- 30 - 2³ × 3
= - 30 - 8 × 3
= - 30 - 24
= - 54
Follow the order of PEMDAS.
P =》Parenthesis
E =》Exponents
M =》Multiplication
D =》Division
A =》Addition
S =》Subtraction
____
Hope it helps ⚜
The distance required for a car to stop is directly proportional to the
square of its velocity. If a car can stop in 112.5 meters at 15 kilometers
per hour, how many meters are needed to stop at 25 kilometers per hour?
Answer:
312.5 m
Step-by-step explanation:
let distance be d and velocity be v , then
d = kv² ← k is the constant of variation
To find k use the condition d = 112.5, v= 15
112.5 = k × 15² = 225k ( divide both sides by 225 )
0.5 = k
d = 0.5v² ← equation of variation
When v = 25 , then
d = 0.5 × 25² = 0.5 × 625 = 312.5 m
Using the scale 1/2 inch = 100 miles, figure out the number
of actual miles represented by 1/4 inches.
Answer:
50 miles
Step-by-step explanation:
Multiply the given scale numbers by 1/2 to find your answer:
1/2 in = 100 mi
(1/2)(1/2 in) = (1/2)(100 mi) . . . . multiply the ratio values by 1/2
1/4 in = 50 mi
Determina el lado faltante de cada triángulo presentado emplea dos cifras decimales
Listamos los lados faltantes a continuación:
[tex]c \approx \sqrt{34}\,cm[/tex] [tex]z \approx 5.098\,cm[/tex] [tex]p = 5\,cm[/tex] [tex]l\approx 3.680\,cm[/tex]El teorema de Pitágoras establece que la medida de la hipotenusa ([tex]c[/tex]), en centímetros, de un triángulo rectángulo es igual a la raíz cuadrada de la suma de los cuadrados de los catetos ([tex]a,b[/tex]), en centímetros. La fórmula se encuentra expresada a continuación:
[tex]c^{2} = a^{2}+b^{2}[/tex] (1)
La hipotenusa es el lado de mayor longitud del triángulo, los catetos son los dos lados restantes.
A continuación, procedemos a resolver cada caso:
1) [tex]a = 3\,cm[/tex], [tex]b = 5\,cm[/tex]
[tex]c = \sqrt{a^{2}+b^{2}}[/tex]
[tex]c = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}}[/tex]
[tex]c \approx \sqrt{34}\,cm[/tex]
2) [tex]x = 6.8\,cm[/tex], [tex]y = 4.5\,cm[/tex]
[tex]z = \sqrt{x^{2}-y^{2}}[/tex]
[tex]z = \sqrt{(6.8\,cm)^{2}-(4.5\,cm)^{2}}[/tex]
[tex]z \approx 5.098\,cm[/tex]
3) [tex]n = 13\,cm[/tex], [tex]m = 12\,cm[/tex]
[tex]p = \sqrt{n^{2}-m^{2}}[/tex]
[tex]p = \sqrt{(13\,cm)^{2}-(12\,cm)^{2}}[/tex]
[tex]p = 5\,cm[/tex]
4) [tex]m = 2.7\,cm[/tex], [tex]s = 2.5\,cm[/tex]
[tex]l = \sqrt{m^{2}+s^{2}}[/tex]
[tex]l = \sqrt{(2.7\,cm)^{2}+(2.5\,cm)^{2}}[/tex]
[tex]l\approx 3.680\,cm[/tex]
Para aprender más sobre el teorema de Pitágoras, invitamos cordialmente a ver esta pregunta: https://brainly.com/question/343682
jim writes 10/4words evry day how many words does he write in 10/3 days
Answer:
10/4 per day (2.5 words simplified)
10/3 days he wrote so far (around 3 days simplified)
so in order to find out how much he wrote in total multiply the two numbers together
2.5 x 3 = around 7.5 or 8 words
the selling price for a pair of jeans is 39.98. There is a 4.5% sales tax on all purchases. How much would it cost to buy the jeans?
Answer:
$41.78
Step-by-step explanation:
tax is 4.5% on top of original price of 39.98
so multiplying 39.98 by 1.045 gives us 41.78
you multiply by 1.045 because 4.5% is the same as 0.045 and the 39.98 represents 100% of the price so it is 1 and you are paying 104.5% of that price for it when tax is included
The graph of a proportional relationship passes through (12, 16) and (1, y). Find y.
Answer:y=16
Step-by-step explanation:
help me with this question plzzzzzzz
Answer:
The base is 9.4 milliliters
Step-by-step explanation:
First, you would notice that they give you the perimeter of it. Meaning 51.4 was a sum of adding the height and base length twice. So you would take 51.4 and subtract 16*2 from it. Which would be 19.4. Next, since 19.4 would be both bases added, and they are both the same, you would do 19.4/2=9.4
The base is 9.4 milliliters.
Answer:
9.7
Step-by-step explanation:
P=2B+2H=51.4
B+H=25.7
H=16
B=25.7-16
B=9.7
Jamal bought a concert ticket online for $57. He used a coupon code to get a 40% discount. The website also applied a 20% processing fee to the price after the discount. How much was the processing fee? Round to the nearest cent.
Answer:
$41.04
Step-by-step explanation:
57-40%(22.8)=34.2
34.2+20%(6.84)=41.04
please i need help asap
Answer: d. Shift units up
Step-by-step explanation:
f(x) = 3^x + 2 means that it must go up by two units.
Meriel works in a lab and needs to measure 7.5 grams of a substance with a percent error of less than
5%. What is the smallest and largest amount they can measure to stay under this percent error?
Answer:
Step-by-step explanation:
A common way of measuring the mass of objects is to use balance scales. A balance scale works by placing the object you want to weigh on one side and adding gram masses to the other side until the scales are level. Masses for weighing usually come as 1 g, 5 g, 10 g, 20 g or more!
the sample space is 1,2,3,4,5,6 find p less than 0
Answer:
boom bam bam boom bam ba
What time is four past eight at night
Answer:
8:04 pm
Step-by-step explanation:
Answer:
8:04
Step-by-step explanation:
8 o'clock and four minutes past 8 is 8:04.
Given: RS is the perpendicular bisector of AB
Prove: RA ≅ RB
Answer:
See answer below
Step-by-step explanation:
RS ⊥ bisector of AB Given
AS ≅ BS Definition of ⊥ bisector
∠RSB is a right angle Given
∠RSB = 90° Definition of right angle
∠RSB & ∠RSA form a linear pair Definition of linear pair
∠RSB + ∠RSA = 180 A linear pair = 180°
90° + ∠RSA = 180° Substitution
∠RSA = 90 Subtraction
∠RSB = ∠RSA Substitution
∠RSB ≅ ∠RSA If equal then congruent
RS ≅ RS Reflexive
Δ RAS ≅ ΔRBS SAS
RA ≅ RB CPCTC (corresponding parts of
congruent triangles ≅
Which equation is equivalent to the formula m = ca? a = cm a equals m over c c = am c equals a over m.
Answer:
a = m/c
Step-by-step explanation:
I translated the paragraph into these options. Please check accuracy.
m = ca?
a = cm No, a = m/c
a = m/c Yes
c = am No, c = m/a
c = a/m No, c = m/a
The option b which is [tex]a=\dfrac{m}{c}[/tex] is correct answer.
Given to us:
[tex]m=ca[/tex]
dividing both sides by c, we get
[tex]m=ca\\\\\dfrac{m}{c}=\dfrac{ca}{c}[/tex]
canceling c from right hand side, we get
[tex]\dfrac{m}{c}=a \\\\a=\dfrac{m}{c}[/tex]
Therefore, the option b which is [tex]a=\dfrac{m}{c}[/tex] is correct answer.
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10a + 4 =
........................................
A 6th grade class did a weekend fitness challenge. Each student set a goal of `75` minutes of fitness. Luca exercised for `54` minutes. What percent of the goal did he achieve?
Answer:
The answer is 72%
Step-by-step explanation:
[tex]\frac{54}{75} = 72[/tex]
54 out of 75 is a percentage of 72%.
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The percentage of the goal did he achieve will be 72%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
A sixth-grade class did an end-of-the-week wellness challenge. Every understudy put forth an objective of '75' minutes of wellness. Luca practiced for '54' minutes.
The percentage of the goal did he achieve will be calculated as,
P = (54 / 75) x 100
P = 0.72 x 100
P = 72%
The percentage of the goal did he achieve will be 72%.
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Name two transformations that result in Figure ABCD being transformed back onto itself.
Answer:
(b) rotate 180°, then reflect across x and y axes
Step-by-step explanation:
A rotation of 180° cannot be "undone" by translation, or by reflection across the same line twice.
Reflection across the x- and y-axes, in either order, is equivalent to a rotation of 180° (or reflection across the origin). This pair of reflections will "undo" the rotation of 180°, putting the figure back in its original position
The transformation to map the figure to itself are ...
rotation 180°, reflection across the x-axis, reflection across the y-axis
Burt ran the length of the trail in his town’s park. There are 9 parts to the trail, and each part is the same length. Burt ran a total of 1.8 kilometers.
What is the length of each part of the trail?
Answer:
.2 kilometers
Step-by-step explanation:
Since there are 9 parts to the trail and the total is 1.8 kilometers, just divide the total by how many parts. 1.8 divided by 9 is .2 so the length of each part of the trail is .2 kilometers
Help would be appreciated!
Answer:
Half of AB which is A.F is 14 then the other half is 14 as well which would have a sum of 28, and since CD is congruent to AB that will also have a sum of 28 degrees.
(I don't know how to calculate the perimeter for the second question)
Answer:
Answer: 28
Step-by-step explanation:
A+F=14 * 2 for B and since they are congruent it would be 14*2 so 28.
what is the answer for this question 7(x+4)-7=48-2x
Answer:
3
Step-by-step explanation:
Expand
7x+28-7 = 48-2x
Simplify
7x+ 21 = 48-2x
Solve
Take 21 away from both sides
7x = 27-2x
Add 2x to both sides
9x = 27
Divide by 9 to find x
x = 3
Which of the following are solutions to the equation below?
Check all that apply.
(3x - 5)2 = 19
=
A. x= -V19+
B. X= -
V14
3
O c. x=
114
3
O D. x= -119 +5
3
E. x = V19+
+
3
V19 +5
O F. X=
3
The solutions are x = (5 + √19)/3 and x = (5 - √19)/3. These match options E and F in your question.
What is the solution for an equation?The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.
We are given that;
The function (3x - 5)2 = 19
Now,
To find the solutions to the equation (3x - 5)^2 = 19, we need to use the following steps:
Take the square root of both sides to get 3x - 5 = ±√19
Add 5 to both sides to get 3x = 5 ±√19
Divide both sides by 3 to get x = (5 ±√19)/3
Therefore, the solutions of the equations will be x = (5 + √19)/3 and x = (5 - √19)/3.
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divide (3x^3 + x2 – 4) by (x + 2).
Answer:
[tex](x+2)(3x^3-5x-10)[/tex]
Step-by-step explanation:
If you don't know how to divide polynomials then I can help with that too or you can just search it up
what triangle does the pythagorean theorem relate to
Answer:
Right Triangle
Step-by-step explanation:
I hope this helps!
25 added to the difference between Y and 7
Answer:
(y-7) +25
Step-by-step explanation:
( y-7 ) +25
25 is added after the difference. so that's only the answer.
Liam bought 5 7/8 pounds of steak. He used 2 1/16 pounds of steak for a cookout.
The pounds of steak remaining after the cookout is 3 13/16 pounds
Given:
Total steaks bought = 5 7/8
Steaks used for cookout = 2 1/16
Total steaks remaining = Total steaks bought - Steaks used for cookout
= 5 7/8 - 2 1/16
= 47/8 - 33/16
= (94-33) / 16
= 61/16
= 3 13/16 pounds
Therefore, the pounds of steak remaining after the cookout is 3 13/16 pounds
Learn more about fraction:
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can someone help me with this
Answer:
Step-by-step explanation:
Write an inequality that represents the graph
Step-by-step explanation:
first step is to define the line, and then, secondly find the right direction of the inequality.
we see a few nice points with integer coordinates.
the one on the y-axis is particularly helpful (0, 1), as it gives up the y- intercept right away (1).
another point is (1, 3).
so, the slope is
x changes by +1 (from 0 to 1)
y changes by +2 (from 1 to 3)
so the slope is 2/1 = 2
that means our equation is
y = 2x + 1
the graph says that the inequality is everything bigger than the line value, and the line is not included (dashed line).
so, we get
y > 2x + 1
Graph the solution to this inequality on the number line.
w−0.8>−2.4
First select the correct ray. Then select the location of the endpoint to plot the inequality on the number line.
Given the inequality expression:
w−0.8>−2.4
Inequalities are expressions separated by an unequal sign.
According to the given question, we need to find the solution for "w"
w−0.8>−2.4
Add 0.8 to both sides
w−0.8+0.8>−2.4 + 0.8
w > -2.4 + 0.8
Simplify the result by adding to have:
w > -1.6
Find the number line representing the solution attached;
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Tiana’s dinner bill is $25. She tips her server 15%. How much does Tiana tip the server?
Answer:
3.75$
Step-by-step explanation:
The part is the unknown.
Set up a proportion with the known values and solve for the part.
Using whole = $25, percent = 15%, part = ? dollars
part whole=percent 100→?25=15100
Multiply the numerator and denominator of a fraction by the
same number to determine an equivalent fraction.
StartFraction question mark Over 25 EndFraction = StartFraction 15 Over 100 EndFraction. Arrows going from question mark to 15 and from 25 to 100 are labeled times 4. ?×425×4==15100
Solve for the part.
?=15÷4=334=3.75
HELP ! Will give brainliest
Answer:
look it up thats what i do
Step-by-step explanation: