation and regression techniques can be explained as a statistical techniques which measures the degree and type of relationship that exists between two variables (dependent and independent). These evaluated variables must be quantitative in nature in other to apply thus statistical method of establishing relationship and making predictive analysis. The relationship may be univariate or multivariate in nature. The correlation and regression technique won't work on data presented or represented in categorical or labeled format. The relationship may be positive or negative with the correlation Coefficient measuring the strength of the relationship between the variables.
Carla packed this box with 1-centimeter cubes. What is the volume of the box?
Answer:
60 cm 2
Step-by-step explanation:
Answer:
60 cubic cm
Step-by-step explanation:
i just multiplied 3 x 4 x 5 and that gave me 60 and cubic cm
hoped it helped :)
help me please i really need help
Answer:
8
Step-by-step explanation:
Since the sides are congruent, the angles are as well. So if you draw point W along line RT, then the angle W and S are the same, so the length is also the same, which is 8.
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Answer:
6
Step-by-step explanation:
Write the equation of a parabola containing the point 6,3 with vertex at 5,-3
Answer:
y = 1/3 x 2 +4 x + 15
Step-by-step explanation:
y = a (x - h)2 + k
where (h,k) are the coordinates of the vertex and a is a multiplier
here (h,k) = ( - 6, 3)
y = a ( x + 6)2 + 3
to find a substitute (12,9) into the equation
9 = 18 a + 3
18 a = 9 - 3 = 6 a = 6/18 = 1/3
y = 1/3 (x + 6)2 + 3
distributing gives
y = 1/3 (x2 + 12x + 36) + 3
y = 1/3x2 + 4x + 15
divide partial quotient 308 divide by 4
Answer:
77 is the answer your welcome
i need help 17 + p > 18
Answer:
P>1
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
P+17>18
Step 2: Subtract 17 from both sides.
P+17-17>18-17
P>1
The triple of the sum of two consecutive numbers is 99. Which is the greater of the two numbers.
Answer:
I have no idea Im so sorry i tried to understand all i could think of is x+y=99
line
Passing through (4,5) and perpendicular to
Equation y= -2x+3
Answer:
1/2x+3
Step-by-step explanation:
I graphed it
I need help with this question.
Answer:
False.
Step-by-step explanation:
Any straight line may have infinite number of points (solutions) lying on it.
Therefor, straight line 'l' can't have exactly two solutions.
Line 'l' will have infinitely many solutions.
Exactly one or two solutions are possible only when two lines or functions intersect each other.
Therefore, answer is false.