Answer:
x ≈ 5.9
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 2.7² = 6.5²
x² + 7.29 = 42.25 ( subtract 7.29 from both sides )
x² = 34.96 ( take the square root of both sides )
x = [tex]\sqrt{34.96}[/tex] ≈ 5.9 ( to 1 dec. place )
Which of the values below will make -3x + 15 > 102 true?
A. -27
B.-28
C. -29
D. All of the above
Answer:
C. -29Step-by-step explanation:
[tex]-3x + 15 > 102\\\\\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}\\\\-3x+15-15>102-15\\\\Simplify\\\\-3x>87\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-3x\right)\left(-1\right)<87\left(-1\right)\\\\Simplify\\\\3x<-87\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3x}{3}<\frac{-87}{3}\\\\Simplify\\\\x<-29[/tex]
A librarian wants to spend no more than $800 on some new desks and chairs for the library. The librarian decides to spend $320 on desks. If each chair costs $24, what is the maximum number of chairs the librarian can buy for the library and stay within the budget?
Answer:
20 chairs
Step-by-step explanation:
Since we are given the amount total budget and the total amount for the desks then the only variable missing is the maximum amount of chairs. This can be solved with the following equation in which s represents the number of chairs, and we simply solve for s.
800 = 320 + 24s ... subtract both sides by 300
500 = 24s ... divide both sides by 24
20.83 = s
Now we see that the maximum number of chairs that the librarian can buy is 20 because 21 would make her go over the budget and you cannot have 0.83 of a chair.
Answer:
The librarian can buy a maximum of 20 chairs to stay within the budget.
Step-by-step explanation:
The total budget is:
T = 800
From that budget, he spends 320 on desks (D), so he has the remaining amount to buy chairs (C):
[tex] C = 800 - 320 = 480 [/tex]
Since each chair costs 24, and he has 480 he can buy the following number of chairs:
[tex] n = \frac{C}{24} = \frac{480}{24} = 20 [/tex]
Therefore, the librarian can buy a maximum of 20 chairs to stay within the budget.
I hope it helps you!
PLEASE HELP ME If the mamba roller coaster at worlds of fun speeds up from 10mph to 78mph in 2s what is the acceleration?
PLEASE HELP MEEEEEE I WILL GIVE ALOT OF BRAINLIST
Answer:
with what
Step-by-step explanation:
we cant help u if we dont onow what it is
Answer:
How do i help?
Step-by-step explanation:
Help!!! what is -6+x+4=-5
Answer:
x = -3 (yes that's negative 3)
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Answer:
[tex] \sf \: x = - 3[/tex]
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ -6 + x + 4 = -5
Then the value of x will be,
→ -6 + x + 4 = -5
→ x + (-6 + 4) = -5
→ x + (-2) = -5
→ x - 2 = -5
→ x = -5 + 2
→ [ x = -3 ]
Hence, the value of x is -3.
HELP!
A stack of lumber is 6 feet wide, 4 feet high, and 2 feet long.
What is the volume of the stack?
Write the following equation in slope -intercept form : y - 3 = 4(x + 2)
Answer:
y=4x+11
Step-by-step explanation:
multiply 4 into the parentheses to get y-3=4x+8 then invert -3 so add three to both sides to get rid of it so instead of +8 its +11 so now its y=4x+11 and slope intercept is y=mx+b, so 4 is m, slope, and 11 is b, the y intercept i hope that helps
What are all the equivalent representations of 10 x 10 x 10
Answer:
10³
no need to thank me, it was easy
Which of the following is the correct value for x
The height of a small rock falling from the top of a 124-ft-tall building with an initial downward velocity of -30 ft/sec is modeled by
the equation h(t) = -16% - 30t + 124, where t is the time in seconds. For which interval of time does the rock remain in the air?
O
t = 2
-2
0
t> 2
Answer:
For the time interval 0 to 2 the ball is in the air.
Select the options according to this.
Step-by-step explanation:
The equation should be [tex]h(t)=-16t^{2} -30t+124[/tex]
Let's find the x intercepts to answer this question.
To find x intercept where the h(t) is 0.
[tex]-16t^{2} -30t+124=0[/tex]
Solve the equation for t.
Use quadratic formula to solve the equation.
a=-16
b=-30
c=124
[tex]x=\frac{-b+/- \sqrt{b^{2}-4ac } }{2a}[/tex]
Plug in the values of a, b and c into the formula
[tex]x=\frac{30+/-\sqrt{(-30)^{2}-4(-16)(124) } }{2(-16)}[/tex]
Simplify it
[tex]x=\frac{30+/- \sqrt{900+7936} }{-32}[/tex]
[tex]x=\frac{30+/-\sqrt{8836} }{-32}[/tex]
[tex]x=\frac{30+/-94}{-32}[/tex]
Simplify it to get two values for x
[tex]x=\frac{30+94}{-32} =-3.875\\\\x=\frac{30-94}{-32} =2[/tex]
x can not be negative, here x represents time t.
So, it starts from 0 and remains in the air for 2 seconds.
Answer:
Yo itś C
Step-by-step explanation:
:-)
A triangle has angle measurements of 139°, 27°, and 14°. What kind of triangle is it?
BRAINLIEST +16 points
(Plz respond before 11:59 and an explanation would be very appreciated)
7:
For a cylindrical grain silo, the dimensions are shown in the picture
provided. The weight in pounds, W, of the grain silage inside is generally given by..
W = 3300(40 - d), where d is the distance in feet from the top of the grain to the
top of the silo.
a.
-Use the distributive property to simplify the equation.
-Suppose d = 15 feet. What is the weight of the grain silo?
Answer:
we know that
volume of a grain silo=volume of a cylinder+volume of a hemisphere
volume of a grain silo=17000 ft³
volume of a cylinder=pi*r²*h
h=30 ft
volume of a cylinder=pi*r²*30----> 30*pi*r² ft³
volume of a hemisphere=(2/3)*pi*r³
so
17000=30*pi*r²+(2/3)*pi*r³-----> multiply by 3---> 51000=282.60*r²+6.28*r³
6.28*r³+282.60*r²-51000=0
using a graph tool
see the attached figure
the solution is
r=11.942 ft-------> r=11.9 ft
the answer is
The radius of the silo is 11.9 ft
What is the measure of JKL
Answer:
Did you insert a picture because I cant see one
solve the right triangle
round your answer to the nearest tenth.
Answer:
Use SOH-CAH-TOA method and figure out which sign you need. SOH- Sin, CAH- Cos, TOA- Tan.
Also,
SOH- opposite/hypotenuse
CAH- adjacent/hypotenuse
TOA- opposite/adjacent
Look at the angle and see which terms you have already. For example, if you had opposite the angle and the adjacent side, you would choose tangent because its TOA. Hope that helps!
Need help asap!!!!
What is the coefficient for 9x=18?
Answer:
If ur looking for the answer for x then its 2
Step-by-step explanation:
9 times 2 = 18
there u go
Keith has 500 in his bank account. He earns $25 per week. He wants to have at least $740 in his Account at the end of the summer. How many weeks Miss Keith work?
Answer:
9 more weeks
Step-by-step explanation:
because if you do 740-500 you get 240
so then i divide 240 by the money per week (25) and
get 9.6 so it is 9 weeks
Sara has 16 red flowers and 24 yellow flowers. She wants to make bouquets with the same number of each color flower in each bouquet.
Part A: What is the greatest number of bouquets she can make?
(Include the numerical answer only.)
Answer:
8
Step-by-step explanation:
make 8 bouquets: Each bouquet will have 2 red flowers and 3 yellow flowers.
A family is driving at a steady rate on their vacation. The graph shows the relationship between the time and distance from home. What is the constant of proportionality for this graph?
92 miles per hour
460 miles per hour
46 miles per hour
2/92 miles per hour
Answer:
46 miles per hour. I think I've haven't had a problem as easy as this so I was overthinking a lot
Step-by-step explanation:
in the graph the line is passing through points (2,92) and the time is going by two's so you just divide to get the constant
Answer:
46 miles per hour
Step-by-step explanation:
2x46=92
92÷2=46
92-46=46
4x+8y=20 and -2x+y=-15
System of equations?
Answer:
a
Step-by-step explanation:
In the diagram shown to the rig m
The probability of a randomly selected adult in one country being infected with a certain virus is 0.004. In tests for the virus, blood samples from 15 people are combined. What is the probability that the combined sample tests positive for the virus? Is it unlikely for such a combined sample to test positive? Note that the combined sample tests positive if at least one person has the virus.
Answer:
The probability is [tex]P(R) = 0.0583 [/tex]
Step-by-step explanation:
From the question we are told that
The probability that selected adults are affected by virus is p = 0.004
The probability that adults are not affected by virus is [tex]q= 1- p = 1-0.004 = 0.996[/tex]
The sample size is n = 15
Generally from the question we are told that
The probability that the combined sample tests positive is equal to the probability that at least one person test positive for the virus
So
The probability that the combined sample tests positive for the virus is equal to
1- the probability that non of the adults selected tested positive for the virus
Generally the probability that non of the adults selected tested positive for the virus is
[tex]P(k) = q^n[/tex]
=> [tex]P(k) = q^{15}[/tex]
=> [tex]P(k) = 0.996^{15}[/tex]
=> [tex]P(k) = 0.9417 [/tex]
The probability that the combined sample tests positive for the virus is mathematically represented as
[tex]P(R) = 1 - P(k)[/tex]
=> [tex]P(R) = 1 - 0.9417 [/tex]
=> [tex]P(R) = 0.0583 [/tex]
Select each inequality that 0 is a solution to. Q No. 2
-3(y - 1) > 3
2y - 4 0
y + 8 < 2y + 8
Answer:
Can you reformat?
So far, 0 is a solution to none of these.
Answer:
1. nope
2. not sure
3. nope
Step-by-step explanation:
1.
-3(y - 1) > 3
-3y + 3 > 3
-3y > 0
y > 0
0 is not a solution since 0 is not greater than 0
2.
I'm not sure what this question means, is there a [tex]\geq or \leq[/tex] between the 4 and the 0?
3.
y + 8 < 2y + 8
8 < 2y - y + 8
8 - 8 < y
0 < y
0 is not a solution because 0 is not greater than 0
im confused- I prolly got something wrong.
will make brainllest plz nobody who doesn't know how to solve these answer.
show work
2,4,6,8,10
assig 9
Step-by-step explanation:
its to much but i solved only 2 i hoped i help
PLSSS HELPPP I WILL GIVE BRAINLIESTTTT!!!!!!!
Answer: Domain is [1,3], Range is [304,391]
Step-by-step explanation:
Domain is just the x values the table has from lowest to highest. Period is the x values so domain is [1,3]
Range is the y values from lowest to highest the lowest y is 304 and highest is 391, so you use those two numbers to get [304,391]
PLEASE HELP IM CHECKING MY ANSWERS!!!
Answer:
y=5x
Step-by-step explanation:
yes your correct
A)
The average price of gas cost $3.27 per gallon in the year 2008. In 2020 the average price of gas is $2.15. What is the percent decrease?
Answer:
34.2508% decrease
Step-by-step explanation:
Percent decrease = 100 x (starting value-new value/starting value)
100 x ((3.27 - 2.15)/3.27)
Answer:
$1.12
Step-by-step explanation:
$3.27-$2.15=$1.12
$1.12 + $2.15= $3.27
I’ll mark brainliest
Which of the following are “high energy” bonds that contain such a large amount of stored chemical energy that the molecule they are part of can burn? Select all that apply
A) C-N
B) C-C
C) C-O
D) C-H
Answer:
cn
Step-by-step explanation:
jjbo;
Kate is baking pies for the teachers lunch at her school. She plans to give every teacher 16of a pie. She decides to bake10 pies.
Answer:
the answer is 260
Step-by-step explanation:
Just please help me Solve for h 2x+y=rh
Answer:
[tex]h = \frac{2x+y}{r}[/tex]
4. Parker has saved $1,200 for him and his
wife to go to an all-inclusive island resort.
He decides to take out a $1,000 simple
annual interest loan at 4.5% for 1 year
and stay in a suite. Is Parker being
financially responsible or financially
irresponsible? What is the monetary value
of his benefit or cost?
Answer:
To be honest i dont even know
Step-by-step explanation:
ummmm