Answer
$1.25
Step-by-step explanation:
well a quarter is 25 and 4 of them is $1.00 plus 25 = $1.25 cents
A rectangular block of wood measures 5 inches wide. Over time, the width of the block of wood will shrink by 5%. A builder lets the block of
wood shrink. He wants to use it to fill a gap that measures 3.5 inches wide.
How much does the builder need to cut off the wood block so that it will fit exactly in the gap? Enter the answer in the box.
Answer:
He will have to cut off 1.25 inches.
Step-by-step explanation:
Take 5% of 5 inches
0.05(5)=0.25 inches
5 inches - 0.25 inches= 4.75 inches
4.75 inches is how wide the wood is after it shrinks.
Find how much he needs to cut off
4.75 inches - 3.5 inches=1.25 inches
He will need to cut off 1.25 inches in order for the block to fit exactly.
which elevation is higher 8 feet below sea level or 13 feet below sea level
Answer: 8 feet below sea level is higher
Step-by-step explanation:
Write an inequality, in slope-intercept form, for the graph below. If necessary,
use '<="for < or ">" for >.
(-3,0)
X
5
(0, -3)
-5
Given:
The graph of an inequality.
To find:
The inequality in slope intercept form.
Solution:
The slope intercept form is:
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
From the given graph it is clear that the boundary line passes through the points (-3,0) and (0,-3).
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-0=\dfrac{-3-0}{0-(-3)}(x-(-3))[/tex]
[tex]y=\dfrac{-3}{3}(x+3)[/tex]
[tex]y=-1(x+3)[/tex]
[tex]y=-x-3[/tex]
From the given graph it is clear that the boundary line is a solid line and the shaded region lies above the line, so the sign of inequality must be "≥".
[tex]y\geq -x-3[/tex]
Therefore, the required inequality is [tex]y\geq -x-3[/tex].
Why did the robber take a bath
Answer:
To make a "clean getaway"
Step-by-step explanation:
haha, nice one :D
Can someone pls help I’ll mark brainliest
Answer:
I think it is the 5th one if im wrong i am sorry
Step-by-step explanation:
Answer:
E.
Step-by-step explanation:
2
The height in meters of a projectile involves the object's initial height,
upward velocity, and acceleration because of gravity. If the equation
y =- 9.8t + 109.7t + 7.4 models the number of meters, y, a toy rocket
is above the ground t seconds after being launched, what does the 7.4
represent?
Answer: Initial height before launch
Step-by-step explanation:
Given
The equation [tex]y=-9.8t+109.7t+7.4[/tex] the height of toy rocket after t sec
when the rocket is launched, time is [tex]t=0[/tex]
Substituting 0 for [tex]t[/tex] in the equation
[tex]\Rightarrow y(0)=-9.8(0)+109.7(0)+7.4\\\Rightarrow y(0)=7.4[/tex]
Here, [tex]7.4[/tex] represents that rocket is already at a height of [tex]7.4[/tex] m before the launch.
Solve for x. (-6/5) x - 4 = -46
A: 23
B: 35
C: -23
D: -35
Answer:
you have flvs? am if u do is it geometry?
5-ſ
To rationalize the denominator of
9-14 · you should multiply the expression by which fraction?
5+√7
9-14
9- V14
9-√14
9+ 14
9+ V14
14
14
We should multiply the expression by (9+√14) fraction.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers.
To rationalize the terms, we multiply both the denominator and denominator by the conjugate of the denominator.
The denominator is 9-√14 and its conjugate is; (9+√14).
(5-√7)/(9-√14) = (5-√7)(9+√14)/(9-√14)(9+√14)
= (5-√7)(9+√14)/(9²-14)
= (45 + 5√14 - 9√7 - √98)/(81-14)
= (45 + 5√14 - 9√7 - √98)/67
= (45 + 5√14 - 9√7 - 7√2)67
This is the rationalized expression.
The denominator is (9-√14) and its conjugate is (9+√14).
Learn more about multiplications;
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Find the value of x that makes ABCD a parallelogram.
D
с
X + 40°
70°
70°
X + 40°
А
B
O A. x = 40°
B. x = 50°
O c. x = 70°
O D. x = 30°
HELPPP MEEE PLSSS ASAPPPP !!!!!
The value of x that makes ABCD a parallelogram is C. x = 70°.
What is Parallelogram?Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.
Opposite sides are parallel, and the opposite sides and opposite angles are equal.
Given that ABCD is a parallelogram.
We know that opposite angles of a parallelogram are equal.
It is already given.
Also, adjacent angles of a parallelogram is equal to 180°.
So,
x + 40 + 70 = 180
x + 110 = 180
x = 180 - 110
x = 70
Hence the correct option is C. x = 70°.
To learn more about Parallelograms, click here :
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PLS HELP LOLZ <33
tasha is putting money into a savings account with a simple interest rate of 4% per year. if she initially deposits $6,000, then how much will her investment be worth at the end of six year
Answer: tasha's investment will be worth $1,440
Step-by-step explanation:
4%= 4/100= 0.04
PRT=6,000*0.04*6= $1,440
seth put $500 in his savings account, which earns a earns a simple interest rate of 4%
A. use the simple interest equation ( I=Prt ) to find out how much interest seth earns after 6 years.
B. now find out how much interest seth wold earn if he were to earn 7% compound interest for 6 years
Someone help me out :)
Answer: sorry i dont know this
Step-by-step explanation:
If someone vapes for every 15 minutes in a total of 16 hours how many times would they vape in those 16 hours
Answer:
64 times
Step-by-step explanation:
There are 4 sessions of 15 minutes in an hour. Meaning that a person would vape 4 times in an hour. 4 * 16 = 64. A person vapes 64 times in 16 hours. o-o dont vape kids.
Answer and Step-by-step explanation:
We are given the ratio of 1 vape every 15 minutes. We need to convert the time to hours, then multiply the hours by 16.
1 : 15
We know that there are 60 minutes in 1 hour, so we need to multiply 15 by 4 to get 60.
15 × 4 = 60
We also need to multiply 1 by 4, so that the result will be a multiple of the beginning number and so that we didn't get random numbers from somewhere.
1 × 4 = 4
Now we have the ratio 4 : 60, which means that the person vapes 4 times every 60 minutes, or every hour. But since we turned the minutes into an hour, this turns the 60 into a 1. 4 : 1
Now, we have to multiply 4 and 1 by 16 to get the amount of vapes done in 16 hours.
4 × 16 = 64
1 × 16 = 16
So, we have the ratio 64 : 16
This means that the person smokes 64 times in the 16 hours.
#teamtrees #PAW (Plant And Water)
a cylindrical pipe made of metal 3 m long is 3 cm if the internal radius of the pipe is 10 cm what is the volume of metal used in making the pipe
Answer:
857.766cm^3
Step-by-step explanation:
Given data
Lenght = 3m
Internal radius r = 3m
External radius R= 10m
Volume of pipe= πr^2h
Volume of metal= External - Internal
Volume= πR^2h-πr^2h
Volume= πh(R^2-r^2)
Volume= 3.142*3(10^2-3^2)
Volume= 3.142*3(100-9)
Volume= 9.426*(91)
Volume= 857.766cm^3
Hence the volume of the metal is 857.766cm^3
Select ALL of the expressions that are equivalent to 3(8-4x) A. (4x+ 8) + (4x+8) +( 4x+8) B. 24+12x C. -4x+24 D. 12x+24 E. - 12x-24
I suck at math help if you know and explain plz and thank you!
Answer:
13Y
Step-by-step explanation:
7+6 = 13
Answer:
Step-by-step explanation:
7y+6y
y(7+6)
y*13
13y
Or
since they are like term u simply add them
7y+6y
13y
Find sec 0, sin 0, and tan 0, where is the angle shown in the figure.
Give exact values, not decimal approximations.
Answer:
Secθ = 11 / 9.22 or sec33°
Sinθ = 6 / 11 or Sin33°
Tanθ = 6 / 9.22 or Tan33°
θ = 33°
Step-by-step explanation:
Given:
Hypotenuse = 11 unit
Perpendicular = 6 unit
Find:
Secθ
Sinθ
Tanθ
Computation:
Base = √Hypotenuse² - Perpendicular²
Base = √11² - 6²
Base = √121 - 36
Base = √85
Base = 9.22 unit (Approx.)
Secθ = Hypotenuse / Base
Secθ = 11 / 9.22 or sec33°
Sinθ = Perpendicular / Hypotenuse
Sinθ = 6 / 11 or Sin33°
Tanθ = Perpendicular / Base
Tanθ = 6 / 9.22 or Tan33°
So value of θ = 33°
A bag contains red and blue marbles, such that the probability of drawing a blue marble is 3/8. An experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome. Complete the probability distribution table on your own paper. Answer the question in the text box below. / What is the probability of drawing exactly one blue marble? Write a simplified fraction.
Answer:
The probability of drawing exactly one blue marble is 15 over 32
Step-by-step explanation:
did test
What is 972 written in standard form
The solid triangular prism shown below is made from metal . The prism is melted down and the metal is used to create a solid cube. Find the side length of the cube. For the triangle, the base is 9cm, Height is 4cm, and Length is 12cm.
Answer:
6 cm
Step-by-step explanation:
Given :
base is 9cm, Height is 4cm, and Length is 12cm.
Volume of triangular prism :
V = 1/2 * base * height * length
V = 1/2 * 9 * 4 * 12
V = 9 * 2 * 12
V = 216 cm³
Volume of a cube = a³
Where , a = side length
If 216cm³ is melted to form a cube
Then ;
a = 216^1/3
a = 6 cm
If you can please do it all just tryna go to sleep
Answer:
1. 1
2. -3
3. yes
4. no, it is not, because the function stop at point (-6, -2)
5. -2
A school uses the function p(t)=t2−20t+175 to model the profit (in dollars) expected in a weekend when the tickets are sold at a certain price, t, to the school musical go on sale a. Write an equation to find out the prices at which the school would earn $100 in profit from the school musical each weekend. b. Find out at what prices the tickets should be sold at to make a $100 profit each weekend. SHOW ALL WORK.
Answer:
[tex](a)\ t^2 - 20t + 75= 0[/tex]
[tex](b)[/tex] [tex]t = 5; t -=15[/tex]
Step-by-step explanation:
Given
[tex]p(t) = t^2 - 20t + 175[/tex]
Solving (a): Equation when profit = 100.
This implies that:
[tex]p(t) =100[/tex]
So, we have:
[tex]100 = t^2 - 20t + 175[/tex]
Rewrite as:
[tex]t^2 - 20t + 175 - 100 = 0[/tex]
[tex]t^2 - 20t + 75= 0[/tex]
Solving (b): Calculate t, in (a)
In a, we have:
[tex]t^2 - 20t + 75= 0[/tex]
Expand
[tex]t^2 - 15t -5t + 75= 0[/tex]
Factorize
[tex]t(t - 15) -5(t - 15)= 0[/tex]
Factor out t - 15
[tex](t - 5)(t - 15)= 0[/tex]
Split
[tex]t - 5 = 0; t - 15 =0[/tex]
Solve
[tex]t = 5; t -=15[/tex]
The prices are $5 and $15, respectively
A pyramid has a square base of 14cm and a height is 19 cm and slanted height is 21cm. Find its total surface area and it's volume
Answer:
Total surface area=728cm^2
Volume of pyramid=1241.33 cm^3
Step-by-step explanation:
Given data
Square base= 14cm
Height= 19cm
Slant height = 21cm
Area of all four triangular surfaces= 1/2B*H*4
Area of all four triangular surfaces= 1/2*14*19*4
Area of all four triangular surfaces= 1/2*1064
Area of all four triangular surfaces=532 cm^2
Area of square base= 14^2
Area of square base=196cm^2
Total surface area= Area of all four triangular surfaces+Area of square base
Total surface area=532+196
Total surface area=728cm^2
Volume of pyramid= a^2h/3
Volume of pyramid= 14^2*19/3
Volume of pyramid= 196*19/3
Volume of pyramid=3724/3
Volume of pyramid=1241.33 cm^3
Please I need help.
Find each length or area to the nearest tenth.
ZY:_____
XZ:_____
Area of XYZ:_____
Answer:
XZ = 26.7
ZY = 11.7
Area = 140.4 sq inches
Step-by-step explanation:
m∠Z = 180-(26+90) = 64°
to get XZ you can use the law of sines:
sin 90°/XZ = sin 64°/24
1/XZ = sin(64°)
cross-multiply to get:
XZ·sin(64°) = 24
XZ = 24/sin(64°)
XZ = 26.7
to get ZY you can use the law of sines again:
sin 64°/24 = sin 26°/ZY
cross-multiply to get:
ZY·sin(64°) = 24·sin(26°)
ZY = 24·sin(26°) ÷ sin(64°)
ZY = 11.7
Area = 1/2(11.7)(24)
= 12(11.7)
= 140.4 sq inches
Given csc A= 37/12 and that angle A is in Quadrant I, find the exact value of sec A in
simplest radical form using a rational denominator.
Answer:
Step-by-step explanation:
Below is the pic of how this would be set up in order to determine what it is you are looking for. The angle is set in QI, and since csc A is the reciprocal of sin, the ratio is hypotenuse over side opposite. Solve for the missing side using Pythagorean's Theorem:
[tex]37^2=12^2+b^2[/tex] and
1369 = 144 + b² and
1225 = b² so
b = 35
The sec ratio is the reciprocal of cos, so if cos is adjacent over hypotenuse, the sec is hypotenuse over adjacent, which is 37/35
Melissa wants to expand her rectangular sandbox that measures 4 feet by 8 feet. Two sides of the sandbox are against a fence. She wants to increase the length and the width of the sandbox by the same amount on the two sides that are not against the fence. The total area of the new sandbox will be 60 square feet. What is the amount of increase?
Answer:
The amount with which she should increase the length and the with of the sandbox is 2 feet each
Step-by-step explanation:
The dimensions of Melissa's rectangular box are;
Width of the box = 4 feet
Length of the box = 8 feet
The total area of the new sandbox, A = 60 square feet
Let 'x' represent the amount by which she increases the width and lengths of sides that not against the fence, we have;
The area of the new sandbox, A = The new length × The new width
A = 60 ft.²
The new length = 8 + x
The new width = 4 + x
∴ A = 60 = (8 + x) × (4 + x) = x² + 12·x + 32
60 = x² + 12·x + 32
60 - 60 = 0 = x² + 12·x + 32 - 60
∴ x² + 12·x - 28 = 0
(x + 14)·(x - 2) = 0
x = -14 or x = 2
Therefore, the amount she can increase the width and lengths of sides that not against the fence to have make a new sandbox with an area of 60 ft.² is, x = 2 feet
The amount of increase of the length and the width of the sandbox, x = 2 feet each.
Divide $81 in ratio 4:5
Answer:
36:45
Step-by-step explanation:
$81. u add the ratios 4+5=9
$81/9=9
9*4=36
9*5=45
which choices are equivalent to the exponential expression below?
Answer:
The answer is
B
D
F
Step-by-step explanation:
Squaring a fraction is like squaring a whole number really so you just square the fraction by multiplying it by itself.
A researcher posts a radio advertisement offering $35 in exchange for participation in a short study. The researcher accepts the first eight people who respond to the advertisement. Which of the following statements is true about the sample? (5 points) a It is a valid sample because the first eight people were selected to participate. b It is not a valid sample because it is not a random sample of the population. c It is a valid sample because money was offered to participants. d It is not a valid sample because it is only a short study.
And please help me with this one too!! Thank you!!
Answer:
math.way
Step-by-step explanation:
Answer:
Step-by-step explanation:
y^2=49
y=[tex]\sqrt{49}[/tex]
y=7
What is the approximate volume of the cone? Use 22 for it. Enter your answer in the box.
3 cm
14 cm
About
cm3
Step-by-step explanation:
[tex] \frac{1}{3} ( \frac{22}{7} ) {(3)}^{2} (14) \\ \frac{1}{3} ( \frac{22}{7})(9)(14) \\ \frac{1}{3}( \frac{22}{7}) (126) \\ 42( \frac{22}{7}) \\ \frac{924}{7} \\ 132{cm}^{3} [/tex]