Answer: 2,125,764
Step-by-step explanation:
You can use the equation y=ar^n-1 to find the 13th term where a is the starting term, r is the common ratio, and n is the nth term
The next number is 12/4=3 times greater than the first. So if this sequence is a geometric one, then the next term must be 12*3=36. This is true, and the next term must be 36*3=108, which is also true. Therefore this sequence is a geometric one and its common ratio is 3. Therefore the equation is:
y=4*3^(n-1)
Substitute 13 for n:
y=4*3^(13-1)
y=4*3^12
y=2125764
Therefore, the 13th term of this geometric sequence is 2,125,764
A small rectangular prism has a length of 5 inches, a width of 4 inches, and a volume of 100 cubic inches. A large rectangular prism also has a length of 5 inches and a width of 4 inches, but its volume is 200 cubic inches.
How much taller is the large prism than the small prism?
Step-by-step explanation:
the volume of a prism is
length × width × height
so, for the small prism we have
5 × 4 × height = 100 in³
height = 100/20 = 5 in
for the large prism we have
5 × 4 × height = 200 in³
height = 200/20 = 10 in
the larger prism is 10/5=2 times taller than the small prism.
There is a total of 36 books on the bookshelf. The number of hardback books is 15 more than twice the number of paperback books. How many hardback books are on the bookshelf?
The number of hardback books that are on the bookshelf is 29 books.
Let the total number of books be T.Let the number of hardback books be H.Let the number of paperback books be P.Given the following data:
Total number of books = 36 booksTo determine the number of hardback books that are on the bookshelf:
Translating the word problem into an algebraic expression, we have;
The total number of books is:
[tex]T = H+P[/tex]
The number of hardback books is 15 more than twice the number of paperback books:
[tex]H =2P+15[/tex]
Substituting the given parameters into the formula, we have;
[tex]36 = 2P+15+P\\\\36=3P+15\\\\3P=36-15\\\\3P=21\\\\P=\frac{21}{3}[/tex]
P = 7 books
For number of hardback books:
[tex]H =2P+15\\\\H=2(7)+15\\\\H=14+15[/tex]
H = 29 books
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What is the quotient of 8.44 and 0.04?
10 pts
8.44/0.04=211
hope this helps!
Answer:
211
Step-by-step explanation:
8.44 divided by 0.04 = 211
A pair of parallel lines is cut by a transversal:
A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is divided into 2 parts by a slanting line. One part of this angle is labeled as x, and the other part is labeled as 30 degrees. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as 75 degrees.
What is the measure of angle x?
10 degrees
15 degrees
45 degrees
60 degrees
Answer:
i wish i could help but i'm trynna figure that out myself
Step-by-step explanation:
Answer:
im pretty sure it might be 50
Step-by-step explanation:
15.21 x 0.72 can somebody help its an assignment
Answer:
10.9512
Step-by-step explanation:
Answer:
10.9512 (not sure if u have to round it)
Step-by-step explanation:
can someone help me. these are due tonight.
Answer:
x = 4
Step-by-step explanation:
3x-4 = 8
3x = 12
x = 4
good luck
Answer:
x = 4
Step-by-step explanation:
3x - 4 = 8
3x = 8 + 4
3x = 12
x = 4
please help me i’m so lost Determine the lengths of AB and AC in the right triangle. You may give your answers in radical
form.
Answer:
see explanation
Step-by-step explanation:
Using the sine/ cosine ratios in the right triangle and the exact values
sin30° = [tex]\frac{1}{2}[/tex] , cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{6}{AB}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
AB = 12
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2 AC = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
AC = 6[tex]\sqrt{3}[/tex]
What is the slope of the line through (2, -1) and (-2, -3)?
[tex]\text{Given that,}\\\\\\(x_1,y_1) = (2,-1)~~\text{and}~~ (x_2,y_2) = (-2,-3)\\\\\\\text{Slope,}~ m =\dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-3+1}{-2-2} = \dfrac{-2}{-4} = \dfrac 12[/tex]
Answer:
Step-by-step explanation:
Using slope formula:
(y2-y1)/(x2-x1)
(-3 + 1) / (-2-2)
-2/-4
slope: 1/2
All you need is on the photo
Please don't answer randomly if you answer randomly you are gonna lose points
Answer:
no since the ratios of the corresponding sides are not proportional
Write an algebraic expression that corresponds to "the opposite of a number "
Answer:
-n
Step-by-step explanation:
If n represents "a number", then the opposite of the number is ...
-n
__
Examples:
The opposite of -3 is -(-3) = 3. The opposite of 10 is -10.
Is x=−10 a solution to the equation 28x+17=157?
Answer:
no
Step-by-step explanation:
28x+17=157 Subtract 17 on both sides.
-17 -17
28x=140
x=5
5 does not equal -10, so -10 is not a solution to the equation 28x+17=157.
Hope this helps!! Have a great day :)
Please help me with this math problem!! :)
Answer:
16.67%, 50%, 16.67%
Step-by-step explanation:
There are 6 different ways that the 4 kids can be paired up, so any one of the ways is rounded to 16.67%. So a and c are 16.67%
Not Zack is any pairing that doesn't have a Z. That is 3 out of 6, which is 50%.
four ninths minus four tenths equals blank ?
Answer:
2/45
Step-by-step explanation:
Write as a monomial in standard form
(3x*3y)\x*y
[tex] \frac{3x \times 3y}{x \times y} \\ = \frac{(3 \times 3)xy}{xy} \\ = \frac{9xy}{xy} \\cancel \: \: \: out \: \: \: xy \: \: \: from \: \: \: both \: \: \: sides \\ = 9[/tex]
Answer:
9
Hope you could get an idea from here.
Doubt clarification - use comment section.
In Substitution
3+2x-y=0
-3-7y=10X
Answer:
i think x = -1, y = 1
Step-by-step explanation:
3+2x-y=0
so 3+2x = y
-3-7y=10X
-3-7(3+2x) = 10x
-3-21-14x = 10x
-24-14x = 10x
-14x-10x = 24
-24x = 24
x = -1
3+2x = y
so 3+2(-1) = y
3+(-2) = y
1 = y
SO x = -1 and y = 1
The art club had an election to select a president. 100% of the 31 members of the club voted
in the election. How many members voted?
Answer:
31
Step-by-step explanation:
Is the figure a right triangle?
A yes, the relationship of the sides follows Pythagorean theorem
B no, the relationship of the sides DOSE NOT follow Pythagorean theorem
C no, the relationship of the sides follows Pythagorean theorem
D Yes, the relationship of the sides DOSE NOT follow Pythagorean theorem
Answer:
c will correct..
like
h² = p² + b²
14² = 74 + 122
196 = 196
Tim is 40 lbs less than his bother. If together they weigh 220, how much does Tim weigh?
Answer: Tim weighs 90 lbs and his brother weighs 130 lbs
Figure A is a scale image of figure B.
Pls help!!!
x = 5.25
since there is a scale factor of 1.75, you multiply 3 * 1.75 and get 5.25
hope this is helpful!
On a coordinate plane, triangle R S T has points (negative 5, 6), (3, 4), and (negative 2, 2). Which expression can be used to find the area of triangle RST? (8 â™ 4) - One-half (10 12 16) (8 â™ 4) - (10 12 16) (8 â™ 4) - One-half (5 6 8) (8 â™ 4) - (5 - 6 - 8).
The area of a triangle is the amount of space on the triangle
The expression that represents the area of the triangle is [tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]
The coordinates of the triangle are given as:
[tex]R = (-5,6)[/tex]
[tex]S = (3,4)[/tex]
[tex]T = (-2,2)[/tex]
The area (A) of a triangle from its coordinates or vertices are:
[tex]A = \frac 12|x_1(y_3 -y_2) +x_2(y_3 -y_1) + x_3(y_2 -y_1)|[/tex]
Substitute values for x's and y's
[tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]
Hence, the expression that represents the area of the triangle is [tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]
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Find 48.9% of 264.Round to the nearest hundredth
Step-by-step explanation:
Simply divide the percent by 100 and multiply by the number. For example, 48.9 /100 x 264 = 129.096 or 0.489 x 264 = 129.096
Rounded to nearest hundredth
= 129.10
Answer:129.10
Step-by-step explanation:
Simply, the equation for the percentage value of a number is:
x*(z%/100%)=y
where x is your initial value, z is your percentage value, and y is the resultant value
for this question, the equations gives us as follows
264*(48.9%/100%)=129.096=129.10
Glven the function f(x) = (x-2)2 + 13, what is the equation of the new
function if it is translated to the left 5 units and moved down 7 units.
Q. If the graph of the parent function f(x) = x is shifted 7 units down, which of the following equations would the new graphed line represent?
Convert 112 degrees Fahrenheit to degrees Celsius
Equation
C = (F - 32) ÷ 1.8
Solution
C = (112 - 32) ÷ 1.8
=44.4 (44.4444444444)
Answer may vary depending on how your teacher wants you to do it and whether they want a exact answer.
Welcome to Gboard clipboard, any text you copy will be saved here.
Answer:
yooo i got the new rank im now expert :0
Step-by-step explanation:
XD
amelia sells jewelry. she earns 12% commission on her sales , and a weekly salary of 550. how much did amelia earn this month if she sold 22,540 worth of jewelry?
Answer:
$27,444.80
Step-by-step explanation:
12% of 22,540 is 2,704.8
add the amount she made
add the weekly salary (550 × 4)
how much is 75 decreased by 8% ???
Answer:
69
Step-by-step explanation:
The number 75 decreased by 8% means that you are looking for 92% of 75. To find a percent of the number you can multiply a number by the percent in decimal form. So, to find 92% of 75, multiply 75*0.92. This gives you 69. Doing this is the same as finding 8% of 75 and then subtracting.
Can someone please help me with this
Step-by-step explanation:
when 2 lines cross, the angles on one side of one of these lines are mirrored to the other side.
and crossing a second, parallel line creates exactly the same angles there too, because crossing the second line is like crossing the first line. otherwise the 2 lines are not parallel. the second line is just a shifted version of the first line (and vice versa). all the other attributes are the same.
and all angles around a single point on one side of a line are together 180°.
because of all that,
angle 2 = angle 3 = angle 6 = angle 7 = 76°
angle 1 = angle 4 = angle 5 = angle 8 = 180-76 = 104°
If f(x) = 5^x + 2x and g(x)= 3x-6, find (f + g) (x)
Step-by-step explanation:
f(x) = 5^x + 2x and g(x)= 3x-6
(f + g) (x)
5^x + 2x + 3x-6
5^x + 5x -6
PLZZZZZZZZZ HELP 30 POINTS AND BRAINLIEST
Cotton farmers constantly battle with insects that want to eat their crops. Geneticists created transgenic cotton with leaves that repelled insects, such as caterpillars.
Which statement best describes an unintended negative consequence of creating the transgenic cotton?
The cotton plants grew at increased rates but produced fewer flowers.
The cotton produced more and larger flowers.
The cotton began dying very quickly.
The caterpillars instead ate the cotton flowers and damaged cotton production.
hi have a nice day,❤️
Occurrence of diversity in ecosystem sustains particular characteristic of a biological community and also ensures stability of the community. Transgenic crops may affect insect biodiversity by unintended impacts on non-target arthropod population. For example, transgenic GM cotton specific to target lepidopterous pests can change the cotton pest spectrum and may induce the growth of new harmful pest species having no pest status. The change in species composition may influence IPM approach in cotton crop. The results of authors’ research studies as well as global impact indicate that GM cotton is highly specific to target pests and has no unintended impact on non-target insect population. GM cotton provides significant season-long field control of target pests (Helicoverpa armigera, Earias spp. and Pectinophora gossypiella), with no significant control of Spodoptera species. The decreased insecticide use in GM cotton has a positive impact on beneficial insect populations and can increase the stability of rare species.
Answer:
The caterpillars instead ate the cotton flowers and damaged cotton production.
Explanation:
Bt cotton was developed for cold temperate countries like the US where pests are limited - chiefly the bollworm, against which the Bt toxin works and pest load in fields is not high.
But the problem is with the warmer climates like India, where bollworms flourish. Over time, because of the sheer amount of bollworms in warmer climates like India or Southern United States, these bollworms grown an immunity to the Bt toxin and we are back to square one.
~That's All Folks~
-Siascon
23% of a snack mix is almonds. How much snack mix would you need to get 230g of almonds?
Answer:
230/p = 23/100 You would need 1,000 g of snack mix.
Step-by-step explanation:
There are 1000 snack mix would be needed to get 230g of almonds.
Given that;
23% of a snack mix is almonds.
And, there are 230g of almonds.
Let us assume that;
The number of snacks = x
Hence, it can be written as,
23% of x = 230
23/100 × x = 230
23x = 23000
x = 23000/23
x = 1000
Therefore, The number of snacks = 1000 g
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