Answer:
2(15 *4)=120
2(5*4)=40
2(15*5)=150
Total = 310mm^2
Second picture:
7k+14
36d+144
Answer:
surface area = 2(5 × 4) + 2(15 × 4) + 2(15 × 5) = 310 mm²
7(k + 2)
= 7×k + 7×2
= 7k + 14
12(3d + 12)
= 12×3d + 12×12
= 36d + 144
surface area rectangular prism = 2(4 × 5) + 2(15 × 4) + 2(15 × 5) = 310 cm²
5x + 7x - 2
= 12x - 2
4 + 3g - g + 2g
= 4g + 4
2 + 4g + 7g + 5
= 11g + 7
How would you answer Q5 e step by step please
Answer:
[tex]\sqrt{6} -3\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{150} -\sqrt{96} -\sqrt{162} +\sqrt{72}[/tex]
[tex]=\sqrt{25\cdot6} -\sqrt{16\cdot6} -\sqrt{81\cdot2} +\sqrt{36\cdot2}[/tex]
[tex]=\sqrt{25}\sqrt{6} -\sqrt{16}\sqrt{6} -\sqrt{81}\sqrt{2} +\sqrt{36}\sqrt{2}[/tex]
[tex]=5\sqrt{6} -4\sqrt{6} -9\sqrt{2} +6\sqrt{2}[/tex]
[tex]=\sqrt{6} -3\sqrt{2}[/tex]
Answer:
See below.
Step-by-step explanation:
a) √2 + √50 + √98
= √2 + 5√2 + 7√2
= 13√2
c) 5√7 + 2√5 - 3√28
= 5√7 + 2√5 - 6√7
= 2√5 - √7
e) √150 - √96 - √162 + √72
= 5√6 - 4√6 - 9√2 + 6√2
= √6 - 3√2
g) 7√3 - 2√8 + √12 + 3√8
= 7√3 - 4√2 + 2√3 + 6√2
= 9√3 + 2√2
i) 3√49 + 2√288 - √144 - 2√18
= 21 + 24√2 - 12 - 6√2
= 9 + 18√2
= 9(1+ √2)
Use the graph of the line shown to determine its slope.
The slope of line AB is
.
Answer:
wheres the graph.
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
On edg
Three times the sum of twice n and 6 is the same as the product of n less 2 and four. Find n
Answer:
61
Step-by-step explanation:
HELP ASAP PLEASE……
you ride your bike at an average of 12 miles per hour on the way to school, and at an average of 15 miles per hour on the way home. The total ride time is 22 minutes. How far away is school? Round your answer to the nearest hundredth of a mile
Answer: 2.44 miles.
Step-by-step explanation:Answer:
2.44 miles
Step-by-step explanation:
Give the following :
Average miles to school = 12 miles per hour
Average Miles from school = 15 miles per hour
Total ride time : ( time to school + time from school) = 22 minutes = (22/60) = 0.3667
Recall:
Speed = distance / Time
Time = distance / speed
Let distance = d
For the scenario described :
d/12 + d/15 = 0.3667
(5d + 4d) / 60 = 0.3667
5d + 4d = 22
9d = 22
d = 22/9
d = 2.44 miles
Which of the following is the equation of a line in slope-intercept form for a
line with slope = 1/4 and y-intercept at (0, -1)?
O A. y = 1/4 x -1/4
O B. y= 4x - 1
O C. y= 1/4x+1
O D. y = 1/4x-1
Answer:D
Step-by-step explanation: answer D. 1/4x-1
slope = 1/4 so the coefficent (number attatched to x) is going to be 1/4
y=-1 when x=0
A. =-1/4
B= -1 but the coefficent is not 1/4
C=1
D=-1
D is the correct answer
Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
3.9
Step-by-step explanation:
The right triangle is marked with the sides adjacent and opposite the angle. That suggests the relevant trig relation is ...
Tan = Opposite/Adjacent
tan(52°) = 5/x
x = 5/tan(52°) ≈ 3.9
i need help i know i said this already but i need it 17.18 + 44.36
Answer:
61.54
Step-by-step explanation:
The decimal is .36 + .18 which is .54 and 17 + 44 is 61 so 61 + .54 is 61.54
the measure of angle sqr is 65 the measure of angle pqs is x what is the vaule of x
Answer:
40
Step-by-step explanation:
The value of a right angle is 90° and <SQR is a fraction of <PQR.
Hence, <PQS, which is the other fraction of <PQR, equals 90-50 and 90-50 is 40.
Or we can do it like this;
⇒ 180-90-50
⇒ 90 - 50
⇒ 40
Thus, Answer is 40.
[RevyBreeze]
Please help solve this SAT math problem
Answer:
3x^2-12x-63, 7x^2-28x-147
Step-by-step explanation:
I think this problem has two answers.
3(x+3)(x-7), 7(x+3)(x-7)
Katherine recently had a swimming pool installed in her back yard. Using her water hose, she can put 90 gallons of water into the pool every hour. If the pool can hold 13,500 gallons, how long will it take to fill the pool?
A.
50 hours
B.
180 hours
C.
100 hours
D.
150 hours
Answer: D. 150 hours
Step-by-step explanation:
90 gallons = 1 hour
13,500 gallons = x hours
13,500 / 900 = 150
x = 150 hours
A bakery sells chocolate cupcakes and mocha cupcakes. One day it sold 368 chocolate and 32 mocha. What percent of the cupcakes sold that day were chocolate?
Answer:
92%
Step-by-step explanation:
368+32=40
368*100=36800 36800/400=92
Natalie likes to mail lots of postcards when she goes on holiday. In 2014 the cost of a single postcard stamp was 0.34
1. Today Natalie buys 10 postcard stamps so what is the total cost of the stamps
2. Natalie and her freinds decide to buy 100 postcard stamps what will be the total cost of the stamps now?
Answer:
1: $3.40 2: $34.00
Step-by-step explanation:
you take 0.34 and multiply it by how many stamps you have. So in this case you have 10 stamps for #1 so you move the decimal over to the right once (since one step is a tenth) and you have $3.40 and for 100 stamps you restart with 0.34 and move the decimal over to the right twice since that would be one-hundredths, and you would get 34. or when you add the units $34.00
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is placed. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Given a regular square pyramid with RS = 6 and PX = 4, find the following measure.
QS =
Answer:
The volume of a prism is given by ...
V = Bh
Step-by-step explanation:
Here, the base is an equilateral triangle with side length 3 in. The area of such a triangle is given by
A = (√3)4*s²
where s is the side length.
Your triangular prism has a base area of ...
B = (√3)/4*(3 in)² = (9/4)√3 in²
so the volume is
V = ((9/4)√3 in²)(6 in)
V = (27/2)√3 in³
V ≈ 23.383 in³
:)
∠C and ∠D are complementary.
Let m∠C=(5x)° and m∠D=(7x−6)°.
What is the value of x?
Enter your answer in the box.
x =
Complementary angles have sum 90°
[tex]\\ \rm\Rrightarrow 5x+7x-6=90[/tex]
[tex]\\ \rm\Rrightarrow 12x-6=90[/tex]
[tex]\\ \rm\Rrightarrow 12x=96[/tex]
[tex]\\ \rm\Rrightarrow x=8[/tex]
Answer:
x = 8
Step-by-step explanation:
Complementary angles are two angles with measures that sum to 90°
Given:
m∠C = (5x)° m∠D = (7x − 6)°⇒ m∠C + m∠D = 90°
⇒ 5x + 7x - 6 = 90
⇒ 12x - 6 = 90
⇒ 12x = 96
⇒ x = 8
I need helpp plss and thanks
Answer:
1.63
Step-by-step explanation:
-31 + 7 = -24
[tex]\sqrt{-24}[/tex] = 4.9
4.9/3 = 1.63 (rounded down from 1.6333333)
Answer:
[tex]x = 2 \sqrt{2} i \: or \: x = - 2 \sqrt{2} i[/tex]
Step-by-step explanation:
• Add 7 to both sides.
[tex]3x {}^{2} - 7 + 7 = - 31 + 7[/tex]
• Simplify
[tex]3x {}^{2} = - 24[/tex]
• Divide both sides by 3
[tex] \frac{3x {}^{2} }{3} = \frac{ - 24}{3} [/tex]
• Simplify
[tex]x {}^{2} = - 8[/tex]
• Find the solution
[tex]x = \sqrt{ - 8} \: and \: x = - \sqrt{ - 8} [/tex]
• Simplify
[tex] \sqrt{ - 8} = 2 \sqrt{2i} [/tex]
[tex] - \sqrt{ - 8} = - 2 \sqrt{2i} [/tex]
ANSWER:
[tex]x = 2 \sqrt{2} i \: and \: x = - 2 \sqrt{2} i[/tex]
Hey, If your reading this I really need help i’m confused about this topic in math, and if someone could please answer it I would be so grateful.
Answer: its A
Step-by-step explanation:
You want to buy a trampoline. You found one online that has a circumference of 6.28 yards. What is the area?
Please show work thank you so much!!! 30 points
Work Shown:
C = 2*pi*r
6.28 = 2*3.14*r
6.28 = 6.28r
6.28r = 6.28
r = (6.28)/(6.28)
r = 1
The radius of the circle is 1 yard.
A = pi*r^2
A = 3.14*1^2
A = 3.14
The area is roughly 3.14 square yards.
The area of the trampoline is mathematically given as
a = 3.14
What is the area?Question Parameters:
You found one online that has a circumference of 6.28 yards
Generally, the equation for the Circumference is mathematically given as
C = 2*pi*r
Thererfore
6.28 = 2*3.14*r
r = (6.28)/(6.28)
r = 1
In conclusion, where radius is
[tex]a= pi*r^2[/tex]
a = 3.14*1^2
a = 3.14
Read more about Arithmetic
https://brainly.com/question/22568180
Evaluate - x - y - z when x = - 8, y = 6 and z = -4.
Answer:
6
Step-by-step explanation:
Plug in the values of x, y, and z: -(-8) - 6 -(-4)Simplify: 8 - 6 + 48 - 6 + 4 = 6I hope this helps!
A random sample of 200 shoppers at a local grocery store found that 135 of the 200 sampled
would be willing to use self-checkout kiosks if the store installed them (ộ = 0.675).
Assuming you believe the initial results to be reasonable, how many samples would be required if
you wanted to re-do the sample, construct a 95% confidence interval, and reduce the margin of
error to 3%?
Round your answer to the nearest whole number. Remember: with sample sizes we always round
up!
Using the z-distribution, as we are working with a proportion, it is found that samples of 937 should be taken.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem, we have that:
The estimate is of [tex]\pi = 0.675[/tex].The margin of error is of M = 0.03.95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].Then, we solve for n to find the minimum sample size.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.675(0.325)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.675(0.325)}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.675(0.325)}}{0.03}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.675(0.325)}}{0.03}\right)^2[/tex]
[tex]n = 936.4[/tex]
Rounding up, it is found that samples of 937 should be taken.
More can be learned about the z-distribution at https://brainly.com/question/25890103
The value of p² when p= -5 is 25 , please I need help for this question
Answer:
True
Step-by-step explanation:
Because -5 x -5 = -25
at the movies, la quinta paid for drinks and popcorn for herself and her two children. she spend twice as much on popcorn as on drinks. if her total bill came to $17.94, how much did she spend on drinks and how much did she spend on popcorn?
Answer:
Step-by-step explanation:
let the amount spent on popcorn be x and amount spent on drinks be y
If the total bill paid is $17.94, then x+y = $17.94
If she spend twice as much on popcorn as on drinks, then y = 2x
Substitute y = 2x into the original equation
x+y = $17.94
x + 2x = $17.94
3x = $17.94
x = $17.94/3
x = $5.98
Since y = 2x
y = 2($5.98)
y = $11.96
Therefore she spent $5.98 on popcorn and $11.96 on drinks
Well guys I hope you guys know the answer for this question. Help please ASAP. Thank you
Answer: D) The linear model shows a strong fit to the data
The actual strength of the relationship is unknown unless we have the actual values of each data point (so we can compute the correlation coefficient r), but the residuals are randomly scattered about both above and below the horizontal axis. This means we have a fairly good linear fit. If all of the points were above the line, or all below the line, or all residuals fit a certain pattern (eg: parabola), then it wouldn't be a good linear fit.
A function is defined by y = 2x + 1. What is the range of the function if the domain is {0, 2, 3}?
{0, 4, 6}
{0, 4, 6}
{1, 5, 7}
{1, 5, 7}
{0, 2, 3}
{0, 2, 3}
{2, 4, 5}
{2, 4, 5}
9514 1404 393
Answer:
{1, 5, 7}
Step-by-step explanation:
For x=0, y = 2·0 +1 = 1
For x=2, y = 2·2 +1 = 5
For x=3, y = 2·3 +1 = 7
The range is the list of y-values, so is {1, 5, 7}.
The question is attached
[tex]cos(A - B) = cos A cos B + sin A sin B[/tex]
In this case, A is [tex]\frac{\pi }{3}[/tex] and B is [tex]\frac{\pi }{5}[/tex], so:
[tex]cos\frac{\pi}{3} cos\frac{\pi}{5} +sin\frac{\pi }{3} sin\frac{\pi }{5} =cos(\frac{\pi}{3} -\frac{\pi}{5} ) = cos\frac{2\pi}{15}[/tex]
Hope that helps!
5. Noah was assigned to make 64 cookies for the bake sale. He made 125% of that
number. 90% of the cookies he made were sold. How many of Noah's cookies were left
after the bake sale?
Answer:
8 cookies
Step-by-step explanation:
64*1.25 = 80 to find how much cookies noah made
if 90%(0.9) were sold, we will find 80(0.1) to find whats left, which is 8
What is 3/7 of $56
I am not sure
Answer:
$24
Step-by-step explanation:
1. MULTIPLY: 3 x 56 = 168
2. DIVIDE: 168 / 7 = $24
I hope this helps!
Based on multiplication we have found that 3/7 of $56 is equal to $24.
We are given that the expression 3/7 of $56
To determine 3/7 of $56, we can multiply 3/7 by $56.
Multiply 3/7 by $56:
(3/7) x $56 = (3 x $56) / 7
Calculate the numerator:
3 x $56 = $168
Divide the numerator by the denominator:
$168 / 7 = $24
Therefore, 3/7 of $56 is equal to $24.
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ6
NEED HELP ASAP!!!
due by 3
Answer:
185
Step-by-step explanation:
Total area is 27 x 10= 270
unshaded are is 17x5= 85
270 - 85 = 185 (total shade area)
the dogeball team has 10 boys and 20 girls. what percent of the team are boys
Answer:
33.3 % of the dodgeball team consist of boys.
Step-by-step explanation:
Hope that helps!
Mr. Stevenson owns a bookstore. At the beginning of January, he had 528,741 books in his store. He sold 3,582 books that month and gave away 863 books
Answer:
Then he should have 524,296 books left
How to do this question
Answer:
Check your mathematics Text book...Then you can see heading True conditional statement..Check the example question then i am sure you will get the correct answer...