Answer:
7x+14=0, 7x=-14, x= -2
Step-by-step explanation:
add like terms, then get x on one side, number on the other, then divide both sides by 7
10 points
What is the total surface area of the
rectangular prism shown in square inches?
Answer:
D. 286.5 in.^2
Step-by-step explanation:
3 X 7.5+ 3 X 11.5 + 3 X 7.5+ 11.5 X 3 + 7.5 X 11.5 + 7.5 X 11.5=
22.5 + 34.5 + 22.5 + 34.5 + 86.25 + 86.25=
total surface area= 286.5 in.^2
Write the exponential equation
A. y = 2.5(2)^x
B. y = 10(1/2)^x
C. y = 2(2.5) ^x
D. y = 1/2(10)^x
Answer:
A. y = 2.5(2)^x
Step-by-step explanation:
Given that when
x = 1, f(x) = 5
x = 2, f(x) = 10
x = 3, f(x) = 20
x = 4, f(x) = 40
x = 5, f(x) = 80
x = 6, f(x) = 160
Considering all the options
y = 2.5(2)^x
Substitute x = 1
y = 2.5(2)^1 = 2.5 *2 = 5
Substitute x = 2
y = 2.5(2)^2 = 2.5 * 4 = 10
Substitute x = 3
y = 2.5(2)^3 = 2.5 * 8 = 20
Substitute x = 6
y = 2.5 (2)^6
= 2.5 * 64
= 160
Since the function is true for all the values of x substituted, then the answer is A. y = 2.5(2)^x
What is the volume of this rectangular prism?
1/2cm 4 cm 3/2cm
Answer:
21cm3
Step-by-step explanation:
It costs $29.50 to enter an amusement park and $0.25 to ride a ride. You have $30. Write an equation that represents the number of rides you can ride.
Answer: 120.
Step-by-step explanation: $30 divided by $0.25
A door to a playhouse is 50 inches tall. Which of the following is another measure equal to the height?
A- 4ft 2in,
B-4ft 1in.
C-4ft 1/2in
D-5ft
Answer:
4 ft 2 in.
Step-by-step explanation:
A door to a playhouse is 50 inches tall
we know that
1 in---------------> is 0.0833333 ft
so
50 in-------------> 50*0.0833333---------> 4.167 ft
4.167 ft----------> [4 ft+0.167 ft]
remember that
1 in---------------> is 0.0833333 ft
X in----------------> 0.167 ft
X=0.167/0.0833333----------> X=2 in
4.167 ft----------> [4 ft+0.167 ft]--------> [4 ft+2 in]
"An education researcher recorded the number of books students read over the last year and the number of vocabulary words that students defined correctly on a test of 100 vocabulary words. The resulting data were used to conduct a hypothesis test to investigate whether there is a positive linear relationship between the number of books read and the number of vocabulary words defined correctly. What are the correct hypotheses for the test?"
Answer:
B
Step-by-step explanation:
What is the volume of the figure?
Answer:
12.57
Step-by-step explanation:
same as last time you know
Given a center of (3,-5) and a radius of 4, write an equation for the circle.
Answer:
(x-3)²+(y+5)²=16
Step-by-step explanation:
[tex] \large \boxed{ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} }[/tex]
The equation above is an equation of circle with a centre at (h,k) and has radius = r
Substitute h = 3, k = -5 and r = 4 in the equation.
[tex] \large{ {(x - 3)}^{2} + {(y - ( - 5))}^{2} = {4}^{2} } \\ \large{ {(x - 3)}^{2} + {(y + 5)}^{2} = 16}[/tex]
PLEASE HELP ASAP!!! URGENT
Verify the identity. Sinx/1-cosx = cscx+cotx
Please use the answers shown in the image !! Thank you !!
Answer:
1) [tex]\frac{\sin x}{1-\cos x} = \csc x + \cot x[/tex]
2) [tex]\frac{\sin x}{1-\cos x} = \frac{1}{\sin x} + \frac{\cos x}{\sin x}[/tex]
3) [tex]\frac{\sin x}{1-\cos x} = \frac{1+\cos x}{\sin x}[/tex]
4) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x \cdot (1+\cos x)}{\sin^{2}x}[/tex]
5) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{1-\cos^{2}x}[/tex]
6) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{(1+\cos x)\cdot (1-\cos x)}[/tex]
7) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x}{1-\cos x}[/tex]
Step-by-step explanation:
Now we proceed to show all steps needed to demonstrate the trigonometric identity:
1) [tex]\frac{\sin x}{1-\cos x} = \csc x + \cot x[/tex] Given.
2) [tex]\frac{\sin x}{1-\cos x} = \frac{1}{\sin x} + \frac{\cos x}{\sin x}[/tex] Identities for cosecant and cotangent functions.
3) [tex]\frac{\sin x}{1-\cos x} = \frac{1+\cos x}{\sin x}[/tex] [tex]\frac{a}{b}+\frac{c}{b} = \frac{a+c}{b}[/tex]
4) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x \cdot (1+\cos x)}{\sin^{2}x}[/tex] Existence of additive inverse/Modulative property.
5) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{1-\cos^{2}x}[/tex] Fundamental trigonometric identity.
6) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{(1+\cos x)\cdot (1-\cos x)}[/tex] Factorization.
7) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x}{1-\cos x}[/tex] Existence of additive inverse/Modulative property/Result.
Melissa bought 2 shirts and 3 skirts and spent between $45 and $60. Each shirt costs the same amount. Each skirt costs the same amount. The price of a shirt is $12. What is the least amount Melissa could have spent on a skirt? What is the most Melissa could have spent of a skirt?
Answer:
Least is 7
Most is 12
Step-by-step explanation:
So 2 shirts for 12.
So 24
Take 24 off of both
Left with 21 to 36
21÷3 is 7
36÷3 is 12
Hope this helps
Answer:
least - $7
most - $12
Explanation:
if the price of a shirt is $12, she must have spent at least $24 on the shirts in total.
the least amount melissa could have spent on a skirt is:
($45 - $24) ÷ 3 = $7
and the most she could have spent is:
($60 - $24) ÷ 3 = $12
i hope this helps! :D
10111011/111 binary division
Answer:
91090.1891892
Step-by-step explanation:
rounded it would be 91090
Select all the expressions that contain the coefficient 3.
Answer:
b/c
Step-by-step explanation:
what is the answer to these questions?
4(x + 1) + 8 = 24
how do i solve this
Answer: x = 3
First, you can multiply the 4 with the x and the 1:
4x + 4 + 8 = 24
Now, you just add the 4 and the 8 together:
4x + 12 = 24
Subtract 12 from both sides:
4x = 12
Now you divide by 4 from both sides
x = 3
^ and that's your final answer!
Answer:
x=3
Step-by-step explanation:
4x+4+8=24
4x+12=24
4x=12
4x/4=12/4
(x=3)
pleas help. 10 pointssss
Answer:
6
Step-by-step explanation:
Find the measure of _PUQ.
49
52
369
U
41
43
53
499
Answer:
43 is the answer ok I hope you helped
Justin buys ice cream and apples at the store.
He pays a total of $25.24.
He pays a total of $5.14 for the ice cream.
He buys 5 bags of apples that each cost the same amount.
Write and solve an equation which can be used to determine xx, how much each bag of apples costs.
Answer:
$4.02
Step-by-step explanation:
Subtract $5.14 from $25.24.
$25.24-$5.14=20.10
Divide 5 and $20.10
20.10/5= 4.02
so each bag of apples costs $4.02
Find the area of the following composite figure
Answer:
1713
Step-by-step explanation:
952+288+472=1713
01:11:1
n
The population, P, of six towns with time t in years are given by the following exponential equations:
(0) P - 1000(1.08)'
(ii) P-600(1.12)
(iii) P - 2500(0.9)'
(iv) P - 1200(1.185)
(V) P - 800(0.78)
(vi) 2000(0.99)
Which towns are decreasing in size?
i, ii, and iv
c. i, ii, and iii
b. iii, v, and vi
d. vi, i, and ii
a.
Please select the best answer from the choices provided
А
B
е с
D
9514 1404 393
Answer:
b. iii, v, and vi
Step-by-step explanation:
We assume your equations are intended to be P=(something) where the something has a final factor of ( )^t.
The final factor is called the "growth factor". Subtracting 1 from it gives the "growth rate". When that value is negative, the population is declining.
Equations (iii), (v), and (vi) have growth rates that are negative, so those represent towns decreasing in size.
Problem is in picture
Answer:
< ABC+<QRS=180
m<QRS=180-140=40°
Answer:
Solution given:
<ABC+<QRS=180° {supplementary]
m<QRS=180°-140°=40° is your answer
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,142 was collected on the sale of 1,330 tickets. How many of each type of ticket were sold?
The basketball game sold
______adult tickets and
_______student tickets.
Answer:
453 adult tickets and 877 student tickets were sold.
Step-by-step explanation:
Given that adult tickets to a basketball game cost $ 5 and student tickets cost $ 1, and a total of $ 3,142 was collected on the sale of 1,330 tickets, to determine how many of each type of ticket were sold the following calculations must be performed:
5 - 1 = 4
1330 x 1 = 1330
3142 - 1330 = 1812
1812/4 = 453
1330 - 453 = 877
877 x 1 + 453 x 5 = X
877 + 2265 = X
3142 = X
Therefore, 453 adult tickets and 877 student tickets were sold.
HELP PLS WHOEVER ANSWERS ILL GIVE BRAINLIEST
Answer:
A: 30
B: y=30x+14
Step-by-step explanation:
A
The rate of change, or slope, can be found from any two points (x1,y1) and (x2,y2), using the formula (y2-y1)/(x2-x1).
Let's use the points (0,14) and (2.2,80):
slope = (y2-y1)/(x2-x1)
= (80-14)/(2.2-0)
= 66/2.2
= 30
B
The slope-intercept form of a linear equation is y=mx+c, where x and y are any co-ordinates on the line, m is the slope and c is the y-intercept. Since we already know our slope (30), we can just plug this and some point on the line (eg (0,14)) into the equation to find c:
y=mx+c
14=(30)(0)+c
14=0+c
c=14
Therefore our equation is y=30x+14
The four members of the Taylor family each buy an airplane ticket each member I had to pay an extra $30 fee for checking in luggage if the total cost of the trip is 540.50 what is the price of each plane ticket
Answer:
$105.13
Step-by-step explanation:
[540.50 - (4 x 30)]/4 = $105.125
Because the dividend is the same for all three expressions the larger the Divisor the__the quotient
Worth 100 points false info or just to take the points you will be reported
Is the following number rational, irrational, or nonreal.
Answer:
rational i just know it hope it helps you
Answer:
Rational
∛-8
=-2
plz mark me as brainliest.
Question 6 of 10 What is the slope of the line that contains the points (-2, 2) and (3, 4)? O A. 01N B. 5 C. 5 2 D. 2 SUBMIT
Answer:
I don't know what those answer choices are but the answer should be: [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
4-2 = 2
3 - (-2) = 5
Put the y values over the x
[tex]\frac{2}{5}[/tex]
someone please help me! show work if you can please!
Answer:
a. [tex]12\sqrt{3}[/tex]
b. [tex]144\sqrt{3}[/tex]
c. [tex]24+24\sqrt{3}[/tex]
Step-by-step explanation:
This rectangle is made up of two 30-60-90 right triangles, which have special properties that are worth memorizing for the future. Please see the attached picture.
Using this information, we can deduce that the top and bottom sides are equal to [tex]12\sqrt{3}[/tex].
From the properties of a rectangle we know that the right side is 12.
The diagonal is equal to [tex]12*2=24[/tex].
We can find the area by doing [tex]{12*12\sqrt{3}=144\sqrt{3}[/tex],
And the perimeter is equal to [tex]12+12+12\sqrt{3}+12\sqrt{3} =24+24\sqrt{3}[/tex]
Last year, Manual opened an investment account with $5400. At the end of the year, the amount in the account had increased by 28.5%. How much is this increase in dollars? How much money was in his account at the end of last year?
Emily grows flowers on part of her 2-acre farm. Her house
and barn cover half an acre, her vegetable gardens cover
1 1/4 acres, and her flower garden covers the rest of her
farm. She divides the flower garden into 16 equal-sized
plots and puts 4 kinds of flowers in each plot.
How large is each plot of flowers in Emily's garden?
Answer:
1/64 for each type f flowe
Step-by-step explanation:
The length of a rectangle is 4 inches longer than its width. The area of the rectangle is 32 inches square. What is the width ? The width is ___ inches
Answer:
I hope this helps dear
Step-by-step explanation:
P = 2(L + W) = 32 in
L = W + 4
2[(W + 4) + W] = 32 in ⇒
W = 6 in
L = W + 4 = (6 + 4) in = 10 in
A = LW = (10)(6) in2 = 60 in2