How would I solve this problem???
What is the product of 2.4 • 103 and 1.5 • 103? (1 point)
3.6 • 106
3.9 • 106
3.6 • 109
3.9 • 109
Answer:
2.4 *103 = 247.2
1.5*103 = 154.5
3.6*106 = 381.6
3.9*106 = 413.4
3.6*109 = 392.4
3.9*109 = 425.1
Step-by-step explanation:
2.4 * 103
we firstly count decimal numbers
in the calculation
only 2.4 has a decimal and only one number after the point
so we keep it aside making
2.4 = 24 1 dp (decimal place)
back to the calculation
1 0 3
* 2 4
----------
4 1 2
2 0 6
-------------
2 4 7 2
-------------
don't forget we still have a dp !
so we place the point 1 step backward
2472 to 1dp =
247.2
with this we can solve orders
I need the answer along with the procedure.
Answer:
A (2.5, 4 )
Step-by-step explanation:
the coordinates of A are the intersection of the 2 lines AB and AC , that is
2x + 3y = 17 → (1)
4x - y = 6 → (2)
multiplying (2) by 3 and adding to (1) will eliminate y
12x - 3y = 18 → (3)
add (1) and (3) term by term to eliminate y
14x + 0 = 35
14x = 35 ( divide both sides by 14 )
x = [tex]\frac{35}{14}[/tex] = 2.5
substitute x = 2.5 into either of the 2 equations and solve for y
substituting into (1)
2(2.5) + 3y = 17
5 + 3y = 17 ( subtract 5 from both sides )
3y = 12 ( divide both sides by 3 )
y = 4
solution is (2.5, 4 )
A school is arranging a field trip to the zoo. The school spends 544.95 dollars on passes for 41 students and 4 teachers. The school also spends 348.91 dollars on lunch for just the students.how much money was spent per student
Answer: I believe it is $20.62
Step-by-step explanation: the student passes+ the food was $845.42 divede that by the 41 students.
what is the length of vw?
[tex] \frac{vz}{zy} = \frac{vw}{wx} \ \: \\ \\ \frac{16.5 }{27.5} = \frac{vw}{36} [/tex]
so
vw= (16.5×36)÷27.5= 21.6
vw=21.6
I hope it helps
please mark brainliest ♡♡
find x. image is below
Answer:
x=30 degrees
Step-by-step explanation:
there are 3theorems that can be used for this
vertical angle theorem: vertical angles congruent
triangle sum theorem: all angles in triangle add up to 180 degrees
straight line?? i forgot the name: a straight line is 180 degrees
refer to image attached
measure of angle BAC is 36 degrees by vertical angle theorem.
look at the angle 105 degrees. it and a unknown degree to the left equal 180 because it makes a straight line. so measure of angle BDC is 180-105 degrees. measure of angle BDC is 75 degrees
then sum of all the angles in triangle ABD is 180
36 +(39+x) +75=180 degrees
solve equation
x +150=180
x=30 degrees
hope this helps !!
I need the answer to this help?
Answer:
x = 20
You do 120 + 3x = 180
It's same-side interior.
1. If a polynomial of Degree 4 has an imaginary zero at -2i and a real zero at 5, how many imaginary zeros does it have?
and how many real zeros does it have?
2. If a polynomial has a Degree of two, how many imaginary zeros could it have? and how many real zeros could it have?
Answer:
Complex roots for polynomials equations will always come in conjugate pairs. Since 1-2i is a root, 1+2i will also be a root. (Just switch the sign of the imaginary part to its opposite.)
Step-by-step explanation:
So far we have 1-2i and 1+2i as roots. We need two more to make a 4th degree polynomial.
x=1 with multiplicity of 2 means that we count the root twice when we write down the polynomial: (x - 1)(x - 1) = (x - 1)2
Putting it all together, we can construct our polynomial of degree 4 as
y = f(x) = (x - 1)(x - 1)[x - (1-2i)][x - (1+2i)]
Multiply the factors (FOIL):
[x - (1-2i)][x - (1+2i)] =
x2 - (1+2i)x - (1-2i)x + (1-2i)(1+2i) =
x2 - x - 2ix - x + 2ix + (1 + 2i - 2i + 4) =
x2 - 2x + 5
(x - 1)(x - 1) = x2 - x - x + 1 = x2 - 2x + 1
Now multiply the two underlined expressions:
y = (x2 - 2x + 5)(x2 - 2x + 1)
= x4 - 2x3 + 5x2 - 2x3 + 4x2 - 10x + x2 - 2x + 5 by multiplying term by term
= x4 - 4x3 + 10x2 -12x + 5 by collecting like terms.
Mikes turkey burger recipe calls for 4 pounds of ground turkey. How many ounces of ground turkey should mike purchase at the local grocery store?
Please help I don’t understand this
E( _15_, _5_ )
F(_15_, _10_)
G(_15_, _10_)
H(_5_, _15_)
I'm not really sure if those are the right answers, but from what I was taught in school, I think so.
What is equivalent to (73)–2
Answer:
71
Step-by-step explanation:
(73)-2 is equivalent to 71
Answer:
71
Step-by-step explanation:
A stack of logs has 22 logs on the bottom layer. Each subsequent layer has 4 fewer logs than the previous layer. If the top layer has two logs, how many total logs are there in the pile?
Answer:
88
Step-by-step explanation:
If the top layer has two logs, there are a total of 88 logs in the pile
How to solveNumber of logs in the bottom layer = 22
Number of logs in the top layer = 2
Number of logs in each subsequent layer = 22 - 2 = 20
Number of layers in the pile = 22 - 2 + 1 = 21
Total number of logs in the pile = 22 + 20 + 18 + ... + 2
This is an arithmetic series with first term 22, last term 2, and common difference -4.
The sum of an arithmetic series is given by the following formula:
sum = (first term + last term)/2 * number of terms
sum = (22 + 2)/2 * 21 = 88
Therefore, there are a total of 88 logs in the pile.\
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PLEASE HELP 33 POINTS AND I WILL MARK BRAINLIEST!!!!!!!! THANKS!!!!!!!!!!!
Sarah has two similar regular pyramids with pentagon-shaped bases. The smaller has a scale factor of 2:3 when compared to the larger. Only the smaller pyramid is shown.
She calculates the area of the base of the pyramid (through long, hard work) to be 220.22 square units. The height of the pyramid is 9 units. Now she needs to calculate the volume of the pyramid.
(a) Calculate the volume of the pyramid for Sarah.
(b) "Oh, no!" Sarah exclaims. "Now I have to go through all this hard work again to find the volume of the larger pyramid!" Does she? Explain.
(c) Calculate the volume of the larger pyramid for Sarah.
(a) Volume of any Pyramid = [tex]\frac{1}{3} * (Base-Area)*height = \frac{1}{3} *220.22*9 = 660.66[/tex] cubic units
(b) Sarah doesn't have to go through all the hard work as the smaller pyramid has a ratio of 2:3 to the bigger pyramid, so we get the equation, to help us solve it.
[tex]660.66 = \frac{2}{3} *(Area-of-larger-pyramid)[/tex]
Hope that helps!
Step-by-step explanation:
(a) To calculate the volume of a pyramid, you can use the formula: V = (1/3) * B * h, where V is the volume, B is the area of the base, and h is the height of the pyramid.
In this case, Sarah has the area of the base (B) as 220.22 square units and the height (h) as 9 units. Let's substitute these values into the formula:
V = (1/3) * 220.22 * 9
V ≈ 660.66 square units
Therefore, the volume of the smaller pyramid is approximately 660.66 cubic units.
(b) No, Sarah doesn't need to go through the hard work again to find the volume of the larger pyramid. Since the two pyramids are similar, the ratio of their volumes will be equal to the cube of the ratio of their corresponding sides.
The scale factor of the smaller pyramid compared to the larger pyramid is 2:3. Since the scale factor is determined by the corresponding sides, it applies to both the base length and the height of the pyramid. Therefore, the volume of the smaller pyramid compared to the larger pyramid is (2/3)^3 = 8/27.
In other words, the volume of the smaller pyramid is 8/27 times the volume of the larger pyramid. So if Sarah already knows the volume of the smaller pyramid, she can simply multiply it by 27/8 to find the volume of the larger pyramid.
(c) To calculate the volume of the larger pyramid, we can use the ratio mentioned above:
Volume of the larger pyramid = (Volume of the smaller pyramid) * (27/8)
Volume of the larger pyramid ≈ 660.66 * (27/8)
Volume of the larger pyramid ≈ 2239.99 square units
Therefore, the volume of the larger pyramid for Sarah is approximately 2239.99 cubic units.
Please mark as y
Which equation can be used to find the measure of angle LKJ? cos−1(StartFraction 8. 9 Over 10. 9 EndFraction) = x cos−1(StartFraction 10. 9 Over 8. 9 EndFraction) = x sin−1(StartFraction 10. 9 Over 8. 9 EndFraction) = x sin−1(StartFraction 8. 9 Over 10. 9 EndFraction) = x.
The equation that can be used to find the measure of angle LKJ is
x = Sin⁻¹ (8.9/10.9).
what are trigonometric ratios?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
As we know that
sine of an angle = perpendicular/hypotenuse
Sine of ∠LKJ = 8.9/10.9
∠LKJ = Sin⁻¹ (8.9/10.9)
x = Sin⁻¹ (8.9/10.9)
Therefore, the equation that can be used to find the measure of angle LKJ is x = Sin⁻¹ (8.9/10.9).
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what is the value of f(1) when f(x)=3x^3-2x^2-3x+18
Answer:
f(1) = 16
Step-by-step explanation:
f(1) = [tex]3(1)^{2} -2(1)^{2} -3(1)+18[/tex]
f(1) = [tex]3-2-3+18[/tex]
f(1) = 16
Employment Frequency
The table shows the frequencies for the data from the
previous task about part-time employment for 15
randomly selected high school students. Use the
information to complete the relative frequency column of
the table. Express answers as percentages rounded to
the nearest whole number.
Relative
Frequency
7%
1
6
40%
babysitter
food service
lifeguard
retail
3
A
5
B
A=
=> 20%
B =
=> 33%
A= 20%
B= 33%
What is Relative Frequency?
Relative frequency is simply the number of outcomes in a particular subgroup (f) divided by the total number of outcomes in an experiment (n).
Thus, Relative frequency= f/n
In the above question, we need to find the relative frequencies of 2 subgroups- lifeguards and retail.
For lifeguards, f=3 and n=15
∴ Relative Frequency (A) = [tex]\frac{3}{15}[/tex]
Since we've to express it in percentage form,
A= [tex]\frac{3}{15}[/tex] * 100
= 20%
Similarly for retail-
B= [tex]\frac{5}{15}[/tex] * 100
= 33%
Thus, A= 20% and B= 33%
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How many solutions does -3(2x + 6) = -6x - 18 have
Answer: 0=0 The input is an identity or it is true for all values
-3(2x+6)=-6x-18
(-3*2x)+(-3*6)=-6x-18
-6x+-18=-6x-18
0=0
4x < 32
Literally help please
Step-by-step explanation:
???
this is completely simple :
4x < 32
x < 8
I NEED HELP PLS I WILL GIVE CROWN: Mr. Crow, the head groundskeeper at High Tech Middle School, mows the lawn along the side of the gym. The lawn is rectangular, and the length is 5 feet more than twice the width. The perimeter of the lawn is 250 feet.
Answer:
Mr. Crow dimension of the lawn = 85 × 40
Area of the lawn = 3250 square feet
Step-by-step explanation:
Let x represents the width of the rectangle,
Then According to the question,
The length of the rectangle = 2 x + 5
Also it is given that the perimeter of the rectangle = 250 feet.
But we know that the perimeter of the rectangle = 2 × ( length + width)
Thus, the perimeter of the rectangle = 2( 2x+5+x) = 2(3x+5) = 6x+10
If x = 30, the perimeter of the rectangle = 6 × 30 + 10 = 190 < 250
Thus, x ≠ 10.
If x = 50, the perimeter of the rectangle = 6 × 50 + 10 = 310 > 250
Thus, x ≠ 50
If x = 40, the the perimeter of the rectangle = 6 × 40 + 10 = 250 = 250
Thus, x = 40
Therefore, the width of the rectangle, x = 40 feet.
And, the length of the rectangle, 2 x + 5 = 2 × 40 + 5 = 85 feet.
1) The dimension of the rectangle = 85 × 40
2)The area of the rectangle = length × width = 85 × 40 = 3250 square feet.Let x represents the width of the rectangle,
Then According to the question,
The length of the rectangle = 2 x + 5
Also it is given that the perimeter of the rectangle = 250 feet.
But we know that the perimeter of the rectangle = 2 × ( length + width)
Thus, the perimeter of the rectangle = 2( 2x+5+x) = 2(3x+5) = 6x+10
If x = 30, the perimeter of the rectangle = 6 × 30 + 10 = 190 < 250
Thus, x ≠ 10.
If x = 50, the perimeter of the rectangle = 6 × 50 + 10 = 310 > 250
Thus, x ≠ 50
If x = 40, the the perimeter of the rectangle = 6 × 40 + 10 = 250 = 250
Thus, x = 40
Therefore, the width of the rectangle, x = 40 feet.
And, the length of the rectangle, 2 x + 5 = 2 × 40 + 5 = 85 feet.
1) The dimension of the rectangle = 85 × 40
2)The area of the rectangle = length × width = 85 × 40 = 3250 square feet.
Samira babysits for 4. 5 hours and earns $22. 50. How much does she earn per hour?
P
Answer:
5$ per hour
Step-by-step explanation:
[tex] \frac{22.50}{4.5} = 5[/tex]
7x means?? help im unable to solve
Answer:
7x, or seven times in multiplication
Step-by-step explanation:
Hope it helps
The family size of sunscreen 12 fluid ounces(fl oz)of sunscreen.The regular bottle holds 75% less.
How many fewer fl oz does the regular bottle hold
Answer: 9
Step-by-step explanation: Given The family size sunscreen bottle contains 12 fluid ounces of sunscreen. The standard bottle holds only 75% as much. The normal sunscreen container contains how many fewer fluid ounces?
A 12-ounce family-size bottle is available. However, the regular bottle contains 75% less.
So, 75/100 x 12 = 9 ounces.
As a result, a standard bottle may store 9 ounces of liquid.
Hope this helps!
A factory makes rectangular boxes. The area of the top surface can be modeled by the function: f(x) = 66x^2 + 17x + 1. The width of the top surface can be modeled by the function: g(x) = 6x + 1.
Write an expression, h(x), in standard form that describes the length of the top surface.
Answer in a complete sentence.
Thank you so much in advanced
The length of the top surface is given by h(x) = 11x + 1.
AreaArea is the amount of space occupied by a two dimensional object or figure. The area (A) of a rectangle is given by:
A = length * width
Let h(x) represent the width, hence:
66x² + 17x + 1 = (6x + 1)(11x + 1)
Since the width is g(x) = 6x + 1, hence the length = 11x + 1
The length of the top surface is given by h(x) = 11x + 1.
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what is the equivalent to this fraction
6/8 & 3/4 = ?
Answer:
3/4 x 2/2= 6/8
Step-by-step explanation:
multiply 3/4 x 2/2 to equal = 6/8
Donna reads a book at a rate of 20 chapters per hour.
How many chapters does she read in 4 hours?
Answer:
20/1=20 1 hour read one book
Step-by-step explanation:
4 chapter read in 4 hour because 1 chapter read in one gour
Answer:
80
Step-by-step explanation:
When working with rates, multiplication is very useful. Rate questions will give a specific rate and then a time period. They often ask, based on the rate, what can be achieved in the given time period.
The question says that if Donna can read 20 chapters in 1 hour, how many chapters can she read in 4 hours. To solve this, you can multiply 20*4; this will show how many chapters she reads in the given time period.
Since 20*4=80, she must read 80 chapters in 4 hours.
(50pts) What is the equation for the line in slope-intercept form?
Answer:
y = 8x
Step-by-step explanation:
See attached image.
What is the value of the expression shown below?
3 over 5 to the power of 2 + 4 × 3 − 2 (4 points)
10 and 9 over 25
11 and 2 over 25
12 and 9 over 25
13 and 2 over 25
Answer:
10 and 9 over 25
hop you will like it
Which Fraction Is Equal To 3 2/5
Answer:
17/5
Step-by-step explanation:
That should be your answer
Answer:
[tex]3\frac{2}{5} = \frac{17}{5}[/tex] also [tex]\frac{34}{10} = \frac{17}{5}[/tex]
or ..
3.4
Is this table linear or exponential and what do B or M represent
Linear; m =
Exponential; b =
Answer:
well it's exponential so b. b=×2 or everytime x goes up by 1 y is multiplied by2
How do i solve this problem I’ve been trying for a while
Answer:
Your idea of building a table is not a bad start if you want accurate points.
Else, it's a parabola. It's y intercept has the non-zero coordinate equal to the constant term (red dot on the graph).
It's x intersects you find by solving
[tex]2x^2+12x+4 = 0 \rightarrow x^2+6x+2=0\\ x_1_,_2= -3\pm\sqrt7\\x_1\approx -0.35\\x_2\approx-5.35[/tex]
(green dots).
Simmetry axis has equation [tex]x=-\frac{b}{2a} = -\frac{12}{4}=-3[/tex] (orange line).
Vertex sits on this line and is in the parabola, so it's other coordinate is
[tex]2(-3)^2+12(-3)+4= -14[/tex] (orange dot).
At that point you either continue with the table, or you go for a "good enough" and try to draw a better looking parabola than mine.
for 100 points and brainliest if right
Answer:
The answer to this question is 238 mm^2
Step-by-step explanation:
You are correct!!
good luck on the assignment
Answer:
238 cm²
calculate the area of bigger rectangle:
length * width
11 * (5 + 4 + 5 + 4 )
11 * 18
198 cm²
calculate the area of 2 smaller rectangle:
2 ( length * width )
2 ( 5 * 4 )
2 ( 20 )
40 cm²
total area of both:
40 + 198
238 cm²
