Answers
Answer: 161
[3×2^5+13×(−2)]+7[8−(4−9)]
Calculate 2 to the power of 5 and get 32.
3×32+13(−2)+7(8−(4−9))
Multiply 3 and 32 to get 96.
96+13(−2)+7(8−(4−9))
Multiply 13 and −2 to get −26.
96−26+7(8−(4−9))
Subtract 26 from 96 to get 70.
70+7(8−(4−9))
Subtract 9 from 4 to get −5.
70+7(8−(−5))
The opposite of −5 is 5.
70+7(8+5)
Add 8 and 5 to get 13.
70+7×13
Multiply 7 and 13 to get 91.
70+91
Add 70 and 91 to get 161.
161
Answer:
Step-by-step explanation:
Use PEDMAS
[3 *2⁵ + 13*(-2) ] + 7[8-(4-9) ] = [3*2⁵ + 13*(-2)] +7[ 8 - (-5) ]
{calulate the inner most parentesis (4- 9 = -5)}
= [3*32 + 13*(-2) ] + 7* [ 8+5]
{Find the exponent 2⁵ = 32}
= [ 96 + (-26) ] + 7* 13
{Here 3 & 32 aree multiplied & 13 and (-2) are multiplied and 8 is added to 5}
= 70 + 91
= 161
Related Questions
The Forever Chocolate Chocolate company specializes in 3 types of chocolates: dark chocolate, milk chocolate, and white chocolate. Of the three, 35% is dark and 0.4 is white. Milk chocolate makes up what fraction of the total amount of chocolate Forever Chocolate Chocolate makes?
Answers
Answer:
1/4
Step-by-step explanation:
someone said 1/4 when I searched this question up so it may be correct
Please help me this is do today
Answers
Answer:
Any number that can be written as a ratio (or fraction) of two integers
Step-by-step explanation:
Answer:
A rational number is a number that can be written as a fraction of two integers.
This makes the last option A number that can be written as a fraction correct
Which of the following are in correct order from greatest to least? startfraction pi over 2 endfraction, 330°, startfraction 5 pi over 3 endfraction, startfraction 7 pi over 6 endfraction, startfraction 2 pi over 3 endfraction startfraction 5 pi over 3 endfraction, startfraction 7 pi over 6 endfraction, startfraction 2 pi over 3 endfraction, startfraction pi over 2 endfraction , 330° startfraction pi over 2 endfraction, startfraction 2 pi over 3 endfraction, startfraction 7 pi over 6 endfraction, startfraction 5 pi over 3 endfraction, 330° 330°, startfraction 5 pi over 3 endfraction, startfraction 7 pi over 6 endfraction, startfraction 2 pi over 3 endfraction, startfraction pi over 2 endfraction
Answers
The angles are in correct order greatest to least is 330°, 5π/3, 7π/6, 2π/3, π/2.
What is a reference angle?A reference angle means the measure of the smallest, positive, acute angle that is formed by the terminal side of the angle. Therefore, positive reference angles possess terminal sides in the first quadrant.
Lets convert all the values into degrees
330° = 330°
π/2 = 180/2 = 90°
5π/3 = 300°
7π/6 = 210°
2π/3 = 120°
Arrange them from greatest to lowest.
330°, 300°, 210°, 120°, 90°
or
330°, 5π/3, 7π/6, 2π/3, π/2
Hence, the angles are in correct order greatest to least is 330°, 5π/3, 7π/6, 2π/3, π/2.
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Answer:
d
Step-by-step explanation:
thats what the guy above me said
HELP PLEASE HELP PLEASE HELP PLEASE
Answers
Answer:
no
Step-by-step explanation:
please awnser correctly
Answers
Answer:
x = 93
Step-by-step explanation:
angles in the f shape on 2 parallel lines are equal
Answer:
x = 93⁰
Step-by-step explanation:
This is an example of corresponding angles (corresponding angles are equal). If you search corresponding angles online there are indepth algebraic explanations as to why corresponding angles are equal. In order to be corresponding, they need to be on the same side of the transversal (the line cutting through the 2 parallel lines) and be on the same side of their "parent" line as the other.
Find BC. PLEASE HELP
Answers
1) 7.05 yards
2) 30 yards
[tex]\bold{EXPLANATIONS:}[/tex]
I NEED UR HELPFNGKFNKFJFF
Answers
For Q3, you can subsitute x = 2 and y = 5 into the systems
-5(2) + 5 = -5
so it's a solution for the first system
-4(2)+2(5) = 2
it's also a solution for the second system
Can u help me solve this plsssss???
Answers
Dilating the triangle ABC would create a triangle with a different side length from triangle ABC
How to dilate the figure?From the diagram, we have the coordinates to be:
A = (2,-5)
B = (2,4)
C = (-4,3)
The dilation rule is given as:
(x,y) => (1.5x, 1.5y)
So, we have:
A' = (3,-7.5)
B' = (3,6)
C' = (-6,4.5)
See attachment for the image of the dilation
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You have a new goal of saving at least $4,500 over the course of the next year. you already have $900 saved. by how much would you need to increase your monthly net savings in order to meet this goal? $100 $150 $200 $250
Answers
Answer:
200
Step-by-step explanation:
The amount you need to increase your monthly net savings by is C. $200.
Amount to save next year
= Goal - Current savings
= 4,500 - 900
= $3,600
Monthly savings amount
= 3,600 / 12
= $300 per month
Amount to increase savings by
You care already saving $100 so you need to increase by:
= 300 - 100
= $200
Answer:
200
Step-by-step explanation:
Edge 2022
Find the equation of the line that goes through the points (0, 4) and (10, 2).
y = -1/5 x + 2
y = -5x + 4
y = -1/5 x + 4
y = 1/5 x - 4
Answers
Answer:
[tex]y=-\frac{1}{5}x+4[/tex]
Step-by-step explanation:
Just substitute in the values[tex]4\neq 2[/tex] [1][tex]4=4[/tex] but [tex]2\neq -20+4[/tex] [2][tex]4=4[/tex] and [tex]2=-2+4[/tex]A seed company distributed 2,995,748,111 seeds last season. This season, the company distributed 1,598,485,845 seeds. What is the estimated amount of seeds distributed both seasons? Round to the nearest billion
Answers
Answer:
they sold 1,397,262,266 less seeds this season but made 1,397,262,266 last season
Step-by-step explanation:
2,995,748,111 - 1,598,485,845 = 1,397,262,266
Solve each inequality |x-5|>-3
Answers
Answer:
8
Step-by-step explanation:
Just move the modellus
x-5=3
x=5+3
x=8
A right rectangular prism has a length of 12 ft, width of 512 ft, and height of 1012 ft. What is the volume of the prism? Enter the answer in the box. ft³
Answers
Answer: 6217728
Step-by-step explanation: The formula for a Rectangular Prism is (Base/Length)(Width)(Height). (12)(512)(1012).
Create an equation that models the number of tiles in a given stage.
Answers
Which equation represents the graph below?
Answers
What is the solution to 1/4y > 8
Answers
Answer:
[tex]\huge\boxed{\sf y > 32}[/tex]
Step-by-step explanation:
Given inequality:
[tex]\displaystyle \frac{1}{4} y > 8\\\\Multiply \ 4 \ to \ both \ sides\\\\y > 8 \times 4\\\\\boxed{y > 32}\\\\\rule[225]{225}{2}[/tex]
An airplane is flying in the direction of 30 degrees south of west at 600 mph. a wind is blowing in the direction of 60 degrees north of east at 40 mph. are the component forms for the air and wind vectors. the ground speed, g, of the plane is given by .
Answers
The ground speed (G) is given as
.[tex]G=\sqrt{(600\dfrac{\sqrt{3}}{2}+20)^2+(300+40\dfrac{\sqrt{3}}{2}})^2}[/tex]
The correct potion is B.
What is a vector?The quantity which has magnitude, direction and follows the law of vector addition is called a vector.
An airplane is flying in the direction of 30 degrees South of West at 600 mph. A wind is blowing in the direction of 60 degrees North of East at 40 mph.
It means the airplane is flying in the opposite direction of the wind.
The component of an airplane will be
[tex]x=-600sin30\\\\x=\dfrac{-600}{2}=-300\\\\y=-600cos30\\\\y=\dfrac{-600 \sqrt{3}}{2}}[/tex]
The component of wind will be
[tex]x=40cos60\\\\x=\dfrac{40}{2}=20\\\\y=40sin45\\\\y=\dfrac{40\sqrt{3}}{2}}[/tex]
Then the ground speed will be
.[tex]G=\sqrt{(600\dfrac{\sqrt{3}}{2}+20)^2+(300+40\dfrac{\sqrt{3}}{2}})^2}[/tex]
Then the correct potion is B.
More about the vector link is given below.
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Answer:
C and B
Step-by-step explanation:
C and B
At a baseball game, a vender sold a combined total of 114 sodas and hot dogs. The number of hot dogs sold was 30 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
Answers
Answer:
Sodas: 72
Hotdogs: 42
Step-by-step explanation: First you take 114 and subtract 30 from it since there are 30 more sodas. You then would take the remaining 84, and divide it between the two giving you 42 hotdogs and 42 sodas. Now remember the 30 we had? Youre gonna add that to the 42, giving you 72 sodas and 42 hotdogs.
Translate the following English phrase into an algebraic expression: three more than twice some number
Answers
Answer:
2x+3
or
2N + 3
Hii please can y’all help… I’m pretty sure I know this I’m just really not bothered :]
A plane ticket to Barcelona costs £175
The price decrease by 6%
Work out the new price of the plane ticket
<3
Answers
Answer: New cost of Barcelona ticket is £164.5
Given that:
the money of is Barcelona ticket = £175
Decrease rate = 6%
Find:
New cost of Barcelona ticket
Computation:
New cost of Barcelona ticket = Cost of Barcelona ticket - [Cost of Barcelona ticket][Decrease rate]
New cost of Barcelona ticket = 175 - [175][6%]
New cost of Barcelona ticket = 175 - 10.5
New cost of Barcelona ticket = £164.5
9th grade math please help thanks <3
Answers
Step-by-step explanation:
8) 52
9) (135/2) or 67.5
10)(32/5) or 6.4
1
possible
Find the interest on the following loan.
$5315 at 5%; loan made on August 10 and due December 23
Answers
The interest amount (simple interest ) on the loan amount $5315 at 5% from 10th aug to 23rd dec. of same year is $105.50
How to calculate simple interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:
[tex]I = \dfrac{P \times R \times T}{100}[/tex]
For this case, we're specified that:
Principal amount = $5315Rate of interest = R% = 5% (assumingly annually, and simple interest).Time for which interest was applied: 10th aug to 23rd dec.( of same year assumingly)Converting this time in terms of year, we get:
Aug has 31 days, Sept has 30 days, Oct. has 31 days, Nov has 30 days.
From 10th aug, till its last, there went 22 days.
Whole sept and oct and nov. was spent (30+31+30 = 91 days)
And then there were 22 days of december(23rd day not covered assumingly)
So, total days = 22+22+91 = 145 days.
Assuming averagely 365.25 days in an year, we get the average time for which the interest will be calculated as:
[tex]\dfrac{145}{365.25} \approx 0.397 \: \rm years[/tex]
Thus, we get: the amount of interest as:
[tex]I = \dfrac{P \times R \times T}{100}\\\\I \approx \dfrac{5315 \times 5\times 0.397}{100} \approx 105.50 \: \rm dollars[/tex]
Thus, the interest amount (simple interest ) on the loan amount $5315 at 5% from 10th aug to 23rd dec. of same year is $105.50
Learn more about simple interest here:
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What is the value of (2/3)^-4 ?
Answers
Answer: 81/16
Step-by-step explanation:
When you have a negative exponent, it is equivelant to taking the reciprocal of the exponential and making the exponent positive:
[tex](2/3)^-^4=\frac{1}{(2/3)^4}[/tex]
Distribute the exponent to the base. We are able to do this because the base is composed of a single term. If it were composed of addition and subtraction, you cannot distribute the exponent:
[tex]\frac{1}{(2/3)^4}=\frac{1}{(2^4/3^4)}=\frac{1}{(16/81)}[/tex]
Dividng by a fraction is equivalent to multiplying by the reciprocal:
[tex]\frac{1}{(16/81)}=1\frac{81}{(16)}=\frac{81}{16}[/tex]
The coordinates of the point P:(2,2), Q:(6,2), R:(6,5), S:(2,5) represent the vertices of a rectangle. What is the perimeter, in units of rectangle PQRS?
Answers
Answer:
Hope the picture will help you....
Answer:
C. 14 units
Step-by-step explanation:
Perimeter is the distance around the outside of the shape. Add up all the sides. See image.
Two spheres have volumes of 8π cm3 and 64π cm3. if the surface area of the smaller sphere is 16π cm2, what is the surface area of the larger sphere? 64π cm2 96π cm2 128π cm2 256π cm2
Answers
The surface area of the larger sphere with a volume of 64π cm³ comes to be 16π∛36 cm³.
The volume of the larger sphere = 64π cm³
Suppose the radius of the larger sphere is r
So, 4/3*π*r³ =64π
r³=48
r=2∛6
What is the surface area of a sphere?The surface area of a sphere is 4πr² where r is the radius.
So, the surface area of the larger sphere = 4π(2∛6)²
The surface area of the larger sphere = 16π∛36
Hence, The surface area of the larger sphere with a volume of 64π cm³ is 16π∛36 cm³.
To get more about spheres visit:
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2/5 * -3/7 - 1/14 - 3/7 * 3/5 + 1/2
Explan it pls ty (best gets brainliest)
Answers
Answer:
the answer is (-5/35) or (-1/7)
Step-by-step explanation:
yea i think that explains it pretty nicely
what values make 4s+3=9 true
Answers
Answer:
Solve for 's' using inverse operations;
4s + 3 = 9
Get rid of constants first.
By doing this, we subtract 3 from both sides because the inverse operation of addition is subtraction.
-3 -3
4s = 6
Isolate 's' by dividing 4 from both sides because the inverse operation of multiplication is division.
÷ 4 ÷ 4
s = 6/4 which equals 1.5 therefore the value of 's' to make this equation true is 1.5.
Factor –7x3 21x2 3x – 9 by grouping. what is the resulting expression? (3 – 7x)(x2 – 3) (7x – 3)(3 x2) (3 – 7x2)(x – 3) (7x2 – 3)(3 x)
Answers
The factors of the expression are [tex]\rm(3 - 7x^2)(x - 3)[/tex]
How to find factors in the expression?First group the first two terms and the last two terms together respectively.
The factors of the expression are given by;
[tex]\rm= -7x^3 + 21x^2 + 3x - 9\\\\=-7x^2(x - 3) + 3(x - 3)\\\\=(3 - 7x^2)(x - 3)[/tex]
Hence, the factors of the expression are [tex]\rm \rm(3 - 7x^2)(x - 3)[/tex].
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What is the probability of a rainbow is it unlikely,likely,equally likely, or certain pls help i would appreciate it
Answers
Answer:
equally likely
Step-by-step explanation:
Rainbows usually appear after it rains, but not always, there usually has to be certain specific conditions for it to happen.
Hope this helps! Have a good day! :)
Which polynomials are prime? check all that apply. 15x2 10x – 9x 7 20x2 – 12x 30x – 18 6x3 14x2 – 12x – 28 8x3 20x2 3x 12 11x4 4x2 – 6x2 – 16
Answers
The options that are prime polynomials are,
15x^2 +10x -9x+7, 8x^3+20x^2+3x+12 and 11x^4+4x^2-6x^2-16
What is the prime polynomial?A polynomial with integer coefficients that cannot be factored into polynomials of lower degree, also with integer coefficients, is called an irreducible or prime polynomial.
To determine all options in order to check that the polynomials are prime or not:
1). 15x^2 +10x -9x+7
5x(3x + 2) - (9x - 7)
Therefore, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.
2). 20x^2-12x+30x-18
4x(5x - 3)+6(5x-3)
(4x + 6)(5x - 3)
Therefore, this polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.
3). 6x^3+14x^2-12x-28
2x^2(3x+7)-4(3x+7)
(2x^2-4)(3x+7)
Therefore, this polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.
4). 8x^3+20x^2+3x+12
4x^2(2x+5)+(3x+20)
Therefore, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.
5). 11x^4+4x^2-6x^2-16
x^2(11x^2+4)-2(3x^2+8)
So, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.
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