Answer:
2x^2 + 7x + 3 is the area of the rectangular piece of wood.
Step-by-step explanation:
Here,
Length ( l ) = x + 3
Breadth ( b ) = 2x + 1
Formula : -
Ar ( rectangle ) = lb
lb
= ( x + 3 ) ( 2x + 1 )
= x ( 2x + 1 ) + 3 ( 2x + 1 )
= 2x^2 + x + 6x + 3
= 2x^2 + 7x + 3
What is the proper order of organization from simplest to most complex.
A. rib bone, epithelial cell, heart, adipose tissue
B. cardiac muscle tissue, muscle cell, heart, muscular system
C. lung cell, alveoli, lung, respiratory system
D. neuron, nervous tissue, nervous system, brain
HELP ME ASAP
Answer:
A. 2,4,1,3
B. 2,1,3,4
C. 2,1,3,4
D. 1,2,4,3
Step-by-step explanation:
its always cell the simplest among the choices then tissue which is comprised of cells then organs which comprised of tissues and lastly the systems in our body that is comprised of organs
Joseph and Ryan have 84 cards to sign. Joseph sins 1/4 of the cards. While Ryan signs 3/7. How many cards are left to be signed?
SIDE NOTE: PLEASE BE FAST!!
Answer:
27 cards left to be signed
Answer:
27 cards
Step-by-step explanation:
first we need to find what 1/4 of 84 is which will be 21 then we need to find what 3/7 of 84 is which will be 36 now we add the two getting 57 and then subtract 57 from 84 leaving us with 27 cards left. hope this helps.
of the students in the lunch room 40% are girls there are 20 girls in the the lunch room how many students are in the lunch room
Answer:
50 students
Step-by-step explanation:
20 is 40% of 50
because 50 x .40 = 20
Hope this helps!
Answer:
30
Step-by-step explanation:
40%/2=20%
20/2=10
100%-40%=60%
60%/3=20%
10x3=30
Identify the volume of a regular triangular pyramid with base edge length 14 ft and height 9 ft.
Answer:
The volume is 588 ft³
Step-by-step explanation:
[tex]v = a {}^{2} \frac{h}{3} = 14 {}^{2} \times \frac{9}{3} = 588[/tex]
Answer:
254.6 ft3 F
Step-by-step explanation:
To find the volume of the pyramid, first calculate the area of the base.
As the pyramid is the regular triangular pyramid, the base is an equilateral triangle.
To find the area of the equilateral triangle, calculate the length of the height.
Since the triangle is equilateral, each angle in the triangle equals 60°.
The height forms a 30°- 60°- 90° triangle. One leg of this triangle is equal to half of the side of the large triangle, or 7 ft. The other leg of the triangle is equal to 73‾√ ft by the 30°- 60°- 90° Triangle Theorem.
Therefore, the length of the height of the triangle is 73‾√ ft.
To find the area of the base of the pyramid, B, use the formula for the area of a triangle, B=12bh.
Substitute 14 for b and 73‾√ for h.
B=12⋅14⋅73‾√
Simplify.
B=493‾√ ft2
To find the volume of the pyramid, use the formula for the volume of a pyramid, V=13Bh.
Substitute 493‾√ for B and 9 for h.
V=13⋅493‾√⋅9
Simplify.
V=1473‾√
Use a calculator to approximate.
V≈254.6 ft3
Therefore, the volume of the regular triangular pyramid is about 254.6 ft3.
Sun works in a bakery and wants to know how many ounces of flour are in 5 flour sacks. If each sack contains 52 lbs of flour, how much is the total weight of the flour in ounces 1lb = 16 oz
WHATS THE LENGTH ROUND TO THE NEAREST 10th if NEEDED
Answer: 8.6
Step-by-step explanation:
Using pythagorean theorem, c²=a²+b² you can find the distance between AB.
c²=7²+5²
c²=74
√c²=√74
c=8.6
there are 12 eggs of the same weight on the scale. the total weght is 620g determine the total weight if the number of eggs is increased to 20
Answer:
1033.2 g or 1.033 kg
Step-by-step explanation:
(620/12)(20) = 1033.2 g
Which of the following represents 104Σ6?
n=1
O (1 x 6) + (104 x 6) = 630
O (1x6) (104 x 6) = 3,744
O 6(104) = 624
O 6(104 - 1) = 618
Answer:
C. 6(104)=624
Step-by-step explanation:
edge quiz
The equivalent expression of [tex]\sum \limits^{104}_{n = 1} {6}[/tex] is 6(104) = 24
How to evaluate the sigma notation?The sigma notation is given as:
[tex]\sum \limits^{104}_{n = 1} {6}[/tex]
The above means that we add 6 in 104 places.
i.e. 6₁ + 6₂ + ................ + 6₁₀₄
The expression can be expressed using the following product
[tex]\sum \limits^{104}_{n = 1} {6} = 6 * 104[/tex]
Evaluate the product
[tex]\sum \limits^{104}_{n = 1} {6} = 624[/tex]
Hence, the equivalent expression of [tex]\sum \limits^{104}_{n = 1} {6}[/tex] is 6(104) = 24
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Can you figure out the missing number
Answer:
probably 6 thats one of the missing ones
Andreas school has 20 clubs, which is 5 times as many as his cousins school. His cousins school has x clubs??
Answer:
4
Step-by-step explanation:
20 ÷ 5 = 4
use a long method division to calculate 145 413 by 321
Answer:
i dont know because you have not really explained it
Step-by-step explanation:
The quotient of the division of 145413 by 321 is 453.
What is Division?Division is one of the operation in mathematics where number is divideD into equal parts as that of a definite number.
We are using long division method here.
For that dividend is 145413 and divisor is 321.
First take the first some digits of dividend which is greater than 321.
That is the first four digits, 1454.
The multiple of 321 closest to 1454 is 1284 which is equal to 4 × 321
So the first digit of quotient is 4.
1454 - 1284 = 170
Now 170 is less than 321.
Add the next digit of the dividend to 170.
It becomes 1701.
Multiple of 321 closest to 1701 is 1605 which is equal to 5 × 321.
The next digit of the quotient is 5.
1701 - 1605 = 96
Again since 96 less than 321, take the next digit of the dividend and the number becomes 963.
Now 963 is a multiple of 321, where 963 = 3 × 321
So the next digit of the quotient is 3.
Quotient = 453
Hence the quotient of the given division is 453.
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Eight beads are strung in a necklace with a clasp, how many ways
can the beads be arranged?
Answer:
Number of total arrangement of beads = 2,520
Step-by-step explanation:
Given:
Number of beads in necklace = 8 beads
Find:
Number of total arrangement of beads
Computation:
Changing beads is a cyclic permutation,
So,
Formula to find number of total arrangement in cyclic permutation
(n-1)!/2 , where n = number of item
So,
(n-1)!/2
Number of total arrangement of beads = (8-1)!/2
Number of total arrangement of beads = (7)!/2
Number of total arrangement of beads = (7 x 6 x 5 x 4 x 3 x 2 x 1) / 2
Number of total arrangement of beads = 5,040 / 2
Number of total arrangement of beads = 2,520
what is 4x5 gc ft kg gn hi dj cm cjj kg you too te you tu
graph the quadratic and step by step please y=x^2+1
A Store was trying to sell a bed set for $475. After a while, they marked the price tag down 35%. If tax is 5% (of the sale price), how much would the bed cost?
Find the least common denominator between the two fractions. 1/4 and 5/3
Answer:
i think that the correct answer is 12 for the least common denominator
what is 1/3 +4 x 3
If you answer correctly i will give 100 points and Brainiest :)
I= $169.67,P= $2000,t= 8 months
If ur trying to find the rate its 12.7252%
Step-by-step explanation:
What is the equation needed to solve for X?
Answer:
[tex]x - 8 + 4x - 7 = 180 \\ \\ 5x - 15 = 180 \\ \\ 5x = 180 + 15 \\ \\ 5x = 195 \\ \\ x = 195 \div 5 \\ \\ x = 39 \\ [/tex]
In developing a new gasoline additive, researchers randomly select 10 cars and drive them both with and without the additive. The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16. Assume the differences are from an approximately normal distribution. We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive. Calculate the test statistic.
Answer:
The test statistic is t = 3.24.
Step-by-step explanation:
We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive.
This means that the null hypothesis is that the difference is less than 0, while the alternate hypothesis is that the difference is 0 or more.
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]s[/tex] is the standard deviation of the sample and n is the size of the sample.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
Randomly select 10 cars
This means that [tex]n = 10[/tex]
The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16.
This means that [tex]X = 0.41, s = \sqrt{0.16} = 0.4[/tex]
Calculate the test statistic.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{0.41 - 0}{\frac{0.4}{\sqrt{10}}}[/tex]
[tex]t = 3.24[/tex]
The test statistic is t = 3.24.
Factor the quadratic expression completely.
-7x^2-24x-9
Answer:
(7x+3)(-x-3)
Step-by-step explanation:
-7x²-24x-9 would be the same thing as (7x+3)(-x-3) because 7x*-x=-7x², +3*-3=-9, and 7x*-3 - 3x = -24x
Tom received $250 in tips, working as a waiter for 5 days. How much could he have gotten in tips each of the 5 days he worked?
Answer:
$50.
Step-by-step explanation:
To find your answer, divide 250 by 5.
250/5 = 50.
You can use inverse operation to check your answer.
50⋅5 = 250.
Therefore, Tom got $50 each day.
A corner store sells two kinds of baked goods: cakes and pies. A cake costs $7 and a pie costs $6. In one day, the store sold 10 baked goods for a total of $66. What system would work for the situation?
9514 1404 393
Answer:
c + p = 107c + 6p = 66Step-by-step explanation:
Assuming you're interested in the number of each that were sold, the system of equations will express the relation for total sold, and the relation for total revenue. We have used the variable c and p to represent numbers of cakes and pies sold, respectively. Your choices may use x and y, instead.
c + p = 107c + 6p = 66__
The solution can be found by subtracting 6 times the first equation from the second. That tells you 6 cakes were sold, hence 4 pies.
It takes Andre 4 minutes to swim five laps, if Andre swims 22 laps, at the same rate as she swam 5 laps, how long does it take him?
Answer:
17.6
Step-by-step explanation:
But im not sure if u can use decimals
What is the quotient of 1476 and 12
IM GIVING 20 POINTS PLEASE HELP AAA
Sarah wants to find out how many apps she can download on her phone. She know that 5 apps cost $20. Create 3 ratio tables using: addition, multiplication and rate reasoning to show how many apps Sarah could download. Include 3-5 entries per table. Be prepared to explain how you arrived at your ratios.
Answer:
the ration of 3:5. 5 x 4 gives you 20 so, 3x4 gives you 12.
Questions and answers attached
Answer:
(3)(c) + 43 ≥ 100
Step-by-step explanation:
Given:
Total number of friends = 3 friends
Number of card already have = 43
Total number of card at least want to collect = 100
Find:
Inequality
Computation:
Assume;
Same number of card each friend collect = c
Total number of card at least want to collect ≤ (Total number of friends)(Same number of card each friend collect) + Number of card already have
Total number of card at least want to collect ≤ (3)(c) + 43
100 ≤ (3)(c) + 43
(3)(c) + 43 ≥ 100
If f(x)=9ex, find f(5) rounded to the nearest tenth.
Answer:
1335.7
Step-by-step explanation:
f(5)= 9e^x
Substitute x for 5 and solve
The value of the equation f ( x ) = 9eˣ , when x = 5 is 1335.7
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be f ( x ) = 9eˣ
The equation is an exponential form , and the value of x is substituted in the equation
When the value of x is 5
The value of e = 2.7182
x = 5
So , substituting the value of x in f ( x ) , we get
f ( x ) = 9eˣ
f ( 5 ) = 9 x e⁵
Now , e⁵ = 148.4131
And ,
The equation f ( 5 ) = 9 x 148.4131
= 1335.718
≈ 1335.7
Hence , the value of the equation f ( x ) = 9eˣ , when x = 5 is 1335.7
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Which of the following events has a probability of 75% or higher?
a. choosing a consonant from the word leopards
b. landing on heads when flipping a coin
c. rolling a number greater than 1 on a die
d. choosing a consonant from the word horse
Answer:
D
Step-by-step explanation:
Plz show work, NEED HELP FAST PLZ
Answer:
5. 4 6. 6
Step-by-step explanation:
Number 5
[tex]10-2\sqrt{9}[/tex]
[tex]2\sqrt{9}=6[/tex]
[tex]=10-6[/tex]
Subtract the numbers: 10 - 6 = 4
[tex]=4[/tex]
Number 6
[tex]70-\left(\sqrt[3]{64}\right)^3[/tex]
[tex]\left(\sqrt[3]{64}\right)^3=64[/tex]
[tex]=70-64[/tex]
Subtract the numbers: 70 - 64 = 6
[tex]=6[/tex]