Answer: He would make $1,170 a week.
Step-by-step explanation:
He makes $400 a week.
$55 per appliance sold, he sold 14 appliances.
$55 x 14 = $770
$400 + $770 = $1,170
Hope this helps!:)
Omar grouped the terms and factored the GCF out of the groups of the polynomial 3x3 – 15x2 – 4x + 20. His work is shown.
Step 1: (3x3 – 15x2) + (–4x + 20)
Step 2: 3x2(x – 5) + 4(–x + 5)
Omar noticed that he does not have a common factor. Which accurately describes what Omar should do next?
Omar should realize that his work shows that the polynomial is prime.
Omar should go back and regroup the terms in Step 1 as (3x3 – 15x2) – (4x + 20).
In Step 2, Omar should factor only out of the first expression.
Omar should factor out a negative from one of the groups so the binomials will be the same.
Answer:
2nd option
Step-by-step explanation:
Given
3x³ - 15x² - 4x + 20
step 1 ( group the first/second and third/fourth terms )
(3x³ - 15x² ) + (- 4x + 20)
step 2 ( factor each group )
3x² (x - 5) - 4(x - 5) ← note factor of - 4 ( not + 4 )
step 3 ( factor out (x - 5) from each term )
(x - 5)(3x² - 4)
Answer:
ITS D !!!!
Step-by-step explanation:
got it right on test
Graph the hyperbola Y^2/16 - x^2/ 9= 1 What type of transverse axis does it have?
A hyperbola is an open curve with two branches, the intersection of a plane with both halves of a double cone.
To graph the hyperbola y^2/16 - x^2/9 = 1 and determine its type of transverse axis, follow these steps:
Step 1: Identify the center of the hyperbola.
The center of the hyperbola is at the origin, (0, 0), since there are no shifts in the equation.
Step 2: Determine the orientation of the hyperbola.
The positive term in the equation is associated with y^2, so the hyperbola will be vertically oriented. This means that the transverse axis will be vertical.
Step 3: Calculate the distance from the center to the vertices.
The distance to the vertices is given by the square root of the denominator under the y^2 term. In this case, it is √16 = 4. The vertices are then at (0, ±4).
Step 4: Calculate the distance from the center to the co-vertices.
The distance to the co-vertices is given by the square root of the denominator under the x^2 term. In this case, it is √9 = 3. The co-vertices are at (±3, 0).
Step 5: Sketch the hyperbola.
Plot the center, vertices, and co-vertices. Draw the asymptotes through the center and the corners of the rectangle formed by the vertices and co-vertices. Finally, draw the hyperbola opening vertically along the transverse axis.
In conclusion, the hyperbola y^2/16 - x^2/9 = 1 has a vertical transverse axis.
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Select the place where the digit 6 sits in this number. 607,182
Answer:
Hundred Thousand
Step-by-step explanation:
Hundred Thousand
I hope it helped you
Answer:
Hundred thousand
Step-by-step explanation:
The digit 6 is in the hundred thousand place.
To understand place values, see the attached file.
\(\rule[225]{225}{2}\)
Noah makes cookies for all his class and each batch of cookies uses 1 3/4 cups of flour. If he uses 15 3/4 cups of flour in all, how many batches of cookies did he make?
Answer:
9 batches of cookies
Step-by-step explanation:
1 3/5 -> 1.75 ; 15 3/5 -> 15.75
1.75*9=15.75
9
Please help asap! Due tonight!
Answer:
Second choice, 3
Step-by-step explanation:
a^2 + b^2 = c^2
4^2 + b^2 = 5^2
16 + b^2 = 25
b^2 = 9 (square root both sides)
b = 3
BRAINLIEST!!!!! Write an algebraic expression from this verbal expression: six less than five times number squared
Answer:
5(x²)-6
Step-by-step explanation: please give brainliest
find the area of the figure. (3.14 for pi)
Answer:
140
16x8=128
12-8=4
16-10=6
6x4=24
24/2=12
12+128=140
a right hexagonal prism has a height of 3 feet and each edge of the hexagonal bases is 6 inches. what is the sum of the areas of the non-hexagonal faces of the prism, in square feet?
The sum of the areas of the non-hexagonal faces of the prism is 9 square feet.
A right hexagonal prism has only one type of non-hexagonal faces: six rectangular faces.
Since the base of the hexagon is a regular hexagon, the length of each side of the base is 6 inches. Using the formula for the perimeter of a regular hexagon, P = 6*s
we can find that the perimeter of the hexagon is,
Perimeter = 6*6 inches = 36 inches = 36/12 feet = 3 feet
The total area of six rectangular faces is found by multiplying the length of the perimeter by the height of the prism.
Area= Perimeter* height
=3 feet * 3 feet
= 9 sqft
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square root 32 multiplied by square root 24
Answer:
16 times the square root of 3
Step-by-step explanation:
√32 × √24
= √(2×2×2×2×2) × √(2×2×2×3)
= 2×2√2 × 2√(2×3)
= 4√2 × 2√6
= 4×2(√2×√6)
= 8√12
= 8√2×2×3
= 8×2√3
= 16√3
Answer is 16√3
What evidence is needed to prove two triangles are similar by the SSS similarity theorem?
Consider the same figure as given above. It is observed that DP/PE = DQ/QF and also in the triangle DEF, the line PQ is parallel to the line EF.
So, ∠P = ∠E and ∠Q = ∠F.
Hence, we can write: DP/DE = DQ/DF= PQ/EF.
The above expression is written as
DP/DE = DQ/DF=BC/EF.
It means that PQ = BC.
Hence, the triangle ABC is congruent to the triangle DPQ.
(i.e) ∆ ABC ≅ ∆ DPQ.
Thus, by using the AAA criterion for similarity of the triangle, we can say that
∠A = ∠D, ∠B = ∠E and ∠C = ∠F.
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A ________ is a set of points that extends infinitely in both directions.
Answer:
line
Step-by-step explanation:
A line is a set of points that extends infinitely in both directions.
What are some things to be aware of that can lead to higher than expected total when making a purchase or checking out?
Answer:
Taxes and shipping if checkout is online.
Step-by-step explanation:
Given a function value of an acute angle, find the other five trigonometric function values
well, we know that θ is an acute angle, that means is in the I Quadrant, that means that cosine and sine are both positive and likewise adjacent and opposite sides of θ, so let's use the pythagorean theorem to find the missing side
\(sin(\theta )=\cfrac{\stackrel{opposite}{5}}{\underset{hypotenuse}{13}}\hspace{5em}\textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{13^2 - 5^2}=a\implies \pm 12=a\implies \stackrel{I~Quadrant}{+12=a} \\\\[-0.35em] ~\dotfill\)
\(cos(\theta )=\cfrac{\stackrel{adjacent}{12}}{\underset{hypotenuse}{13}}~\hfill tan(\theta )=\cfrac{\stackrel{opposite}{5}}{\underset{adjacent}{12}} ~\hfill cot(\theta )=\cfrac{\stackrel{adjacent}{12}}{\underset{opposite}{5}}~\hfill \\\\\\ sec(\theta )=\cfrac{\stackrel{hypotenuse}{13}}{\underset{adjacent}{12}}\hspace{3em} csc(\theta )=\cfrac{\stackrel{hypotenuse}{13}}{\underset{opposite}{5}}\)
A recipe for biscuits calls for 1/4 teaspoon baking powder per 1 2/3 cups of flour. What is the unit rate for baking powder and flour?
The ratio of baking powder to flour is 1/192 teaspoon of baking powder for every teaspoon of flour.
The amount of baking powder per unit of flour is the unit rate for baking powder and flour. The amount of flour in this situation equals 1 2/3 cups. We must change the baking powder measurement to the same unit as the flour measurement in order to calculate the unit rate.
For every 1 2/3 cups of flour, 1/4 teaspoon of baking powder should be used as follows:
1/4 teaspoon / (1 2/3 cups)
By changing the numerator and denominator of the fraction on the right side to a standard unit, such as teaspoons, we may make it simpler. 1 2/3 cups equal 48 teaspoons, so:
1/4 teaspoon / (1 2/3 cups) = 1/4 teaspoon / (48 teaspoons)
The ratio of baking powder to teaspoons is as follows:
1/4 teaspoon / (48 teaspoons) = 1/192 teaspoon per teaspoon
So The ratio of baking powder to flour is 1/192 teaspoon of baking powder for every teaspoon of flour.
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(A lot of points to whoever can help me out!!) I need help with this!!
The completed statements with regards to the compound interest of the amount in the account are;
If the account has a 5% interest rate and is compounded monthly, you have $101.655 million money after 2 years
If the account has a 5% interest rate compounded continuously, you would have $106.096 million money after 2 years
What is the compound interest on an amount?Compound interest is the interest calculated based on the initial amount and the accumulated interests accrued from the periods before the present.
The compound interest formula indicates that we get;
\(A = P\cdot (1 + \frac{r}{n}) ^{n\cdot t}\)
Where;
P = The principal amount invested = $92 million
r = The interest rate = 5% monthly
n = The number of times the interest is compounded per annum = 12
t = The number of years = 2 years
Therefore; \(A = 92\cdot (1 + \frac{0.05}{12}) ^{12\times 2}\approx 101.655\)
The amount in the account after 2 years is therefore about $101.655 million
The formula for the amount in the account if the principal is compounded continuously, we get;
A = \(P\cdot e^{(r\cdot t)}\)
Therefore, we get;
\(A = 96 \times e^{0.05 \times 2} \approx 106.096\)
The amount in the account after 2 years, compounded continuously therefore, is about $106.096 million
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NEED HELP WILL MARK THE BEST!!!!
Answer:
W = 23 degrees
Step-by-step explanation:
91 + 131 = 222
The sum of the polygon should equal 360 degrees. Therefore we subtract 360 - 222 = 138
Trial and error shows you that 2 x 23 = 46
46 + 46 + 46 + 222 = 360 degrees.
The diagram below represents a field PQRSTU with a circular pond of diameter 14 56m Find the following: distance round the field; area of the field excluding the pond. {take π= 22/7}
Therefore , the solution to the given problem of circle comes out to be
572 yard^2.
What is a circle?Each point in the plane that is a certain distance from some other point forms a circle (center). Thus, it is an curve composed of spots that are spaced apart from one another in the plane. Additionally, at every angle, it is axis of rotation symmetric about the center. The closed, two-dimensional plane of a circle has every pair of points uniformly separated from the "center." With tracing a path through the circle, one can create a line of circular symmetry. Additionally, at every angle, it is radially symmetric about the center.
Here,
area=pi times
radius2 area=3.14 times 13.52
=>3.14 times diameter=2radius dameter/2
=>radius d=27 27/2=radius.
The answer, 182.25=572.265,
Area is 572 yards.
Therefore , the solution to the given problem of circle comes out to be
572 yard^2.
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Luke receives an electric bill of \$84.21$84.21dollar sign, 84, point, 21 for the month of April. The electric company charges \$0.14$0.14dollar sign, 0, point, 14 per kilowatt-hour (\text{kWh})(kWh)left parenthesis, start text, k, W, h, end text, right parenthesis of electricity. Given that April has 303030 days, about how many kilowatt-hours did Luke use per day during the month of April?
Choose 1 answer:
Given that April has 30 days, Luke used, on average, 20.05 kilowatt-hours of electricity per day during April.
What is average?The average is the mean value obtained by dividing the total value of a data set by the number of items.
In this situation, we can divide the total electric bill for April by 30 to obtain the average daily charge.
In addition, we can divide the average charge per day by the cost per kilowatt-hour to obtain the number of kilowatt-hours used per day.
The total electric bill for April = $84.21
The charge per kilowatt-hour (kWh) = $0.14
The number of days in April = 30
The bill per day = $2.807 ($84.21/30)
The kilowatt-hours per day = 20.05 kWh ($2.807/$0.14)
Thus, Luke used an average of 20.05 kilowatt-hours per day in April.
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The Area of a room (rectangle) is 320 square feet. If the length is 20 in, what is the perimeter?
Answer:
72 sq ft
Step-by-step explanation:
A = l × w
320 = 20w
------ ------
20 20
16 = w
16 + 16 + 20 + 20
^ ^
32 + 20 + 20
^ ^
32 + 40
72
The perimeter is 72 square feet.
Hope this helped.
What is the slope and y-intercept of the following equation: y = -4 +2x
Answer:
slope = 2, y- intercept = - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 4 + 2x , that is
y = 2x - 4 ← is in slope- intercept form
with slope m = 2 and y- intercept c = - 4
A bag has 25 beads in it.the probability of picking a white bead is 3/5.how many white beads are in the bag
An architect's model for a building is 1.4 m long and 0.8 m wide. The actual building is 240 m wide. What is the length of the building
Answer:
214.285714286 m
Step-by-step explanation:
240/1.4
240/1.4/0.8
Answer:
Step-by-step explanation: I think its 298.25 i'm not sure wait for other people to give you answers
Write an equation that shows the relationship 30%of 105 is x
The equation that shows the given relationship is:
105*0.3 = x
How to write the equation for the given relationship?We want to write an equation that shows the relationship.
30% of 105 is x.
First, remember that if we take a percentage X of a number N, the expression is:
N*(X/100%).
In this case we are taking the 30% of 105, then the expression is:
105*(30%/100%)
105*0.3
And that must be equal to x, then the equation that we want is:
105*0.3 = x
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How do you simplify and verify trig identities?
In order to simplify and verify trig identities, one needs to use the rules of trigonometry and algebra to manipulate the equation until it is in a simplified form.
The most common trig identities to remember include the Pythagorean identity, reciprocal identities, quotient identities, and sum and difference identities. When simplifying an equation, it is important to remember to include the negative sign when necessary and to factor out any common factors.
After simplifying, it is important to verify the equation. This can be done by plugging in known values for the variables and verifying that the equation is true. By utilizing the rules of trigonometry and algebra, one can simplify and verify trig identities. This process is essential for working with trigonometric functions.
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The expression sqrt 200 is equivalent to
A: 25 sqrt 8
B: 100 sqrt 2
C: 2 sqrt 10
D: 10 sqrt 2
Answer: D
Step-by-step explanation: just took it
Type the correct answer in the box. use numerals instead of words. the weight of a bag of golf balls varies directly as the number of golf balls in the bag. if a bag of 69 golf balls weighs 2,553 grams, how many golf balls are in a bag that weighs 1,110 grams? number of golf balls:
A total of 30 golf balls are there in the bag that weighs 1110 grams.
A total of 69 golf balls weights 2553 grams in a bag.
It is asked that how much golf balls does make 1110 grams of weight.
Let us say that the weight of one ball is X.
So, Using unitary method,
We can write,
69 times mass of one golf ball = 2553 grams.
69X = 2553
X = 2553/69
X = 37 grams.
Hence, the weight of one ball is 37 grams.
Now, let us say that Y balls weights 1110 grams,
So, we can write,
Y time weight of one ball = 1110
37Y = 1110
Y = 1110/37
Y = 30.
Hence, 30 golf balls will weight 1110 grams.
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Answer:
30
Step-by-step explanation:
If 3x + y = 33 and x +y = 17, then what is the value of x?
Answer:
x= 8
Step-by-step explanation:
step: Substitute−3x+33 for y in x+y=17:
x+y=17
x+−3x+33=17
−2x+33=17(Simplify both sides of the equation)
−2x+33+−33=17+−33(Add -33 to both sides)
−2x=−16
If 3x + y = 33 and x +y = 17, then the value of x is 8. See the analysis below.
How to compute the aboveTo find the value of x, we can solve the given system of equations -
Equation 1 - 3x + y = 33
Equation 2 - x + y = 17
We can use the method of substitution or elimination to solve the system. Here, we will use the method of elimination.
Multiplying Equation 2 by 3, we get -
3(x + y) = 3(17)
3x + 3y = 51
Now we can subtract Equation 1 from the modified Equation 2 -
(3x + 3y) - (3x + y) = 51 - 33
2y = 18
Dividing both sides of the equation by 2 -
2y/2 = 18/2
y = 9
Substituting the value of y into Equation 2 -
x + 9 = 17
x = 17 - 9
x = 8
Therefore, the value of x is 8.
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Please help asap, i’m really confused what answer this is plus the explanation... ty so much for the help
Answer:
which grade u r in I'm in 10th grade and Indian
Answer:
303
Step-by-step explanation:
This is an arithmetic sequence or pattern. for this we need to find out the pattern going up.
Working Out
the number are going up by 4, the difference between each number is 4the first number is 15we need to fin the 73rd number, and since this pattern goes up by 4 we need to multiply 73 by 473 × 4 = 292
15 + 292 = 307 (15 is the first number we add 15 to it.)
307 - 4 = 303 (15 is the first number so we need to add 72 more places,
not 73 like we did.)
good luck!
-cheesetoasty
Answer this easy geometry question
Answer:
1684.8 cubic units
Step-by-step explanation:
In oblique cylinder the height (altitude) is measured from the opposite base to the base of the cylinder, but it lies outside. We can find the height using Pythagoras theorem.
h + 7² = 13²
h²= 169 - 49
h² = 120
h = √120
h = 10.95 units
radius = r = 7 units
\(\boxed{\text{\bf Volume of oblique cylinder = $\bf\pi r^2h$} }\)
= 3.14 * 7 * 7 * 10.95
= 1684.8 cubic units
Write the negation of the following statement: ABC and DEC are
complementary angles.
A)OZABC and ZDEC are not complementary angles.
B)ZABC and ZDEC are supplementary angles.
C)The sum of ABC and ZDEC is 180 degrees.
D)The sum of ABC and ZDEC is 90 degrees.