Answer:
x = 3.58Step-by-step explanation:
[tex]e^{4x - 5}[/tex] - 7 = 11243[tex]e^{4x - 5}[/tex] = 11250ln [tex]e^{4x - 5}[/tex] = ln 112504x - 5 = ln 112504x - 5 = 9.33 (rounded)4x = 14.33x = 14.33 / 4x = 3.58 (rounded)Answer:
x = 3.58 (2 d.p.)
Step-by-step explanation:
Given equation:
[tex]e^{4x-5}-7=11243[/tex]
Add 7 to both sides:
[tex]\implies e^{4x-5}-7+7=11243+7[/tex]
[tex]\implies e^{4x-5}=11250[/tex]
Take natural logs of both sides:
[tex]\implies \ln e^{4x-5}=\ln 11250[/tex]
[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]
[tex]\implies (4x-5)\ln e=\ln 11250[/tex]
As ln(e) = 1:
[tex]\implies 4x-5=\ln 11250[/tex]
Add 5 to both sides:
[tex]\implies 4x-5+5=\ln(11250)+5[/tex]
[tex]\implies 4x=\ln(11250)+5[/tex]
Divide both sides by 4:
[tex]\implies \dfrac{4x}{4}=\dfrac{\ln(11250)+5}{4}[/tex]
[tex]\implies x=\dfrac{\ln(11250)+5}{4}[/tex]
Using a calculator:
[tex]\implies x=3.582030852...[/tex]
Therefore:
[tex]\implies x=3.58\:\: \sf (2 \: d.p.)[/tex]
Learn more about log laws here:
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Evaluate the expression below for x = 4 6 (x +7)
Answer:
D. 66
Step-by-step explanation:
6×(4+7)
6×11
=66
Suzanne pours 260 mL of milk into her glass.
Which expression shows how Suzanne could find this amount of milk in liters?
Answer:
1 L = 1000 mL
Step-by-step explanation:
B. 260 × 100
Triangle 1 has known angles of 36° and 64º.
Triangle 2 has known angles of 64º and xº.
Select all the values of x that would make two triangles similar to each other
Answer:
so the three sides of same triangle have 36°,64° or 64°
we know the total sum of angles of triangle is 180 then
here to find x
so if we add all the 3 triangle and - (subtract) it with 180° = remaining side
now 36°+64°+64°= 164
now. x= 180-164= 16°
select the compound inequality shown on the graph.
Which expression is equivalent to 34(4h - 6)?
) 3h -92
) 4h +92
) 3h - 6
) 4h + 6
Answer:
Step-by-step explanation:
136h-24 which is not listed in your choices
If the line containing the points in the table is plotted on a coordinate system, what does the
graph look like?
Answer:
90
Step-by-step explanation:
Could someone answer this please?
Answer:
I think its false
Step-by-step explanation:
I've tried every strategy there is no way there could be a function
Answer:
I think its false
Step-by-step explanation:
cuz it's not a function
PLZ HELPPPP !!!
What is the height of a cone that has a volume of 90 mand has a radius of 3.5 m?
Answer:
Step-by-step explanation:
Calculate the volume of a cone by its base and height with the equation volume = 1/3 * base * height. You can calculate the height of a cone from its volume by reversing this equation. Triple the volume amount. For this example, the volume is 100.
PLEASE HELP ILL GIVE BRAINLIEST
You walked 30 miles in 6hours. What was your average speed? a. 5mph b.80 mph c. 24mph d. 18 mph
Answer:
5 mph.
Step-by-step explanation:
5x6 equals 30. 30 divided by 6 equals five. Hope it helps
Answer:
A. 5mph
Step-by-step explanation:
30m = 6h
/6 /6
5m = 1h
5mph
6_7/8 Rename the mixed number by regrouping?
Answer:
We have 5 slices and
each whole is made up
of 4 slices,
.
We have 6 slices and
each whole is made up
of 4 slices,
.
Altogether, we have 2
wholes and 3 quarters,
Step-by-step explanation:
Step 1: Keep the denominator the same.
Step 2: Add or subtract the numerators.
Step 3: If the answer is an improper form, reduce the fraction into a mixed numbe
Shannon is purchasing a government bond with a par value of $800 and a price quote of 101.524%. What is the price of the bond?
Answer: $812.192
Step-by-step explanation:
The price of the bond will be gotten by multiplying the par value by the price quote. This will be:
Price of bond = Par value × Price quote
Price of bond = $800 × 101.524%
Price of bond = $800 × 1.01524
Price of bond = $812.192
Therefore, the price of the bond is $812.192.
for what value of x does the function have an output of -7, given that g(x) = -3x + 8
Answer:
X=5
Step-by-step explanation:
-3x+8=-7
-3x=-15
X=5
Clyde drew a map of his neighborhood. In the scale that Clyde used for his map, 0.5cm represented one mile. On Clyde’s map the distance between his house and his school is 1.5cm. What is the actual distance between Clyde’s house and his school?
Answer:
3miles
Step-by-step explanation:
if you add .5+.5+.5=1.5. so you added .5 to itself 3 times to get the answer
Mr. Mims had 50 bags of chips. He gave away 37 bags. What percent of the bags did he give away?
Answer:
74%
Step-by-step explanation:
How I did it is divided 37 and 50 (37/50 = 0.74)
Hiii, I would love it if you can help me with these! I tried my best but it's really hard and I don't understand.
Answer:
First one i think is C and the second one is A it was easy
Step-by-step explanation:
100 POINTS PLEASE ANSWER QUICK
Answer:
c the answer is c
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
Mark as Brainllest
help please!! (don't answer if u don't know)
Answer:
Step-by-step explanation:
number 2
the second one!
NO LINKS plz help
The hypotenuse of a right triangle measures 16 cm and one of its legs measures 7 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
14.4
Step-by-step explanation:
16^2 - 7^2 = root of 207
What do rhombuses always have
Answer:
A, B, and D
Step-by-step explanation:
What is the area of the shaded part ? Take(π=22/7)
Answer:
Given:
radius of bigger half circle[R]=(7+7+14)/2=14cm
radius of smaller half circle [r]=14/2=7cm
Area of shaded region =1/2[πR² -πr²]
=1/2×22/7×[14²-7²]=231cm²
Area of shaded region=231cm²
20 POINTS PLS FAST
Which situation could NOT represent a proportional relationship?
A The amount a babysitter who makes $7.50 per hour earns in h hours
B The cost of purchasing p pounds of oranges for $1.35 per pound
C The number of gallons of water in x barrels with 13 gallons of water in each barrell
D The weight in x weeks of a cat that gains 1 pound per week if its starting weight is 4 pounds
Answer:
d
Step-by-step explanation:
i think its d
answer CORRECTLY for brainleist if u put a link i will report u ! thx have a bleesed night all ;)
Answer:
132 cm squared
Step-by-step explanation:
for the two triangles 8 times 3 divided by 2 is 12 times 2 for two triangles equals 24
the two side rectangles easy just do 5 times 6 and it equals 30 times two because there is 2 and you get 60
the bottom rectangle do the same thing except 6 times 8 and there is only one so 48
add all areas together to get 132
The equation of a line is 3x−5y=8. Select three lines that are parallel to the given line.
Answer:
The Given Equation is
3x - 5y = 8
Slopes of paralell lines are equal
So option 3, 4, 5 are correct
--------------
Hope it helps..
Have a great day!!!
All the equation of lines that are parallel to the given line are,
10y = 6x + 12
12x - 20y = 24
3x - 5y= 1
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Equation of parallel line is,
⇒ 3x - 5y = 8
Slope of parallel lines are,
⇒ m = 3/5
Now, We know that;
Slope of parallel lines are same ton each other.
For equation 1;
5x - 3y = 1
3y = 5x - 1
y = 5/3x - 1
dy/dx = 5/3
For equation 2;
9x - 10y = 16
10y = 9x - 16
y = 3/5x - 1
dy/dx = 3/5
For equation 3;
10y = 6x + 12
y = 6/10x + 12
dy/dx = 6/10 = 3/5
For equation 4;
12x - 20y = 24
20y = 12x - 24
y = 12/20x - 1
dy/dx = 12/20 = 3/5
For equation 5;
3x - 5y = 1
5y = 3x - 1
y = 3/5x - 1
dy/dx = 3/5
Thus, All the equation of lines that are parallel to the given line are,
10y = 6x + 12
12x - 20y = 24
3x - 5y= 1
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Tori has a cell phone plan that charges $0.09 for each text message sent. Tori plans to spend no more than $40 per month on texting bill each month. If c(t) = 0.09t represents the total
mumber of text (that you send each month.
The domain of the function is x
Answer: [tex]t<444.44[/tex]
Step-by-step explanation:
Given
Texting bill is given by [tex]c(t)=0.09t[/tex]
Spending must be less than [tex]\$40\ \text{per month}[/tex]
So, text billing must be less than $40
[tex]\therefore 0.09t<40\\\\\Rightarrow t<\dfrac{40}{0.09}\\\\\Rightarrow t<444.44[/tex]
5) A grocery store paid $147.98 for 7 crates of milk. This can be
expressed by the equation Y=KX. How much was it for one
crate?
Please help !
find the solution of given expression,
[tex] \sqrt{72 \times 2} [/tex]
Answer:
Solution given:
[tex] \sqrt{72 \times 2} [/tex]
[tex] \sqrt{144} [/tex]
[tex] \sqrt{12²} [/tex]
±12 is a required answer m
Are the ratios 4:1 and 14:3 equivalent?
Answer:
False
Step-by-step explanation:
NO they are not equivalent
which expression represents 12x³-6x²+2x /
2x in simplest form?
Answer:
[tex]6x^{2} -3x+1[/tex]
Step-by-step explanation:
[tex]2x(6x^{2} -3x+1)/2x\\[/tex]
cancel 2 x
[tex]6x^{2} -3x+1[/tex]
características de una
función de seno
Answer:
Son funciones periódicas con un período de. 2 π. ... La gráfica de y = sin x y = sin x es simétrica con respecto al origen, porque es una función impar. La gráfica de y = cos x y = cos x es simétrica con respecto al eje y, porque es una función par.
Step-by-step explanation:
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What is the image of (-4,-4) after a dilation by a scale factor of 3 centered at the
origin?
Answer:
(-12, -12)
Step-by-step explanation:
Since the scale factor is 3, you would multiply the x-coordinate and y-coordinate by it.
-4×3=-12
Hope this helps!!