Answer:
Step-by-step explanation:
3.
area of one triangular face = ½×16×30 = 240 in²
area of base = 30×9 = 270 in²
area of diagonal face = 34×9 = 306 in²
area of vertical face = 16×9 = 144 in²
surface area = 2×240 + 270 + 306 + 144 = 1,200 in²
volume = 240×9 = 2,160 in³
:::::
4.
area of one triangular face = ½×10×10.5 = 52.5 ft²
area of base = 10.5×6 = 270 ft²
area of diagonal face = 14.5×6 = 87 ft²
area of vertical face = 10×6 = 60 ft²
surface area = 522 ft²
volume = 52.5×6 = 315 ft³
Katie's earnings, E , for a week are given by the equation E = 18h, where H is the number of hours that Katie works during the week. If Katie works 40 hours per week for 4 weeks, how much money will she earn during the 4-week period?
Answer:
$2,880
Step-by-step explanation:
18 x 40 = 720 earned per week
720 x 4 (weeks) = 2880 earned in 4 weeks
Write the linear equation in slope-intercept form, 5x − 2y = 10
Answer:
y=5x-2
Step-by-step explanation:
Vocabulary Is every relation also a function? Explain.
A. No. A relation is a special type of function where each input maps to exactly one output. In a function, an input can have one or more outputs.
B. Yes. A function is a special type of relation where each input maps to exactly one output. In a relation, an input can have one or more outputs.
C. Yes. A relation is a special type of function where each input maps to exactly one output. In a function, an input can have one or more outputs.
d. No. A function is a special type of relation where each input maps to exactly one output. In a relation, an input can have one or more outputs.
Answer:
It is B
Step-by-step explanation:
A user's vocabulary is a collection of often used words in their language. A vocabulary is a helpful and important instrument for communication and knowledge acquisition that develops with age.
One of the most challenging aspects of acquiring a new language is developing a wide vocabulary.
The correct answer is B. Yes. A function is a special type of relation where each input maps to exactly one output. In relation, an input can have one or more outputs.
Words that will be used in all of the classes. Cause and effect, comparison and contrast, and challenge and remedy are some characteristics of text pattern terms. With terms like imagine, forecast, and justify, functional vocabulary can also help with question generation.
To know more about the vocabulary and its function, refer to the link below:
https://brainly.com/question/25312924
Simplify.
3t-t•t•t+3(-2t)+t
A. -1- 24
B. 1-24
C. -51
D. -70
Answer:
3t - t.t.t +3(-2t) + t
3t - t³ - 6t + t
3t - 6t + t - t³
-2t - t³
Option A is correct
What is the slope of the line
Step-by-step explanation:
Look at the points (0,-3) and ( 3,0)
slope, m = rise / run = 3 / 3 = 1
Answer:
1
Step-by-step explanation:
y=x+3
solve pls brainliest
(a) 305 (?)
(b) Fields, monroe
(c) Treevale
I NEED HELP PLS HURRY
1. Write each expression with a single exponent:
a. (10^7)²
b. (10^9)³
c. (10^6)³
d. (10^2)³
e. (10³)²
f. (10^5)^7
Answer:
We use the rule,
\((a^b)^c = a^{bc}\)
a. (10^7)²
\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)
10^14
b. (10^9)³
\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)
10^27
c. (10^6)³
\(10^{(6)(3)}= 10^{18}\)
10^18
d. (10^2)³
\(10^{(2)(3)} = 10^{6}\)
10^6
e. (10³)²
\(10^{(3)(2)}=10^{6}\)
10^6
f. (10^5)^7
\(10^{(5)(7)} = 10^{35}\)
10^35
Step-by-step explanation:
CAN SOMEONE HELP WITH THIS QUESTION?✨
The marginal revenue at 8 units is given as follows:
MR(8) = 288 dollars per unit.
How to obtain the marginal revenue?The revenue function is defined as follows:
R(q) = -7q² + 400q.
The marginal revenue function is the derivative of the revenue function, hence it is obtained as follows:
MR(q) = -14q + 400.
At 8 units, the marginal revenue is found with the numeric value of MR(q) at q = 8, hence:
MR(8) = -14(8) + 400 = 288 dollars per unit.
More can be learned about marginal revenue at https://brainly.com/question/13444663
#SPJ1
what is 12.25 divided by 2.5
Answer:
4.9
Step-by-step explanation:
Each student in Mr.Carey’s class donated 15$ to a charity. There are 24 students in the class which expression could have been used to calculate the total amount donated?
please help me understand this math.
Answer:
y ≤ 3x − 1
Step-by-step explanation:
The line has a y-intercept of -1 and a slope of 3.
The shaded area is below the line, so we use < or ≤.
The line is solid, not dashed, so we use ≤.
y ≤ 3x − 1
A certain music club charges an annual membership fee of $99, in return, its members will be able to buy and download songs at a very low cost of 10 cents each. If Tyna spent a total of $149.30 including the membership fee, how many songs did she buy?
A) 99+10x=149.30
B) 99-10x=149.30
C) 99-0.1x=149.30
D) 0.1x+99=149.30
Answer:
D). 0.1x+99=149.30
How many songs Tyna Bought:
503 songs
Step-by-step explanation:
Since the membership fee is 99 you don't have to pay for it again
(Until next year that is)
Now it states that every download cost 10 cents or $0.1
So we don't know how many she will buy so we can replace that unknown value with x
So the equation is
0.1x+99=149.30
To solve this you first subtract 99 on both sides:
Which will result in
0.1x=50.3
Divide 0.1 on both sides
So Tyna bought 503 songs
(HOLY THAT IS A LOT OF SONGS)
Hope this Helps!
A box of six pencils cost £1.56. A box of eight rubbers cost £2.72. What is the difference in cost between one pencil and one rubber?
By answering the presented question, we may conclude that As a result, inequality the cost difference between one pencil and one rubber is £0.08.
What is inequality?In mathematics, an inequality is a non-equal connection between two expressions or values. As a result, imbalance leads to inequity. In mathematics, an inequality connects two values that are not equal. Inequality is not the same as equality. When two values are not equal, the not equal symbol is typically used (). Various disparities, no matter how little or huge, are utilised to contrast values. Many basic inequalities may be solved by altering the two sides until just the variables remain. Yet, a lot of factors contribute to inequality: Negative values are split or added on both sides. Exchange left and right.
To determine the cost difference between one pencil and one rubber, we must first determine the cost per item for each product.
The price of a pencil is 1.56 / 6 = £0.26.
The price of a rubber is 2.72 / 8 = £0.34.
Therefore the cost difference between one pencil and one rubber is:
£0.34 - £0.26 = £0.08
As a result, the cost difference between one pencil and one rubber is £0.08.
To know more about inequality visit:
https://brainly.com/question/29914203
#SPJ1
In ΔJKL, the measure of ∠L=90°, LK = 65, KJ = 97, and JL = 72. What is the value of the sine of ∠K to the nearest hundredth?
Answer:
To find the sine of angle K in triangle JKL, we can use the formula:
sin(K) = opposite/hypotenuse
In this case, side JL is the hypotenuse and side LK is the opposite side of angle K.
Using the Pythagorean theorem, we can find the length of side JL:
JL^2 = LK^2 + KJ^2
JL^2 = 65^2 + 97^2
JL^2 = 16,690 + 9,409
JL^2 = 26,099
JL = √26,099
JL ≈ 161.54
Now we can find the sine of angle K:
sin(K) = opposite/hypotenuse
sin(K) = LK/JL
sin(K) = 65/161.54
sin(K) ≈ 0.402
Therefore, the sine of angle K in triangle JKL is approximately 0.40 when rounded to the nearest hundredth.
The value of sin of ∠k is 0.74.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
We can use the sine function to find the value of sin(∠K).
sin(∠K) = opposite/hypotenuse
In ΔJKL,
The hypotenuse is Jk, which is 97.
The opposite side of ∠K is LJ, which is 72.
Therefore.
sin(∠K)
= JL/KJ
= 72/97
= 0.74
Thus,
The value of sin of ∠k is 0.74.
Learn more about trigonometric identities here:
https://brainly.com/question/14746686
#SPJ2
3+1905=x . .......................
Help me out 3 i need some help :(
Answer:
The first one
Step-by-step explanation:
Since only the first session is $10, it wouldn't be 10x.
The second session is $5, and it will never be $10 again, so $5 sessions are unlimited which would be 5x.
So the answer is y = 10 + 5x
(sorry if i didnt explain well)
someone knows the answer to that question?
i cant read itStep-by-step explanation:
pls help 10 ptsssssssssssss
Triangle Congruence: Question 1
In the accompanying proof, what is reason (5)?
Given: A B║DC
AB=DC
Prove: m ∠DAC= m ∠BCA
Select one:
SSS
SAS
SSA
ASA
In the accompanying proof, the reason (5) is SAS theorem.
In the given question,
Given: AB || DC
AB=DC
Prove: m∠DAC = m∠BCA
The statement used to prove this conditions are:
Statement Reason
AB || DC (1) Using the Quadrilateral Rule
AB=DC (2) Opposite sides are equal
m∠BAC = m∠DCA (3) Alternate interior angles Theorem
AC=AC (4) Common Side
∆ADC≅∆CBA (5) SAS Theorem
m∠DAC = m∠BCA (6) Alternate interior angles Theorem
We have to explain in the accompanying proof, what is reason (5).
So, in the accompanying proof, the reason (5) is SAS theorem.
In the proving we first prove one side equal, then angle equal and at last again one side equal.
To learn more about SAS theorem link is here
brainly.com/question/22472034
#SPJ4
2
It takes Nathan 4 minutes to solve 3 math problems. Choose a ratio tool to determine how long will it take Nathan to solve 12 math problems.
Answer: since 4mins->3math prob.
then 12/3=4 and 4x4=16
It will take him 16 minutes to solve 12 math problems
Step-by-step explanation:
Jade receives total employee benefits that are 17.5% of her gross annual pay. If Mary has a gross annual pay of $60,500, how much in total job benefits does she receive?
A $71,087
B. $81,087
C. $61,087
D. 551,087
Answer:
A. 71087
Step-by-step explanation:
60500× 17.5%= 10587.5
10587.5 + 60500= 71087
Simplify this expression:2x + 3 – (5 – 6x).
Answer:
8x - 2
Step-by-step explanation:
2x + 3 - (5 - 6x) ← distribute parenthesis by - 1
= 2x + 3 - 5 + 6x ← collect like terms
= (2x + 6x) + (3 - 5)
= 8x + (- 2)
= 8x - 2
Look at pic plz help
Answer:
tree C was planted first
Step-by-step explanation:
Since Tree c was 10 inches tall when it was first grown and Tree A was 5 at first and Tree B was 3 inches tall. 10>5 10>3
Select the correct answer from each drop-down menu. Each graph shows the results of a transformation applied to function f where f(x) = (1/2)^x.
Complete the statement given that g(x) =f(kx). The graph of function g is graph Because the graph a function g is the result of a  applied to the graph of function F .
Given that g(x) =f(kx). The graph of function g is graph Z Because the graph a function g is the result of a horizontal compression applied to the graph of function F.
What is a graph?A graph can be described as a pictorial representation or a diagram that represents data or values in an organized manner.
The graph of the function g(x) = f(kx) is obtained from the graph of f(x) by a horizontal compression or stretching, depending on the value of k.
In conclusion, If k is greater than 1, then the graph of g(x) is obtained from the graph of f(x) by a horizontal compression.
Learn more about graph of the function at: https://brainly.com/question/28643733
#SPJ1
pls solve I need it solved rn show work urgent PLS*****
Answer:
16. y=-5x-20; 17. y=6x+18, or factored y=6(x+3)
Step-by-step explanation:
Your slope is -5
y=-5x+b, solve for b by pluging the point (-3,-5) in for x and y
-5=-5(-3)+b, solve for b
-20=b, now rewrite the equation
y=-5x-20
Your slope is 6
y=-5x+b, solve for b by pluging the point (-3,-0) in for x and y
0=6(-3)+b, solve for b
18=b, now rewrite the equation
y=6x+18, or factored y=6(x+3)
What is the solution to this equation?
4(3x + 5) = 5(x + 4) + 7x
Answer:
Step-by-step explanation:
Find the present value of $19,500 in 7 months at 7.9% interest
I think the answer is 20,016.87$
Solve for u.
5(u-9)-3=-6(-4u+7)-3u
Answer:
\(-\frac38\) or -0.375
Step-by-step explanation:
Hello!
We can solve for "u" by isolating the variable.
First, expand the parentheses.
Solve for u5(u-9) - 3 = -6(-4u+7) - 3u5u - 45 - 3 = 24u - 42 - 3u5u - 48 = 21u - 425u - 6 = 21u-6 = 16u-6/16 = u-3/8 = uu is -0.375.
please help me answer this
Sequence 1: 13, 16, 19, 22, 25, Sequence 2: 15, 13, 11, 9, 7 and Ordered Pair: (13, 15), (16, 13), (19, 11), (22, 9), (25, 7).
what is sequence?
An ordered list of numbers is a sequence. The three dots indicate that the established pattern should move forward.
A. Sequence 1: 13, 16, 19, 22, 25
Sequence 2: 15, 13, 11, 9, 7
Ordered Pair: (13, 15), (16, 13), (19, 11), (22, 9), (25, 7)
B. Sequence 1: 1, 5, 17, 53, 161
Sequence 2: 6, 15, 33, 69, 141
Ordered Pair: (1, 6), (5, 15), (17, 33), (53, 69), (161, 141)
C. Input (x) | Output
1 | 17, 2 | 19, 3 | 21, 4 | 23
D. Input (x) | Output
1 | 30, 2 | 15, 3 | 7.5
To find the outputs, we use the formula: output = 60 ÷ 2x.
For x = 1, output = 60 ÷ 2(1) = 30
For x = 2, output = 60 ÷ 2(2) = 15
For x = 3, output = 60 ÷ 2(3) = 7.5
E. Input (x) | Output
1 | 23, 2 | 30, 3 | 37, 14 | 102, 15 | 109, 16 | 116, 27 | 205, 70 | 498
To find the outputs, we use the formula: output = 16 + 7x.
For x = 1, output = 16 + 7(1) = 23
For x = 2, output = 16 + 7(2) = 30
For x = 3, output = 16 + 7(3) = 37
For x = 14, output = 16 + 7(14) = 102
For x = 15, output = 16 + 7(15) = 109
For x = 16, output = 16 + 7(16) = 116
For x = 27, output = 16 + 7(27) = 205
For x = 70, output = 16 + 7(70) = 498
To know more about Sequence visit,
brainly.com/question/30262438
#SPJ1
Miss Lianto mowed 2 7 of her lawn. Her son mowed 1 3 of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?
HURRY!!!!!!!!!!!!!!!!!!!!!!!!!
8/21 of the lawn still needs to be mowed.
To compare fractions, we need a common denominator. The least common multiple of 7 and 3 is 21.
Miss Lianto's fraction: (2/7) x (3/3) = 6/21
Son's fraction: (1/3) x (7/7) = 7/21
To calculate how much of the lawn still needs to be mowed, we can subtract the combined fractions mowed from the total:
Combined fractions mowed: 6/21 + 7/21 = 13/21
So, Remaining fraction: 1 - 13/21 = 8/21
Therefore, 8/21 of the lawn still needs to be mowed.
Learn more about Fraction here:
https://brainly.com/question/10354322
#SPJ1