Answer:
ezpz false
Step-by-step explanation:
Gustavo earns 8 dollars per hour plus 10% of his sales. Write an equation that models Gustavo's total earnings, E, when he works x hours and has a total of y sales in dollars. you do not need to solve the equation.
Answer:
e = 8x + 0.1y
Step-by-step explanation:
If Gustavo makes no sales at all, he still gets $8 per hour worked (x). We can model this part with this equation:
e = 8x
But then, if he sells something, he makes extra money.. He makes 10% (0.1) of every sale (y). So the equation becomes:
e = 8x + 0.1y
or you can express it this way:
e = 8x + y/10
which is the same thing just written differently.
James wants to pursue a career in engineering whereby he can offer services directly to the public. What certification should he get and who provides this certification?
James needs to obtain a certification of a (______) so that he can offer services directly to the public. The (______) conducts examinations that engineers must pass in order to acquire this certification.
blank 1. fundamental engineer, professional engineer, structural engineer
blank 2. NCEES, NICET, ABET
Answer:
Blank 1. Professional engineer
Blank 2. ABET( Accreditation Board for Engineering and Technology)
Which of the following equations is an example of inverse variation between variables x and y?
A. y = x + 7
B. y = 7x
C. y = x/7
D. y = 7/x
Answer:
D. [tex]y=\frac{7}{x}[/tex]
Step-by-step explanation:
Let y varies inversely with x.
Then we can write the variation equation:
[tex]y\propto \frac{1}{x}[/tex]
We introduce the constant of proportionality, k and obtain the inverse variation equation:
[tex]y=\frac{k}{x}[/tex]
From the given options, the only equation in this form is
[tex]y=\frac{7}{x}[/tex]
In this case, k=7 is the constant of proportionality or constant of variation.
each package contains 4 boxes each box contains a 7 pound bag of beans and a bag of rice the bags of rice are all identical
Answer:
28
Step-by-step explanation:
7*4
Answer:
28
Step-by-step explanation:
7*4
This system of equations has an infinite number of solutions. Define the solutions algebraically, and allow z to represent all real numbers.
3x − 4y + 4z = 7
x − y − 2z = 2
2x − 3y + 6z = 5
x =
y =
z = all real numbers
Answer:
x = 1+12z, y = -1+10z, and z = z
Step-by-step explanation:
Step 1: Convert the system into the augmented matrix form:
• 3 -4 4 | 7
• 1 -1 -2 | 2
• 2 -3 6 | 5
Step 2: Multiply row 2 with -2 and add it into row 3:
• 3 -4 4 | 7
• 1 -1 -2 | 2
• 0 -1 10 | 1
Step 3: Multiply row 2 with -3 and add it into row 1:
• 0 -1 10 | 1
• 1 -1 -2 | 2
• 0 -1 10 | 1
Step 4: Replace row 1 with row 2 and multiply the updated row 2 with -1 and add it into row 3:
• 1 -1 -2 | 2
• 0 -1 10 | 1
• 0 0 0 | 0
Step 5: Multiply row 2 with -1 and add it in row 1:
0 1 -10 -1
• 1 0 -12 | 1
• 0 -1 10 | 1
• 0 0 0 | 0
Step 6: It can be seen that there are infinite solutions of this system since the last row is all zeroes. It can be seen that when this updated augmented matrix is converted into a system, it comes out to be:
• x - 12z = 1
• -y + 10z = 1
Step 7: Make x and y the subject of their respective equations:
• x = 1 + 12z
• y = -1 + 10z
So final answer is x = 1+12z, y = -1+10z, and z = z!!!
HELP ASAP I WILL GIVE BRAINLIEST
Solve the following equation algebraically:
x^2=180
a.
-13.42, 13.42
b.
13.42
c.
-90, 90
d.
-12.42, 12.42
Answer:
A
Step-by-step explanation:
Taking the square root of both sides, you get
[tex]\sqrt{x^2} = \pm\sqrt{180}[/tex]
which simplifies to
[tex]x = \pm\sqrt{180}[/tex]
The square root of 180 is approximately 13.42 and since it is the plus or minus square root, the answer is A, -13.42, 13.42.
Final answer:
The equation x²=180 is solved by taking the square root of both sides, yielding two solutions: x = 13.42 and x = -13.42. Thus, option A is corect.
Explanation:
To solve the equation x² = 180 algebraically, we need to take the square root of both sides of the equation. This gives us two solutions, since both a positive and negative number squared will yield 180. The square root of 180 once calculated is approximately 13.42. Therefore, the two solutions are x = 13.42 and x = -13.42.
At an elementary school carnival, students can draw a rubber duck out of a tub of water. Each duck has a number written on the bottom of it which correlates with a prize. There are a total of 8 ducks in the tub. Two ducks have a 5 on them, four ducks have a 6 on them, and two duck has a 7 on it. What is the expected value of a duck?
a. 8.25
b. 6.85
c. 25
d. 4
Please help!!!!
Answer: 4
Step-by-step explanation: I Am Almost Sure The Answer Is 4. I Did The Math Out And That Is What I Got.
Answer both questions please
1.) The diameter of a circle is 10cm.What is the approximate circumference? Use 3.14 for pi
2.) The radius of a circle is 3 inches. What is the approximate area? Use 3.14 for pi.
Answer:
31.4cm
Step-by-step explanation:
C = 2*pi*r
2r = d
2r=10
r=5
C = 2*5*pi
C = 10*3.14
C = 31.4cm
Find the area of the triangle
Answer:
Step-by-step explanation:
A=BH/2
A=9x12/2
A=54
Answer: 54
Step-by-step explanation:
A = base * height ÷ 2
A = 12 * 9 ÷ 2
A = 108 ÷ 2
A = 54
What is the sum of the geometric sequence -1, 6, -36, ....if there are 7 terms.
A) -39,991
B) -6,665
C) 6,665
D) 39,991
Answer:
A) - 39,991
Step-by-step explanation:
Sum of geometric sequence formula is
[tex]S = a(\frac{1 -r^n}{1-r} )\\a=-1, r=6/(-1)=-6, n=7\\\\S = -1(\frac{1 -(-6)^7}{1-(-6)} )= -\frac{279937}{7} = -39991[/tex]
Answer:
The correct answer option is A) -39,991.
Step-by-step explanation:
We know that the sum of the geometric sequence is given by the formula:
[tex] S _ n = \frac { a _ 1 ( 1 - r ^ n ) } { 1 - r } [/tex]
where [tex]a_1[/tex] is the first term, [tex]r[/tex] is the common ratio and [tex]n[/tex] is the number of terms.
Here,
[tex]a_1 = -1[/tex]
[tex]r = -6[/tex]
[tex]n=7[/tex]
Substituting these values in the above formula to get:
[tex] S _ 7 = \frac { -1 ( 1 - (-6) ^ 7 ) } { 1 - (-6) } [/tex]
S_n = -39,991
Point (-4, 3) lies in Quadrant I II III IV
Answer:
Quadrant II
Step-by-step explanation:
I attached an image of the quadrants system.
You'll see that the scenario where we have a point with a negative X value and a positive Y value, it belongs to Quadrant II.
Quadrant I
Degrees: 0-90
X values: positive (+)
Y values: positive (+)
Quadrant II
Degrees: 90-180
X values: negative (-)
Y values: positive (+)
Quadrant III
Degrees: 180-270
X values: negative (-)
Y values: negative (-)
Quadrant IV
Degrees: 270-360
X values: positive (+)
Y values: negative (-)
Bill is making accessories for the soccer team. He uses 791.86 inches of fabric on headbands for 32 players and 2 coaches. He also uses 273.28 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
There was 23.29 inches used on a headband for each player.
And 8.54 inches used on a wristband for each player.
Step-by-step explanation:To find out how much fabric for headbands and would beused for each player/person you would do
[tex]total \: fabric \: used \: \div \: total \: amount \: of \: people[/tex]
So, if you substitute the values in it is
[tex]791.86÷34=23.29 \: inches \: for \: 1 \: headband. \: [/tex]
And finally, to find how much fabric is used on a wristband for each player/person you would use the same formula.
[tex]273.28 \: \div 32 = 8.54 \: inches[/tex]
A coach is dividing a soccer team of 28 players into groups. If each group has the same number of players, what is the greatest number of groups there can be if each group has no more than 10 players?
Answer:
The only possible groups that could be made if each group have the same number of people is 2 groups of 14 or 4 groups of 7. Since each group cannot have more than 10 people, the only group left is 4 groups of 7.
4. A garden store has the following miscellaneous flower bulbs in a basket.
* 6 amaryllins
* 7 daffodils
* 4 lilies
* 3 tulips
A customer bought 4 bulbs from the basket, one of each type of flower. If the next customer selects 1 of the remaining bulbs at random, which is the closest to the probability that customer will get an amaryllins bulb?
A. 30%
B. 31%
C. 38%
D. 45%
Final answer:
After removing one bulb of each type, the probability of the next customer getting an amaryllins bulb is 5/16, which is 31.25%. Thus, the closest answer provided is 31%, option B.
Explanation:
The question asks for the probability of the next customer getting an amaryllins bulb after four bulbs of different types have been removed from a basket containing miscellaneous flower bulbs. Initially, there were 6 amaryllins, 7 daffodils, 4 lilies, and 3 tulips. Since one bulb of each type was bought by the previous customer, we now have 5 amaryllins, 6 daffodils, 3 lilies, and 2 tulips remaining.
To find the probability of selecting an amaryllins bulb, we divide the number of amaryllins bulbs left by the total number of bulbs remaining:
Probability of selecting an amaryllins = Number of amaryllins bulbs remaining / Total number of bulbs remaining
Probability = 5 / (5 + 6 + 3 + 2) = 5 / 16
To convert this to a percentage, we multiply it by 100: (5 / 16) * 100 = 31.25%
Therefore, the probability is closest to 31%, which corresponds to option B.
Find (ƒ + g)(x) where ƒ(x) = 5x2 + 4, g(x) = 6x2 – x.
(ƒ + g)(x) = 11x2 – x + 4
(ƒ + g)(x) = 11x2 – 4x
To find (ƒ + g)(x) for the given functions ƒ(x) = 5x² + 4 and g(x) = 6x² - x, we add the like terms to get
(ƒ + g)(x) = 11x² - x + 4.
To find (ƒ + g)(x) where ƒ(x) = 5x² + 4, and g(x) = 6x² – x, we simply add the two functions together. We combine like terms to calculate the sum.
By adding the corresponding terms:
The x² terms: 5x² + 6x² = 11x² The x terms: Since there is no x term in ƒ(x), we only have the x term from g(x), which is -x.The constant terms: 4 from ƒ(x) and there is no constant term in g(x).Combining these, we get
(ƒ + g)(x) = f(x) + g(x)
(f + g)(x) = 11x² - x + 4.
Bena bought a bottle of water for $ 1.29 and a pack of gum for $ 1.79.How much did bena give the clerk if she got $6.92 in change
A rectangle has a length of 6X +3 units and a width of eight units write a simplified expression for the area in square are you friends of this rectangle
Answer:
A = 48x + 24 (square units)
Step-by-step explanation:
L = 6x + 3
W = 8
A = L * W
A = 8(6x + 3)
A = 48x + 24
Find the volume of this composite solid.
For this case we have that the figure shown is composed of a cylinder and a cone.
We have that the volume of a cylinder is given by:
[tex]V = \pi * r ^ 2 * h[/tex]
Where:
A: It's the radio
h: It's the height
Substituting the values:
[tex]V = \pi * (5) ^ 2 * 10\\V = \pi * 25 * 10\\V = 250 \pi \ m ^ 3[/tex]
On the other hand, the volume of a cone is given by:
[tex]V = \frac {\pi * r ^ 2 * h} {3}[/tex]
Where:
A: It's the radio
h: It's the height
Substituting the values:
[tex]V = \frac {\pi * (5) ^ 2 * 4} {3}\\V = \frac {\pi * 25 * 4} {3}\\V = \frac {100 \pi} {3} \ m ^ 3[/tex]
Then, the total volume is:
[tex]V_ {t} = 250 \pi \ m ^ 3 + \frac {100 \pi} {3} \ m ^ 3[/tex]
Taking [tex]\pi = 3.14[/tex], we have to:
[tex]V_ {t} = 889.67 \ m ^ 3[/tex]
Answer:
Option D
It takes Ahmed 50 seconds on his bike to reach his friend's house 250 meters away. What is his average speed?
It takes 5 meters per second.
If you divide 250 by 50 you would get his average speed
The average speed of Ahmed is 5 meters per second.
Important information:
Time taken by Ahmed = 50 secondsDistance = 250 metersWe need to find the average speed of Ahmed.
Average speed:Formula for average speed is:
[tex]\text{Average Speed}=\dfrac{\text{Distance}}{\text{Time}}[/tex]
Using this formula, the average speed of Ahmed is:
[tex]\text{Average Speed}=\dfrac{250}{50}[/tex]
[tex]\text{Average Speed}=5[/tex]
Thus, the average speed of Ahmed is 5 meters per second.
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John was born in 1951 and has been contributing to his own retirement plan as well as
Social Security for many years. John was trying to decide if he wanted to retire at 62 years of age rather than at 66 when he would reach full retirement age. According to the Social Security laws, John would receive a 25% reduction in his Social Security if he retired at 62. John went to the Social Security website and discovered that if he retired at 66 he would receive $2,460 a month in retirement from Social Security. How much would he receive if he retired at 62 rather than at 66?
a. $1,650 a month
b. $1,845 a month
c. $1,500 a month
d. $1,745 a month
Answer:
[tex]\boxed{\text{b. \$1845 a month}}[/tex]
Step-by-step explanation:
Amount if retired at 66 = $2460/mo
Less 25 % = 0.25 × 2460 = -615
Amount if retired at 62 = $1845/mo
John would receive [tex]\boxed{\text{\$1845/mo}}[/tex] if he retired at 62.
Circle M is circumscribed about right triangle ABC with legs 6 meters and 8 meters.
What is the exact circumference of ⊙M
ABC is a right triangle, so AC has length given by
[tex]AC^2=(6\,\mathrm m)^2+(8\,\mathrm m)^2\implies AC=\sqrt{100\,\mathrm m^2}=10\,\mathrm m[/tex]
Then the circumference of circle M is [tex]10\pi\,\mathrm m[/tex].
The woodlands middle school poll results show that about 79.3% of people who prefer pizza are students and about 81% of people who prefer burgers are students.
a : there is not enough evidence to support a relationship between lunch preference and role at school
b : there is evidence to support a relationship between lunch preference at school
Answer: A: there is not enough evidence to support a relationship between lunch preference and role at school
The relationship between poll result and the student preference is: option A, not enough evidence
Why is there no evidence?This due to the fact that the statistics in the question is incomplete. W do not have sufficient data that would be used for hypothesis testing.
Due to the fact above, we conclude that there is insufficient evidence to get the relationship between variables.
In conclusion, there is not enough evidence to support a relationship between lunch preference and role at school
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Please help me out ‼️
Answer:
7
Step-by-step explanation:
In similar triangles, corresponding elements are proportional. Then we get,
(2x + 1)/(x-1) = 10/4
4(2x +1) = 10(x-1)
8x + 4 = 10x - 10
8x = 10x - 14
2x = 14
x = 7
Hope it helps and if it does, please mark me brainliest...
Answer:
7
both sides are corresponding so triangleABC AB=AC.
The graphs of two cosine functions are shown below.
The function whose graph is B was obtained from the function whose graph is A by one of the following changes. That change was:
the addition of a negative constant
a change in amplitude
a phase shift
a period change
Answer:
"the addition of a negative constant"
Step-by-step explanation:
Please note the following points of functions regarding transformations:
1. If there is a change in amplitude, the function will be compressed/stretched vertically, keeping other variables constant
2. If there is a phase shift, the function would be horizontally transformed
3. If there is a period change, the function would be horizontally compressed/stretched
4. If there is addition of positive/negative constant, the function would shift vertically upward/downwards, respectively.
We can clearly see from the graph that the new function is a vertical downward shift from the original. Hence, looking at the above points, point #4, addition of a negative constant, is correct.
a box contains four $1 and six $5 bills. if three bills are selected at random without replacement, find the probability that all three are $5 bills.
A.27/125 B.1/4 C.1/6 D3/5
Answer:
C.1/6
Step-by-step explanation:
Initially the box has four $1 and six $5 bills. The probability of selecting a $5 bill in the first trial would be given as;
(number of $5 bills) / (total number of bills)
= (6)/(4+6) = 3/5
If in the first attempt we actually pick a $5 bill, the number of $5 bills will reduce by one to 5. Now, the probability of picking a $5 bill in the second attempt will be given as;
(new number of $5 bills) / (new total number of bills)
= (5)/(4+5) = 5/9
The new number of $5 bills will now be; 6 - 2 = 4 since we have already picked 2 without replacing them.
Now, the probability of picking a $5 bill in the third attempt will be given as;
(new number of $5 bills) / (new total number of bills)
= (4)/(4+4) = 1/2
Since the three attempts are independent, the probability of picking all three $5 bills is;
3/5 * 5/9 * 1/2 = 1/6
The probability of drawing three $5 bills from a box containing four $1 bills and six $5 bills, when the bills are drawn without replacement, is 1/6.
Explanation:The question is asking for the probability of drawing three $5 bills from a box containing four $1 bills and six $5 bills, given that the bills are drawn without replacement. This is a problem of combinatorial probability. We first find the total ways of selecting three bills from the box, then find the ways of selecting three $5 bills.
The total ways of selecting three bills is given by combination formula C(n, r) = n! / (r!(n-r)!), where n is the total number of bills and r is the number selected. In this case, n=10 (4 $1 bills and 6 $5 bills) and r=3. So, C(10,3) = 120.
The ways of selecting three $5 bills is C(6,3) = 20,
So the probability of drawing three $5 bills is 20/120 = 1/6.
Therefore, the correct answer is C. 1/6.
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What is the value of COS H?
Round to four decimal places if needed.
Answer:
Final answer is approx [tex]\cos\left(H\right)=0.4235[/tex].
Step-by-step explanation:
using given information from the attached picture, we need to find the value of cos(H) so let's apply the formula of cosine.
[tex]\cos\left(\theta\right)=\frac{adjacent}{hypotenuse}[/tex]
[tex]\cos\left(H\right)=\frac{GH}{FH}[/tex]
[tex]\cos\left(H\right)=\frac{36}{85}[/tex]
[tex]\cos\left(H\right)=0.423529411765[/tex]
Hence final answer is approx [tex]\cos\left(H\right)=0.4235[/tex].
Using the cosine ratio, the value of cos H to 4 decimal places is: A. 0.4235.
What is the Cosine Ratio?Cosine ratio is expressed as, cos ∅ = adjacent/hypotenuse of a right triangle.
Given:
∅ = H = ?Hypotenuse = 85Adjacent side = 36Therefore:
Cos H = 36/85
Cos H = 0.4235
Therefore, using the cosine ratio, the value of cos H to 4 decimal places is: A. 0.4235.
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The midsegment of a trapezoid is 11 cm in length. If one of the trapezoid's bases is 17 cm long, what is the length of the other base?
Answer:
x must be 5
Step-by-step explanation:
Recall that the area formula for a trapezoid is
A = (average of base lengths)(width)
Here we have
17 cm + x
(average of base lengths) = 11 cm = ----------------
2
So 2(11 cm) = 17 cm + x, or
22 cm = 17 cm + x
Then x must be 5.
To find the length of the other base of the trapezoid with a midsegment of 11 cm and one base of 17 cm, use the average property of the midsegment. The calculation reveals the other base is 5 cm in length.
Explanation:The question is about finding the length of the other base of a trapezoid when the length of the midsegment and one of the bases is known. The midsegment of a trapezoid is parallel and equal to the average of the two bases. Therefore, if the midsegment is 11 cm and one base is 17 cm, the other base can be found by setting up the equation:
Midsegment = (Base1 + Base2) / 2
Substitute the known values:
11 = (17 + Base2) / 2
Multiplying both sides by 2 gives:
22 = 17 + Base2
Subtracting 17 from both sides gives:
Base2 = 22 - 17
Base2 = 5
Thus, the length of the other base of the trapezoid is 5 cm.
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Which equation represents the perpendicular bisector of the given line segment?
A) x = 0
B) y = 0
C) y = x
D) x = 10
Answer:
Option D. [tex]x=10[/tex]
Step-by-step explanation:
step 1
Find the midpoint of the given line segment
we know that
The formula to calculate the midpoint between two points is equal to
[tex]M=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]
we have
[tex]A(5,10),B(15,10)[/tex]
substitute the values
[tex]M=(\frac{5+15}{2},\frac{10+10}{2})[/tex]
[tex]M=(10,10)[/tex]
step 2
Find the equation of the perpendicular bisector
we know that
The equation of a perpendicular bisector is equal to the x-coordinate of the midpoint, because is a vertical line (parallel to the y-axis)
therefore
the equation is equal to
[tex]x=10[/tex]
Answer:
10
Step-by-step explanation:
Find the value of the matrices
A) 17
B) 12
C) 15
D) 13
Answer:
option C is correct
Step-by-step explanation:
We need to find the determinant.
= -1(7*9 - 3*9)-( -3)(4*9 - 3*3) -2(4*9 -7*3)
= -1(63-27) +3 (36 - 9) -2( 36- 21)
= -1(36)+3(27)-2(15)
= -36+81-30
= 15
Option C is correct
Eight less than seven times a number is the same as for l four more than three times a number. Find the number.
Question :- Eight less then seven times a number is the same as for l four more than three times a number. Find the number.
Answer :-
Let the number be x
Therefore,
[tex]=> 8-7x = 4+3x[/tex]
[tex]=> 8-4 = 3x+7x[/tex]
[tex]=> 4 = 10[/tex]
[tex]=> X = 5/4[/tex]
Hope it helps!