Answer:-95 1/7 feet
Step-by-step explanation:
-120 4/7+25 3/7=-95 1/7 feet
Which graph shows the solution to the system of linear inequalities? y ≥ 2x + 1 y ≤ 2x – 2
The graph which shows the solution to the system of inequalities is attached in the picture below :
Given the inequalities :
y ≥ 2x + 1
y ≤ 2x - 2
From y ≥ 2x + 1 ;
Since the inequality sign is ≥, a solid line is used to draw the straight line graph of y ≥ 2x + 1
From :
y = mx + c
Where, m = slope ; c = intercept
Hence, a straight line graph with ;
Intercept, c = 1 (where the line crosses the y-intercept)
Slope, m = 2
Consider a point, which isn't on the line ;
Take point (0,0) and use it to test the inequality :
0 ≥ 2(0) + 1
0 ≥ 0 + 1
0 ≥ 1
This is false, hence, the portion of the graph which does not contain (0, 0) is shaded.
From : y ≤ 2x - 2
Since the inequality sign is ≤, a solid line is used to draw the straight line graph of y ≤ 2x - 2
Graph the line y ≤ 2x - 2, with ;
Intercept, c = - 2
Slope = 2
Consider a point, which isn't on the line ;
Take point (0,0) and use it to test the inequality y ≤ 2x - 2:
0 ≤ 2(0) - 2
0 ≤ 0 - 2
0 ≤ - 2
This is false, hence, the portion of the graph which does not contain (0, 0) is shaded.
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Answer:
Its graph B on edge 2022
Step-by-step explanation:
A certain mixture of paint contains 5 parts white paint for every 4 parts blue paint. If a can of paint contains 75 ounces of white paint, how many ounces of blue paint are in the can?
Answer:
60 ounces
Step-by-step explanation:
A certain mixture of paint contains 5 parts white paint for every 4 parts blue paint, that is, the white paint (w) to blue paint (b) ratio is 5:4. We can apply this ratio to different units such as ounces. This means that the mixture has 5 ounces of white paint to 4 ounces of blue paint. If a can of paint contains 75 ounces of white paint, the ounces of blue paint in the can are:
75 oz w × (4 oz b/5 oz w) = 60 oz b
What is the y-value in the solution to this system of linear equations?
4x + 5y = -12
-2x + 3y = -16
-4.
-2
оооо
2
5
Answer:
y = -4
Step-by-step explanation:
4x + 5y = -12 ....eq1
-2x + 3y = -16 ...eq2
From eq1, solve for x:
4x + 5y = -12
4x = -12 - 5y
x = -12 - 5y/4
From eq2, substitute value of x:
-2(-12-5y/4) + 3y = -16
3y - 2 (-5y-12/4) = -16
3y - 2(-5y-12)/4 = -16
12y - 2(-5y - 12) = -16
4*3y - 4*2(-5y-12)/4 = 4*(-16)
12y - 2(-5y-12) = -64
12y + 10y + 24 = -64 (divide both sides by common factor 2)
6y + 5y + 12 = -32
11y = -32 - 12
11y = -44
Divide both sides by 11
11y/11 = -44/11
y = -4
someone could help me?
Answer:
[tex]B= 3.14 * 4^4 = 50.24cm^2\\h = 16cm\\V=B*h=50.24*16=803.84cm^3[/tex]
Step-by-step explanation:
The area of the base is the area of a circle with a radius equal to 4 cm. It means that the area can be calculated as:
[tex]B = 3.14 * r^2\\B= 3.14 * 4^4 = 50.24cm^2[/tex]
The height of the cylinder is shown in the picture, it is equal to 16 cm.
Finally, the volume of the cylinder can be calculated as:
[tex]V = B*h=50.24*16 = 803.84cm^3[/tex]
Where B is the base and h is the height of the cylinder.
The parabola y= x2 - 4 opens:
O up
O down
O right
O left
Answer:
it opens up
goes up 4 but doesn't move left or right
explain square roots
Answer:A square root of a number is a value that, when multiplied by itself, gives the number. Example: 4 × 4 = 16, so a square root of 16 is 4. Note that (−4) × (−4) = 16 too, so −4 is also a square root of 16. The symbol is √ which always means the positive square root. Example: √36 = 6 (because 6 x 6 = 36)
H0:p=0.45 ; Ha:p>0.45
The p-value for this hypothesis test is 0.025.
The level of significance is α=0.05
Select the correct answer below:
a. There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%.
b. There is NOT sufficient evidence to conclude that the proportion of agenda-less meetings isgreater than 45%.
c. There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 55%.
d. There is NOT sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 55%.
Answer:
Option A is correct
Step-by-step explanation:
From the question we are told that
The Null Hypothesis is [tex]H_o : p = 0.45[/tex]
The alternative hypothesis [tex]H_a : p > 0.45[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The p-value is [tex]p-value = 0.025[/tex]
Now looking at the given data we see that the the p-value is less than [tex]\alpha[/tex]
Generally when this occurs in a hypothesis test we reject the null hypothesis which mean that the result which we obtain is statistically significant.
Hence the alternative hypothesis is correct, which means that,
There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%. which is option A
A school has 39 vacancies for teachers.out of which 22 are for English language,21 are for mathematics and 17 are for fine arts.of these vacancies 11 are for both English language and mathematics,8 for mathematics and fine arts and 7 for both English and fine arts.calculate the number of teachers who must be able to teach all subjects and fine arts only
Answer:
12
Step-by-step explanation:
let
x= no. for English
y= no. for maths
z= no. for fine arts
a= no. for all subjects
x= 22
y= 21
z= 17
x+y+z= 39
x intersect y= 11
y intersect z= 8
x intersect z= 7
(4+a)+ (11-a)+ (7-a)+ (8-a)+ (2+a)+ (2+a)+ a= 39
34+a =39
a= 5
no.of teachers who teaches all & fine art only
= a + (2+a)
= 5+7
= 12
A transformation of KLM results in K'L'M'. Which transformation maps the pre-image to the image?
a. dilation
b.translation
c. reflection
d. rotation
Answer:
a. dilation.
Step-by-step explanation:
In this problem, the triangle has been neither reflected nor rotated. Although you could say the triangle has been translated, translation will preserve the lengths of the legs of the triangle.
Since all the angles are still congruent, we can say that the triangle has been dilated. It has been enlarged.
Hope this helps!
The dilation is a transformation that transfers the pre-image to the final image. The correct answer is A.
What is a transformation?When a point is relocated from its original place to a new location, it is changed. Different transformations include translation, rotation, reflection, and dilation.
As per the given figure, ΔKLM is transformed into ΔK'L'M'.
Here, the triangle hasn't been reflected or rotated.
Although we cannot claim the triangle has been translated, translation maintains the lengths of the triangle's legs.
We conclude that the triangle has been dilated because all of the angles are still congruent. It has grown in size.
Therefore, dilation is a transformation that transfers the pre-image to the final image.
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An angle measures 125.6° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
The measure of each angle:
152.8° and 27.2°
Step-by-step explanation:
Supplementary angles sum 180°
then:
a + b = 180°
a - b = 125.6°
then:
a = 180 - b
a = 125.6 + b
180 - b = 125.6 + b
180 - 125.6 = b + b
54.4 = 2b
b = 54.4/2
b = 27.2°
a = 180 - b
a = 180 - 27.2
a = 152.8°
Check:
152.8 + 27.2 = 180°
Answers:
152.8° & 27.2°Step-by-step explanation:
Let x and y be the measures of each angle.
x + y = 180°
x - y = 125.6°
180 - 125.6 = 54.4
Now we divide 54.4 evenly to get y.
y = 27.2°
To get x, we substitute y into the equation.
x = 27.2 + 125.6
x = 152.8°
To check, we plug these in to see if they equal 180°.
27.2 + 152.8 = 180° ✅
I'm always happy to help :)A population has a standard deviation of 50. A random sample of 100 items from this population is selected. The sample mean is determined to be 600. At 95% confidence, the margin of error is
Answer:
Margin of error is 9.8
Step-by-step explanation:
Using the formular for the margin of error
The margin of error = z* (sd/√n)
Where z is the z score for the desired confidence level = 1.96, sd is the population standard deviation = 50 and n is the sample size = 100
Thus
Margin of error = 1.96 (50/√100)
= 1.96 (50/10)
= 1.96 (5)
= 9.8
Margin of error is 9.8
The sum of Jason’s age and his brother’s age is 55. Jason is 7 years younger than his brother. How old is Jason?
Answer:
Jason is 24 years old
Step-by-step explanation:
Lets say that Jason's age is X, and his brother's age is Y.
We know that X + Y = 55.
We also know that (X + 7) = Y.
This means (X + 7) + Y = 62 (We got the 62 by adding 55 and 7)
Anyway if X+7= Y, and X+7 + Y = 62, then X+7 = 62/2, right?
We divide the 62 by 2 and we get 31.
Alright, so X+7 = 31.
substract both sides by 7.
We get X = 24
Sorry if this seemed longer or more complicated than it should've been, I don't know how to explain it better.
plsd its urgent i am begging u i will give u anything plsss brainliest and 50 pounts i am so sad and depressed currently and school work is not helping so if u can help i will appreciate it
Answer: 245 cu. cm.
Step-by-step explanation:
4/7-2/5=20/35-14/35=6/35
42 cm3 represents 6/35 of the total volume
how many 6/35's are in 35/35 ? (the total volume)
(35/35)/(6/35)=(35/35)*(35/6)=35/6=5 5/6
(5 5/6)*(42)=(35/6)*(42)=35*7=245 cm3 is the total volume
help me pls pls pls
Answer:
i think it is E
Step-by-step explanation:
[tex]\lim_{x\to \ 4} \frac{x-4}{\sqrt{x}-\sqrt{4} }[/tex] Please answer this one
Answer:
[tex]\large \boxed{\sf \ \ \lim_{x\to \ 4} \dfrac{x-4}{\sqrt{x}-\sqrt{4} }=4 \ \ }[/tex]
Step-by-step explanation:
Hello,
We need to find the following limit.
[tex]\displaystyle \lim_{x\to \ 4} \dfrac{x-4}{\sqrt{x}-\sqrt{4} }[/tex]
First of all, for any x real number different from 4 and positive, we can write
[tex]\dfrac{x-4}{\sqrt{x}-\sqrt{4}} = \dfrac{(x-4)(\sqrt{x}+\sqrt{4})} {(\sqrt{x}-\sqrt{4})(\sqrt{x}+\sqrt{4})}} ==\dfrac{(x-4)(\sqrt{x}+\sqrt{4})}{x-4}=\sqrt{x}+\sqrt{4}[/tex]
so the limit is
[tex]\sqrt{4}+\sqrt{4}=2+2=4[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
A=63°
C = 7.75 inch
B = 47°
Oblique Triangle
13. Refer to the oblique triangle shown. What's the length of side a? Round to the nearest hundredth of an inch.
O A. 7.75 inches
O B. 7.35 inches
O C.4.72 inches
O D. 6.03 inches
Answer:
B. 7.35 inches
Step-by-step explanation:
In the triangle:
A=63° c = 7.75 inch B = 47°Now we know that:
[tex]\angle A+\angle B+\angle C=180^\circ$ (Sum of angles in a \triangle)\\63^\circ+47^\circ+\angle C=180^\circ\\\angle C=180^\circ-(63^\circ+47^\circ)\\\angle C=70^\circ[/tex]
Using the Law of Sines
[tex]\dfrac{a}{\sin A} =\dfrac{c}{\sin C}\\\\\dfrac{a}{\sin 63^\circ} =\dfrac{7.75}{\sin 70^\circ} \\\\a=\dfrac{7.75}{\sin 70^\circ} \times \sin 63^\circ\\\\a=7.35$ inches (to the nearest hundredth of an inch)[/tex]
Answer:
B. 7.35 inches
Step-by-step explanation:
just use the law of sines
Find the valuds to complete the table
Answer:
Where is the table
Step-by-step explanation:
I cant answer without it
Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to state whether or not the given r represents a significant linear correlation. Use a significance level of 0.05.
r=0.543, n=25
a. Critical values: r = ±0.396, no significant linear correlation
b. Critical values: r = ±0.396, significant linear correlation
c. Critical values: r = ±0.487, significant linear correlation
d. Critical values: r = ±0.487, no significant linear correlation
Answer:
a. Critical values : r = ±0.396, no significant linear correlation.
Step-by-step explanation:
The critical value is 0.396 and test statistic is 0.543. The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value Test statistics is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. In the given case test statistics value is greater than critical value then we should accept the null hypothesis.
In a cinema, there are eight seats in a row. Four of the seats in one row are occupied. What fraction of seats are available in that row?
Answer:
[tex] \frac{1}{2} [/tex]Step-by-step explanation:
Given,
There are 8 seats in a row.
There are 8 seats in a row.4 seats are occupied.
Available seats = 8 - 4 = 4 seats
Fraction of seats available:
[tex] \frac{number \: of \: seats \: available}{total \: number \: of \: seats} [/tex]
[tex] = \frac{4}{8} [/tex]
Reduce the fraction with GCF 4
[tex] = \frac{1}{2} [/tex]
Hope this helps..
Best regards!!
Answer:
Your correct answer is that there are 4 seats available. The fraction version is 1/2
Step-by-step explanation:
Since there are 8 in a row and 4 are taken, subtract 8 by 4.
8 - 4 = 4 seats that are available.
Simplify the expression:
2b – 5b + 7 + 3b
Answer:
7
Step-by-step explanation:
2b - 5b is -3b so it leaves the equation with -3b + 7 + 3b
-3b + 3b cancells out to 0 so it leaves the final answer to 7
Drag the labels to the correct locations
Answer:
Graph A
So it has two distinct real roots.
Graph B
It has one repeated real root
Graph C
So it has two complex roots.
Graph D
One real root and one complex root
Step-by-step explanation:
For graph A
The value of the roots is x= 1 and x= 3
And the minimum value = -3
It's a positive graph
So it has two distinct real roots.
For graph B
The value of the roots is x = 2 and x= 2
That is x= 2 twice
Has a maximum value of 0
It's an inverse graph
It has one repeated real root
For graph C
It's a positive graph but on the negative of x
Has a minimum value of 1
It didn't touch x at y = 0
And it's root will be negative
So it has two complex roots.
For Graph D
Value of the roots is x= 2 and x= -2
It's a positive graph
Minimum value of -4
One real root and one complex root
the petit chef co has 11.7 percent coupon bonds on the market with elven years left to maturtiy. The bonds make annuly payments and have a par value of 1000. If the bonds curtently sell for 1153.60 what is tje ytm
Answer:
9.40%
Step-by-step explanation:
Given:
Annual coupon rate = 11%
Time left to maturity = 11 years
Par value of bond = 1000
Present value of bond = 1153.60
Required: Find Yeild to Maturity (YTM)
To find the yield to maturity, use the formula below:
YTM = [Annual coupon+(Face value-Present value)/time to maturity]/(Face value+Present value)/2
where annual coupon = 1000 * 11% = 110
Thus,
[tex]YTM = \frac{\frac{110+(1000-1139.59}{9}}{\frac{(1000+1139.59)}{2}}[/tex]
YTM = 9.40%
Therefore the approximate YTM is 9.40%
Does the ordered pair (1,1) satisfy the following system of inequalities? {x−8y≤9−7x+5y<4
Answer:
YESStep-by-step explanation:
Substitute x = 1 and y = 1 to the both inequalities:
[tex]x-8y\leq9\\\\1-8(1)\leq9\\1-8\leq9\\-7\leq9\qquad\bold{TRUE}\\==================\\-7x+5y<4\\\\-7(1)+5(1)<4\\-7+5<4\\-2<4\qquad\bold{TRUE}[/tex]
Answer:
(1,1) does satisfy
x - 8y ≤ 9
- 7x + 5y < 4
Step-by-step explanation:
Well, first we need to plug in (1,1) into,
x - 8y ≤ 9
- 7x + 5y < 4
→ 1 - 8(1) ≤ 9
- 7(1) + 5(1) < 4
1 - 8 ≤ 9
-7 + 5 < 4
-7 ≤ 9
-2 < 4
Thus,
(1,1) does satisfy
x - 8y ≤ 9
- 7x + 5y < 4.
Hope this helps :)
Which of the following is represented by MN ?
A.
Radius of the circle
B.
Diameter of the circle
C.
A chord of the circle
D.
Circumference of the circle
Answer:
A
Step-by-step explanation:
That is the radius. Since its half of the diameter.
Answer:
A. Radius of the circle
Step-by-step explanation:
A line segment that has as endpoints the center of a circle and a point on the circle is called a radius.
Answer: A. Radius of the circle
The point (5, -2) is rotated 90° about the origin. Its image is:
A cylindrical can is to be made to hold 50 cm3 of oil. Determine the dimensions of the can that will minimize its surface area. What is the minimum surface area
Answer:
S(min) = 59,66 cm²
Step-by-step explanation:
The volume of a cylindrical can is:
V(c) = π*x²*h where x is radius of the base and h the height
V(c) = 50 cm³
50 = π*x²*h (1)
The surface area of the can (Sc) is Surface area of the base (Sb) plus surface lateral area (Sl)
S(b) = π*x²
And S(l) = 2*π*x*h
Then
S(c) = π*x² + 2*π*x*h
And surface area as a function of x is
From equation (1)
h = 50 /π*x² and plugging this value in the previous expression
S(x) = π*x² + 2*π*x*(50/π*x²)
S(x) = π*x² + 100/x
Taking derivatives on both sides of the equation
S´(x) = 2*π*x - 100/x²
S´(x) = 0 means 2*π*x - 100/x² = 0
π*x - 50/x² = 0
π*x³ - 50 = 0
π*x³ = 50
x³ = 50 / 3,14
x³ = 15,92
x = 2,51 cm
And h = 50 / π* (2,51)²
h = 2,53 cm
Then minimum surface area of the can is:
S(min) = 19,78 + 39,88
S(min) = 59,66 cm²
Please help. I’ll mark you as brainliest if correct!
Answer:
CDs: $30,000bonds: $90,000stocks: $50,000Step-by-step explanation:
You can let c, b, s represent the investments in CDs, bonds, and stocks, respectively.
c + b + s = 170000 . . . . . . total invested
0.0325c +0.038b +0.067s = 7745 . . . . . . . annual income
-c + b = 60000
You can solve this set of equations using any of a number of methods, including on-line calculators, graphing calculators, scientific calculators, Cramer's Rule, substitution, elimination, and more. The solution is ...
c = 30,000
b = 90,000
s = 50,000
Maricopa's Success invested $30,000 in CDs, $90,000 in bonds, and $50,000 in stocks.
Triangle ABC is congruent with triangle CDA Find the value of the pronumeral x.
Answer:
x = 25
Step-by-step explanation:
Since the triangles are congruent then corresponding angles are congruent.
That is ∠ D and ∠ B are corresponding angles and congruent, thus
4x - 20 = 2x + 30 ( subtract 2x from both sides )
2x - 20 = 30 ( add 20 to both sides )
2x = 50 ( divide both sides by 2 )
x = 25
In a clinical trial, out of patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that % of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than % of this drug's users experience flulike symptoms as a side effect at the level of significance?
Answer:
Step-by-step explanation:
Hello!
Out of 846 patients taking a prescription drug daily, 18 complained of flulike symptoms.
It is known that the population proportion of patients that take the drug of the competition and complain of flulike is 1.8%
Be the variable of interest:
X: number of patients that complained of flulike symptoms after taking the prescription drug, out of 846.
sample proportion p'= 18/846= 0.02
You have to test if the population proportion of patients that experienced flulike symptoms as a side effect is greater than 1.8% (p>0.018)
Assuming that the patients for the clinical trial were randomly selected.
The expected value for this sample is np=846*0.02= 1658 (the expected value of successes is greater than 10) and the sample is less than 10% of the population, you can apply the test for the proportion:
The hypotheses are:
H₀: p ≤ 0.018
H₁: p > 0.018
α: 0.01
[tex]Z= \frac{p'-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]≈N(0;1)
[tex]Z_{H_0}= \frac{0.02-0.018}{\sqrt{\frac{0.018*0.982}{846} } }= 0.437[/tex]
The p-value for this test is 0.331056
The decision rule is
If p-value ≤ α, reject the null hypothesis
If p-value > α, do not reject the null hypothesis
The p-value is greater than α, the decision is to reject the null hypothesis.
So at 1% significance level there is no significant evidence to reject the null hypothesis, you can conclude that the population proportion of patients that took the prescription drug daily and experienced flulike symptoms as a side effect is less or equal to 1.8%
I hope this helps!
What number is in between 10 and 16?
Answer:
13
Step-by-step explanation:
10 + 16 = 26
26 divided by 2 = 13
The middle number is 13