Answer:
[tex]2.3x+1.4=8.5[/tex], width = 3.087 feet.
Step-by-step explanation:
Let as consider width of the door be x feet.
It is given that height of a door is 1.4 feet more than 2.3 times its width. So,
[tex]Height=2.3x+1.4[/tex]
The height of the door is 8.5 feet.
[tex]2.3x+1.4=8.5[/tex]
Therefore, the required equation is [tex]2.3x+1.4=8.5[/tex].
[tex]2.3x=8.5-1.4[/tex]
[tex]2.3x=7.1[/tex]
[tex]x=\dfrac{7.1}{2.3}[/tex]
[tex]x\approx 3.087[/tex]
So, the width of the door is about 3.087 feet.
Solve for x: 2x^5/3-22=464 a) x = 28 b) x = 27 c) x = ±27 d) x = ±28
Answer:
x = 27Step-by-step explanation:
Given the expression [tex]{2x^{\frac{5}{3} }-22 = 464[/tex], we are to find the value of x in the expression. This is as shown below;
[tex]{2x^{\frac{5}{3} }-22 = 464[/tex]
add 22 to both sides
[tex]{2x^{\frac{5}{3} }-22 = 464+22\\\\[/tex]
[tex]{2x^{5/3} =486[/tex]
divide both sides by 2
[tex]\frac{2x^{5/3}}{2} =\frac{486}{2}\\ x^{5/3} = 243[/tex]
raise both sides to the power of 3/5
[tex](x^{5/3})^{3/5} = (243)^{3/5}\\x = (\sqrt[5]{243}) ^3\\x = 3^3\\x = 27[/tex]
Hence the value of x is 27
I need help to find the slope of the line
At the store, Jason find the volume of a soda pack is 423.9 in.³. If each cylinder shaped can has a height of 6 inches and a diameter of 3 inches, how many soda cans are in a pack? (Use 3.14 for pi)
Answer : The correct option is, (A) 10
Step-by-step explanation :
First we have to calculate the volume of cylinder shaped can.
Formula used:
Volume of cylinder = π r² h
where,
r = radius of cylinder
h = height of cylinder
Given:
Diameter of cylinder = 3 in
Height of cylinder = 6 in
Radius of cylinder = [tex]\frac{Diameter}{2}=\frac{3in}{2}=1.5in[/tex]
Now putting all the given values in the above formula.
Volume of cylinder = π r² h
Volume of cylinder = 3.14 × (1.5 in)² × 6 in
Volume of cylinder = 42.39 in³
Now we have to determine the number of soda cans are in a pack.
Number of soda cans are in a pack = [tex]\frac{\text{Volume of soda pack}}{\text{Volume of cylinder shaped can}}[/tex]
Number of soda cans are in a pack = [tex]\frac{423.9in^3}{42.39in^3}[/tex]
Number of soda cans are in a pack = 10
Therefore, the number of soda cans in a pack are 10.
What are quadratic binomial
Answer:
A quadratic binomial is a second degree binomial, such as 3x2+2.
Eli has 7 games on his phone. His sister has 6 more than him. Which ratio compares the number of games on Eli’s phone to the number of games on his sister’s phone?
a. 6:13
b. 7:13
c. 6:7
d. 7:6
Answer:
B: 7:13
Step-by-step explanation:
Answer:
7:13
i get it correct on the work sheet
Officer Brimberry wrote 24 tickets for traffic violations last week, but only 9 tickets this week. What is the percent decrease? Give your answer to the nearest tenth of a percent Help me please
Amount of decrease: 24 - 9 = 15
Percent of decrease = (15 / 24) x 100
Percent = 62.5%
Add 7, .8,.6 Add 35.15,14.18,7.16 Add .8,5,.7
Answer:
(a) 8.4
(b) 56.49
(c) 6.5
Step-by-step explanation:
Question 1:
7 + 0.8 + 0.6
7.8 + 0.6
8.4
Question 2:
35.15 + 14.18 + 7.16
49.33 + 7.16
56.49
Question 3:
0.8 + 5 + 0.7
5.8 + 0.7
6.5
Answer:
8
Step-by-step explanation:
bc is write
Is the square root of 8 closer to 2 or 3?
It is more closer to 3.
[tex]Explanation[/tex]
___________________________________________________________
[tex]1.[/tex] Find the square root of 8.
√[tex]8= 2.8[/tex]
[tex]2.[/tex] Figure out if 2.8 is closer to 2, or 3.
2.8 is closer to 3 than 2.
Which phrase matches the algebraic expression below?
2(x - 7) + 10
Answer:
Combining like terms
Step-by-step explanation:
evaluate 3 + 6 x 4 - 16/2
Answer:
19
Step-by-step explanation:
Please help!! Thanksss
Answer:
b
Step-by-step explanation:
complimentary which means both angles are the same and on the opposite sides of each other
im not sure if the explanation is correct but im pretty sure the answer is
At a convention there are 7 math instructors, 5 computer science instructors, 3 statistics instructors and 4 science instructors. If an instructor is selected at random, find the probability of selecting a math or science instructor. (Write your answer as a decimal, rounded to the nearest hundredth.)
Answer:
11/19
Step-by-step explanation:
Help i dont understand pls help :(
Answer:
B. -2
Step-by-step explanation:
All you have to do is look at 2 on the x axis and see where it lines up on the graph with the y axis. In this case, when you trace the line of 2 it matches up with -2 on the graph.
An equilateral triangle measures 3 1/2 inches on one side.what is the perimeter of the triangle
Answer:
10.5 inches
Step-by-step explanation:
Equalilateral triangle means all the 3 sides are equal
So perimeter of equilateral triangle=3(side)
=>3(3.5)
=>10.5
what is 0.26 rounded to the nearest tenth.
Answer:.3
Step-by-step explanation: if it is 5 or above it rounds up
Jade receives total employment 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. $51,087
Answer:
A. $71,087
Step-by-step explanation:
The name jade and Mary contradict each other, let's assume both jade and Mary refers to the same person
Jade receives job benefits of 17.5% of her annual gross pay
Jade has an annual gross pay of $60,500
how much in total job benefits does she receive?
Total job benefits received = 17.5% of $60,500 + $60,500
= (17.5 / 100 * 60,500) + 60,500
= (0.175 * 60,500) + 60,500
= 10,587.5 + 60,500
= $71,087.5
The rounded value closest to the answer in the option is $71,087
f(x) = (2x + 1)(x - 2)(x + 3)
Answer:
f(3) = 42.
Y-intercept is (0, -6).
X-intercepts are (-0.5, 0), ( 2, 0) and (-3, 0).
Step-by-step explanation:
f(3) = (2(3) + 1)(3 - 2)(3 + 3)
= 7 * 1 * 6
= 42.
The y intercept occurs when x = 0:
y-intercept = (2(0) + 1)(0 - 2)(0 + 3)
= 1 *-2*3
= -6.
Calculate the x-intercepts:
(2x + 1)(x - 2)(x + 3) = 0 so
(2x + 1) = 0 or (x - 2) = 0 or (x + 3) = 0
So x = -0.5, 2 or -3.
use the graph of f(x) to graph y= f(x+1)-2
A Ferris wheel at a carnival has a radius of 38 feet. Suppose a passenger is traveling at 5 miles per hour. (A usual fact: 1 mi = 5280 ft).A) Find the angular speed of the wheel in radians per minute.B) Find the number of revolutions the wheel makes per hour.
Answer:
a
[tex]w = 11.58 \ rad/minutes[/tex]
b
[tex]R_h = 111 \ revolution\ per \ hour[/tex]
Step-by-step explanation:
From the question we told that
The radius of the wheel is [tex]r = 38 \ ft[/tex]
The speed of the passenger is [tex]v = 5 \ miles /hr = \frac{26400}{3600} = 7.33 \ ft / s[/tex]
Generally the angular speed is mathematically represented as
[tex]w = \frac{v}{r}[/tex]
=> [tex]w = \frac{7.3}{ 38}[/tex]
=> [tex]w = 0.193 \ rad/s[/tex]
now converting the seconds to minutes
[tex]w = 0.193 *60[/tex]
[tex]w = 11.58 \ rad/minutes[/tex]
Generally number of revolutions the wheel makes per minutes is mathematically represented as
[tex]R = \frac{11.58 }{2 \pi}[/tex]
[tex]R = 1.84 \ rpm[/tex]
Generally number of revolutions the wheel makes per hour is mathematically represented as
[tex]R_h = R * 60[/tex]
=> [tex]R_h = 1.84 * 60[/tex]
=> [tex]R_h = 111 \ revolution\ per \ hour[/tex]
Use graphing technology to find the range of the function f(x)=2^x
.
Look at the graph, which y values can the graph hit?
Anything above zero would be the right answer, since there is an asymptote at [tex]y=0[/tex].
So the range would be [tex]y>0[/tex]
Hope this helps.
頑張って!
A nurse is preparing to administer dopamine 2 mcg/kg/min by continuous IV infusion for a client who weighs 110 lb. Available is dopamine
400 mg in 250 mL of D5W. The nurse should set the IV pump to deliver how many ml/hr administer? (Round the answer to the nearest
tenth.)
Answer:
3.7ml/hr
Step-by-step explanation:
From the question
A nurse is preparing to administer dopamine 2 mcg/kg/min by continuous IV infusion
Step 1
The patient weighs 110lb(pounds
Convert the patients weight to kilogram
1 lb = 0.454kg
110lb =
Cross Multiply
110lb × 0.454kg
= 49.94kg
The patient weight = 49.94kg
Step 2
The dosage to to be administered by the nurse = 2 mcg/kg/min
If 1 kg = to be administered 2mcg/min
49.94 kg =
(49.94kg × 2mcg/min)/1
= 99.88mcg/min
Therefore, for the patient's body weight, the patient's dosage = 99.88mcg/min
Step 3
Available dopamine is 400mg in 250ml
We have to convert this to mcg
Hence,
1 mg = 1000mcg
400mg =
Cross Multiply
= 400mg × 1000mcg
= 400000mcg
Hence, the available dopamine is administer in 250ml/400000mcg
Part 3
Since 60 minutes is 1 hour
The nurse should set the IV pump to deliver how many ml/hr
(99.88mcg/min × 250ml × 60mins)/ 400000mcg
= 3.7455ml/hr
Approximately to the nearest tenth = 3.7ml/hr
If 50 percent of the families in a certain city subscribe to the morning newspaper, 65 percent of the families subscribe to the afternoon newspaper, and 85 percent of the families subscribe to at least one of the two newspapers. What percentage of the families subscribe to both newspapers?
Answer: 30%
Step-by-step explanation:
Given, Percent of families subscribe to the morning newspaper = 50%
Percent of families subscribe to the afternoon newspaper = 65%
Percent of families subscribe to at least one of the two newspapers. = 85%
Now, percentage of the families subscribe to both newspapers = % for morning newspaper + % for afternoon newspaper - % for at least one of the two newspapers
= (50+65 - 85) %
= 30 %
Hence, the percentage of the families subscribe to both newspapers = 30%
One cup of yogurt contains 13 g of protein. Convert this to milligrams
Answer: 13000.00mg :) hope this helps
10 − 2(22 + 1) ÷ 23
help me pls thanks
Answer:
8
Step-by-step explanation:
1/2 - 1/5
I don’t know how to do these problems
Answer: 3/10
Step-by-step explanation: Since our denominators of 2 and 5have no
factors in common, our least common denominator is 2 · 5 or 10.
In order to get a denominator of 10 in each fraction,
we multiply top and bottom of the first fraction by 5
and top and bottom of the second fraction by 2.
That gives us 5/10 - 2/10 which is 3/10.
21+6x; x= -2 evaluate
Steps to solve
21 + 6x when x = -2
~Substitute
21 + 6(-2)
~Simplify
21 - 12
~Subtract
9
Best of Luck!
What number should be placed in the box to help complete the division calculation of 2635 divided by 17
Answer:
divided
Step-by-step explanation:
divided 26 goes into 17. than right your numder up tope. that is hoow you divited it is easy just try.
what is the average rate of change
Answer:
The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
It is a measure of how much the function changed per unit, on average, over that interval.
WILL GIVE BRAINLIEST! Prove that a quadrilateral ABCD with vertices A(–1, –2), B( 2, –5), C(1, –2), and D( –2, 1) is a parallelogram. Find the point of intersection of the diagonals of parallelogram ABCD. Provide your complete solutions and proofs in your paper homework and enter the numeric answers online.
Answer:
(0,-2)
Step-by-step explanation:lol rsm hw
ok so just take average of two points (-1, -2) (1, -2)
-1+1=0/2=0
-2+(-2)=-4/2=-2
You can do this with B and D too
Have fun in rsm
By substituting in the values of the variables, complete the addition number sentence that corresponds to the diagram below,
Answer:
[tex] a + b + c = 5 + 6 + 11 = 22 [/tex]
Step-by-step explanation:
Variable "a" and "b" represents distances on the numberline.
Variable "c" is the combined distance of the values of variable "a" and variable "b" on the numberline.
a = length of red line = |5 - 0| = |5| = 5
b = length of blue line = |11 - 5| = |6| = 6
c = length of black line (red+blue) = |11 - 0| = |11| = 11
Therefore:
[tex] a + b + c = 5 + 6 + 11 = 22 [/tex]